details

property	value
status	complete
benchmark	shornodot.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n185.star.cs.uiowa.edu
space	Kaliszyk_19

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	133.76 seconds
cpu usage	133.98
user time	133.17
system time	0.81
max virtual memory	523148.0
max residence set size	50456.0

stage attributes

key	value
starexec-result	YES

output

YES Input TRS: 1: i(i(realu_div(),i(realu_abs(),i(i(realu_add(),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),c),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(realu_sub(),i(i(d_(),d),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))))),i(i(realu_add(),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),c),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))),i(i(realu_sub(),i(i(d_(),d),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0()))))))),i(i(realu_sub(),i(i(realu_sub(),i(i(realu_sub(),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),c),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(realu_sub(),i(i(d_(),d),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))))),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),c),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))),i(i(realu_sub(),i(i(d_(),d),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))))),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),c),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(realu_sub(),i(i(d_(),d),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))))))),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),c),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(realu_sub(),i(i(d_(),d),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0()))))))))))),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),i(BIT1(),u_0())))))) -> i(measure(),i(i(hull(),convex()),i(i(INSERT(),a),i(i(INSERT(),b),i(i(INSERT(),c),i(i(INSERT(),d),EMPTY())))))) 2: i(i(realu_add(),i(i(realu_mul(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),u_0())))),i(NUMERAL(),i(BIT1(),u_0())))),i(i(realu_mul(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))))),i(i(realu_add(),i(i(realu_mul(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),u_0())))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(realu_mul(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(NUMERAL(),i(BIT1(),u_0())))))),i(i(realu_sub(),i(i(realu_sub(),i(i(realu_sub(),i(i(realu_mul(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),u_0())))),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(i(realu_mul(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))),i(i(realu_mul(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),u_0())))),i(NUMERAL(),i(BIT1(),u_0())))),i(i(realu_mul(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))))),i(i(realu_mul(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),u_0())))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(realu_mul(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))))),i(i(realu_mul(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),u_0())))),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(i(realu_mul(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(NUMERAL(),i(BIT1(),u_0())))))))) -> i(det(),A) 3: i(i(s_b_(),i(i(a_(),i(i(realu_add(),i(i(realu_pow(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),u_0())))),i(NUMERAL(),i(BIT1(),u_0())))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(realu_pow(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(NUMERAL(),i(BIT1(),u_0())))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(b_s_(),i(i(s_b_(),i(i(a_(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),u_0())))),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(a_(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),u_0())))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(realu_neg(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(NUMERAL(),i(BIT1(),u_0()))))))),i(i(s_b_(),i(i(a_(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),u_0())))),i(NUMERAL(),i(BIT1(),u_0())))),i(realu_neg(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))),i(i(a_(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),u_0())))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(NUMERAL(),i(BIT1(),u_0()))))))) -> i(orthogonalu_matrix(),A) 4: i(i(s_b_(),i(i(a_(),i(i(realu_add(),i(i(realu_pow(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),u_0())))),i(NUMERAL(),i(BIT1(),u_0())))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(realu_pow(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(NUMERAL(),i(BIT1(),u_0())))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(s_b_(),i(i(a_(),i(i(realu_add(),i(i(realu_pow(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),u_0())))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(realu_pow(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(a_(),i(i(realu_add(),i(i(realu_mul(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),u_0())))),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),u_0())))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(realu_mul(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))),i(realu_ofu_num(),i(NUMERAL(),u_0()))))) -> i(orthogonalu_matrix(),A) 5: i(vector(),i(i(CONS(),i(i(realu_sub(),i(i(realu_mul(),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),b),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))),i(i(realu_mul(),i(i(d_(),a),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))),i(i(CONS(),i(i(realu_sub(),i(i(realu_mul(),i(i(d_(),a),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(realu_mul(),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),b),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))))),i(i(CONS(),i(i(realu_sub(),i(i(realu_mul(),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(realu_mul(),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0())))))),NIL())))) -> i(i(cross(),a),b) 6: i(i(i(COND(),i(i(s_b_(),i(i(realu_lt(),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(s_b_(),i(i(realu_lt(),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(realu_lt(),i(i(d_(),a),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(i(d_(),b),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))))),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))))),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(measure(),i(openu_interval(),i(i(c_(),a),b))) 7: i(i(i(COND(),i(i(s_b_(),i(i(realu_lt(),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(s_b_(),i(i(realu_lt(),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(realu_lt(),i(i(d_(),a),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(i(d_(),b),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))))),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))))),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(measure(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))) 8: i(i(i(COND(),i(i(s_b_(),i(i(realu_lt(),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(s_b_(),i(i(realu_lt(),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(realu_lt(),i(i(d_(),a),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(i(d_(),b),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))))),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0()))))))),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(volu_rect(),a),b) 9: i(i(i(COND(),i(i(s_b_(),i(i(realu_le(),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(s_b_(),i(i(realu_le(),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(realu_le(),i(i(d_(),a),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(i(d_(),b),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))))),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))))),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(measure(),i(openu_interval(),i(i(c_(),a),b))) 10: i(i(i(COND(),i(i(s_b_(),i(i(realu_le(),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(s_b_(),i(i(realu_le(),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(realu_le(),i(i(d_(),a),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(i(d_(),b),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))))),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))))),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(measure(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))) 11: i(i(s_b_(),i(i(a_(),i(i(realu_add(),i(i(realu_pow(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),u_0())))),i(NUMERAL(),i(BIT1(),u_0())))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(realu_pow(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(NUMERAL(),i(BIT1(),u_0())))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(s_b_(),i(i(a_(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),u_0())))),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(a_(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),u_0())))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(realu_neg(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(NUMERAL(),i(BIT1(),u_0()))))))) -> i(rotationu_matrix(),A) 12: i(i(s_b_(),i(i(realu_le(),i(realu_abs(),i(i(d_(),x),i(NUMERAL(),i(BIT1(),u_0()))))),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(s_b_(),i(i(realu_le(),i(realu_abs(),i(i(d_(),x),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(b_s_(),i(i(a_(),i(i(d_(),x),i(NUMERAL(),i(BIT1(),u_0())))),i(realu_neg(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))))),i(i(b_s_(),i(i(a_(),i(i(d_(),x),i(NUMERAL(),i(BIT1(),u_0())))),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(b_s_(),i(i(a_(),i(i(d_(),x),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(realu_neg(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))))),i(i(a_(),i(i(d_(),x),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))))))) -> i(i(a_(),i(infnorm(),x)),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) 13: i(i(realu_add(),i(i(realu_mul(),x1),i(i(realu_mul(),x4),i(i(realu_add(),i(realu_neg(),x1)),i(i(realu_add(),x2),i(i(realu_add(),i(i(realu_sub(),x3),x4)),i(i(realu_add(),x5),x6))))))),i(i(realu_add(),i(i(realu_mul(),x2),i(i(realu_mul(),x5),i(i(realu_add(),i(i(realu_sub(),x1),x2)),i(i(realu_add(),x3),i(i(realu_add(),i(i(realu_sub(),x4),x5)),x6)))))),i(i(realu_sub(),i(i(realu_sub(),i(i(realu_sub(),i(i(realu_sub(),i(i(realu_mul(),x3),i(i(realu_mul(),x6),i(i(realu_add(),x1),i(i(realu_add(),i(i(realu_sub(),x2),x3)),i(i(realu_add(),x4),i(i(realu_sub(),x5),x6))))))),i(i(realu_mul(),x2),i(i(realu_mul(),x3),x4)))),i(i(realu_mul(),x1),i(i(realu_mul(),x3),x5)))),i(i(realu_mul(),x1),i(i(realu_mul(),x2),x6)))),i(i(realu_mul(),x4),i(i(realu_mul(),x5),x6))))) -> i(i(i(i(i(i(deltau_x(),x1),x2),x3),x4),x5),x6) 14: i(i(i(COND(),i(i(a_(),i(Im(),z)),i(realu_ofu_num(),i(NUMERAL(),u_0())))),i(i(i(COND(),i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(Re(),z))),i(complex(),i(i(c_(),i(sqrt(),i(Re(),z))),i(realu_ofu_num(),i(NUMERAL(),u_0()))))),i(complex(),i(i(c_(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(sqrt(),i(realu_neg(),i(Re(),z))))))),i(complex(),i(i(c_(),i(sqrt(),i(i(realu_div(),i(i(realu_add(),i(vectoru_norm(),z)),i(Re(),z))),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))),i(i(realu_mul(),i(i(realu_div(),i(Im(),z)),i(realu_abs(),i(Im(),z)))),i(sqrt(),i(i(realu_div(),i(i(realu_sub(),i(vectoru_norm(),z)),i(Re(),z))),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))))))) -> i(csqrt(),z) 15: i(i(realu_div(),i(sqrt(),i(i(i(i(i(i(deltau_x(),i(i(realu_pow(),i(distance(),i(i(c_(),x1),x2))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(realu_pow(),i(distance(),i(i(c_(),x1),x3))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(realu_pow(),i(distance(),i(i(c_(),x1),x4))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(realu_pow(),i(distance(),i(i(c_(),x3),x4))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(realu_pow(),i(distance(),i(i(c_(),x2),x4))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(realu_pow(),i(distance(),i(i(c_(),x2),x3))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT0(),i(BIT1(),i(BIT1(),u_0()))))))) -> i(measure(),i(i(hull(),convex()),i(i(INSERT(),x1),i(i(INSERT(),x2),i(i(INSERT(),x3),i(i(INSERT(),x4),EMPTY())))))) 16: i(i(s_b_(),i(i(differentiable(),f),i(at(),z))),i(i(s_b_(),i(i(a_(),i(i(d_(),i(i(d_(),i(i(jacobian(),f),i(at(),z))),i(NUMERAL(),i(BIT1(),u_0())))),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),i(i(d_(),i(i(jacobian(),f),i(at(),z))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(a_(),i(i(d_(),i(i(d_(),i(i(jacobian(),f),i(at(),z))),i(NUMERAL(),i(BIT1(),u_0())))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(realu_neg(),i(i(d_(),i(i(d_(),i(i(jacobian(),f),i(at(),z))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(NUMERAL(),i(BIT1(),u_0()))))))) -> i(i(complexu_differentiable(),f),i(at(),z)) 17: i(i(s_b_(),i(i(a_(),i(i(dot(),e1),e1)),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(s_b_(),i(i(a_(),i(i(dot(),e2),e2)),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(s_b_(),i(i(a_(),i(i(dot(),e3),e3)),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(s_b_(),i(i(a_(),i(i(dot(),e1),e2)),i(realu_ofu_num(),i(NUMERAL(),u_0())))),i(i(s_b_(),i(i(a_(),i(i(dot(),e1),e3)),i(realu_ofu_num(),i(NUMERAL(),u_0())))),i(i(s_b_(),i(i(a_(),i(i(dot(),e2),e3)),i(realu_ofu_num(),i(NUMERAL(),u_0())))),i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(i(dot(),i(i(cross(),e1),e2)),e3)))))))) -> i(i(i(orthonormal(),e1),e2),e3) 18: i(i(realu_add(),i(i(realu_mul(),i(det(),i(vector(),i(i(CONS(),y1),i(i(CONS(),x2),i(i(CONS(),x3),NIL())))))),i(det(),i(vector(),i(i(CONS(),x1),i(i(CONS(),y2),i(i(CONS(),y3),NIL()))))))),i(i(realu_add(),i(i(realu_mul(),i(det(),i(vector(),i(i(CONS(),y2),i(i(CONS(),x2),i(i(CONS(),x3),NIL())))))),i(det(),i(vector(),i(i(CONS(),y1),i(i(CONS(),x1),i(i(CONS(),y3),NIL()))))))),i(i(realu_mul(),i(det(),i(vector(),i(i(CONS(),y3),i(i(CONS(),x2),i(i(CONS(),x3),NIL())))))),i(det(),i(vector(),i(i(CONS(),y1),i(i(CONS(),y2),i(i(CONS(),x1),NIL())))))))) -> i(i(realu_mul(),i(det(),i(vector(),i(i(CONS(),x1),i(i(CONS(),x2),i(i(CONS(),x3),NIL())))))),i(det(),i(vector(),i(i(CONS(),y1),i(i(CONS(),y2),i(i(CONS(),y3),NIL())))))) 19: i(i(realu_div(),i(realu_abs(),i(i(realu_sub(),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(realu_sub(),i(i(d_(),c),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(realu_sub(),i(i(d_(),c),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0())))))))),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))) -> i(measure(),i(i(hull(),convex()),i(i(INSERT(),a),i(i(INSERT(),b),i(i(INSERT(),c),EMPTY()))))) 20: i(i(i(COND(),i(i(s_b_(),i(i(realu_lt(),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(realu_lt(),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(measure(),i(openu_interval(),i(i(c_(),a),b))) 21: i(i(i(COND(),i(i(s_b_(),i(i(realu_lt(),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(realu_lt(),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(measure(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))) 22: i(i(i(COND(),i(i(s_b_(),i(i(realu_le(),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(realu_le(),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(measure(),i(openu_interval(),i(i(c_(),a),b))) 23: i(i(i(COND(),i(i(s_b_(),i(i(realu_le(),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(realu_le(),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),a),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(realu_sub(),i(i(d_(),b),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),a),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(measure(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))) 24: i(i(a_(),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),z),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),x),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(realu_sub(),i(i(d_(),y),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),x),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))),i(i(realu_mul(),i(i(realu_sub(),i(i(d_(),y),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),x),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(realu_sub(),i(i(d_(),z),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),x),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))) -> i(collinear(),i(i(INSERT(),x),i(i(INSERT(),y),i(i(INSERT(),z),EMPTY())))) 25: i(i(realu_sub(),i(i(realu_mul(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),u_0())))),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(realu_mul(),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT1(),u_0())))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),i(i(d_(),A),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(NUMERAL(),i(BIT1(),u_0()))))) -> i(det(),A) 26: i(i(realu_sub(),i(i(realu_add(),i(i(realu_pow(),i(distance(),i(i(c_(),A),B))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(realu_pow(),i(distance(),i(i(c_(),A),C))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(realu_mul(),i(distance(),i(i(c_(),A),B))),i(i(realu_mul(),i(distance(),i(i(c_(),A),C))),i(cos(),i(angle(),i(i(c_(),B),i(i(c_(),A),C)))))))) -> i(i(realu_pow(),i(distance(),i(i(c_(),B),C))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))) 27: i(vector(),i(i(CONS(),i(i(realu_mul(),i(i(d_(),t),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),u),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(CONS(),i(i(realu_mul(),i(i(d_(),t),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),u),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(CONS(),i(i(realu_mul(),i(i(d_(),t),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(i(d_(),u),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))),NIL())))) -> i(i(scale(),t),u) 28: i(vector(),i(i(CONS(),i(i(realu_sub(),i(i(realu_mul(),i(i(d_(),x),i(NUMERAL(),i(BIT1(),u_0())))),i(cos(),t))),i(i(realu_mul(),i(i(d_(),x),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(sin(),t)))),i(i(CONS(),i(i(realu_add(),i(i(realu_mul(),i(i(d_(),x),i(NUMERAL(),i(BIT1(),u_0())))),i(sin(),t))),i(i(realu_mul(),i(i(d_(),x),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(cos(),t)))),NIL()))) -> i(i(rotate2d(),t),x) 29: i(i(i(COND(),i(i(b_s_(),i(i(a_(),a),b)),i(i(a_(),c),b))),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))),i(sqrt(),i(i(realu_sub(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))),i(i(realu_pow(),i(i(realu_div(),i(i(dot(),i(i(vectoru_sub(),a),b)),i(i(vectoru_sub(),c),b))),i(i(realu_mul(),i(vectoru_norm(),i(i(vectoru_sub(),a),b))),i(vectoru_norm(),i(i(vectoru_sub(),c),b))))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))) -> i(sin(),i(angle(),i(i(c_(),a),i(i(c_(),b),c)))) 30: i(complex(),i(i(c_(),i(i(realu_div(),i(Re(),z)),i(i(realu_add(),i(i(realu_pow(),i(Re(),z)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(realu_pow(),i(Im(),z)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))),i(i(realu_div(),i(realu_neg(),i(Im(),z))),i(i(realu_add(),i(i(realu_pow(),i(Re(),z)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(realu_pow(),i(Im(),z)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))))) -> i(complexu_inv(),z) 31: i(i(realu_add(),i(i(realu_mul(),i(i(d_(),x),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),y),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(realu_add(),i(i(realu_mul(),i(i(d_(),x),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),y),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(realu_mul(),i(i(d_(),x),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(i(d_(),y),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))))) -> i(i(dot(),x),y) 32: i(i(s_b_(),i(w_(),i(i(a_(),A),B))),i(i(s_b_(),i(w_(),i(i(a_(),C),B))),i(i(b_s_(),i(i(a_(),i(distance(),i(i(c_(),A),B))),i(i(realu_add(),i(distance(),i(i(c_(),A),C))),i(distance(),i(i(c_(),C),B))))),i(i(a_(),i(distance(),i(i(c_(),B),C))),i(i(realu_add(),i(distance(),i(i(c_(),A),C))),i(distance(),i(i(c_(),A),B))))))) -> i(i(a_(),i(angle(),i(i(c_(),A),i(i(c_(),B),C)))),i(realu_ofu_num(),i(NUMERAL(),u_0()))) 33: i(i(i(COND(),i(i(b_s_(),i(i(a_(),a),b)),i(i(a_(),c),b))),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))),i(i(realu_sub(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))),i(i(realu_pow(),i(i(realu_div(),i(i(dot(),i(i(vectoru_sub(),a),b)),i(i(vectoru_sub(),c),b))),i(i(realu_mul(),i(vectoru_norm(),i(i(vectoru_sub(),a),b))),i(vectoru_norm(),i(i(vectoru_sub(),c),b))))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))) -> i(i(realu_pow(),i(sin(),i(angle(),i(i(c_(),a),i(i(c_(),b),c))))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))) 34: i(i(i(COND(),i(i(b_s_(),i(i(a_(),x),i(vec(),i(NUMERAL(),u_0())))),i(i(a_(),y),i(vec(),i(NUMERAL(),u_0()))))),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))),i(sqrt(),i(i(realu_sub(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))),i(i(realu_pow(),i(i(realu_div(),i(i(dot(),x),y)),i(i(realu_mul(),i(vectoru_norm(),x)),i(vectoru_norm(),y)))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))) -> i(sin(),i(i(vectoru_angle(),x),y)) 35: i(i(i(COND(),i(i(a_(),k),i(i(p_(),n),i(NUMERAL(),i(BIT1(),u_0()))))),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))),i(i(realu_mul(),i(i(realu_div(),i(i(realu_add(),i(realu_ofu_num(),n)),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(realu_add(),i(realu_ofu_num(),n)),i(i(realu_sub(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))),i(realu_ofu_num(),k))))),i(realu_ofu_num(),i(binom(),i(i(c_(),n),k))))) -> i(realu_ofu_num(),i(binom(),i(i(c_(),i(i(p_(),n),i(NUMERAL(),i(BIT1(),u_0())))),k))) 36: i(i(i(COND(),i(i(b_s_(),i(i(a_(),x),i(vec(),i(NUMERAL(),u_0())))),i(i(a_(),y),i(vec(),i(NUMERAL(),u_0()))))),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))),i(i(realu_sub(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))),i(i(realu_pow(),i(i(realu_div(),i(i(dot(),x),y)),i(i(realu_mul(),i(vectoru_norm(),x)),i(vectoru_norm(),y)))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))) -> i(i(realu_pow(),i(sin(),i(i(vectoru_angle(),x),y))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))) 37: i(i(b_s_(),i(i(a_(),x),i(realu_ofu_num(),i(NUMERAL(),u_0())))),i(i(b_s_(),i(i(a_(),y),i(realu_ofu_num(),i(NUMERAL(),u_0())))),i(i(b_s_(),i(i(s_b_(),i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),x)),i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),y))),i(i(s_b_(),i(i(realu_lt(),x),i(realu_ofu_num(),i(NUMERAL(),u_0())))),i(i(realu_lt(),y),i(realu_ofu_num(),i(NUMERAL(),u_0()))))))) -> i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(i(realu_mul(),x),y)) 38: i(i(b_s_(),i(i(a_(),x),i(intu_ofu_num(),i(NUMERAL(),u_0())))),i(i(b_s_(),i(i(a_(),y),i(intu_ofu_num(),i(NUMERAL(),u_0())))),i(i(b_s_(),i(i(s_b_(),i(i(intu_lt(),i(intu_ofu_num(),i(NUMERAL(),u_0()))),x)),i(i(intu_lt(),i(intu_ofu_num(),i(NUMERAL(),u_0()))),y))),i(i(s_b_(),i(i(intu_lt(),x),i(intu_ofu_num(),i(NUMERAL(),u_0())))),i(i(intu_lt(),y),i(intu_ofu_num(),i(NUMERAL(),u_0()))))))) -> i(i(intu_le(),i(intu_ofu_num(),i(NUMERAL(),u_0()))),i(i(intu_mul(),x),y)) 39: i(i(realu_mul(),i(i(i(i(azim(),v0),v1),v2),v3)),i(i(realu_mul(),i(i(realu_pow(),h),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(i(realu_div(),i(i(realu_sub(),i(i(realu_div(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))),i(i(realu_mul(),a),a))),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),i(BIT1(),u_0())))))))) -> i(i(i(i(i(i(volu_frusttu_wedge(),v0),v1),v2),v3),h),a) 40: i(i(realu_div(),i(i(realu_sub(),i(i(realu_add(),i(i(realu_pow(),i(vectoru_norm(),x)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(realu_pow(),i(vectoru_norm(),y)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(realu_pow(),i(vectoru_norm(),i(i(vectoru_sub(),x),y))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))) -> i(i(dot(),x),y) 41: i(i(realu_div(),i(i(realu_sub(),i(i(realu_sub(),i(i(realu_pow(),i(vectoru_norm(),i(i(vectoru_add(),x),y))),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(realu_pow(),i(vectoru_norm(),x)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(realu_pow(),i(vectoru_norm(),y)),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))) -> i(i(dot(),x),y) 42: i(i(realu_add(),i(i(realu_mul(),i(det(),i(vector(),i(i(CONS(),y1),i(i(CONS(),x2),NIL()))))),i(det(),i(vector(),i(i(CONS(),x1),i(i(CONS(),y2),NIL())))))),i(i(realu_mul(),i(det(),i(vector(),i(i(CONS(),y2),i(i(CONS(),x2),NIL()))))),i(det(),i(vector(),i(i(CONS(),y1),i(i(CONS(),x1),NIL())))))) -> i(i(realu_mul(),i(det(),i(vector(),i(i(CONS(),x1),i(i(CONS(),x2),NIL()))))),i(det(),i(vector(),i(i(CONS(),y1),i(i(CONS(),y2),NIL()))))) 43: i(i(INTER(),i(i(hull(),affine()),i(i(INSERT(),a),i(i(INSERT(),b),EMPTY())))),i(ball(),i(i(c_(),i(i(r_(),i(realu_inv(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(vectoru_add(),a),b))),i(i(realu_div(),i(vectoru_norm(),i(i(vectoru_sub(),b),a))),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))))) -> i(openu_segment(),i(i(c_(),a),b)) 44: i(i(INTER(),i(i(hull(),affine()),i(i(INSERT(),a),i(i(INSERT(),b),EMPTY())))),i(cball(),i(i(c_(),i(i(r_(),i(realu_inv(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(vectoru_add(),a),b))),i(i(realu_div(),i(vectoru_norm(),i(i(vectoru_sub(),b),a))),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))))) -> i(closedu_segment(),i(i(CONS(),i(i(c_(),a),b)),NIL())) 45: i(i(complexu_mul(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(complexu_mul(),i(csin(),i(i(complexu_div(),i(i(vectoru_sub(),w),z)),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))))),i(ccos(),i(i(complexu_div(),i(i(vectoru_add(),w),z)),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))))) -> i(i(vectoru_sub(),i(csin(),w)),i(csin(),z)) 46: i(i(complexu_mul(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(complexu_mul(),i(csin(),i(i(complexu_div(),i(i(vectoru_add(),w),z)),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))))),i(ccos(),i(i(complexu_div(),i(i(vectoru_sub(),w),z)),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))))) -> i(i(vectoru_add(),i(csin(),w)),i(csin(),z)) 47: i(i(complexu_mul(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(complexu_mul(),i(csin(),i(i(complexu_div(),i(i(vectoru_add(),w),z)),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))))),i(csin(),i(i(complexu_div(),i(i(vectoru_sub(),z),w)),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))))) -> i(i(vectoru_sub(),i(ccos(),w)),i(ccos(),z)) 48: i(i(complexu_mul(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(complexu_mul(),i(ccos(),i(i(complexu_div(),i(i(vectoru_add(),w),z)),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))))),i(ccos(),i(i(complexu_div(),i(i(vectoru_sub(),w),z)),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))))) -> i(i(vectoru_add(),i(ccos(),w)),i(ccos(),z)) 49: i(i(DIFF(),i(i(hull(),convex()),i(i(INSERT(),a),i(i(INSERT(),b),i(i(INSERT(),c),EMPTY()))))),i(i(UNION(),i(closedu_segment(),i(i(CONS(),i(i(c_(),a),b)),NIL()))),i(i(UNION(),i(closedu_segment(),i(i(CONS(),i(i(c_(),b),c)),NIL()))),i(closedu_segment(),i(i(CONS(),i(i(c_(),c),a)),NIL()))))) -> i(interior(),i(i(hull(),convex()),i(i(INSERT(),a),i(i(INSERT(),b),i(i(INSERT(),c),EMPTY()))))) 50: i(i(complexu_mul(),i(i(complexu_div(),ii()),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))),i(clog(),i(i(complexu_div(),i(i(vectoru_sub(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(complexu_mul(),ii()),z))),i(i(vectoru_add(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(complexu_mul(),ii()),z))))) -> i(catn(),z) 51: i(i(i(COND(),i(i(b_s_(),i(i(a_(),x),i(vec(),i(NUMERAL(),u_0())))),i(i(a_(),y),i(vec(),i(NUMERAL(),u_0()))))),i(i(realu_div(),pi()),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(acs(),i(i(realu_div(),i(i(dot(),x),y)),i(i(realu_mul(),i(vectoru_norm(),x)),i(vectoru_norm(),y))))) -> i(i(vectoru_angle(),x),y) 52: i(i(b_s_(),i(i(a_(),i(angle(),i(i(c_(),A),i(i(c_(),B),C)))),i(angle(),i(i(c_(),Ai_),i(i(c_(),Bi_),Ci_))))),i(i(a_(),i(angle(),i(i(c_(),A),i(i(c_(),B),C)))),i(i(realu_sub(),pi()),i(angle(),i(i(c_(),Ai_),i(i(c_(),Bi_),Ci_)))))) -> i(i(a_(),i(sin(),i(angle(),i(i(c_(),A),i(i(c_(),B),C))))),i(sin(),i(angle(),i(i(c_(),Ai_),i(i(c_(),Bi_),Ci_))))) 53: i(i(i(COND(),i(i(b_s_(),i(i(a_(),a),b)),i(i(a_(),c),b))),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(i(realu_div(),i(i(dot(),i(i(vectoru_sub(),a),b)),i(i(vectoru_sub(),c),b))),i(i(realu_mul(),i(vectoru_norm(),i(i(vectoru_sub(),a),b))),i(vectoru_norm(),i(i(vectoru_sub(),c),b))))) -> i(cos(),i(angle(),i(i(c_(),a),i(i(c_(),b),c)))) 54: i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(realu_mul(),i(sin(),i(i(realu_div(),i(i(realu_add(),x),y)),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))),i(cos(),i(i(realu_div(),i(i(realu_sub(),x),y)),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))))) -> i(i(realu_add(),i(sin(),x)),i(sin(),y)) 55: i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(realu_mul(),i(sin(),i(i(realu_div(),i(i(realu_sub(),x),y)),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))),i(cos(),i(i(realu_div(),i(i(realu_add(),x),y)),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))))) -> i(i(realu_sub(),i(sin(),x)),i(sin(),y)) 56: i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(realu_mul(),i(cos(),i(i(realu_div(),i(i(realu_add(),x),y)),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))),i(cos(),i(i(realu_div(),i(i(realu_sub(),x),y)),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))))) -> i(i(realu_add(),i(cos(),x)),i(cos(),y)) 57: i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(realu_mul(),i(sin(),i(i(realu_div(),i(i(realu_add(),x),y)),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))),i(sin(),i(i(realu_div(),i(i(realu_sub(),y),x)),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))))) -> i(i(realu_sub(),i(cos(),x)),i(cos(),y)) 58: i(i(s_b_(),i(w_(),i(i(a_(),x),i(vec(),i(NUMERAL(),u_0()))))),i(i(s_b_(),i(w_(),i(i(a_(),y),i(vec(),i(NUMERAL(),u_0()))))),i(i(a_(),i(i(vectoru_add(),i(i(r_(),i(vectoru_norm(),x)),y)),i(i(r_(),i(vectoru_norm(),y)),x))),i(vec(),i(NUMERAL(),u_0()))))) -> i(i(a_(),i(i(vectoru_angle(),x),y)),pi()) 59: i(i(i(COND(),i(i(a_(),a),i(realu_ofu_num(),i(NUMERAL(),u_0())))),i(i(realu_div(),pi()),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(i(COND(),i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),a)),i(i(vectoru_angle(),x),y)),i(i(realu_sub(),pi()),i(i(vectoru_angle(),x),y)))) -> i(i(vectoru_angle(),i(i(r_(),a),x)),y) 60: i(i(i(COND(),i(i(a_(),a),i(realu_ofu_num(),i(NUMERAL(),u_0())))),i(i(realu_div(),pi()),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))),i(i(i(COND(),i(i(realu_le(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),a)),i(i(vectoru_angle(),x),y)),i(i(realu_sub(),pi()),i(i(vectoru_angle(),x),y)))) -> i(i(vectoru_angle(),x),i(i(r_(),a),y)) 61: i(i(i(COND(),i(i(realu_lt(),i(i(realu_add(),i(frac(),x)),i(frac(),y))),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(realu_add(),i(frac(),x)),i(frac(),y))),i(i(realu_sub(),i(i(realu_add(),i(frac(),x)),i(frac(),y))),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))) -> i(frac(),i(i(realu_add(),x),y)) 62: i(i(i(COND(),i(i(realu_lt(),i(i(realu_add(),i(frac(),x)),i(frac(),y))),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(realu_add(),i(floor(),x)),i(floor(),y))),i(i(realu_add(),i(i(realu_add(),i(floor(),x)),i(floor(),y))),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))) -> i(floor(),i(i(realu_add(),x),y)) 63: i(i(s_b_(),i(i(a_(),i(Im(),x)),i(realu_ofu_num(),i(NUMERAL(),u_0())))),i(i(b_s_(),i(i(s_b_(),i(i(realu_le(),a),i(Re(),x))),i(i(realu_le(),i(Re(),x)),b))),i(i(s_b_(),i(i(realu_le(),b),i(Re(),x))),i(i(realu_le(),i(Re(),x)),a)))) -> i(i(IN(),x),i(closedu_segment(),i(i(CONS(),i(i(c_(),i(Cx(),a)),i(Cx(),b))),NIL()))) 64: i(i(b_s_(),i(i(s_b_(),i(i(l_a_(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))),x)),i(i(l_(),m),n))),i(i(s_b_(),i(i(a_(),x),i(NUMERAL(),u_0()))),i(i(s_b_(),i(w_(),i(i(a_(),m),i(NUMERAL(),u_0())))),i(i(a_(),n),i(NUMERAL(),u_0()))))) -> i(i(l_(),i(i(EXP(),x),m)),i(i(EXP(),x),n)) 65: i(i(realu_add(),i(i(realu_mul(),i(i(d_(),x),i(NUMERAL(),i(BIT1(),u_0())))),i(i(d_(),y),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(realu_mul(),i(i(d_(),x),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(d_(),y),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))) -> i(i(dot(),x),y) 66: i(i(b_s_(),i(i(s_b_(),i(i(a_(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))),EMPTY())),i(i(a_(),i(closedu_interval(),i(i(CONS(),i(i(c_(),c),d)),NIL()))),EMPTY()))),i(i(s_b_(),i(i(a_(),a),c)),i(i(a_(),b),d))) -> i(i(a_(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))),i(closedu_interval(),i(i(CONS(),i(i(c_(),c),d)),NIL()))) 67: i(i(realu_mul(),i(i(i(i(azim(),v0),v1),v2),v3)),i(i(realu_mul(),i(i(realu_sub(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))),c)),i(i(realu_div(),i(i(realu_pow(),r),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))))) -> i(i(i(i(i(i(volu_conicu_capu_wedge(),v0),v1),v2),v3),r),c) 68: i(i(s_b_(),i(w_(),i(i(a_(),A),B))),i(i(s_b_(),i(w_(),i(i(a_(),C),B))),i(i(a_(),i(distance(),i(i(c_(),A),C))),i(realu_abs(),i(i(realu_sub(),i(distance(),i(i(c_(),A),B))),i(distance(),i(i(c_(),C),B))))))) -> i(i(a_(),i(angle(),i(i(c_(),A),i(i(c_(),B),C)))),i(realu_ofu_num(),i(NUMERAL(),u_0()))) 69: i(i(i(COND(),i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),x)),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))),i(i(i(COND(),i(i(realu_lt(),x),i(realu_ofu_num(),i(NUMERAL(),u_0())))),i(realu_neg(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),i(realu_ofu_num(),i(NUMERAL(),u_0())))) -> i(realu_sgn(),x) 70: i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(Re(),i(i(complexu_div(),i(i(vectoru_sub(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(complexu_mul(),ii()),z))),i(i(vectoru_add(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(complexu_mul(),ii()),z))))) -> i(i(realu_lt(),i(vectoru_norm(),z)),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) 71: i(i(i(COND(),i(i(intu_lt(),i(intu_ofu_num(),i(NUMERAL(),u_0()))),x)),i(intu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))),i(i(i(COND(),i(i(intu_lt(),x),i(intu_ofu_num(),i(NUMERAL(),u_0())))),i(intu_neg(),i(intu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),i(intu_ofu_num(),i(NUMERAL(),u_0())))) -> i(intu_sgn(),x) 72: i(complex(),i(i(c_(),i(i(realu_sub(),i(i(realu_mul(),i(Re(),w)),i(Re(),z))),i(i(realu_mul(),i(Im(),w)),i(Im(),z)))),i(i(realu_add(),i(i(realu_mul(),i(Re(),w)),i(Im(),z))),i(i(realu_mul(),i(Im(),w)),i(Re(),z))))) -> i(i(complexu_mul(),w),z) 73: i(i(s_b_(),i(w_(),i(i(a_(),x),i(vec(),i(NUMERAL(),u_0()))))),i(i(s_b_(),i(w_(),i(i(a_(),y),i(vec(),i(NUMERAL(),u_0()))))),i(i(a_(),i(vectoru_norm(),i(i(vectoru_sub(),x),y))),i(i(realu_add(),i(vectoru_norm(),x)),i(vectoru_norm(),y))))) -> i(i(a_(),i(i(vectoru_angle(),x),y)),pi()) 74: i(i(i(COND(),i(i(b_s_(),i(i(a_(),x),i(vec(),i(NUMERAL(),u_0())))),i(i(a_(),y),i(vec(),i(NUMERAL(),u_0()))))),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(i(realu_div(),i(i(dot(),x),y)),i(i(realu_mul(),i(vectoru_norm(),x)),i(vectoru_norm(),y)))) -> i(cos(),i(i(vectoru_angle(),x),y)) 75: i(i(s_b_(),i(w_(),i(i(a_(),x),i(vec(),i(NUMERAL(),u_0()))))),i(i(s_b_(),i(w_(),i(i(a_(),y),i(vec(),i(NUMERAL(),u_0()))))),i(i(a_(),i(vectoru_norm(),i(i(vectoru_add(),x),y))),i(i(realu_add(),i(vectoru_norm(),x)),i(vectoru_norm(),y))))) -> i(i(a_(),i(i(vectoru_angle(),x),y)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) 76: i(i(a_(),i(Im(),i(i(complexu_div(),i(i(vectoru_sub(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(complexu_mul(),ii()),z))),i(i(vectoru_add(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(complexu_mul(),ii()),z))))),i(realu_ofu_num(),i(NUMERAL(),u_0()))) -> i(i(a_(),i(Re(),z)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) 77: i(measure(),i(i(INTER(),i(ball(),i(i(c_(),i(vec(),i(NUMERAL(),u_0()))),r))),i(i(affu_gt(),i(i(INSERT(),i(vec(),i(NUMERAL(),u_0()))),EMPTY())),i(i(INSERT(),i(vectoru_neg(),v1)),i(i(INSERT(),i(vectoru_neg(),v2)),i(i(INSERT(),i(vectoru_neg(),v3)),EMPTY())))))) -> i(measure(),i(i(INTER(),i(ball(),i(i(c_(),i(vec(),i(NUMERAL(),u_0()))),r))),i(i(affu_gt(),i(i(INSERT(),i(vec(),i(NUMERAL(),u_0()))),EMPTY())),i(i(INSERT(),v1),i(i(INSERT(),v2),i(i(INSERT(),v3),EMPTY())))))) 78: i(i(realu_mul(),i(i(i(i(azim(),v0),v1),v2),v3)),i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))),i(i(realu_div(),i(i(realu_pow(),r),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))))) -> i(i(i(i(i(volu_ballu_wedge(),v0),v1),v2),v3),r) 79: i(i(s_b_(),i(w_(),i(i(a_(),A),B))),i(i(s_b_(),i(w_(),i(i(a_(),C),B))),i(i(a_(),i(distance(),i(i(c_(),A),C))),i(i(realu_add(),i(distance(),i(i(c_(),A),B))),i(distance(),i(i(c_(),B),C)))))) -> i(i(a_(),i(angle(),i(i(c_(),A),i(i(c_(),B),C)))),pi()) 80: i(i(realu_sub(),i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),i(BIT0(),i(BIT0(),i(BIT1(),u_0())))))),i(i(realu_pow(),i(cos(),x)),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0())))))),i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),i(cos(),x))) -> i(cos(),i(i(realu_mul(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),i(BIT1(),u_0()))))),x)) 81: i(i(b_s_(),i(i(s_b_(),i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),x)),i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),y))),i(i(s_b_(),i(i(realu_lt(),x),i(realu_ofu_num(),i(NUMERAL(),u_0())))),i(i(realu_lt(),y),i(realu_ofu_num(),i(NUMERAL(),u_0()))))) -> i(i(realu_lt(),i(realu_ofu_num(),i(NUMERAL(),u_0()))),i(i(realu_mul(),x),y)) 82: i(i(s_b_(),i(w_(),i(i(a_(),x),i(vec(),i(NUMERAL(),u_0()))))),i(i(s_b_(),i(w_(),i(i(a_(),y),i(vec(),i(NUMERAL(),u_0()))))),i(i(a_(),i(i(r_(),i(vectoru_norm(),x)),y)),i(i(r_(),i(vectoru_norm(),y)),x)))) -> i(i(a_(),i(i(vectoru_angle(),x),y)),i(realu_ofu_num(),i(NUMERAL(),u_0()))) 83: i(i(b_s_(),i(i(s_b_(),i(i(intu_lt(),i(intu_ofu_num(),i(NUMERAL(),u_0()))),x)),i(i(intu_lt(),i(intu_ofu_num(),i(NUMERAL(),u_0()))),y))),i(i(s_b_(),i(i(intu_lt(),x),i(intu_ofu_num(),i(NUMERAL(),u_0())))),i(i(intu_lt(),y),i(intu_ofu_num(),i(NUMERAL(),u_0()))))) -> i(i(intu_lt(),i(intu_ofu_num(),i(NUMERAL(),u_0()))),i(i(intu_mul(),x),y)) 84: i(i(vectoru_sub(),i(i(r_(),i(det(),i(vector(),i(i(CONS(),w),i(i(CONS(),x),i(i(CONS(),z),NIL())))))),y)),i(i(r_(),i(det(),i(vector(),i(i(CONS(),w),i(i(CONS(),x),i(i(CONS(),y),NIL())))))),z)) -> i(i(cross(),i(i(cross(),w),x)),i(i(cross(),y),z)) 85: i(i(b_s_(),i(i(s_b_(),i(i(realu_lt(),i(drop(),b)),i(drop(),a))),i(i(realu_lt(),i(drop(),d)),i(drop(),c)))),i(i(s_b_(),i(i(a_(),i(drop(),a)),i(drop(),c))),i(i(a_(),i(drop(),b)),i(drop(),d)))) -> i(i(a_(),i(closedu_interval(),i(i(CONS(),i(i(c_(),a),b)),NIL()))),i(closedu_interval(),i(i(CONS(),i(i(c_(),c),d)),NIL()))) 86: i(i(s_b_(),i(i(IN(),x),i(closedu_segment(),i(i(CONS(),i(i(c_(),a),b)),NIL())))),i(i(s_b_(),i(w_(),i(i(a_(),x),a))),i(i(s_b_(),i(w_(),i(i(a_(),x),b))),i(w_(),i(i(a_(),a),b))))) -> i(i(IN(),x),i(openu_segment(),i(i(c_(),a),b))) 87: i(i(i(COND(),i(i(a_(),x),i(NUMERAL(),u_0()))),i(i(a_a_g_(),i(i(a_(),m),i(NUMERAL(),u_0()))),i(i(a_(),n),i(NUMERAL(),u_0())))),i(i(b_s_(),i(i(a_(),x),i(NUMERAL(),i(BIT1(),u_0())))),i(i(l_a_(),m),n))) -> i(i(l_a_(),i(i(EXP(),x),m)),i(i(EXP(),x),n)) 88: i(i(i(COND(),i(i(a_(),x),i(NUMERAL(),u_0()))),i(i(a_(),i(i(a_(),m),i(NUMERAL(),u_0()))),i(i(a_(),n),i(NUMERAL(),u_0())))),i(i(b_s_(),i(i(a_(),x),i(NUMERAL(),i(BIT1(),u_0())))),i(i(a_(),m),n))) -> i(i(a_(),i(i(EXP(),x),m)),i(i(EXP(),x),n)) 89: i(i(b_s_(),i(i(s_b_(),i(w_(),i(i(IN(),x),s0))),i(w_(),i(i(IN(),y),s0)))),i(i(s_b_(),i(i(IN(),x),s0)),i(i(s_b_(),i(i(IN(),y),s0)),i(i(i(connectedu_component(),s0),x),y)))) -> i(i(a_(),i(i(connectedu_component(),s0),x)),i(i(connectedu_component(),s0),y)) 90: i(i(complexu_mul(),i(vectoru_neg(),ii())),i(clog(),i(i(vectoru_add(),z),i(i(complexu_mul(),ii()),i(csqrt(),i(i(vectoru_sub(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(complexu_pow(),z),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0())))))))))) -> i(cacs(),z) 91: i(i(complexu_mul(),i(vectoru_neg(),ii())),i(clog(),i(i(vectoru_add(),i(i(complexu_mul(),ii()),z)),i(csqrt(),i(i(vectoru_sub(),i(Cx(),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(complexu_pow(),z),i(NUMERAL(),i(BIT0(),i(BIT1(),u_0()))))))))) -> i(casn(),z) 92: i(vector(),i(i(CONS(),i(vector(),i(i(CONS(),i(cos(),t)),i(i(CONS(),i(realu_neg(),i(sin(),t))),NIL())))),i(i(CONS(),i(vector(),i(i(CONS(),i(sin(),t)),i(i(CONS(),i(cos(),t)),NIL())))),NIL()))) -> i(matrix(),i(rotate2d(),t)) 93: i(i(realu_mul(),i(i(realu_div(),i(i(realu_add(),i(realu_ofu_num(),p)),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(realu_add(),i(realu_ofu_num(),k)),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))))),i(realu_ofu_num(),i(binom(),i(i(c_(),p),k)))) -> i(realu_ofu_num(),i(binom(),i(i(c_(),i(i(p_(),p),i(NUMERAL(),i(BIT1(),u_0())))),i(i(p_(),k),i(NUMERAL(),i(BIT1(),u_0())))))) 94: i(i(b_s_(),i(i(s_b_(),i(i(a_(),i(realu_abs(),x)),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0()))))),i(i(a_a_g_(),i(i(realu_lt(),x),i(realu_ofu_num(),i(NUMERAL(),u_0())))),i(EVEN(),n)))),i(i(a_(),n),i(NUMERAL(),u_0()))) -> i(i(a_(),i(i(realu_pow(),x),n)),i(realu_ofu_num(),i(NUMERAL(),i(BIT1(),u_0())))) 95: i(i(b_s_(),i(i(a_(),a),b)),i(i(s_b_(),i(i(IN(),a),i(closedu_segment(),i(i(CONS(),i(i(c_(),c),d)),NIL())))),i(i(IN(),b),i(closedu_segment(),i(i(CONS(),i(i(c_(),c),d)),NIL()))))) -> i(i(SUBSET(),i(openu_segment(),i(i(c_(),a),b))),i(openu_segment(),i(i(c_(),c),d))) 96: i(i(b_s_(),i(i(a_(),a),b)),i(i(s_b_(),i(i(IN(),a),i(closedu_segment(),i(i(CONS(),i(i(c_(),c),d)),NIL())))),i(i(IN(),b),i(closedu_segment(),i(i(CONS(),i(i(c_(),c),d)),NIL()))))) -> i(i(SUBSET(),i(openu_segment(),i(i(c_(),a),b))),i(closedu_segment(),i(i(CONS(),i(i(c_(),c),d)),NIL()))) 97: i(i(b_s_(),i(i(s_b_(),i(i(a_(),i(openu_interval(),i(i(c_(),a),b))),EMPTY())),i(i(a_(),i(openu_interval(),i(i(c_(),c),d))),EMPTY()))),i(i(s_b_(),i(i(a_(),a),c)),i(i(a_(),b),d))) -> i(i(a_(),i(openu_interval(),i(i(c_(),a),b))),i(openu_interval(),i(i(c_(),c),d))) 98: i(inside(),i(i(UNION(),i(closedu_segment(),i(i(CONS(),i(i(c_(),a),b)),NIL()))),i(i(UNION(),i(closedu_segment(),i(i(CONS(),i(i(c_(),b),c)),NIL()))),i(closedu_segment(),i(i(CONS(),i(i(c_(),c),a)),NIL()))))) -> i(interior(),i(i(hull(),convex()),i(i(INSERT(),a),i(i(INSERT(),b),i(i(INSERT(),c),EMPTY()))))) popout

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