6.086 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying using # : (* (+ x y) (- 1.0 z)) 0.022 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.024 * * [simplify]: iteration 1 : 26 enodes (cost 3 ) 0.025 * * [simplify]: iteration 2 : 62 enodes (cost 3 ) 0.027 * * [simplify]: iteration 3 : 164 enodes (cost 3 ) 0.030 * * [simplify]: iteration 4 : 320 enodes (cost 3 ) 0.034 * * [simplify]: iteration 5 : 438 enodes (cost 3 ) 0.038 * * [simplify]: iteration 6 : 600 enodes (cost 3 ) 0.044 * * [simplify]: iteration 7 : 831 enodes (cost 3 ) 0.055 * * [simplify]: iteration 8 : 1451 enodes (cost 3 ) 0.067 * * [simplify]: iteration 9 : 2357 enodes (cost 3 ) 0.079 * * [simplify]: iteration 10 : 2545 enodes (cost 3 ) 0.090 * * [simplify]: iteration 11 : 2545 enodes (cost 3 ) 0.091 * [simplify]: Simplified to: (* (+ x y) (- 1.0 z)) 0.091 * * [progress]: iteration 1 / 4 0.091 * * * [progress]: picking best candidate 0.093 * * * * [pick]: Picked # 0.093 * * * [progress]: localizing error 0.098 * * * [progress]: generating rewritten candidates 0.098 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.110 * * * [progress]: generating series expansions 0.110 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.110 * [approximate]: Taking taylor expansion of (* (- 1.0 z) (+ x y)) in (x y z) around 0 0.110 * [taylor]: Taking taylor expansion of (* (- 1.0 z) (+ x y)) in z 0.110 * [taylor]: Taking taylor expansion of (- 1.0 z) in z 0.110 * [taylor]: Taking taylor expansion of 1.0 in z 0.110 * [taylor]: Taking taylor expansion of z in z 0.110 * [taylor]: Taking taylor expansion of (+ x y) in z 0.110 * [taylor]: Taking taylor expansion of x in z 0.110 * [taylor]: Taking taylor expansion of y in z 0.110 * [taylor]: Taking taylor expansion of (* (- 1.0 z) (+ x y)) in y 0.110 * [taylor]: Taking taylor expansion of (- 1.0 z) in y 0.110 * [taylor]: Taking taylor expansion of 1.0 in y 0.110 * [taylor]: Taking taylor expansion of z in y 0.110 * [taylor]: Taking taylor expansion of (+ x y) in y 0.110 * [taylor]: Taking taylor expansion of x in y 0.110 * [taylor]: Taking taylor expansion of y in y 0.110 * [taylor]: Taking taylor expansion of (* (- 1.0 z) (+ x y)) in x 0.110 * [taylor]: Taking taylor expansion of (- 1.0 z) in x 0.110 * [taylor]: Taking taylor expansion of 1.0 in x 0.110 * [taylor]: Taking taylor expansion of z in x 0.110 * [taylor]: Taking taylor expansion of (+ x y) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [taylor]: Taking taylor expansion of (* (- 1.0 z) (+ x y)) in x 0.110 * [taylor]: Taking taylor expansion of (- 1.0 z) in x 0.110 * [taylor]: Taking taylor expansion of 1.0 in x 0.110 * [taylor]: Taking taylor expansion of z in x 0.110 * [taylor]: Taking taylor expansion of (+ x y) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [taylor]: Taking taylor expansion of (* y (- 1.0 z)) in y 0.110 * [taylor]: Taking taylor expansion of y in y 0.110 * [taylor]: Taking taylor expansion of (- 1.0 z) in y 0.111 * [taylor]: Taking taylor expansion of 1.0 in y 0.111 * [taylor]: Taking taylor expansion of z in y 0.111 * [taylor]: Taking taylor expansion of 0 in z 0.112 * [taylor]: Taking taylor expansion of (- 1.0 z) in y 0.112 * [taylor]: Taking taylor expansion of 1.0 in y 0.112 * [taylor]: Taking taylor expansion of z in y 0.112 * [taylor]: Taking taylor expansion of (- 1.0 z) in z 0.112 * [taylor]: Taking taylor expansion of 1.0 in z 0.112 * [taylor]: Taking taylor expansion of z in z 0.113 * [taylor]: Taking taylor expansion of (- 1.0 z) in z 0.113 * [taylor]: Taking taylor expansion of 1.0 in z 0.113 * [taylor]: Taking taylor expansion of z in z 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [taylor]: Taking taylor expansion of 0 in z 0.115 * [taylor]: Taking taylor expansion of 0 in z 0.116 * [taylor]: Taking taylor expansion of 0 in z 0.117 * [approximate]: Taking taylor expansion of (* (- 1.0 (/ 1 z)) (+ (/ 1 y) (/ 1 x))) in (x y z) around 0 0.117 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 z)) (+ (/ 1 y) (/ 1 x))) in z 0.117 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 0.117 * [taylor]: Taking taylor expansion of 1.0 in z 0.117 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.117 * [taylor]: Taking taylor expansion of z in z 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in z 0.117 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.117 * [taylor]: Taking taylor expansion of y in z 0.117 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.117 * [taylor]: Taking taylor expansion of x in z 0.118 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 z)) (+ (/ 1 y) (/ 1 x))) in y 0.118 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in y 0.118 * [taylor]: Taking taylor expansion of 1.0 in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.118 * [taylor]: Taking taylor expansion of z in y 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.118 * [taylor]: Taking taylor expansion of x in y 0.118 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 z)) (+ (/ 1 y) (/ 1 x))) in x 0.118 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in x 0.118 * [taylor]: Taking taylor expansion of 1.0 in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.118 * [taylor]: Taking taylor expansion of z in x 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.118 * [taylor]: Taking taylor expansion of y in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 z)) (+ (/ 1 y) (/ 1 x))) in x 0.118 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in x 0.118 * [taylor]: Taking taylor expansion of 1.0 in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.119 * [taylor]: Taking taylor expansion of z in x 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.119 * [taylor]: Taking taylor expansion of y in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in y 0.119 * [taylor]: Taking taylor expansion of 1.0 in y 0.119 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.119 * [taylor]: Taking taylor expansion of z in y 0.121 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y)) (/ 1 (* z y))) in y 0.121 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.121 * [taylor]: Taking taylor expansion of 1.0 in y 0.121 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.121 * [taylor]: Taking taylor expansion of y in y 0.121 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.121 * [taylor]: Taking taylor expansion of (* z y) in y 0.121 * [taylor]: Taking taylor expansion of z in y 0.121 * [taylor]: Taking taylor expansion of y in y 0.122 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 0.122 * [taylor]: Taking taylor expansion of 1.0 in z 0.122 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.122 * [taylor]: Taking taylor expansion of z in z 0.123 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 0.123 * [taylor]: Taking taylor expansion of 1.0 in z 0.123 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.123 * [taylor]: Taking taylor expansion of z in z 0.125 * [taylor]: Taking taylor expansion of 0 in y 0.127 * [taylor]: Taking taylor expansion of 0 in z 0.127 * [taylor]: Taking taylor expansion of 0 in z 0.129 * [approximate]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 z) 1.0))) in (x y z) around 0 0.129 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 z) 1.0))) in z 0.129 * [taylor]: Taking taylor expansion of -1 in z 0.129 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 z) 1.0)) in z 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in z 0.129 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.129 * [taylor]: Taking taylor expansion of y in z 0.129 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.129 * [taylor]: Taking taylor expansion of x in z 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 0.129 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.129 * [taylor]: Taking taylor expansion of z in z 0.130 * [taylor]: Taking taylor expansion of 1.0 in z 0.130 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 z) 1.0))) in y 0.130 * [taylor]: Taking taylor expansion of -1 in y 0.130 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 z) 1.0)) in y 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.130 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.130 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.130 * [taylor]: Taking taylor expansion of x in y 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in y 0.130 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.130 * [taylor]: Taking taylor expansion of z in y 0.130 * [taylor]: Taking taylor expansion of 1.0 in y 0.130 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 z) 1.0))) in x 0.130 * [taylor]: Taking taylor expansion of -1 in x 0.130 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 z) 1.0)) in x 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.130 * [taylor]: Taking taylor expansion of y in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.131 * [taylor]: Taking taylor expansion of z in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 z) 1.0))) in x 0.131 * [taylor]: Taking taylor expansion of -1 in x 0.131 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 z) 1.0)) in x 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.131 * [taylor]: Taking taylor expansion of y in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.131 * [taylor]: Taking taylor expansion of z in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.132 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 z) 1.0)) in y 0.132 * [taylor]: Taking taylor expansion of -1 in y 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.132 * [taylor]: Taking taylor expansion of z in y 0.132 * [taylor]: Taking taylor expansion of 1.0 in y 0.133 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* z y)) (* 1.0 (/ 1 y)))) in y 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (* z y)) (* 1.0 (/ 1 y))) in y 0.133 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.133 * [taylor]: Taking taylor expansion of (* z y) in y 0.133 * [taylor]: Taking taylor expansion of z in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.133 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.133 * [taylor]: Taking taylor expansion of 1.0 in y 0.133 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.134 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) 1.0)) in z 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 0.134 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.134 * [taylor]: Taking taylor expansion of z in z 0.134 * [taylor]: Taking taylor expansion of 1.0 in z 0.135 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 z) 1.0)) in z 0.135 * [taylor]: Taking taylor expansion of -1 in z 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 0.135 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.135 * [taylor]: Taking taylor expansion of z in z 0.135 * [taylor]: Taking taylor expansion of 1.0 in z 0.138 * [taylor]: Taking taylor expansion of 0 in y 0.139 * [taylor]: Taking taylor expansion of 0 in z 0.140 * [taylor]: Taking taylor expansion of 0 in z 0.142 * * * [progress]: simplifying candidates 0.143 * [simplify]: Simplifying using # : (expm1 (* (+ x y) (- 1.0 z))) (log1p (* (+ x y) (- 1.0 z))) (* (+ x y) (- 1.0 z)) (+ (log (+ x y)) (log (- 1.0 z))) (log (* (+ x y) (- 1.0 z))) (exp (* (+ x y) (- 1.0 z))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (- 1.0 z) (- 1.0 z)) (- 1.0 z))) (* (cbrt (* (+ x y) (- 1.0 z))) (cbrt (* (+ x y) (- 1.0 z)))) (cbrt (* (+ x y) (- 1.0 z))) (* (* (* (+ x y) (- 1.0 z)) (* (+ x y) (- 1.0 z))) (* (+ x y) (- 1.0 z))) (sqrt (* (+ x y) (- 1.0 z))) (sqrt (* (+ x y) (- 1.0 z))) (* (+ (pow x 3) (pow y 3)) (- (pow 1.0 3) (pow z 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* 1.0 1.0) (+ (* z z) (* 1.0 z)))) (* (+ (pow x 3) (pow y 3)) (- (* 1.0 1.0) (* z z))) (* (+ (* x x) (- (* y y) (* x y))) (+ 1.0 z)) (* (- (* x x) (* y y)) (- (pow 1.0 3) (pow z 3))) (* (- x y) (+ (* 1.0 1.0) (+ (* z z) (* 1.0 z)))) (* (- (* x x) (* y y)) (- (* 1.0 1.0) (* z z))) (* (- x y) (+ 1.0 z)) (* (sqrt (+ x y)) (sqrt (- 1.0 z))) (* (sqrt (+ x y)) (sqrt (- 1.0 z))) (* (+ x y) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z)))))) (* (+ x y) (fma (- (cbrt z)) (* (cbrt z) (cbrt z)) (* (cbrt z) (* (cbrt z) (cbrt z))))) (* (+ x y) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt z) (sqrt z))))) (* (+ x y) (fma (- (sqrt z)) (sqrt z) (* (sqrt z) (sqrt z)))) (* (+ x y) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* z 1)))) (* (+ x y) (fma (- z) 1 (* z 1))) (* (+ x y) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z)))))) (* (+ x y) (fma (- (cbrt z)) (* (cbrt z) (cbrt z)) (* (cbrt z) (* (cbrt z) (cbrt z))))) (* (+ x y) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt z) (sqrt z))))) (* (+ x y) (fma (- (sqrt z)) (sqrt z) (* (sqrt z) (sqrt z)))) (* (+ x y) (fma (sqrt 1.0) (sqrt 1.0) (- (* z 1)))) (* (+ x y) (fma (- z) 1 (* z 1))) (* (+ x y) (fma 1 1.0 (- (* (cbrt z) (* (cbrt z) (cbrt z)))))) (* (+ x y) (fma (- (cbrt z)) (* (cbrt z) (cbrt z)) (* (cbrt z) (* (cbrt z) (cbrt z))))) (* (+ x y) (fma 1 1.0 (- (* (sqrt z) (sqrt z))))) (* (+ x y) (fma (- (sqrt z)) (sqrt z) (* (sqrt z) (sqrt z)))) (* (+ x y) (fma 1 1.0 (- (* z 1)))) (* (+ x y) (fma (- z) 1 (* z 1))) (* (+ x y) 1.0) (* (+ x y) (- z)) (* (+ x y) 1.0) (* (+ x y) (- z)) (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (+ x y)) (* (fma (- (cbrt z)) (* (cbrt z) (cbrt z)) (* (cbrt z) (* (cbrt z) (cbrt z)))) (+ x y)) (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt z) (sqrt z)))) (+ x y)) (* (fma (- (sqrt z)) (sqrt z) (* (sqrt z) (sqrt z))) (+ x y)) (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* z 1))) (+ x y)) (* (fma (- z) 1 (* z 1)) (+ x y)) (* (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (+ x y)) (* (fma (- (cbrt z)) (* (cbrt z) (cbrt z)) (* (cbrt z) (* (cbrt z) (cbrt z)))) (+ x y)) (* (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt z) (sqrt z)))) (+ x y)) (* (fma (- (sqrt z)) (sqrt z) (* (sqrt z) (sqrt z))) (+ x y)) (* (fma (sqrt 1.0) (sqrt 1.0) (- (* z 1))) (+ x y)) (* (fma (- z) 1 (* z 1)) (+ x y)) (* (fma 1 1.0 (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (+ x y)) (* (fma (- (cbrt z)) (* (cbrt z) (cbrt z)) (* (cbrt z) (* (cbrt z) (cbrt z)))) (+ x y)) (* (fma 1 1.0 (- (* (sqrt z) (sqrt z)))) (+ x y)) (* (fma (- (sqrt z)) (sqrt z) (* (sqrt z) (sqrt z))) (+ x y)) (* (fma 1 1.0 (- (* z 1))) (+ x y)) (* (fma (- z) 1 (* z 1)) (+ x y)) (* 1.0 (+ x y)) (* (- z) (+ x y)) (* 1.0 (+ x y)) (* (- z) (+ x y)) (* (+ x y) (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (* (+ x y) (sqrt (- 1.0 z))) (* (+ x y) 1) (* (+ x y) (+ (sqrt 1.0) (sqrt z))) (* (+ x y) 1) (* (cbrt (+ x y)) (- 1.0 z)) (* (sqrt (+ x y)) (- 1.0 z)) (* (+ x y) (- 1.0 z)) (* (+ x y) (- 1.0 z)) (* (+ x y) (- (pow 1.0 3) (pow z 3))) (* (+ x y) (- (* 1.0 1.0) (* z z))) (* (+ (pow x 3) (pow y 3)) (- 1.0 z)) (* (- (* x x) (* y y)) (- 1.0 z)) (- (+ (* 1.0 x) (* 1.0 y)) (* x z)) (- (* 1.0 y) (+ (* x z) (* z y))) (- (* 1.0 y) (+ (* x z) (* z y))) 0.148 * * [simplify]: iteration 0 : 397 enodes (cost 499 ) 0.155 * * [simplify]: iteration 1 : 1589 enodes (cost 357 ) 0.183 * * [simplify]: iteration 2 : 5001 enodes (cost 356 ) 0.186 * [simplify]: Simplified to: (expm1 (* (+ x y) (- 1.0 z))) (log1p (* (+ x y) (- 1.0 z))) (* (+ x y) (- 1.0 z)) (log (* (+ x y) (- 1.0 z))) (log (* (+ x y) (- 1.0 z))) (exp (* (+ x y) (- 1.0 z))) (pow (* (+ x y) (- 1.0 z)) 3) (* (cbrt (* (+ x y) (- 1.0 z))) (cbrt (* (+ x y) (- 1.0 z)))) (cbrt (* (+ x y) (- 1.0 z))) (pow (* (+ x y) (- 1.0 z)) 3) (sqrt (* (+ x y) (- 1.0 z))) (sqrt (* (+ x y) (- 1.0 z))) (* (+ (pow x 3) (pow y 3)) (- (pow 1.0 3) (pow z 3))) (* (fma 1.0 1.0 (fma z z (* 1.0 z))) (fma x x (- (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* 1.0 1.0) (* z z))) (* (fma y (- y x) (* x x)) (+ 1.0 z)) (* (- (* x x) (* y y)) (- (pow 1.0 3) (pow z 3))) (* (fma 1.0 1.0 (fma z z (* 1.0 z))) (- x y)) (* (- (* x x) (* y y)) (- (* 1.0 1.0) (* z z))) (* (- x y) (+ 1.0 z)) (* (sqrt (+ x y)) (sqrt (- 1.0 z))) (* (sqrt (+ x y)) (sqrt (- 1.0 z))) (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* z 1))) (+ x y)) (* (fma (- z) 1 z) (+ x y)) (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* z 1))) (+ x y)) (* (fma (- z) 1 z) (+ x y)) (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* z 1))) (+ x y)) (* (fma (- z) 1 z) (+ x y)) (* (+ x y) (- 1.0 z)) (* (fma (- z) 1 z) (+ x y)) (* (+ x y) (- 1.0 z)) (* (fma (- z) 1 z) (+ x y)) (* (+ x y) (- 1.0 z)) (* (fma (- z) 1 z) (+ x y)) (* (+ x y) (- 1.0 z)) (* (fma (- z) 1 z) (+ x y)) (* (+ x y) (- 1.0 z)) (* (fma (- z) 1 z) (+ x y)) (* (+ x y) (- 1.0 z)) (* (fma (- z) 1 z) (+ x y)) (fma 1.0 x (* 1.0 y)) (* (- z) (+ x y)) (fma 1.0 x (* 1.0 y)) (* (- z) (+ x y)) (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* z 1))) (+ x y)) (* (fma (- z) 1 z) (+ x y)) (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* z 1))) (+ x y)) (* (fma (- z) 1 z) (+ x y)) (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* z 1))) (+ x y)) (* (fma (- z) 1 z) (+ x y)) (* (+ x y) (- 1.0 z)) (* (fma (- z) 1 z) (+ x y)) (* (+ x y) (- 1.0 z)) (* (fma (- z) 1 z) (+ x y)) (* (+ x y) (- 1.0 z)) (* (fma (- z) 1 z) (+ x y)) (* (+ x y) (- 1.0 z)) (* (fma (- z) 1 z) (+ x y)) (* (+ x y) (- 1.0 z)) (* (fma (- z) 1 z) (+ x y)) (* (+ x y) (- 1.0 z)) (* (fma (- z) 1 z) (+ x y)) (fma 1.0 x (* 1.0 y)) (* (- z) (+ x y)) (fma 1.0 x (* 1.0 y)) (* (- z) (+ x y)) (* (+ x y) (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (* (+ x y) (sqrt (- 1.0 z))) (+ x y) (* (+ x y) (+ (sqrt 1.0) (sqrt z))) (+ x y) (* (cbrt (+ x y)) (- 1.0 z)) (* (sqrt (+ x y)) (- 1.0 z)) (* (+ x y) (- 1.0 z)) (* (+ x y) (- 1.0 z)) (* (+ x y) (- (pow 1.0 3) (pow z 3))) (* (+ x y) (- (* 1.0 1.0) (* z z))) (* (+ (pow x 3) (pow y 3)) (- 1.0 z)) (* (- (* x x) (* y y)) (- 1.0 z)) (fma y 1.0 (* (- 1.0 z) x)) (fma 1.0 y (- (fma x z (* z y)))) (fma 1.0 y (- (fma x z (* z y)))) 0.186 * * * [progress]: adding candidates to table 0.257 * * [progress]: iteration 2 / 4 0.257 * * * [progress]: picking best candidate 0.260 * * * * [pick]: Picked # 0.261 * * * [progress]: localizing error 0.269 * * * [progress]: generating rewritten candidates 0.269 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.277 * * * [progress]: generating series expansions 0.277 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.277 * [approximate]: Taking taylor expansion of (* -1 (* z (+ x y))) in (z x y) around 0 0.277 * [taylor]: Taking taylor expansion of (* -1 (* z (+ x y))) in y 0.277 * [taylor]: Taking taylor expansion of -1 in y 0.277 * [taylor]: Taking taylor expansion of (* z (+ x y)) in y 0.277 * [taylor]: Taking taylor expansion of z in y 0.277 * [taylor]: Taking taylor expansion of (+ x y) in y 0.277 * [taylor]: Taking taylor expansion of x in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of (* -1 (* z (+ x y))) in x 0.277 * [taylor]: Taking taylor expansion of -1 in x 0.277 * [taylor]: Taking taylor expansion of (* z (+ x y)) in x 0.277 * [taylor]: Taking taylor expansion of z in x 0.277 * [taylor]: Taking taylor expansion of (+ x y) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.277 * [taylor]: Taking taylor expansion of (* -1 (* z (+ x y))) in z 0.277 * [taylor]: Taking taylor expansion of -1 in z 0.277 * [taylor]: Taking taylor expansion of (* z (+ x y)) in z 0.277 * [taylor]: Taking taylor expansion of z in z 0.277 * [taylor]: Taking taylor expansion of (+ x y) in z 0.277 * [taylor]: Taking taylor expansion of x in z 0.277 * [taylor]: Taking taylor expansion of y in z 0.277 * [taylor]: Taking taylor expansion of (* -1 (* z (+ x y))) in z 0.277 * [taylor]: Taking taylor expansion of -1 in z 0.277 * [taylor]: Taking taylor expansion of (* z (+ x y)) in z 0.277 * [taylor]: Taking taylor expansion of z in z 0.277 * [taylor]: Taking taylor expansion of (+ x y) in z 0.277 * [taylor]: Taking taylor expansion of x in z 0.277 * [taylor]: Taking taylor expansion of y in z 0.278 * [taylor]: Taking taylor expansion of 0 in x 0.278 * [taylor]: Taking taylor expansion of 0 in y 0.279 * [taylor]: Taking taylor expansion of (- (+ x y)) in x 0.279 * [taylor]: Taking taylor expansion of (+ x y) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.279 * [taylor]: Taking taylor expansion of (- y) in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of 0 in y 0.280 * [taylor]: Taking taylor expansion of 0 in x 0.280 * [taylor]: Taking taylor expansion of 0 in y 0.281 * [taylor]: Taking taylor expansion of -1 in y 0.281 * [taylor]: Taking taylor expansion of 0 in y 0.283 * [taylor]: Taking taylor expansion of 0 in x 0.283 * [taylor]: Taking taylor expansion of 0 in y 0.283 * [taylor]: Taking taylor expansion of 0 in y 0.284 * [taylor]: Taking taylor expansion of 0 in y 0.284 * [taylor]: Taking taylor expansion of 0 in y 0.284 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) z)) in (z x y) around 0 0.284 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) z)) in y 0.284 * [taylor]: Taking taylor expansion of -1 in y 0.284 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) z) in y 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.284 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.284 * [taylor]: Taking taylor expansion of x in y 0.285 * [taylor]: Taking taylor expansion of z in y 0.285 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) z)) in x 0.285 * [taylor]: Taking taylor expansion of -1 in x 0.285 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) z) in x 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.285 * [taylor]: Taking taylor expansion of y in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of z in x 0.286 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) z)) in z 0.286 * [taylor]: Taking taylor expansion of -1 in z 0.286 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) z) in z 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in z 0.286 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.286 * [taylor]: Taking taylor expansion of y in z 0.286 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.286 * [taylor]: Taking taylor expansion of x in z 0.286 * [taylor]: Taking taylor expansion of z in z 0.286 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) z)) in z 0.286 * [taylor]: Taking taylor expansion of -1 in z 0.286 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) z) in z 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in z 0.286 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.286 * [taylor]: Taking taylor expansion of y in z 0.286 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.286 * [taylor]: Taking taylor expansion of x in z 0.286 * [taylor]: Taking taylor expansion of z in z 0.286 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 y) (/ 1 x))) in x 0.286 * [taylor]: Taking taylor expansion of -1 in x 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.286 * [taylor]: Taking taylor expansion of y in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of -1 in y 0.288 * [taylor]: Taking taylor expansion of 0 in x 0.289 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.289 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.289 * [taylor]: Taking taylor expansion of y in y 0.292 * [taylor]: Taking taylor expansion of 0 in x 0.292 * [taylor]: Taking taylor expansion of 0 in y 0.293 * [taylor]: Taking taylor expansion of 0 in y 0.296 * [taylor]: Taking taylor expansion of 0 in x 0.296 * [taylor]: Taking taylor expansion of 0 in y 0.296 * [taylor]: Taking taylor expansion of 0 in y 0.298 * [taylor]: Taking taylor expansion of 0 in y 0.299 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) z)) in (z x y) around 0 0.299 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) z)) in y 0.299 * [taylor]: Taking taylor expansion of -1 in y 0.299 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) z) in y 0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.299 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.299 * [taylor]: Taking taylor expansion of y in y 0.299 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.299 * [taylor]: Taking taylor expansion of x in y 0.299 * [taylor]: Taking taylor expansion of z in y 0.300 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) z)) in x 0.300 * [taylor]: Taking taylor expansion of -1 in x 0.300 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) z) in x 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.300 * [taylor]: Taking taylor expansion of y in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of z in x 0.300 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) z)) in z 0.300 * [taylor]: Taking taylor expansion of -1 in z 0.300 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) z) in z 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in z 0.301 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.301 * [taylor]: Taking taylor expansion of y in z 0.301 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.301 * [taylor]: Taking taylor expansion of x in z 0.301 * [taylor]: Taking taylor expansion of z in z 0.301 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) z)) in z 0.301 * [taylor]: Taking taylor expansion of -1 in z 0.301 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) z) in z 0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in z 0.301 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.301 * [taylor]: Taking taylor expansion of y in z 0.301 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.301 * [taylor]: Taking taylor expansion of x in z 0.301 * [taylor]: Taking taylor expansion of z in z 0.301 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 y) (/ 1 x))) in x 0.301 * [taylor]: Taking taylor expansion of -1 in x 0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.301 * [taylor]: Taking taylor expansion of y in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of -1 in y 0.303 * [taylor]: Taking taylor expansion of 0 in x 0.304 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.304 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.304 * [taylor]: Taking taylor expansion of y in y 0.307 * [taylor]: Taking taylor expansion of 0 in x 0.307 * [taylor]: Taking taylor expansion of 0 in y 0.308 * [taylor]: Taking taylor expansion of 0 in y 0.311 * [taylor]: Taking taylor expansion of 0 in x 0.311 * [taylor]: Taking taylor expansion of 0 in y 0.311 * [taylor]: Taking taylor expansion of 0 in y 0.313 * [taylor]: Taking taylor expansion of 0 in y 0.314 * * * [progress]: simplifying candidates 0.314 * [simplify]: Simplifying using # : (expm1 (* (- z) (+ x y))) (log1p (* (- z) (+ x y))) (* (- z) (+ x y)) (+ (log (- z)) (log (+ x y))) (log (* (- z) (+ x y))) (exp (* (- z) (+ x y))) (* (* (* (- z) (- z)) (- z)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (- z) (+ x y))) (cbrt (* (- z) (+ x y)))) (cbrt (* (- z) (+ x y))) (* (* (* (- z) (+ x y)) (* (- z) (+ x y))) (* (- z) (+ x y))) (sqrt (* (- z) (+ x y))) (sqrt (* (- z) (+ x y))) (* (sqrt (- z)) (sqrt (+ x y))) (* (sqrt (- z)) (sqrt (+ x y))) (* z (+ x y)) (* (- z) x) (* (- z) y) (* x (- z)) (* y (- z)) (* (- z) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (- z) (sqrt (+ x y))) (* (- z) 1) (* (- z) 1) (* (cbrt (- z)) (+ x y)) (* (sqrt (- z)) (+ x y)) (* (- z) (+ x y)) (* z (+ x y)) (* (cbrt z) (+ x y)) (* (sqrt z) (+ x y)) (* z (+ x y)) (* (- (cbrt z)) (+ x y)) (* (- (sqrt z)) (+ x y)) (* (- z) (+ x y)) (* (- z) (+ (pow x 3) (pow y 3))) (* (- z) (- (* x x) (* y y))) (- (+ (* x z) (* z y))) (- (+ (* x z) (* z y))) (- (+ (* x z) (* z y))) 0.318 * * [simplify]: iteration 0 : 201 enodes (cost 146 ) 0.322 * * [simplify]: iteration 1 : 821 enodes (cost 136 ) 0.339 * * [simplify]: iteration 2 : 3814 enodes (cost 136 ) 0.408 * * [simplify]: iteration 3 : 5002 enodes (cost 136 ) 0.409 * [simplify]: Simplified to: (expm1 (* (- z) (+ x y))) (log1p (* (- z) (+ x y))) (* (- z) (+ x y)) (log (* (- z) (+ x y))) (log (* (- z) (+ x y))) (exp (* (- z) (+ x y))) (pow (* (- z) (+ x y)) 3) (* (cbrt (* (- z) (+ x y))) (cbrt (* (- z) (+ x y)))) (cbrt (* (- z) (+ x y))) (pow (* (- z) (+ x y)) 3) (sqrt (* (- z) (+ x y))) (sqrt (* (- z) (+ x y))) (* (sqrt (- z)) (sqrt (+ x y))) (* (sqrt (- z)) (sqrt (+ x y))) (* z (+ x y)) (* (- z) x) (* (- z) y) (* (- z) x) (* (- z) y) (* (- z) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (- z) (sqrt (+ x y))) (- z) (- z) (* (cbrt (- z)) (+ x y)) (* (sqrt (- z)) (+ x y)) (* (- z) (+ x y)) (* z (+ x y)) (* (cbrt z) (+ x y)) (* (sqrt z) (+ x y)) (* z (+ x y)) (* (- (cbrt z)) (+ x y)) (* (- (sqrt z)) (+ x y)) (* (- z) (+ x y)) (* (- z) (+ (pow x 3) (pow y 3))) (* (- z) (- (* x x) (* y y))) (* (- z) (+ x y)) (* (- z) (+ x y)) (* (- z) (+ x y)) 0.409 * * * [progress]: adding candidates to table 0.469 * * [progress]: iteration 3 / 4 0.469 * * * [progress]: picking best candidate 0.471 * * * * [pick]: Picked # 0.471 * * * [progress]: localizing error 0.479 * * * [progress]: generating rewritten candidates 0.479 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.480 * * * [progress]: generating series expansions 0.480 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.480 * [approximate]: Taking taylor expansion of (fma 1.0 y (- (fma x z (* z y)))) in (y x z) around 0 0.480 * [taylor]: Taking taylor expansion of (fma 1.0 y (- (fma x z (* z y)))) in z 0.480 * [taylor]: Rewrote expression to (+ (* 1.0 y) (- (fma x z (* z y)))) 0.480 * [taylor]: Taking taylor expansion of (* 1.0 y) in z 0.480 * [taylor]: Taking taylor expansion of 1.0 in z 0.480 * [taylor]: Taking taylor expansion of y in z 0.480 * [taylor]: Taking taylor expansion of (- (fma x z (* z y))) in z 0.480 * [taylor]: Taking taylor expansion of (fma x z (* z y)) in z 0.480 * [taylor]: Rewrote expression to (+ (* x z) (* z y)) 0.480 * [taylor]: Taking taylor expansion of (* x z) in z 0.480 * [taylor]: Taking taylor expansion of x in z 0.480 * [taylor]: Taking taylor expansion of z in z 0.480 * [taylor]: Taking taylor expansion of (* z y) in z 0.480 * [taylor]: Taking taylor expansion of z in z 0.480 * [taylor]: Taking taylor expansion of y in z 0.480 * [taylor]: Taking taylor expansion of (fma 1.0 y (- (fma x z (* z y)))) in x 0.480 * [taylor]: Rewrote expression to (+ (* 1.0 y) (- (fma x z (* z y)))) 0.480 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 0.480 * [taylor]: Taking taylor expansion of 1.0 in x 0.480 * [taylor]: Taking taylor expansion of y in x 0.481 * [taylor]: Taking taylor expansion of (- (fma x z (* z y))) in x 0.481 * [taylor]: Taking taylor expansion of (fma x z (* z y)) in x 0.481 * [taylor]: Rewrote expression to (+ (* x z) (* z y)) 0.481 * [taylor]: Taking taylor expansion of (* x z) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of z in x 0.481 * [taylor]: Taking taylor expansion of (* z y) in x 0.481 * [taylor]: Taking taylor expansion of z in x 0.481 * [taylor]: Taking taylor expansion of y in x 0.481 * [taylor]: Taking taylor expansion of (fma 1.0 y (- (fma x z (* z y)))) in y 0.481 * [taylor]: Rewrote expression to (+ (* 1.0 y) (- (fma x z (* z y)))) 0.481 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.481 * [taylor]: Taking taylor expansion of 1.0 in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.481 * [taylor]: Taking taylor expansion of (- (fma x z (* z y))) in y 0.481 * [taylor]: Taking taylor expansion of (fma x z (* z y)) in y 0.481 * [taylor]: Rewrote expression to (+ (* x z) (* z y)) 0.481 * [taylor]: Taking taylor expansion of (* x z) in y 0.481 * [taylor]: Taking taylor expansion of x in y 0.481 * [taylor]: Taking taylor expansion of z in y 0.481 * [taylor]: Taking taylor expansion of (* z y) in y 0.481 * [taylor]: Taking taylor expansion of z in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.481 * [taylor]: Taking taylor expansion of (fma 1.0 y (- (fma x z (* z y)))) in y 0.481 * [taylor]: Rewrote expression to (+ (* 1.0 y) (- (fma x z (* z y)))) 0.481 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.481 * [taylor]: Taking taylor expansion of 1.0 in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.481 * [taylor]: Taking taylor expansion of (- (fma x z (* z y))) in y 0.481 * [taylor]: Taking taylor expansion of (fma x z (* z y)) in y 0.481 * [taylor]: Rewrote expression to (+ (* x z) (* z y)) 0.481 * [taylor]: Taking taylor expansion of (* x z) in y 0.481 * [taylor]: Taking taylor expansion of x in y 0.481 * [taylor]: Taking taylor expansion of z in y 0.481 * [taylor]: Taking taylor expansion of (* z y) in y 0.481 * [taylor]: Taking taylor expansion of z in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.482 * [taylor]: Taking taylor expansion of (- (* x z)) in x 0.482 * [taylor]: Taking taylor expansion of (* x z) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of z in x 0.482 * [taylor]: Taking taylor expansion of 0 in z 0.484 * [taylor]: Taking taylor expansion of (- 1.0 z) in x 0.484 * [taylor]: Taking taylor expansion of 1.0 in x 0.484 * [taylor]: Taking taylor expansion of z in x 0.484 * [taylor]: Taking taylor expansion of (- 1.0 z) in z 0.484 * [taylor]: Taking taylor expansion of 1.0 in z 0.484 * [taylor]: Taking taylor expansion of z in z 0.487 * [taylor]: Taking taylor expansion of (- z) in z 0.487 * [taylor]: Taking taylor expansion of z in z 0.490 * [taylor]: Taking taylor expansion of 0 in x 0.490 * [taylor]: Taking taylor expansion of 0 in z 0.490 * [taylor]: Taking taylor expansion of 0 in z 0.491 * [taylor]: Taking taylor expansion of 0 in z 0.492 * [approximate]: Taking taylor expansion of (fma 1.0 (/ 1 y) (- (fma (/ 1 x) (/ 1 z) (/ 1 (* z y))))) in (y x z) around 0 0.492 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 y) (- (fma (/ 1 x) (/ 1 z) (/ 1 (* z y))))) in z 0.492 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 y)) (- (fma (/ 1 x) (/ 1 z) (/ 1 (* z y))))) 0.492 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in z 0.492 * [taylor]: Taking taylor expansion of 1.0 in z 0.492 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.492 * [taylor]: Taking taylor expansion of y in z 0.492 * [taylor]: Taking taylor expansion of (- (fma (/ 1 x) (/ 1 z) (/ 1 (* z y)))) in z 0.492 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 z) (/ 1 (* z y))) in z 0.493 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 z)) (/ 1 (* z y))) 0.493 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 z)) in z 0.493 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.493 * [taylor]: Taking taylor expansion of x in z 0.493 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.493 * [taylor]: Taking taylor expansion of z in z 0.493 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in z 0.493 * [taylor]: Taking taylor expansion of (* z y) in z 0.493 * [taylor]: Taking taylor expansion of z in z 0.493 * [taylor]: Taking taylor expansion of y in z 0.493 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 y) (- (fma (/ 1 x) (/ 1 z) (/ 1 (* z y))))) in x 0.493 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 y)) (- (fma (/ 1 x) (/ 1 z) (/ 1 (* z y))))) 0.493 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.493 * [taylor]: Taking taylor expansion of 1.0 in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.493 * [taylor]: Taking taylor expansion of y in x 0.493 * [taylor]: Taking taylor expansion of (- (fma (/ 1 x) (/ 1 z) (/ 1 (* z y)))) in x 0.494 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 z) (/ 1 (* z y))) in x 0.494 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 z)) (/ 1 (* z y))) 0.494 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 z)) in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.494 * [taylor]: Taking taylor expansion of z in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in x 0.494 * [taylor]: Taking taylor expansion of (* z y) in x 0.494 * [taylor]: Taking taylor expansion of z in x 0.494 * [taylor]: Taking taylor expansion of y in x 0.494 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 y) (- (fma (/ 1 x) (/ 1 z) (/ 1 (* z y))))) in y 0.494 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 y)) (- (fma (/ 1 x) (/ 1 z) (/ 1 (* z y))))) 0.494 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.494 * [taylor]: Taking taylor expansion of 1.0 in y 0.494 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.494 * [taylor]: Taking taylor expansion of y in y 0.495 * [taylor]: Taking taylor expansion of (- (fma (/ 1 x) (/ 1 z) (/ 1 (* z y)))) in y 0.495 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 z) (/ 1 (* z y))) in y 0.495 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 z)) (/ 1 (* z y))) 0.495 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 z)) in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.495 * [taylor]: Taking taylor expansion of x in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.495 * [taylor]: Taking taylor expansion of z in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.495 * [taylor]: Taking taylor expansion of (* z y) in y 0.495 * [taylor]: Taking taylor expansion of z in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.495 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 y) (- (fma (/ 1 x) (/ 1 z) (/ 1 (* z y))))) in y 0.495 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 y)) (- (fma (/ 1 x) (/ 1 z) (/ 1 (* z y))))) 0.495 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.495 * [taylor]: Taking taylor expansion of 1.0 in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.496 * [taylor]: Taking taylor expansion of (- (fma (/ 1 x) (/ 1 z) (/ 1 (* z y)))) in y 0.496 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 z) (/ 1 (* z y))) in y 0.496 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 z)) (/ 1 (* z y))) 0.496 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 z)) in y 0.496 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.496 * [taylor]: Taking taylor expansion of x in y 0.496 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.496 * [taylor]: Taking taylor expansion of z in y 0.496 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.496 * [taylor]: Taking taylor expansion of (* z y) in y 0.496 * [taylor]: Taking taylor expansion of z in y 0.496 * [taylor]: Taking taylor expansion of y in y 0.497 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in x 0.497 * [taylor]: Taking taylor expansion of 1.0 in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.497 * [taylor]: Taking taylor expansion of z in x 0.498 * [taylor]: Taking taylor expansion of (- (/ 1 (* x z))) in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 (* x z)) in x 0.498 * [taylor]: Taking taylor expansion of (* x z) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of z in x 0.499 * [taylor]: Taking taylor expansion of (- (/ 1 z)) in z 0.499 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.499 * [taylor]: Taking taylor expansion of z in z 0.499 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 0.499 * [taylor]: Taking taylor expansion of 1.0 in z 0.499 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.499 * [taylor]: Taking taylor expansion of z in z 0.503 * [taylor]: Taking taylor expansion of 0 in x 0.503 * [taylor]: Taking taylor expansion of 0 in z 0.504 * [taylor]: Taking taylor expansion of 0 in z 0.506 * [approximate]: Taking taylor expansion of (fma 1.0 (/ -1 y) (- (fma (/ -1 x) (/ -1 z) (/ 1 (* z y))))) in (y x z) around 0 0.506 * [taylor]: Taking taylor expansion of (fma 1.0 (/ -1 y) (- (fma (/ -1 x) (/ -1 z) (/ 1 (* z y))))) in z 0.506 * [taylor]: Rewrote expression to (+ (* 1.0 (/ -1 y)) (- (fma (/ -1 x) (/ -1 z) (/ 1 (* z y))))) 0.506 * [taylor]: Taking taylor expansion of (* 1.0 (/ -1 y)) in z 0.506 * [taylor]: Taking taylor expansion of 1.0 in z 0.506 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.506 * [taylor]: Taking taylor expansion of -1 in z 0.506 * [taylor]: Taking taylor expansion of y in z 0.506 * [taylor]: Taking taylor expansion of (- (fma (/ -1 x) (/ -1 z) (/ 1 (* z y)))) in z 0.507 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 z) (/ 1 (* z y))) in z 0.507 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 z)) (/ 1 (* z y))) 0.507 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 z)) in z 0.507 * [taylor]: Taking taylor expansion of (/ -1 x) in z 0.507 * [taylor]: Taking taylor expansion of -1 in z 0.507 * [taylor]: Taking taylor expansion of x in z 0.507 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.507 * [taylor]: Taking taylor expansion of -1 in z 0.507 * [taylor]: Taking taylor expansion of z in z 0.507 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in z 0.507 * [taylor]: Taking taylor expansion of (* z y) in z 0.507 * [taylor]: Taking taylor expansion of z in z 0.507 * [taylor]: Taking taylor expansion of y in z 0.507 * [taylor]: Taking taylor expansion of (fma 1.0 (/ -1 y) (- (fma (/ -1 x) (/ -1 z) (/ 1 (* z y))))) in x 0.508 * [taylor]: Rewrote expression to (+ (* 1.0 (/ -1 y)) (- (fma (/ -1 x) (/ -1 z) (/ 1 (* z y))))) 0.508 * [taylor]: Taking taylor expansion of (* 1.0 (/ -1 y)) in x 0.508 * [taylor]: Taking taylor expansion of 1.0 in x 0.508 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.508 * [taylor]: Taking taylor expansion of -1 in x 0.508 * [taylor]: Taking taylor expansion of y in x 0.508 * [taylor]: Taking taylor expansion of (- (fma (/ -1 x) (/ -1 z) (/ 1 (* z y)))) in x 0.508 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 z) (/ 1 (* z y))) in x 0.508 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 z)) (/ 1 (* z y))) 0.508 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 z)) in x 0.508 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.508 * [taylor]: Taking taylor expansion of -1 in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.508 * [taylor]: Taking taylor expansion of -1 in x 0.508 * [taylor]: Taking taylor expansion of z in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in x 0.509 * [taylor]: Taking taylor expansion of (* z y) in x 0.509 * [taylor]: Taking taylor expansion of z in x 0.509 * [taylor]: Taking taylor expansion of y in x 0.509 * [taylor]: Taking taylor expansion of (fma 1.0 (/ -1 y) (- (fma (/ -1 x) (/ -1 z) (/ 1 (* z y))))) in y 0.509 * [taylor]: Rewrote expression to (+ (* 1.0 (/ -1 y)) (- (fma (/ -1 x) (/ -1 z) (/ 1 (* z y))))) 0.509 * [taylor]: Taking taylor expansion of (* 1.0 (/ -1 y)) in y 0.509 * [taylor]: Taking taylor expansion of 1.0 in y 0.509 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.509 * [taylor]: Taking taylor expansion of -1 in y 0.509 * [taylor]: Taking taylor expansion of y in y 0.509 * [taylor]: Taking taylor expansion of (- (fma (/ -1 x) (/ -1 z) (/ 1 (* z y)))) in y 0.509 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 z) (/ 1 (* z y))) in y 0.509 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 z)) (/ 1 (* z y))) 0.509 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 z)) in y 0.509 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.509 * [taylor]: Taking taylor expansion of -1 in y 0.509 * [taylor]: Taking taylor expansion of x in y 0.509 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.509 * [taylor]: Taking taylor expansion of -1 in y 0.509 * [taylor]: Taking taylor expansion of z in y 0.509 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.509 * [taylor]: Taking taylor expansion of (* z y) in y 0.509 * [taylor]: Taking taylor expansion of z in y 0.509 * [taylor]: Taking taylor expansion of y in y 0.510 * [taylor]: Taking taylor expansion of (fma 1.0 (/ -1 y) (- (fma (/ -1 x) (/ -1 z) (/ 1 (* z y))))) in y 0.510 * [taylor]: Rewrote expression to (+ (* 1.0 (/ -1 y)) (- (fma (/ -1 x) (/ -1 z) (/ 1 (* z y))))) 0.510 * [taylor]: Taking taylor expansion of (* 1.0 (/ -1 y)) in y 0.510 * [taylor]: Taking taylor expansion of 1.0 in y 0.510 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.510 * [taylor]: Taking taylor expansion of -1 in y 0.510 * [taylor]: Taking taylor expansion of y in y 0.510 * [taylor]: Taking taylor expansion of (- (fma (/ -1 x) (/ -1 z) (/ 1 (* z y)))) in y 0.510 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 z) (/ 1 (* z y))) in y 0.510 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 z)) (/ 1 (* z y))) 0.510 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 z)) in y 0.510 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.510 * [taylor]: Taking taylor expansion of -1 in y 0.510 * [taylor]: Taking taylor expansion of x in y 0.511 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.511 * [taylor]: Taking taylor expansion of -1 in y 0.511 * [taylor]: Taking taylor expansion of z in y 0.511 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.511 * [taylor]: Taking taylor expansion of (* z y) in y 0.511 * [taylor]: Taking taylor expansion of z in y 0.511 * [taylor]: Taking taylor expansion of y in y 0.511 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) 1.0)) in x 0.511 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.511 * [taylor]: Taking taylor expansion of z in x 0.511 * [taylor]: Taking taylor expansion of 1.0 in x 0.513 * [taylor]: Taking taylor expansion of (- (/ 1 (* x z))) in x 0.513 * [taylor]: Taking taylor expansion of (/ 1 (* x z)) in x 0.513 * [taylor]: Taking taylor expansion of (* x z) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of z in x 0.514 * [taylor]: Taking taylor expansion of (- (/ 1 z)) in z 0.514 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.514 * [taylor]: Taking taylor expansion of z in z 0.514 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) 1.0)) in z 0.514 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 0.514 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.514 * [taylor]: Taking taylor expansion of z in z 0.514 * [taylor]: Taking taylor expansion of 1.0 in z 0.518 * [taylor]: Taking taylor expansion of 0 in x 0.518 * [taylor]: Taking taylor expansion of 0 in z 0.519 * [taylor]: Taking taylor expansion of 0 in z 0.522 * * * [progress]: simplifying candidates 0.522 * [simplify]: Simplifying using # : (expm1 (fma 1.0 y (- (fma x z (* z y))))) (log1p (fma 1.0 y (- (fma x z (* z y))))) (* 1.0 y) (log (fma 1.0 y (- (fma x z (* z y))))) (exp (fma 1.0 y (- (fma x z (* z y))))) (* (cbrt (fma 1.0 y (- (fma x z (* z y))))) (cbrt (fma 1.0 y (- (fma x z (* z y)))))) (cbrt (fma 1.0 y (- (fma x z (* z y))))) (* (* (fma 1.0 y (- (fma x z (* z y)))) (fma 1.0 y (- (fma x z (* z y))))) (fma 1.0 y (- (fma x z (* z y))))) (sqrt (fma 1.0 y (- (fma x z (* z y))))) (sqrt (fma 1.0 y (- (fma x z (* z y))))) (- (* 1.0 y) (+ (* x z) (* z y))) (- (* 1.0 y) (+ (* x z) (* z y))) (- (* 1.0 y) (+ (* x z) (* z y))) 0.525 * * [simplify]: iteration 0 : 32 enodes (cost 73 ) 0.526 * * [simplify]: iteration 1 : 78 enodes (cost 64 ) 0.528 * * [simplify]: iteration 2 : 259 enodes (cost 64 ) 0.534 * * [simplify]: iteration 3 : 1397 enodes (cost 64 ) 0.569 * * [simplify]: iteration 4 : 5001 enodes (cost 64 ) 0.570 * [simplify]: Simplified to: (expm1 (fma 1.0 y (- (fma x z (* z y))))) (log1p (fma 1.0 y (- (fma x z (* z y))))) (* 1.0 y) (log (fma 1.0 y (- (fma x z (* z y))))) (exp (fma 1.0 y (- (fma x z (* z y))))) (* (cbrt (fma 1.0 y (- (fma x z (* z y))))) (cbrt (fma 1.0 y (- (fma x z (* z y)))))) (cbrt (fma 1.0 y (- (fma x z (* z y))))) (pow (fma 1.0 y (- (fma x z (* z y)))) 3) (sqrt (fma 1.0 y (- (fma x z (* z y))))) (sqrt (fma 1.0 y (- (fma x z (* z y))))) (fma 1.0 y (- (fma x z (* z y)))) (fma 1.0 y (- (fma x z (* z y)))) (fma 1.0 y (- (fma x z (* z y)))) 0.570 * * * [progress]: adding candidates to table 0.593 * [progress]: [Phase 3 of 3] Extracting. 0.593 * * [regime]: Finding splitpoints for: (# #) 0.594 * * * [regime-changes]: Trying 3 branch expressions: (z y x) 0.594 * * * * [regimes]: Trying to branch on z from (# #) 0.609 * * * * [regimes]: Trying to branch on y from (# #) 0.622 * * * * [regimes]: Trying to branch on x from (# #) 0.634 * * * [regime]: Found split indices: #