8.210 * [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: (+ (* x y) (* z (- 1.0 y))) 0.020 * [simplify]: Sending expressions to egg_math: (+ (* h0 h1) (* h2 (- h3 h1))) 0.023 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.025 * * [simplify]: iteration 1 : 24 enodes (cost 3 ) 0.026 * * [simplify]: iteration 2 : 40 enodes (cost 3 ) 0.028 * * [simplify]: iteration 3 : 64 enodes (cost 3 ) 0.030 * * [simplify]: iteration 4 : 84 enodes (cost 3 ) 0.033 * * [simplify]: iteration 5 : 102 enodes (cost 3 ) 0.035 * * [simplify]: iteration 6 : 128 enodes (cost 3 ) 0.038 * * [simplify]: iteration 7 : 177 enodes (cost 3 ) 0.041 * * [simplify]: iteration 8 : 272 enodes (cost 3 ) 0.046 * * [simplify]: iteration 9 : 508 enodes (cost 3 ) 0.050 * * [simplify]: iteration 10 : 736 enodes (cost 3 ) 0.055 * * [simplify]: iteration 11 : 754 enodes (cost 3 ) 0.060 * * [simplify]: iteration 12 : 756 enodes (cost 3 ) 0.065 * * [simplify]: iteration 13 : 756 enodes (cost 3 ) 0.068 * * [progress]: iteration 1 / 4 0.068 * * * [progress]: picking best candidate 0.070 * * * * [pick]: Picked # 0.070 * * * [progress]: localizing error 0.076 * * * [progress]: generating rewritten candidates 0.076 * * * * [progress]: [ 1 / 1 ] rewriting at (2 3) 0.101 * * * [progress]: generating series expansions 0.101 * * * * [progress]: [ 1 / 1 ] generating series at (2 3) 0.102 * [backup-simplify]: Simplify (* z (- 1.0 y)) into (* (- 1.0 y) z) 0.102 * [approximate]: Taking taylor expansion of (* (- 1.0 y) z) in (z y) around 0 0.102 * [taylor]: Taking taylor expansion of (* (- 1.0 y) z) in y 0.102 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.102 * [taylor]: Taking taylor expansion of 1.0 in y 0.102 * [backup-simplify]: Simplify 1.0 into 1.0 0.102 * [taylor]: Taking taylor expansion of y in y 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [taylor]: Taking taylor expansion of z in y 0.102 * [backup-simplify]: Simplify z into z 0.102 * [taylor]: Taking taylor expansion of (* (- 1.0 y) z) in z 0.102 * [taylor]: Taking taylor expansion of (- 1.0 y) in z 0.102 * [taylor]: Taking taylor expansion of 1.0 in z 0.102 * [backup-simplify]: Simplify 1.0 into 1.0 0.102 * [taylor]: Taking taylor expansion of y in z 0.102 * [backup-simplify]: Simplify y into y 0.102 * [taylor]: Taking taylor expansion of z in z 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [taylor]: Taking taylor expansion of (* (- 1.0 y) z) in z 0.102 * [taylor]: Taking taylor expansion of (- 1.0 y) in z 0.102 * [taylor]: Taking taylor expansion of 1.0 in z 0.102 * [backup-simplify]: Simplify 1.0 into 1.0 0.102 * [taylor]: Taking taylor expansion of y in z 0.102 * [backup-simplify]: Simplify y into y 0.102 * [taylor]: Taking taylor expansion of z in z 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (- y) into (- y) 0.102 * [backup-simplify]: Simplify (+ 1.0 (- y)) into (- 1.0 y) 0.102 * [backup-simplify]: Simplify (* (- 1.0 y) 0) into 0 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (- 0) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [backup-simplify]: Simplify (+ (* (- 1.0 y) 1) (* 0 0)) into (- 1.0 y) 0.103 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.103 * [taylor]: Taking taylor expansion of 1.0 in y 0.103 * [backup-simplify]: Simplify 1.0 into 1.0 0.103 * [taylor]: Taking taylor expansion of y in y 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (- 0) into 0 0.104 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.104 * [backup-simplify]: Simplify 1.0 into 1.0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (- 0) into 0 0.104 * [backup-simplify]: Simplify (+ 0 0) into 0 0.105 * [backup-simplify]: Simplify (+ (* (- 1.0 y) 0) (+ (* 0 1) (* 0 0))) into 0 0.105 * [taylor]: Taking taylor expansion of 0 in y 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (- 1) into -1 0.105 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.105 * [backup-simplify]: Simplify -1 into -1 0.105 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (- 0) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify (+ (* (- 1.0 y) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (- 0) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (- 0) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify (+ (* (- 1.0 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (+ (* -1 (* y z)) (* 1.0 (* 1 z))) into (- (* 1.0 z) (* z y)) 0.108 * [backup-simplify]: Simplify (* (/ 1 z) (- 1.0 (/ 1 y))) into (/ (- 1.0 (/ 1 y)) z) 0.108 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) z) in (z y) around 0 0.108 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) z) in y 0.108 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.108 * [taylor]: Taking taylor expansion of 1.0 in y 0.108 * [backup-simplify]: Simplify 1.0 into 1.0 0.108 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.108 * [taylor]: Taking taylor expansion of y in y 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (/ 1 1) into 1 0.109 * [taylor]: Taking taylor expansion of z in y 0.109 * [backup-simplify]: Simplify z into z 0.109 * [backup-simplify]: Simplify (- 1) into -1 0.109 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.109 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.109 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) z) in z 0.109 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in z 0.109 * [taylor]: Taking taylor expansion of 1.0 in z 0.109 * [backup-simplify]: Simplify 1.0 into 1.0 0.109 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.109 * [taylor]: Taking taylor expansion of y in z 0.109 * [backup-simplify]: Simplify y into y 0.109 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.109 * [taylor]: Taking taylor expansion of z in z 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.109 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 y))) into (- 1.0 (/ 1 y)) 0.109 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 y)) 1) into (- 1.0 (/ 1 y)) 0.109 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) z) in z 0.110 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in z 0.110 * [taylor]: Taking taylor expansion of 1.0 in z 0.110 * [backup-simplify]: Simplify 1.0 into 1.0 0.110 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.110 * [taylor]: Taking taylor expansion of y in z 0.110 * [backup-simplify]: Simplify y into y 0.110 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.110 * [taylor]: Taking taylor expansion of z in z 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.110 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 y))) into (- 1.0 (/ 1 y)) 0.110 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 y)) 1) into (- 1.0 (/ 1 y)) 0.110 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.110 * [taylor]: Taking taylor expansion of 1.0 in y 0.110 * [backup-simplify]: Simplify 1.0 into 1.0 0.110 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.110 * [taylor]: Taking taylor expansion of y in y 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (/ 1 1) into 1 0.111 * [backup-simplify]: Simplify (- 1) into -1 0.111 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.111 * [backup-simplify]: Simplify -1 into -1 0.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.111 * [backup-simplify]: Simplify (- 0) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- 1.0 (/ 1 y)) (/ 0 1)))) into 0 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (- 0) into 0 0.113 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.113 * [backup-simplify]: Simplify 1.0 into 1.0 0.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.113 * [backup-simplify]: Simplify (- 0) into 0 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- 1.0 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (- 0) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.120 * [backup-simplify]: Simplify (- 0) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- 1.0 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.122 * [taylor]: Taking taylor expansion of 0 in y 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (- 0) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.123 * [backup-simplify]: Simplify (- 0) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (- 1.0 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.125 * [taylor]: Taking taylor expansion of 0 in y 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (+ (* 1.0 (* 1 (/ 1 (/ 1 z)))) (* -1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 z))))) into (- (* 1.0 z) (* z y)) 0.125 * [backup-simplify]: Simplify (* (/ 1 (- z)) (- 1.0 (/ 1 (- y)))) into (* -1 (/ (+ (/ 1 y) 1.0) z)) 0.125 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) z)) in (z y) around 0 0.125 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) z)) in y 0.125 * [taylor]: Taking taylor expansion of -1 in y 0.125 * [backup-simplify]: Simplify -1 into -1 0.125 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) z) in y 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.125 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.125 * [taylor]: Taking taylor expansion of y in y 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (/ 1 1) into 1 0.126 * [taylor]: Taking taylor expansion of 1.0 in y 0.126 * [backup-simplify]: Simplify 1.0 into 1.0 0.126 * [taylor]: Taking taylor expansion of z in y 0.126 * [backup-simplify]: Simplify z into z 0.126 * [backup-simplify]: Simplify (+ 1 0) into 1 0.126 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.126 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) z)) in z 0.126 * [taylor]: Taking taylor expansion of -1 in z 0.126 * [backup-simplify]: Simplify -1 into -1 0.126 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) z) in z 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in z 0.126 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.126 * [taylor]: Taking taylor expansion of y in z 0.126 * [backup-simplify]: Simplify y into y 0.126 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.126 * [taylor]: Taking taylor expansion of 1.0 in z 0.126 * [backup-simplify]: Simplify 1.0 into 1.0 0.126 * [taylor]: Taking taylor expansion of z in z 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (+ (/ 1 y) 1.0) into (+ (/ 1 y) 1.0) 0.126 * [backup-simplify]: Simplify (/ (+ (/ 1 y) 1.0) 1) into (+ (/ 1 y) 1.0) 0.126 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) z)) in z 0.126 * [taylor]: Taking taylor expansion of -1 in z 0.127 * [backup-simplify]: Simplify -1 into -1 0.127 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) z) in z 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in z 0.127 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.127 * [taylor]: Taking taylor expansion of y in z 0.127 * [backup-simplify]: Simplify y into y 0.127 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.127 * [taylor]: Taking taylor expansion of 1.0 in z 0.127 * [backup-simplify]: Simplify 1.0 into 1.0 0.127 * [taylor]: Taking taylor expansion of z in z 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify (+ (/ 1 y) 1.0) into (+ (/ 1 y) 1.0) 0.127 * [backup-simplify]: Simplify (/ (+ (/ 1 y) 1.0) 1) into (+ (/ 1 y) 1.0) 0.127 * [backup-simplify]: Simplify (* -1 (+ (/ 1 y) 1.0)) into (* -1 (+ (/ 1 y) 1.0)) 0.127 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 y) 1.0)) in y 0.127 * [taylor]: Taking taylor expansion of -1 in y 0.127 * [backup-simplify]: Simplify -1 into -1 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.127 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify (/ 1 1) into 1 0.127 * [taylor]: Taking taylor expansion of 1.0 in y 0.127 * [backup-simplify]: Simplify 1.0 into 1.0 0.128 * [backup-simplify]: Simplify (+ 1 0) into 1 0.128 * [backup-simplify]: Simplify (* -1 1) into -1 0.128 * [backup-simplify]: Simplify -1 into -1 0.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.128 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 y) 1.0) (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (+ (/ 1 y) 1.0))) into 0 0.129 * [taylor]: Taking taylor expansion of 0 in y 0.129 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.131 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 1)) into (- 1.0) 0.131 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.132 * [backup-simplify]: Simplify (+ 0 0) into 0 0.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 y) 1.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (+ (/ 1 y) 1.0)))) into 0 0.133 * [taylor]: Taking taylor expansion of 0 in y 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 1))) into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 y) 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 y) 1.0))))) into 0 0.137 * [taylor]: Taking taylor expansion of 0 in y 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 y) 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 y) 1.0)))))) into 0 0.141 * [taylor]: Taking taylor expansion of 0 in y 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (+ (* (- 1.0) (* 1 (/ 1 (/ 1 (- z))))) (* -1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- z)))))) into (- (* 1.0 z) (* z y)) 0.142 * * * [progress]: simplifying candidates 0.143 * [simplify]: Simplifying: (expm1 (* z (- 1.0 y))) (log1p (* z (- 1.0 y))) (* z (- 1.0 y)) (+ (log z) (log (- 1.0 y))) (log (* z (- 1.0 y))) (exp (* z (- 1.0 y))) (* (* (* z z) z) (* (* (- 1.0 y) (- 1.0 y)) (- 1.0 y))) (* (cbrt (* z (- 1.0 y))) (cbrt (* z (- 1.0 y)))) (cbrt (* z (- 1.0 y))) (* (* (* z (- 1.0 y)) (* z (- 1.0 y))) (* z (- 1.0 y))) (sqrt (* z (- 1.0 y))) (sqrt (* z (- 1.0 y))) (* (sqrt z) (sqrt (- 1.0 y))) (* (sqrt z) (sqrt (- 1.0 y))) (* z (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* z (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* z (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt y) (sqrt y))))) (* z (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* z (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* y 1)))) (* z (fma (- y) 1 (* y 1))) (* z (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* z (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* z (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt y) (sqrt y))))) (* z (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* z (fma (sqrt 1.0) (sqrt 1.0) (- (* y 1)))) (* z (fma (- y) 1 (* y 1))) (* z (fma 1 1.0 (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* z (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* z (fma 1 1.0 (- (* (sqrt y) (sqrt y))))) (* z (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* z (fma 1 1.0 (- (* y 1)))) (* z (fma (- y) 1 (* y 1))) (* z 1.0) (* z (- y)) (* z 1.0) (* z (- y)) (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) z) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) z) (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt y) (sqrt y)))) z) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) z) (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* y 1))) z) (* (fma (- y) 1 (* y 1)) z) (* (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) z) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) z) (* (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt y) (sqrt y)))) z) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) z) (* (fma (sqrt 1.0) (sqrt 1.0) (- (* y 1))) z) (* (fma (- y) 1 (* y 1)) z) (* (fma 1 1.0 (- (* (cbrt y) (* (cbrt y) (cbrt y))))) z) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) z) (* (fma 1 1.0 (- (* (sqrt y) (sqrt y)))) z) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) z) (* (fma 1 1.0 (- (* y 1))) z) (* (fma (- y) 1 (* y 1)) z) (* 1.0 z) (* (- y) z) (* 1.0 z) (* (- y) z) (* z (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (* z (sqrt (- 1.0 y))) (* z 1) (* z (+ (sqrt 1.0) (sqrt y))) (* z 1) (* (cbrt z) (- 1.0 y)) (* (sqrt z) (- 1.0 y)) (* z (- 1.0 y)) (* z (- (pow 1.0 3) (pow y 3))) (* z (- (* 1.0 1.0) (* y y))) (- (* 1.0 z) (* z y)) (- (* 1.0 z) (* z y)) (- (* 1.0 z) (* z y)) 0.143 * [simplify]: Sending expressions to egg_math: (expm1 (* h0 (- h1 h2))) (log1p (* h0 (- h1 h2))) (* h0 (- h1 h2)) (+ (log h0) (log (- h1 h2))) (log (* h0 (- h1 h2))) (exp (* h0 (- h1 h2))) (* (* (* h0 h0) h0) (* (* (- h1 h2) (- h1 h2)) (- h1 h2))) (* (cbrt (* h0 (- h1 h2))) (cbrt (* h0 (- h1 h2)))) (cbrt (* h0 (- h1 h2))) (* (* (* h0 (- h1 h2)) (* h0 (- h1 h2))) (* h0 (- h1 h2))) (sqrt (* h0 (- h1 h2))) (sqrt (* h0 (- h1 h2))) (* (sqrt h0) (sqrt (- h1 h2))) (* (sqrt h0) (sqrt (- h1 h2))) (* h0 (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* (cbrt h2) (* (cbrt h2) (cbrt h2)))))) (* h0 (fma (- (cbrt h2)) (* (cbrt h2) (cbrt h2)) (* (cbrt h2) (* (cbrt h2) (cbrt h2))))) (* h0 (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* (sqrt h2) (sqrt h2))))) (* h0 (fma (- (sqrt h2)) (sqrt h2) (* (sqrt h2) (sqrt h2)))) (* h0 (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* h2 1)))) (* h0 (fma (- h2) 1 (* h2 1))) (* h0 (fma (sqrt h1) (sqrt h1) (- (* (cbrt h2) (* (cbrt h2) (cbrt h2)))))) (* h0 (fma (- (cbrt h2)) (* (cbrt h2) (cbrt h2)) (* (cbrt h2) (* (cbrt h2) (cbrt h2))))) (* h0 (fma (sqrt h1) (sqrt h1) (- (* (sqrt h2) (sqrt h2))))) (* h0 (fma (- (sqrt h2)) (sqrt h2) (* (sqrt h2) (sqrt h2)))) (* h0 (fma (sqrt h1) (sqrt h1) (- (* h2 1)))) (* h0 (fma (- h2) 1 (* h2 1))) (* h0 (fma 1 h1 (- (* (cbrt h2) (* (cbrt h2) (cbrt h2)))))) (* h0 (fma (- (cbrt h2)) (* (cbrt h2) (cbrt h2)) (* (cbrt h2) (* (cbrt h2) (cbrt h2))))) (* h0 (fma 1 h1 (- (* (sqrt h2) (sqrt h2))))) (* h0 (fma (- (sqrt h2)) (sqrt h2) (* (sqrt h2) (sqrt h2)))) (* h0 (fma 1 h1 (- (* h2 1)))) (* h0 (fma (- h2) 1 (* h2 1))) (* h0 h1) (* h0 (- h2)) (* h0 h1) (* h0 (- h2)) (* (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* (cbrt h2) (* (cbrt h2) (cbrt h2))))) h0) (* (fma (- (cbrt h2)) (* (cbrt h2) (cbrt h2)) (* (cbrt h2) (* (cbrt h2) (cbrt h2)))) h0) (* (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* (sqrt h2) (sqrt h2)))) h0) (* (fma (- (sqrt h2)) (sqrt h2) (* (sqrt h2) (sqrt h2))) h0) (* (fma (* (cbrt h1) (cbrt h1)) (cbrt h1) (- (* h2 1))) h0) (* (fma (- h2) 1 (* h2 1)) h0) (* (fma (sqrt h1) (sqrt h1) (- (* (cbrt h2) (* (cbrt h2) (cbrt h2))))) h0) (* (fma (- (cbrt h2)) (* (cbrt h2) (cbrt h2)) (* (cbrt h2) (* (cbrt h2) (cbrt h2)))) h0) (* (fma (sqrt h1) (sqrt h1) (- (* (sqrt h2) (sqrt h2)))) h0) (* (fma (- (sqrt h2)) (sqrt h2) (* (sqrt h2) (sqrt h2))) h0) (* (fma (sqrt h1) (sqrt h1) (- (* h2 1))) h0) (* (fma (- h2) 1 (* h2 1)) h0) (* (fma 1 h1 (- (* (cbrt h2) (* (cbrt h2) (cbrt h2))))) h0) (* (fma (- (cbrt h2)) (* (cbrt h2) (cbrt h2)) (* (cbrt h2) (* (cbrt h2) (cbrt h2)))) h0) (* (fma 1 h1 (- (* (sqrt h2) (sqrt h2)))) h0) (* (fma (- (sqrt h2)) (sqrt h2) (* (sqrt h2) (sqrt h2))) h0) (* (fma 1 h1 (- (* h2 1))) h0) (* (fma (- h2) 1 (* h2 1)) h0) (* h1 h0) (* (- h2) h0) (* h1 h0) (* (- h2) h0) (* h0 (* (cbrt (- h1 h2)) (cbrt (- h1 h2)))) (* h0 (sqrt (- h1 h2))) (* h0 1) (* h0 (+ (sqrt h1) (sqrt h2))) (* h0 1) (* (cbrt h0) (- h1 h2)) (* (sqrt h0) (- h1 h2)) (* h0 (- h1 h2)) (* h0 (- (pow h1 3) (pow h2 3))) (* h0 (- (* h1 h1) (* h2 h2))) (- (* h1 h0) (* h0 h2)) (- (* h1 h0) (* h0 h2)) (- (* h1 h0) (* h0 h2)) 0.148 * * [simplify]: iteration 0 : 190 enodes (cost 359 ) 0.152 * * [simplify]: iteration 1 : 718 enodes (cost 220 ) 0.168 * * [simplify]: iteration 2 : 3035 enodes (cost 190 ) 0.229 * * [simplify]: iteration 3 : 5001 enodes (cost 166 ) 0.230 * * * [progress]: adding candidates to table 0.292 * * [progress]: iteration 2 / 4 0.292 * * * [progress]: picking best candidate 0.294 * * * * [pick]: Picked # 0.294 * * * [progress]: localizing error 0.302 * * * [progress]: generating rewritten candidates 0.302 * * * * [progress]: [ 1 / 1 ] rewriting at (2 3) 0.311 * * * [progress]: generating series expansions 0.311 * * * * [progress]: [ 1 / 1 ] generating series at (2 3) 0.311 * [backup-simplify]: Simplify (+ (* z 1.0) (* z (- y))) into (- (* 1.0 z) (* z y)) 0.311 * [approximate]: Taking taylor expansion of (- (* 1.0 z) (* z y)) in (z y) around 0 0.311 * [taylor]: Taking taylor expansion of (- (* 1.0 z) (* z y)) in y 0.311 * [taylor]: Taking taylor expansion of (* 1.0 z) in y 0.311 * [taylor]: Taking taylor expansion of 1.0 in y 0.311 * [backup-simplify]: Simplify 1.0 into 1.0 0.311 * [taylor]: Taking taylor expansion of z in y 0.311 * [backup-simplify]: Simplify z into z 0.311 * [taylor]: Taking taylor expansion of (* z y) in y 0.311 * [taylor]: Taking taylor expansion of z in y 0.311 * [backup-simplify]: Simplify z into z 0.311 * [taylor]: Taking taylor expansion of y in y 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.312 * [taylor]: Taking taylor expansion of (- (* 1.0 z) (* z y)) in z 0.312 * [taylor]: Taking taylor expansion of (* 1.0 z) in z 0.312 * [taylor]: Taking taylor expansion of 1.0 in z 0.312 * [backup-simplify]: Simplify 1.0 into 1.0 0.312 * [taylor]: Taking taylor expansion of z in z 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [taylor]: Taking taylor expansion of (* z y) in z 0.312 * [taylor]: Taking taylor expansion of z in z 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [taylor]: Taking taylor expansion of y in z 0.312 * [backup-simplify]: Simplify y into y 0.312 * [taylor]: Taking taylor expansion of (- (* 1.0 z) (* z y)) in z 0.312 * [taylor]: Taking taylor expansion of (* 1.0 z) in z 0.312 * [taylor]: Taking taylor expansion of 1.0 in z 0.312 * [backup-simplify]: Simplify 1.0 into 1.0 0.312 * [taylor]: Taking taylor expansion of z in z 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [taylor]: Taking taylor expansion of (* z y) in z 0.312 * [taylor]: Taking taylor expansion of z in z 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [taylor]: Taking taylor expansion of y in z 0.312 * [backup-simplify]: Simplify y into y 0.312 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.312 * [backup-simplify]: Simplify (* 0 y) into 0 0.313 * [backup-simplify]: Simplify (- 0) into 0 0.313 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [taylor]: Taking taylor expansion of 0 in y 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.314 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.314 * [backup-simplify]: Simplify (- y) into (- y) 0.314 * [backup-simplify]: Simplify (+ 1.0 (- y)) into (- 1.0 y) 0.314 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.314 * [taylor]: Taking taylor expansion of 1.0 in y 0.314 * [backup-simplify]: Simplify 1.0 into 1.0 0.314 * [taylor]: Taking taylor expansion of y in y 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [backup-simplify]: Simplify (- 0) into 0 0.315 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.315 * [backup-simplify]: Simplify 1.0 into 1.0 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.316 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.316 * [backup-simplify]: Simplify (- 0) into 0 0.316 * [backup-simplify]: Simplify (+ 0 0) into 0 0.316 * [taylor]: Taking taylor expansion of 0 in y 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify (- 1) into -1 0.317 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.317 * [backup-simplify]: Simplify -1 into -1 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.318 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.318 * [backup-simplify]: Simplify (- 0) into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [taylor]: Taking taylor expansion of 0 in y 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify (- 0) into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.321 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.321 * [backup-simplify]: Simplify (- 0) into 0 0.321 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [taylor]: Taking taylor expansion of 0 in y 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify (+ (* -1 (* y z)) (* 1.0 (* 1 z))) into (- (* 1.0 z) (* z y)) 0.321 * [backup-simplify]: Simplify (+ (* (/ 1 z) 1.0) (* (/ 1 z) (- (/ 1 y)))) into (- (* 1.0 (/ 1 z)) (/ 1 (* z y))) 0.321 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 z)) (/ 1 (* z y))) in (z y) around 0 0.322 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 z)) (/ 1 (* z y))) in y 0.322 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 z)) in y 0.322 * [taylor]: Taking taylor expansion of 1.0 in y 0.322 * [backup-simplify]: Simplify 1.0 into 1.0 0.322 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.322 * [taylor]: Taking taylor expansion of z in y 0.322 * [backup-simplify]: Simplify z into z 0.322 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.322 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.322 * [taylor]: Taking taylor expansion of (* z y) in y 0.322 * [taylor]: Taking taylor expansion of z in y 0.322 * [backup-simplify]: Simplify z into z 0.322 * [taylor]: Taking taylor expansion of y in y 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (* z 0) into 0 0.322 * [backup-simplify]: Simplify (+ (* z 1) (* 0 0)) into z 0.322 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.322 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 z)) (/ 1 (* z y))) in z 0.322 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 z)) in z 0.322 * [taylor]: Taking taylor expansion of 1.0 in z 0.322 * [backup-simplify]: Simplify 1.0 into 1.0 0.322 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.322 * [taylor]: Taking taylor expansion of z in z 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (/ 1 1) into 1 0.323 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in z 0.323 * [taylor]: Taking taylor expansion of (* z y) in z 0.323 * [taylor]: Taking taylor expansion of z in z 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [taylor]: Taking taylor expansion of y in z 0.323 * [backup-simplify]: Simplify y into y 0.323 * [backup-simplify]: Simplify (* 0 y) into 0 0.323 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.323 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.323 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 z)) (/ 1 (* z y))) in z 0.323 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 z)) in z 0.323 * [taylor]: Taking taylor expansion of 1.0 in z 0.323 * [backup-simplify]: Simplify 1.0 into 1.0 0.323 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.323 * [taylor]: Taking taylor expansion of z in z 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify (/ 1 1) into 1 0.323 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in z 0.323 * [taylor]: Taking taylor expansion of (* z y) in z 0.323 * [taylor]: Taking taylor expansion of z in z 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [taylor]: Taking taylor expansion of y in z 0.323 * [backup-simplify]: Simplify y into y 0.323 * [backup-simplify]: Simplify (* 0 y) into 0 0.324 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.324 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.324 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.324 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.324 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 y))) into (- 1.0 (/ 1 y)) 0.324 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.324 * [taylor]: Taking taylor expansion of 1.0 in y 0.324 * [backup-simplify]: Simplify 1.0 into 1.0 0.324 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (/ 1 1) into 1 0.325 * [backup-simplify]: Simplify (- 1) into -1 0.325 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.325 * [backup-simplify]: Simplify -1 into -1 0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 0.326 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.327 * [backup-simplify]: Simplify (- 0) into 0 0.327 * [backup-simplify]: Simplify (+ 0 0) into 0 0.327 * [taylor]: Taking taylor expansion of 0 in y 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (- 0) into 0 0.328 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.328 * [backup-simplify]: Simplify 1.0 into 1.0 0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 0.330 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.330 * [backup-simplify]: Simplify (- 0) into 0 0.330 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [taylor]: Taking taylor expansion of 0 in y 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify (- 0) into 0 0.331 * [backup-simplify]: Simplify (+ 0 0) into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.333 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.334 * [backup-simplify]: Simplify (- 0) into 0 0.334 * [backup-simplify]: Simplify (+ 0 0) into 0 0.334 * [taylor]: Taking taylor expansion of 0 in y 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.335 * [backup-simplify]: Simplify (- 0) into 0 0.335 * [backup-simplify]: Simplify (+ 0 0) into 0 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.337 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.338 * [backup-simplify]: Simplify (- 0) into 0 0.338 * [backup-simplify]: Simplify (+ 0 0) into 0 0.338 * [taylor]: Taking taylor expansion of 0 in y 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify (+ (* 1.0 (* 1 (/ 1 (/ 1 z)))) (* -1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 z))))) into (- (* 1.0 z) (* z y)) 0.338 * [backup-simplify]: Simplify (+ (* (/ 1 (- z)) 1.0) (* (/ 1 (- z)) (- (/ 1 (- y))))) into (- (+ (/ 1 (* z y)) (* 1.0 (/ 1 z)))) 0.338 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (* z y)) (* 1.0 (/ 1 z)))) in (z y) around 0 0.338 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* z y)) (* 1.0 (/ 1 z)))) in y 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (* z y)) (* 1.0 (/ 1 z))) in y 0.338 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.338 * [taylor]: Taking taylor expansion of (* z y) in y 0.338 * [taylor]: Taking taylor expansion of z in y 0.338 * [backup-simplify]: Simplify z into z 0.338 * [taylor]: Taking taylor expansion of y in y 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (* z 0) into 0 0.339 * [backup-simplify]: Simplify (+ (* z 1) (* 0 0)) into z 0.339 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.339 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 z)) in y 0.339 * [taylor]: Taking taylor expansion of 1.0 in y 0.339 * [backup-simplify]: Simplify 1.0 into 1.0 0.339 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.339 * [taylor]: Taking taylor expansion of z in y 0.339 * [backup-simplify]: Simplify z into z 0.339 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.339 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* z y)) (* 1.0 (/ 1 z)))) in z 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (* z y)) (* 1.0 (/ 1 z))) in z 0.339 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in z 0.339 * [taylor]: Taking taylor expansion of (* z y) in z 0.339 * [taylor]: Taking taylor expansion of z in z 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [taylor]: Taking taylor expansion of y in z 0.339 * [backup-simplify]: Simplify y into y 0.339 * [backup-simplify]: Simplify (* 0 y) into 0 0.339 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.339 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.340 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 z)) in z 0.340 * [taylor]: Taking taylor expansion of 1.0 in z 0.340 * [backup-simplify]: Simplify 1.0 into 1.0 0.340 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.340 * [taylor]: Taking taylor expansion of z in z 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify (/ 1 1) into 1 0.340 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* z y)) (* 1.0 (/ 1 z)))) in z 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (* z y)) (* 1.0 (/ 1 z))) in z 0.340 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in z 0.340 * [taylor]: Taking taylor expansion of (* z y) in z 0.340 * [taylor]: Taking taylor expansion of z in z 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [taylor]: Taking taylor expansion of y in z 0.340 * [backup-simplify]: Simplify y into y 0.340 * [backup-simplify]: Simplify (* 0 y) into 0 0.340 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.340 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.340 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 z)) in z 0.340 * [taylor]: Taking taylor expansion of 1.0 in z 0.340 * [backup-simplify]: Simplify 1.0 into 1.0 0.340 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.340 * [taylor]: Taking taylor expansion of z in z 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify (/ 1 1) into 1 0.341 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.341 * [backup-simplify]: Simplify (+ (/ 1 y) 1.0) into (+ (/ 1 y) 1.0) 0.341 * [backup-simplify]: Simplify (- (+ (/ 1 y) 1.0)) into (- (+ (/ 1 y) 1.0)) 0.341 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) 1.0)) in y 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.345 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [backup-simplify]: Simplify (/ 1 1) into 1 0.345 * [taylor]: Taking taylor expansion of 1.0 in y 0.345 * [backup-simplify]: Simplify 1.0 into 1.0 0.346 * [backup-simplify]: Simplify (+ 1 0) into 1 0.346 * [backup-simplify]: Simplify (- 1) into -1 0.346 * [backup-simplify]: Simplify -1 into -1 0.346 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 0.348 * [backup-simplify]: Simplify (+ 0 0) into 0 0.348 * [backup-simplify]: Simplify (- 0) into 0 0.348 * [taylor]: Taking taylor expansion of 0 in y 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.349 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.349 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.350 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.351 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 0.351 * [backup-simplify]: Simplify (+ 0 0) into 0 0.351 * [backup-simplify]: Simplify (- 0) into 0 0.351 * [taylor]: Taking taylor expansion of 0 in y 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (+ 0 0) into 0 0.352 * [backup-simplify]: Simplify (- 0) into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (+ 0 0) into 0 0.355 * [backup-simplify]: Simplify (- 0) into 0 0.355 * [taylor]: Taking taylor expansion of 0 in y 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (+ 0 0) into 0 0.356 * [backup-simplify]: Simplify (- 0) into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.359 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [backup-simplify]: Simplify (- 0) into 0 0.359 * [taylor]: Taking taylor expansion of 0 in y 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify (+ (* (- 1.0) (* 1 (/ 1 (/ 1 (- z))))) (* -1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- z)))))) into (- (* 1.0 z) (* z y)) 0.360 * * * [progress]: simplifying candidates 0.360 * [simplify]: Simplifying: (expm1 (+ (* z 1.0) (* z (- y)))) (log1p (+ (* z 1.0) (* z (- y)))) (* (exp (* z 1.0)) (exp (* z (- y)))) (log (+ (* z 1.0) (* z (- y)))) (exp (+ (* z 1.0) (* z (- y)))) (* (cbrt (+ (* z 1.0) (* z (- y)))) (cbrt (+ (* z 1.0) (* z (- y))))) (cbrt (+ (* z 1.0) (* z (- y)))) (* (* (+ (* z 1.0) (* z (- y))) (+ (* z 1.0) (* z (- y)))) (+ (* z 1.0) (* z (- y)))) (sqrt (+ (* z 1.0) (* z (- y)))) (sqrt (+ (* z 1.0) (* z (- y)))) (+ (pow (* z 1.0) 3) (pow (* z (- y)) 3)) (+ (* (* z 1.0) (* z 1.0)) (- (* (* z (- y)) (* z (- y))) (* (* z 1.0) (* z (- y))))) (- (* (* z 1.0) (* z 1.0)) (* (* z (- y)) (* z (- y)))) (- (* z 1.0) (* z (- y))) (+ 1.0 (- y)) (- (* 1.0 z) (* z y)) (- (* 1.0 z) (* z y)) (- (* 1.0 z) (* z y)) 0.360 * [simplify]: Sending expressions to egg_math: (expm1 (+ (* h0 h1) (* h0 (- h2)))) (log1p (+ (* h0 h1) (* h0 (- h2)))) (* (exp (* h0 h1)) (exp (* h0 (- h2)))) (log (+ (* h0 h1) (* h0 (- h2)))) (exp (+ (* h0 h1) (* h0 (- h2)))) (* (cbrt (+ (* h0 h1) (* h0 (- h2)))) (cbrt (+ (* h0 h1) (* h0 (- h2))))) (cbrt (+ (* h0 h1) (* h0 (- h2)))) (* (* (+ (* h0 h1) (* h0 (- h2))) (+ (* h0 h1) (* h0 (- h2)))) (+ (* h0 h1) (* h0 (- h2)))) (sqrt (+ (* h0 h1) (* h0 (- h2)))) (sqrt (+ (* h0 h1) (* h0 (- h2)))) (+ (pow (* h0 h1) 3) (pow (* h0 (- h2)) 3)) (+ (* (* h0 h1) (* h0 h1)) (- (* (* h0 (- h2)) (* h0 (- h2))) (* (* h0 h1) (* h0 (- h2))))) (- (* (* h0 h1) (* h0 h1)) (* (* h0 (- h2)) (* h0 (- h2)))) (- (* h0 h1) (* h0 (- h2))) (+ h1 (- h2)) (- (* h1 h0) (* h0 h2)) (- (* h1 h0) (* h0 h2)) (- (* h1 h0) (* h0 h2)) 0.364 * * [simplify]: iteration 0 : 112 enodes (cost 102 ) 0.367 * * [simplify]: iteration 1 : 459 enodes (cost 80 ) 0.381 * * [simplify]: iteration 2 : 2185 enodes (cost 76 ) 0.432 * * [simplify]: iteration 3 : 5001 enodes (cost 75 ) 0.433 * * * [progress]: adding candidates to table 0.481 * [progress]: [Phase 3 of 3] Extracting. 0.481 * * [regime]: Finding splitpoints for: (# #) 0.482 * * * [regime-changes]: Trying 3 branch expressions: (z y x) 0.482 * * * * [regimes]: Trying to branch on z from (# #) 0.495 * * * * [regimes]: Trying to branch on y from (# #) 0.507 * * * * [regimes]: Trying to branch on x from (# #) 0.523 * * * [regime]: Found split indices: #