6.792 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying: (* (* (* x 3.0) x) y) 0.017 * [simplify]: Sending expressions to egg_math: (* (* (* h0 h1) h0) h2) 0.020 * * [simplify]: iteration 0 : 12 enodes (cost 3 ) 0.021 * * [simplify]: iteration 1 : 26 enodes (cost 3 ) 0.023 * * [simplify]: iteration 2 : 44 enodes (cost 3 ) 0.025 * * [simplify]: iteration 3 : 49 enodes (cost 3 ) 0.027 * * [simplify]: iteration 4 : 49 enodes (cost 3 ) 0.027 * * [progress]: iteration 1 / 4 0.028 * * * [progress]: picking best candidate 0.029 * * * * [pick]: Picked # 0.029 * * * [progress]: localizing error 0.034 * * * [progress]: generating rewritten candidates 0.034 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.091 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.110 * * * [progress]: generating series expansions 0.110 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.110 * [backup-simplify]: Simplify (* (* (* x 3.0) x) y) into (* 3.0 (* (pow x 2) y)) 0.110 * [approximate]: Taking taylor expansion of (* 3.0 (* (pow x 2) y)) in (x y) around 0 0.110 * [taylor]: Taking taylor expansion of (* 3.0 (* (pow x 2) y)) in y 0.110 * [taylor]: Taking taylor expansion of 3.0 in y 0.110 * [backup-simplify]: Simplify 3.0 into 3.0 0.110 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.111 * [taylor]: Taking taylor expansion of x in y 0.111 * [backup-simplify]: Simplify x into x 0.111 * [taylor]: Taking taylor expansion of y in y 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [taylor]: Taking taylor expansion of (* 3.0 (* (pow x 2) y)) in x 0.111 * [taylor]: Taking taylor expansion of 3.0 in x 0.111 * [backup-simplify]: Simplify 3.0 into 3.0 0.111 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [taylor]: Taking taylor expansion of y in x 0.111 * [backup-simplify]: Simplify y into y 0.111 * [taylor]: Taking taylor expansion of (* 3.0 (* (pow x 2) y)) in x 0.111 * [taylor]: Taking taylor expansion of 3.0 in x 0.111 * [backup-simplify]: Simplify 3.0 into 3.0 0.111 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [taylor]: Taking taylor expansion of y in x 0.111 * [backup-simplify]: Simplify y into y 0.112 * [backup-simplify]: Simplify (* 1 1) into 1 0.112 * [backup-simplify]: Simplify (* 1 y) into y 0.112 * [backup-simplify]: Simplify (* 3.0 y) into (* 3.0 y) 0.112 * [taylor]: Taking taylor expansion of (* 3.0 y) in y 0.112 * [taylor]: Taking taylor expansion of 3.0 in y 0.112 * [backup-simplify]: Simplify 3.0 into 3.0 0.112 * [taylor]: Taking taylor expansion of y in y 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (* 3.0 0) into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 y)) into 0 0.113 * [backup-simplify]: Simplify (+ (* 3.0 0) (* 0 y)) into 0 0.113 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (+ (* 3.0 1) (* 0 0)) into 3.0 0.114 * [backup-simplify]: Simplify 3.0 into 3.0 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 y))) into 0 0.115 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 0) (* 0 y))) into 0 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 1) (* 0 0))) into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.118 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.118 * [taylor]: Taking taylor expansion of 0 in y 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (* 3.0 (* y (pow x 2))) into (* 3.0 (* (pow x 2) y)) 0.118 * [backup-simplify]: Simplify (* (* (* (/ 1 x) 3.0) (/ 1 x)) (/ 1 y)) into (/ 3.0 (* (pow x 2) y)) 0.119 * [approximate]: Taking taylor expansion of (/ 3.0 (* (pow x 2) y)) in (x y) around 0 0.119 * [taylor]: Taking taylor expansion of (/ 3.0 (* (pow x 2) y)) in y 0.119 * [taylor]: Taking taylor expansion of 3.0 in y 0.119 * [backup-simplify]: Simplify 3.0 into 3.0 0.119 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.119 * [taylor]: Taking taylor expansion of x in y 0.119 * [backup-simplify]: Simplify x into x 0.119 * [taylor]: Taking taylor expansion of y in y 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.119 * [backup-simplify]: Simplify (* (pow x 2) 0) into 0 0.119 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.119 * [backup-simplify]: Simplify (+ (* (pow x 2) 1) (* 0 0)) into (pow x 2) 0.120 * [backup-simplify]: Simplify (/ 3.0 (pow x 2)) into (/ 3.0 (pow x 2)) 0.120 * [taylor]: Taking taylor expansion of (/ 3.0 (* (pow x 2) y)) in x 0.120 * [taylor]: Taking taylor expansion of 3.0 in x 0.120 * [backup-simplify]: Simplify 3.0 into 3.0 0.120 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [taylor]: Taking taylor expansion of y in x 0.120 * [backup-simplify]: Simplify y into y 0.120 * [backup-simplify]: Simplify (* 1 1) into 1 0.120 * [backup-simplify]: Simplify (* 1 y) into y 0.120 * [backup-simplify]: Simplify (/ 3.0 y) into (/ 3.0 y) 0.120 * [taylor]: Taking taylor expansion of (/ 3.0 (* (pow x 2) y)) in x 0.120 * [taylor]: Taking taylor expansion of 3.0 in x 0.120 * [backup-simplify]: Simplify 3.0 into 3.0 0.120 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [taylor]: Taking taylor expansion of y in x 0.120 * [backup-simplify]: Simplify y into y 0.121 * [backup-simplify]: Simplify (* 1 1) into 1 0.121 * [backup-simplify]: Simplify (* 1 y) into y 0.121 * [backup-simplify]: Simplify (/ 3.0 y) into (/ 3.0 y) 0.121 * [taylor]: Taking taylor expansion of (/ 3.0 y) in y 0.121 * [taylor]: Taking taylor expansion of 3.0 in y 0.121 * [backup-simplify]: Simplify 3.0 into 3.0 0.121 * [taylor]: Taking taylor expansion of y in y 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (/ 3.0 1) into 3.0 0.121 * [backup-simplify]: Simplify 3.0 into 3.0 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 y)) into 0 0.122 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)))) into 0 0.122 * [taylor]: Taking taylor expansion of 0 in y 0.122 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 y))) into 0 0.124 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.124 * [taylor]: Taking taylor expansion of 0 in y 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.126 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.126 * [taylor]: Taking taylor expansion of 0 in y 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (* 3.0 (* (/ 1 (/ 1 y)) (pow (/ 1 x) -2))) into (* 3.0 (* (pow x 2) y)) 0.127 * [backup-simplify]: Simplify (* (* (* (/ 1 (- x)) 3.0) (/ 1 (- x))) (/ 1 (- y))) into (/ -3.0 (* (pow x 2) y)) 0.127 * [approximate]: Taking taylor expansion of (/ -3.0 (* (pow x 2) y)) in (x y) around 0 0.127 * [taylor]: Taking taylor expansion of (/ -3.0 (* (pow x 2) y)) in y 0.127 * [taylor]: Taking taylor expansion of -3.0 in y 0.127 * [backup-simplify]: Simplify -3.0 into -3.0 0.127 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.127 * [taylor]: Taking taylor expansion of x in y 0.127 * [backup-simplify]: Simplify x into x 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 (* x x) into (pow x 2) 0.128 * [backup-simplify]: Simplify (* (pow x 2) 0) into 0 0.128 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.128 * [backup-simplify]: Simplify (+ (* (pow x 2) 1) (* 0 0)) into (pow x 2) 0.128 * [backup-simplify]: Simplify (/ -3.0 (pow x 2)) into (/ -3.0 (pow x 2)) 0.128 * [taylor]: Taking taylor expansion of (/ -3.0 (* (pow x 2) y)) in x 0.128 * [taylor]: Taking taylor expansion of -3.0 in x 0.128 * [backup-simplify]: Simplify -3.0 into -3.0 0.128 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [taylor]: Taking taylor expansion of y in x 0.128 * [backup-simplify]: Simplify y into y 0.129 * [backup-simplify]: Simplify (* 1 1) into 1 0.129 * [backup-simplify]: Simplify (* 1 y) into y 0.129 * [backup-simplify]: Simplify (/ -3.0 y) into (/ -3.0 y) 0.129 * [taylor]: Taking taylor expansion of (/ -3.0 (* (pow x 2) y)) in x 0.129 * [taylor]: Taking taylor expansion of -3.0 in x 0.129 * [backup-simplify]: Simplify -3.0 into -3.0 0.129 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.129 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [taylor]: Taking taylor expansion of y in x 0.129 * [backup-simplify]: Simplify y into y 0.129 * [backup-simplify]: Simplify (* 1 1) into 1 0.129 * [backup-simplify]: Simplify (* 1 y) into y 0.129 * [backup-simplify]: Simplify (/ -3.0 y) into (/ -3.0 y) 0.129 * [taylor]: Taking taylor expansion of (/ -3.0 y) in y 0.129 * [taylor]: Taking taylor expansion of -3.0 in y 0.129 * [backup-simplify]: Simplify -3.0 into -3.0 0.129 * [taylor]: Taking taylor expansion of y in y 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (/ -3.0 1) into -3.0 0.130 * [backup-simplify]: Simplify -3.0 into -3.0 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 y)) into 0 0.130 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -3.0 y) (/ 0 y)))) into 0 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3.0 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 y))) into 0 0.132 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -3.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.132 * [taylor]: Taking taylor expansion of 0 in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.134 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -3.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.134 * [taylor]: Taking taylor expansion of 0 in y 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (* -3.0 (* (/ 1 (/ 1 (- y))) (pow (/ 1 (- x)) -2))) into (* 3.0 (* (pow x 2) y)) 0.135 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.135 * [backup-simplify]: Simplify (* (* x 3.0) x) into (* 3.0 (pow x 2)) 0.135 * [approximate]: Taking taylor expansion of (* 3.0 (pow x 2)) in (x) around 0 0.135 * [taylor]: Taking taylor expansion of (* 3.0 (pow x 2)) in x 0.135 * [taylor]: Taking taylor expansion of 3.0 in x 0.135 * [backup-simplify]: Simplify 3.0 into 3.0 0.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [taylor]: Taking taylor expansion of (* 3.0 (pow x 2)) in x 0.136 * [taylor]: Taking taylor expansion of 3.0 in x 0.136 * [backup-simplify]: Simplify 3.0 into 3.0 0.136 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (* 1 1) into 1 0.136 * [backup-simplify]: Simplify (* 3.0 1) into 3.0 0.136 * [backup-simplify]: Simplify 3.0 into 3.0 0.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.137 * [backup-simplify]: Simplify (+ (* 3.0 0) (* 0 1)) into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.141 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 0) (* 0 1))) into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.143 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.145 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.147 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (* 3.0 (pow x 2)) into (* 3.0 (pow x 2)) 0.147 * [backup-simplify]: Simplify (* (* (/ 1 x) 3.0) (/ 1 x)) into (/ 3.0 (pow x 2)) 0.147 * [approximate]: Taking taylor expansion of (/ 3.0 (pow x 2)) in (x) around 0 0.147 * [taylor]: Taking taylor expansion of (/ 3.0 (pow x 2)) in x 0.147 * [taylor]: Taking taylor expansion of 3.0 in x 0.147 * [backup-simplify]: Simplify 3.0 into 3.0 0.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (* 1 1) into 1 0.148 * [backup-simplify]: Simplify (/ 3.0 1) into 3.0 0.148 * [taylor]: Taking taylor expansion of (/ 3.0 (pow x 2)) in x 0.148 * [taylor]: Taking taylor expansion of 3.0 in x 0.148 * [backup-simplify]: Simplify 3.0 into 3.0 0.148 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (* 1 1) into 1 0.148 * [backup-simplify]: Simplify (/ 3.0 1) into 3.0 0.148 * [backup-simplify]: Simplify 3.0 into 3.0 0.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify (* 3.0 (pow (/ 1 (/ 1 x)) 2)) into (* 3.0 (pow x 2)) 0.156 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) 3.0) (/ 1 (- x))) into (/ 3.0 (pow x 2)) 0.156 * [approximate]: Taking taylor expansion of (/ 3.0 (pow x 2)) in (x) around 0 0.156 * [taylor]: Taking taylor expansion of (/ 3.0 (pow x 2)) in x 0.156 * [taylor]: Taking taylor expansion of 3.0 in x 0.156 * [backup-simplify]: Simplify 3.0 into 3.0 0.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (* 1 1) into 1 0.157 * [backup-simplify]: Simplify (/ 3.0 1) into 3.0 0.157 * [taylor]: Taking taylor expansion of (/ 3.0 (pow x 2)) in x 0.157 * [taylor]: Taking taylor expansion of 3.0 in x 0.157 * [backup-simplify]: Simplify 3.0 into 3.0 0.157 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (* 1 1) into 1 0.157 * [backup-simplify]: Simplify (/ 3.0 1) into 3.0 0.157 * [backup-simplify]: Simplify 3.0 into 3.0 0.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (* 3.0 (pow (/ 1 (/ 1 (- x))) 2)) into (* 3.0 (pow x 2)) 0.165 * * * [progress]: simplifying candidates 0.165 * [simplify]: Simplifying: (expm1 (* (* (* x 3.0) x) y)) (log1p (* (* (* x 3.0) x) y)) (* (* (* x 3.0) x) y) (* (* (* x 3.0) x) y) (* (* (* x 3.0) x) y) (+ (+ (+ (log x) (log 3.0)) (log x)) (log y)) (+ (+ (log (* x 3.0)) (log x)) (log y)) (+ (log (* (* x 3.0) x)) (log y)) (log (* (* (* x 3.0) x) y)) (exp (* (* (* x 3.0) x) y)) (* (* (* (* (* x x) x) (* (* 3.0 3.0) 3.0)) (* (* x x) x)) (* (* y y) y)) (* (* (* (* (* x 3.0) (* x 3.0)) (* x 3.0)) (* (* x x) x)) (* (* y y) y)) (* (* (* (* (* x 3.0) x) (* (* x 3.0) x)) (* (* x 3.0) x)) (* (* y y) y)) (* (cbrt (* (* (* x 3.0) x) y)) (cbrt (* (* (* x 3.0) x) y))) (cbrt (* (* (* x 3.0) x) y)) (* (* (* (* (* x 3.0) x) y) (* (* (* x 3.0) x) y)) (* (* (* x 3.0) x) y)) (sqrt (* (* (* x 3.0) x) y)) (sqrt (* (* (* x 3.0) x) y)) (* (* (* x 3.0) x) (* (cbrt y) (cbrt y))) (* (* (* x 3.0) x) (sqrt y)) (* (* (* x 3.0) x) 1) (* x y) (expm1 (* (* x 3.0) x)) (log1p (* (* x 3.0) x)) (* (* x 3.0) x) (* (* x 3.0) x) (+ (+ (log x) (log 3.0)) (log x)) (+ (log (* x 3.0)) (log x)) (log (* (* x 3.0) x)) (exp (* (* x 3.0) x)) (* (* (* (* x x) x) (* (* 3.0 3.0) 3.0)) (* (* x x) x)) (* (* (* (* x 3.0) (* x 3.0)) (* x 3.0)) (* (* x x) x)) (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x)) (* (* (* (* x 3.0) x) (* (* x 3.0) x)) (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)) (* (* x 3.0) (* (cbrt x) (cbrt x))) (* (* x 3.0) (sqrt x)) (* (* x 3.0) 1) (* 3.0 x) (* 3.0 (* (pow x 2) y)) (* 3.0 (* (pow x 2) y)) (* 3.0 (* (pow x 2) y)) (* 3.0 (pow x 2)) (* 3.0 (pow x 2)) (* 3.0 (pow x 2)) 0.166 * [simplify]: Sending expressions to egg_math: (expm1 (* (* (* h0 h1) h0) h2)) (log1p (* (* (* h0 h1) h0) h2)) (* (* (* h0 h1) h0) h2) (* (* (* h0 h1) h0) h2) (* (* (* h0 h1) h0) h2) (+ (+ (+ (log h0) (log h1)) (log h0)) (log h2)) (+ (+ (log (* h0 h1)) (log h0)) (log h2)) (+ (log (* (* h0 h1) h0)) (log h2)) (log (* (* (* h0 h1) h0) h2)) (exp (* (* (* h0 h1) h0) h2)) (* (* (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* h0 h0) h0)) (* (* h2 h2) h2)) (* (* (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* h0 h0) h0)) (* (* h2 h2) h2)) (* (* (* (* (* h0 h1) h0) (* (* h0 h1) h0)) (* (* h0 h1) h0)) (* (* h2 h2) 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)) (* (* (* h0 h1) h0) (* (cbrt h2) (cbrt h2))) (* (* (* h0 h1) h0) (sqrt h2)) (* (* (* h0 h1) h0) 1) (* h0 h2) (expm1 (* (* h0 h1) h0)) (log1p (* (* h0 h1) h0)) (* (* h0 h1) h0) (* (* h0 h1) h0) (+ (+ (log h0) (log h1)) (log h0)) (+ (log (* h0 h1)) (log h0)) (log (* (* h0 h1) h0)) (exp (* (* h0 h1) h0)) (* (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* h0 h0) h0)) (* (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* h0 h0) h0)) (* (cbrt (* (* h0 h1) h0)) (cbrt (* (* h0 h1) h0))) (cbrt (* (* h0 h1) h0)) (* (* (* (* h0 h1) h0) (* (* h0 h1) h0)) (* (* h0 h1) h0)) (sqrt (* (* h0 h1) h0)) (sqrt (* (* h0 h1) h0)) (* (* h0 h1) (* (cbrt h0) (cbrt h0))) (* (* h0 h1) (sqrt h0)) (* (* h0 h1) 1) (* h1 h0) (* h1 (* (pow h0 2) h2)) (* h1 (* (pow h0 2) h2)) (* h1 (* (pow h0 2) h2)) (* h1 (pow h0 2)) (* h1 (pow h0 2)) (* h1 (pow h0 2)) 0.170 * * [simplify]: iteration 0 : 172 enodes (cost 202 ) 0.175 * * [simplify]: iteration 1 : 912 enodes (cost 159 ) 0.201 * * [simplify]: iteration 2 : 5002 enodes (cost 159 ) 0.203 * * * [progress]: adding candidates to table 0.267 * * [progress]: iteration 2 / 4 0.267 * * * [progress]: picking best candidate 0.284 * * * * [pick]: Picked # 0.284 * * * [progress]: localizing error 0.289 * * * [progress]: generating rewritten candidates 0.289 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.320 * * * [progress]: generating series expansions 0.320 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.321 * [backup-simplify]: Simplify (* (* x 3.0) (* x y)) into (* 3.0 (* (pow x 2) y)) 0.321 * [approximate]: Taking taylor expansion of (* 3.0 (* (pow x 2) y)) in (x y) around 0 0.321 * [taylor]: Taking taylor expansion of (* 3.0 (* (pow x 2) y)) in y 0.321 * [taylor]: Taking taylor expansion of 3.0 in y 0.321 * [backup-simplify]: Simplify 3.0 into 3.0 0.321 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.321 * [taylor]: Taking taylor expansion of x in y 0.321 * [backup-simplify]: Simplify x into x 0.321 * [taylor]: Taking taylor expansion of y in y 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [taylor]: Taking taylor expansion of (* 3.0 (* (pow x 2) y)) in x 0.321 * [taylor]: Taking taylor expansion of 3.0 in x 0.321 * [backup-simplify]: Simplify 3.0 into 3.0 0.321 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [taylor]: Taking taylor expansion of y in x 0.321 * [backup-simplify]: Simplify y into y 0.321 * [taylor]: Taking taylor expansion of (* 3.0 (* (pow x 2) y)) in x 0.321 * [taylor]: Taking taylor expansion of 3.0 in x 0.321 * [backup-simplify]: Simplify 3.0 into 3.0 0.321 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [taylor]: Taking taylor expansion of y in x 0.321 * [backup-simplify]: Simplify y into y 0.322 * [backup-simplify]: Simplify (* 1 1) into 1 0.322 * [backup-simplify]: Simplify (* 1 y) into y 0.322 * [backup-simplify]: Simplify (* 3.0 y) into (* 3.0 y) 0.322 * [taylor]: Taking taylor expansion of (* 3.0 y) in y 0.322 * [taylor]: Taking taylor expansion of 3.0 in y 0.322 * [backup-simplify]: Simplify 3.0 into 3.0 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 (* 3.0 0) into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 y)) into 0 0.323 * [backup-simplify]: Simplify (+ (* 3.0 0) (* 0 y)) into 0 0.323 * [taylor]: Taking taylor expansion of 0 in y 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify (+ (* 3.0 1) (* 0 0)) into 3.0 0.324 * [backup-simplify]: Simplify 3.0 into 3.0 0.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 y))) into 0 0.325 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 0) (* 0 y))) into 0 0.325 * [taylor]: Taking taylor expansion of 0 in y 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 1) (* 0 0))) into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.328 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.328 * [taylor]: Taking taylor expansion of 0 in y 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify (* 3.0 (* y (pow x 2))) into (* 3.0 (* (pow x 2) y)) 0.328 * [backup-simplify]: Simplify (* (* (/ 1 x) 3.0) (* (/ 1 x) (/ 1 y))) into (/ 3.0 (* (pow x 2) y)) 0.328 * [approximate]: Taking taylor expansion of (/ 3.0 (* (pow x 2) y)) in (x y) around 0 0.328 * [taylor]: Taking taylor expansion of (/ 3.0 (* (pow x 2) y)) in y 0.328 * [taylor]: Taking taylor expansion of 3.0 in y 0.329 * [backup-simplify]: Simplify 3.0 into 3.0 0.329 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.329 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.329 * [taylor]: Taking taylor expansion of x in y 0.329 * [backup-simplify]: Simplify x into x 0.329 * [taylor]: Taking taylor expansion of y in y 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.329 * [backup-simplify]: Simplify (* (pow x 2) 0) into 0 0.329 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.329 * [backup-simplify]: Simplify (+ (* (pow x 2) 1) (* 0 0)) into (pow x 2) 0.329 * [backup-simplify]: Simplify (/ 3.0 (pow x 2)) into (/ 3.0 (pow x 2)) 0.329 * [taylor]: Taking taylor expansion of (/ 3.0 (* (pow x 2) y)) in x 0.329 * [taylor]: Taking taylor expansion of 3.0 in x 0.329 * [backup-simplify]: Simplify 3.0 into 3.0 0.329 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 1 into 1 0.329 * [taylor]: Taking taylor expansion of y in x 0.329 * [backup-simplify]: Simplify y into y 0.330 * [backup-simplify]: Simplify (* 1 1) into 1 0.330 * [backup-simplify]: Simplify (* 1 y) into y 0.330 * [backup-simplify]: Simplify (/ 3.0 y) into (/ 3.0 y) 0.330 * [taylor]: Taking taylor expansion of (/ 3.0 (* (pow x 2) y)) in x 0.330 * [taylor]: Taking taylor expansion of 3.0 in x 0.330 * [backup-simplify]: Simplify 3.0 into 3.0 0.330 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [taylor]: Taking taylor expansion of y in x 0.330 * [backup-simplify]: Simplify y into y 0.330 * [backup-simplify]: Simplify (* 1 1) into 1 0.330 * [backup-simplify]: Simplify (* 1 y) into y 0.330 * [backup-simplify]: Simplify (/ 3.0 y) into (/ 3.0 y) 0.330 * [taylor]: Taking taylor expansion of (/ 3.0 y) in y 0.330 * [taylor]: Taking taylor expansion of 3.0 in y 0.330 * [backup-simplify]: Simplify 3.0 into 3.0 0.330 * [taylor]: Taking taylor expansion of y in y 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.331 * [backup-simplify]: Simplify (/ 3.0 1) into 3.0 0.331 * [backup-simplify]: Simplify 3.0 into 3.0 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 y)) into 0 0.332 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)))) into 0 0.332 * [taylor]: Taking taylor expansion of 0 in y 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 y))) into 0 0.333 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.333 * [taylor]: Taking taylor expansion of 0 in y 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.335 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.335 * [taylor]: Taking taylor expansion of 0 in y 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify (* 3.0 (* (/ 1 (/ 1 y)) (pow (/ 1 x) -2))) into (* 3.0 (* (pow x 2) y)) 0.336 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) 3.0) (* (/ 1 (- x)) (/ 1 (- y)))) into (/ -3.0 (* (pow x 2) y)) 0.336 * [approximate]: Taking taylor expansion of (/ -3.0 (* (pow x 2) y)) in (x y) around 0 0.336 * [taylor]: Taking taylor expansion of (/ -3.0 (* (pow x 2) y)) in y 0.336 * [taylor]: Taking taylor expansion of -3.0 in y 0.336 * [backup-simplify]: Simplify -3.0 into -3.0 0.336 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.336 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.336 * [taylor]: Taking taylor expansion of x in y 0.336 * [backup-simplify]: Simplify x into x 0.337 * [taylor]: Taking taylor expansion of y in y 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.337 * [backup-simplify]: Simplify (* (pow x 2) 0) into 0 0.337 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.337 * [backup-simplify]: Simplify (+ (* (pow x 2) 1) (* 0 0)) into (pow x 2) 0.337 * [backup-simplify]: Simplify (/ -3.0 (pow x 2)) into (/ -3.0 (pow x 2)) 0.337 * [taylor]: Taking taylor expansion of (/ -3.0 (* (pow x 2) y)) in x 0.337 * [taylor]: Taking taylor expansion of -3.0 in x 0.337 * [backup-simplify]: Simplify -3.0 into -3.0 0.337 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.337 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 1 into 1 0.337 * [taylor]: Taking taylor expansion of y in x 0.337 * [backup-simplify]: Simplify y into y 0.338 * [backup-simplify]: Simplify (* 1 1) into 1 0.338 * [backup-simplify]: Simplify (* 1 y) into y 0.338 * [backup-simplify]: Simplify (/ -3.0 y) into (/ -3.0 y) 0.338 * [taylor]: Taking taylor expansion of (/ -3.0 (* (pow x 2) y)) in x 0.338 * [taylor]: Taking taylor expansion of -3.0 in x 0.338 * [backup-simplify]: Simplify -3.0 into -3.0 0.338 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.338 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [taylor]: Taking taylor expansion of y in x 0.338 * [backup-simplify]: Simplify y into y 0.338 * [backup-simplify]: Simplify (* 1 1) into 1 0.338 * [backup-simplify]: Simplify (* 1 y) into y 0.338 * [backup-simplify]: Simplify (/ -3.0 y) into (/ -3.0 y) 0.338 * [taylor]: Taking taylor expansion of (/ -3.0 y) in y 0.338 * [taylor]: Taking taylor expansion of -3.0 in y 0.338 * [backup-simplify]: Simplify -3.0 into -3.0 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 (/ -3.0 1) into -3.0 0.339 * [backup-simplify]: Simplify -3.0 into -3.0 0.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 y)) into 0 0.339 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -3.0 y) (/ 0 y)))) into 0 0.340 * [taylor]: Taking taylor expansion of 0 in y 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3.0 (/ 0 1)))) into 0 0.340 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 y))) into 0 0.341 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -3.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.341 * [taylor]: Taking taylor expansion of 0 in y 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.343 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -3.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.343 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify (* -3.0 (* (/ 1 (/ 1 (- y))) (pow (/ 1 (- x)) -2))) into (* 3.0 (* (pow x 2) y)) 0.344 * * * [progress]: simplifying candidates 0.345 * [simplify]: Simplifying: (expm1 (* (* x 3.0) (* x y))) (log1p (* (* x 3.0) (* x y))) (* (* x 3.0) (* x y)) (* (* x 3.0) (* x y)) (* (* x 3.0) (* x y)) (* (* x 3.0) (* x y)) (+ (+ (log x) (log 3.0)) (+ (log x) (log y))) (+ (+ (log x) (log 3.0)) (log (* x y))) (+ (log (* x 3.0)) (+ (log x) (log y))) (+ (log (* x 3.0)) (log (* x y))) (log (* (* x 3.0) (* x y))) (exp (* (* x 3.0) (* x y))) (* (* (* (* x x) x) (* (* 3.0 3.0) 3.0)) (* (* (* x x) x) (* (* y y) y))) (* (* (* (* x x) x) (* (* 3.0 3.0) 3.0)) (* (* (* x y) (* x y)) (* x y))) (* (* (* (* x 3.0) (* x 3.0)) (* x 3.0)) (* (* (* x x) x) (* (* y y) y))) (* (* (* (* x 3.0) (* x 3.0)) (* x 3.0)) (* (* (* x y) (* x y)) (* x y))) (* (cbrt (* (* x 3.0) (* x y))) (cbrt (* (* x 3.0) (* x y)))) (cbrt (* (* x 3.0) (* x y))) (* (* (* (* x 3.0) (* x y)) (* (* x 3.0) (* x y))) (* (* x 3.0) (* x y))) (sqrt (* (* x 3.0) (* x y))) (sqrt (* (* x 3.0) (* x y))) (* (* x 3.0) x) (* 3.0 (* x y)) (* 3.0 (* (pow x 2) y)) (* 3.0 (* (pow x 2) y)) (* 3.0 (* (pow x 2) y)) 0.345 * [simplify]: Sending expressions to egg_math: (expm1 (* (* h0 h1) (* h0 h2))) (log1p (* (* h0 h1) (* h0 h2))) (* (* h0 h1) (* h0 h2)) (* (* h0 h1) (* h0 h2)) (* (* h0 h1) (* h0 h2)) (* (* h0 h1) (* h0 h2)) (+ (+ (log h0) (log h1)) (+ (log h0) (log h2))) (+ (+ (log h0) (log h1)) (log (* h0 h2))) (+ (log (* h0 h1)) (+ (log h0) (log h2))) (+ (log (* h0 h1)) (log (* h0 h2))) (log (* (* h0 h1) (* h0 h2))) (exp (* (* h0 h1) (* h0 h2))) (* (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* (* h0 h0) h0) (* (* h2 h2) h2))) (* (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* (* h0 h2) (* h0 h2)) (* h0 h2))) (* (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* (* h0 h0) h0) (* (* h2 h2) h2))) (* (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* (* h0 h2) (* h0 h2)) (* 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))) (* (* h0 h1) h0) (* h1 (* h0 h2)) (* h1 (* (pow h0 2) h2)) (* h1 (* (pow h0 2) h2)) (* h1 (* (pow h0 2) h2)) 0.348 * * [simplify]: iteration 0 : 137 enodes (cost 133 ) 0.353 * * [simplify]: iteration 1 : 626 enodes (cost 98 ) 0.371 * * [simplify]: iteration 2 : 3473 enodes (cost 98 ) 0.457 * * [simplify]: iteration 3 : 5001 enodes (cost 98 ) 0.458 * * * [progress]: adding candidates to table 0.491 * * [progress]: iteration 3 / 4 0.492 * * * [progress]: picking best candidate 0.501 * * * * [pick]: Picked # 0.501 * * * [progress]: localizing error 0.505 * * * [progress]: generating rewritten candidates 0.505 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.524 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.569 * * * [progress]: generating series expansions 0.569 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.569 * [backup-simplify]: Simplify (* 3.0 (* x y)) into (* 3.0 (* x y)) 0.569 * [approximate]: Taking taylor expansion of (* 3.0 (* x y)) in (x y) around 0 0.569 * [taylor]: Taking taylor expansion of (* 3.0 (* x y)) in y 0.569 * [taylor]: Taking taylor expansion of 3.0 in y 0.569 * [backup-simplify]: Simplify 3.0 into 3.0 0.569 * [taylor]: Taking taylor expansion of (* x y) in y 0.569 * [taylor]: Taking taylor expansion of x in y 0.569 * [backup-simplify]: Simplify x into x 0.569 * [taylor]: Taking taylor expansion of y in y 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 1 into 1 0.569 * [taylor]: Taking taylor expansion of (* 3.0 (* x y)) in x 0.569 * [taylor]: Taking taylor expansion of 3.0 in x 0.569 * [backup-simplify]: Simplify 3.0 into 3.0 0.569 * [taylor]: Taking taylor expansion of (* x y) in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 1 into 1 0.569 * [taylor]: Taking taylor expansion of y in x 0.569 * [backup-simplify]: Simplify y into y 0.569 * [taylor]: Taking taylor expansion of (* 3.0 (* x y)) in x 0.569 * [taylor]: Taking taylor expansion of 3.0 in x 0.569 * [backup-simplify]: Simplify 3.0 into 3.0 0.569 * [taylor]: Taking taylor expansion of (* x y) in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 1 into 1 0.569 * [taylor]: Taking taylor expansion of y in x 0.569 * [backup-simplify]: Simplify y into y 0.569 * [backup-simplify]: Simplify (* 0 y) into 0 0.570 * [backup-simplify]: Simplify (* 3.0 0) into 0 0.570 * [taylor]: Taking taylor expansion of 0 in y 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.571 * [backup-simplify]: Simplify (+ (* 3.0 y) (* 0 0)) into (* 3.0 y) 0.571 * [taylor]: Taking taylor expansion of (* 3.0 y) in y 0.571 * [taylor]: Taking taylor expansion of 3.0 in y 0.571 * [backup-simplify]: Simplify 3.0 into 3.0 0.571 * [taylor]: Taking taylor expansion of y in y 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 1 into 1 0.571 * [backup-simplify]: Simplify (* 3.0 0) into 0 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.572 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 y) (* 0 0))) into 0 0.572 * [taylor]: Taking taylor expansion of 0 in y 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify (+ (* 3.0 1) (* 0 0)) into 3.0 0.573 * [backup-simplify]: Simplify 3.0 into 3.0 0.573 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.574 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.574 * [taylor]: Taking taylor expansion of 0 in y 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 1) (* 0 0))) into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.577 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.577 * [taylor]: Taking taylor expansion of 0 in y 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify (* 3.0 (* y x)) into (* 3.0 (* x y)) 0.577 * [backup-simplify]: Simplify (* 3.0 (* (/ 1 x) (/ 1 y))) into (/ 3.0 (* x y)) 0.577 * [approximate]: Taking taylor expansion of (/ 3.0 (* x y)) in (x y) around 0 0.577 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in y 0.577 * [taylor]: Taking taylor expansion of 3.0 in y 0.577 * [backup-simplify]: Simplify 3.0 into 3.0 0.577 * [taylor]: Taking taylor expansion of (* x y) in y 0.577 * [taylor]: Taking taylor expansion of x in y 0.577 * [backup-simplify]: Simplify x into x 0.577 * [taylor]: Taking taylor expansion of y in y 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 1 into 1 0.577 * [backup-simplify]: Simplify (* x 0) into 0 0.577 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.578 * [backup-simplify]: Simplify (/ 3.0 x) into (/ 3.0 x) 0.578 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in x 0.578 * [taylor]: Taking taylor expansion of 3.0 in x 0.578 * [backup-simplify]: Simplify 3.0 into 3.0 0.578 * [taylor]: Taking taylor expansion of (* x y) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify 1 into 1 0.578 * [taylor]: Taking taylor expansion of y in x 0.578 * [backup-simplify]: Simplify y into y 0.578 * [backup-simplify]: Simplify (* 0 y) into 0 0.578 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.578 * [backup-simplify]: Simplify (/ 3.0 y) into (/ 3.0 y) 0.578 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in x 0.578 * [taylor]: Taking taylor expansion of 3.0 in x 0.578 * [backup-simplify]: Simplify 3.0 into 3.0 0.578 * [taylor]: Taking taylor expansion of (* x y) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify 1 into 1 0.578 * [taylor]: Taking taylor expansion of y in x 0.578 * [backup-simplify]: Simplify y into y 0.578 * [backup-simplify]: Simplify (* 0 y) into 0 0.578 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.579 * [backup-simplify]: Simplify (/ 3.0 y) into (/ 3.0 y) 0.579 * [taylor]: Taking taylor expansion of (/ 3.0 y) in y 0.579 * [taylor]: Taking taylor expansion of 3.0 in y 0.579 * [backup-simplify]: Simplify 3.0 into 3.0 0.579 * [taylor]: Taking taylor expansion of y in y 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify 1 into 1 0.579 * [backup-simplify]: Simplify (/ 3.0 1) into 3.0 0.579 * [backup-simplify]: Simplify 3.0 into 3.0 0.580 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.580 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)))) into 0 0.580 * [taylor]: Taking taylor expansion of 0 in y 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)))) into 0 0.580 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.581 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.581 * [taylor]: Taking taylor expansion of 0 in y 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.582 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.583 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.583 * [taylor]: Taking taylor expansion of 0 in y 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify (* 3.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) into (* 3.0 (* x y)) 0.584 * [backup-simplify]: Simplify (* 3.0 (* (/ 1 (- x)) (/ 1 (- y)))) into (/ 3.0 (* x y)) 0.584 * [approximate]: Taking taylor expansion of (/ 3.0 (* x y)) in (x y) around 0 0.584 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in y 0.584 * [taylor]: Taking taylor expansion of 3.0 in y 0.584 * [backup-simplify]: Simplify 3.0 into 3.0 0.584 * [taylor]: Taking taylor expansion of (* x y) in y 0.584 * [taylor]: Taking taylor expansion of x in y 0.584 * [backup-simplify]: Simplify x into x 0.584 * [taylor]: Taking taylor expansion of y in y 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 1 into 1 0.584 * [backup-simplify]: Simplify (* x 0) into 0 0.584 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.584 * [backup-simplify]: Simplify (/ 3.0 x) into (/ 3.0 x) 0.584 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in x 0.584 * [taylor]: Taking taylor expansion of 3.0 in x 0.584 * [backup-simplify]: Simplify 3.0 into 3.0 0.584 * [taylor]: Taking taylor expansion of (* x y) in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 1 into 1 0.584 * [taylor]: Taking taylor expansion of y in x 0.584 * [backup-simplify]: Simplify y into y 0.584 * [backup-simplify]: Simplify (* 0 y) into 0 0.585 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.585 * [backup-simplify]: Simplify (/ 3.0 y) into (/ 3.0 y) 0.585 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in x 0.585 * [taylor]: Taking taylor expansion of 3.0 in x 0.585 * [backup-simplify]: Simplify 3.0 into 3.0 0.585 * [taylor]: Taking taylor expansion of (* x y) in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify 1 into 1 0.585 * [taylor]: Taking taylor expansion of y in x 0.585 * [backup-simplify]: Simplify y into y 0.585 * [backup-simplify]: Simplify (* 0 y) into 0 0.585 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.585 * [backup-simplify]: Simplify (/ 3.0 y) into (/ 3.0 y) 0.585 * [taylor]: Taking taylor expansion of (/ 3.0 y) in y 0.585 * [taylor]: Taking taylor expansion of 3.0 in y 0.585 * [backup-simplify]: Simplify 3.0 into 3.0 0.585 * [taylor]: Taking taylor expansion of y in y 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify 1 into 1 0.586 * [backup-simplify]: Simplify (/ 3.0 1) into 3.0 0.586 * [backup-simplify]: Simplify 3.0 into 3.0 0.586 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.586 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)))) into 0 0.586 * [taylor]: Taking taylor expansion of 0 in y 0.586 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)))) into 0 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.588 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.588 * [taylor]: Taking taylor expansion of 0 in y 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.588 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.589 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.589 * [taylor]: Taking taylor expansion of 0 in y 0.589 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify (* 3.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) into (* 3.0 (* x y)) 0.590 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.590 * [backup-simplify]: Simplify (* x (* 3.0 (* x y))) into (* 3.0 (* (pow x 2) y)) 0.590 * [approximate]: Taking taylor expansion of (* 3.0 (* (pow x 2) y)) in (x y) around 0 0.590 * [taylor]: Taking taylor expansion of (* 3.0 (* (pow x 2) y)) in y 0.590 * [taylor]: Taking taylor expansion of 3.0 in y 0.590 * [backup-simplify]: Simplify 3.0 into 3.0 0.590 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.590 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.590 * [taylor]: Taking taylor expansion of x in y 0.590 * [backup-simplify]: Simplify x into x 0.590 * [taylor]: Taking taylor expansion of y in y 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 1 into 1 0.590 * [taylor]: Taking taylor expansion of (* 3.0 (* (pow x 2) y)) in x 0.591 * [taylor]: Taking taylor expansion of 3.0 in x 0.591 * [backup-simplify]: Simplify 3.0 into 3.0 0.591 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.591 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [taylor]: Taking taylor expansion of y in x 0.591 * [backup-simplify]: Simplify y into y 0.591 * [taylor]: Taking taylor expansion of (* 3.0 (* (pow x 2) y)) in x 0.591 * [taylor]: Taking taylor expansion of 3.0 in x 0.591 * [backup-simplify]: Simplify 3.0 into 3.0 0.591 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.591 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [taylor]: Taking taylor expansion of y in x 0.591 * [backup-simplify]: Simplify y into y 0.591 * [backup-simplify]: Simplify (* 1 1) into 1 0.591 * [backup-simplify]: Simplify (* 1 y) into y 0.591 * [backup-simplify]: Simplify (* 3.0 y) into (* 3.0 y) 0.591 * [taylor]: Taking taylor expansion of (* 3.0 y) in y 0.591 * [taylor]: Taking taylor expansion of 3.0 in y 0.591 * [backup-simplify]: Simplify 3.0 into 3.0 0.591 * [taylor]: Taking taylor expansion of y in y 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.592 * [backup-simplify]: Simplify (* 3.0 0) into 0 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 y)) into 0 0.593 * [backup-simplify]: Simplify (+ (* 3.0 0) (* 0 y)) into 0 0.593 * [taylor]: Taking taylor expansion of 0 in y 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify (+ (* 3.0 1) (* 0 0)) into 3.0 0.594 * [backup-simplify]: Simplify 3.0 into 3.0 0.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 y))) into 0 0.595 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 0) (* 0 y))) into 0 0.595 * [taylor]: Taking taylor expansion of 0 in y 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 1) (* 0 0))) into 0 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.598 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.598 * [taylor]: Taking taylor expansion of 0 in y 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify (* 3.0 (* y (pow x 2))) into (* 3.0 (* (pow x 2) y)) 0.598 * [backup-simplify]: Simplify (* (/ 1 x) (* 3.0 (* (/ 1 x) (/ 1 y)))) into (/ 3.0 (* (pow x 2) y)) 0.598 * [approximate]: Taking taylor expansion of (/ 3.0 (* (pow x 2) y)) in (x y) around 0 0.598 * [taylor]: Taking taylor expansion of (/ 3.0 (* (pow x 2) y)) in y 0.598 * [taylor]: Taking taylor expansion of 3.0 in y 0.598 * [backup-simplify]: Simplify 3.0 into 3.0 0.598 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.598 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.598 * [taylor]: Taking taylor expansion of x in y 0.598 * [backup-simplify]: Simplify x into x 0.598 * [taylor]: Taking taylor expansion of y in y 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 1 into 1 0.598 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.598 * [backup-simplify]: Simplify (* (pow x 2) 0) into 0 0.598 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.599 * [backup-simplify]: Simplify (+ (* (pow x 2) 1) (* 0 0)) into (pow x 2) 0.599 * [backup-simplify]: Simplify (/ 3.0 (pow x 2)) into (/ 3.0 (pow x 2)) 0.599 * [taylor]: Taking taylor expansion of (/ 3.0 (* (pow x 2) y)) in x 0.599 * [taylor]: Taking taylor expansion of 3.0 in x 0.599 * [backup-simplify]: Simplify 3.0 into 3.0 0.599 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.599 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.599 * [backup-simplify]: Simplify 0 into 0 0.599 * [backup-simplify]: Simplify 1 into 1 0.599 * [taylor]: Taking taylor expansion of y in x 0.599 * [backup-simplify]: Simplify y into y 0.599 * [backup-simplify]: Simplify (* 1 1) into 1 0.599 * [backup-simplify]: Simplify (* 1 y) into y 0.599 * [backup-simplify]: Simplify (/ 3.0 y) into (/ 3.0 y) 0.599 * [taylor]: Taking taylor expansion of (/ 3.0 (* (pow x 2) y)) in x 0.599 * [taylor]: Taking taylor expansion of 3.0 in x 0.600 * [backup-simplify]: Simplify 3.0 into 3.0 0.600 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.600 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 1 into 1 0.600 * [taylor]: Taking taylor expansion of y in x 0.600 * [backup-simplify]: Simplify y into y 0.600 * [backup-simplify]: Simplify (* 1 1) into 1 0.600 * [backup-simplify]: Simplify (* 1 y) into y 0.600 * [backup-simplify]: Simplify (/ 3.0 y) into (/ 3.0 y) 0.600 * [taylor]: Taking taylor expansion of (/ 3.0 y) in y 0.600 * [taylor]: Taking taylor expansion of 3.0 in y 0.600 * [backup-simplify]: Simplify 3.0 into 3.0 0.600 * [taylor]: Taking taylor expansion of y in y 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 1 into 1 0.600 * [backup-simplify]: Simplify (/ 3.0 1) into 3.0 0.600 * [backup-simplify]: Simplify 3.0 into 3.0 0.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 y)) into 0 0.601 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)))) into 0 0.601 * [taylor]: Taking taylor expansion of 0 in y 0.601 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)))) into 0 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 y))) into 0 0.603 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.603 * [taylor]: Taking taylor expansion of 0 in y 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.603 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.605 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.605 * [taylor]: Taking taylor expansion of 0 in y 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.606 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify (* 3.0 (* (/ 1 (/ 1 y)) (pow (/ 1 x) -2))) into (* 3.0 (* (pow x 2) y)) 0.606 * [backup-simplify]: Simplify (* (/ 1 (- x)) (* 3.0 (* (/ 1 (- x)) (/ 1 (- y))))) into (/ -3.0 (* (pow x 2) y)) 0.606 * [approximate]: Taking taylor expansion of (/ -3.0 (* (pow x 2) y)) in (x y) around 0 0.606 * [taylor]: Taking taylor expansion of (/ -3.0 (* (pow x 2) y)) in y 0.606 * [taylor]: Taking taylor expansion of -3.0 in y 0.606 * [backup-simplify]: Simplify -3.0 into -3.0 0.606 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.606 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.606 * [taylor]: Taking taylor expansion of x in y 0.606 * [backup-simplify]: Simplify x into x 0.606 * [taylor]: Taking taylor expansion of y in y 0.606 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify 1 into 1 0.606 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.606 * [backup-simplify]: Simplify (* (pow x 2) 0) into 0 0.606 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.607 * [backup-simplify]: Simplify (+ (* (pow x 2) 1) (* 0 0)) into (pow x 2) 0.607 * [backup-simplify]: Simplify (/ -3.0 (pow x 2)) into (/ -3.0 (pow x 2)) 0.607 * [taylor]: Taking taylor expansion of (/ -3.0 (* (pow x 2) y)) in x 0.607 * [taylor]: Taking taylor expansion of -3.0 in x 0.607 * [backup-simplify]: Simplify -3.0 into -3.0 0.607 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.607 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify 1 into 1 0.607 * [taylor]: Taking taylor expansion of y in x 0.607 * [backup-simplify]: Simplify y into y 0.607 * [backup-simplify]: Simplify (* 1 1) into 1 0.607 * [backup-simplify]: Simplify (* 1 y) into y 0.607 * [backup-simplify]: Simplify (/ -3.0 y) into (/ -3.0 y) 0.607 * [taylor]: Taking taylor expansion of (/ -3.0 (* (pow x 2) y)) in x 0.607 * [taylor]: Taking taylor expansion of -3.0 in x 0.608 * [backup-simplify]: Simplify -3.0 into -3.0 0.608 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.608 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.608 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify 1 into 1 0.608 * [taylor]: Taking taylor expansion of y in x 0.608 * [backup-simplify]: Simplify y into y 0.608 * [backup-simplify]: Simplify (* 1 1) into 1 0.608 * [backup-simplify]: Simplify (* 1 y) into y 0.608 * [backup-simplify]: Simplify (/ -3.0 y) into (/ -3.0 y) 0.608 * [taylor]: Taking taylor expansion of (/ -3.0 y) in y 0.608 * [taylor]: Taking taylor expansion of -3.0 in y 0.608 * [backup-simplify]: Simplify -3.0 into -3.0 0.608 * [taylor]: Taking taylor expansion of y in y 0.608 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify 1 into 1 0.608 * [backup-simplify]: Simplify (/ -3.0 1) into -3.0 0.608 * [backup-simplify]: Simplify -3.0 into -3.0 0.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 y)) into 0 0.609 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -3.0 y) (/ 0 y)))) into 0 0.609 * [taylor]: Taking taylor expansion of 0 in y 0.609 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3.0 (/ 0 1)))) into 0 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 y))) into 0 0.611 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -3.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.611 * [taylor]: Taking taylor expansion of 0 in y 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.613 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -3.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.613 * [taylor]: Taking taylor expansion of 0 in y 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify (* -3.0 (* (/ 1 (/ 1 (- y))) (pow (/ 1 (- x)) -2))) into (* 3.0 (* (pow x 2) y)) 0.614 * * * [progress]: simplifying candidates 0.615 * [simplify]: Simplifying: (expm1 (* 3.0 (* x y))) (log1p (* 3.0 (* x y))) (* 3.0 (* x y)) (* 3.0 (* x y)) (+ (log 3.0) (+ (log x) (log y))) (+ (log 3.0) (log (* x y))) (log (* 3.0 (* x y))) (exp (* 3.0 (* x y))) (* (* (* 3.0 3.0) 3.0) (* (* (* x x) x) (* (* y y) y))) (* (* (* 3.0 3.0) 3.0) (* (* (* x y) (* x y)) (* x y))) (* (cbrt (* 3.0 (* x y))) (cbrt (* 3.0 (* x y)))) (cbrt (* 3.0 (* x y))) (* (* (* 3.0 (* x y)) (* 3.0 (* x y))) (* 3.0 (* x y))) (sqrt (* 3.0 (* x y))) (sqrt (* 3.0 (* x y))) (* 3.0 x) (* (cbrt 3.0) (* x y)) (* (sqrt 3.0) (* x y)) (* 3.0 (* x y)) (expm1 (* x (* 3.0 (* x y)))) (log1p (* x (* 3.0 (* x y)))) (* x (* 3.0 (* x y))) (* x (* 3.0 (* x y))) (* x (* 3.0 (* x y))) (+ (log x) (+ (log 3.0) (+ (log x) (log y)))) (+ (log x) (+ (log 3.0) (log (* x y)))) (+ (log x) (log (* 3.0 (* x y)))) (log (* x (* 3.0 (* x y)))) (exp (* x (* 3.0 (* x y)))) (* (* (* x x) x) (* (* (* 3.0 3.0) 3.0) (* (* (* x x) x) (* (* y y) y)))) (* (* (* x x) x) (* (* (* 3.0 3.0) 3.0) (* (* (* x y) (* x y)) (* x y)))) (* (* (* x x) x) (* (* (* 3.0 (* x y)) (* 3.0 (* x y))) (* 3.0 (* x y)))) (* (cbrt (* x (* 3.0 (* x y)))) (cbrt (* x (* 3.0 (* x y))))) (cbrt (* x (* 3.0 (* x y)))) (* (* (* x (* 3.0 (* x y))) (* x (* 3.0 (* x y)))) (* x (* 3.0 (* x y)))) (sqrt (* x (* 3.0 (* x y)))) (sqrt (* x (* 3.0 (* x y)))) (* x 3.0) (* (cbrt x) (* 3.0 (* x y))) (* (sqrt x) (* 3.0 (* x y))) (* x (* 3.0 (* x y))) (* 3.0 (* x y)) (* 3.0 (* x y)) (* 3.0 (* x y)) (* 3.0 (* (pow x 2) y)) (* 3.0 (* (pow x 2) y)) (* 3.0 (* (pow x 2) y)) 0.615 * [simplify]: Sending expressions to egg_math: (expm1 (* h0 (* h1 h2))) (log1p (* h0 (* h1 h2))) (* h0 (* h1 h2)) (* h0 (* h1 h2)) (+ (log h0) (+ (log h1) (log h2))) (+ (log h0) (log (* h1 h2))) (log (* h0 (* h1 h2))) (exp (* h0 (* h1 h2))) (* (* (* h0 h0) h0) (* (* (* h1 h1) h1) (* (* h2 h2) 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))) (* h0 h1) (* (cbrt h0) (* h1 h2)) (* (sqrt h0) (* h1 h2)) (* h0 (* h1 h2)) (expm1 (* h1 (* h0 (* h1 h2)))) (log1p (* h1 (* h0 (* h1 h2)))) (* h1 (* h0 (* h1 h2))) (* h1 (* h0 (* h1 h2))) (* h1 (* h0 (* h1 h2))) (+ (log h1) (+ (log h0) (+ (log h1) (log h2)))) (+ (log h1) (+ (log h0) (log (* h1 h2)))) (+ (log h1) (log (* h0 (* h1 h2)))) (log (* h1 (* h0 (* h1 h2)))) (exp (* h1 (* h0 (* h1 h2)))) (* (* (* h1 h1) h1) (* (* (* h0 h0) h0) (* (* (* h1 h1) h1) (* (* h2 h2) h2)))) (* (* (* h1 h1) h1) (* (* (* h0 h0) h0) (* (* (* h1 h2) (* h1 h2)) (* h1 h2)))) (* (* (* h1 h1) h1) (* (* (* h0 (* h1 h2)) (* h0 (* h1 h2))) (* h0 (* h1 h2)))) (* (cbrt (* h1 (* h0 (* h1 h2)))) (cbrt (* h1 (* h0 (* h1 h2))))) (cbrt (* h1 (* h0 (* h1 h2)))) (* (* (* h1 (* h0 (* h1 h2))) (* h1 (* h0 (* h1 h2)))) (* h1 (* h0 (* h1 h2)))) (sqrt (* h1 (* h0 (* h1 h2)))) (sqrt (* h1 (* h0 (* h1 h2)))) (* h1 h0) (* (cbrt h1) (* h0 (* h1 h2))) (* (sqrt h1) (* h0 (* h1 h2))) (* h1 (* h0 (* h1 h2))) (* h0 (* h1 h2)) (* h0 (* h1 h2)) (* h0 (* h1 h2)) (* h0 (* (pow h1 2) h2)) (* h0 (* (pow h1 2) h2)) (* h0 (* (pow h1 2) h2)) 0.619 * * [simplify]: iteration 0 : 158 enodes (cost 200 ) 0.623 * * [simplify]: iteration 1 : 663 enodes (cost 157 ) 0.643 * * [simplify]: iteration 2 : 3700 enodes (cost 157 ) 0.731 * * [simplify]: iteration 3 : 5001 enodes (cost 157 ) 0.733 * * * [progress]: adding candidates to table 0.799 * * [progress]: iteration 4 / 4 0.799 * * * [progress]: picking best candidate 0.814 * * * * [pick]: Picked # 0.814 * * * [progress]: localizing error 0.819 * * * [progress]: generating rewritten candidates 0.819 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.837 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.886 * * * [progress]: generating series expansions 0.886 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.886 * [backup-simplify]: Simplify (* (* 3.0 x) y) into (* 3.0 (* x y)) 0.886 * [approximate]: Taking taylor expansion of (* 3.0 (* x y)) in (x y) around 0 0.886 * [taylor]: Taking taylor expansion of (* 3.0 (* x y)) in y 0.886 * [taylor]: Taking taylor expansion of 3.0 in y 0.886 * [backup-simplify]: Simplify 3.0 into 3.0 0.886 * [taylor]: Taking taylor expansion of (* x y) in y 0.886 * [taylor]: Taking taylor expansion of x in y 0.886 * [backup-simplify]: Simplify x into x 0.886 * [taylor]: Taking taylor expansion of y in y 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify 1 into 1 0.886 * [taylor]: Taking taylor expansion of (* 3.0 (* x y)) in x 0.886 * [taylor]: Taking taylor expansion of 3.0 in x 0.886 * [backup-simplify]: Simplify 3.0 into 3.0 0.886 * [taylor]: Taking taylor expansion of (* x y) in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify 1 into 1 0.886 * [taylor]: Taking taylor expansion of y in x 0.886 * [backup-simplify]: Simplify y into y 0.886 * [taylor]: Taking taylor expansion of (* 3.0 (* x y)) in x 0.886 * [taylor]: Taking taylor expansion of 3.0 in x 0.886 * [backup-simplify]: Simplify 3.0 into 3.0 0.886 * [taylor]: Taking taylor expansion of (* x y) in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify 1 into 1 0.886 * [taylor]: Taking taylor expansion of y in x 0.886 * [backup-simplify]: Simplify y into y 0.886 * [backup-simplify]: Simplify (* 0 y) into 0 0.887 * [backup-simplify]: Simplify (* 3.0 0) into 0 0.887 * [taylor]: Taking taylor expansion of 0 in y 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.887 * [backup-simplify]: Simplify (+ (* 3.0 y) (* 0 0)) into (* 3.0 y) 0.887 * [taylor]: Taking taylor expansion of (* 3.0 y) in y 0.887 * [taylor]: Taking taylor expansion of 3.0 in y 0.888 * [backup-simplify]: Simplify 3.0 into 3.0 0.888 * [taylor]: Taking taylor expansion of y in y 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify 1 into 1 0.888 * [backup-simplify]: Simplify (* 3.0 0) into 0 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.889 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 y) (* 0 0))) into 0 0.889 * [taylor]: Taking taylor expansion of 0 in y 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify 0 into 0 0.890 * [backup-simplify]: Simplify (+ (* 3.0 1) (* 0 0)) into 3.0 0.890 * [backup-simplify]: Simplify 3.0 into 3.0 0.890 * [backup-simplify]: Simplify 0 into 0 0.890 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.891 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.891 * [taylor]: Taking taylor expansion of 0 in y 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 1) (* 0 0))) into 0 0.892 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.894 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.894 * [taylor]: Taking taylor expansion of 0 in y 0.894 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify (* 3.0 (* y x)) into (* 3.0 (* x y)) 0.894 * [backup-simplify]: Simplify (* (* 3.0 (/ 1 x)) (/ 1 y)) into (/ 3.0 (* x y)) 0.894 * [approximate]: Taking taylor expansion of (/ 3.0 (* x y)) in (x y) around 0 0.894 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in y 0.894 * [taylor]: Taking taylor expansion of 3.0 in y 0.894 * [backup-simplify]: Simplify 3.0 into 3.0 0.894 * [taylor]: Taking taylor expansion of (* x y) in y 0.894 * [taylor]: Taking taylor expansion of x in y 0.894 * [backup-simplify]: Simplify x into x 0.894 * [taylor]: Taking taylor expansion of y in y 0.894 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify 1 into 1 0.894 * [backup-simplify]: Simplify (* x 0) into 0 0.895 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.895 * [backup-simplify]: Simplify (/ 3.0 x) into (/ 3.0 x) 0.895 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in x 0.895 * [taylor]: Taking taylor expansion of 3.0 in x 0.895 * [backup-simplify]: Simplify 3.0 into 3.0 0.895 * [taylor]: Taking taylor expansion of (* x y) in x 0.895 * [taylor]: Taking taylor expansion of x in x 0.895 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify 1 into 1 0.895 * [taylor]: Taking taylor expansion of y in x 0.895 * [backup-simplify]: Simplify y into y 0.895 * [backup-simplify]: Simplify (* 0 y) into 0 0.895 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.895 * [backup-simplify]: Simplify (/ 3.0 y) into (/ 3.0 y) 0.895 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in x 0.895 * [taylor]: Taking taylor expansion of 3.0 in x 0.895 * [backup-simplify]: Simplify 3.0 into 3.0 0.895 * [taylor]: Taking taylor expansion of (* x y) in x 0.895 * [taylor]: Taking taylor expansion of x in x 0.895 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify 1 into 1 0.895 * [taylor]: Taking taylor expansion of y in x 0.895 * [backup-simplify]: Simplify y into y 0.895 * [backup-simplify]: Simplify (* 0 y) into 0 0.896 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.896 * [backup-simplify]: Simplify (/ 3.0 y) into (/ 3.0 y) 0.896 * [taylor]: Taking taylor expansion of (/ 3.0 y) in y 0.896 * [taylor]: Taking taylor expansion of 3.0 in y 0.896 * [backup-simplify]: Simplify 3.0 into 3.0 0.896 * [taylor]: Taking taylor expansion of y in y 0.896 * [backup-simplify]: Simplify 0 into 0 0.896 * [backup-simplify]: Simplify 1 into 1 0.896 * [backup-simplify]: Simplify (/ 3.0 1) into 3.0 0.896 * [backup-simplify]: Simplify 3.0 into 3.0 0.897 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.897 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)))) into 0 0.897 * [taylor]: Taking taylor expansion of 0 in y 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)))) into 0 0.897 * [backup-simplify]: Simplify 0 into 0 0.898 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.898 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.898 * [taylor]: Taking taylor expansion of 0 in y 0.898 * [backup-simplify]: Simplify 0 into 0 0.898 * [backup-simplify]: Simplify 0 into 0 0.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.899 * [backup-simplify]: Simplify 0 into 0 0.900 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.900 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.900 * [taylor]: Taking taylor expansion of 0 in y 0.900 * [backup-simplify]: Simplify 0 into 0 0.900 * [backup-simplify]: Simplify 0 into 0 0.900 * [backup-simplify]: Simplify 0 into 0 0.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.900 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify (* 3.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) into (* 3.0 (* x y)) 0.901 * [backup-simplify]: Simplify (* (* 3.0 (/ 1 (- x))) (/ 1 (- y))) into (/ 3.0 (* x y)) 0.901 * [approximate]: Taking taylor expansion of (/ 3.0 (* x y)) in (x y) around 0 0.901 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in y 0.901 * [taylor]: Taking taylor expansion of 3.0 in y 0.901 * [backup-simplify]: Simplify 3.0 into 3.0 0.901 * [taylor]: Taking taylor expansion of (* x y) in y 0.901 * [taylor]: Taking taylor expansion of x in y 0.901 * [backup-simplify]: Simplify x into x 0.901 * [taylor]: Taking taylor expansion of y in y 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify 1 into 1 0.901 * [backup-simplify]: Simplify (* x 0) into 0 0.901 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.901 * [backup-simplify]: Simplify (/ 3.0 x) into (/ 3.0 x) 0.901 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in x 0.901 * [taylor]: Taking taylor expansion of 3.0 in x 0.901 * [backup-simplify]: Simplify 3.0 into 3.0 0.901 * [taylor]: Taking taylor expansion of (* x y) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify 1 into 1 0.901 * [taylor]: Taking taylor expansion of y in x 0.901 * [backup-simplify]: Simplify y into y 0.901 * [backup-simplify]: Simplify (* 0 y) into 0 0.902 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.902 * [backup-simplify]: Simplify (/ 3.0 y) into (/ 3.0 y) 0.902 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in x 0.902 * [taylor]: Taking taylor expansion of 3.0 in x 0.902 * [backup-simplify]: Simplify 3.0 into 3.0 0.902 * [taylor]: Taking taylor expansion of (* x y) in x 0.902 * [taylor]: Taking taylor expansion of x in x 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify 1 into 1 0.902 * [taylor]: Taking taylor expansion of y in x 0.902 * [backup-simplify]: Simplify y into y 0.902 * [backup-simplify]: Simplify (* 0 y) into 0 0.902 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.902 * [backup-simplify]: Simplify (/ 3.0 y) into (/ 3.0 y) 0.902 * [taylor]: Taking taylor expansion of (/ 3.0 y) in y 0.902 * [taylor]: Taking taylor expansion of 3.0 in y 0.902 * [backup-simplify]: Simplify 3.0 into 3.0 0.902 * [taylor]: Taking taylor expansion of y in y 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify 1 into 1 0.903 * [backup-simplify]: Simplify (/ 3.0 1) into 3.0 0.903 * [backup-simplify]: Simplify 3.0 into 3.0 0.903 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.903 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)))) into 0 0.903 * [taylor]: Taking taylor expansion of 0 in y 0.903 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)))) into 0 0.904 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.905 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.905 * [taylor]: Taking taylor expansion of 0 in y 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.905 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.906 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.906 * [taylor]: Taking taylor expansion of 0 in y 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify (* 3.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) into (* 3.0 (* x y)) 0.907 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.907 * [backup-simplify]: Simplify (* x (* (* 3.0 x) y)) into (* 3.0 (* (pow x 2) y)) 0.907 * [approximate]: Taking taylor expansion of (* 3.0 (* (pow x 2) y)) in (x y) around 0 0.907 * [taylor]: Taking taylor expansion of (* 3.0 (* (pow x 2) y)) in y 0.907 * [taylor]: Taking taylor expansion of 3.0 in y 0.907 * [backup-simplify]: Simplify 3.0 into 3.0 0.907 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.907 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.907 * [taylor]: Taking taylor expansion of x in y 0.907 * [backup-simplify]: Simplify x into x 0.907 * [taylor]: Taking taylor expansion of y in y 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify 1 into 1 0.908 * [taylor]: Taking taylor expansion of (* 3.0 (* (pow x 2) y)) in x 0.908 * [taylor]: Taking taylor expansion of 3.0 in x 0.908 * [backup-simplify]: Simplify 3.0 into 3.0 0.908 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.908 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify 1 into 1 0.908 * [taylor]: Taking taylor expansion of y in x 0.908 * [backup-simplify]: Simplify y into y 0.908 * [taylor]: Taking taylor expansion of (* 3.0 (* (pow x 2) y)) in x 0.908 * [taylor]: Taking taylor expansion of 3.0 in x 0.908 * [backup-simplify]: Simplify 3.0 into 3.0 0.908 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.908 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify 1 into 1 0.908 * [taylor]: Taking taylor expansion of y in x 0.908 * [backup-simplify]: Simplify y into y 0.908 * [backup-simplify]: Simplify (* 1 1) into 1 0.908 * [backup-simplify]: Simplify (* 1 y) into y 0.908 * [backup-simplify]: Simplify (* 3.0 y) into (* 3.0 y) 0.908 * [taylor]: Taking taylor expansion of (* 3.0 y) in y 0.908 * [taylor]: Taking taylor expansion of 3.0 in y 0.908 * [backup-simplify]: Simplify 3.0 into 3.0 0.908 * [taylor]: Taking taylor expansion of y in y 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify 1 into 1 0.909 * [backup-simplify]: Simplify (* 3.0 0) into 0 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 y)) into 0 0.910 * [backup-simplify]: Simplify (+ (* 3.0 0) (* 0 y)) into 0 0.910 * [taylor]: Taking taylor expansion of 0 in y 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify 0 into 0 0.911 * [backup-simplify]: Simplify (+ (* 3.0 1) (* 0 0)) into 3.0 0.911 * [backup-simplify]: Simplify 3.0 into 3.0 0.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 y))) into 0 0.912 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 0) (* 0 y))) into 0 0.912 * [taylor]: Taking taylor expansion of 0 in y 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 1) (* 0 0))) into 0 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.915 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.915 * [taylor]: Taking taylor expansion of 0 in y 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify (* 3.0 (* y (pow x 2))) into (* 3.0 (* (pow x 2) y)) 0.915 * [backup-simplify]: Simplify (* (/ 1 x) (* (* 3.0 (/ 1 x)) (/ 1 y))) into (/ 3.0 (* (pow x 2) y)) 0.915 * [approximate]: Taking taylor expansion of (/ 3.0 (* (pow x 2) y)) in (x y) around 0 0.915 * [taylor]: Taking taylor expansion of (/ 3.0 (* (pow x 2) y)) in y 0.915 * [taylor]: Taking taylor expansion of 3.0 in y 0.915 * [backup-simplify]: Simplify 3.0 into 3.0 0.915 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.915 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.915 * [taylor]: Taking taylor expansion of x in y 0.915 * [backup-simplify]: Simplify x into x 0.915 * [taylor]: Taking taylor expansion of y in y 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify 1 into 1 0.915 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.915 * [backup-simplify]: Simplify (* (pow x 2) 0) into 0 0.915 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.916 * [backup-simplify]: Simplify (+ (* (pow x 2) 1) (* 0 0)) into (pow x 2) 0.916 * [backup-simplify]: Simplify (/ 3.0 (pow x 2)) into (/ 3.0 (pow x 2)) 0.916 * [taylor]: Taking taylor expansion of (/ 3.0 (* (pow x 2) y)) in x 0.916 * [taylor]: Taking taylor expansion of 3.0 in x 0.916 * [backup-simplify]: Simplify 3.0 into 3.0 0.916 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.916 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify 1 into 1 0.916 * [taylor]: Taking taylor expansion of y in x 0.916 * [backup-simplify]: Simplify y into y 0.916 * [backup-simplify]: Simplify (* 1 1) into 1 0.916 * [backup-simplify]: Simplify (* 1 y) into y 0.916 * [backup-simplify]: Simplify (/ 3.0 y) into (/ 3.0 y) 0.916 * [taylor]: Taking taylor expansion of (/ 3.0 (* (pow x 2) y)) in x 0.916 * [taylor]: Taking taylor expansion of 3.0 in x 0.916 * [backup-simplify]: Simplify 3.0 into 3.0 0.916 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.916 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify 1 into 1 0.917 * [taylor]: Taking taylor expansion of y in x 0.917 * [backup-simplify]: Simplify y into y 0.917 * [backup-simplify]: Simplify (* 1 1) into 1 0.917 * [backup-simplify]: Simplify (* 1 y) into y 0.917 * [backup-simplify]: Simplify (/ 3.0 y) into (/ 3.0 y) 0.917 * [taylor]: Taking taylor expansion of (/ 3.0 y) in y 0.917 * [taylor]: Taking taylor expansion of 3.0 in y 0.917 * [backup-simplify]: Simplify 3.0 into 3.0 0.917 * [taylor]: Taking taylor expansion of y in y 0.917 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify 1 into 1 0.917 * [backup-simplify]: Simplify (/ 3.0 1) into 3.0 0.917 * [backup-simplify]: Simplify 3.0 into 3.0 0.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 y)) into 0 0.918 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)))) into 0 0.918 * [taylor]: Taking taylor expansion of 0 in y 0.918 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)))) into 0 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 y))) into 0 0.920 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.920 * [taylor]: Taking taylor expansion of 0 in y 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.920 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.922 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.922 * [taylor]: Taking taylor expansion of 0 in y 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.923 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify (* 3.0 (* (/ 1 (/ 1 y)) (pow (/ 1 x) -2))) into (* 3.0 (* (pow x 2) y)) 0.923 * [backup-simplify]: Simplify (* (/ 1 (- x)) (* (* 3.0 (/ 1 (- x))) (/ 1 (- y)))) into (/ -3.0 (* (pow x 2) y)) 0.923 * [approximate]: Taking taylor expansion of (/ -3.0 (* (pow x 2) y)) in (x y) around 0 0.923 * [taylor]: Taking taylor expansion of (/ -3.0 (* (pow x 2) y)) in y 0.923 * [taylor]: Taking taylor expansion of -3.0 in y 0.923 * [backup-simplify]: Simplify -3.0 into -3.0 0.923 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.923 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.923 * [taylor]: Taking taylor expansion of x in y 0.923 * [backup-simplify]: Simplify x into x 0.923 * [taylor]: Taking taylor expansion of y in y 0.923 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify 1 into 1 0.923 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.923 * [backup-simplify]: Simplify (* (pow x 2) 0) into 0 0.923 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.924 * [backup-simplify]: Simplify (+ (* (pow x 2) 1) (* 0 0)) into (pow x 2) 0.924 * [backup-simplify]: Simplify (/ -3.0 (pow x 2)) into (/ -3.0 (pow x 2)) 0.924 * [taylor]: Taking taylor expansion of (/ -3.0 (* (pow x 2) y)) in x 0.924 * [taylor]: Taking taylor expansion of -3.0 in x 0.924 * [backup-simplify]: Simplify -3.0 into -3.0 0.924 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.924 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify 1 into 1 0.924 * [taylor]: Taking taylor expansion of y in x 0.924 * [backup-simplify]: Simplify y into y 0.924 * [backup-simplify]: Simplify (* 1 1) into 1 0.924 * [backup-simplify]: Simplify (* 1 y) into y 0.924 * [backup-simplify]: Simplify (/ -3.0 y) into (/ -3.0 y) 0.924 * [taylor]: Taking taylor expansion of (/ -3.0 (* (pow x 2) y)) in x 0.925 * [taylor]: Taking taylor expansion of -3.0 in x 0.925 * [backup-simplify]: Simplify -3.0 into -3.0 0.925 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.925 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify 1 into 1 0.925 * [taylor]: Taking taylor expansion of y in x 0.925 * [backup-simplify]: Simplify y into y 0.925 * [backup-simplify]: Simplify (* 1 1) into 1 0.925 * [backup-simplify]: Simplify (* 1 y) into y 0.925 * [backup-simplify]: Simplify (/ -3.0 y) into (/ -3.0 y) 0.925 * [taylor]: Taking taylor expansion of (/ -3.0 y) in y 0.925 * [taylor]: Taking taylor expansion of -3.0 in y 0.925 * [backup-simplify]: Simplify -3.0 into -3.0 0.925 * [taylor]: Taking taylor expansion of y in y 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify 1 into 1 0.925 * [backup-simplify]: Simplify (/ -3.0 1) into -3.0 0.925 * [backup-simplify]: Simplify -3.0 into -3.0 0.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 y)) into 0 0.926 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -3.0 y) (/ 0 y)))) into 0 0.926 * [taylor]: Taking taylor expansion of 0 in y 0.926 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3.0 (/ 0 1)))) into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 y))) into 0 0.928 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -3.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.928 * [taylor]: Taking taylor expansion of 0 in y 0.928 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.930 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -3.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.930 * [taylor]: Taking taylor expansion of 0 in y 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify (* -3.0 (* (/ 1 (/ 1 (- y))) (pow (/ 1 (- x)) -2))) into (* 3.0 (* (pow x 2) y)) 0.931 * * * [progress]: simplifying candidates 0.932 * [simplify]: Simplifying: (expm1 (* (* 3.0 x) y)) (log1p (* (* 3.0 x) y)) (* (* 3.0 x) y) (* (* 3.0 x) y) (+ (+ (log 3.0) (log x)) (log y)) (+ (log (* 3.0 x)) (log y)) (log (* (* 3.0 x) y)) (exp (* (* 3.0 x) y)) (* (* (* (* 3.0 3.0) 3.0) (* (* x x) x)) (* (* y y) y)) (* (* (* (* 3.0 x) (* 3.0 x)) (* 3.0 x)) (* (* y y) y)) (* (cbrt (* (* 3.0 x) y)) (cbrt (* (* 3.0 x) y))) (cbrt (* (* 3.0 x) y)) (* (* (* (* 3.0 x) y) (* (* 3.0 x) y)) (* (* 3.0 x) y)) (sqrt (* (* 3.0 x) y)) (sqrt (* (* 3.0 x) y)) (* (* 3.0 x) (* (cbrt y) (cbrt y))) (* (* 3.0 x) (sqrt y)) (* (* 3.0 x) 1) (* x y) (expm1 (* x (* (* 3.0 x) y))) (log1p (* x (* (* 3.0 x) y))) (* x (* (* 3.0 x) y)) (* x (* (* 3.0 x) y)) (* x (* (* 3.0 x) y)) (+ (log x) (+ (+ (log 3.0) (log x)) (log y))) (+ (log x) (+ (log (* 3.0 x)) (log y))) (+ (log x) (log (* (* 3.0 x) y))) (log (* x (* (* 3.0 x) y))) (exp (* x (* (* 3.0 x) y))) (* (* (* x x) x) (* (* (* (* 3.0 3.0) 3.0) (* (* x x) x)) (* (* y y) y))) (* (* (* x x) x) (* (* (* (* 3.0 x) (* 3.0 x)) (* 3.0 x)) (* (* y y) y))) (* (* (* x x) x) (* (* (* (* 3.0 x) y) (* (* 3.0 x) y)) (* (* 3.0 x) y))) (* (cbrt (* x (* (* 3.0 x) y))) (cbrt (* x (* (* 3.0 x) y)))) (cbrt (* x (* (* 3.0 x) y))) (* (* (* x (* (* 3.0 x) y)) (* x (* (* 3.0 x) y))) (* x (* (* 3.0 x) y))) (sqrt (* x (* (* 3.0 x) y))) (sqrt (* x (* (* 3.0 x) y))) (* x (* 3.0 x)) (* (cbrt x) (* (* 3.0 x) y)) (* (sqrt x) (* (* 3.0 x) y)) (* x (* (* 3.0 x) y)) (* 3.0 (* x y)) (* 3.0 (* x y)) (* 3.0 (* x y)) (* 3.0 (* (pow x 2) y)) (* 3.0 (* (pow x 2) y)) (* 3.0 (* (pow x 2) y)) 0.932 * [simplify]: Sending expressions to egg_math: (expm1 (* (* h0 h1) h2)) (log1p (* (* h0 h1) h2)) (* (* h0 h1) h2) (* (* h0 h1) h2) (+ (+ (log h0) (log h1)) (log h2)) (+ (log (* h0 h1)) (log h2)) (log (* (* h0 h1) h2)) (exp (* (* h0 h1) h2)) (* (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* h2 h2) h2)) (* (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* h2 h2) 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)) (* (* h0 h1) (* (cbrt h2) (cbrt h2))) (* (* h0 h1) (sqrt h2)) (* (* h0 h1) 1) (* h1 h2) (expm1 (* h1 (* (* h0 h1) h2))) (log1p (* h1 (* (* h0 h1) h2))) (* h1 (* (* h0 h1) h2)) (* h1 (* (* h0 h1) h2)) (* h1 (* (* h0 h1) h2)) (+ (log h1) (+ (+ (log h0) (log h1)) (log h2))) (+ (log h1) (+ (log (* h0 h1)) (log h2))) (+ (log h1) (log (* (* h0 h1) h2))) (log (* h1 (* (* h0 h1) h2))) (exp (* h1 (* (* h0 h1) h2))) (* (* (* h1 h1) h1) (* (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* h2 h2) h2))) (* (* (* h1 h1) h1) (* (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* h2 h2) h2))) (* (* (* h1 h1) h1) (* (* (* (* h0 h1) h2) (* (* h0 h1) h2)) (* (* h0 h1) h2))) (* (cbrt (* h1 (* (* h0 h1) h2))) (cbrt (* h1 (* (* h0 h1) h2)))) (cbrt (* h1 (* (* h0 h1) h2))) (* (* (* h1 (* (* h0 h1) h2)) (* h1 (* (* h0 h1) h2))) (* h1 (* (* h0 h1) h2))) (sqrt (* h1 (* (* h0 h1) h2))) (sqrt (* h1 (* (* h0 h1) h2))) (* h1 (* h0 h1)) (* (cbrt h1) (* (* h0 h1) h2)) (* (sqrt h1) (* (* h0 h1) h2)) (* h1 (* (* h0 h1) h2)) (* h0 (* h1 h2)) (* h0 (* h1 h2)) (* h0 (* h1 h2)) (* h0 (* (pow h1 2) h2)) (* h0 (* (pow h1 2) h2)) (* h0 (* (pow h1 2) h2)) 0.936 * * [simplify]: iteration 0 : 174 enodes (cost 202 ) 0.942 * * [simplify]: iteration 1 : 892 enodes (cost 159 ) 0.969 * * [simplify]: iteration 2 : 5002 enodes (cost 159 ) 0.970 * * * [progress]: adding candidates to table 1.040 * [progress]: [Phase 3 of 3] Extracting. 1.040 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 1.041 * * * [regime-changes]: Trying 3 branch expressions: ((* (* x 3.0) x) y x) 1.041 * * * * [regimes]: Trying to branch on (* (* x 3.0) x) from (# # # # # # # # # #) 1.069 * * * * [regimes]: Trying to branch on (* (* x 3.0) x) from (# #) 1.080 * * * * [regimes]: Trying to branch on y from (# # # # # # # # # #) 1.112 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # #) 1.143 * * * [regime]: Found split indices: #