12.398 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying: (* (* (* x 3.0) x) y) 0.029 * [simplify]: Sending expressions to egg_math: (* (* (* h0 h1) h0) h2) 0.033 * * [simplify]: iteration 0 : 12 enodes (cost 3 ) 0.036 * * [simplify]: iteration 1 : 26 enodes (cost 3 ) 0.038 * * [simplify]: iteration 2 : 44 enodes (cost 3 ) 0.040 * * [simplify]: iteration 3 : 49 enodes (cost 3 ) 0.043 * * [simplify]: iteration 4 : 49 enodes (cost 3 ) 0.043 * * [progress]: iteration 1 / 4 0.043 * * * [progress]: picking best candidate 0.045 * * * * [pick]: Picked # 0.045 * * * [progress]: localizing error 0.050 * * * [progress]: generating rewritten candidates 0.050 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.106 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.124 * * * [progress]: generating series expansions 0.124 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.125 * [backup-simplify]: Simplify (* (* (* x 3.0) x) y) into (* 3.0 (* (pow x 2) y)) 0.125 * [approximate]: Taking taylor expansion of (* 3.0 (* (pow x 2) y)) in (x y) around 0 0.125 * [taylor]: Taking taylor expansion of (* 3.0 (* (pow x 2) y)) in y 0.125 * [taylor]: Taking taylor expansion of 3.0 in y 0.125 * [backup-simplify]: Simplify 3.0 into 3.0 0.125 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.125 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.125 * [taylor]: Taking taylor expansion of x in y 0.125 * [backup-simplify]: Simplify x into x 0.125 * [taylor]: Taking taylor expansion of y in y 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [taylor]: Taking taylor expansion of (* 3.0 (* (pow x 2) y)) in x 0.125 * [taylor]: Taking taylor expansion of 3.0 in x 0.125 * [backup-simplify]: Simplify 3.0 into 3.0 0.125 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.125 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [taylor]: Taking taylor expansion of y in x 0.125 * [backup-simplify]: Simplify y into y 0.125 * [taylor]: Taking taylor expansion of (* 3.0 (* (pow x 2) y)) in x 0.125 * [taylor]: Taking taylor expansion of 3.0 in x 0.125 * [backup-simplify]: Simplify 3.0 into 3.0 0.125 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.125 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [taylor]: Taking taylor expansion of y in x 0.125 * [backup-simplify]: Simplify y into y 0.126 * [backup-simplify]: Simplify (* 1 1) into 1 0.126 * [backup-simplify]: Simplify (* 1 y) into y 0.126 * [backup-simplify]: Simplify (* 3.0 y) into (* 3.0 y) 0.126 * [taylor]: Taking taylor expansion of (* 3.0 y) in y 0.126 * [taylor]: Taking taylor expansion of 3.0 in y 0.126 * [backup-simplify]: Simplify 3.0 into 3.0 0.126 * [taylor]: Taking taylor expansion of y in y 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (* 3.0 0) into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 y)) into 0 0.128 * [backup-simplify]: Simplify (+ (* 3.0 0) (* 0 y)) into 0 0.128 * [taylor]: Taking taylor expansion of 0 in y 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify (+ (* 3.0 1) (* 0 0)) into 3.0 0.129 * [backup-simplify]: Simplify 3.0 into 3.0 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 y))) into 0 0.131 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 0) (* 0 y))) into 0 0.131 * [taylor]: Taking taylor expansion of 0 in y 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 1) (* 0 0))) into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.134 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 0) (+ (* 0 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 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (* 3.0 (* y (pow x 2))) into (* 3.0 (* (pow x 2) y)) 0.134 * [backup-simplify]: Simplify (* (* (* (/ 1 x) 3.0) (/ 1 x)) (/ 1 y)) into (/ 3.0 (* (pow x 2) y)) 0.134 * [approximate]: Taking taylor expansion of (/ 3.0 (* (pow x 2) y)) in (x y) around 0 0.134 * [taylor]: Taking taylor expansion of (/ 3.0 (* (pow x 2) y)) in y 0.134 * [taylor]: Taking taylor expansion of 3.0 in y 0.134 * [backup-simplify]: Simplify 3.0 into 3.0 0.134 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.134 * [taylor]: Taking taylor expansion of x in y 0.134 * [backup-simplify]: Simplify x into x 0.134 * [taylor]: Taking taylor expansion of y in y 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.134 * [backup-simplify]: Simplify (* (pow x 2) 0) into 0 0.134 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.135 * [backup-simplify]: Simplify (+ (* (pow x 2) 1) (* 0 0)) into (pow x 2) 0.135 * [backup-simplify]: Simplify (/ 3.0 (pow x 2)) into (/ 3.0 (pow x 2)) 0.135 * [taylor]: Taking taylor expansion of (/ 3.0 (* (pow x 2) y)) 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) y) in x 0.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [taylor]: Taking taylor expansion of y in x 0.135 * [backup-simplify]: Simplify y into y 0.135 * [backup-simplify]: Simplify (* 1 1) into 1 0.135 * [backup-simplify]: Simplify (* 1 y) into y 0.135 * [backup-simplify]: Simplify (/ 3.0 y) into (/ 3.0 y) 0.136 * [taylor]: Taking taylor expansion of (/ 3.0 (* (pow x 2) y)) 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) y) in x 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 * [taylor]: Taking taylor expansion of y in x 0.136 * [backup-simplify]: Simplify y into y 0.136 * [backup-simplify]: Simplify (* 1 1) into 1 0.136 * [backup-simplify]: Simplify (* 1 y) into y 0.136 * [backup-simplify]: Simplify (/ 3.0 y) into (/ 3.0 y) 0.136 * [taylor]: Taking taylor expansion of (/ 3.0 y) in y 0.136 * [taylor]: Taking taylor expansion of 3.0 in y 0.136 * [backup-simplify]: Simplify 3.0 into 3.0 0.136 * [taylor]: Taking taylor expansion of y in y 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 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 (+ (* 1 0) (* 0 y)) into 0 0.137 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)))) into 0 0.137 * [taylor]: Taking taylor expansion of 0 in y 0.137 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 y))) into 0 0.139 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.139 * [taylor]: Taking taylor expansion of 0 in y 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.141 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.141 * [taylor]: Taking taylor expansion of 0 in y 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (* 3.0 (* (/ 1 (/ 1 y)) (pow (/ 1 x) -2))) into (* 3.0 (* (pow x 2) y)) 0.142 * [backup-simplify]: Simplify (* (* (* (/ 1 (- x)) 3.0) (/ 1 (- x))) (/ 1 (- y))) into (/ -3.0 (* (pow x 2) y)) 0.142 * [approximate]: Taking taylor expansion of (/ -3.0 (* (pow x 2) y)) in (x y) around 0 0.142 * [taylor]: Taking taylor expansion of (/ -3.0 (* (pow x 2) y)) in y 0.143 * [taylor]: Taking taylor expansion of -3.0 in y 0.143 * [backup-simplify]: Simplify -3.0 into -3.0 0.143 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.143 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.143 * [taylor]: Taking taylor expansion of x in y 0.143 * [backup-simplify]: Simplify x into x 0.143 * [taylor]: Taking taylor expansion of y in y 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.143 * [backup-simplify]: Simplify (* (pow x 2) 0) into 0 0.143 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.143 * [backup-simplify]: Simplify (+ (* (pow x 2) 1) (* 0 0)) into (pow x 2) 0.143 * [backup-simplify]: Simplify (/ -3.0 (pow x 2)) into (/ -3.0 (pow x 2)) 0.143 * [taylor]: Taking taylor expansion of (/ -3.0 (* (pow x 2) y)) in x 0.143 * [taylor]: Taking taylor expansion of -3.0 in x 0.143 * [backup-simplify]: Simplify -3.0 into -3.0 0.143 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [taylor]: Taking taylor expansion of y in x 0.144 * [backup-simplify]: Simplify y into y 0.144 * [backup-simplify]: Simplify (* 1 1) into 1 0.144 * [backup-simplify]: Simplify (* 1 y) into y 0.144 * [backup-simplify]: Simplify (/ -3.0 y) into (/ -3.0 y) 0.144 * [taylor]: Taking taylor expansion of (/ -3.0 (* (pow x 2) y)) in x 0.144 * [taylor]: Taking taylor expansion of -3.0 in x 0.144 * [backup-simplify]: Simplify -3.0 into -3.0 0.144 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [taylor]: Taking taylor expansion of y in x 0.144 * [backup-simplify]: Simplify y into y 0.144 * [backup-simplify]: Simplify (* 1 1) into 1 0.144 * [backup-simplify]: Simplify (* 1 y) into y 0.144 * [backup-simplify]: Simplify (/ -3.0 y) into (/ -3.0 y) 0.144 * [taylor]: Taking taylor expansion of (/ -3.0 y) in y 0.144 * [taylor]: Taking taylor expansion of -3.0 in y 0.145 * [backup-simplify]: Simplify -3.0 into -3.0 0.145 * [taylor]: Taking taylor expansion of y in y 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (/ -3.0 1) into -3.0 0.145 * [backup-simplify]: Simplify -3.0 into -3.0 0.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 y)) into 0 0.146 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -3.0 y) (/ 0 y)))) into 0 0.146 * [taylor]: Taking taylor expansion of 0 in y 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3.0 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 y))) into 0 0.148 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -3.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.148 * [taylor]: Taking taylor expansion of 0 in y 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.150 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -3.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.150 * [taylor]: Taking taylor expansion of 0 in y 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (* -3.0 (* (/ 1 (/ 1 (- y))) (pow (/ 1 (- x)) -2))) into (* 3.0 (* (pow x 2) y)) 0.151 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.151 * [backup-simplify]: Simplify (* (* x 3.0) x) into (* 3.0 (pow x 2)) 0.151 * [approximate]: Taking taylor expansion of (* 3.0 (pow x 2)) in (x) around 0 0.151 * [taylor]: Taking taylor expansion of (* 3.0 (pow x 2)) in x 0.151 * [taylor]: Taking taylor expansion of 3.0 in x 0.151 * [backup-simplify]: Simplify 3.0 into 3.0 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [taylor]: Taking taylor expansion of (* 3.0 (pow x 2)) in x 0.151 * [taylor]: Taking taylor expansion of 3.0 in x 0.151 * [backup-simplify]: Simplify 3.0 into 3.0 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (* 1 1) into 1 0.152 * [backup-simplify]: Simplify (* 3.0 1) into 3.0 0.152 * [backup-simplify]: Simplify 3.0 into 3.0 0.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.153 * [backup-simplify]: Simplify (+ (* 3.0 0) (* 0 1)) into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.157 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 0) (* 0 1))) into 0 0.157 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 0) (+ (* 0 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 0) (* 0 1))))) into 0 0.161 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.161 * [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 0.162 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.164 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (* 3.0 (pow x 2)) into (* 3.0 (pow x 2)) 0.165 * [backup-simplify]: Simplify (* (* (/ 1 x) 3.0) (/ 1 x)) into (/ 3.0 (pow x 2)) 0.165 * [approximate]: Taking taylor expansion of (/ 3.0 (pow x 2)) in (x) around 0 0.165 * [taylor]: Taking taylor expansion of (/ 3.0 (pow x 2)) in x 0.165 * [taylor]: Taking taylor expansion of 3.0 in x 0.165 * [backup-simplify]: Simplify 3.0 into 3.0 0.165 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (* 1 1) into 1 0.166 * [backup-simplify]: Simplify (/ 3.0 1) into 3.0 0.166 * [taylor]: Taking taylor expansion of (/ 3.0 (pow x 2)) in x 0.166 * [taylor]: Taking taylor expansion of 3.0 in x 0.166 * [backup-simplify]: Simplify 3.0 into 3.0 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (* 1 1) into 1 0.166 * [backup-simplify]: Simplify (/ 3.0 1) into 3.0 0.166 * [backup-simplify]: Simplify 3.0 into 3.0 0.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.174 * [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 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify (* 3.0 (pow (/ 1 (/ 1 x)) 2)) into (* 3.0 (pow x 2)) 0.174 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) 3.0) (/ 1 (- x))) into (/ 3.0 (pow x 2)) 0.174 * [approximate]: Taking taylor expansion of (/ 3.0 (pow x 2)) in (x) around 0 0.175 * [taylor]: Taking taylor expansion of (/ 3.0 (pow x 2)) in x 0.175 * [taylor]: Taking taylor expansion of 3.0 in x 0.175 * [backup-simplify]: Simplify 3.0 into 3.0 0.175 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (* 1 1) into 1 0.175 * [backup-simplify]: Simplify (/ 3.0 1) into 3.0 0.175 * [taylor]: Taking taylor expansion of (/ 3.0 (pow x 2)) in x 0.175 * [taylor]: Taking taylor expansion of 3.0 in x 0.175 * [backup-simplify]: Simplify 3.0 into 3.0 0.175 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (* 1 1) into 1 0.176 * [backup-simplify]: Simplify (/ 3.0 1) into 3.0 0.176 * [backup-simplify]: Simplify 3.0 into 3.0 0.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)))) into 0 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.179 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.183 * [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 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify (* 3.0 (pow (/ 1 (/ 1 (- x))) 2)) into (* 3.0 (pow x 2)) 0.184 * * * [progress]: simplifying candidates 0.185 * [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)) 0.185 * [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)) 0.190 * * [simplify]: iteration 0 : 172 enodes (cost 202 ) 0.197 * * [simplify]: iteration 1 : 912 enodes (cost 159 ) 0.225 * * [simplify]: iteration 2 : 5002 enodes (cost 159 ) 0.227 * * * [progress]: adding candidates to table 0.293 * * [progress]: iteration 2 / 4 0.293 * * * [progress]: picking best candidate 0.310 * * * * [pick]: Picked # 0.310 * * * [progress]: localizing error 0.315 * * * [progress]: generating rewritten candidates 0.315 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.346 * * * [progress]: generating series expansions 0.346 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.346 * [backup-simplify]: Simplify (* (* x 3.0) (* x y)) into (* 3.0 (* (pow x 2) y)) 0.347 * [approximate]: Taking taylor expansion of (* 3.0 (* (pow x 2) y)) in (x y) around 0 0.347 * [taylor]: Taking taylor expansion of (* 3.0 (* (pow x 2) y)) in y 0.347 * [taylor]: Taking taylor expansion of 3.0 in y 0.347 * [backup-simplify]: Simplify 3.0 into 3.0 0.347 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.347 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.347 * [taylor]: Taking taylor expansion of x in y 0.347 * [backup-simplify]: Simplify x into x 0.347 * [taylor]: Taking taylor expansion of y in y 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [taylor]: Taking taylor expansion of (* 3.0 (* (pow x 2) y)) in x 0.347 * [taylor]: Taking taylor expansion of 3.0 in x 0.347 * [backup-simplify]: Simplify 3.0 into 3.0 0.347 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [taylor]: Taking taylor expansion of y in x 0.347 * [backup-simplify]: Simplify y into y 0.347 * [taylor]: Taking taylor expansion of (* 3.0 (* (pow x 2) y)) in x 0.347 * [taylor]: Taking taylor expansion of 3.0 in x 0.347 * [backup-simplify]: Simplify 3.0 into 3.0 0.347 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [taylor]: Taking taylor expansion of y in x 0.347 * [backup-simplify]: Simplify y into y 0.348 * [backup-simplify]: Simplify (* 1 1) into 1 0.348 * [backup-simplify]: Simplify (* 1 y) into y 0.348 * [backup-simplify]: Simplify (* 3.0 y) into (* 3.0 y) 0.348 * [taylor]: Taking taylor expansion of (* 3.0 y) in y 0.348 * [taylor]: Taking taylor expansion of 3.0 in y 0.348 * [backup-simplify]: Simplify 3.0 into 3.0 0.348 * [taylor]: Taking taylor expansion of y in y 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 1 into 1 0.348 * [backup-simplify]: Simplify (* 3.0 0) into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 y)) into 0 0.349 * [backup-simplify]: Simplify (+ (* 3.0 0) (* 0 y)) into 0 0.349 * [taylor]: Taking taylor expansion of 0 in y 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify (+ (* 3.0 1) (* 0 0)) into 3.0 0.350 * [backup-simplify]: Simplify 3.0 into 3.0 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 y))) into 0 0.352 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 0) (* 0 y))) into 0 0.352 * [taylor]: Taking taylor expansion of 0 in y 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 1) (* 0 0))) into 0 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.355 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.355 * [taylor]: Taking taylor expansion of 0 in y 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify (* 3.0 (* y (pow x 2))) into (* 3.0 (* (pow x 2) y)) 0.355 * [backup-simplify]: Simplify (* (* (/ 1 x) 3.0) (* (/ 1 x) (/ 1 y))) into (/ 3.0 (* (pow x 2) y)) 0.355 * [approximate]: Taking taylor expansion of (/ 3.0 (* (pow x 2) y)) in (x y) around 0 0.355 * [taylor]: Taking taylor expansion of (/ 3.0 (* (pow x 2) y)) in y 0.356 * [taylor]: Taking taylor expansion of 3.0 in y 0.356 * [backup-simplify]: Simplify 3.0 into 3.0 0.356 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.356 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.356 * [taylor]: Taking taylor expansion of x in y 0.356 * [backup-simplify]: Simplify x into x 0.356 * [taylor]: Taking taylor expansion of y in y 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.356 * [backup-simplify]: Simplify (* (pow x 2) 0) into 0 0.356 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.357 * [backup-simplify]: Simplify (+ (* (pow x 2) 1) (* 0 0)) into (pow x 2) 0.357 * [backup-simplify]: Simplify (/ 3.0 (pow x 2)) into (/ 3.0 (pow x 2)) 0.357 * [taylor]: Taking taylor expansion of (/ 3.0 (* (pow x 2) y)) in x 0.357 * [taylor]: Taking taylor expansion of 3.0 in x 0.357 * [backup-simplify]: Simplify 3.0 into 3.0 0.357 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.357 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [taylor]: Taking taylor expansion of y in x 0.357 * [backup-simplify]: Simplify y into y 0.357 * [backup-simplify]: Simplify (* 1 1) into 1 0.357 * [backup-simplify]: Simplify (* 1 y) into y 0.357 * [backup-simplify]: Simplify (/ 3.0 y) into (/ 3.0 y) 0.357 * [taylor]: Taking taylor expansion of (/ 3.0 (* (pow x 2) y)) in x 0.357 * [taylor]: Taking taylor expansion of 3.0 in x 0.357 * [backup-simplify]: Simplify 3.0 into 3.0 0.357 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.357 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [taylor]: Taking taylor expansion of y in x 0.357 * [backup-simplify]: Simplify y into y 0.358 * [backup-simplify]: Simplify (* 1 1) into 1 0.358 * [backup-simplify]: Simplify (* 1 y) into y 0.358 * [backup-simplify]: Simplify (/ 3.0 y) into (/ 3.0 y) 0.358 * [taylor]: Taking taylor expansion of (/ 3.0 y) in y 0.358 * [taylor]: Taking taylor expansion of 3.0 in y 0.358 * [backup-simplify]: Simplify 3.0 into 3.0 0.358 * [taylor]: Taking taylor expansion of y in y 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [backup-simplify]: Simplify (/ 3.0 1) into 3.0 0.358 * [backup-simplify]: Simplify 3.0 into 3.0 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 y)) into 0 0.359 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)))) into 0 0.359 * [taylor]: Taking taylor expansion of 0 in y 0.359 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 y))) into 0 0.361 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.361 * [taylor]: Taking taylor expansion of 0 in y 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.363 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.363 * [taylor]: Taking taylor expansion of 0 in y 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify (* 3.0 (* (/ 1 (/ 1 y)) (pow (/ 1 x) -2))) into (* 3.0 (* (pow x 2) y)) 0.364 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) 3.0) (* (/ 1 (- x)) (/ 1 (- y)))) into (/ -3.0 (* (pow x 2) y)) 0.364 * [approximate]: Taking taylor expansion of (/ -3.0 (* (pow x 2) y)) in (x y) around 0 0.364 * [taylor]: Taking taylor expansion of (/ -3.0 (* (pow x 2) y)) in y 0.364 * [taylor]: Taking taylor expansion of -3.0 in y 0.364 * [backup-simplify]: Simplify -3.0 into -3.0 0.364 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.364 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.364 * [taylor]: Taking taylor expansion of x in y 0.364 * [backup-simplify]: Simplify x into x 0.364 * [taylor]: Taking taylor expansion of y in y 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.365 * [backup-simplify]: Simplify (* (pow x 2) 0) into 0 0.365 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.365 * [backup-simplify]: Simplify (+ (* (pow x 2) 1) (* 0 0)) into (pow x 2) 0.365 * [backup-simplify]: Simplify (/ -3.0 (pow x 2)) into (/ -3.0 (pow x 2)) 0.365 * [taylor]: Taking taylor expansion of (/ -3.0 (* (pow x 2) y)) in x 0.365 * [taylor]: Taking taylor expansion of -3.0 in x 0.365 * [backup-simplify]: Simplify -3.0 into -3.0 0.365 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.365 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 1 into 1 0.365 * [taylor]: Taking taylor expansion of y in x 0.365 * [backup-simplify]: Simplify y into y 0.366 * [backup-simplify]: Simplify (* 1 1) into 1 0.366 * [backup-simplify]: Simplify (* 1 y) into y 0.366 * [backup-simplify]: Simplify (/ -3.0 y) into (/ -3.0 y) 0.366 * [taylor]: Taking taylor expansion of (/ -3.0 (* (pow x 2) y)) in x 0.366 * [taylor]: Taking taylor expansion of -3.0 in x 0.366 * [backup-simplify]: Simplify -3.0 into -3.0 0.366 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.366 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 1 into 1 0.366 * [taylor]: Taking taylor expansion of y in x 0.366 * [backup-simplify]: Simplify y into y 0.366 * [backup-simplify]: Simplify (* 1 1) into 1 0.366 * [backup-simplify]: Simplify (* 1 y) into y 0.366 * [backup-simplify]: Simplify (/ -3.0 y) into (/ -3.0 y) 0.366 * [taylor]: Taking taylor expansion of (/ -3.0 y) in y 0.366 * [taylor]: Taking taylor expansion of -3.0 in y 0.366 * [backup-simplify]: Simplify -3.0 into -3.0 0.366 * [taylor]: Taking taylor expansion of y in y 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 1 into 1 0.367 * [backup-simplify]: Simplify (/ -3.0 1) into -3.0 0.367 * [backup-simplify]: Simplify -3.0 into -3.0 0.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 y)) into 0 0.367 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -3.0 y) (/ 0 y)))) into 0 0.368 * [taylor]: Taking taylor expansion of 0 in y 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3.0 (/ 0 1)))) into 0 0.368 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 y))) into 0 0.369 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -3.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.369 * [taylor]: Taking taylor expansion of 0 in y 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.370 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.371 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -3.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.371 * [taylor]: Taking taylor expansion of 0 in y 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify (* -3.0 (* (/ 1 (/ 1 (- y))) (pow (/ 1 (- x)) -2))) into (* 3.0 (* (pow x 2) y)) 0.373 * * * [progress]: simplifying candidates 0.373 * [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)) 0.373 * [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)) 0.377 * * [simplify]: iteration 0 : 137 enodes (cost 133 ) 0.383 * * [simplify]: iteration 1 : 626 enodes (cost 98 ) 0.402 * * [simplify]: iteration 2 : 3473 enodes (cost 98 ) 0.496 * * [simplify]: iteration 3 : 5001 enodes (cost 98 ) 0.497 * * * [progress]: adding candidates to table 0.526 * * [progress]: iteration 3 / 4 0.526 * * * [progress]: picking best candidate 0.546 * * * * [pick]: Picked # 0.546 * * * [progress]: localizing error 0.551 * * * [progress]: generating rewritten candidates 0.551 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.568 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.613 * * * [progress]: generating series expansions 0.613 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.613 * [backup-simplify]: Simplify (* 3.0 (* x y)) into (* 3.0 (* x y)) 0.613 * [approximate]: Taking taylor expansion of (* 3.0 (* x y)) in (x y) around 0 0.613 * [taylor]: Taking taylor expansion of (* 3.0 (* x y)) in y 0.613 * [taylor]: Taking taylor expansion of 3.0 in y 0.613 * [backup-simplify]: Simplify 3.0 into 3.0 0.613 * [taylor]: Taking taylor expansion of (* x y) in y 0.613 * [taylor]: Taking taylor expansion of x in y 0.613 * [backup-simplify]: Simplify x into x 0.614 * [taylor]: Taking taylor expansion of y in y 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 1 into 1 0.614 * [taylor]: Taking taylor expansion of (* 3.0 (* x y)) in x 0.614 * [taylor]: Taking taylor expansion of 3.0 in x 0.614 * [backup-simplify]: Simplify 3.0 into 3.0 0.614 * [taylor]: Taking taylor expansion of (* x y) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 1 into 1 0.614 * [taylor]: Taking taylor expansion of y in x 0.614 * [backup-simplify]: Simplify y into y 0.614 * [taylor]: Taking taylor expansion of (* 3.0 (* x y)) in x 0.614 * [taylor]: Taking taylor expansion of 3.0 in x 0.614 * [backup-simplify]: Simplify 3.0 into 3.0 0.614 * [taylor]: Taking taylor expansion of (* x y) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 1 into 1 0.614 * [taylor]: Taking taylor expansion of y in x 0.614 * [backup-simplify]: Simplify y into y 0.614 * [backup-simplify]: Simplify (* 0 y) into 0 0.615 * [backup-simplify]: Simplify (* 3.0 0) into 0 0.615 * [taylor]: Taking taylor expansion of 0 in y 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.615 * [backup-simplify]: Simplify (+ (* 3.0 y) (* 0 0)) into (* 3.0 y) 0.615 * [taylor]: Taking taylor expansion of (* 3.0 y) in y 0.615 * [taylor]: Taking taylor expansion of 3.0 in y 0.615 * [backup-simplify]: Simplify 3.0 into 3.0 0.615 * [taylor]: Taking taylor expansion of y in y 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 1 into 1 0.616 * [backup-simplify]: Simplify (* 3.0 0) into 0 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.617 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 y) (* 0 0))) into 0 0.617 * [taylor]: Taking taylor expansion of 0 in y 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify (+ (* 3.0 1) (* 0 0)) into 3.0 0.618 * [backup-simplify]: Simplify 3.0 into 3.0 0.618 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.620 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.620 * [taylor]: Taking taylor expansion of 0 in y 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 1) (* 0 0))) into 0 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.622 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.622 * [taylor]: Taking taylor expansion of 0 in y 0.622 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify (* 3.0 (* y x)) into (* 3.0 (* x y)) 0.623 * [backup-simplify]: Simplify (* 3.0 (* (/ 1 x) (/ 1 y))) into (/ 3.0 (* x y)) 0.623 * [approximate]: Taking taylor expansion of (/ 3.0 (* x y)) in (x y) around 0 0.623 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in y 0.623 * [taylor]: Taking taylor expansion of 3.0 in y 0.623 * [backup-simplify]: Simplify 3.0 into 3.0 0.623 * [taylor]: Taking taylor expansion of (* x y) in y 0.623 * [taylor]: Taking taylor expansion of x in y 0.623 * [backup-simplify]: Simplify x into x 0.623 * [taylor]: Taking taylor expansion of y in y 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify 1 into 1 0.623 * [backup-simplify]: Simplify (* x 0) into 0 0.623 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.623 * [backup-simplify]: Simplify (/ 3.0 x) into (/ 3.0 x) 0.623 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in x 0.623 * [taylor]: Taking taylor expansion of 3.0 in x 0.623 * [backup-simplify]: Simplify 3.0 into 3.0 0.623 * [taylor]: Taking taylor expansion of (* x y) in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify 1 into 1 0.623 * [taylor]: Taking taylor expansion of y in x 0.623 * [backup-simplify]: Simplify y into y 0.623 * [backup-simplify]: Simplify (* 0 y) into 0 0.624 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.624 * [backup-simplify]: Simplify (/ 3.0 y) into (/ 3.0 y) 0.624 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in x 0.624 * [taylor]: Taking taylor expansion of 3.0 in x 0.624 * [backup-simplify]: Simplify 3.0 into 3.0 0.624 * [taylor]: Taking taylor expansion of (* x y) in x 0.624 * [taylor]: Taking taylor expansion of x in x 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 1 into 1 0.624 * [taylor]: Taking taylor expansion of y in x 0.624 * [backup-simplify]: Simplify y into y 0.624 * [backup-simplify]: Simplify (* 0 y) into 0 0.624 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.624 * [backup-simplify]: Simplify (/ 3.0 y) into (/ 3.0 y) 0.624 * [taylor]: Taking taylor expansion of (/ 3.0 y) in y 0.624 * [taylor]: Taking taylor expansion of 3.0 in y 0.624 * [backup-simplify]: Simplify 3.0 into 3.0 0.624 * [taylor]: Taking taylor expansion of y in y 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 1 into 1 0.625 * [backup-simplify]: Simplify (/ 3.0 1) into 3.0 0.625 * [backup-simplify]: Simplify 3.0 into 3.0 0.625 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.625 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)))) into 0 0.625 * [taylor]: Taking taylor expansion of 0 in y 0.625 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)))) into 0 0.626 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.627 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.627 * [taylor]: Taking taylor expansion of 0 in y 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.627 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.629 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.629 * [taylor]: Taking taylor expansion of 0 in y 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify (* 3.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) into (* 3.0 (* x y)) 0.629 * [backup-simplify]: Simplify (* 3.0 (* (/ 1 (- x)) (/ 1 (- y)))) into (/ 3.0 (* x y)) 0.630 * [approximate]: Taking taylor expansion of (/ 3.0 (* x y)) in (x y) around 0 0.630 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in y 0.630 * [taylor]: Taking taylor expansion of 3.0 in y 0.630 * [backup-simplify]: Simplify 3.0 into 3.0 0.630 * [taylor]: Taking taylor expansion of (* x y) in y 0.630 * [taylor]: Taking taylor expansion of x in y 0.630 * [backup-simplify]: Simplify x into x 0.630 * [taylor]: Taking taylor expansion of y in y 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 1 into 1 0.630 * [backup-simplify]: Simplify (* x 0) into 0 0.630 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.630 * [backup-simplify]: Simplify (/ 3.0 x) into (/ 3.0 x) 0.630 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in x 0.630 * [taylor]: Taking taylor expansion of 3.0 in x 0.630 * [backup-simplify]: Simplify 3.0 into 3.0 0.630 * [taylor]: Taking taylor expansion of (* x y) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 1 into 1 0.630 * [taylor]: Taking taylor expansion of y in x 0.630 * [backup-simplify]: Simplify y into y 0.630 * [backup-simplify]: Simplify (* 0 y) into 0 0.631 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.631 * [backup-simplify]: Simplify (/ 3.0 y) into (/ 3.0 y) 0.631 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in x 0.631 * [taylor]: Taking taylor expansion of 3.0 in x 0.631 * [backup-simplify]: Simplify 3.0 into 3.0 0.631 * [taylor]: Taking taylor expansion of (* x y) in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [taylor]: Taking taylor expansion of y in x 0.631 * [backup-simplify]: Simplify y into y 0.631 * [backup-simplify]: Simplify (* 0 y) into 0 0.631 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.631 * [backup-simplify]: Simplify (/ 3.0 y) into (/ 3.0 y) 0.631 * [taylor]: Taking taylor expansion of (/ 3.0 y) in y 0.631 * [taylor]: Taking taylor expansion of 3.0 in y 0.631 * [backup-simplify]: Simplify 3.0 into 3.0 0.631 * [taylor]: Taking taylor expansion of y in y 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 1 into 1 0.632 * [backup-simplify]: Simplify (/ 3.0 1) into 3.0 0.632 * [backup-simplify]: Simplify 3.0 into 3.0 0.632 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.632 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)))) into 0 0.632 * [taylor]: Taking taylor expansion of 0 in y 0.632 * [backup-simplify]: Simplify 0 into 0 0.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)))) into 0 0.633 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.634 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.634 * [taylor]: Taking taylor expansion of 0 in y 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.634 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.635 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.635 * [taylor]: Taking taylor expansion of 0 in y 0.635 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.636 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify (* 3.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) into (* 3.0 (* x y)) 0.636 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.636 * [backup-simplify]: Simplify (* x (* 3.0 (* x y))) into (* 3.0 (* (pow x 2) y)) 0.637 * [approximate]: Taking taylor expansion of (* 3.0 (* (pow x 2) y)) in (x y) around 0 0.637 * [taylor]: Taking taylor expansion of (* 3.0 (* (pow x 2) y)) in y 0.637 * [taylor]: Taking taylor expansion of 3.0 in y 0.637 * [backup-simplify]: Simplify 3.0 into 3.0 0.637 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.637 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.637 * [taylor]: Taking taylor expansion of x in y 0.637 * [backup-simplify]: Simplify x into x 0.637 * [taylor]: Taking taylor expansion of y in y 0.637 * [backup-simplify]: Simplify 0 into 0 0.637 * [backup-simplify]: Simplify 1 into 1 0.637 * [taylor]: Taking taylor expansion of (* 3.0 (* (pow x 2) y)) in x 0.637 * [taylor]: Taking taylor expansion of 3.0 in x 0.637 * [backup-simplify]: Simplify 3.0 into 3.0 0.637 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.637 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.637 * [backup-simplify]: Simplify 0 into 0 0.637 * [backup-simplify]: Simplify 1 into 1 0.637 * [taylor]: Taking taylor expansion of y in x 0.637 * [backup-simplify]: Simplify y into y 0.637 * [taylor]: Taking taylor expansion of (* 3.0 (* (pow x 2) y)) in x 0.637 * [taylor]: Taking taylor expansion of 3.0 in x 0.637 * [backup-simplify]: Simplify 3.0 into 3.0 0.637 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.637 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.637 * [backup-simplify]: Simplify 0 into 0 0.637 * [backup-simplify]: Simplify 1 into 1 0.637 * [taylor]: Taking taylor expansion of y in x 0.637 * [backup-simplify]: Simplify y into y 0.637 * [backup-simplify]: Simplify (* 1 1) into 1 0.637 * [backup-simplify]: Simplify (* 1 y) into y 0.637 * [backup-simplify]: Simplify (* 3.0 y) into (* 3.0 y) 0.637 * [taylor]: Taking taylor expansion of (* 3.0 y) in y 0.637 * [taylor]: Taking taylor expansion of 3.0 in y 0.637 * [backup-simplify]: Simplify 3.0 into 3.0 0.637 * [taylor]: Taking taylor expansion of y in y 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify 1 into 1 0.638 * [backup-simplify]: Simplify (* 3.0 0) into 0 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 y)) into 0 0.639 * [backup-simplify]: Simplify (+ (* 3.0 0) (* 0 y)) into 0 0.639 * [taylor]: Taking taylor expansion of 0 in y 0.639 * [backup-simplify]: Simplify 0 into 0 0.639 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify (+ (* 3.0 1) (* 0 0)) into 3.0 0.640 * [backup-simplify]: Simplify 3.0 into 3.0 0.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 y))) into 0 0.641 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 0) (* 0 y))) into 0 0.641 * [taylor]: Taking taylor expansion of 0 in y 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 1) (* 0 0))) into 0 0.642 * [backup-simplify]: Simplify 0 into 0 0.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.644 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.644 * [taylor]: Taking taylor expansion of 0 in y 0.644 * [backup-simplify]: Simplify 0 into 0 0.644 * [backup-simplify]: Simplify 0 into 0 0.644 * [backup-simplify]: Simplify 0 into 0 0.644 * [backup-simplify]: Simplify 0 into 0 0.644 * [backup-simplify]: Simplify (* 3.0 (* y (pow x 2))) into (* 3.0 (* (pow x 2) y)) 0.645 * [backup-simplify]: Simplify (* (/ 1 x) (* 3.0 (* (/ 1 x) (/ 1 y)))) into (/ 3.0 (* (pow x 2) y)) 0.645 * [approximate]: Taking taylor expansion of (/ 3.0 (* (pow x 2) y)) in (x y) around 0 0.645 * [taylor]: Taking taylor expansion of (/ 3.0 (* (pow x 2) y)) in y 0.645 * [taylor]: Taking taylor expansion of 3.0 in y 0.645 * [backup-simplify]: Simplify 3.0 into 3.0 0.645 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.645 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.645 * [taylor]: Taking taylor expansion of x in y 0.645 * [backup-simplify]: Simplify x into x 0.645 * [taylor]: Taking taylor expansion of y in y 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify 1 into 1 0.645 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.645 * [backup-simplify]: Simplify (* (pow x 2) 0) into 0 0.645 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.645 * [backup-simplify]: Simplify (+ (* (pow x 2) 1) (* 0 0)) into (pow x 2) 0.646 * [backup-simplify]: Simplify (/ 3.0 (pow x 2)) into (/ 3.0 (pow x 2)) 0.646 * [taylor]: Taking taylor expansion of (/ 3.0 (* (pow x 2) y)) in x 0.646 * [taylor]: Taking taylor expansion of 3.0 in x 0.646 * [backup-simplify]: Simplify 3.0 into 3.0 0.646 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.646 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.646 * [backup-simplify]: Simplify 0 into 0 0.646 * [backup-simplify]: Simplify 1 into 1 0.646 * [taylor]: Taking taylor expansion of y in x 0.646 * [backup-simplify]: Simplify y into y 0.646 * [backup-simplify]: Simplify (* 1 1) into 1 0.646 * [backup-simplify]: Simplify (* 1 y) into y 0.646 * [backup-simplify]: Simplify (/ 3.0 y) into (/ 3.0 y) 0.646 * [taylor]: Taking taylor expansion of (/ 3.0 (* (pow x 2) y)) in x 0.646 * [taylor]: Taking taylor expansion of 3.0 in x 0.646 * [backup-simplify]: Simplify 3.0 into 3.0 0.646 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.646 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.646 * [backup-simplify]: Simplify 0 into 0 0.646 * [backup-simplify]: Simplify 1 into 1 0.646 * [taylor]: Taking taylor expansion of y in x 0.646 * [backup-simplify]: Simplify y into y 0.647 * [backup-simplify]: Simplify (* 1 1) into 1 0.647 * [backup-simplify]: Simplify (* 1 y) into y 0.647 * [backup-simplify]: Simplify (/ 3.0 y) into (/ 3.0 y) 0.647 * [taylor]: Taking taylor expansion of (/ 3.0 y) in y 0.647 * [taylor]: Taking taylor expansion of 3.0 in y 0.647 * [backup-simplify]: Simplify 3.0 into 3.0 0.647 * [taylor]: Taking taylor expansion of y in y 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify 1 into 1 0.647 * [backup-simplify]: Simplify (/ 3.0 1) into 3.0 0.647 * [backup-simplify]: Simplify 3.0 into 3.0 0.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 y)) into 0 0.648 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)))) into 0 0.648 * [taylor]: Taking taylor expansion of 0 in y 0.648 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)))) into 0 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 y))) into 0 0.650 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.650 * [taylor]: Taking taylor expansion of 0 in y 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.652 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.652 * [taylor]: Taking taylor expansion of 0 in y 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.653 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify (* 3.0 (* (/ 1 (/ 1 y)) (pow (/ 1 x) -2))) into (* 3.0 (* (pow x 2) y)) 0.653 * [backup-simplify]: Simplify (* (/ 1 (- x)) (* 3.0 (* (/ 1 (- x)) (/ 1 (- y))))) into (/ -3.0 (* (pow x 2) y)) 0.653 * [approximate]: Taking taylor expansion of (/ -3.0 (* (pow x 2) y)) in (x y) around 0 0.653 * [taylor]: Taking taylor expansion of (/ -3.0 (* (pow x 2) y)) in y 0.653 * [taylor]: Taking taylor expansion of -3.0 in y 0.653 * [backup-simplify]: Simplify -3.0 into -3.0 0.654 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.654 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.654 * [taylor]: Taking taylor expansion of x in y 0.654 * [backup-simplify]: Simplify x into x 0.654 * [taylor]: Taking taylor expansion of y in y 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 1 into 1 0.654 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.654 * [backup-simplify]: Simplify (* (pow x 2) 0) into 0 0.654 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.654 * [backup-simplify]: Simplify (+ (* (pow x 2) 1) (* 0 0)) into (pow x 2) 0.654 * [backup-simplify]: Simplify (/ -3.0 (pow x 2)) into (/ -3.0 (pow x 2)) 0.654 * [taylor]: Taking taylor expansion of (/ -3.0 (* (pow x 2) y)) in x 0.654 * [taylor]: Taking taylor expansion of -3.0 in x 0.654 * [backup-simplify]: Simplify -3.0 into -3.0 0.654 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.654 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.655 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify 1 into 1 0.655 * [taylor]: Taking taylor expansion of y in x 0.655 * [backup-simplify]: Simplify y into y 0.655 * [backup-simplify]: Simplify (* 1 1) into 1 0.655 * [backup-simplify]: Simplify (* 1 y) into y 0.655 * [backup-simplify]: Simplify (/ -3.0 y) into (/ -3.0 y) 0.655 * [taylor]: Taking taylor expansion of (/ -3.0 (* (pow x 2) y)) in x 0.655 * [taylor]: Taking taylor expansion of -3.0 in x 0.655 * [backup-simplify]: Simplify -3.0 into -3.0 0.655 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.655 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.655 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify 1 into 1 0.655 * [taylor]: Taking taylor expansion of y in x 0.655 * [backup-simplify]: Simplify y into y 0.655 * [backup-simplify]: Simplify (* 1 1) into 1 0.655 * [backup-simplify]: Simplify (* 1 y) into y 0.655 * [backup-simplify]: Simplify (/ -3.0 y) into (/ -3.0 y) 0.656 * [taylor]: Taking taylor expansion of (/ -3.0 y) in y 0.656 * [taylor]: Taking taylor expansion of -3.0 in y 0.656 * [backup-simplify]: Simplify -3.0 into -3.0 0.656 * [taylor]: Taking taylor expansion of y in y 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify 1 into 1 0.656 * [backup-simplify]: Simplify (/ -3.0 1) into -3.0 0.656 * [backup-simplify]: Simplify -3.0 into -3.0 0.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 y)) into 0 0.657 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -3.0 y) (/ 0 y)))) into 0 0.657 * [taylor]: Taking taylor expansion of 0 in y 0.657 * [backup-simplify]: Simplify 0 into 0 0.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3.0 (/ 0 1)))) into 0 0.658 * [backup-simplify]: Simplify 0 into 0 0.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 y))) into 0 0.659 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -3.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.659 * [taylor]: Taking taylor expansion of 0 in y 0.659 * [backup-simplify]: Simplify 0 into 0 0.659 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.660 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.661 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -3.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.661 * [taylor]: Taking taylor expansion of 0 in y 0.661 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify 0 into 0 0.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.662 * [backup-simplify]: Simplify 0 into 0 0.662 * [backup-simplify]: Simplify (* -3.0 (* (/ 1 (/ 1 (- y))) (pow (/ 1 (- x)) -2))) into (* 3.0 (* (pow x 2) y)) 0.662 * * * [progress]: simplifying candidates 0.663 * [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)) 0.663 * [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)) 0.667 * * [simplify]: iteration 0 : 158 enodes (cost 200 ) 0.673 * * [simplify]: iteration 1 : 663 enodes (cost 157 ) 0.694 * * [simplify]: iteration 2 : 3700 enodes (cost 157 ) 0.787 * * [simplify]: iteration 3 : 5001 enodes (cost 157 ) 0.789 * * * [progress]: adding candidates to table 0.856 * * [progress]: iteration 4 / 4 0.856 * * * [progress]: picking best candidate 0.873 * * * * [pick]: Picked # 0.873 * * * [progress]: localizing error 0.878 * * * [progress]: generating rewritten candidates 0.878 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.896 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.945 * * * [progress]: generating series expansions 0.945 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.945 * [backup-simplify]: Simplify (* (* 3.0 x) y) into (* 3.0 (* x y)) 0.945 * [approximate]: Taking taylor expansion of (* 3.0 (* x y)) in (x y) around 0 0.945 * [taylor]: Taking taylor expansion of (* 3.0 (* x y)) in y 0.945 * [taylor]: Taking taylor expansion of 3.0 in y 0.945 * [backup-simplify]: Simplify 3.0 into 3.0 0.945 * [taylor]: Taking taylor expansion of (* x y) in y 0.945 * [taylor]: Taking taylor expansion of x in y 0.945 * [backup-simplify]: Simplify x into x 0.945 * [taylor]: Taking taylor expansion of y in y 0.945 * [backup-simplify]: Simplify 0 into 0 0.945 * [backup-simplify]: Simplify 1 into 1 0.946 * [taylor]: Taking taylor expansion of (* 3.0 (* x y)) in x 0.946 * [taylor]: Taking taylor expansion of 3.0 in x 0.946 * [backup-simplify]: Simplify 3.0 into 3.0 0.946 * [taylor]: Taking taylor expansion of (* x y) in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.946 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify 1 into 1 0.946 * [taylor]: Taking taylor expansion of y in x 0.946 * [backup-simplify]: Simplify y into y 0.946 * [taylor]: Taking taylor expansion of (* 3.0 (* x y)) in x 0.946 * [taylor]: Taking taylor expansion of 3.0 in x 0.946 * [backup-simplify]: Simplify 3.0 into 3.0 0.946 * [taylor]: Taking taylor expansion of (* x y) in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.946 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify 1 into 1 0.946 * [taylor]: Taking taylor expansion of y in x 0.946 * [backup-simplify]: Simplify y into y 0.946 * [backup-simplify]: Simplify (* 0 y) into 0 0.946 * [backup-simplify]: Simplify (* 3.0 0) into 0 0.947 * [taylor]: Taking taylor expansion of 0 in y 0.947 * [backup-simplify]: Simplify 0 into 0 0.947 * [backup-simplify]: Simplify 0 into 0 0.947 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.947 * [backup-simplify]: Simplify (+ (* 3.0 y) (* 0 0)) into (* 3.0 y) 0.947 * [taylor]: Taking taylor expansion of (* 3.0 y) in y 0.947 * [taylor]: Taking taylor expansion of 3.0 in y 0.947 * [backup-simplify]: Simplify 3.0 into 3.0 0.947 * [taylor]: Taking taylor expansion of y in y 0.947 * [backup-simplify]: Simplify 0 into 0 0.947 * [backup-simplify]: Simplify 1 into 1 0.948 * [backup-simplify]: Simplify (* 3.0 0) into 0 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.949 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 y) (* 0 0))) into 0 0.949 * [taylor]: Taking taylor expansion of 0 in y 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify (+ (* 3.0 1) (* 0 0)) into 3.0 0.950 * [backup-simplify]: Simplify 3.0 into 3.0 0.950 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.952 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.952 * [taylor]: Taking taylor expansion of 0 in y 0.952 * [backup-simplify]: Simplify 0 into 0 0.952 * [backup-simplify]: Simplify 0 into 0 0.952 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 1) (* 0 0))) into 0 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.955 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.955 * [taylor]: Taking taylor expansion of 0 in y 0.955 * [backup-simplify]: Simplify 0 into 0 0.955 * [backup-simplify]: Simplify 0 into 0 0.955 * [backup-simplify]: Simplify (* 3.0 (* y x)) into (* 3.0 (* x y)) 0.955 * [backup-simplify]: Simplify (* (* 3.0 (/ 1 x)) (/ 1 y)) into (/ 3.0 (* x y)) 0.955 * [approximate]: Taking taylor expansion of (/ 3.0 (* x y)) in (x y) around 0 0.955 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in y 0.955 * [taylor]: Taking taylor expansion of 3.0 in y 0.955 * [backup-simplify]: Simplify 3.0 into 3.0 0.955 * [taylor]: Taking taylor expansion of (* x y) in y 0.955 * [taylor]: Taking taylor expansion of x in y 0.955 * [backup-simplify]: Simplify x into x 0.955 * [taylor]: Taking taylor expansion of y in y 0.955 * [backup-simplify]: Simplify 0 into 0 0.955 * [backup-simplify]: Simplify 1 into 1 0.955 * [backup-simplify]: Simplify (* x 0) into 0 0.955 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.955 * [backup-simplify]: Simplify (/ 3.0 x) into (/ 3.0 x) 0.956 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in x 0.956 * [taylor]: Taking taylor expansion of 3.0 in x 0.956 * [backup-simplify]: Simplify 3.0 into 3.0 0.956 * [taylor]: Taking taylor expansion of (* x y) in x 0.956 * [taylor]: Taking taylor expansion of x in x 0.956 * [backup-simplify]: Simplify 0 into 0 0.956 * [backup-simplify]: Simplify 1 into 1 0.956 * [taylor]: Taking taylor expansion of y in x 0.956 * [backup-simplify]: Simplify y into y 0.956 * [backup-simplify]: Simplify (* 0 y) into 0 0.956 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.956 * [backup-simplify]: Simplify (/ 3.0 y) into (/ 3.0 y) 0.956 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in x 0.956 * [taylor]: Taking taylor expansion of 3.0 in x 0.956 * [backup-simplify]: Simplify 3.0 into 3.0 0.956 * [taylor]: Taking taylor expansion of (* x y) in x 0.956 * [taylor]: Taking taylor expansion of x in x 0.956 * [backup-simplify]: Simplify 0 into 0 0.956 * [backup-simplify]: Simplify 1 into 1 0.956 * [taylor]: Taking taylor expansion of y in x 0.956 * [backup-simplify]: Simplify y into y 0.956 * [backup-simplify]: Simplify (* 0 y) into 0 0.956 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.956 * [backup-simplify]: Simplify (/ 3.0 y) into (/ 3.0 y) 0.957 * [taylor]: Taking taylor expansion of (/ 3.0 y) in y 0.957 * [taylor]: Taking taylor expansion of 3.0 in y 0.957 * [backup-simplify]: Simplify 3.0 into 3.0 0.957 * [taylor]: Taking taylor expansion of y in y 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [backup-simplify]: Simplify 1 into 1 0.957 * [backup-simplify]: Simplify (/ 3.0 1) into 3.0 0.957 * [backup-simplify]: Simplify 3.0 into 3.0 0.958 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.958 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)))) into 0 0.958 * [taylor]: Taking taylor expansion of 0 in y 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)))) into 0 0.958 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.959 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.959 * [taylor]: Taking taylor expansion of 0 in y 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.960 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.961 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.961 * [taylor]: Taking taylor expansion of 0 in y 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify 0 into 0 0.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.962 * [backup-simplify]: Simplify 0 into 0 0.962 * [backup-simplify]: Simplify (* 3.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) into (* 3.0 (* x y)) 0.962 * [backup-simplify]: Simplify (* (* 3.0 (/ 1 (- x))) (/ 1 (- y))) into (/ 3.0 (* x y)) 0.962 * [approximate]: Taking taylor expansion of (/ 3.0 (* x y)) in (x y) around 0 0.962 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in y 0.962 * [taylor]: Taking taylor expansion of 3.0 in y 0.962 * [backup-simplify]: Simplify 3.0 into 3.0 0.962 * [taylor]: Taking taylor expansion of (* x y) in y 0.962 * [taylor]: Taking taylor expansion of x in y 0.962 * [backup-simplify]: Simplify x into x 0.962 * [taylor]: Taking taylor expansion of y in y 0.962 * [backup-simplify]: Simplify 0 into 0 0.962 * [backup-simplify]: Simplify 1 into 1 0.962 * [backup-simplify]: Simplify (* x 0) into 0 0.962 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.962 * [backup-simplify]: Simplify (/ 3.0 x) into (/ 3.0 x) 0.962 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in x 0.962 * [taylor]: Taking taylor expansion of 3.0 in x 0.962 * [backup-simplify]: Simplify 3.0 into 3.0 0.962 * [taylor]: Taking taylor expansion of (* x y) in x 0.962 * [taylor]: Taking taylor expansion of x in x 0.963 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify 1 into 1 0.963 * [taylor]: Taking taylor expansion of y in x 0.963 * [backup-simplify]: Simplify y into y 0.963 * [backup-simplify]: Simplify (* 0 y) into 0 0.963 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.963 * [backup-simplify]: Simplify (/ 3.0 y) into (/ 3.0 y) 0.963 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in x 0.963 * [taylor]: Taking taylor expansion of 3.0 in x 0.963 * [backup-simplify]: Simplify 3.0 into 3.0 0.963 * [taylor]: Taking taylor expansion of (* x y) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify 1 into 1 0.963 * [taylor]: Taking taylor expansion of y in x 0.963 * [backup-simplify]: Simplify y into y 0.963 * [backup-simplify]: Simplify (* 0 y) into 0 0.963 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.963 * [backup-simplify]: Simplify (/ 3.0 y) into (/ 3.0 y) 0.964 * [taylor]: Taking taylor expansion of (/ 3.0 y) in y 0.964 * [taylor]: Taking taylor expansion of 3.0 in y 0.964 * [backup-simplify]: Simplify 3.0 into 3.0 0.964 * [taylor]: Taking taylor expansion of y in y 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify 1 into 1 0.964 * [backup-simplify]: Simplify (/ 3.0 1) into 3.0 0.964 * [backup-simplify]: Simplify 3.0 into 3.0 0.964 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.965 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)))) into 0 0.965 * [taylor]: Taking taylor expansion of 0 in y 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)))) into 0 0.965 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.966 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.966 * [taylor]: Taking taylor expansion of 0 in y 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify 0 into 0 0.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.967 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.968 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.968 * [taylor]: Taking taylor expansion of 0 in y 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify (* 3.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) into (* 3.0 (* x y)) 0.969 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.969 * [backup-simplify]: Simplify (* x (* (* 3.0 x) y)) into (* 3.0 (* (pow x 2) y)) 0.969 * [approximate]: Taking taylor expansion of (* 3.0 (* (pow x 2) y)) in (x y) around 0 0.969 * [taylor]: Taking taylor expansion of (* 3.0 (* (pow x 2) y)) in y 0.969 * [taylor]: Taking taylor expansion of 3.0 in y 0.969 * [backup-simplify]: Simplify 3.0 into 3.0 0.969 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.969 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.969 * [taylor]: Taking taylor expansion of x in y 0.969 * [backup-simplify]: Simplify x into x 0.969 * [taylor]: Taking taylor expansion of y in y 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 1 into 1 0.969 * [taylor]: Taking taylor expansion of (* 3.0 (* (pow x 2) y)) in x 0.969 * [taylor]: Taking taylor expansion of 3.0 in x 0.969 * [backup-simplify]: Simplify 3.0 into 3.0 0.969 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.969 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.969 * [taylor]: Taking taylor expansion of x in x 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 1 into 1 0.969 * [taylor]: Taking taylor expansion of y in x 0.969 * [backup-simplify]: Simplify y into y 0.969 * [taylor]: Taking taylor expansion of (* 3.0 (* (pow x 2) y)) in x 0.969 * [taylor]: Taking taylor expansion of 3.0 in x 0.969 * [backup-simplify]: Simplify 3.0 into 3.0 0.969 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.969 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.969 * [taylor]: Taking taylor expansion of x in x 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 1 into 1 0.969 * [taylor]: Taking taylor expansion of y in x 0.969 * [backup-simplify]: Simplify y into y 0.970 * [backup-simplify]: Simplify (* 1 1) into 1 0.970 * [backup-simplify]: Simplify (* 1 y) into y 0.970 * [backup-simplify]: Simplify (* 3.0 y) into (* 3.0 y) 0.970 * [taylor]: Taking taylor expansion of (* 3.0 y) in y 0.970 * [taylor]: Taking taylor expansion of 3.0 in y 0.970 * [backup-simplify]: Simplify 3.0 into 3.0 0.970 * [taylor]: Taking taylor expansion of y in y 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify 1 into 1 0.970 * [backup-simplify]: Simplify (* 3.0 0) into 0 0.970 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 y)) into 0 0.972 * [backup-simplify]: Simplify (+ (* 3.0 0) (* 0 y)) into 0 0.972 * [taylor]: Taking taylor expansion of 0 in y 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify (+ (* 3.0 1) (* 0 0)) into 3.0 0.973 * [backup-simplify]: Simplify 3.0 into 3.0 0.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 y))) into 0 0.974 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 0) (* 0 y))) into 0 0.974 * [taylor]: Taking taylor expansion of 0 in y 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 1) (* 0 0))) into 0 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.977 * [backup-simplify]: Simplify (+ (* 3.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.977 * [taylor]: Taking taylor expansion of 0 in y 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify (* 3.0 (* y (pow x 2))) into (* 3.0 (* (pow x 2) y)) 0.977 * [backup-simplify]: Simplify (* (/ 1 x) (* (* 3.0 (/ 1 x)) (/ 1 y))) into (/ 3.0 (* (pow x 2) y)) 0.977 * [approximate]: Taking taylor expansion of (/ 3.0 (* (pow x 2) y)) in (x y) around 0 0.977 * [taylor]: Taking taylor expansion of (/ 3.0 (* (pow x 2) y)) in y 0.977 * [taylor]: Taking taylor expansion of 3.0 in y 0.977 * [backup-simplify]: Simplify 3.0 into 3.0 0.977 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.977 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.977 * [taylor]: Taking taylor expansion of x in y 0.977 * [backup-simplify]: Simplify x into x 0.977 * [taylor]: Taking taylor expansion of y in y 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify 1 into 1 0.977 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.978 * [backup-simplify]: Simplify (* (pow x 2) 0) into 0 0.978 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.978 * [backup-simplify]: Simplify (+ (* (pow x 2) 1) (* 0 0)) into (pow x 2) 0.978 * [backup-simplify]: Simplify (/ 3.0 (pow x 2)) into (/ 3.0 (pow x 2)) 0.978 * [taylor]: Taking taylor expansion of (/ 3.0 (* (pow x 2) y)) in x 0.978 * [taylor]: Taking taylor expansion of 3.0 in x 0.978 * [backup-simplify]: Simplify 3.0 into 3.0 0.978 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.978 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.978 * [taylor]: Taking taylor expansion of x in x 0.978 * [backup-simplify]: Simplify 0 into 0 0.978 * [backup-simplify]: Simplify 1 into 1 0.978 * [taylor]: Taking taylor expansion of y in x 0.978 * [backup-simplify]: Simplify y into y 0.979 * [backup-simplify]: Simplify (* 1 1) into 1 0.979 * [backup-simplify]: Simplify (* 1 y) into y 0.979 * [backup-simplify]: Simplify (/ 3.0 y) into (/ 3.0 y) 0.979 * [taylor]: Taking taylor expansion of (/ 3.0 (* (pow x 2) y)) in x 0.979 * [taylor]: Taking taylor expansion of 3.0 in x 0.979 * [backup-simplify]: Simplify 3.0 into 3.0 0.979 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.979 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.979 * [taylor]: Taking taylor expansion of x in x 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [backup-simplify]: Simplify 1 into 1 0.979 * [taylor]: Taking taylor expansion of y in x 0.979 * [backup-simplify]: Simplify y into y 0.979 * [backup-simplify]: Simplify (* 1 1) into 1 0.979 * [backup-simplify]: Simplify (* 1 y) into y 0.979 * [backup-simplify]: Simplify (/ 3.0 y) into (/ 3.0 y) 0.979 * [taylor]: Taking taylor expansion of (/ 3.0 y) in y 0.979 * [taylor]: Taking taylor expansion of 3.0 in y 0.979 * [backup-simplify]: Simplify 3.0 into 3.0 0.979 * [taylor]: Taking taylor expansion of y in y 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [backup-simplify]: Simplify 1 into 1 0.980 * [backup-simplify]: Simplify (/ 3.0 1) into 3.0 0.980 * [backup-simplify]: Simplify 3.0 into 3.0 0.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 y)) into 0 0.981 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)))) into 0 0.981 * [taylor]: Taking taylor expansion of 0 in y 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)))) into 0 0.981 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 y))) into 0 0.982 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.982 * [taylor]: Taking taylor expansion of 0 in y 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify 0 into 0 0.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.983 * [backup-simplify]: Simplify 0 into 0 0.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.984 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 3.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.984 * [taylor]: Taking taylor expansion of 0 in y 0.985 * [backup-simplify]: Simplify 0 into 0 0.985 * [backup-simplify]: Simplify 0 into 0 0.985 * [backup-simplify]: Simplify 0 into 0 0.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.985 * [backup-simplify]: Simplify 0 into 0 0.985 * [backup-simplify]: Simplify (* 3.0 (* (/ 1 (/ 1 y)) (pow (/ 1 x) -2))) into (* 3.0 (* (pow x 2) y)) 0.986 * [backup-simplify]: Simplify (* (/ 1 (- x)) (* (* 3.0 (/ 1 (- x))) (/ 1 (- y)))) into (/ -3.0 (* (pow x 2) y)) 0.986 * [approximate]: Taking taylor expansion of (/ -3.0 (* (pow x 2) y)) in (x y) around 0 0.986 * [taylor]: Taking taylor expansion of (/ -3.0 (* (pow x 2) y)) in y 0.986 * [taylor]: Taking taylor expansion of -3.0 in y 0.986 * [backup-simplify]: Simplify -3.0 into -3.0 0.986 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in y 0.986 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.986 * [taylor]: Taking taylor expansion of x in y 0.986 * [backup-simplify]: Simplify x into x 0.986 * [taylor]: Taking taylor expansion of y in y 0.986 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify 1 into 1 0.986 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.986 * [backup-simplify]: Simplify (* (pow x 2) 0) into 0 0.986 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.986 * [backup-simplify]: Simplify (+ (* (pow x 2) 1) (* 0 0)) into (pow x 2) 0.987 * [backup-simplify]: Simplify (/ -3.0 (pow x 2)) into (/ -3.0 (pow x 2)) 0.987 * [taylor]: Taking taylor expansion of (/ -3.0 (* (pow x 2) y)) in x 0.987 * [taylor]: Taking taylor expansion of -3.0 in x 0.987 * [backup-simplify]: Simplify -3.0 into -3.0 0.987 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.987 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.987 * [taylor]: Taking taylor expansion of x in x 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify 1 into 1 0.987 * [taylor]: Taking taylor expansion of y in x 0.987 * [backup-simplify]: Simplify y into y 0.987 * [backup-simplify]: Simplify (* 1 1) into 1 0.987 * [backup-simplify]: Simplify (* 1 y) into y 0.987 * [backup-simplify]: Simplify (/ -3.0 y) into (/ -3.0 y) 0.987 * [taylor]: Taking taylor expansion of (/ -3.0 (* (pow x 2) y)) in x 0.987 * [taylor]: Taking taylor expansion of -3.0 in x 0.987 * [backup-simplify]: Simplify -3.0 into -3.0 0.987 * [taylor]: Taking taylor expansion of (* (pow x 2) y) in x 0.987 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.987 * [taylor]: Taking taylor expansion of x in x 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify 1 into 1 0.987 * [taylor]: Taking taylor expansion of y in x 0.987 * [backup-simplify]: Simplify y into y 0.988 * [backup-simplify]: Simplify (* 1 1) into 1 0.988 * [backup-simplify]: Simplify (* 1 y) into y 0.988 * [backup-simplify]: Simplify (/ -3.0 y) into (/ -3.0 y) 0.988 * [taylor]: Taking taylor expansion of (/ -3.0 y) in y 0.988 * [taylor]: Taking taylor expansion of -3.0 in y 0.988 * [backup-simplify]: Simplify -3.0 into -3.0 0.988 * [taylor]: Taking taylor expansion of y in y 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify 1 into 1 0.988 * [backup-simplify]: Simplify (/ -3.0 1) into -3.0 0.988 * [backup-simplify]: Simplify -3.0 into -3.0 0.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 y)) into 0 0.989 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -3.0 y) (/ 0 y)))) into 0 0.989 * [taylor]: Taking taylor expansion of 0 in y 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3.0 (/ 0 1)))) into 0 0.990 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 y))) into 0 0.991 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -3.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.991 * [taylor]: Taking taylor expansion of 0 in y 0.991 * [backup-simplify]: Simplify 0 into 0 0.991 * [backup-simplify]: Simplify 0 into 0 0.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.991 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.993 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -3.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.993 * [taylor]: Taking taylor expansion of 0 in y 0.993 * [backup-simplify]: Simplify 0 into 0 0.993 * [backup-simplify]: Simplify 0 into 0 0.993 * [backup-simplify]: Simplify 0 into 0 0.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.994 * [backup-simplify]: Simplify 0 into 0 0.994 * [backup-simplify]: Simplify (* -3.0 (* (/ 1 (/ 1 (- y))) (pow (/ 1 (- x)) -2))) into (* 3.0 (* (pow x 2) y)) 0.994 * * * [progress]: simplifying candidates 0.995 * [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)) 0.995 * [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)) 1.000 * * [simplify]: iteration 0 : 174 enodes (cost 202 ) 1.006 * * [simplify]: iteration 1 : 892 enodes (cost 159 ) 1.035 * * [simplify]: iteration 2 : 5002 enodes (cost 159 ) 1.037 * * * [progress]: adding candidates to table 1.107 * [progress]: [Phase 3 of 3] Extracting. 1.107 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 1.108 * * * [regime-changes]: Trying 3 branch expressions: ((* (* x 3.0) x) y x) 1.108 * * * * [regimes]: Trying to branch on (* (* x 3.0) x) from (# # # # # # # # # # #) 1.138 * * * * [regimes]: Trying to branch on (* (* x 3.0) x) from (# #) 1.150 * * * * [regimes]: Trying to branch on y from (# # # # # # # # # # #) 1.182 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # #) 1.213 * * * [regime]: Found split indices: #