2.954 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.029 * * * [progress]: [2/2] Setting up program. 0.031 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying: (exp (* (* x y) y)) 0.031 * [simplify]: Sending expressions to egg_math: (exp (* (* h0 h1) h1)) 0.034 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.035 * * [simplify]: iteration 1 : 22 enodes (cost 3 ) 0.037 * * [simplify]: iteration 2 : 40 enodes (cost 3 ) 0.038 * * [simplify]: iteration 3 : 83 enodes (cost 3 ) 0.040 * * [simplify]: iteration 4 : 201 enodes (cost 3 ) 0.044 * * [simplify]: iteration 5 : 572 enodes (cost 3 ) 0.057 * * [simplify]: iteration 6 : 3029 enodes (cost 3 ) 0.104 * * [simplify]: iteration 7 : 5001 enodes (cost 3 ) 0.104 * * [progress]: iteration 1 / 4 0.104 * * * [progress]: picking best candidate 0.106 * * * * [pick]: Picked # 0.106 * * * [progress]: localizing error 0.110 * * * [progress]: generating rewritten candidates 0.110 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.130 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.138 * * * [progress]: generating series expansions 0.138 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.138 * [backup-simplify]: Simplify (* (* x y) y) into (* x (pow y 2)) 0.138 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.138 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.139 * [taylor]: Taking taylor expansion of x in y 0.139 * [backup-simplify]: Simplify x into x 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.139 * [taylor]: Taking taylor expansion of y in y 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.139 * [taylor]: Taking taylor expansion of y in x 0.139 * [backup-simplify]: Simplify y into y 0.139 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.139 * [taylor]: Taking taylor expansion of y in x 0.139 * [backup-simplify]: Simplify y into y 0.139 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.139 * [backup-simplify]: Simplify (* 0 (pow y 2)) 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 0.139 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.140 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.140 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.140 * [taylor]: Taking taylor expansion of y in y 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (* 1 1) into 1 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.141 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) 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 (+ (* 1 0) (* 0 1)) into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.142 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.143 * [taylor]: Taking taylor expansion of 0 in y 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (* 1 (* (pow y 2) x)) into (* x (pow y 2)) 0.143 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ 1 (* x (pow y 2))) 0.143 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.143 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.143 * [taylor]: Taking taylor expansion of (* x (pow y 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 (pow y 2) in y 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 (* 1 1) into 1 0.143 * [backup-simplify]: Simplify (* x 1) into x 0.143 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.143 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.143 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [backup-simplify]: Simplify y into y 0.143 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.144 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.144 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.144 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.144 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.144 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.144 * [taylor]: Taking taylor expansion of (* x (pow y 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 (pow y 2) in x 0.144 * [taylor]: Taking taylor expansion of y in x 0.144 * [backup-simplify]: Simplify y into y 0.144 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.144 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.144 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.145 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.145 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in y 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 (* 1 1) into 1 0.145 * [backup-simplify]: Simplify (/ 1 1) into 1 0.145 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.146 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 0.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.146 * [taylor]: Taking taylor expansion of 0 in y 0.146 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.148 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.148 * [taylor]: Taking taylor expansion of 0 in y 0.148 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.151 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.151 * [taylor]: Taking taylor expansion of 0 in y 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.155 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 0.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.155 * [taylor]: Taking taylor expansion of 0 in y 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 x)))) into (* x (pow y 2)) 0.155 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (/ -1 (* x (pow y 2))) 0.156 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.156 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.156 * [taylor]: Taking taylor expansion of -1 in y 0.156 * [backup-simplify]: Simplify -1 into -1 0.156 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.156 * [taylor]: Taking taylor expansion of x in y 0.156 * [backup-simplify]: Simplify x into x 0.156 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.156 * [taylor]: Taking taylor expansion of y in y 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (* 1 1) into 1 0.156 * [backup-simplify]: Simplify (* x 1) into x 0.156 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.156 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.156 * [taylor]: Taking taylor expansion of -1 in x 0.156 * [backup-simplify]: Simplify -1 into -1 0.156 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.156 * [taylor]: Taking taylor expansion of y in x 0.156 * [backup-simplify]: Simplify y into y 0.156 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.156 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.156 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.157 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.157 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 0.157 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.157 * [taylor]: Taking taylor expansion of -1 in x 0.157 * [backup-simplify]: Simplify -1 into -1 0.157 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.157 * [taylor]: Taking taylor expansion of y in x 0.157 * [backup-simplify]: Simplify y into y 0.157 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.157 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.157 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.157 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.157 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 0.157 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.157 * [taylor]: Taking taylor expansion of -1 in y 0.157 * [backup-simplify]: Simplify -1 into -1 0.158 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (* 1 1) into 1 0.158 * [backup-simplify]: Simplify (/ -1 1) into -1 0.158 * [backup-simplify]: Simplify -1 into -1 0.158 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.159 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 0.159 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.159 * [taylor]: Taking taylor expansion of 0 in y 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.161 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.161 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.161 * [taylor]: Taking taylor expansion of 0 in y 0.161 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.164 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.164 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.164 * [taylor]: Taking taylor expansion of 0 in y 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.167 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 0.168 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.168 * [taylor]: Taking taylor expansion of 0 in y 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x))))) into (* x (pow y 2)) 0.168 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.168 * [backup-simplify]: Simplify (exp (* (* x y) y)) into (exp (* x (pow y 2))) 0.168 * [approximate]: Taking taylor expansion of (exp (* x (pow y 2))) in (x y) around 0 0.168 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 0.168 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.168 * [taylor]: Taking taylor expansion of x in y 0.168 * [backup-simplify]: Simplify x into x 0.168 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.168 * [taylor]: Taking taylor expansion of y in y 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (* 1 1) into 1 0.168 * [backup-simplify]: Simplify (* x 1) into x 0.169 * [backup-simplify]: Simplify (exp 0) into 1 0.169 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 0.169 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.169 * [taylor]: Taking taylor expansion of y in x 0.169 * [backup-simplify]: Simplify y into y 0.169 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.169 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.169 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.169 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.169 * [backup-simplify]: Simplify (exp 0) into 1 0.169 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 0.169 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.169 * [taylor]: Taking taylor expansion of y in x 0.169 * [backup-simplify]: Simplify y into y 0.169 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.169 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.169 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.170 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.170 * [backup-simplify]: Simplify (exp 0) into 1 0.170 * [taylor]: Taking taylor expansion of 1 in y 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 1) 1)))) into (pow y 2) 0.170 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.170 * [taylor]: Taking taylor expansion of y in y 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.171 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 0.171 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow y 4)) 0.172 * [taylor]: Taking taylor expansion of (* 1/2 (pow y 4)) in y 0.172 * [taylor]: Taking taylor expansion of 1/2 in y 0.172 * [backup-simplify]: Simplify 1/2 into 1/2 0.172 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.172 * [taylor]: Taking taylor expansion of y in y 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.173 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.174 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 3) 6)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow y 6)) 0.174 * [taylor]: Taking taylor expansion of (* 1/6 (pow y 6)) in y 0.174 * [taylor]: Taking taylor expansion of 1/6 in y 0.174 * [backup-simplify]: Simplify 1/6 into 1/6 0.174 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.174 * [taylor]: Taking taylor expansion of y in y 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (* 1 1) into 1 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.176 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.177 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 4) 24)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow y 8)) 0.177 * [taylor]: Taking taylor expansion of (* 1/24 (pow y 8)) in y 0.177 * [taylor]: Taking taylor expansion of 1/24 in y 0.177 * [backup-simplify]: Simplify 1/24 into 1/24 0.177 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.180 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 0.182 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 5) 120)) (* (/ (pow (pow y 2) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow y 10)) 0.182 * [taylor]: Taking taylor expansion of (* 1/120 (pow y 10)) in y 0.182 * [taylor]: Taking taylor expansion of 1/120 in y 0.182 * [backup-simplify]: Simplify 1/120 into 1/120 0.182 * [taylor]: Taking taylor expansion of (pow y 10) in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))))) into 0 0.185 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))))) into 0 0.189 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 6) 720)) (* (/ (pow (pow y 2) 4) 24) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 2) 2)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/720 (pow y 12)) 0.189 * [taylor]: Taking taylor expansion of (* 1/720 (pow y 12)) in y 0.189 * [taylor]: Taking taylor expansion of 1/720 in y 0.189 * [backup-simplify]: Simplify 1/720 into 1/720 0.189 * [taylor]: Taking taylor expansion of (pow y 12) in y 0.189 * [taylor]: Taking taylor expansion of y in y 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (* 1 1) into 1 0.190 * [backup-simplify]: Simplify (* 1 1) into 1 0.190 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.190 * [backup-simplify]: Simplify 1/2 into 1/2 0.190 * [backup-simplify]: Simplify (+ (* 1/2 (pow (* (pow y 2) x) 2)) (+ (* 1 (* (pow y 2) x)) 1)) into (+ (* x (pow y 2)) (+ (* 1/2 (* (pow x 2) (pow y 4))) 1)) 0.191 * [backup-simplify]: Simplify (exp (* (* (/ 1 x) (/ 1 y)) (/ 1 y))) into (exp (/ 1 (* x (pow y 2)))) 0.191 * [approximate]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in (x y) around 0 0.191 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.191 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.191 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.191 * [taylor]: Taking taylor expansion of x in y 0.191 * [backup-simplify]: Simplify x into x 0.191 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.191 * [taylor]: Taking taylor expansion of y in y 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (* 1 1) into 1 0.191 * [backup-simplify]: Simplify (* x 1) into x 0.191 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.191 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 0.191 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.191 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.191 * [taylor]: Taking taylor expansion of y in x 0.191 * [backup-simplify]: Simplify y into y 0.191 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.192 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.192 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.192 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.192 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.192 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 0.192 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.192 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.192 * [taylor]: Taking taylor expansion of y in x 0.192 * [backup-simplify]: Simplify y into y 0.192 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.192 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.192 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.193 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.193 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.193 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 0.193 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.193 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.193 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.193 * [taylor]: Taking taylor expansion of x in y 0.193 * [backup-simplify]: Simplify x into x 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.193 * [taylor]: Taking taylor expansion of y in y 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (* 1 1) into 1 0.193 * [backup-simplify]: Simplify (* x 1) into x 0.193 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.194 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 0.194 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 0.194 * [taylor]: Taking taylor expansion of 0 in y 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [taylor]: Taking taylor expansion of 0 in y 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [taylor]: Taking taylor expansion of 0 in y 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify (exp (/ 1 (* (/ 1 x) (pow (/ 1 y) 2)))) into (exp (* x (pow y 2))) 0.194 * [backup-simplify]: Simplify (exp (* (* (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y)))) into (exp (/ -1 (* x (pow y 2)))) 0.194 * [approximate]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in (x y) around 0 0.194 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.194 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.194 * [taylor]: Taking taylor expansion of -1 in y 0.194 * [backup-simplify]: Simplify -1 into -1 0.194 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.194 * [taylor]: Taking taylor expansion of x in y 0.194 * [backup-simplify]: Simplify x into x 0.194 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.194 * [taylor]: Taking taylor expansion of y in y 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (* 1 1) into 1 0.195 * [backup-simplify]: Simplify (* x 1) into x 0.195 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.195 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 0.195 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 0.195 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.195 * [taylor]: Taking taylor expansion of -1 in x 0.195 * [backup-simplify]: Simplify -1 into -1 0.195 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.195 * [taylor]: Taking taylor expansion of y in x 0.195 * [backup-simplify]: Simplify y into y 0.195 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.195 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.195 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.195 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.196 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 0.196 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 0.196 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 0.196 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.196 * [taylor]: Taking taylor expansion of -1 in x 0.196 * [backup-simplify]: Simplify -1 into -1 0.196 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.196 * [taylor]: Taking taylor expansion of y in x 0.196 * [backup-simplify]: Simplify y into y 0.196 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.196 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.196 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.196 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.196 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 0.197 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 0.197 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.197 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.197 * [taylor]: Taking taylor expansion of -1 in y 0.197 * [backup-simplify]: Simplify -1 into -1 0.197 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.197 * [taylor]: Taking taylor expansion of x in y 0.197 * [backup-simplify]: Simplify x into x 0.197 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.197 * [taylor]: Taking taylor expansion of y in y 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (* 1 1) into 1 0.197 * [backup-simplify]: Simplify (* x 1) into x 0.197 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.197 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 0.197 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 0.197 * [taylor]: Taking taylor expansion of 0 in y 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [taylor]: Taking taylor expansion of 0 in y 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [taylor]: Taking taylor expansion of 0 in y 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify (exp (/ -1 (* (/ 1 (- x)) (pow (/ 1 (- y)) 2)))) into (exp (* x (pow y 2))) 0.198 * * * [progress]: simplifying candidates 0.198 * [simplify]: Simplifying: (* (* x y) y) (* (* x y) y) (+ (+ (log x) (log y)) (log y)) (+ (log (* x y)) (log y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (* (* (* (* x y) (* x y)) (* x y)) (* (* y y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y y) (exp (* x y)) (log (exp (* (* x y) y))) (exp (exp (* (* x y) y))) (* (cbrt (exp (* (* x y) y))) (cbrt (exp (* (* x y) y)))) (cbrt (exp (* (* x y) y))) (* (* (exp (* (* x y) y)) (exp (* (* x y) y))) (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (+ (* x (pow y 2)) (+ (* 1/2 (* (pow x 2) (pow y 4))) 1)) (exp (* x (pow y 2))) (exp (* x (pow y 2))) 0.198 * [simplify]: Sending expressions to egg_math: (* (* h0 h1) h1) (* (* h0 h1) h1) (+ (+ (log h0) (log h1)) (log h1)) (+ (log (* h0 h1)) (log h1)) (log (* (* h0 h1) h1)) (exp (* (* h0 h1) h1)) (* (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* h1 h1) h1)) (* (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* h1 h1) h1)) (* (cbrt (* (* h0 h1) h1)) (cbrt (* (* h0 h1) h1))) (cbrt (* (* h0 h1) h1)) (* (* (* (* h0 h1) h1) (* (* h0 h1) h1)) (* (* h0 h1) h1)) (sqrt (* (* h0 h1) h1)) (sqrt (* (* h0 h1) h1)) (* (* h0 h1) (* (cbrt h1) (cbrt h1))) (* (* h0 h1) (sqrt h1)) (* (* h0 h1) 1) (* h1 h1) (exp (* h0 h1)) (log (exp (* (* h0 h1) h1))) (exp (exp (* (* h0 h1) h1))) (* (cbrt (exp (* (* h0 h1) h1))) (cbrt (exp (* (* h0 h1) h1)))) (cbrt (exp (* (* h0 h1) h1))) (* (* (exp (* (* h0 h1) h1)) (exp (* (* h0 h1) h1))) (exp (* (* h0 h1) h1))) (sqrt (exp (* (* h0 h1) h1))) (sqrt (exp (* (* h0 h1) h1))) (* h0 (pow h1 2)) (* h0 (pow h1 2)) (* h0 (pow h1 2)) (+ (* h0 (pow h1 2)) (+ (* 1/2 (* (pow h0 2) (pow h1 4))) 1)) (exp (* h0 (pow h1 2))) (exp (* h0 (pow h1 2))) 0.201 * * [simplify]: iteration 0 : 131 enodes (cost 125 ) 0.205 * * [simplify]: iteration 1 : 614 enodes (cost 104 ) 0.219 * * [simplify]: iteration 2 : 3052 enodes (cost 104 ) 0.286 * * [simplify]: iteration 3 : 5001 enodes (cost 104 ) 0.287 * * * [progress]: adding candidates to table 0.339 * * [progress]: iteration 2 / 4 0.340 * * * [progress]: picking best candidate 0.341 * * * * [pick]: Picked # 0.341 * * * [progress]: localizing error 0.346 * * * [progress]: generating rewritten candidates 0.347 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.358 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.365 * * * [progress]: generating series expansions 0.365 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.365 * [backup-simplify]: Simplify (* x (pow y 2)) into (* x (pow y 2)) 0.365 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.365 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.365 * [taylor]: Taking taylor expansion of x in y 0.365 * [backup-simplify]: Simplify x into x 0.365 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.365 * [taylor]: Taking taylor expansion of y in y 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 1 into 1 0.365 * [taylor]: Taking taylor expansion of (* x (pow y 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 (pow y 2) in x 0.366 * [taylor]: Taking taylor expansion of y in x 0.366 * [backup-simplify]: Simplify y into y 0.366 * [taylor]: Taking taylor expansion of (* x (pow y 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 (pow y 2) in x 0.366 * [taylor]: Taking taylor expansion of y in x 0.366 * [backup-simplify]: Simplify y into y 0.366 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.366 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.366 * [taylor]: Taking taylor expansion of 0 in y 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.366 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.367 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [backup-simplify]: Simplify (* 1 1) into 1 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.368 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) 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 into 0 0.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.370 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.370 * [taylor]: Taking taylor expansion of 0 in y 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify (* 1 (* (pow y 2) x)) into (* x (pow y 2)) 0.370 * [backup-simplify]: Simplify (* (/ 1 x) (pow (/ 1 y) 2)) into (/ 1 (* x (pow y 2))) 0.370 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.370 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.370 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.370 * [taylor]: Taking taylor expansion of x in y 0.370 * [backup-simplify]: Simplify x into x 0.370 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (* 1 1) into 1 0.370 * [backup-simplify]: Simplify (* x 1) into x 0.370 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.370 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.370 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.370 * [taylor]: Taking taylor expansion of y in x 0.370 * [backup-simplify]: Simplify y into y 0.371 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.371 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.371 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.371 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.371 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.371 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.371 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 1 into 1 0.371 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.371 * [taylor]: Taking taylor expansion of y in x 0.371 * [backup-simplify]: Simplify y into y 0.371 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.371 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.372 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.372 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.372 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.372 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.372 * [taylor]: Taking taylor expansion of y in y 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (* 1 1) into 1 0.373 * [backup-simplify]: Simplify (/ 1 1) into 1 0.373 * [backup-simplify]: Simplify 1 into 1 0.373 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.373 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 0.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.374 * [taylor]: Taking taylor expansion of 0 in y 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.376 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.376 * [taylor]: Taking taylor expansion of 0 in y 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.378 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.379 * [taylor]: Taking taylor expansion of 0 in y 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.382 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 0.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.382 * [taylor]: Taking taylor expansion of 0 in y 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 x)))) into (* x (pow y 2)) 0.383 * [backup-simplify]: Simplify (* (/ 1 (- x)) (pow (/ 1 (- y)) 2)) into (/ -1 (* x (pow y 2))) 0.383 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.383 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.383 * [taylor]: Taking taylor expansion of -1 in y 0.383 * [backup-simplify]: Simplify -1 into -1 0.383 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.383 * [taylor]: Taking taylor expansion of x in y 0.383 * [backup-simplify]: Simplify x into x 0.383 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.383 * [taylor]: Taking taylor expansion of y in y 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [backup-simplify]: Simplify (* 1 1) into 1 0.383 * [backup-simplify]: Simplify (* x 1) into x 0.383 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.383 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.383 * [taylor]: Taking taylor expansion of -1 in x 0.383 * [backup-simplify]: Simplify -1 into -1 0.383 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.383 * [taylor]: Taking taylor expansion of y in x 0.383 * [backup-simplify]: Simplify y into y 0.383 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.383 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.383 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.384 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.384 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 0.384 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.384 * [taylor]: Taking taylor expansion of -1 in x 0.384 * [backup-simplify]: Simplify -1 into -1 0.384 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.384 * [taylor]: Taking taylor expansion of y in x 0.384 * [backup-simplify]: Simplify y into y 0.384 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.384 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.384 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.385 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.385 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 0.385 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.385 * [taylor]: Taking taylor expansion of -1 in y 0.385 * [backup-simplify]: Simplify -1 into -1 0.385 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.385 * [taylor]: Taking taylor expansion of y in y 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 1 into 1 0.385 * [backup-simplify]: Simplify (* 1 1) into 1 0.385 * [backup-simplify]: Simplify (/ -1 1) into -1 0.385 * [backup-simplify]: Simplify -1 into -1 0.386 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.386 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 0.386 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.386 * [taylor]: Taking taylor expansion of 0 in y 0.386 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.387 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.388 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.389 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.389 * [taylor]: Taking taylor expansion of 0 in y 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.391 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.392 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.392 * [taylor]: Taking taylor expansion of 0 in y 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.395 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 0.395 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.395 * [taylor]: Taking taylor expansion of 0 in y 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x))))) into (* x (pow y 2)) 0.396 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.396 * [backup-simplify]: Simplify (exp (* x (pow y 2))) into (exp (* x (pow y 2))) 0.396 * [approximate]: Taking taylor expansion of (exp (* x (pow y 2))) in (x y) around 0 0.396 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 0.396 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.396 * [taylor]: Taking taylor expansion of x in y 0.396 * [backup-simplify]: Simplify x into x 0.396 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [backup-simplify]: Simplify (* 1 1) into 1 0.396 * [backup-simplify]: Simplify (* x 1) into x 0.396 * [backup-simplify]: Simplify (exp 0) into 1 0.396 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 0.396 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.396 * [taylor]: Taking taylor expansion of y in x 0.396 * [backup-simplify]: Simplify y into y 0.397 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.397 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.397 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.397 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.397 * [backup-simplify]: Simplify (exp 0) into 1 0.397 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 0.397 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify 1 into 1 0.397 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.397 * [taylor]: Taking taylor expansion of y in x 0.397 * [backup-simplify]: Simplify y into y 0.397 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.397 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.398 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.398 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.398 * [backup-simplify]: Simplify (exp 0) into 1 0.398 * [taylor]: Taking taylor expansion of 1 in y 0.398 * [backup-simplify]: Simplify 1 into 1 0.398 * [backup-simplify]: Simplify 1 into 1 0.398 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 1) 1)))) into (pow y 2) 0.398 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.398 * [taylor]: Taking taylor expansion of y in y 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify 1 into 1 0.398 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.399 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 0.400 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow y 4)) 0.400 * [taylor]: Taking taylor expansion of (* 1/2 (pow y 4)) in y 0.400 * [taylor]: Taking taylor expansion of 1/2 in y 0.400 * [backup-simplify]: Simplify 1/2 into 1/2 0.400 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.400 * [taylor]: Taking taylor expansion of y in y 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify 1 into 1 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.401 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.402 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 3) 6)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow y 6)) 0.402 * [taylor]: Taking taylor expansion of (* 1/6 (pow y 6)) in y 0.402 * [taylor]: Taking taylor expansion of 1/6 in y 0.402 * [backup-simplify]: Simplify 1/6 into 1/6 0.402 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.402 * [taylor]: Taking taylor expansion of y in y 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 1 into 1 0.402 * [backup-simplify]: Simplify (* 1 1) into 1 0.402 * [backup-simplify]: Simplify 1 into 1 0.402 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.404 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.406 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 4) 24)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow y 8)) 0.406 * [taylor]: Taking taylor expansion of (* 1/24 (pow y 8)) in y 0.406 * [taylor]: Taking taylor expansion of 1/24 in y 0.406 * [backup-simplify]: Simplify 1/24 into 1/24 0.406 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.408 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 0.411 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 5) 120)) (* (/ (pow (pow y 2) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow y 10)) 0.411 * [taylor]: Taking taylor expansion of (* 1/120 (pow y 10)) in y 0.411 * [taylor]: Taking taylor expansion of 1/120 in y 0.411 * [backup-simplify]: Simplify 1/120 into 1/120 0.411 * [taylor]: Taking taylor expansion of (pow y 10) in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))))) into 0 0.414 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))))) into 0 0.418 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 6) 720)) (* (/ (pow (pow y 2) 4) 24) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 2) 2)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/720 (pow y 12)) 0.418 * [taylor]: Taking taylor expansion of (* 1/720 (pow y 12)) in y 0.418 * [taylor]: Taking taylor expansion of 1/720 in y 0.418 * [backup-simplify]: Simplify 1/720 into 1/720 0.418 * [taylor]: Taking taylor expansion of (pow y 12) in y 0.418 * [taylor]: Taking taylor expansion of y in y 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify (* 1 1) into 1 0.419 * [backup-simplify]: Simplify (* 1 1) into 1 0.419 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.419 * [backup-simplify]: Simplify 1/2 into 1/2 0.420 * [backup-simplify]: Simplify (+ (* 1/2 (pow (* (pow y 2) x) 2)) (+ (* 1 (* (pow y 2) x)) 1)) into (+ (* x (pow y 2)) (+ (* 1/2 (* (pow x 2) (pow y 4))) 1)) 0.420 * [backup-simplify]: Simplify (exp (* (/ 1 x) (pow (/ 1 y) 2))) into (exp (/ 1 (* x (pow y 2)))) 0.420 * [approximate]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in (x y) around 0 0.420 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.420 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.420 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.420 * [taylor]: Taking taylor expansion of x in y 0.420 * [backup-simplify]: Simplify x into x 0.420 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.420 * [taylor]: Taking taylor expansion of y in y 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (* 1 1) into 1 0.420 * [backup-simplify]: Simplify (* x 1) into x 0.420 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.420 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 0.420 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.420 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.420 * [taylor]: Taking taylor expansion of y in x 0.421 * [backup-simplify]: Simplify y into y 0.421 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.421 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.421 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.421 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.421 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.421 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 0.421 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.421 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.421 * [taylor]: Taking taylor expansion of y in x 0.421 * [backup-simplify]: Simplify y into y 0.421 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.421 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.421 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.422 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.422 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.422 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 0.422 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.422 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.422 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.422 * [taylor]: Taking taylor expansion of x in y 0.422 * [backup-simplify]: Simplify x into x 0.422 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.422 * [taylor]: Taking taylor expansion of y in y 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (* 1 1) into 1 0.422 * [backup-simplify]: Simplify (* x 1) into x 0.422 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.423 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 0.423 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 0.423 * [taylor]: Taking taylor expansion of 0 in y 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [taylor]: Taking taylor expansion of 0 in y 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [taylor]: Taking taylor expansion of 0 in y 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (exp (/ 1 (* (/ 1 x) (pow (/ 1 y) 2)))) into (exp (* x (pow y 2))) 0.427 * [backup-simplify]: Simplify (exp (* (/ 1 (- x)) (pow (/ 1 (- y)) 2))) into (exp (/ -1 (* x (pow y 2)))) 0.427 * [approximate]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in (x y) around 0 0.427 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.427 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.427 * [taylor]: Taking taylor expansion of -1 in y 0.427 * [backup-simplify]: Simplify -1 into -1 0.427 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.427 * [taylor]: Taking taylor expansion of x in y 0.427 * [backup-simplify]: Simplify x into x 0.427 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.427 * [taylor]: Taking taylor expansion of y in y 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify (* 1 1) into 1 0.427 * [backup-simplify]: Simplify (* x 1) into x 0.427 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.428 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 0.428 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 0.428 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.428 * [taylor]: Taking taylor expansion of -1 in x 0.428 * [backup-simplify]: Simplify -1 into -1 0.428 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 1 into 1 0.428 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.428 * [taylor]: Taking taylor expansion of y in x 0.428 * [backup-simplify]: Simplify y into y 0.428 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.428 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.428 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.428 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.428 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 0.429 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 0.429 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 0.429 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.429 * [taylor]: Taking taylor expansion of -1 in x 0.429 * [backup-simplify]: Simplify -1 into -1 0.429 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.429 * [taylor]: Taking taylor expansion of y in x 0.429 * [backup-simplify]: Simplify y into y 0.429 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.429 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.429 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.429 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.429 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 0.429 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 0.429 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.430 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.430 * [taylor]: Taking taylor expansion of -1 in y 0.430 * [backup-simplify]: Simplify -1 into -1 0.430 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.430 * [taylor]: Taking taylor expansion of x in y 0.430 * [backup-simplify]: Simplify x into x 0.430 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.430 * [taylor]: Taking taylor expansion of y in y 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 1 into 1 0.430 * [backup-simplify]: Simplify (* 1 1) into 1 0.430 * [backup-simplify]: Simplify (* x 1) into x 0.430 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.430 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 0.430 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 0.430 * [taylor]: Taking taylor expansion of 0 in y 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [taylor]: Taking taylor expansion of 0 in y 0.430 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [taylor]: Taking taylor expansion of 0 in y 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify (exp (/ -1 (* (/ 1 (- x)) (pow (/ 1 (- y)) 2)))) into (exp (* x (pow y 2))) 0.431 * * * [progress]: simplifying candidates 0.431 * [simplify]: Simplifying: (+ (log x) (* (log y) 2)) (+ (log x) (* (log y) 2)) (+ (log x) (log (pow y 2))) (log (* x (pow y 2))) (exp (* x (pow y 2))) (* (* (* x x) x) (* (* (pow y 2) (pow y 2)) (pow y 2))) (* (cbrt (* x (pow y 2))) (cbrt (* x (pow y 2)))) (cbrt (* x (pow y 2))) (* (* (* x (pow y 2)) (* x (pow y 2))) (* x (pow y 2))) (sqrt (* x (pow y 2))) (sqrt (* x (pow y 2))) (* (sqrt x) (pow (sqrt y) 2)) (* (sqrt x) (pow (sqrt y) 2)) (* (sqrt x) y) (* (sqrt x) y) (* (sqrt x) (sqrt (pow y 2))) (* (sqrt x) (sqrt (pow y 2))) (* (sqrt x) (pow y (/ 2 2))) (* (sqrt x) (pow y (/ 2 2))) (* x (pow (* (cbrt y) (cbrt y)) 2)) (* x (pow (sqrt y) 2)) (* x (pow 1 2)) (* x y) (* x (* (cbrt (pow y 2)) (cbrt (pow y 2)))) (* x (sqrt (pow y 2))) (* x 1) (* x (pow y (/ 2 2))) (* (cbrt x) (pow y 2)) (* (sqrt x) (pow y 2)) (* x (pow y 2)) (exp x) (log (exp (* x (pow y 2)))) (exp (exp (* x (pow y 2)))) (* (cbrt (exp (* x (pow y 2)))) (cbrt (exp (* x (pow y 2))))) (cbrt (exp (* x (pow y 2)))) (* (* (exp (* x (pow y 2))) (exp (* x (pow y 2)))) (exp (* x (pow y 2)))) (sqrt (exp (* x (pow y 2)))) (sqrt (exp (* x (pow y 2)))) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (+ (* x (pow y 2)) (+ (* 1/2 (* (pow x 2) (pow y 4))) 1)) (exp (* x (pow y 2))) (exp (* x (pow y 2))) 0.432 * [simplify]: Sending expressions to egg_math: (+ (log h0) (* (log h1) 2)) (+ (log h0) (* (log h1) 2)) (+ (log h0) (log (pow h1 2))) (log (* h0 (pow h1 2))) (exp (* h0 (pow h1 2))) (* (* (* h0 h0) h0) (* (* (pow h1 2) (pow h1 2)) (pow h1 2))) (* (cbrt (* h0 (pow h1 2))) (cbrt (* h0 (pow h1 2)))) (cbrt (* h0 (pow h1 2))) (* (* (* h0 (pow h1 2)) (* h0 (pow h1 2))) (* h0 (pow h1 2))) (sqrt (* h0 (pow h1 2))) (sqrt (* h0 (pow h1 2))) (* (sqrt h0) (pow (sqrt h1) 2)) (* (sqrt h0) (pow (sqrt h1) 2)) (* (sqrt h0) h1) (* (sqrt h0) h1) (* (sqrt h0) (sqrt (pow h1 2))) (* (sqrt h0) (sqrt (pow h1 2))) (* (sqrt h0) (pow h1 (/ 2 2))) (* (sqrt h0) (pow h1 (/ 2 2))) (* h0 (pow (* (cbrt h1) (cbrt h1)) 2)) (* h0 (pow (sqrt h1) 2)) (* h0 (pow 1 2)) (* h0 h1) (* h0 (* (cbrt (pow h1 2)) (cbrt (pow h1 2)))) (* h0 (sqrt (pow h1 2))) (* h0 1) (* h0 (pow h1 (/ 2 2))) (* (cbrt h0) (pow h1 2)) (* (sqrt h0) (pow h1 2)) (* h0 (pow h1 2)) (exp h0) (log (exp (* h0 (pow h1 2)))) (exp (exp (* h0 (pow h1 2)))) (* (cbrt (exp (* h0 (pow h1 2)))) (cbrt (exp (* h0 (pow h1 2))))) (cbrt (exp (* h0 (pow h1 2)))) (* (* (exp (* h0 (pow h1 2))) (exp (* h0 (pow h1 2)))) (exp (* h0 (pow h1 2)))) (sqrt (exp (* h0 (pow h1 2)))) (sqrt (exp (* h0 (pow h1 2)))) (* h0 (pow h1 2)) (* h0 (pow h1 2)) (* h0 (pow h1 2)) (+ (* h0 (pow h1 2)) (+ (* 1/2 (* (pow h0 2) (pow h1 4))) 1)) (exp (* h0 (pow h1 2))) (exp (* h0 (pow h1 2))) 0.435 * * [simplify]: iteration 0 : 139 enodes (cost 154 ) 0.438 * * [simplify]: iteration 1 : 554 enodes (cost 133 ) 0.452 * * [simplify]: iteration 2 : 2913 enodes (cost 130 ) 0.551 * * [simplify]: iteration 3 : 5001 enodes (cost 129 ) 0.552 * * * [progress]: adding candidates to table 0.619 * * [progress]: iteration 3 / 4 0.619 * * * [progress]: picking best candidate 0.621 * * * * [pick]: Picked # 0.621 * * * [progress]: localizing error 0.630 * * * [progress]: generating rewritten candidates 0.630 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.642 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 0.656 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 0.667 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.675 * * * [progress]: generating series expansions 0.676 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.676 * [backup-simplify]: Simplify (* x (pow y 2)) into (* x (pow y 2)) 0.676 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.676 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.676 * [taylor]: Taking taylor expansion of x in y 0.676 * [backup-simplify]: Simplify x into x 0.676 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.676 * [taylor]: Taking taylor expansion of y in y 0.676 * [backup-simplify]: Simplify 0 into 0 0.676 * [backup-simplify]: Simplify 1 into 1 0.676 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.676 * [backup-simplify]: Simplify 0 into 0 0.676 * [backup-simplify]: Simplify 1 into 1 0.676 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.676 * [taylor]: Taking taylor expansion of y in x 0.676 * [backup-simplify]: Simplify y into y 0.676 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.676 * [backup-simplify]: Simplify 0 into 0 0.676 * [backup-simplify]: Simplify 1 into 1 0.676 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.676 * [taylor]: Taking taylor expansion of y in x 0.676 * [backup-simplify]: Simplify y into y 0.676 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.676 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.676 * [taylor]: Taking taylor expansion of 0 in y 0.676 * [backup-simplify]: Simplify 0 into 0 0.676 * [backup-simplify]: Simplify 0 into 0 0.676 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.677 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.677 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.677 * [taylor]: Taking taylor expansion of y in y 0.677 * [backup-simplify]: Simplify 0 into 0 0.677 * [backup-simplify]: Simplify 1 into 1 0.677 * [backup-simplify]: Simplify (* 1 1) into 1 0.677 * [backup-simplify]: Simplify 1 into 1 0.677 * [backup-simplify]: Simplify 0 into 0 0.678 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.678 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 0.678 * [taylor]: Taking taylor expansion of 0 in y 0.678 * [backup-simplify]: Simplify 0 into 0 0.678 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.680 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.680 * [taylor]: Taking taylor expansion of 0 in y 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify (* 1 (* (pow y 2) x)) into (* x (pow y 2)) 0.680 * [backup-simplify]: Simplify (* (/ 1 x) (pow (/ 1 y) 2)) into (/ 1 (* x (pow y 2))) 0.680 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.680 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.680 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.680 * [taylor]: Taking taylor expansion of x in y 0.680 * [backup-simplify]: Simplify x into x 0.680 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.681 * [taylor]: Taking taylor expansion of y in y 0.681 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify 1 into 1 0.681 * [backup-simplify]: Simplify (* 1 1) into 1 0.681 * [backup-simplify]: Simplify (* x 1) into x 0.681 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.681 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.681 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.681 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify 1 into 1 0.681 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.681 * [taylor]: Taking taylor expansion of y in x 0.681 * [backup-simplify]: Simplify y into y 0.681 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.681 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.681 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.682 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.682 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.682 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.682 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 1 into 1 0.682 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.682 * [taylor]: Taking taylor expansion of y in x 0.682 * [backup-simplify]: Simplify y into y 0.682 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.682 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.682 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.682 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.682 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.682 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.682 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.682 * [taylor]: Taking taylor expansion of y in y 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 1 into 1 0.683 * [backup-simplify]: Simplify (* 1 1) into 1 0.683 * [backup-simplify]: Simplify (/ 1 1) into 1 0.683 * [backup-simplify]: Simplify 1 into 1 0.683 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.684 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 0.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.684 * [taylor]: Taking taylor expansion of 0 in y 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.686 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.686 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.686 * [taylor]: Taking taylor expansion of 0 in y 0.686 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.687 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.689 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.689 * [taylor]: Taking taylor expansion of 0 in y 0.689 * [backup-simplify]: Simplify 0 into 0 0.689 * [backup-simplify]: Simplify 0 into 0 0.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.690 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.693 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 0.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.693 * [taylor]: Taking taylor expansion of 0 in y 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 x)))) into (* x (pow y 2)) 0.694 * [backup-simplify]: Simplify (* (/ 1 (- x)) (pow (/ 1 (- y)) 2)) into (/ -1 (* x (pow y 2))) 0.694 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.694 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.694 * [taylor]: Taking taylor expansion of -1 in y 0.694 * [backup-simplify]: Simplify -1 into -1 0.694 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.694 * [taylor]: Taking taylor expansion of x in y 0.694 * [backup-simplify]: Simplify x into x 0.694 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.694 * [taylor]: Taking taylor expansion of y in y 0.694 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify 1 into 1 0.694 * [backup-simplify]: Simplify (* 1 1) into 1 0.694 * [backup-simplify]: Simplify (* x 1) into x 0.694 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.694 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.694 * [taylor]: Taking taylor expansion of -1 in x 0.694 * [backup-simplify]: Simplify -1 into -1 0.694 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.694 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify 1 into 1 0.694 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.694 * [taylor]: Taking taylor expansion of y in x 0.694 * [backup-simplify]: Simplify y into y 0.694 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.694 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.694 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.695 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.695 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 0.695 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.695 * [taylor]: Taking taylor expansion of -1 in x 0.695 * [backup-simplify]: Simplify -1 into -1 0.695 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [backup-simplify]: Simplify 0 into 0 0.695 * [backup-simplify]: Simplify 1 into 1 0.695 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.695 * [taylor]: Taking taylor expansion of y in x 0.695 * [backup-simplify]: Simplify y into y 0.695 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.695 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.695 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.696 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.696 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 0.696 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.696 * [taylor]: Taking taylor expansion of -1 in y 0.696 * [backup-simplify]: Simplify -1 into -1 0.696 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.696 * [taylor]: Taking taylor expansion of y in y 0.696 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify 1 into 1 0.696 * [backup-simplify]: Simplify (* 1 1) into 1 0.696 * [backup-simplify]: Simplify (/ -1 1) into -1 0.697 * [backup-simplify]: Simplify -1 into -1 0.697 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.697 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 0.698 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.698 * [taylor]: Taking taylor expansion of 0 in y 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.699 * [backup-simplify]: Simplify 0 into 0 0.699 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.700 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.700 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.700 * [taylor]: Taking taylor expansion of 0 in y 0.700 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.701 * [backup-simplify]: Simplify 0 into 0 0.702 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.703 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.703 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.703 * [taylor]: Taking taylor expansion of 0 in y 0.703 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.705 * [backup-simplify]: Simplify 0 into 0 0.705 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.706 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 0.707 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.707 * [taylor]: Taking taylor expansion of 0 in y 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x))))) into (* x (pow y 2)) 0.707 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 0.707 * [backup-simplify]: Simplify (* x (pow y 2)) into (* x (pow y 2)) 0.707 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.707 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.707 * [taylor]: Taking taylor expansion of x in y 0.707 * [backup-simplify]: Simplify x into x 0.707 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.707 * [taylor]: Taking taylor expansion of y in y 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 1 into 1 0.707 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 1 into 1 0.707 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.708 * [taylor]: Taking taylor expansion of y in x 0.708 * [backup-simplify]: Simplify y into y 0.708 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.708 * [taylor]: Taking taylor expansion of x in x 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 1 into 1 0.708 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.708 * [taylor]: Taking taylor expansion of y in x 0.708 * [backup-simplify]: Simplify y into y 0.708 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.708 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.708 * [taylor]: Taking taylor expansion of 0 in y 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.708 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.708 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.708 * [taylor]: Taking taylor expansion of y in y 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify (* 1 1) into 1 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.709 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 0.709 * [taylor]: Taking taylor expansion of 0 in y 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 0 into 0 0.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.710 * [backup-simplify]: Simplify 0 into 0 0.710 * [backup-simplify]: Simplify 0 into 0 0.710 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.711 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.711 * [taylor]: Taking taylor expansion of 0 in y 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify (* 1 (* (pow y 2) x)) into (* x (pow y 2)) 0.711 * [backup-simplify]: Simplify (* (/ 1 x) (pow (/ 1 y) 2)) into (/ 1 (* x (pow y 2))) 0.711 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.711 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.711 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.711 * [taylor]: Taking taylor expansion of x in y 0.711 * [backup-simplify]: Simplify x into x 0.711 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.711 * [taylor]: Taking taylor expansion of y in y 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify 1 into 1 0.712 * [backup-simplify]: Simplify (* 1 1) into 1 0.712 * [backup-simplify]: Simplify (* x 1) into x 0.712 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.712 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.712 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.712 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify 1 into 1 0.712 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.712 * [taylor]: Taking taylor expansion of y in x 0.712 * [backup-simplify]: Simplify y into y 0.712 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.712 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.712 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.712 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.712 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.712 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.712 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify 1 into 1 0.713 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.713 * [taylor]: Taking taylor expansion of y in x 0.713 * [backup-simplify]: Simplify y into y 0.713 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.713 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.713 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.713 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.713 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.713 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.713 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.713 * [taylor]: Taking taylor expansion of y in y 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify 1 into 1 0.714 * [backup-simplify]: Simplify (* 1 1) into 1 0.714 * [backup-simplify]: Simplify (/ 1 1) into 1 0.714 * [backup-simplify]: Simplify 1 into 1 0.714 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.715 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 0.715 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.715 * [taylor]: Taking taylor expansion of 0 in y 0.715 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.716 * [backup-simplify]: Simplify 0 into 0 0.716 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.717 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.717 * [taylor]: Taking taylor expansion of 0 in y 0.717 * [backup-simplify]: Simplify 0 into 0 0.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.718 * [backup-simplify]: Simplify 0 into 0 0.719 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.719 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.720 * [taylor]: Taking taylor expansion of 0 in y 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.721 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.723 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 0.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.723 * [taylor]: Taking taylor expansion of 0 in y 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 x)))) into (* x (pow y 2)) 0.724 * [backup-simplify]: Simplify (* (/ 1 (- x)) (pow (/ 1 (- y)) 2)) into (/ -1 (* x (pow y 2))) 0.724 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.724 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.724 * [taylor]: Taking taylor expansion of -1 in y 0.724 * [backup-simplify]: Simplify -1 into -1 0.724 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.724 * [taylor]: Taking taylor expansion of x in y 0.724 * [backup-simplify]: Simplify x into x 0.724 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.724 * [taylor]: Taking taylor expansion of y in y 0.724 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify 1 into 1 0.724 * [backup-simplify]: Simplify (* 1 1) into 1 0.724 * [backup-simplify]: Simplify (* x 1) into x 0.724 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.724 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.724 * [taylor]: Taking taylor expansion of -1 in x 0.724 * [backup-simplify]: Simplify -1 into -1 0.724 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.724 * [taylor]: Taking taylor expansion of x in x 0.724 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify 1 into 1 0.724 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.724 * [taylor]: Taking taylor expansion of y in x 0.724 * [backup-simplify]: Simplify y into y 0.724 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.724 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.725 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.725 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.725 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 0.725 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.725 * [taylor]: Taking taylor expansion of -1 in x 0.725 * [backup-simplify]: Simplify -1 into -1 0.725 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 1 into 1 0.725 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.725 * [taylor]: Taking taylor expansion of y in x 0.725 * [backup-simplify]: Simplify y into y 0.725 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.725 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.725 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.726 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.726 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 0.726 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.726 * [taylor]: Taking taylor expansion of -1 in y 0.726 * [backup-simplify]: Simplify -1 into -1 0.726 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.726 * [taylor]: Taking taylor expansion of y in y 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify 1 into 1 0.726 * [backup-simplify]: Simplify (* 1 1) into 1 0.726 * [backup-simplify]: Simplify (/ -1 1) into -1 0.726 * [backup-simplify]: Simplify -1 into -1 0.727 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.727 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 0.727 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.727 * [taylor]: Taking taylor expansion of 0 in y 0.727 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.732 * [backup-simplify]: Simplify 0 into 0 0.733 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.733 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.734 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.734 * [taylor]: Taking taylor expansion of 0 in y 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.735 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.737 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.737 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.737 * [taylor]: Taking taylor expansion of 0 in y 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.738 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.740 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 0.741 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.741 * [taylor]: Taking taylor expansion of 0 in y 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x))))) into (* x (pow y 2)) 0.741 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 0.741 * [backup-simplify]: Simplify (* x (pow y 2)) into (* x (pow y 2)) 0.741 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.741 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.741 * [taylor]: Taking taylor expansion of x in y 0.741 * [backup-simplify]: Simplify x into x 0.741 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.741 * [taylor]: Taking taylor expansion of y in y 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 1 into 1 0.741 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 1 into 1 0.741 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.741 * [taylor]: Taking taylor expansion of y in x 0.741 * [backup-simplify]: Simplify y into y 0.741 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 1 into 1 0.741 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.741 * [taylor]: Taking taylor expansion of y in x 0.741 * [backup-simplify]: Simplify y into y 0.742 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.742 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.742 * [taylor]: Taking taylor expansion of 0 in y 0.742 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.742 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.742 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.742 * [taylor]: Taking taylor expansion of y in y 0.742 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify 1 into 1 0.742 * [backup-simplify]: Simplify (* 1 1) into 1 0.742 * [backup-simplify]: Simplify 1 into 1 0.742 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.743 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 0.743 * [taylor]: Taking taylor expansion of 0 in y 0.743 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.745 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.745 * [taylor]: Taking taylor expansion of 0 in y 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify (* 1 (* (pow y 2) x)) into (* x (pow y 2)) 0.745 * [backup-simplify]: Simplify (* (/ 1 x) (pow (/ 1 y) 2)) into (/ 1 (* x (pow y 2))) 0.745 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.745 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.745 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.745 * [taylor]: Taking taylor expansion of x in y 0.745 * [backup-simplify]: Simplify x into x 0.745 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.745 * [taylor]: Taking taylor expansion of y in y 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 1 into 1 0.745 * [backup-simplify]: Simplify (* 1 1) into 1 0.746 * [backup-simplify]: Simplify (* x 1) into x 0.746 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.746 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.746 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.746 * [taylor]: Taking taylor expansion of x in x 0.746 * [backup-simplify]: Simplify 0 into 0 0.746 * [backup-simplify]: Simplify 1 into 1 0.746 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.746 * [taylor]: Taking taylor expansion of y in x 0.746 * [backup-simplify]: Simplify y into y 0.746 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.746 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.746 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.746 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.746 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.746 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.746 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.746 * [taylor]: Taking taylor expansion of x in x 0.746 * [backup-simplify]: Simplify 0 into 0 0.746 * [backup-simplify]: Simplify 1 into 1 0.746 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.746 * [taylor]: Taking taylor expansion of y in x 0.746 * [backup-simplify]: Simplify y into y 0.746 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.747 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.747 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.747 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.747 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.747 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.747 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.747 * [taylor]: Taking taylor expansion of y in y 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify 1 into 1 0.747 * [backup-simplify]: Simplify (* 1 1) into 1 0.748 * [backup-simplify]: Simplify (/ 1 1) into 1 0.748 * [backup-simplify]: Simplify 1 into 1 0.748 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.748 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 0.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.749 * [taylor]: Taking taylor expansion of 0 in y 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.749 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.751 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.751 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.751 * [taylor]: Taking taylor expansion of 0 in y 0.751 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.752 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.754 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.754 * [taylor]: Taking taylor expansion of 0 in y 0.754 * [backup-simplify]: Simplify 0 into 0 0.754 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.755 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.757 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 0.758 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.758 * [taylor]: Taking taylor expansion of 0 in y 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 x)))) into (* x (pow y 2)) 0.758 * [backup-simplify]: Simplify (* (/ 1 (- x)) (pow (/ 1 (- y)) 2)) into (/ -1 (* x (pow y 2))) 0.758 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.758 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.758 * [taylor]: Taking taylor expansion of -1 in y 0.758 * [backup-simplify]: Simplify -1 into -1 0.758 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.758 * [taylor]: Taking taylor expansion of x in y 0.758 * [backup-simplify]: Simplify x into x 0.758 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.758 * [taylor]: Taking taylor expansion of y in y 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [backup-simplify]: Simplify (* 1 1) into 1 0.758 * [backup-simplify]: Simplify (* x 1) into x 0.758 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.758 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.758 * [taylor]: Taking taylor expansion of -1 in x 0.758 * [backup-simplify]: Simplify -1 into -1 0.758 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.759 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify 1 into 1 0.759 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.759 * [taylor]: Taking taylor expansion of y in x 0.759 * [backup-simplify]: Simplify y into y 0.759 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.759 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.759 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.759 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.759 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 0.759 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.759 * [taylor]: Taking taylor expansion of -1 in x 0.759 * [backup-simplify]: Simplify -1 into -1 0.759 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.759 * [taylor]: Taking taylor expansion of x in x 0.759 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify 1 into 1 0.759 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.759 * [taylor]: Taking taylor expansion of y in x 0.759 * [backup-simplify]: Simplify y into y 0.759 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.759 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.759 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.760 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.760 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 0.760 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.760 * [taylor]: Taking taylor expansion of -1 in y 0.760 * [backup-simplify]: Simplify -1 into -1 0.760 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.760 * [taylor]: Taking taylor expansion of y in y 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 1 into 1 0.760 * [backup-simplify]: Simplify (* 1 1) into 1 0.760 * [backup-simplify]: Simplify (/ -1 1) into -1 0.760 * [backup-simplify]: Simplify -1 into -1 0.761 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.761 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 0.762 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.762 * [taylor]: Taking taylor expansion of 0 in y 0.762 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.762 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.764 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.764 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.764 * [taylor]: Taking taylor expansion of 0 in y 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.766 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.767 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.767 * [taylor]: Taking taylor expansion of 0 in y 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.768 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.770 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 0.770 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.770 * [taylor]: Taking taylor expansion of 0 in y 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x))))) into (* x (pow y 2)) 0.771 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.771 * [backup-simplify]: Simplify (exp (* x (pow y 2))) into (exp (* x (pow y 2))) 0.771 * [approximate]: Taking taylor expansion of (exp (* x (pow y 2))) in (x y) around 0 0.771 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 0.771 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.771 * [taylor]: Taking taylor expansion of x in y 0.771 * [backup-simplify]: Simplify x into x 0.771 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.771 * [taylor]: Taking taylor expansion of y in y 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify 1 into 1 0.771 * [backup-simplify]: Simplify (* 1 1) into 1 0.771 * [backup-simplify]: Simplify (* x 1) into x 0.771 * [backup-simplify]: Simplify (exp 0) into 1 0.771 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 0.771 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.771 * [taylor]: Taking taylor expansion of x in x 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify 1 into 1 0.771 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.771 * [taylor]: Taking taylor expansion of y in x 0.771 * [backup-simplify]: Simplify y into y 0.771 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.771 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.771 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.772 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.772 * [backup-simplify]: Simplify (exp 0) into 1 0.772 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 0.772 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.772 * [taylor]: Taking taylor expansion of x in x 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify 1 into 1 0.772 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.772 * [taylor]: Taking taylor expansion of y in x 0.772 * [backup-simplify]: Simplify y into y 0.772 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.772 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.772 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.772 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.772 * [backup-simplify]: Simplify (exp 0) into 1 0.772 * [taylor]: Taking taylor expansion of 1 in y 0.772 * [backup-simplify]: Simplify 1 into 1 0.773 * [backup-simplify]: Simplify 1 into 1 0.773 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 1) 1)))) into (pow y 2) 0.773 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.773 * [taylor]: Taking taylor expansion of y in y 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify 1 into 1 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.774 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 0.774 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow y 4)) 0.774 * [taylor]: Taking taylor expansion of (* 1/2 (pow y 4)) in y 0.774 * [taylor]: Taking taylor expansion of 1/2 in y 0.774 * [backup-simplify]: Simplify 1/2 into 1/2 0.774 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.774 * [taylor]: Taking taylor expansion of y in y 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify 1 into 1 0.774 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.776 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.777 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 3) 6)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow y 6)) 0.777 * [taylor]: Taking taylor expansion of (* 1/6 (pow y 6)) in y 0.777 * [taylor]: Taking taylor expansion of 1/6 in y 0.777 * [backup-simplify]: Simplify 1/6 into 1/6 0.777 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.777 * [taylor]: Taking taylor expansion of y in y 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify 1 into 1 0.777 * [backup-simplify]: Simplify (* 1 1) into 1 0.777 * [backup-simplify]: Simplify 1 into 1 0.777 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.779 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.781 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 4) 24)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow y 8)) 0.781 * [taylor]: Taking taylor expansion of (* 1/24 (pow y 8)) in y 0.781 * [taylor]: Taking taylor expansion of 1/24 in y 0.781 * [backup-simplify]: Simplify 1/24 into 1/24 0.781 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.781 * [taylor]: Taking taylor expansion of y in y 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 1 into 1 0.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.783 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 0.786 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 5) 120)) (* (/ (pow (pow y 2) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow y 10)) 0.786 * [taylor]: Taking taylor expansion of (* 1/120 (pow y 10)) in y 0.786 * [taylor]: Taking taylor expansion of 1/120 in y 0.786 * [backup-simplify]: Simplify 1/120 into 1/120 0.786 * [taylor]: Taking taylor expansion of (pow y 10) in y 0.786 * [taylor]: Taking taylor expansion of y in y 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify 1 into 1 0.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))))) into 0 0.789 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))))) into 0 0.793 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 6) 720)) (* (/ (pow (pow y 2) 4) 24) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 2) 2)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/720 (pow y 12)) 0.793 * [taylor]: Taking taylor expansion of (* 1/720 (pow y 12)) in y 0.793 * [taylor]: Taking taylor expansion of 1/720 in y 0.793 * [backup-simplify]: Simplify 1/720 into 1/720 0.793 * [taylor]: Taking taylor expansion of (pow y 12) in y 0.793 * [taylor]: Taking taylor expansion of y in y 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify 1 into 1 0.794 * [backup-simplify]: Simplify (* 1 1) into 1 0.794 * [backup-simplify]: Simplify (* 1 1) into 1 0.794 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.794 * [backup-simplify]: Simplify 1/2 into 1/2 0.795 * [backup-simplify]: Simplify (+ (* 1/2 (pow (* (pow y 2) x) 2)) (+ (* 1 (* (pow y 2) x)) 1)) into (+ (* x (pow y 2)) (+ (* 1/2 (* (pow x 2) (pow y 4))) 1)) 0.795 * [backup-simplify]: Simplify (exp (* (/ 1 x) (pow (/ 1 y) 2))) into (exp (/ 1 (* x (pow y 2)))) 0.795 * [approximate]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in (x y) around 0 0.795 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.795 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.795 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.795 * [taylor]: Taking taylor expansion of x in y 0.795 * [backup-simplify]: Simplify x into x 0.795 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.795 * [taylor]: Taking taylor expansion of y in y 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify 1 into 1 0.795 * [backup-simplify]: Simplify (* 1 1) into 1 0.795 * [backup-simplify]: Simplify (* x 1) into x 0.795 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.795 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 0.795 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 0.795 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.795 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify 1 into 1 0.795 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.795 * [taylor]: Taking taylor expansion of y in x 0.795 * [backup-simplify]: Simplify y into y 0.796 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.796 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.796 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.796 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.796 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.796 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 0.796 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 0.796 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.796 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.796 * [taylor]: Taking taylor expansion of x in x 0.796 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify 1 into 1 0.796 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.796 * [taylor]: Taking taylor expansion of y in x 0.796 * [backup-simplify]: Simplify y into y 0.796 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.796 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.796 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.797 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.797 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.797 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 0.797 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 0.797 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.797 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.797 * [taylor]: Taking taylor expansion of x in y 0.797 * [backup-simplify]: Simplify x into x 0.797 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.797 * [taylor]: Taking taylor expansion of y in y 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 1 into 1 0.797 * [backup-simplify]: Simplify (* 1 1) into 1 0.797 * [backup-simplify]: Simplify (* x 1) into x 0.798 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.798 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 0.798 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 0.798 * [taylor]: Taking taylor expansion of 0 in y 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [taylor]: Taking taylor expansion of 0 in y 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [taylor]: Taking taylor expansion of 0 in y 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify (exp (/ 1 (* (/ 1 x) (pow (/ 1 y) 2)))) into (exp (* x (pow y 2))) 0.798 * [backup-simplify]: Simplify (exp (* (/ 1 (- x)) (pow (/ 1 (- y)) 2))) into (exp (/ -1 (* x (pow y 2)))) 0.798 * [approximate]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in (x y) around 0 0.798 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.798 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.798 * [taylor]: Taking taylor expansion of -1 in y 0.798 * [backup-simplify]: Simplify -1 into -1 0.798 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.798 * [taylor]: Taking taylor expansion of x in y 0.798 * [backup-simplify]: Simplify x into x 0.798 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.798 * [taylor]: Taking taylor expansion of y in y 0.799 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify 1 into 1 0.799 * [backup-simplify]: Simplify (* 1 1) into 1 0.799 * [backup-simplify]: Simplify (* x 1) into x 0.799 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.799 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 0.799 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 0.799 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.799 * [taylor]: Taking taylor expansion of -1 in x 0.799 * [backup-simplify]: Simplify -1 into -1 0.799 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.799 * [taylor]: Taking taylor expansion of x in x 0.799 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify 1 into 1 0.799 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.799 * [taylor]: Taking taylor expansion of y in x 0.799 * [backup-simplify]: Simplify y into y 0.799 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.799 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.799 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.800 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.800 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 0.800 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 0.800 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 0.800 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.800 * [taylor]: Taking taylor expansion of -1 in x 0.800 * [backup-simplify]: Simplify -1 into -1 0.800 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 1 into 1 0.800 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.800 * [taylor]: Taking taylor expansion of y in x 0.800 * [backup-simplify]: Simplify y into y 0.800 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.800 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.800 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.800 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.801 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 0.801 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 0.801 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 0.801 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.801 * [taylor]: Taking taylor expansion of -1 in y 0.801 * [backup-simplify]: Simplify -1 into -1 0.801 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.801 * [taylor]: Taking taylor expansion of x in y 0.801 * [backup-simplify]: Simplify x into x 0.801 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.801 * [taylor]: Taking taylor expansion of y in y 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify 1 into 1 0.801 * [backup-simplify]: Simplify (* 1 1) into 1 0.801 * [backup-simplify]: Simplify (* x 1) into x 0.801 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.801 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 0.801 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 0.801 * [taylor]: Taking taylor expansion of 0 in y 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [taylor]: Taking taylor expansion of 0 in y 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [taylor]: Taking taylor expansion of 0 in y 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify (exp (/ -1 (* (/ 1 (- x)) (pow (/ 1 (- y)) 2)))) into (exp (* x (pow y 2))) 0.802 * * * [progress]: simplifying candidates 0.803 * [simplify]: Simplifying: (+ (log x) (* (log y) 2)) (+ (log x) (* (log y) 2)) (+ (log x) (log (pow y 2))) (log (* x (pow y 2))) (exp (* x (pow y 2))) (* (* (* x x) x) (* (* (pow y 2) (pow y 2)) (pow y 2))) (* (cbrt (* x (pow y 2))) (cbrt (* x (pow y 2)))) (cbrt (* x (pow y 2))) (* (* (* x (pow y 2)) (* x (pow y 2))) (* x (pow y 2))) (sqrt (* x (pow y 2))) (sqrt (* x (pow y 2))) (* (sqrt x) (pow (sqrt y) 2)) (* (sqrt x) (pow (sqrt y) 2)) (* (sqrt x) y) (* (sqrt x) y) (* (sqrt x) (sqrt (pow y 2))) (* (sqrt x) (sqrt (pow y 2))) (* (sqrt x) (pow y (/ 2 2))) (* (sqrt x) (pow y (/ 2 2))) (* x (pow (* (cbrt y) (cbrt y)) 2)) (* x (pow (sqrt y) 2)) (* x (pow 1 2)) (* x y) (* x (* (cbrt (pow y 2)) (cbrt (pow y 2)))) (* x (sqrt (pow y 2))) (* x 1) (* x (pow y (/ 2 2))) (* (cbrt x) (pow y 2)) (* (sqrt x) (pow y 2)) (* x (pow y 2)) (+ (log x) (* (log y) 2)) (+ (log x) (* (log y) 2)) (+ (log x) (log (pow y 2))) (log (* x (pow y 2))) (exp (* x (pow y 2))) (* (* (* x x) x) (* (* (pow y 2) (pow y 2)) (pow y 2))) (* (cbrt (* x (pow y 2))) (cbrt (* x (pow y 2)))) (cbrt (* x (pow y 2))) (* (* (* x (pow y 2)) (* x (pow y 2))) (* x (pow y 2))) (sqrt (* x (pow y 2))) (sqrt (* x (pow y 2))) (* (sqrt x) (pow (sqrt y) 2)) (* (sqrt x) (pow (sqrt y) 2)) (* (sqrt x) y) (* (sqrt x) y) (* (sqrt x) (sqrt (pow y 2))) (* (sqrt x) (sqrt (pow y 2))) (* (sqrt x) (pow y (/ 2 2))) (* (sqrt x) (pow y (/ 2 2))) (* x (pow (* (cbrt y) (cbrt y)) 2)) (* x (pow (sqrt y) 2)) (* x (pow 1 2)) (* x y) (* x (* (cbrt (pow y 2)) (cbrt (pow y 2)))) (* x (sqrt (pow y 2))) (* x 1) (* x (pow y (/ 2 2))) (* (cbrt x) (pow y 2)) (* (sqrt x) (pow y 2)) (* x (pow y 2)) (+ (log x) (* (log y) 2)) (+ (log x) (* (log y) 2)) (+ (log x) (log (pow y 2))) (log (* x (pow y 2))) (exp (* x (pow y 2))) (* (* (* x x) x) (* (* (pow y 2) (pow y 2)) (pow y 2))) (* (cbrt (* x (pow y 2))) (cbrt (* x (pow y 2)))) (cbrt (* x (pow y 2))) (* (* (* x (pow y 2)) (* x (pow y 2))) (* x (pow y 2))) (sqrt (* x (pow y 2))) (sqrt (* x (pow y 2))) (* (sqrt x) (pow (sqrt y) 2)) (* (sqrt x) (pow (sqrt y) 2)) (* (sqrt x) y) (* (sqrt x) y) (* (sqrt x) (sqrt (pow y 2))) (* (sqrt x) (sqrt (pow y 2))) (* (sqrt x) (pow y (/ 2 2))) (* (sqrt x) (pow y (/ 2 2))) (* x (pow (* (cbrt y) (cbrt y)) 2)) (* x (pow (sqrt y) 2)) (* x (pow 1 2)) (* x y) (* x (* (cbrt (pow y 2)) (cbrt (pow y 2)))) (* x (sqrt (pow y 2))) (* x 1) (* x (pow y (/ 2 2))) (* (cbrt x) (pow y 2)) (* (sqrt x) (pow y 2)) (* x (pow y 2)) (exp x) (log (exp (* x (pow y 2)))) (exp (exp (* x (pow y 2)))) (* (cbrt (exp (* x (pow y 2)))) (cbrt (exp (* x (pow y 2))))) (cbrt (exp (* x (pow y 2)))) (* (* (exp (* x (pow y 2))) (exp (* x (pow y 2)))) (exp (* x (pow y 2)))) (sqrt (exp (* x (pow y 2)))) (sqrt (exp (* x (pow y 2)))) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (+ (* x (pow y 2)) (+ (* 1/2 (* (pow x 2) (pow y 4))) 1)) (exp (* x (pow y 2))) (exp (* x (pow y 2))) 0.804 * [simplify]: Sending expressions to egg_math: (+ (log h0) (* (log h1) 2)) (+ (log h0) (* (log h1) 2)) (+ (log h0) (log (pow h1 2))) (log (* h0 (pow h1 2))) (exp (* h0 (pow h1 2))) (* (* (* h0 h0) h0) (* (* (pow h1 2) (pow h1 2)) (pow h1 2))) (* (cbrt (* h0 (pow h1 2))) (cbrt (* h0 (pow h1 2)))) (cbrt (* h0 (pow h1 2))) (* (* (* h0 (pow h1 2)) (* h0 (pow h1 2))) (* h0 (pow h1 2))) (sqrt (* h0 (pow h1 2))) (sqrt (* h0 (pow h1 2))) (* (sqrt h0) (pow (sqrt h1) 2)) (* (sqrt h0) (pow (sqrt h1) 2)) (* (sqrt h0) h1) (* (sqrt h0) h1) (* (sqrt h0) (sqrt (pow h1 2))) (* (sqrt h0) (sqrt (pow h1 2))) (* (sqrt h0) (pow h1 (/ 2 2))) (* (sqrt h0) (pow h1 (/ 2 2))) (* h0 (pow (* (cbrt h1) (cbrt h1)) 2)) (* h0 (pow (sqrt h1) 2)) (* h0 (pow 1 2)) (* h0 h1) (* h0 (* (cbrt (pow h1 2)) (cbrt (pow h1 2)))) (* h0 (sqrt (pow h1 2))) (* h0 1) (* h0 (pow h1 (/ 2 2))) (* (cbrt h0) (pow h1 2)) (* (sqrt h0) (pow h1 2)) (* h0 (pow h1 2)) (+ (log h0) (* (log h1) 2)) (+ (log h0) (* (log h1) 2)) (+ (log h0) (log (pow h1 2))) (log (* h0 (pow h1 2))) (exp (* h0 (pow h1 2))) (* (* (* h0 h0) h0) (* (* (pow h1 2) (pow h1 2)) (pow h1 2))) (* (cbrt (* h0 (pow h1 2))) (cbrt (* h0 (pow h1 2)))) (cbrt (* h0 (pow h1 2))) (* (* (* h0 (pow h1 2)) (* h0 (pow h1 2))) (* h0 (pow h1 2))) (sqrt (* h0 (pow h1 2))) (sqrt (* h0 (pow h1 2))) (* (sqrt h0) (pow (sqrt h1) 2)) (* (sqrt h0) (pow (sqrt h1) 2)) (* (sqrt h0) h1) (* (sqrt h0) h1) (* (sqrt h0) (sqrt (pow h1 2))) (* (sqrt h0) (sqrt (pow h1 2))) (* (sqrt h0) (pow h1 (/ 2 2))) (* (sqrt h0) (pow h1 (/ 2 2))) (* h0 (pow (* (cbrt h1) (cbrt h1)) 2)) (* h0 (pow (sqrt h1) 2)) (* h0 (pow 1 2)) (* h0 h1) (* h0 (* (cbrt (pow h1 2)) (cbrt (pow h1 2)))) (* h0 (sqrt (pow h1 2))) (* h0 1) (* h0 (pow h1 (/ 2 2))) (* (cbrt h0) (pow h1 2)) (* (sqrt h0) (pow h1 2)) (* h0 (pow h1 2)) (+ (log h0) (* (log h1) 2)) (+ (log h0) (* (log h1) 2)) (+ (log h0) (log (pow h1 2))) (log (* h0 (pow h1 2))) (exp (* h0 (pow h1 2))) (* (* (* h0 h0) h0) (* (* (pow h1 2) (pow h1 2)) (pow h1 2))) (* (cbrt (* h0 (pow h1 2))) (cbrt (* h0 (pow h1 2)))) (cbrt (* h0 (pow h1 2))) (* (* (* h0 (pow h1 2)) (* h0 (pow h1 2))) (* h0 (pow h1 2))) (sqrt (* h0 (pow h1 2))) (sqrt (* h0 (pow h1 2))) (* (sqrt h0) (pow (sqrt h1) 2)) (* (sqrt h0) (pow (sqrt h1) 2)) (* (sqrt h0) h1) (* (sqrt h0) h1) (* (sqrt h0) (sqrt (pow h1 2))) (* (sqrt h0) (sqrt (pow h1 2))) (* (sqrt h0) (pow h1 (/ 2 2))) (* (sqrt h0) (pow h1 (/ 2 2))) (* h0 (pow (* (cbrt h1) (cbrt h1)) 2)) (* h0 (pow (sqrt h1) 2)) (* h0 (pow 1 2)) (* h0 h1) (* h0 (* (cbrt (pow h1 2)) (cbrt (pow h1 2)))) (* h0 (sqrt (pow h1 2))) (* h0 1) (* h0 (pow h1 (/ 2 2))) (* (cbrt h0) (pow h1 2)) (* (sqrt h0) (pow h1 2)) (* h0 (pow h1 2)) (exp h0) (log (exp (* h0 (pow h1 2)))) (exp (exp (* h0 (pow h1 2)))) (* (cbrt (exp (* h0 (pow h1 2)))) (cbrt (exp (* h0 (pow h1 2))))) (cbrt (exp (* h0 (pow h1 2)))) (* (* (exp (* h0 (pow h1 2))) (exp (* h0 (pow h1 2)))) (exp (* h0 (pow h1 2)))) (sqrt (exp (* h0 (pow h1 2)))) (sqrt (exp (* h0 (pow h1 2)))) (* h0 (pow h1 2)) (* h0 (pow h1 2)) (* h0 (pow h1 2)) (* h0 (pow h1 2)) (* h0 (pow h1 2)) (* h0 (pow h1 2)) (* h0 (pow h1 2)) (* h0 (pow h1 2)) (* h0 (pow h1 2)) (+ (* h0 (pow h1 2)) (+ (* 1/2 (* (pow h0 2) (pow h1 4))) 1)) (exp (* h0 (pow h1 2))) (exp (* h0 (pow h1 2))) 0.808 * * [simplify]: iteration 0 : 139 enodes (cost 358 ) 0.812 * * [simplify]: iteration 1 : 554 enodes (cost 307 ) 0.826 * * [simplify]: iteration 2 : 2913 enodes (cost 300 ) 0.928 * * [simplify]: iteration 3 : 5001 enodes (cost 297 ) 0.930 * * * [progress]: adding candidates to table 1.173 * * [progress]: iteration 4 / 4 1.173 * * * [progress]: picking best candidate 1.176 * * * * [pick]: Picked # 1.177 * * * [progress]: localizing error 1.191 * * * [progress]: generating rewritten candidates 1.191 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.194 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 1.206 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1) 1.220 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 1.234 * * * [progress]: generating series expansions 1.234 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.234 * [backup-simplify]: Simplify (cbrt (pow (* x (pow y 2)) 3)) into (* x (pow y 2)) 1.234 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 1.234 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.234 * [taylor]: Taking taylor expansion of x in y 1.234 * [backup-simplify]: Simplify x into x 1.234 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.234 * [taylor]: Taking taylor expansion of y in y 1.234 * [backup-simplify]: Simplify 0 into 0 1.234 * [backup-simplify]: Simplify 1 into 1 1.234 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.234 * [taylor]: Taking taylor expansion of x in x 1.234 * [backup-simplify]: Simplify 0 into 0 1.234 * [backup-simplify]: Simplify 1 into 1 1.234 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.234 * [taylor]: Taking taylor expansion of y in x 1.234 * [backup-simplify]: Simplify y into y 1.234 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.234 * [taylor]: Taking taylor expansion of x in x 1.234 * [backup-simplify]: Simplify 0 into 0 1.234 * [backup-simplify]: Simplify 1 into 1 1.234 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.234 * [taylor]: Taking taylor expansion of y in x 1.234 * [backup-simplify]: Simplify y into y 1.234 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.235 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 1.235 * [taylor]: Taking taylor expansion of 0 in y 1.235 * [backup-simplify]: Simplify 0 into 0 1.235 * [backup-simplify]: Simplify 0 into 0 1.235 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.235 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 1.235 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.235 * [taylor]: Taking taylor expansion of y in y 1.235 * [backup-simplify]: Simplify 0 into 0 1.235 * [backup-simplify]: Simplify 1 into 1 1.236 * [backup-simplify]: Simplify (* 1 1) into 1 1.236 * [backup-simplify]: Simplify 1 into 1 1.236 * [backup-simplify]: Simplify 0 into 0 1.236 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.237 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 1.237 * [taylor]: Taking taylor expansion of 0 in y 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.238 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.238 * [taylor]: Taking taylor expansion of 0 in y 1.238 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify (* 1 (* (pow y 2) x)) into (* x (pow y 2)) 1.239 * [backup-simplify]: Simplify (cbrt (pow (* (/ 1 x) (pow (/ 1 y) 2)) 3)) into (/ 1 (* x (pow y 2))) 1.239 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 1.239 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 1.239 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.239 * [taylor]: Taking taylor expansion of x in y 1.239 * [backup-simplify]: Simplify x into x 1.239 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.239 * [taylor]: Taking taylor expansion of y in y 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify 1 into 1 1.239 * [backup-simplify]: Simplify (* 1 1) into 1 1.239 * [backup-simplify]: Simplify (* x 1) into x 1.239 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.239 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.239 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.239 * [taylor]: Taking taylor expansion of x in x 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify 1 into 1 1.239 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.239 * [taylor]: Taking taylor expansion of y in x 1.239 * [backup-simplify]: Simplify y into y 1.239 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.239 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 1.239 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.240 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 1.240 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.240 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.240 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.240 * [taylor]: Taking taylor expansion of x in x 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify 1 into 1 1.240 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.240 * [taylor]: Taking taylor expansion of y in x 1.240 * [backup-simplify]: Simplify y into y 1.240 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.240 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 1.240 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.240 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 1.241 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.241 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.241 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.241 * [taylor]: Taking taylor expansion of y in y 1.241 * [backup-simplify]: Simplify 0 into 0 1.241 * [backup-simplify]: Simplify 1 into 1 1.241 * [backup-simplify]: Simplify (* 1 1) into 1 1.241 * [backup-simplify]: Simplify (/ 1 1) into 1 1.241 * [backup-simplify]: Simplify 1 into 1 1.241 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.242 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 1.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.242 * [taylor]: Taking taylor expansion of 0 in y 1.242 * [backup-simplify]: Simplify 0 into 0 1.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.244 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.244 * [taylor]: Taking taylor expansion of 0 in y 1.244 * [backup-simplify]: Simplify 0 into 0 1.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.245 * [backup-simplify]: Simplify 0 into 0 1.246 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.247 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 1.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.247 * [taylor]: Taking taylor expansion of 0 in y 1.247 * [backup-simplify]: Simplify 0 into 0 1.247 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.248 * [backup-simplify]: Simplify 0 into 0 1.249 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 1.250 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 1.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.250 * [taylor]: Taking taylor expansion of 0 in y 1.251 * [backup-simplify]: Simplify 0 into 0 1.251 * [backup-simplify]: Simplify 0 into 0 1.251 * [backup-simplify]: Simplify 0 into 0 1.251 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 x)))) into (* x (pow y 2)) 1.251 * [backup-simplify]: Simplify (cbrt (pow (* (/ 1 (- x)) (pow (/ 1 (- y)) 2)) 3)) into (/ (cbrt -1) (* x (pow y 2))) 1.251 * [approximate]: Taking taylor expansion of (/ (cbrt -1) (* x (pow y 2))) in (x y) around 0 1.251 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* x (pow y 2))) in y 1.251 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.251 * [taylor]: Taking taylor expansion of -1 in y 1.251 * [backup-simplify]: Simplify -1 into -1 1.251 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.252 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.252 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.252 * [taylor]: Taking taylor expansion of x in y 1.252 * [backup-simplify]: Simplify x into x 1.252 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.252 * [taylor]: Taking taylor expansion of y in y 1.252 * [backup-simplify]: Simplify 0 into 0 1.252 * [backup-simplify]: Simplify 1 into 1 1.252 * [backup-simplify]: Simplify (* 1 1) into 1 1.252 * [backup-simplify]: Simplify (* x 1) into x 1.253 * [backup-simplify]: Simplify (/ (cbrt -1) x) into (/ (cbrt -1) x) 1.253 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* x (pow y 2))) in x 1.253 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.253 * [taylor]: Taking taylor expansion of -1 in x 1.253 * [backup-simplify]: Simplify -1 into -1 1.253 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.253 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.253 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.253 * [taylor]: Taking taylor expansion of x in x 1.253 * [backup-simplify]: Simplify 0 into 0 1.253 * [backup-simplify]: Simplify 1 into 1 1.253 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.253 * [taylor]: Taking taylor expansion of y in x 1.253 * [backup-simplify]: Simplify y into y 1.253 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.253 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 1.254 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.254 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 1.254 * [backup-simplify]: Simplify (/ (cbrt -1) (pow y 2)) into (/ (cbrt -1) (pow y 2)) 1.254 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* x (pow y 2))) in x 1.254 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.254 * [taylor]: Taking taylor expansion of -1 in x 1.254 * [backup-simplify]: Simplify -1 into -1 1.255 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.255 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.255 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.255 * [taylor]: Taking taylor expansion of x in x 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify 1 into 1 1.255 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.255 * [taylor]: Taking taylor expansion of y in x 1.255 * [backup-simplify]: Simplify y into y 1.255 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.255 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 1.255 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.256 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 1.256 * [backup-simplify]: Simplify (/ (cbrt -1) (pow y 2)) into (/ (cbrt -1) (pow y 2)) 1.256 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow y 2)) in y 1.256 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.256 * [taylor]: Taking taylor expansion of -1 in y 1.256 * [backup-simplify]: Simplify -1 into -1 1.257 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.257 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 1.257 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.257 * [taylor]: Taking taylor expansion of y in y 1.257 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify 1 into 1 1.257 * [backup-simplify]: Simplify (* 1 1) into 1 1.258 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1) 1.258 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 1.258 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.259 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 1.259 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ (cbrt -1) (pow y 2)) (/ 0 (pow y 2))))) into 0 1.259 * [taylor]: Taking taylor expansion of 0 in y 1.259 * [backup-simplify]: Simplify 0 into 0 1.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0 1.260 * [backup-simplify]: Simplify 0 into 0 1.261 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.262 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.262 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.263 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ (cbrt -1) (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.263 * [taylor]: Taking taylor expansion of 0 in y 1.263 * [backup-simplify]: Simplify 0 into 0 1.264 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.265 * [backup-simplify]: Simplify 0 into 0 1.265 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 1.266 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.267 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 1.268 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ (cbrt -1) (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.268 * [taylor]: Taking taylor expansion of 0 in y 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 1.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.270 * [backup-simplify]: Simplify 0 into 0 1.270 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 1.271 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 1.272 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 1.273 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ (cbrt -1) (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.273 * [taylor]: Taking taylor expansion of 0 in y 1.273 * [backup-simplify]: Simplify 0 into 0 1.273 * [backup-simplify]: Simplify 0 into 0 1.273 * [backup-simplify]: Simplify 0 into 0 1.274 * [backup-simplify]: Simplify (* (cbrt -1) (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x))))) into (* -1 (* (cbrt -1) (* x (pow y 2)))) 1.274 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 1.274 * [backup-simplify]: Simplify (* x (pow y 2)) into (* x (pow y 2)) 1.274 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 1.274 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.274 * [taylor]: Taking taylor expansion of x in y 1.274 * [backup-simplify]: Simplify x into x 1.274 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.274 * [taylor]: Taking taylor expansion of y in y 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [backup-simplify]: Simplify 1 into 1 1.274 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.274 * [taylor]: Taking taylor expansion of x in x 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [backup-simplify]: Simplify 1 into 1 1.274 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.274 * [taylor]: Taking taylor expansion of y in x 1.274 * [backup-simplify]: Simplify y into y 1.274 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.274 * [taylor]: Taking taylor expansion of x in x 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [backup-simplify]: Simplify 1 into 1 1.274 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.274 * [taylor]: Taking taylor expansion of y in x 1.274 * [backup-simplify]: Simplify y into y 1.274 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.274 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 1.274 * [taylor]: Taking taylor expansion of 0 in y 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.275 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 1.275 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.275 * [taylor]: Taking taylor expansion of y in y 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [backup-simplify]: Simplify 1 into 1 1.275 * [backup-simplify]: Simplify (* 1 1) into 1 1.275 * [backup-simplify]: Simplify 1 into 1 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.276 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 1.276 * [taylor]: Taking taylor expansion of 0 in y 1.276 * [backup-simplify]: Simplify 0 into 0 1.276 * [backup-simplify]: Simplify 0 into 0 1.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.276 * [backup-simplify]: Simplify 0 into 0 1.276 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.278 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.278 * [taylor]: Taking taylor expansion of 0 in y 1.278 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify (* 1 (* (pow y 2) x)) into (* x (pow y 2)) 1.278 * [backup-simplify]: Simplify (* (/ 1 x) (pow (/ 1 y) 2)) into (/ 1 (* x (pow y 2))) 1.278 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 1.278 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 1.278 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.278 * [taylor]: Taking taylor expansion of x in y 1.278 * [backup-simplify]: Simplify x into x 1.278 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.278 * [taylor]: Taking taylor expansion of y in y 1.278 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify 1 into 1 1.278 * [backup-simplify]: Simplify (* 1 1) into 1 1.278 * [backup-simplify]: Simplify (* x 1) into x 1.278 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.278 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.278 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.278 * [taylor]: Taking taylor expansion of x in x 1.278 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify 1 into 1 1.278 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.278 * [taylor]: Taking taylor expansion of y in x 1.278 * [backup-simplify]: Simplify y into y 1.278 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.279 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 1.279 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.279 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 1.279 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.279 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.279 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.279 * [taylor]: Taking taylor expansion of x in x 1.279 * [backup-simplify]: Simplify 0 into 0 1.279 * [backup-simplify]: Simplify 1 into 1 1.279 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.279 * [taylor]: Taking taylor expansion of y in x 1.279 * [backup-simplify]: Simplify y into y 1.279 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.279 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 1.279 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.280 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 1.280 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.280 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.280 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.280 * [taylor]: Taking taylor expansion of y in y 1.280 * [backup-simplify]: Simplify 0 into 0 1.280 * [backup-simplify]: Simplify 1 into 1 1.280 * [backup-simplify]: Simplify (* 1 1) into 1 1.280 * [backup-simplify]: Simplify (/ 1 1) into 1 1.280 * [backup-simplify]: Simplify 1 into 1 1.281 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.281 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 1.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.281 * [taylor]: Taking taylor expansion of 0 in y 1.281 * [backup-simplify]: Simplify 0 into 0 1.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.282 * [backup-simplify]: Simplify 0 into 0 1.283 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.284 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.284 * [taylor]: Taking taylor expansion of 0 in y 1.284 * [backup-simplify]: Simplify 0 into 0 1.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.285 * [backup-simplify]: Simplify 0 into 0 1.285 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.286 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 1.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.287 * [taylor]: Taking taylor expansion of 0 in y 1.287 * [backup-simplify]: Simplify 0 into 0 1.287 * [backup-simplify]: Simplify 0 into 0 1.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.288 * [backup-simplify]: Simplify 0 into 0 1.289 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 1.290 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 1.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.290 * [taylor]: Taking taylor expansion of 0 in y 1.290 * [backup-simplify]: Simplify 0 into 0 1.290 * [backup-simplify]: Simplify 0 into 0 1.290 * [backup-simplify]: Simplify 0 into 0 1.291 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 x)))) into (* x (pow y 2)) 1.291 * [backup-simplify]: Simplify (* (/ 1 (- x)) (pow (/ 1 (- y)) 2)) into (/ -1 (* x (pow y 2))) 1.291 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 1.291 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 1.291 * [taylor]: Taking taylor expansion of -1 in y 1.291 * [backup-simplify]: Simplify -1 into -1 1.291 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.291 * [taylor]: Taking taylor expansion of x in y 1.291 * [backup-simplify]: Simplify x into x 1.291 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.291 * [taylor]: Taking taylor expansion of y in y 1.291 * [backup-simplify]: Simplify 0 into 0 1.291 * [backup-simplify]: Simplify 1 into 1 1.291 * [backup-simplify]: Simplify (* 1 1) into 1 1.291 * [backup-simplify]: Simplify (* x 1) into x 1.291 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 1.291 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 1.291 * [taylor]: Taking taylor expansion of -1 in x 1.291 * [backup-simplify]: Simplify -1 into -1 1.291 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.291 * [taylor]: Taking taylor expansion of x in x 1.291 * [backup-simplify]: Simplify 0 into 0 1.291 * [backup-simplify]: Simplify 1 into 1 1.291 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.291 * [taylor]: Taking taylor expansion of y in x 1.291 * [backup-simplify]: Simplify y into y 1.291 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.291 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 1.292 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.292 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 1.292 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 1.292 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 1.292 * [taylor]: Taking taylor expansion of -1 in x 1.292 * [backup-simplify]: Simplify -1 into -1 1.292 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.292 * [taylor]: Taking taylor expansion of x in x 1.292 * [backup-simplify]: Simplify 0 into 0 1.292 * [backup-simplify]: Simplify 1 into 1 1.292 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.292 * [taylor]: Taking taylor expansion of y in x 1.292 * [backup-simplify]: Simplify y into y 1.292 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.292 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 1.292 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.293 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 1.293 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 1.293 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 1.293 * [taylor]: Taking taylor expansion of -1 in y 1.293 * [backup-simplify]: Simplify -1 into -1 1.293 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.293 * [taylor]: Taking taylor expansion of y in y 1.293 * [backup-simplify]: Simplify 0 into 0 1.293 * [backup-simplify]: Simplify 1 into 1 1.293 * [backup-simplify]: Simplify (* 1 1) into 1 1.293 * [backup-simplify]: Simplify (/ -1 1) into -1 1.293 * [backup-simplify]: Simplify -1 into -1 1.294 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.294 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 1.294 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.294 * [taylor]: Taking taylor expansion of 0 in y 1.294 * [backup-simplify]: Simplify 0 into 0 1.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.295 * [backup-simplify]: Simplify 0 into 0 1.296 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.296 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.297 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.297 * [taylor]: Taking taylor expansion of 0 in y 1.297 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.302 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.304 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 1.304 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.304 * [taylor]: Taking taylor expansion of 0 in y 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.305 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 1.307 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 1.308 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.308 * [taylor]: Taking taylor expansion of 0 in y 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x))))) into (* x (pow y 2)) 1.308 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1) 1.308 * [backup-simplify]: Simplify (* x (pow y 2)) into (* x (pow y 2)) 1.308 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 1.308 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.308 * [taylor]: Taking taylor expansion of x in y 1.308 * [backup-simplify]: Simplify x into x 1.308 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.308 * [taylor]: Taking taylor expansion of y in y 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 1 into 1 1.308 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.308 * [taylor]: Taking taylor expansion of x in x 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 1 into 1 1.308 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.308 * [taylor]: Taking taylor expansion of y in x 1.308 * [backup-simplify]: Simplify y into y 1.308 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.308 * [taylor]: Taking taylor expansion of x in x 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 1 into 1 1.308 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.308 * [taylor]: Taking taylor expansion of y in x 1.308 * [backup-simplify]: Simplify y into y 1.308 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.308 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 1.308 * [taylor]: Taking taylor expansion of 0 in y 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.309 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 1.309 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.309 * [taylor]: Taking taylor expansion of y in y 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify 1 into 1 1.309 * [backup-simplify]: Simplify (* 1 1) into 1 1.309 * [backup-simplify]: Simplify 1 into 1 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.310 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 1.310 * [taylor]: Taking taylor expansion of 0 in y 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 0 into 0 1.311 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.312 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.312 * [taylor]: Taking taylor expansion of 0 in y 1.312 * [backup-simplify]: Simplify 0 into 0 1.312 * [backup-simplify]: Simplify 0 into 0 1.312 * [backup-simplify]: Simplify 0 into 0 1.312 * [backup-simplify]: Simplify (* 1 (* (pow y 2) x)) into (* x (pow y 2)) 1.312 * [backup-simplify]: Simplify (* (/ 1 x) (pow (/ 1 y) 2)) into (/ 1 (* x (pow y 2))) 1.312 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 1.312 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 1.312 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.312 * [taylor]: Taking taylor expansion of x in y 1.312 * [backup-simplify]: Simplify x into x 1.312 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.312 * [taylor]: Taking taylor expansion of y in y 1.312 * [backup-simplify]: Simplify 0 into 0 1.312 * [backup-simplify]: Simplify 1 into 1 1.312 * [backup-simplify]: Simplify (* 1 1) into 1 1.312 * [backup-simplify]: Simplify (* x 1) into x 1.312 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.312 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.312 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.312 * [taylor]: Taking taylor expansion of x in x 1.312 * [backup-simplify]: Simplify 0 into 0 1.312 * [backup-simplify]: Simplify 1 into 1 1.312 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.312 * [taylor]: Taking taylor expansion of y in x 1.313 * [backup-simplify]: Simplify y into y 1.313 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.313 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 1.313 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.313 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 1.313 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.313 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.313 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.313 * [taylor]: Taking taylor expansion of x in x 1.313 * [backup-simplify]: Simplify 0 into 0 1.313 * [backup-simplify]: Simplify 1 into 1 1.313 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.313 * [taylor]: Taking taylor expansion of y in x 1.313 * [backup-simplify]: Simplify y into y 1.313 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.313 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 1.313 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.314 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 1.314 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.314 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.314 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.314 * [taylor]: Taking taylor expansion of y in y 1.314 * [backup-simplify]: Simplify 0 into 0 1.314 * [backup-simplify]: Simplify 1 into 1 1.314 * [backup-simplify]: Simplify (* 1 1) into 1 1.314 * [backup-simplify]: Simplify (/ 1 1) into 1 1.314 * [backup-simplify]: Simplify 1 into 1 1.315 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.315 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 1.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.315 * [taylor]: Taking taylor expansion of 0 in y 1.315 * [backup-simplify]: Simplify 0 into 0 1.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.316 * [backup-simplify]: Simplify 0 into 0 1.317 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.318 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.318 * [taylor]: Taking taylor expansion of 0 in y 1.318 * [backup-simplify]: Simplify 0 into 0 1.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.319 * [backup-simplify]: Simplify 0 into 0 1.319 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.320 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 1.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.321 * [taylor]: Taking taylor expansion of 0 in y 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.322 * [backup-simplify]: Simplify 0 into 0 1.322 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 1.324 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 1.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.324 * [taylor]: Taking taylor expansion of 0 in y 1.324 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 x)))) into (* x (pow y 2)) 1.324 * [backup-simplify]: Simplify (* (/ 1 (- x)) (pow (/ 1 (- y)) 2)) into (/ -1 (* x (pow y 2))) 1.324 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 1.324 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 1.324 * [taylor]: Taking taylor expansion of -1 in y 1.324 * [backup-simplify]: Simplify -1 into -1 1.324 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.324 * [taylor]: Taking taylor expansion of x in y 1.324 * [backup-simplify]: Simplify x into x 1.324 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.324 * [taylor]: Taking taylor expansion of y in y 1.324 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify 1 into 1 1.325 * [backup-simplify]: Simplify (* 1 1) into 1 1.325 * [backup-simplify]: Simplify (* x 1) into x 1.325 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 1.325 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 1.325 * [taylor]: Taking taylor expansion of -1 in x 1.325 * [backup-simplify]: Simplify -1 into -1 1.325 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.325 * [taylor]: Taking taylor expansion of x in x 1.325 * [backup-simplify]: Simplify 0 into 0 1.325 * [backup-simplify]: Simplify 1 into 1 1.325 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.325 * [taylor]: Taking taylor expansion of y in x 1.325 * [backup-simplify]: Simplify y into y 1.325 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.325 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 1.325 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.325 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 1.325 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 1.326 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 1.326 * [taylor]: Taking taylor expansion of -1 in x 1.326 * [backup-simplify]: Simplify -1 into -1 1.326 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.326 * [taylor]: Taking taylor expansion of x in x 1.326 * [backup-simplify]: Simplify 0 into 0 1.326 * [backup-simplify]: Simplify 1 into 1 1.326 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.326 * [taylor]: Taking taylor expansion of y in x 1.326 * [backup-simplify]: Simplify y into y 1.326 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.326 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 1.326 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.326 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 1.326 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 1.326 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 1.326 * [taylor]: Taking taylor expansion of -1 in y 1.326 * [backup-simplify]: Simplify -1 into -1 1.326 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.326 * [taylor]: Taking taylor expansion of y in y 1.326 * [backup-simplify]: Simplify 0 into 0 1.326 * [backup-simplify]: Simplify 1 into 1 1.327 * [backup-simplify]: Simplify (* 1 1) into 1 1.327 * [backup-simplify]: Simplify (/ -1 1) into -1 1.327 * [backup-simplify]: Simplify -1 into -1 1.327 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.328 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 1.328 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.328 * [taylor]: Taking taylor expansion of 0 in y 1.328 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.329 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.330 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.330 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.330 * [taylor]: Taking taylor expansion of 0 in y 1.330 * [backup-simplify]: Simplify 0 into 0 1.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.331 * [backup-simplify]: Simplify 0 into 0 1.332 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.333 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 1.333 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.333 * [taylor]: Taking taylor expansion of 0 in y 1.333 * [backup-simplify]: Simplify 0 into 0 1.333 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.334 * [backup-simplify]: Simplify 0 into 0 1.335 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 1.336 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 1.337 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.337 * [taylor]: Taking taylor expansion of 0 in y 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x))))) into (* x (pow y 2)) 1.337 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 1.337 * [backup-simplify]: Simplify (* x (pow y 2)) into (* x (pow y 2)) 1.337 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 1.337 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.337 * [taylor]: Taking taylor expansion of x in y 1.337 * [backup-simplify]: Simplify x into x 1.337 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.337 * [taylor]: Taking taylor expansion of y in y 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify 1 into 1 1.337 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.337 * [taylor]: Taking taylor expansion of x in x 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify 1 into 1 1.337 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.337 * [taylor]: Taking taylor expansion of y in x 1.337 * [backup-simplify]: Simplify y into y 1.337 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.337 * [taylor]: Taking taylor expansion of x in x 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify 1 into 1 1.337 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.337 * [taylor]: Taking taylor expansion of y in x 1.337 * [backup-simplify]: Simplify y into y 1.337 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.337 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 1.338 * [taylor]: Taking taylor expansion of 0 in y 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.338 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 1.338 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.338 * [taylor]: Taking taylor expansion of y in y 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify 1 into 1 1.338 * [backup-simplify]: Simplify (* 1 1) into 1 1.338 * [backup-simplify]: Simplify 1 into 1 1.338 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.339 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 1.339 * [taylor]: Taking taylor expansion of 0 in y 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.341 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.341 * [taylor]: Taking taylor expansion of 0 in y 1.341 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify (* 1 (* (pow y 2) x)) into (* x (pow y 2)) 1.341 * [backup-simplify]: Simplify (* (/ 1 x) (pow (/ 1 y) 2)) into (/ 1 (* x (pow y 2))) 1.341 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 1.341 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 1.341 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.341 * [taylor]: Taking taylor expansion of x in y 1.341 * [backup-simplify]: Simplify x into x 1.341 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.341 * [taylor]: Taking taylor expansion of y in y 1.341 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify 1 into 1 1.342 * [backup-simplify]: Simplify (* 1 1) into 1 1.342 * [backup-simplify]: Simplify (* x 1) into x 1.342 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.342 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.342 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.342 * [taylor]: Taking taylor expansion of x in x 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify 1 into 1 1.342 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.342 * [taylor]: Taking taylor expansion of y in x 1.342 * [backup-simplify]: Simplify y into y 1.342 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.342 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 1.342 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.342 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 1.343 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.343 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.343 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.343 * [taylor]: Taking taylor expansion of x in x 1.343 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify 1 into 1 1.343 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.343 * [taylor]: Taking taylor expansion of y in x 1.343 * [backup-simplify]: Simplify y into y 1.343 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.343 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 1.343 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.343 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 1.343 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.343 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.343 * [taylor]: Taking taylor expansion of y in y 1.343 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify 1 into 1 1.344 * [backup-simplify]: Simplify (* 1 1) into 1 1.344 * [backup-simplify]: Simplify (/ 1 1) into 1 1.344 * [backup-simplify]: Simplify 1 into 1 1.344 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.345 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 1.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.345 * [taylor]: Taking taylor expansion of 0 in y 1.345 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.346 * [backup-simplify]: Simplify 0 into 0 1.346 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.347 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.347 * [taylor]: Taking taylor expansion of 0 in y 1.347 * [backup-simplify]: Simplify 0 into 0 1.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.348 * [backup-simplify]: Simplify 0 into 0 1.349 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.350 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 1.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.350 * [taylor]: Taking taylor expansion of 0 in y 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.351 * [backup-simplify]: Simplify 0 into 0 1.352 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 1.353 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 1.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.353 * [taylor]: Taking taylor expansion of 0 in y 1.353 * [backup-simplify]: Simplify 0 into 0 1.353 * [backup-simplify]: Simplify 0 into 0 1.353 * [backup-simplify]: Simplify 0 into 0 1.353 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 x)))) into (* x (pow y 2)) 1.354 * [backup-simplify]: Simplify (* (/ 1 (- x)) (pow (/ 1 (- y)) 2)) into (/ -1 (* x (pow y 2))) 1.354 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 1.354 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 1.354 * [taylor]: Taking taylor expansion of -1 in y 1.354 * [backup-simplify]: Simplify -1 into -1 1.354 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.354 * [taylor]: Taking taylor expansion of x in y 1.354 * [backup-simplify]: Simplify x into x 1.354 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.354 * [taylor]: Taking taylor expansion of y in y 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify 1 into 1 1.354 * [backup-simplify]: Simplify (* 1 1) into 1 1.354 * [backup-simplify]: Simplify (* x 1) into x 1.354 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 1.354 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 1.354 * [taylor]: Taking taylor expansion of -1 in x 1.354 * [backup-simplify]: Simplify -1 into -1 1.354 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.354 * [taylor]: Taking taylor expansion of x in x 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify 1 into 1 1.354 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.354 * [taylor]: Taking taylor expansion of y in x 1.354 * [backup-simplify]: Simplify y into y 1.354 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.354 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 1.354 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.355 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 1.355 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 1.355 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 1.355 * [taylor]: Taking taylor expansion of -1 in x 1.355 * [backup-simplify]: Simplify -1 into -1 1.355 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.355 * [taylor]: Taking taylor expansion of x in x 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 1 into 1 1.355 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.355 * [taylor]: Taking taylor expansion of y in x 1.355 * [backup-simplify]: Simplify y into y 1.355 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.355 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 1.355 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.355 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 1.356 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 1.356 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 1.356 * [taylor]: Taking taylor expansion of -1 in y 1.356 * [backup-simplify]: Simplify -1 into -1 1.356 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.356 * [taylor]: Taking taylor expansion of y in y 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify 1 into 1 1.356 * [backup-simplify]: Simplify (* 1 1) into 1 1.356 * [backup-simplify]: Simplify (/ -1 1) into -1 1.356 * [backup-simplify]: Simplify -1 into -1 1.356 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.357 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 1.357 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.357 * [taylor]: Taking taylor expansion of 0 in y 1.357 * [backup-simplify]: Simplify 0 into 0 1.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.358 * [backup-simplify]: Simplify 0 into 0 1.358 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.359 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.359 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.359 * [taylor]: Taking taylor expansion of 0 in y 1.359 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.361 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.362 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 1.362 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.362 * [taylor]: Taking taylor expansion of 0 in y 1.362 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.364 * [backup-simplify]: Simplify 0 into 0 1.364 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 1.365 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 1.366 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.366 * [taylor]: Taking taylor expansion of 0 in y 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x))))) into (* x (pow y 2)) 1.366 * * * [progress]: simplifying candidates 1.367 * [simplify]: Simplifying: (log (cbrt (pow (* x (pow y 2)) 3))) (exp (cbrt (pow (* x (pow y 2)) 3))) (cbrt (pow x 3)) (cbrt (pow (pow y 2) 3)) (cbrt (* (* x (pow y 2)) (* x (pow y 2)))) (cbrt (* x (pow y 2))) (cbrt (* (cbrt (pow (* x (pow y 2)) 3)) (cbrt (pow (* x (pow y 2)) 3)))) (cbrt (cbrt (pow (* x (pow y 2)) 3))) (cbrt (pow x 3)) (cbrt (pow (pow y 2) 3)) (cbrt (* x (pow y 2))) (cbrt (* (* x (pow y 2)) (* x (pow y 2)))) (cbrt (sqrt (pow (* x (pow y 2)) 3))) (cbrt (sqrt (pow (* x (pow y 2)) 3))) (cbrt 1) (cbrt (pow (* x (pow y 2)) 3)) (cbrt (pow (* x (pow y 2)) (/ 3 2))) (cbrt (pow (* x (pow y 2)) (/ 3 2))) (* (cbrt (cbrt (pow (* x (pow y 2)) 3))) (cbrt (cbrt (pow (* x (pow y 2)) 3)))) (cbrt (cbrt (pow (* x (pow y 2)) 3))) (* (* (cbrt (pow (* x (pow y 2)) 3)) (cbrt (pow (* x (pow y 2)) 3))) (cbrt (pow (* x (pow y 2)) 3))) (sqrt (cbrt (pow (* x (pow y 2)) 3))) (sqrt (cbrt (pow (* x (pow y 2)) 3))) (+ (log x) (* (log y) 2)) (+ (log x) (* (log y) 2)) (+ (log x) (log (pow y 2))) (log (* x (pow y 2))) (exp (* x (pow y 2))) (* (* (* x x) x) (* (* (pow y 2) (pow y 2)) (pow y 2))) (* (cbrt (* x (pow y 2))) (cbrt (* x (pow y 2)))) (cbrt (* x (pow y 2))) (* (* (* x (pow y 2)) (* x (pow y 2))) (* x (pow y 2))) (sqrt (* x (pow y 2))) (sqrt (* x (pow y 2))) (* (sqrt x) (pow (sqrt y) 2)) (* (sqrt x) (pow (sqrt y) 2)) (* (sqrt x) y) (* (sqrt x) y) (* (sqrt x) (sqrt (pow y 2))) (* (sqrt x) (sqrt (pow y 2))) (* (sqrt x) (pow y (/ 2 2))) (* (sqrt x) (pow y (/ 2 2))) (* x (pow (* (cbrt y) (cbrt y)) 2)) (* x (pow (sqrt y) 2)) (* x (pow 1 2)) (* x y) (* x (* (cbrt (pow y 2)) (cbrt (pow y 2)))) (* x (sqrt (pow y 2))) (* x 1) (* x (pow y (/ 2 2))) (* (cbrt x) (pow y 2)) (* (sqrt x) (pow y 2)) (* x (pow y 2)) (+ (log x) (* (log y) 2)) (+ (log x) (* (log y) 2)) (+ (log x) (log (pow y 2))) (log (* x (pow y 2))) (exp (* x (pow y 2))) (* (* (* x x) x) (* (* (pow y 2) (pow y 2)) (pow y 2))) (* (cbrt (* x (pow y 2))) (cbrt (* x (pow y 2)))) (cbrt (* x (pow y 2))) (* (* (* x (pow y 2)) (* x (pow y 2))) (* x (pow y 2))) (sqrt (* x (pow y 2))) (sqrt (* x (pow y 2))) (* (sqrt x) (pow (sqrt y) 2)) (* (sqrt x) (pow (sqrt y) 2)) (* (sqrt x) y) (* (sqrt x) y) (* (sqrt x) (sqrt (pow y 2))) (* (sqrt x) (sqrt (pow y 2))) (* (sqrt x) (pow y (/ 2 2))) (* (sqrt x) (pow y (/ 2 2))) (* x (pow (* (cbrt y) (cbrt y)) 2)) (* x (pow (sqrt y) 2)) (* x (pow 1 2)) (* x y) (* x (* (cbrt (pow y 2)) (cbrt (pow y 2)))) (* x (sqrt (pow y 2))) (* x 1) (* x (pow y (/ 2 2))) (* (cbrt x) (pow y 2)) (* (sqrt x) (pow y 2)) (* x (pow y 2)) (+ (log x) (* (log y) 2)) (+ (log x) (* (log y) 2)) (+ (log x) (log (pow y 2))) (log (* x (pow y 2))) (exp (* x (pow y 2))) (* (* (* x x) x) (* (* (pow y 2) (pow y 2)) (pow y 2))) (* (cbrt (* x (pow y 2))) (cbrt (* x (pow y 2)))) (cbrt (* x (pow y 2))) (* (* (* x (pow y 2)) (* x (pow y 2))) (* x (pow y 2))) (sqrt (* x (pow y 2))) (sqrt (* x (pow y 2))) (* (sqrt x) (pow (sqrt y) 2)) (* (sqrt x) (pow (sqrt y) 2)) (* (sqrt x) y) (* (sqrt x) y) (* (sqrt x) (sqrt (pow y 2))) (* (sqrt x) (sqrt (pow y 2))) (* (sqrt x) (pow y (/ 2 2))) (* (sqrt x) (pow y (/ 2 2))) (* x (pow (* (cbrt y) (cbrt y)) 2)) (* x (pow (sqrt y) 2)) (* x (pow 1 2)) (* x y) (* x (* (cbrt (pow y 2)) (cbrt (pow y 2)))) (* x (sqrt (pow y 2))) (* x 1) (* x (pow y (/ 2 2))) (* (cbrt x) (pow y 2)) (* (sqrt x) (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* -1 (* (cbrt -1) (* x (pow y 2)))) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) 1.368 * [simplify]: Sending expressions to egg_math: (log (cbrt (pow (* h0 (pow h1 2)) 3))) (exp (cbrt (pow (* h0 (pow h1 2)) 3))) (cbrt (pow h0 3)) (cbrt (pow (pow h1 2) 3)) (cbrt (* (* h0 (pow h1 2)) (* h0 (pow h1 2)))) (cbrt (* h0 (pow h1 2))) (cbrt (* (cbrt (pow (* h0 (pow h1 2)) 3)) (cbrt (pow (* h0 (pow h1 2)) 3)))) (cbrt (cbrt (pow (* h0 (pow h1 2)) 3))) (cbrt (pow h0 3)) (cbrt (pow (pow h1 2) 3)) (cbrt (* h0 (pow h1 2))) (cbrt (* (* h0 (pow h1 2)) (* h0 (pow h1 2)))) (cbrt (sqrt (pow (* h0 (pow h1 2)) 3))) (cbrt (sqrt (pow (* h0 (pow h1 2)) 3))) (cbrt 1) (cbrt (pow (* h0 (pow h1 2)) 3)) (cbrt (pow (* h0 (pow h1 2)) (/ 3 2))) (cbrt (pow (* h0 (pow h1 2)) (/ 3 2))) (* (cbrt (cbrt (pow (* h0 (pow h1 2)) 3))) (cbrt (cbrt (pow (* h0 (pow h1 2)) 3)))) (cbrt (cbrt (pow (* h0 (pow h1 2)) 3))) (* (* (cbrt (pow (* h0 (pow h1 2)) 3)) (cbrt (pow (* h0 (pow h1 2)) 3))) (cbrt (pow (* h0 (pow h1 2)) 3))) (sqrt (cbrt (pow (* h0 (pow h1 2)) 3))) (sqrt (cbrt (pow (* h0 (pow h1 2)) 3))) (+ (log h0) (* (log h1) 2)) (+ (log h0) (* (log h1) 2)) (+ (log h0) (log (pow h1 2))) (log (* h0 (pow h1 2))) (exp (* h0 (pow h1 2))) (* (* (* h0 h0) h0) (* (* (pow h1 2) (pow h1 2)) (pow h1 2))) (* (cbrt (* h0 (pow h1 2))) (cbrt (* h0 (pow h1 2)))) (cbrt (* h0 (pow h1 2))) (* (* (* h0 (pow h1 2)) (* h0 (pow h1 2))) (* h0 (pow h1 2))) (sqrt (* h0 (pow h1 2))) (sqrt (* h0 (pow h1 2))) (* (sqrt h0) (pow (sqrt h1) 2)) (* (sqrt h0) (pow (sqrt h1) 2)) (* (sqrt h0) h1) (* (sqrt h0) h1) (* (sqrt h0) (sqrt (pow h1 2))) (* (sqrt h0) (sqrt (pow h1 2))) (* (sqrt h0) (pow h1 (/ 2 2))) (* (sqrt h0) (pow h1 (/ 2 2))) (* h0 (pow (* (cbrt h1) (cbrt h1)) 2)) (* h0 (pow (sqrt h1) 2)) (* h0 (pow 1 2)) (* h0 h1) (* h0 (* (cbrt (pow h1 2)) (cbrt (pow h1 2)))) (* h0 (sqrt (pow h1 2))) (* h0 1) (* h0 (pow h1 (/ 2 2))) (* (cbrt h0) (pow h1 2)) (* (sqrt h0) (pow h1 2)) (* h0 (pow h1 2)) (+ (log h0) (* (log h1) 2)) (+ (log h0) (* (log h1) 2)) (+ (log h0) (log (pow h1 2))) (log (* h0 (pow h1 2))) (exp (* h0 (pow h1 2))) (* (* (* h0 h0) h0) (* (* (pow h1 2) (pow h1 2)) (pow h1 2))) (* (cbrt (* h0 (pow h1 2))) (cbrt (* h0 (pow h1 2)))) (cbrt (* h0 (pow h1 2))) (* (* (* h0 (pow h1 2)) (* h0 (pow h1 2))) (* h0 (pow h1 2))) (sqrt (* h0 (pow h1 2))) (sqrt (* h0 (pow h1 2))) (* (sqrt h0) (pow (sqrt h1) 2)) (* (sqrt h0) (pow (sqrt h1) 2)) (* (sqrt h0) h1) (* (sqrt h0) h1) (* (sqrt h0) (sqrt (pow h1 2))) (* (sqrt h0) (sqrt (pow h1 2))) (* (sqrt h0) (pow h1 (/ 2 2))) (* (sqrt h0) (pow h1 (/ 2 2))) (* h0 (pow (* (cbrt h1) (cbrt h1)) 2)) (* h0 (pow (sqrt h1) 2)) (* h0 (pow 1 2)) (* h0 h1) (* h0 (* (cbrt (pow h1 2)) (cbrt (pow h1 2)))) (* h0 (sqrt (pow h1 2))) (* h0 1) (* h0 (pow h1 (/ 2 2))) (* (cbrt h0) (pow h1 2)) (* (sqrt h0) (pow h1 2)) (* h0 (pow h1 2)) (+ (log h0) (* (log h1) 2)) (+ (log h0) (* (log h1) 2)) (+ (log h0) (log (pow h1 2))) (log (* h0 (pow h1 2))) (exp (* h0 (pow h1 2))) (* (* (* h0 h0) h0) (* (* (pow h1 2) (pow h1 2)) (pow h1 2))) (* (cbrt (* h0 (pow h1 2))) (cbrt (* h0 (pow h1 2)))) (cbrt (* h0 (pow h1 2))) (* (* (* h0 (pow h1 2)) (* h0 (pow h1 2))) (* h0 (pow h1 2))) (sqrt (* h0 (pow h1 2))) (sqrt (* h0 (pow h1 2))) (* (sqrt h0) (pow (sqrt h1) 2)) (* (sqrt h0) (pow (sqrt h1) 2)) (* (sqrt h0) h1) (* (sqrt h0) h1) (* (sqrt h0) (sqrt (pow h1 2))) (* (sqrt h0) (sqrt (pow h1 2))) (* (sqrt h0) (pow h1 (/ 2 2))) (* (sqrt h0) (pow h1 (/ 2 2))) (* h0 (pow (* (cbrt h1) (cbrt h1)) 2)) (* h0 (pow (sqrt h1) 2)) (* h0 (pow 1 2)) (* h0 h1) (* h0 (* (cbrt (pow h1 2)) (cbrt (pow h1 2)))) (* h0 (sqrt (pow h1 2))) (* h0 1) (* h0 (pow h1 (/ 2 2))) (* (cbrt h0) (pow h1 2)) (* (sqrt h0) (pow h1 2)) (* h0 (pow h1 2)) (* h0 (pow h1 2)) (* h0 (pow h1 2)) (* -1 (* (cbrt -1) (* h0 (pow h1 2)))) (* h0 (pow h1 2)) (* h0 (pow h1 2)) (* h0 (pow h1 2)) (* h0 (pow h1 2)) (* h0 (pow h1 2)) (* h0 (pow h1 2)) (* h0 (pow h1 2)) (* h0 (pow h1 2)) (* h0 (pow h1 2)) 1.372 * * [simplify]: iteration 0 : 150 enodes (cost 386 ) 1.375 * * [simplify]: iteration 1 : 577 enodes (cost 347 ) 1.387 * * [simplify]: iteration 2 : 2712 enodes (cost 346 ) 1.459 * * [simplify]: iteration 3 : 5001 enodes (cost 343 ) 1.461 * * * [progress]: adding candidates to table 1.784 * [progress]: [Phase 3 of 3] Extracting. 1.784 * * [regime]: Finding splitpoints for: (# #) 1.785 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.785 * * * * [regimes]: Trying to branch on y from (# #) 1.800 * * * * [regimes]: Trying to branch on x from (# #) 1.813 * * * [regime]: Found split indices: #