78.814 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.041 * * * [progress]: [2/2] Setting up program. 0.048 * [progress]: [Phase 2 of 3] Improving. 0.048 * [simplify]: Simplifying: (sqrt (+ (* x x) y)) 0.048 * * [simplify]: iteration 0: 5 enodes 0.049 * * [simplify]: iteration 1: 6 enodes 0.051 * * [simplify]: iteration complete: 6 enodes 0.051 * * [simplify]: Extracting #0: cost 1 inf + 0 0.051 * * [simplify]: Extracting #1: cost 2 inf + 0 0.051 * * [simplify]: Extracting #2: cost 4 inf + 0 0.051 * * [simplify]: Extracting #3: cost 4 inf + 1 0.051 * * [simplify]: Extracting #4: cost 2 inf + 43 0.051 * * [simplify]: Extracting #5: cost 0 inf + 247 0.051 * [simplify]: Simplified to: (sqrt (+ y (* x x))) 0.052 * * [progress]: iteration 1 / 4 0.052 * * * [progress]: picking best candidate 0.059 * * * * [pick]: Picked # 0.059 * * * [progress]: localizing error 0.072 * * * [progress]: generating rewritten candidates 0.073 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.092 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.107 * * * [progress]: generating series expansions 0.107 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.108 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 0.108 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.108 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.108 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.108 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.108 * [taylor]: Taking taylor expansion of x in y 0.108 * [backup-simplify]: Simplify x into x 0.108 * [taylor]: Taking taylor expansion of y in y 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.108 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.108 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.108 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.109 * [backup-simplify]: Simplify (+ 0 1) into 1 0.109 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.109 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.109 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.109 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [backup-simplify]: Simplify y into y 0.110 * [backup-simplify]: Simplify (+ 0 y) into y 0.110 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.110 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.110 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [backup-simplify]: Simplify y into y 0.110 * [backup-simplify]: Simplify (+ 0 y) into y 0.111 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.111 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (sqrt 0) into 0 0.113 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.114 * [backup-simplify]: Simplify (* 1 1) into 1 0.114 * [backup-simplify]: Simplify (+ 1 0) into 1 0.115 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.115 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.115 * [taylor]: Taking taylor expansion of 1/2 in y 0.115 * [backup-simplify]: Simplify 1/2 into 1/2 0.115 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.115 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (/ 1 1) into 1 0.116 * [backup-simplify]: Simplify (sqrt 0) into 0 0.117 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.119 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.119 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.119 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.123 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.124 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) 0.124 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 0.124 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.124 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.125 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.125 * [taylor]: Taking taylor expansion of x in y 0.125 * [backup-simplify]: Simplify x into x 0.125 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.125 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.125 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.125 * [taylor]: Taking taylor expansion of y in y 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (/ 1 1) into 1 0.126 * [backup-simplify]: Simplify (+ 0 1) into 1 0.126 * [backup-simplify]: Simplify (sqrt 0) into 0 0.128 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.128 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (* 1 1) into 1 0.129 * [backup-simplify]: Simplify (/ 1 1) into 1 0.129 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.129 * [taylor]: Taking taylor expansion of y in x 0.129 * [backup-simplify]: Simplify y into y 0.129 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.129 * [backup-simplify]: Simplify (+ 1 0) into 1 0.130 * [backup-simplify]: Simplify (sqrt 1) into 1 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (+ 0 0) into 0 0.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (* 1 1) into 1 0.135 * [backup-simplify]: Simplify (/ 1 1) into 1 0.135 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.135 * [taylor]: Taking taylor expansion of y in x 0.135 * [backup-simplify]: Simplify y into y 0.135 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.135 * [backup-simplify]: Simplify (+ 1 0) into 1 0.136 * [backup-simplify]: Simplify (sqrt 1) into 1 0.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.138 * [taylor]: Taking taylor expansion of 1 in y 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [taylor]: Taking taylor expansion of 0 in y 0.138 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.142 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.142 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.142 * [taylor]: Taking taylor expansion of 1/2 in y 0.142 * [backup-simplify]: Simplify 1/2 into 1/2 0.142 * [taylor]: Taking taylor expansion of y in y 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.143 * [backup-simplify]: Simplify 1/2 into 1/2 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) 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 (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.150 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.151 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.152 * [taylor]: Taking taylor expansion of -1/8 in y 0.152 * [backup-simplify]: Simplify -1/8 into -1/8 0.152 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.152 * [taylor]: Taking taylor expansion of y in y 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (* 1 1) into 1 0.153 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.155 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 0.155 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.155 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.155 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.155 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.155 * [taylor]: Taking taylor expansion of x in y 0.155 * [backup-simplify]: Simplify x into x 0.155 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.155 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.155 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.155 * [taylor]: Taking taylor expansion of y in y 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (/ 1 1) into 1 0.156 * [backup-simplify]: Simplify (- 1) into -1 0.157 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.157 * [backup-simplify]: Simplify (sqrt 0) into 0 0.158 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.158 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.158 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (* 1 1) into 1 0.159 * [backup-simplify]: Simplify (/ 1 1) into 1 0.159 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.159 * [taylor]: Taking taylor expansion of y in x 0.159 * [backup-simplify]: Simplify y into y 0.159 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.160 * [backup-simplify]: Simplify (+ 1 0) into 1 0.160 * [backup-simplify]: Simplify (sqrt 1) into 1 0.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.162 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.162 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.163 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (* 1 1) into 1 0.163 * [backup-simplify]: Simplify (/ 1 1) into 1 0.163 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.163 * [backup-simplify]: Simplify y into y 0.164 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.164 * [backup-simplify]: Simplify (+ 1 0) into 1 0.164 * [backup-simplify]: Simplify (sqrt 1) into 1 0.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.167 * [taylor]: Taking taylor expansion of 1 in y 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [taylor]: Taking taylor expansion of 0 in y 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.169 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.171 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.171 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.171 * [taylor]: Taking taylor expansion of -1/2 in y 0.171 * [backup-simplify]: Simplify -1/2 into -1/2 0.171 * [taylor]: Taking taylor expansion of y in y 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.171 * [backup-simplify]: Simplify -1/2 into -1/2 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.174 * [backup-simplify]: Simplify (- 0) into 0 0.174 * [backup-simplify]: Simplify (+ 0 0) into 0 0.175 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.175 * [taylor]: Taking taylor expansion of 0 in y 0.175 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.187 * [backup-simplify]: Simplify (- 0) into 0 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.189 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.189 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.189 * [taylor]: Taking taylor expansion of -1/8 in y 0.189 * [backup-simplify]: Simplify -1/8 into -1/8 0.189 * [taylor]: Taking taylor expansion of (pow y 2) 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 0.191 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.193 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.193 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.193 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.193 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.193 * [taylor]: Taking taylor expansion of (pow x 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 y in y 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.193 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.194 * [taylor]: Taking taylor expansion of y in x 0.194 * [backup-simplify]: Simplify y into y 0.194 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.194 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [taylor]: Taking taylor expansion of y in x 0.194 * [backup-simplify]: Simplify y into y 0.194 * [backup-simplify]: Simplify (+ 0 y) into 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 0.194 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [taylor]: Taking taylor expansion of 0 in y 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (* 1 1) into 1 0.196 * [backup-simplify]: Simplify (+ 1 0) into 1 0.196 * [taylor]: Taking taylor expansion of 1 in y 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.197 * [backup-simplify]: Simplify (+ 0 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 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.198 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.198 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.198 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.198 * [taylor]: Taking taylor expansion of x in y 0.198 * [backup-simplify]: Simplify x into x 0.198 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.198 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.198 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.199 * [taylor]: Taking taylor expansion of y in y 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (/ 1 1) into 1 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.199 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (* 1 1) into 1 0.200 * [backup-simplify]: Simplify (/ 1 1) into 1 0.200 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.200 * [taylor]: Taking taylor expansion of y in x 0.200 * [backup-simplify]: Simplify y into y 0.200 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.200 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (* 1 1) into 1 0.201 * [backup-simplify]: Simplify (/ 1 1) into 1 0.201 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.201 * [taylor]: Taking taylor expansion of y in x 0.201 * [backup-simplify]: Simplify y into y 0.201 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.202 * [backup-simplify]: Simplify (+ 1 0) into 1 0.202 * [taylor]: Taking taylor expansion of 1 in y 0.202 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [taylor]: Taking taylor expansion of 0 in y 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.206 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (/ 1 1) into 1 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.209 * [backup-simplify]: Simplify (+ 0 0) into 0 0.209 * [taylor]: Taking taylor expansion of 0 in y 0.209 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.213 * [backup-simplify]: Simplify (+ 0 0) into 0 0.213 * [taylor]: Taking taylor expansion of 0 in y 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.213 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.213 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.214 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.214 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.214 * [taylor]: Taking taylor expansion of x in y 0.214 * [backup-simplify]: Simplify x into x 0.214 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.214 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.214 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.214 * [taylor]: Taking taylor expansion of y in y 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.214 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (* 1 1) into 1 0.215 * [backup-simplify]: Simplify (/ 1 1) into 1 0.215 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.215 * [taylor]: Taking taylor expansion of y in x 0.215 * [backup-simplify]: Simplify y into y 0.215 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.216 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.216 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (* 1 1) into 1 0.216 * [backup-simplify]: Simplify (/ 1 1) into 1 0.217 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.217 * [taylor]: Taking taylor expansion of y in x 0.217 * [backup-simplify]: Simplify y into y 0.217 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.217 * [backup-simplify]: Simplify (+ 1 0) into 1 0.217 * [taylor]: Taking taylor expansion of 1 in y 0.217 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (+ 0 0) into 0 0.219 * [taylor]: Taking taylor expansion of 0 in y 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.221 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.221 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.221 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.221 * [taylor]: Taking taylor expansion of y in y 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (/ 1 1) into 1 0.222 * [backup-simplify]: Simplify (- 1) into -1 0.222 * [backup-simplify]: Simplify -1 into -1 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.225 * [backup-simplify]: Simplify (- 0) into 0 0.225 * [backup-simplify]: Simplify (+ 0 0) into 0 0.225 * [taylor]: Taking taylor expansion of 0 in y 0.225 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (- 0) into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.229 * [backup-simplify]: Simplify (- 0) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [taylor]: Taking taylor expansion of 0 in y 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.230 * * * [progress]: simplifying candidates 0.231 * [simplify]: Simplifying: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.232 * * [simplify]: iteration 0: 59 enodes 0.263 * * [simplify]: iteration 1: 146 enodes 0.371 * * [simplify]: iteration 2: 400 enodes 0.753 * * [simplify]: iteration 3: 1343 enodes 2.636 * * [simplify]: iteration complete: 5003 enodes 2.637 * * [simplify]: Extracting #0: cost 28 inf + 0 2.638 * * [simplify]: Extracting #1: cost 349 inf + 2 2.654 * * [simplify]: Extracting #2: cost 1773 inf + 1605 2.687 * * [simplify]: Extracting #3: cost 1649 inf + 60305 2.765 * * [simplify]: Extracting #4: cost 461 inf + 238026 2.870 * * [simplify]: Extracting #5: cost 61 inf + 326520 2.989 * * [simplify]: Extracting #6: cost 26 inf + 336134 3.104 * * [simplify]: Extracting #7: cost 3 inf + 340333 3.208 * * [simplify]: Extracting #8: cost 0 inf + 341212 3.391 * [simplify]: Simplified to: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (+ (* x x) y) (sqrt (+ (* x x) y))) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (+ (* (* y y) y) (* (* (* x x) x) (* (* x x) x)))) (sqrt (+ (* (* x x) (* x x)) (* (- y (* x x)) y))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (* (* y y) y) (* (* (* x x) x) (* (* x x) x))) (+ (* (* x x) (* x x)) (* (- y (* x x)) y)) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (- (* +nan.0 (- (* x x) (- (* y y) y)))) (+ (/ 1/2 (/ x y)) x) (- (/ (* -1/2 y) x) x) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) 3.394 * * * [progress]: adding candidates to table 3.628 * * [progress]: iteration 2 / 4 3.628 * * * [progress]: picking best candidate 3.656 * * * * [pick]: Picked # 3.656 * * * [progress]: localizing error 3.700 * * * [progress]: generating rewritten candidates 3.701 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 3.714 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 3.726 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 3.738 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.913 * * * [progress]: generating series expansions 3.913 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 3.913 * [backup-simplify]: Simplify (cbrt (+ (* x x) y)) into (pow (+ (pow x 2) y) 1/3) 3.913 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in (x y) around 0 3.913 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in y 3.913 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in y 3.913 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in y 3.913 * [taylor]: Taking taylor expansion of 1/3 in y 3.913 * [backup-simplify]: Simplify 1/3 into 1/3 3.913 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in y 3.913 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 3.913 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.913 * [taylor]: Taking taylor expansion of x in y 3.913 * [backup-simplify]: Simplify x into x 3.913 * [taylor]: Taking taylor expansion of y in y 3.913 * [backup-simplify]: Simplify 0 into 0 3.913 * [backup-simplify]: Simplify 1 into 1 3.913 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.913 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.913 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 3.914 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 3.914 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 3.914 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in x 3.914 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in x 3.914 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in x 3.914 * [taylor]: Taking taylor expansion of 1/3 in x 3.914 * [backup-simplify]: Simplify 1/3 into 1/3 3.914 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 3.914 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 3.914 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.914 * [taylor]: Taking taylor expansion of x in x 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify 1 into 1 3.914 * [taylor]: Taking taylor expansion of y in x 3.914 * [backup-simplify]: Simplify y into y 3.914 * [backup-simplify]: Simplify (+ 0 y) into y 3.914 * [backup-simplify]: Simplify (log y) into (log y) 3.914 * [backup-simplify]: Simplify (* 1/3 (log y)) into (* 1/3 (log y)) 3.914 * [backup-simplify]: Simplify (exp (* 1/3 (log y))) into (pow y 1/3) 3.914 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in x 3.914 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in x 3.914 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in x 3.914 * [taylor]: Taking taylor expansion of 1/3 in x 3.914 * [backup-simplify]: Simplify 1/3 into 1/3 3.914 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 3.914 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 3.914 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.914 * [taylor]: Taking taylor expansion of x in x 3.914 * [backup-simplify]: Simplify 0 into 0 3.915 * [backup-simplify]: Simplify 1 into 1 3.915 * [taylor]: Taking taylor expansion of y in x 3.915 * [backup-simplify]: Simplify y into y 3.915 * [backup-simplify]: Simplify (+ 0 y) into y 3.915 * [backup-simplify]: Simplify (log y) into (log y) 3.915 * [backup-simplify]: Simplify (* 1/3 (log y)) into (* 1/3 (log y)) 3.915 * [backup-simplify]: Simplify (exp (* 1/3 (log y))) into (pow y 1/3) 3.915 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 3.915 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 3.915 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 3.915 * [taylor]: Taking taylor expansion of 1/3 in y 3.915 * [backup-simplify]: Simplify 1/3 into 1/3 3.915 * [taylor]: Taking taylor expansion of (log y) in y 3.915 * [taylor]: Taking taylor expansion of y in y 3.915 * [backup-simplify]: Simplify 0 into 0 3.915 * [backup-simplify]: Simplify 1 into 1 3.916 * [backup-simplify]: Simplify (log 1) into 0 3.917 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y) 3.917 * [backup-simplify]: Simplify (* 1/3 (log y)) into (* 1/3 (log y)) 3.917 * [backup-simplify]: Simplify (exp (* 1/3 (log y))) into (pow y 1/3) 3.917 * [backup-simplify]: Simplify (pow y 1/3) into (pow y 1/3) 3.918 * [backup-simplify]: Simplify (+ 0 0) into 0 3.919 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow y 1)))) 1) into 0 3.919 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log y))) into 0 3.920 * [backup-simplify]: Simplify (* (exp (* 1/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 3.920 * [taylor]: Taking taylor expansion of 0 in y 3.920 * [backup-simplify]: Simplify 0 into 0 3.920 * [backup-simplify]: Simplify 0 into 0 3.922 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.923 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y) 3.923 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log y))) into 0 3.924 * [backup-simplify]: Simplify (* (exp (* 1/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 3.924 * [backup-simplify]: Simplify 0 into 0 3.924 * [backup-simplify]: Simplify (* 1 1) into 1 3.925 * [backup-simplify]: Simplify (+ 1 0) into 1 3.926 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow y 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow y 1)))) 2) into (/ 1 y) 3.927 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 y)) (+ (* 0 0) (* 0 (log y)))) into (* 1/3 (/ 1 y)) 3.927 * [backup-simplify]: Simplify (* (exp (* 1/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 y)) 1) 1)))) into (* 1/3 (pow (/ 1 (pow y 2)) 1/3)) 3.927 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 2)) 1/3)) in y 3.927 * [taylor]: Taking taylor expansion of 1/3 in y 3.927 * [backup-simplify]: Simplify 1/3 into 1/3 3.927 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 3.927 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 3.927 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 3.927 * [taylor]: Taking taylor expansion of 1/3 in y 3.927 * [backup-simplify]: Simplify 1/3 into 1/3 3.927 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 3.927 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.928 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.928 * [taylor]: Taking taylor expansion of y in y 3.928 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify 1 into 1 3.928 * [backup-simplify]: Simplify (* 1 1) into 1 3.928 * [backup-simplify]: Simplify (/ 1 1) into 1 3.929 * [backup-simplify]: Simplify (log 1) into 0 3.929 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 3.929 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 3.929 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 3.930 * [backup-simplify]: Simplify (* 1/3 (pow y -2/3)) into (* 1/3 (pow (/ 1 (pow y 2)) 1/3)) 3.930 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow y 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow y 2)) 1/3)) 3.930 * [backup-simplify]: Simplify 0 into 0 3.933 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.934 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y) 3.935 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log y)))) into 0 3.936 * [backup-simplify]: Simplify (* (exp (* 1/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.936 * [backup-simplify]: Simplify 0 into 0 3.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.937 * [backup-simplify]: Simplify (+ 0 0) into 0 3.941 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow y 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow y 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow y 1)))) 6) into 0 3.942 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 y)) (+ (* 0 0) (* 0 (log y))))) into 0 3.945 * [backup-simplify]: Simplify (* (exp (* 1/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 y)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.945 * [taylor]: Taking taylor expansion of 0 in y 3.945 * [backup-simplify]: Simplify 0 into 0 3.945 * [backup-simplify]: Simplify 0 into 0 3.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.948 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.949 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 3.949 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log y))))) into 0 3.951 * [backup-simplify]: Simplify (* (exp (* -2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 3.951 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow y -2/3))) into 0 3.951 * [backup-simplify]: Simplify 0 into 0 3.951 * [backup-simplify]: Simplify 0 into 0 3.957 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.958 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y) 3.959 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log y))))) into 0 3.961 * [backup-simplify]: Simplify (* (exp (* 1/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.961 * [backup-simplify]: Simplify 0 into 0 3.962 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow y 2)) 1/3)) (pow (* 1 x) 2)) (pow y 1/3)) into (+ (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 2)) 1/3))) (pow y 1/3)) 3.962 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) 3.962 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in (x y) around 0 3.962 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in y 3.962 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in y 3.962 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 3.963 * [taylor]: Taking taylor expansion of 1/3 in y 3.963 * [backup-simplify]: Simplify 1/3 into 1/3 3.963 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in y 3.963 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 3.963 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.963 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.963 * [taylor]: Taking taylor expansion of x in y 3.963 * [backup-simplify]: Simplify x into x 3.963 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.963 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.963 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.963 * [taylor]: Taking taylor expansion of y in y 3.963 * [backup-simplify]: Simplify 0 into 0 3.963 * [backup-simplify]: Simplify 1 into 1 3.964 * [backup-simplify]: Simplify (/ 1 1) into 1 3.964 * [backup-simplify]: Simplify (+ 0 1) into 1 3.965 * [backup-simplify]: Simplify (log 1) into 0 3.965 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) 0) into (- (log y)) 3.965 * [backup-simplify]: Simplify (* 1/3 (- (log y))) into (* -1/3 (log y)) 3.965 * [backup-simplify]: Simplify (exp (* -1/3 (log y))) into (pow y -1/3) 3.965 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 3.965 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 3.965 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 3.965 * [taylor]: Taking taylor expansion of 1/3 in x 3.965 * [backup-simplify]: Simplify 1/3 into 1/3 3.966 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 3.966 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 3.966 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.966 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.966 * [taylor]: Taking taylor expansion of x in x 3.966 * [backup-simplify]: Simplify 0 into 0 3.966 * [backup-simplify]: Simplify 1 into 1 3.966 * [backup-simplify]: Simplify (* 1 1) into 1 3.966 * [backup-simplify]: Simplify (/ 1 1) into 1 3.966 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.967 * [taylor]: Taking taylor expansion of y in x 3.967 * [backup-simplify]: Simplify y into y 3.967 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.967 * [backup-simplify]: Simplify (+ 1 0) into 1 3.967 * [backup-simplify]: Simplify (log 1) into 0 3.968 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.968 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 3.968 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 3.968 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 3.968 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 3.968 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 3.968 * [taylor]: Taking taylor expansion of 1/3 in x 3.968 * [backup-simplify]: Simplify 1/3 into 1/3 3.968 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 3.968 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 3.968 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.968 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.968 * [taylor]: Taking taylor expansion of x in x 3.968 * [backup-simplify]: Simplify 0 into 0 3.968 * [backup-simplify]: Simplify 1 into 1 3.969 * [backup-simplify]: Simplify (* 1 1) into 1 3.969 * [backup-simplify]: Simplify (/ 1 1) into 1 3.969 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.969 * [taylor]: Taking taylor expansion of y in x 3.969 * [backup-simplify]: Simplify y into y 3.969 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.970 * [backup-simplify]: Simplify (+ 1 0) into 1 3.970 * [backup-simplify]: Simplify (log 1) into 0 3.971 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.971 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 3.971 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 3.971 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 3.971 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 3.971 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 3.971 * [taylor]: Taking taylor expansion of -2/3 in y 3.971 * [backup-simplify]: Simplify -2/3 into -2/3 3.971 * [taylor]: Taking taylor expansion of (log x) in y 3.971 * [taylor]: Taking taylor expansion of x in y 3.971 * [backup-simplify]: Simplify x into x 3.972 * [backup-simplify]: Simplify (log x) into (log x) 3.972 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 3.972 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 3.972 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 3.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.974 * [backup-simplify]: Simplify (+ 0 0) into 0 3.975 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.976 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.976 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 3.977 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 3.977 * [taylor]: Taking taylor expansion of 0 in y 3.977 * [backup-simplify]: Simplify 0 into 0 3.977 * [backup-simplify]: Simplify 0 into 0 3.978 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 3.978 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 3.979 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 3.979 * [backup-simplify]: Simplify 0 into 0 3.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.981 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 3.983 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 y)) 1)) (pow 1 1)))) 2) into (/ 1 y) 3.984 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.984 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 y)) 3.985 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 y)) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) 3.985 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) in y 3.985 * [taylor]: Taking taylor expansion of 1/3 in y 3.985 * [backup-simplify]: Simplify 1/3 into 1/3 3.985 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y)) in y 3.985 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 3.985 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 3.986 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 3.986 * [taylor]: Taking taylor expansion of 1/3 in y 3.986 * [backup-simplify]: Simplify 1/3 into 1/3 3.986 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 3.986 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.986 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.986 * [taylor]: Taking taylor expansion of x in y 3.986 * [backup-simplify]: Simplify x into x 3.986 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.986 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.986 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 3.986 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 3.987 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 3.987 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.987 * [taylor]: Taking taylor expansion of y in y 3.987 * [backup-simplify]: Simplify 0 into 0 3.987 * [backup-simplify]: Simplify 1 into 1 3.987 * [backup-simplify]: Simplify (/ 1 1) into 1 3.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.988 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 3.989 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 3.990 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 3.991 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.992 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 3.992 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 3.992 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 (pow x 2)) 1/3))) into 0 3.993 * [backup-simplify]: Simplify 0 into 0 3.993 * [backup-simplify]: Simplify 0 into 0 3.994 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 3.995 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 3.997 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.997 * [backup-simplify]: Simplify 0 into 0 3.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.999 * [backup-simplify]: Simplify (+ 0 0) into 0 4.003 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 y)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.003 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.004 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 4.007 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 y)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.007 * [taylor]: Taking taylor expansion of 0 in y 4.007 * [backup-simplify]: Simplify 0 into 0 4.007 * [backup-simplify]: Simplify 0 into 0 4.007 * [backup-simplify]: Simplify (pow (/ 1 x) -2/3) into (pow (/ 1 x) -2/3) 4.007 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) 4.007 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in (x y) around 0 4.007 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in y 4.007 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in y 4.007 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in y 4.007 * [taylor]: Taking taylor expansion of 1/3 in y 4.007 * [backup-simplify]: Simplify 1/3 into 1/3 4.007 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in y 4.007 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 4.007 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.007 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.008 * [taylor]: Taking taylor expansion of x in y 4.008 * [backup-simplify]: Simplify x into x 4.008 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.008 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.008 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.008 * [taylor]: Taking taylor expansion of y in y 4.008 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify 1 into 1 4.008 * [backup-simplify]: Simplify (/ 1 1) into 1 4.009 * [backup-simplify]: Simplify (- 1) into -1 4.009 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.010 * [backup-simplify]: Simplify (log -1) into (log -1) 4.010 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) 4.011 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log y))) into (* 1/3 (- (log -1) (log y))) 4.011 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log y)))) into (exp (* 1/3 (- (log -1) (log y)))) 4.012 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 4.012 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 4.012 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 4.012 * [taylor]: Taking taylor expansion of 1/3 in x 4.012 * [backup-simplify]: Simplify 1/3 into 1/3 4.012 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 4.012 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 4.012 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.012 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.012 * [taylor]: Taking taylor expansion of x in x 4.012 * [backup-simplify]: Simplify 0 into 0 4.012 * [backup-simplify]: Simplify 1 into 1 4.012 * [backup-simplify]: Simplify (* 1 1) into 1 4.013 * [backup-simplify]: Simplify (/ 1 1) into 1 4.013 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.013 * [taylor]: Taking taylor expansion of y in x 4.013 * [backup-simplify]: Simplify y into y 4.013 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.013 * [backup-simplify]: Simplify (+ 1 0) into 1 4.013 * [backup-simplify]: Simplify (log 1) into 0 4.014 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.014 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 4.014 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 4.014 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 4.014 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 4.014 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 4.014 * [taylor]: Taking taylor expansion of 1/3 in x 4.014 * [backup-simplify]: Simplify 1/3 into 1/3 4.014 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 4.014 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 4.014 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.014 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.014 * [taylor]: Taking taylor expansion of x in x 4.014 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify 1 into 1 4.015 * [backup-simplify]: Simplify (* 1 1) into 1 4.015 * [backup-simplify]: Simplify (/ 1 1) into 1 4.015 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.015 * [taylor]: Taking taylor expansion of y in x 4.015 * [backup-simplify]: Simplify y into y 4.015 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.016 * [backup-simplify]: Simplify (+ 1 0) into 1 4.016 * [backup-simplify]: Simplify (log 1) into 0 4.017 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.017 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 4.017 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 4.017 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 4.017 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 4.017 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 4.017 * [taylor]: Taking taylor expansion of -2/3 in y 4.017 * [backup-simplify]: Simplify -2/3 into -2/3 4.017 * [taylor]: Taking taylor expansion of (log x) in y 4.017 * [taylor]: Taking taylor expansion of x in y 4.017 * [backup-simplify]: Simplify x into x 4.017 * [backup-simplify]: Simplify (log x) into (log x) 4.017 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 4.018 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 4.018 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 4.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.020 * [backup-simplify]: Simplify (+ 0 0) into 0 4.021 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.021 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.022 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 4.023 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 4.023 * [taylor]: Taking taylor expansion of 0 in y 4.023 * [backup-simplify]: Simplify 0 into 0 4.023 * [backup-simplify]: Simplify 0 into 0 4.024 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 4.024 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 4.025 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 4.025 * [backup-simplify]: Simplify 0 into 0 4.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.028 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 4.028 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 4.030 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (/ 1 y))) 1)) (pow 1 1)))) 2) into (/ -1 y) 4.030 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.031 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (- (* 1/3 (/ 1 y))) 4.032 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 y))) 1) 1)))) into (* -1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) 4.032 * [taylor]: Taking taylor expansion of (* -1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) in y 4.032 * [taylor]: Taking taylor expansion of -1/3 in y 4.032 * [backup-simplify]: Simplify -1/3 into -1/3 4.032 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y)) in y 4.032 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 4.032 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 4.032 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 4.032 * [taylor]: Taking taylor expansion of 1/3 in y 4.032 * [backup-simplify]: Simplify 1/3 into 1/3 4.032 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 4.032 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.032 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.032 * [taylor]: Taking taylor expansion of x in y 4.032 * [backup-simplify]: Simplify x into x 4.032 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.033 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.033 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 4.033 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 4.033 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 4.033 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.033 * [taylor]: Taking taylor expansion of y in y 4.033 * [backup-simplify]: Simplify 0 into 0 4.033 * [backup-simplify]: Simplify 1 into 1 4.034 * [backup-simplify]: Simplify (/ 1 1) into 1 4.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.035 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 4.036 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 4.037 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 4.038 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.039 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 4.039 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 4.040 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (pow (/ 1 (pow x 2)) 1/3))) into 0 4.040 * [backup-simplify]: Simplify 0 into 0 4.040 * [backup-simplify]: Simplify 0 into 0 4.042 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 4.043 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 4.044 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.044 * [backup-simplify]: Simplify 0 into 0 4.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.047 * [backup-simplify]: Simplify (- 0) into 0 4.047 * [backup-simplify]: Simplify (+ 0 0) into 0 4.051 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (/ 1 y))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.051 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.052 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ -1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 4.055 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* 1/3 (/ 1 y))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.055 * [taylor]: Taking taylor expansion of 0 in y 4.055 * [backup-simplify]: Simplify 0 into 0 4.055 * [backup-simplify]: Simplify 0 into 0 4.055 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -2/3) into (pow (/ -1 x) -2/3) 4.055 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 4.056 * [backup-simplify]: Simplify (cbrt (+ (* x x) y)) into (pow (+ (pow x 2) y) 1/3) 4.056 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in (x y) around 0 4.056 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in y 4.056 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in y 4.056 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in y 4.056 * [taylor]: Taking taylor expansion of 1/3 in y 4.056 * [backup-simplify]: Simplify 1/3 into 1/3 4.056 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in y 4.056 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 4.056 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.056 * [taylor]: Taking taylor expansion of x in y 4.056 * [backup-simplify]: Simplify x into x 4.056 * [taylor]: Taking taylor expansion of y in y 4.056 * [backup-simplify]: Simplify 0 into 0 4.056 * [backup-simplify]: Simplify 1 into 1 4.056 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.056 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.056 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 4.056 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 4.057 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 4.057 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in x 4.057 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in x 4.057 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in x 4.057 * [taylor]: Taking taylor expansion of 1/3 in x 4.057 * [backup-simplify]: Simplify 1/3 into 1/3 4.057 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 4.057 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 4.057 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.057 * [taylor]: Taking taylor expansion of x in x 4.057 * [backup-simplify]: Simplify 0 into 0 4.057 * [backup-simplify]: Simplify 1 into 1 4.057 * [taylor]: Taking taylor expansion of y in x 4.057 * [backup-simplify]: Simplify y into y 4.057 * [backup-simplify]: Simplify (+ 0 y) into y 4.057 * [backup-simplify]: Simplify (log y) into (log y) 4.057 * [backup-simplify]: Simplify (* 1/3 (log y)) into (* 1/3 (log y)) 4.057 * [backup-simplify]: Simplify (exp (* 1/3 (log y))) into (pow y 1/3) 4.057 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in x 4.057 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in x 4.057 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in x 4.057 * [taylor]: Taking taylor expansion of 1/3 in x 4.058 * [backup-simplify]: Simplify 1/3 into 1/3 4.058 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 4.058 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 4.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.058 * [taylor]: Taking taylor expansion of x in x 4.058 * [backup-simplify]: Simplify 0 into 0 4.058 * [backup-simplify]: Simplify 1 into 1 4.058 * [taylor]: Taking taylor expansion of y in x 4.058 * [backup-simplify]: Simplify y into y 4.058 * [backup-simplify]: Simplify (+ 0 y) into y 4.058 * [backup-simplify]: Simplify (log y) into (log y) 4.058 * [backup-simplify]: Simplify (* 1/3 (log y)) into (* 1/3 (log y)) 4.058 * [backup-simplify]: Simplify (exp (* 1/3 (log y))) into (pow y 1/3) 4.058 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 4.058 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 4.058 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 4.058 * [taylor]: Taking taylor expansion of 1/3 in y 4.058 * [backup-simplify]: Simplify 1/3 into 1/3 4.058 * [taylor]: Taking taylor expansion of (log y) in y 4.058 * [taylor]: Taking taylor expansion of y in y 4.058 * [backup-simplify]: Simplify 0 into 0 4.059 * [backup-simplify]: Simplify 1 into 1 4.059 * [backup-simplify]: Simplify (log 1) into 0 4.060 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y) 4.060 * [backup-simplify]: Simplify (* 1/3 (log y)) into (* 1/3 (log y)) 4.060 * [backup-simplify]: Simplify (exp (* 1/3 (log y))) into (pow y 1/3) 4.060 * [backup-simplify]: Simplify (pow y 1/3) into (pow y 1/3) 4.065 * [backup-simplify]: Simplify (+ 0 0) into 0 4.066 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow y 1)))) 1) into 0 4.066 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log y))) into 0 4.067 * [backup-simplify]: Simplify (* (exp (* 1/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 4.067 * [taylor]: Taking taylor expansion of 0 in y 4.067 * [backup-simplify]: Simplify 0 into 0 4.068 * [backup-simplify]: Simplify 0 into 0 4.069 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.070 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y) 4.071 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log y))) into 0 4.071 * [backup-simplify]: Simplify (* (exp (* 1/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 4.072 * [backup-simplify]: Simplify 0 into 0 4.072 * [backup-simplify]: Simplify (* 1 1) into 1 4.072 * [backup-simplify]: Simplify (+ 1 0) into 1 4.075 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow y 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow y 1)))) 2) into (/ 1 y) 4.076 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 y)) (+ (* 0 0) (* 0 (log y)))) into (* 1/3 (/ 1 y)) 4.077 * [backup-simplify]: Simplify (* (exp (* 1/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 y)) 1) 1)))) into (* 1/3 (pow (/ 1 (pow y 2)) 1/3)) 4.077 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 2)) 1/3)) in y 4.077 * [taylor]: Taking taylor expansion of 1/3 in y 4.077 * [backup-simplify]: Simplify 1/3 into 1/3 4.077 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 4.077 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 4.077 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 4.077 * [taylor]: Taking taylor expansion of 1/3 in y 4.077 * [backup-simplify]: Simplify 1/3 into 1/3 4.077 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 4.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.077 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.077 * [taylor]: Taking taylor expansion of y in y 4.077 * [backup-simplify]: Simplify 0 into 0 4.077 * [backup-simplify]: Simplify 1 into 1 4.078 * [backup-simplify]: Simplify (* 1 1) into 1 4.078 * [backup-simplify]: Simplify (/ 1 1) into 1 4.079 * [backup-simplify]: Simplify (log 1) into 0 4.079 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 4.079 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 4.079 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 4.080 * [backup-simplify]: Simplify (* 1/3 (pow y -2/3)) into (* 1/3 (pow (/ 1 (pow y 2)) 1/3)) 4.080 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow y 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow y 2)) 1/3)) 4.080 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.084 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y) 4.085 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log y)))) into 0 4.086 * [backup-simplify]: Simplify (* (exp (* 1/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.086 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.088 * [backup-simplify]: Simplify (+ 0 0) into 0 4.091 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow y 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow y 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow y 1)))) 6) into 0 4.092 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 y)) (+ (* 0 0) (* 0 (log y))))) into 0 4.094 * [backup-simplify]: Simplify (* (exp (* 1/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 y)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.094 * [taylor]: Taking taylor expansion of 0 in y 4.094 * [backup-simplify]: Simplify 0 into 0 4.094 * [backup-simplify]: Simplify 0 into 0 4.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.098 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.099 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 4.100 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log y))))) into 0 4.101 * [backup-simplify]: Simplify (* (exp (* -2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 4.102 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow y -2/3))) into 0 4.102 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify 0 into 0 4.108 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.109 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y) 4.110 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log y))))) into 0 4.112 * [backup-simplify]: Simplify (* (exp (* 1/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow y 2)) 1/3)) (pow (* 1 x) 2)) (pow y 1/3)) into (+ (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 2)) 1/3))) (pow y 1/3)) 4.113 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) 4.113 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in (x y) around 0 4.113 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in y 4.113 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in y 4.113 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 4.113 * [taylor]: Taking taylor expansion of 1/3 in y 4.113 * [backup-simplify]: Simplify 1/3 into 1/3 4.113 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in y 4.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 4.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.113 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.113 * [taylor]: Taking taylor expansion of x in y 4.113 * [backup-simplify]: Simplify x into x 4.113 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.113 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.113 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.113 * [taylor]: Taking taylor expansion of y in y 4.113 * [backup-simplify]: Simplify 0 into 0 4.113 * [backup-simplify]: Simplify 1 into 1 4.114 * [backup-simplify]: Simplify (/ 1 1) into 1 4.115 * [backup-simplify]: Simplify (+ 0 1) into 1 4.115 * [backup-simplify]: Simplify (log 1) into 0 4.116 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) 0) into (- (log y)) 4.116 * [backup-simplify]: Simplify (* 1/3 (- (log y))) into (* -1/3 (log y)) 4.116 * [backup-simplify]: Simplify (exp (* -1/3 (log y))) into (pow y -1/3) 4.116 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 4.116 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 4.116 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 4.116 * [taylor]: Taking taylor expansion of 1/3 in x 4.116 * [backup-simplify]: Simplify 1/3 into 1/3 4.116 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 4.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 4.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.116 * [taylor]: Taking taylor expansion of x in x 4.116 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify 1 into 1 4.117 * [backup-simplify]: Simplify (* 1 1) into 1 4.117 * [backup-simplify]: Simplify (/ 1 1) into 1 4.117 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.117 * [taylor]: Taking taylor expansion of y in x 4.117 * [backup-simplify]: Simplify y into y 4.117 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.117 * [backup-simplify]: Simplify (+ 1 0) into 1 4.118 * [backup-simplify]: Simplify (log 1) into 0 4.118 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.118 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 4.119 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 4.119 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 4.119 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 4.119 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 4.119 * [taylor]: Taking taylor expansion of 1/3 in x 4.119 * [backup-simplify]: Simplify 1/3 into 1/3 4.119 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 4.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 4.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.119 * [taylor]: Taking taylor expansion of x in x 4.119 * [backup-simplify]: Simplify 0 into 0 4.119 * [backup-simplify]: Simplify 1 into 1 4.119 * [backup-simplify]: Simplify (* 1 1) into 1 4.120 * [backup-simplify]: Simplify (/ 1 1) into 1 4.120 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.120 * [taylor]: Taking taylor expansion of y in x 4.120 * [backup-simplify]: Simplify y into y 4.120 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.120 * [backup-simplify]: Simplify (+ 1 0) into 1 4.121 * [backup-simplify]: Simplify (log 1) into 0 4.121 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.121 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 4.121 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 4.121 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 4.121 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 4.121 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 4.122 * [taylor]: Taking taylor expansion of -2/3 in y 4.122 * [backup-simplify]: Simplify -2/3 into -2/3 4.122 * [taylor]: Taking taylor expansion of (log x) in y 4.122 * [taylor]: Taking taylor expansion of x in y 4.122 * [backup-simplify]: Simplify x into x 4.122 * [backup-simplify]: Simplify (log x) into (log x) 4.122 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 4.122 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 4.122 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 4.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.123 * [backup-simplify]: Simplify (+ 0 0) into 0 4.124 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.124 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.125 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 4.125 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 4.125 * [taylor]: Taking taylor expansion of 0 in y 4.125 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify 0 into 0 4.126 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 4.126 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 4.127 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 4.127 * [backup-simplify]: Simplify 0 into 0 4.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.129 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.131 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 y)) 1)) (pow 1 1)))) 2) into (/ 1 y) 4.131 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.132 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 y)) 4.133 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 y)) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) 4.133 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) in y 4.133 * [taylor]: Taking taylor expansion of 1/3 in y 4.133 * [backup-simplify]: Simplify 1/3 into 1/3 4.133 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y)) in y 4.133 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 4.133 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 4.133 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 4.133 * [taylor]: Taking taylor expansion of 1/3 in y 4.133 * [backup-simplify]: Simplify 1/3 into 1/3 4.133 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 4.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.133 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.133 * [taylor]: Taking taylor expansion of x in y 4.133 * [backup-simplify]: Simplify x into x 4.133 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.134 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.134 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 4.134 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 4.134 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 4.134 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.134 * [taylor]: Taking taylor expansion of y in y 4.134 * [backup-simplify]: Simplify 0 into 0 4.134 * [backup-simplify]: Simplify 1 into 1 4.135 * [backup-simplify]: Simplify (/ 1 1) into 1 4.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.136 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 4.137 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 4.137 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 4.138 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.139 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 4.139 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 4.140 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 (pow x 2)) 1/3))) into 0 4.140 * [backup-simplify]: Simplify 0 into 0 4.140 * [backup-simplify]: Simplify 0 into 0 4.142 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 4.143 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 4.144 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.144 * [backup-simplify]: Simplify 0 into 0 4.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.147 * [backup-simplify]: Simplify (+ 0 0) into 0 4.150 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 y)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.151 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.152 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 4.154 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 y)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.154 * [taylor]: Taking taylor expansion of 0 in y 4.154 * [backup-simplify]: Simplify 0 into 0 4.154 * [backup-simplify]: Simplify 0 into 0 4.154 * [backup-simplify]: Simplify (pow (/ 1 x) -2/3) into (pow (/ 1 x) -2/3) 4.155 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) 4.155 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in (x y) around 0 4.155 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in y 4.155 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in y 4.155 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in y 4.155 * [taylor]: Taking taylor expansion of 1/3 in y 4.155 * [backup-simplify]: Simplify 1/3 into 1/3 4.155 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in y 4.155 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 4.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.155 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.155 * [taylor]: Taking taylor expansion of x in y 4.155 * [backup-simplify]: Simplify x into x 4.155 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.155 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.155 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.155 * [taylor]: Taking taylor expansion of y in y 4.155 * [backup-simplify]: Simplify 0 into 0 4.155 * [backup-simplify]: Simplify 1 into 1 4.156 * [backup-simplify]: Simplify (/ 1 1) into 1 4.156 * [backup-simplify]: Simplify (- 1) into -1 4.156 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.157 * [backup-simplify]: Simplify (log -1) into (log -1) 4.158 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) 4.158 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log y))) into (* 1/3 (- (log -1) (log y))) 4.159 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log y)))) into (exp (* 1/3 (- (log -1) (log y)))) 4.159 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 4.159 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 4.159 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 4.159 * [taylor]: Taking taylor expansion of 1/3 in x 4.159 * [backup-simplify]: Simplify 1/3 into 1/3 4.159 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 4.159 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 4.159 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.159 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.159 * [taylor]: Taking taylor expansion of x in x 4.159 * [backup-simplify]: Simplify 0 into 0 4.159 * [backup-simplify]: Simplify 1 into 1 4.159 * [backup-simplify]: Simplify (* 1 1) into 1 4.160 * [backup-simplify]: Simplify (/ 1 1) into 1 4.160 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.160 * [taylor]: Taking taylor expansion of y in x 4.160 * [backup-simplify]: Simplify y into y 4.160 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.160 * [backup-simplify]: Simplify (+ 1 0) into 1 4.161 * [backup-simplify]: Simplify (log 1) into 0 4.161 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.161 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 4.162 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 4.162 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 4.162 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 4.162 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 4.162 * [taylor]: Taking taylor expansion of 1/3 in x 4.162 * [backup-simplify]: Simplify 1/3 into 1/3 4.162 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 4.162 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 4.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.162 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.162 * [taylor]: Taking taylor expansion of x in x 4.162 * [backup-simplify]: Simplify 0 into 0 4.162 * [backup-simplify]: Simplify 1 into 1 4.162 * [backup-simplify]: Simplify (* 1 1) into 1 4.163 * [backup-simplify]: Simplify (/ 1 1) into 1 4.163 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.163 * [taylor]: Taking taylor expansion of y in x 4.163 * [backup-simplify]: Simplify y into y 4.163 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.163 * [backup-simplify]: Simplify (+ 1 0) into 1 4.164 * [backup-simplify]: Simplify (log 1) into 0 4.164 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.164 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 4.164 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 4.164 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 4.164 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 4.164 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 4.164 * [taylor]: Taking taylor expansion of -2/3 in y 4.165 * [backup-simplify]: Simplify -2/3 into -2/3 4.165 * [taylor]: Taking taylor expansion of (log x) in y 4.165 * [taylor]: Taking taylor expansion of x in y 4.165 * [backup-simplify]: Simplify x into x 4.165 * [backup-simplify]: Simplify (log x) into (log x) 4.165 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 4.165 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 4.165 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 4.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.167 * [backup-simplify]: Simplify (+ 0 0) into 0 4.168 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.169 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.169 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 4.170 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 4.170 * [taylor]: Taking taylor expansion of 0 in y 4.170 * [backup-simplify]: Simplify 0 into 0 4.170 * [backup-simplify]: Simplify 0 into 0 4.171 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 4.171 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 4.172 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 4.172 * [backup-simplify]: Simplify 0 into 0 4.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.174 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 4.174 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 4.176 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (/ 1 y))) 1)) (pow 1 1)))) 2) into (/ -1 y) 4.177 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.177 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (- (* 1/3 (/ 1 y))) 4.179 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 y))) 1) 1)))) into (* -1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) 4.179 * [taylor]: Taking taylor expansion of (* -1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) in y 4.179 * [taylor]: Taking taylor expansion of -1/3 in y 4.179 * [backup-simplify]: Simplify -1/3 into -1/3 4.179 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y)) in y 4.179 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 4.179 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 4.179 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 4.179 * [taylor]: Taking taylor expansion of 1/3 in y 4.179 * [backup-simplify]: Simplify 1/3 into 1/3 4.179 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 4.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.179 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.179 * [taylor]: Taking taylor expansion of x in y 4.179 * [backup-simplify]: Simplify x into x 4.179 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.180 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.180 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 4.180 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 4.180 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 4.180 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.180 * [taylor]: Taking taylor expansion of y in y 4.180 * [backup-simplify]: Simplify 0 into 0 4.180 * [backup-simplify]: Simplify 1 into 1 4.181 * [backup-simplify]: Simplify (/ 1 1) into 1 4.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.182 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 4.184 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 4.184 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 4.185 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.186 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 4.187 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 4.187 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (pow (/ 1 (pow x 2)) 1/3))) into 0 4.187 * [backup-simplify]: Simplify 0 into 0 4.187 * [backup-simplify]: Simplify 0 into 0 4.189 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 4.190 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 4.192 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.192 * [backup-simplify]: Simplify 0 into 0 4.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.194 * [backup-simplify]: Simplify (- 0) into 0 4.195 * [backup-simplify]: Simplify (+ 0 0) into 0 4.198 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (/ 1 y))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.199 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.200 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ -1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 4.203 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* 1/3 (/ 1 y))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.203 * [taylor]: Taking taylor expansion of 0 in y 4.203 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -2/3) into (pow (/ -1 x) -2/3) 4.203 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 4.203 * [backup-simplify]: Simplify (cbrt (+ (* x x) y)) into (pow (+ (pow x 2) y) 1/3) 4.203 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in (x y) around 0 4.203 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in y 4.203 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in y 4.204 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in y 4.204 * [taylor]: Taking taylor expansion of 1/3 in y 4.204 * [backup-simplify]: Simplify 1/3 into 1/3 4.204 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in y 4.204 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 4.204 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.204 * [taylor]: Taking taylor expansion of x in y 4.204 * [backup-simplify]: Simplify x into x 4.204 * [taylor]: Taking taylor expansion of y in y 4.204 * [backup-simplify]: Simplify 0 into 0 4.204 * [backup-simplify]: Simplify 1 into 1 4.204 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.204 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.204 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 4.204 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 4.205 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 4.205 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in x 4.205 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in x 4.205 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in x 4.205 * [taylor]: Taking taylor expansion of 1/3 in x 4.205 * [backup-simplify]: Simplify 1/3 into 1/3 4.205 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 4.205 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 4.205 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.205 * [taylor]: Taking taylor expansion of x in x 4.205 * [backup-simplify]: Simplify 0 into 0 4.205 * [backup-simplify]: Simplify 1 into 1 4.205 * [taylor]: Taking taylor expansion of y in x 4.205 * [backup-simplify]: Simplify y into y 4.205 * [backup-simplify]: Simplify (+ 0 y) into y 4.205 * [backup-simplify]: Simplify (log y) into (log y) 4.205 * [backup-simplify]: Simplify (* 1/3 (log y)) into (* 1/3 (log y)) 4.205 * [backup-simplify]: Simplify (exp (* 1/3 (log y))) into (pow y 1/3) 4.205 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/3) in x 4.205 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) y)))) in x 4.205 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) y))) in x 4.205 * [taylor]: Taking taylor expansion of 1/3 in x 4.206 * [backup-simplify]: Simplify 1/3 into 1/3 4.206 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 4.206 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 4.206 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.206 * [taylor]: Taking taylor expansion of x in x 4.206 * [backup-simplify]: Simplify 0 into 0 4.206 * [backup-simplify]: Simplify 1 into 1 4.206 * [taylor]: Taking taylor expansion of y in x 4.206 * [backup-simplify]: Simplify y into y 4.206 * [backup-simplify]: Simplify (+ 0 y) into y 4.206 * [backup-simplify]: Simplify (log y) into (log y) 4.206 * [backup-simplify]: Simplify (* 1/3 (log y)) into (* 1/3 (log y)) 4.206 * [backup-simplify]: Simplify (exp (* 1/3 (log y))) into (pow y 1/3) 4.206 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 4.206 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 4.206 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 4.206 * [taylor]: Taking taylor expansion of 1/3 in y 4.206 * [backup-simplify]: Simplify 1/3 into 1/3 4.206 * [taylor]: Taking taylor expansion of (log y) in y 4.206 * [taylor]: Taking taylor expansion of y in y 4.206 * [backup-simplify]: Simplify 0 into 0 4.206 * [backup-simplify]: Simplify 1 into 1 4.207 * [backup-simplify]: Simplify (log 1) into 0 4.208 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y) 4.208 * [backup-simplify]: Simplify (* 1/3 (log y)) into (* 1/3 (log y)) 4.208 * [backup-simplify]: Simplify (exp (* 1/3 (log y))) into (pow y 1/3) 4.208 * [backup-simplify]: Simplify (pow y 1/3) into (pow y 1/3) 4.208 * [backup-simplify]: Simplify (+ 0 0) into 0 4.209 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow y 1)))) 1) into 0 4.210 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log y))) into 0 4.211 * [backup-simplify]: Simplify (* (exp (* 1/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 4.211 * [taylor]: Taking taylor expansion of 0 in y 4.211 * [backup-simplify]: Simplify 0 into 0 4.211 * [backup-simplify]: Simplify 0 into 0 4.213 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.213 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y) 4.214 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log y))) into 0 4.215 * [backup-simplify]: Simplify (* (exp (* 1/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 4.215 * [backup-simplify]: Simplify 0 into 0 4.215 * [backup-simplify]: Simplify (* 1 1) into 1 4.216 * [backup-simplify]: Simplify (+ 1 0) into 1 4.218 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow y 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow y 1)))) 2) into (/ 1 y) 4.218 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 y)) (+ (* 0 0) (* 0 (log y)))) into (* 1/3 (/ 1 y)) 4.219 * [backup-simplify]: Simplify (* (exp (* 1/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 y)) 1) 1)))) into (* 1/3 (pow (/ 1 (pow y 2)) 1/3)) 4.220 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 2)) 1/3)) in y 4.220 * [taylor]: Taking taylor expansion of 1/3 in y 4.220 * [backup-simplify]: Simplify 1/3 into 1/3 4.220 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 4.220 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 4.220 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 4.220 * [taylor]: Taking taylor expansion of 1/3 in y 4.220 * [backup-simplify]: Simplify 1/3 into 1/3 4.220 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 4.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.220 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.220 * [taylor]: Taking taylor expansion of y in y 4.220 * [backup-simplify]: Simplify 0 into 0 4.220 * [backup-simplify]: Simplify 1 into 1 4.221 * [backup-simplify]: Simplify (* 1 1) into 1 4.221 * [backup-simplify]: Simplify (/ 1 1) into 1 4.222 * [backup-simplify]: Simplify (log 1) into 0 4.222 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 4.222 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 4.222 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 4.223 * [backup-simplify]: Simplify (* 1/3 (pow y -2/3)) into (* 1/3 (pow (/ 1 (pow y 2)) 1/3)) 4.223 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow y 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow y 2)) 1/3)) 4.223 * [backup-simplify]: Simplify 0 into 0 4.226 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.227 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y) 4.228 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log y)))) into 0 4.233 * [backup-simplify]: Simplify (* (exp (* 1/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.233 * [backup-simplify]: Simplify 0 into 0 4.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.235 * [backup-simplify]: Simplify (+ 0 0) into 0 4.239 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow y 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow y 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow y 1)))) 6) into 0 4.241 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 y)) (+ (* 0 0) (* 0 (log y))))) into 0 4.243 * [backup-simplify]: Simplify (* (exp (* 1/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 y)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.243 * [taylor]: Taking taylor expansion of 0 in y 4.243 * [backup-simplify]: Simplify 0 into 0 4.243 * [backup-simplify]: Simplify 0 into 0 4.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.246 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.247 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 4.247 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log y))))) into 0 4.248 * [backup-simplify]: Simplify (* (exp (* -2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 4.249 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow y -2/3))) into 0 4.249 * [backup-simplify]: Simplify 0 into 0 4.249 * [backup-simplify]: Simplify 0 into 0 4.254 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.255 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y) 4.257 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log y))))) into 0 4.259 * [backup-simplify]: Simplify (* (exp (* 1/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.259 * [backup-simplify]: Simplify 0 into 0 4.259 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow y 2)) 1/3)) (pow (* 1 x) 2)) (pow y 1/3)) into (+ (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 2)) 1/3))) (pow y 1/3)) 4.260 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) 4.260 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in (x y) around 0 4.260 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in y 4.260 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in y 4.260 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 4.260 * [taylor]: Taking taylor expansion of 1/3 in y 4.260 * [backup-simplify]: Simplify 1/3 into 1/3 4.260 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in y 4.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 4.260 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.260 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.260 * [taylor]: Taking taylor expansion of x in y 4.260 * [backup-simplify]: Simplify x into x 4.260 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.260 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.260 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.260 * [taylor]: Taking taylor expansion of y in y 4.261 * [backup-simplify]: Simplify 0 into 0 4.261 * [backup-simplify]: Simplify 1 into 1 4.261 * [backup-simplify]: Simplify (/ 1 1) into 1 4.261 * [backup-simplify]: Simplify (+ 0 1) into 1 4.262 * [backup-simplify]: Simplify (log 1) into 0 4.262 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) 0) into (- (log y)) 4.262 * [backup-simplify]: Simplify (* 1/3 (- (log y))) into (* -1/3 (log y)) 4.263 * [backup-simplify]: Simplify (exp (* -1/3 (log y))) into (pow y -1/3) 4.263 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 4.263 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 4.263 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 4.263 * [taylor]: Taking taylor expansion of 1/3 in x 4.263 * [backup-simplify]: Simplify 1/3 into 1/3 4.263 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 4.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 4.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.263 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.263 * [taylor]: Taking taylor expansion of x in x 4.263 * [backup-simplify]: Simplify 0 into 0 4.263 * [backup-simplify]: Simplify 1 into 1 4.264 * [backup-simplify]: Simplify (* 1 1) into 1 4.264 * [backup-simplify]: Simplify (/ 1 1) into 1 4.264 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.264 * [taylor]: Taking taylor expansion of y in x 4.264 * [backup-simplify]: Simplify y into y 4.264 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.265 * [backup-simplify]: Simplify (+ 1 0) into 1 4.266 * [backup-simplify]: Simplify (log 1) into 0 4.266 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.266 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 4.267 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 4.267 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 4.267 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 4.267 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 4.267 * [taylor]: Taking taylor expansion of 1/3 in x 4.267 * [backup-simplify]: Simplify 1/3 into 1/3 4.267 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 4.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 4.267 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.267 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.267 * [taylor]: Taking taylor expansion of x in x 4.267 * [backup-simplify]: Simplify 0 into 0 4.267 * [backup-simplify]: Simplify 1 into 1 4.267 * [backup-simplify]: Simplify (* 1 1) into 1 4.268 * [backup-simplify]: Simplify (/ 1 1) into 1 4.268 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.268 * [taylor]: Taking taylor expansion of y in x 4.268 * [backup-simplify]: Simplify y into y 4.268 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.268 * [backup-simplify]: Simplify (+ 1 0) into 1 4.269 * [backup-simplify]: Simplify (log 1) into 0 4.269 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.270 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 4.270 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 4.270 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 4.270 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 4.270 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 4.270 * [taylor]: Taking taylor expansion of -2/3 in y 4.270 * [backup-simplify]: Simplify -2/3 into -2/3 4.270 * [taylor]: Taking taylor expansion of (log x) in y 4.270 * [taylor]: Taking taylor expansion of x in y 4.270 * [backup-simplify]: Simplify x into x 4.270 * [backup-simplify]: Simplify (log x) into (log x) 4.270 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 4.270 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 4.271 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 4.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.273 * [backup-simplify]: Simplify (+ 0 0) into 0 4.274 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.275 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.276 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 4.276 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 4.277 * [taylor]: Taking taylor expansion of 0 in y 4.277 * [backup-simplify]: Simplify 0 into 0 4.277 * [backup-simplify]: Simplify 0 into 0 4.278 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 4.278 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 4.279 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 4.279 * [backup-simplify]: Simplify 0 into 0 4.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.281 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.283 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 y)) 1)) (pow 1 1)))) 2) into (/ 1 y) 4.283 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.284 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 y)) 4.285 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 y)) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) 4.285 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) in y 4.285 * [taylor]: Taking taylor expansion of 1/3 in y 4.285 * [backup-simplify]: Simplify 1/3 into 1/3 4.285 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y)) in y 4.285 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 4.285 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 4.285 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 4.285 * [taylor]: Taking taylor expansion of 1/3 in y 4.285 * [backup-simplify]: Simplify 1/3 into 1/3 4.285 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 4.285 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.285 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.285 * [taylor]: Taking taylor expansion of x in y 4.286 * [backup-simplify]: Simplify x into x 4.286 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.286 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.286 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 4.286 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 4.286 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 4.286 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.286 * [taylor]: Taking taylor expansion of y in y 4.286 * [backup-simplify]: Simplify 0 into 0 4.286 * [backup-simplify]: Simplify 1 into 1 4.287 * [backup-simplify]: Simplify (/ 1 1) into 1 4.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.288 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 4.289 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 4.290 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 4.291 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.291 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 4.291 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 4.292 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow (/ 1 (pow x 2)) 1/3))) into 0 4.292 * [backup-simplify]: Simplify 0 into 0 4.292 * [backup-simplify]: Simplify 0 into 0 4.294 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 4.295 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 4.297 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.297 * [backup-simplify]: Simplify 0 into 0 4.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.300 * [backup-simplify]: Simplify (+ 0 0) into 0 4.304 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 y)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.304 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.305 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 4.308 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 y)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.308 * [taylor]: Taking taylor expansion of 0 in y 4.308 * [backup-simplify]: Simplify 0 into 0 4.308 * [backup-simplify]: Simplify 0 into 0 4.308 * [backup-simplify]: Simplify (pow (/ 1 x) -2/3) into (pow (/ 1 x) -2/3) 4.309 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) 4.309 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in (x y) around 0 4.309 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in y 4.309 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in y 4.309 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in y 4.309 * [taylor]: Taking taylor expansion of 1/3 in y 4.309 * [backup-simplify]: Simplify 1/3 into 1/3 4.309 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in y 4.309 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 4.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.309 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.309 * [taylor]: Taking taylor expansion of x in y 4.309 * [backup-simplify]: Simplify x into x 4.309 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.309 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.309 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.309 * [taylor]: Taking taylor expansion of y in y 4.309 * [backup-simplify]: Simplify 0 into 0 4.309 * [backup-simplify]: Simplify 1 into 1 4.310 * [backup-simplify]: Simplify (/ 1 1) into 1 4.310 * [backup-simplify]: Simplify (- 1) into -1 4.311 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.311 * [backup-simplify]: Simplify (log -1) into (log -1) 4.312 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) 4.312 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log y))) into (* 1/3 (- (log -1) (log y))) 4.313 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log y)))) into (exp (* 1/3 (- (log -1) (log y)))) 4.313 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 4.313 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 4.313 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 4.313 * [taylor]: Taking taylor expansion of 1/3 in x 4.313 * [backup-simplify]: Simplify 1/3 into 1/3 4.313 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 4.313 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 4.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.313 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.313 * [taylor]: Taking taylor expansion of x in x 4.313 * [backup-simplify]: Simplify 0 into 0 4.313 * [backup-simplify]: Simplify 1 into 1 4.314 * [backup-simplify]: Simplify (* 1 1) into 1 4.314 * [backup-simplify]: Simplify (/ 1 1) into 1 4.314 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.314 * [taylor]: Taking taylor expansion of y in x 4.314 * [backup-simplify]: Simplify y into y 4.314 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.315 * [backup-simplify]: Simplify (+ 1 0) into 1 4.315 * [backup-simplify]: Simplify (log 1) into 0 4.315 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.315 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 4.316 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 4.316 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/3) in x 4.316 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 4.316 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 4.316 * [taylor]: Taking taylor expansion of 1/3 in x 4.316 * [backup-simplify]: Simplify 1/3 into 1/3 4.316 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 4.316 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 4.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.316 * [taylor]: Taking taylor expansion of x in x 4.316 * [backup-simplify]: Simplify 0 into 0 4.316 * [backup-simplify]: Simplify 1 into 1 4.316 * [backup-simplify]: Simplify (* 1 1) into 1 4.317 * [backup-simplify]: Simplify (/ 1 1) into 1 4.317 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.317 * [taylor]: Taking taylor expansion of y in x 4.317 * [backup-simplify]: Simplify y into y 4.317 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.317 * [backup-simplify]: Simplify (+ 1 0) into 1 4.318 * [backup-simplify]: Simplify (log 1) into 0 4.318 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.318 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 4.319 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 4.319 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 4.319 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 4.319 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 4.319 * [taylor]: Taking taylor expansion of -2/3 in y 4.319 * [backup-simplify]: Simplify -2/3 into -2/3 4.319 * [taylor]: Taking taylor expansion of (log x) in y 4.319 * [taylor]: Taking taylor expansion of x in y 4.319 * [backup-simplify]: Simplify x into x 4.319 * [backup-simplify]: Simplify (log x) into (log x) 4.319 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 4.319 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 4.319 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 4.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.321 * [backup-simplify]: Simplify (+ 0 0) into 0 4.323 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.324 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.325 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 4.326 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 4.326 * [taylor]: Taking taylor expansion of 0 in y 4.326 * [backup-simplify]: Simplify 0 into 0 4.326 * [backup-simplify]: Simplify 0 into 0 4.327 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 4.328 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 4.329 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 4.329 * [backup-simplify]: Simplify 0 into 0 4.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.331 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 4.331 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 4.333 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (/ 1 y))) 1)) (pow 1 1)))) 2) into (/ -1 y) 4.333 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.334 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (- (* 1/3 (/ 1 y))) 4.335 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 y))) 1) 1)))) into (* -1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) 4.335 * [taylor]: Taking taylor expansion of (* -1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y))) in y 4.335 * [taylor]: Taking taylor expansion of -1/3 in y 4.335 * [backup-simplify]: Simplify -1/3 into -1/3 4.335 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 y)) in y 4.335 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 4.335 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 4.335 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 4.335 * [taylor]: Taking taylor expansion of 1/3 in y 4.335 * [backup-simplify]: Simplify 1/3 into 1/3 4.335 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 4.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.335 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.335 * [taylor]: Taking taylor expansion of x in y 4.335 * [backup-simplify]: Simplify x into x 4.335 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.336 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.336 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 4.336 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 4.336 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 4.336 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.336 * [taylor]: Taking taylor expansion of y in y 4.336 * [backup-simplify]: Simplify 0 into 0 4.336 * [backup-simplify]: Simplify 1 into 1 4.337 * [backup-simplify]: Simplify (/ 1 1) into 1 4.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.337 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 4.339 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 4.339 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 4.340 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.341 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 4.341 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 4.342 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (pow (/ 1 (pow x 2)) 1/3))) into 0 4.342 * [backup-simplify]: Simplify 0 into 0 4.342 * [backup-simplify]: Simplify 0 into 0 4.344 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 4.345 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 4.346 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.346 * [backup-simplify]: Simplify 0 into 0 4.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.349 * [backup-simplify]: Simplify (- 0) into 0 4.349 * [backup-simplify]: Simplify (+ 0 0) into 0 4.353 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (/ 1 y))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.353 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.354 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ -1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 4.357 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* 1/3 (/ 1 y))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.357 * [taylor]: Taking taylor expansion of 0 in y 4.357 * [backup-simplify]: Simplify 0 into 0 4.357 * [backup-simplify]: Simplify 0 into 0 4.357 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -2/3) into (pow (/ -1 x) -2/3) 4.357 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.357 * [backup-simplify]: Simplify (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)))) into (sqrt (+ (pow x 2) y)) 4.358 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 4.358 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 4.358 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 4.358 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.358 * [taylor]: Taking taylor expansion of x in y 4.358 * [backup-simplify]: Simplify x into x 4.358 * [taylor]: Taking taylor expansion of y in y 4.358 * [backup-simplify]: Simplify 0 into 0 4.358 * [backup-simplify]: Simplify 1 into 1 4.358 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.358 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.358 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 4.358 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.359 * [backup-simplify]: Simplify (+ 0 1) into 1 4.359 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 4.359 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 4.359 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 4.359 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.359 * [taylor]: Taking taylor expansion of x in x 4.359 * [backup-simplify]: Simplify 0 into 0 4.359 * [backup-simplify]: Simplify 1 into 1 4.359 * [taylor]: Taking taylor expansion of y in x 4.359 * [backup-simplify]: Simplify y into y 4.359 * [backup-simplify]: Simplify (+ 0 y) into y 4.359 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 4.360 * [backup-simplify]: Simplify (+ 0 0) into 0 4.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 4.360 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 4.360 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 4.360 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.360 * [taylor]: Taking taylor expansion of x in x 4.360 * [backup-simplify]: Simplify 0 into 0 4.360 * [backup-simplify]: Simplify 1 into 1 4.360 * [taylor]: Taking taylor expansion of y in x 4.360 * [backup-simplify]: Simplify y into y 4.360 * [backup-simplify]: Simplify (+ 0 y) into y 4.360 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 4.361 * [backup-simplify]: Simplify (+ 0 0) into 0 4.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 4.361 * [taylor]: Taking taylor expansion of (sqrt y) in y 4.361 * [taylor]: Taking taylor expansion of y in y 4.361 * [backup-simplify]: Simplify 0 into 0 4.361 * [backup-simplify]: Simplify 1 into 1 4.361 * [backup-simplify]: Simplify (sqrt 0) into 0 4.363 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.363 * [backup-simplify]: Simplify 0 into 0 4.363 * [taylor]: Taking taylor expansion of 0 in y 4.363 * [backup-simplify]: Simplify 0 into 0 4.363 * [backup-simplify]: Simplify 0 into 0 4.363 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.363 * [backup-simplify]: Simplify (* 1 1) into 1 4.364 * [backup-simplify]: Simplify (+ 1 0) into 1 4.365 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 4.365 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 4.365 * [taylor]: Taking taylor expansion of 1/2 in y 4.365 * [backup-simplify]: Simplify 1/2 into 1/2 4.365 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 4.365 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.365 * [taylor]: Taking taylor expansion of y in y 4.365 * [backup-simplify]: Simplify 0 into 0 4.365 * [backup-simplify]: Simplify 1 into 1 4.365 * [backup-simplify]: Simplify (/ 1 1) into 1 4.366 * [backup-simplify]: Simplify (sqrt 0) into 0 4.367 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.368 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 4.369 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.369 * [backup-simplify]: Simplify 0 into 0 4.372 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.372 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.373 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) 4.374 * [backup-simplify]: Simplify (sqrt (* (* (cbrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) (cbrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)))) (cbrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 4.374 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 4.374 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 4.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 4.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.374 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.374 * [taylor]: Taking taylor expansion of x in y 4.374 * [backup-simplify]: Simplify x into x 4.374 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.374 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.374 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.374 * [taylor]: Taking taylor expansion of y in y 4.374 * [backup-simplify]: Simplify 0 into 0 4.374 * [backup-simplify]: Simplify 1 into 1 4.375 * [backup-simplify]: Simplify (/ 1 1) into 1 4.375 * [backup-simplify]: Simplify (+ 0 1) into 1 4.375 * [backup-simplify]: Simplify (sqrt 0) into 0 4.377 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.377 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 4.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 4.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.377 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.377 * [taylor]: Taking taylor expansion of x in x 4.377 * [backup-simplify]: Simplify 0 into 0 4.377 * [backup-simplify]: Simplify 1 into 1 4.377 * [backup-simplify]: Simplify (* 1 1) into 1 4.378 * [backup-simplify]: Simplify (/ 1 1) into 1 4.378 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.378 * [taylor]: Taking taylor expansion of y in x 4.378 * [backup-simplify]: Simplify y into y 4.378 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.378 * [backup-simplify]: Simplify (+ 1 0) into 1 4.379 * [backup-simplify]: Simplify (sqrt 1) into 1 4.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.381 * [backup-simplify]: Simplify (+ 0 0) into 0 4.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.381 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 4.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 4.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.382 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.382 * [taylor]: Taking taylor expansion of x in x 4.382 * [backup-simplify]: Simplify 0 into 0 4.382 * [backup-simplify]: Simplify 1 into 1 4.382 * [backup-simplify]: Simplify (* 1 1) into 1 4.382 * [backup-simplify]: Simplify (/ 1 1) into 1 4.382 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.382 * [taylor]: Taking taylor expansion of y in x 4.383 * [backup-simplify]: Simplify y into y 4.383 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.383 * [backup-simplify]: Simplify (+ 1 0) into 1 4.383 * [backup-simplify]: Simplify (sqrt 1) into 1 4.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.385 * [backup-simplify]: Simplify (+ 0 0) into 0 4.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.386 * [taylor]: Taking taylor expansion of 1 in y 4.386 * [backup-simplify]: Simplify 1 into 1 4.386 * [taylor]: Taking taylor expansion of 0 in y 4.386 * [backup-simplify]: Simplify 0 into 0 4.386 * [backup-simplify]: Simplify 1 into 1 4.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.388 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.389 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 4.389 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 4.389 * [taylor]: Taking taylor expansion of 1/2 in y 4.389 * [backup-simplify]: Simplify 1/2 into 1/2 4.389 * [taylor]: Taking taylor expansion of y in y 4.389 * [backup-simplify]: Simplify 0 into 0 4.389 * [backup-simplify]: Simplify 1 into 1 4.391 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.391 * [backup-simplify]: Simplify 1/2 into 1/2 4.391 * [backup-simplify]: Simplify 0 into 0 4.391 * [backup-simplify]: Simplify 0 into 0 4.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.393 * [backup-simplify]: Simplify (+ 0 0) into 0 4.394 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 4.394 * [taylor]: Taking taylor expansion of 0 in y 4.394 * [backup-simplify]: Simplify 0 into 0 4.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.395 * [backup-simplify]: Simplify 0 into 0 4.395 * [backup-simplify]: Simplify 0 into 0 4.395 * [backup-simplify]: Simplify 0 into 0 4.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.404 * [backup-simplify]: Simplify (+ 0 0) into 0 4.405 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 4.405 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 4.405 * [taylor]: Taking taylor expansion of -1/8 in y 4.405 * [backup-simplify]: Simplify -1/8 into -1/8 4.405 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.405 * [taylor]: Taking taylor expansion of y in y 4.405 * [backup-simplify]: Simplify 0 into 0 4.405 * [backup-simplify]: Simplify 1 into 1 4.406 * [backup-simplify]: Simplify (* 1 1) into 1 4.406 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 4.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 4.408 * [backup-simplify]: Simplify 0 into 0 4.408 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 4.409 * [backup-simplify]: Simplify (sqrt (* (* (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))))) (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 4.409 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 4.409 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 4.409 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 4.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.409 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.410 * [taylor]: Taking taylor expansion of x in y 4.410 * [backup-simplify]: Simplify x into x 4.410 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.410 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.410 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.410 * [taylor]: Taking taylor expansion of y in y 4.410 * [backup-simplify]: Simplify 0 into 0 4.410 * [backup-simplify]: Simplify 1 into 1 4.410 * [backup-simplify]: Simplify (/ 1 1) into 1 4.411 * [backup-simplify]: Simplify (- 1) into -1 4.411 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.412 * [backup-simplify]: Simplify (sqrt 0) into 0 4.413 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.414 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 4.414 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 4.414 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.414 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.414 * [taylor]: Taking taylor expansion of x in x 4.414 * [backup-simplify]: Simplify 0 into 0 4.414 * [backup-simplify]: Simplify 1 into 1 4.414 * [backup-simplify]: Simplify (* 1 1) into 1 4.415 * [backup-simplify]: Simplify (/ 1 1) into 1 4.415 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.415 * [taylor]: Taking taylor expansion of y in x 4.415 * [backup-simplify]: Simplify y into y 4.415 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.415 * [backup-simplify]: Simplify (+ 1 0) into 1 4.416 * [backup-simplify]: Simplify (sqrt 1) into 1 4.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.418 * [backup-simplify]: Simplify (+ 0 0) into 0 4.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.419 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 4.419 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 4.419 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.419 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.419 * [taylor]: Taking taylor expansion of x in x 4.419 * [backup-simplify]: Simplify 0 into 0 4.419 * [backup-simplify]: Simplify 1 into 1 4.419 * [backup-simplify]: Simplify (* 1 1) into 1 4.420 * [backup-simplify]: Simplify (/ 1 1) into 1 4.420 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.420 * [taylor]: Taking taylor expansion of y in x 4.420 * [backup-simplify]: Simplify y into y 4.420 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.421 * [backup-simplify]: Simplify (+ 1 0) into 1 4.421 * [backup-simplify]: Simplify (sqrt 1) into 1 4.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.423 * [backup-simplify]: Simplify (+ 0 0) into 0 4.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.424 * [taylor]: Taking taylor expansion of 1 in y 4.424 * [backup-simplify]: Simplify 1 into 1 4.424 * [taylor]: Taking taylor expansion of 0 in y 4.424 * [backup-simplify]: Simplify 0 into 0 4.424 * [backup-simplify]: Simplify 1 into 1 4.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.426 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 4.426 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 4.428 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 4.428 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 4.428 * [taylor]: Taking taylor expansion of -1/2 in y 4.428 * [backup-simplify]: Simplify -1/2 into -1/2 4.428 * [taylor]: Taking taylor expansion of y in y 4.428 * [backup-simplify]: Simplify 0 into 0 4.428 * [backup-simplify]: Simplify 1 into 1 4.428 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.428 * [backup-simplify]: Simplify -1/2 into -1/2 4.428 * [backup-simplify]: Simplify 0 into 0 4.428 * [backup-simplify]: Simplify 0 into 0 4.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.431 * [backup-simplify]: Simplify (- 0) into 0 4.431 * [backup-simplify]: Simplify (+ 0 0) into 0 4.432 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 4.432 * [taylor]: Taking taylor expansion of 0 in y 4.432 * [backup-simplify]: Simplify 0 into 0 4.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 4.433 * [backup-simplify]: Simplify 0 into 0 4.433 * [backup-simplify]: Simplify 0 into 0 4.433 * [backup-simplify]: Simplify 0 into 0 4.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.436 * [backup-simplify]: Simplify (- 0) into 0 4.436 * [backup-simplify]: Simplify (+ 0 0) into 0 4.437 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 4.437 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 4.437 * [taylor]: Taking taylor expansion of -1/8 in y 4.437 * [backup-simplify]: Simplify -1/8 into -1/8 4.437 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.437 * [taylor]: Taking taylor expansion of y in y 4.438 * [backup-simplify]: Simplify 0 into 0 4.438 * [backup-simplify]: Simplify 1 into 1 4.438 * [backup-simplify]: Simplify (* 1 1) into 1 4.438 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 4.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 4.440 * [backup-simplify]: Simplify 0 into 0 4.440 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 4.440 * * * [progress]: simplifying candidates 4.445 * [simplify]: Simplifying: (log (cbrt (+ (* x x) y))) (exp (cbrt (+ (* x x) y))) (cbrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (cbrt (cbrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))) (cbrt 1) (cbrt (+ (* x x) y)) (cbrt (+ (pow (* x x) 3) (pow y 3))) (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (cbrt (- (* (* x x) (* x x)) (* y y))) (cbrt (- (* x x) y)) (* (cbrt (cbrt (+ (* x x) y))) (cbrt (cbrt (+ (* x x) y)))) (cbrt (cbrt (+ (* x x) y))) (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (log (cbrt (+ (* x x) y))) (exp (cbrt (+ (* x x) y))) (cbrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (cbrt (cbrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))) (cbrt 1) (cbrt (+ (* x x) y)) (cbrt (+ (pow (* x x) 3) (pow y 3))) (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (cbrt (- (* (* x x) (* x x)) (* y y))) (cbrt (- (* x x) y)) (* (cbrt (cbrt (+ (* x x) y))) (cbrt (cbrt (+ (* x x) y)))) (cbrt (cbrt (+ (* x x) y))) (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (log (cbrt (+ (* x x) y))) (exp (cbrt (+ (* x x) y))) (cbrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (cbrt (cbrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))) (cbrt 1) (cbrt (+ (* x x) y)) (cbrt (+ (pow (* x x) 3) (pow y 3))) (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (cbrt (- (* (* x x) (* x x)) (* y y))) (cbrt (- (* x x) y)) (* (cbrt (cbrt (+ (* x x) y))) (cbrt (cbrt (+ (* x x) y)))) (cbrt (cbrt (+ (* x x) y))) (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (log (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))) (exp (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))) (* (cbrt (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))) (cbrt (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)))))) (cbrt (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))) (* (* (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)))) (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))) (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow y 3))) (cbrt (+ (pow (* x x) 3) (pow y 3)))) (cbrt (+ (pow (* x x) 3) (pow y 3))))) (sqrt (* (* (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow y 3))) (cbrt (+ (pow (* x x) 3) (pow y 3)))) (cbrt (- (* (* x x) (* x x)) (* y y))))) (sqrt (* (* (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (cbrt (- (* x x) y)))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow y 3))) (cbrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (+ (pow (* x x) 3) (pow y 3))))) (sqrt (* (* (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (cbrt (- (* x x) y))) (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow y 3))) (cbrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (- (* (* x x) (* x x)) (* y y))))) (sqrt (* (* (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (cbrt (- (* x x) y))) (cbrt (- (* x x) y)))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* y y))) (cbrt (+ (pow (* x x) 3) (pow y 3)))) (cbrt (+ (pow (* x x) 3) (pow y 3))))) (sqrt (* (* (cbrt (- (* x x) y)) (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (cbrt (+ (* (* x x) (* x 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x) (* x x)) (* y y))) (cbrt (+ (* x x) y))) (cbrt (+ (pow (* x x) 3) (pow y 3))))) (sqrt (* (cbrt (- (* x x) y)) (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* y y))) (cbrt (+ (* x x) y))) (cbrt (- (* (* x x) (* x x)) (* y y))))) (sqrt (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (pow (* x x) 3) (pow y 3))))) (sqrt (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (- (* (* x x) (* x x)) (* y y))))) (sqrt (cbrt (- (* x x) y))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow y 3))) (cbrt (+ (pow (* x x) 3) (pow y 3)))) (cbrt (+ (* x x) y)))) (sqrt (* (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow y 3))) (cbrt (- (* (* x x) (* x x)) (* y y)))) (cbrt (+ (* x x) y)))) (sqrt (* (cbrt (+ (* (* x x) (* 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1/3 1/3) 1/3) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ 2 1) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ (* 2 1/3) 1/3) 2) (/ (+ (* 2 1) 1) 2) (/ 1/3 2) (/ 1 2) (/ 1 2) (/ 3 2) (/ (+ (+ 1 1) 1) 2) (/ (+ 2 1) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ (* 2 1) 1) 2) (/ 1 2) (sqrt (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))) (sqrt (sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))) (+ (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 2)) 1/3))) (pow y 1/3)) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 2)) 1/3))) (pow y 1/3)) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 2)) 1/3))) (pow y 1/3)) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) 4.452 * * [simplify]: iteration 0: 174 enodes 4.543 * * [simplify]: iteration 1: 306 enodes 4.684 * * [simplify]: iteration 2: 511 enodes 4.943 * * [simplify]: iteration 3: 1023 enodes 5.843 * * [simplify]: iteration 4: 2721 enodes 8.310 * * [simplify]: iteration complete: 5031 enodes 8.323 * * [simplify]: Extracting #0: cost 47 inf + 0 8.324 * * [simplify]: Extracting #1: cost 159 inf + 4 8.327 * * [simplify]: Extracting #2: cost 501 inf + 556 8.340 * * [simplify]: Extracting #3: cost 1103 inf + 13090 8.374 * * [simplify]: Extracting #4: cost 679 inf + 97960 8.431 * * [simplify]: Extracting #5: cost 311 inf + 196909 8.630 * * [simplify]: Extracting #6: cost 155 inf + 258093 8.775 * * [simplify]: Extracting #7: cost 35 inf + 285075 8.948 * * [simplify]: Extracting #8: cost 4 inf + 292794 9.038 * * [simplify]: Extracting #9: cost 0 inf + 293806 9.225 * [simplify]: Simplified to: (log (cbrt (+ y (* x x)))) (exp (cbrt (+ y (* x x)))) (cbrt (* (cbrt (+ y (* x x))) (cbrt (+ y (* x x))))) (cbrt (cbrt (+ y (* x x)))) (cbrt (sqrt (+ y (* x x)))) (cbrt (sqrt (+ y (* x x)))) 1 (cbrt (+ y (* x x))) (cbrt (+ (* (* (* x x) x) (* (* x x) x)) (* y (* y y)))) (cbrt (- (* y y) (* (* x x) (- y (* x x))))) (cbrt (* (+ (* x x) y) (- (* x x) y))) (cbrt (- (* x x) y)) (* (cbrt (cbrt (+ y (* x x)))) (cbrt (cbrt (+ y (* x x))))) (cbrt (cbrt (+ y (* x x)))) (+ y (* x x)) (sqrt (cbrt (+ y (* x x)))) (sqrt (cbrt (+ y (* x x)))) (log (cbrt (+ y (* x x)))) (exp (cbrt (+ y (* x x)))) (cbrt (* (cbrt (+ y (* x x))) (cbrt (+ y (* x x))))) (cbrt (cbrt (+ y (* x x)))) (cbrt (sqrt (+ y (* x x)))) (cbrt (sqrt (+ y (* x x)))) 1 (cbrt (+ y (* x x))) (cbrt (+ (* (* (* x x) x) (* (* x x) x)) (* y (* y y)))) (cbrt (- (* y y) (* (* x x) (- y (* x x))))) (cbrt (* (+ (* x x) y) (- (* x x) y))) (cbrt (- (* x x) y)) (* (cbrt (cbrt (+ y (* x x)))) (cbrt (cbrt (+ y (* x x))))) (cbrt (cbrt (+ y (* x x)))) (+ y (* x x)) (sqrt (cbrt (+ y (* x x)))) (sqrt (cbrt (+ y (* x x)))) (log (cbrt (+ y (* x x)))) (exp (cbrt (+ y (* x x)))) (cbrt (* (cbrt (+ y (* x x))) (cbrt (+ y (* x x))))) (cbrt (cbrt (+ y (* x x)))) (cbrt (sqrt (+ y (* x x)))) (cbrt (sqrt (+ y (* x x)))) 1 (cbrt (+ y (* x x))) (cbrt (+ (* (* (* x x) x) (* (* x x) x)) (* y (* y y)))) (cbrt (- (* y y) (* (* x x) (- y (* x x))))) (cbrt (* (+ (* x x) y) (- (* x x) y))) (cbrt (- (* x x) y)) (* (cbrt (cbrt (+ y (* x x)))) (cbrt (cbrt (+ y (* x x))))) (cbrt (cbrt (+ y (* x x)))) (+ y (* x x)) (sqrt (cbrt (+ y (* x x)))) (sqrt (cbrt (+ y (* x x)))) (log (sqrt (+ y (* x x)))) (exp (sqrt (+ y (* x x)))) (* (cbrt (sqrt (+ y (* x x)))) (cbrt (sqrt (+ y (* x x))))) (cbrt (sqrt (+ y (* x x)))) (* (sqrt (+ y (* x x))) (+ y (* x x))) (fabs (cbrt (+ y (* x x)))) (sqrt (cbrt (+ y (* x x)))) (sqrt (+ (* (* (* x x) x) (* (* x x) x)) (* y (* y y)))) (sqrt (- (* y y) (* (* x x) (- y (* x x))))) (sqrt (* (* (cbrt (* (+ (* x x) y) (- (* x x) y))) (cbrt (+ (* (* (* x x) x) (* (* x x) x)) (* y (* y y))))) (cbrt (+ (* (* (* x x) x) (* (* x x) x)) (* y (* y y)))))) (sqrt (* (* (cbrt (- (* y y) (* (* x x) (- y (* x x))))) (cbrt (- (* x x) y))) (cbrt (- (* y y) (* (* x x) (- y (* x x))))))) (sqrt (* (* (cbrt (* (+ (* x x) y) (- (* x x) y))) (cbrt (+ (* (* (* x x) x) (* (* x x) x)) (* y (* y y))))) (cbrt (+ (* (* (* x x) x) (* (* x x) x)) (* y (* y y)))))) (sqrt (* (* (cbrt (- (* y y) (* (* x x) (- y (* x x))))) (cbrt (- (* x x) y))) (cbrt (- (* y y) (* (* x x) (- y (* x x))))))) (sqrt (* (cbrt (+ (* (* (* x x) x) (* (* x x) x)) (* y (* y y)))) (* (cbrt (* (+ (* x x) y) (- (* x x) y))) (cbrt (* (+ (* x x) y) (- (* x x) y)))))) (sqrt (* (cbrt (- (* x x) y)) (* (cbrt (- (* y y) (* (* x x) (- y (* x x))))) (cbrt (- (* x x) y))))) (sqrt (* (* (cbrt (* (+ (* x x) y) (- (* x x) y))) (cbrt (+ (* (* (* x x) x) (* (* x x) x)) (* y (* y y))))) (cbrt (+ (* (* (* x x) x) (* (* x x) x)) (* y (* y y)))))) (sqrt (* (* (cbrt (- (* y y) (* (* x x) (- y (* x x))))) (cbrt (- (* x x) y))) (cbrt (- (* y y) (* (* x x) (- y (* x x))))))) (sqrt (* (cbrt (+ (* (* (* x x) x) (* (* x x) x)) (* y (* y y)))) (* (cbrt (* (+ (* x x) y) (- (* x x) y))) (cbrt (* (+ (* x x) y) (- (* x x) y)))))) (sqrt (* (cbrt (- (* x x) y)) (* (cbrt (- (* y y) (* (* x x) (- y (* x x))))) (cbrt (- (* x x) y))))) (sqrt (* (cbrt (+ (* (* (* x x) x) (* (* x x) x)) (* y (* y y)))) (* (cbrt (* (+ (* x x) y) (- (* x x) y))) (cbrt (* (+ (* x x) y) (- (* x x) y)))))) (sqrt (* (cbrt (- (* x x) y)) (* (cbrt (- (* y y) (* (* x x) (- y (* x x))))) (cbrt (- (* x x) y))))) (sqrt (* (+ (* x x) y) (- (* x x) y))) (sqrt (- (* x x) y)) (sqrt (* (* (cbrt (+ (* (* (* x x) x) (* (* x x) x)) (* y (* y y)))) (cbrt (+ (* (* (* x x) x) (* (* x x) x)) (* y (* y y))))) (cbrt (+ y (* x x))))) (fabs (cbrt (- (* y y) (* (* x x) (- y (* x x)))))) (sqrt (* (cbrt (* (+ (* x x) y) (- (* x x) y))) (* (cbrt (+ (* (* (* x x) x) (* (* x x) x)) (* y (* y y)))) (cbrt (+ y (* x x)))))) (sqrt (* (cbrt (- (* y y) (* (* x x) (- y (* x x))))) (cbrt (- (* x x) y)))) (sqrt (* (cbrt (* (+ (* x x) y) (- (* x x) y))) (* (cbrt (+ (* (* (* x x) x) (* (* x x) x)) (* y (* y y)))) (cbrt (+ y (* x x)))))) (sqrt (* (cbrt (- (* y y) (* (* x x) (- y (* x x))))) (cbrt (- (* x x) y)))) (sqrt (* (* (cbrt (+ y (* x x))) (cbrt (* (+ (* x x) y) (- (* x x) y)))) (cbrt (* (+ (* x x) y) (- (* x x) y))))) (fabs (cbrt (- (* x x) y))) (sqrt (* (* (cbrt (+ (* (* (* x x) x) (* (* x x) x)) (* y (* y y)))) (cbrt (+ (* (* (* x x) x) (* (* x x) x)) (* y (* y y))))) (cbrt (+ y (* x x))))) (fabs (cbrt (- (* y y) (* (* x x) (- y (* x x)))))) (sqrt (* (cbrt (* (+ (* x x) y) (- (* x x) y))) (* (cbrt (+ (* (* (* x x) x) (* (* x x) x)) (* y (* y y)))) (cbrt (+ y (* x x)))))) (sqrt (* (cbrt (- (* y y) (* (* x x) (- y (* x x))))) (cbrt (- (* x x) y)))) (sqrt (* (cbrt (* (+ (* x x) y) (- (* x x) y))) (* (cbrt (+ (* (* (* x x) x) (* (* x x) x)) (* y (* y y)))) (cbrt (+ y (* x x)))))) (sqrt (* (cbrt (- (* y y) (* (* x x) (- y (* x x))))) (cbrt (- (* x x) y)))) (sqrt (* (* (cbrt (+ y (* x x))) (cbrt (* (+ (* x x) y) (- (* x x) y)))) (cbrt (* (+ (* x x) y) (- (* x x) y))))) (fabs (cbrt (- (* x x) y))) (sqrt (* (* (cbrt (+ (* (* (* x x) x) (* (* x x) x)) (* y (* y y)))) (cbrt (+ y (* x x)))) (cbrt (+ y (* x x))))) (sqrt (cbrt (- (* y y) (* (* x x) (- y (* x x)))))) (sqrt (* (* (cbrt (+ y (* x x))) (cbrt (+ y (* x x)))) (cbrt (* (+ (* x x) y) (- (* x x) y))))) (sqrt (cbrt (- (* x x) y))) (sqrt (* (* (cbrt (+ (* (* (* x x) x) (* (* x x) x)) (* y (* y y)))) (cbrt (+ (* (* (* x x) x) (* (* x x) x)) (* y (* y y))))) (cbrt (+ y (* x x))))) (fabs (cbrt (- (* y y) (* (* x x) (- y (* x x)))))) (sqrt (* (cbrt (* (+ (* x x) y) (- (* x x) y))) (* (cbrt (+ (* (* (* x x) x) (* (* x x) x)) (* y (* y y)))) (cbrt (+ y (* x x)))))) (sqrt (* (cbrt (- (* y y) (* (* x x) (- y (* x x))))) (cbrt (- (* x x) y)))) (sqrt (* (cbrt (* (+ (* x x) y) (- (* x x) y))) (* (cbrt (+ (* (* (* x x) x) (* (* x x) x)) (* y (* y y)))) (cbrt (+ y (* x x)))))) (sqrt (* (cbrt (- (* y y) (* (* x x) (- y (* x x))))) (cbrt (- (* x x) y)))) (sqrt (* (* (cbrt (+ y (* x x))) (cbrt (* (+ (* x x) y) (- (* x x) y)))) (cbrt (* (+ (* x x) y) (- (* x x) y))))) (fabs (cbrt (- (* x x) y))) (sqrt (* (* (cbrt (+ (* (* (* x x) x) (* (* x x) x)) (* y (* y y)))) (cbrt (+ y (* x x)))) (cbrt (+ y (* x x))))) (sqrt (cbrt (- (* y y) (* (* x x) (- y (* x x)))))) (sqrt (* (* (cbrt (+ y (* x x))) (cbrt (+ y (* x x)))) (cbrt (* (+ (* x x) y) (- (* x x) y))))) (sqrt (cbrt (- (* x x) y))) (sqrt (* (* (cbrt (+ (* (* (* x x) x) (* (* x x) x)) (* y (* y y)))) (cbrt (+ y (* x x)))) (cbrt (+ y (* x x))))) (sqrt (cbrt (- (* y y) (* (* x x) (- y (* x x)))))) (sqrt (* (* (cbrt (+ y (* x x))) (cbrt (+ y (* x x)))) (cbrt (* (+ (* x x) y) (- (* x x) y))))) (sqrt (cbrt (- (* x x) y))) 1/2 3/2 3/2 3/2 1/2 3/2 1/6 1/2 1/2 3/2 3/2 3/2 3/2 3/2 1/2 (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (+ (* (* (* x x) 1/3) (cbrt (/ 1 (* y y)))) (cbrt y)) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (* (* (* x x) 1/3) (cbrt (/ 1 (* y y)))) (cbrt y)) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (* (* (* x x) 1/3) (cbrt (/ 1 (* y y)))) (cbrt y)) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (* +nan.0 (- (- (* y y) y) (* x x))) (+ (/ y (/ x 1/2)) x) (- (/ y (/ x -1/2)) x) 9.314 * * * [progress]: adding candidates to table 10.824 * * [progress]: iteration 3 / 4 10.824 * * * [progress]: picking best candidate 10.844 * * * * [pick]: Picked # 10.844 * * * [progress]: localizing error 10.873 * * * [progress]: generating rewritten candidates 10.874 * * * [progress]: generating series expansions 10.874 * * * [progress]: simplifying candidates 10.875 * [simplify]: Simplifying: 10.875 * * [simplify]: iteration 0: 0 enodes 10.875 * * [simplify]: iteration complete: 0 enodes 10.875 * * [simplify]: Extracting #0: cost 0 inf + 0 10.875 * [simplify]: Simplified to: 10.875 * * * [progress]: adding candidates to table 10.879 * * [progress]: iteration 4 / 4 10.879 * * * [progress]: picking best candidate 10.896 * * * * [pick]: Picked # 10.898 * * * [progress]: localizing error 10.914 * * * [progress]: generating rewritten candidates 10.914 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 10.950 * * * [progress]: generating series expansions 10.950 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 10.962 * [backup-simplify]: Simplify (* 1/2 (/ y x)) into (* 1/2 (/ y x)) 10.962 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 10.962 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 10.963 * [taylor]: Taking taylor expansion of 1/2 in x 10.963 * [backup-simplify]: Simplify 1/2 into 1/2 10.963 * [taylor]: Taking taylor expansion of (/ y x) in x 10.963 * [taylor]: Taking taylor expansion of y in x 10.963 * [backup-simplify]: Simplify y into y 10.963 * [taylor]: Taking taylor expansion of x in x 10.963 * [backup-simplify]: Simplify 0 into 0 10.963 * [backup-simplify]: Simplify 1 into 1 10.963 * [backup-simplify]: Simplify (/ y 1) into y 10.963 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 10.963 * [taylor]: Taking taylor expansion of 1/2 in y 10.963 * [backup-simplify]: Simplify 1/2 into 1/2 10.963 * [taylor]: Taking taylor expansion of (/ y x) in y 10.963 * [taylor]: Taking taylor expansion of y in y 10.963 * [backup-simplify]: Simplify 0 into 0 10.963 * [backup-simplify]: Simplify 1 into 1 10.963 * [taylor]: Taking taylor expansion of x in y 10.963 * [backup-simplify]: Simplify x into x 10.963 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 10.963 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 10.963 * [taylor]: Taking taylor expansion of 1/2 in y 10.963 * [backup-simplify]: Simplify 1/2 into 1/2 10.963 * [taylor]: Taking taylor expansion of (/ y x) in y 10.963 * [taylor]: Taking taylor expansion of y in y 10.963 * [backup-simplify]: Simplify 0 into 0 10.963 * [backup-simplify]: Simplify 1 into 1 10.963 * [taylor]: Taking taylor expansion of x in y 10.963 * [backup-simplify]: Simplify x into x 10.963 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 10.968 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 10.968 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 10.968 * [taylor]: Taking taylor expansion of 1/2 in x 10.968 * [backup-simplify]: Simplify 1/2 into 1/2 10.968 * [taylor]: Taking taylor expansion of x in x 10.968 * [backup-simplify]: Simplify 0 into 0 10.968 * [backup-simplify]: Simplify 1 into 1 10.968 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.968 * [backup-simplify]: Simplify 1/2 into 1/2 10.969 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 10.969 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 10.969 * [taylor]: Taking taylor expansion of 0 in x 10.969 * [backup-simplify]: Simplify 0 into 0 10.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.970 * [backup-simplify]: Simplify 0 into 0 10.970 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 10.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 10.971 * [taylor]: Taking taylor expansion of 0 in x 10.971 * [backup-simplify]: Simplify 0 into 0 10.971 * [backup-simplify]: Simplify 0 into 0 10.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.972 * [backup-simplify]: Simplify 0 into 0 10.972 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 10.974 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 10.974 * [taylor]: Taking taylor expansion of 0 in x 10.974 * [backup-simplify]: Simplify 0 into 0 10.974 * [backup-simplify]: Simplify 0 into 0 10.974 * [backup-simplify]: Simplify 0 into 0 10.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.975 * [backup-simplify]: Simplify 0 into 0 10.975 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) y)) into (* 1/2 (/ y x)) 10.976 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 y) (/ 1 x))) into (* 1/2 (/ x y)) 10.976 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 10.976 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 10.976 * [taylor]: Taking taylor expansion of 1/2 in x 10.976 * [backup-simplify]: Simplify 1/2 into 1/2 10.976 * [taylor]: Taking taylor expansion of (/ x y) in x 10.976 * [taylor]: Taking taylor expansion of x in x 10.976 * [backup-simplify]: Simplify 0 into 0 10.976 * [backup-simplify]: Simplify 1 into 1 10.976 * [taylor]: Taking taylor expansion of y in x 10.976 * [backup-simplify]: Simplify y into y 10.976 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 10.976 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 10.976 * [taylor]: Taking taylor expansion of 1/2 in y 10.976 * [backup-simplify]: Simplify 1/2 into 1/2 10.976 * [taylor]: Taking taylor expansion of (/ x y) in y 10.976 * [taylor]: Taking taylor expansion of x in y 10.976 * [backup-simplify]: Simplify x into x 10.976 * [taylor]: Taking taylor expansion of y in y 10.976 * [backup-simplify]: Simplify 0 into 0 10.976 * [backup-simplify]: Simplify 1 into 1 10.976 * [backup-simplify]: Simplify (/ x 1) into x 10.976 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 10.976 * [taylor]: Taking taylor expansion of 1/2 in y 10.976 * [backup-simplify]: Simplify 1/2 into 1/2 10.976 * [taylor]: Taking taylor expansion of (/ x y) in y 10.976 * [taylor]: Taking taylor expansion of x in y 10.976 * [backup-simplify]: Simplify x into x 10.976 * [taylor]: Taking taylor expansion of y in y 10.976 * [backup-simplify]: Simplify 0 into 0 10.977 * [backup-simplify]: Simplify 1 into 1 10.977 * [backup-simplify]: Simplify (/ x 1) into x 10.977 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 10.977 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 10.977 * [taylor]: Taking taylor expansion of 1/2 in x 10.977 * [backup-simplify]: Simplify 1/2 into 1/2 10.977 * [taylor]: Taking taylor expansion of x in x 10.977 * [backup-simplify]: Simplify 0 into 0 10.977 * [backup-simplify]: Simplify 1 into 1 10.978 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.978 * [backup-simplify]: Simplify 1/2 into 1/2 10.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 10.980 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 10.980 * [taylor]: Taking taylor expansion of 0 in x 10.980 * [backup-simplify]: Simplify 0 into 0 10.980 * [backup-simplify]: Simplify 0 into 0 10.981 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 10.981 * [backup-simplify]: Simplify 0 into 0 10.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.984 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 10.984 * [taylor]: Taking taylor expansion of 0 in x 10.984 * [backup-simplify]: Simplify 0 into 0 10.984 * [backup-simplify]: Simplify 0 into 0 10.984 * [backup-simplify]: Simplify 0 into 0 10.985 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.985 * [backup-simplify]: Simplify 0 into 0 10.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.988 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 10.989 * [taylor]: Taking taylor expansion of 0 in x 10.989 * [backup-simplify]: Simplify 0 into 0 10.989 * [backup-simplify]: Simplify 0 into 0 10.989 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) into (* 1/2 (/ y x)) 10.989 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x)))) into (* 1/2 (/ x y)) 10.989 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 10.989 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 10.989 * [taylor]: Taking taylor expansion of 1/2 in x 10.989 * [backup-simplify]: Simplify 1/2 into 1/2 10.989 * [taylor]: Taking taylor expansion of (/ x y) in x 10.989 * [taylor]: Taking taylor expansion of x in x 10.989 * [backup-simplify]: Simplify 0 into 0 10.989 * [backup-simplify]: Simplify 1 into 1 10.989 * [taylor]: Taking taylor expansion of y in x 10.989 * [backup-simplify]: Simplify y into y 10.989 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 10.989 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 10.989 * [taylor]: Taking taylor expansion of 1/2 in y 10.990 * [backup-simplify]: Simplify 1/2 into 1/2 10.990 * [taylor]: Taking taylor expansion of (/ x y) in y 10.990 * [taylor]: Taking taylor expansion of x in y 10.990 * [backup-simplify]: Simplify x into x 10.990 * [taylor]: Taking taylor expansion of y in y 10.990 * [backup-simplify]: Simplify 0 into 0 10.990 * [backup-simplify]: Simplify 1 into 1 10.990 * [backup-simplify]: Simplify (/ x 1) into x 10.990 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 10.990 * [taylor]: Taking taylor expansion of 1/2 in y 10.990 * [backup-simplify]: Simplify 1/2 into 1/2 10.990 * [taylor]: Taking taylor expansion of (/ x y) in y 10.990 * [taylor]: Taking taylor expansion of x in y 10.990 * [backup-simplify]: Simplify x into x 10.991 * [taylor]: Taking taylor expansion of y in y 10.991 * [backup-simplify]: Simplify 0 into 0 10.991 * [backup-simplify]: Simplify 1 into 1 10.991 * [backup-simplify]: Simplify (/ x 1) into x 10.992 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 10.992 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 10.992 * [taylor]: Taking taylor expansion of 1/2 in x 10.992 * [backup-simplify]: Simplify 1/2 into 1/2 10.992 * [taylor]: Taking taylor expansion of x in x 10.992 * [backup-simplify]: Simplify 0 into 0 10.992 * [backup-simplify]: Simplify 1 into 1 10.993 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.993 * [backup-simplify]: Simplify 1/2 into 1/2 10.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 10.994 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 10.995 * [taylor]: Taking taylor expansion of 0 in x 10.995 * [backup-simplify]: Simplify 0 into 0 10.995 * [backup-simplify]: Simplify 0 into 0 11.126 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 11.143 * [backup-simplify]: Simplify 0 into 0 11.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.162 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 11.162 * [taylor]: Taking taylor expansion of 0 in x 11.165 * [backup-simplify]: Simplify 0 into 0 11.165 * [backup-simplify]: Simplify 0 into 0 11.165 * [backup-simplify]: Simplify 0 into 0 11.166 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 11.166 * [backup-simplify]: Simplify 0 into 0 11.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 11.169 * [taylor]: Taking taylor expansion of 0 in x 11.169 * [backup-simplify]: Simplify 0 into 0 11.169 * [backup-simplify]: Simplify 0 into 0 11.170 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) into (* 1/2 (/ y x)) 11.173 * * * [progress]: simplifying candidates 11.188 * [simplify]: Simplifying: (* 1/2 (/ y x)) (+ (log 1/2) (- (log y) (log x))) (+ (log 1/2) (log (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x))) (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) 1)) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* 1/2 (/ (sqrt y) 1)) (* 1/2 (/ 1 (* (cbrt x) (cbrt x)))) (* 1/2 (/ 1 (sqrt x))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 11.190 * * [simplify]: iteration 0: 68 enodes 11.297 * * [simplify]: iteration 1: 172 enodes 11.405 * * [simplify]: iteration 2: 508 enodes 12.792 * * [simplify]: iteration 3: 1414 enodes 19.740 * * [simplify]: iteration complete: 5000 enodes 19.740 * * [simplify]: Extracting #0: cost 23 inf + 0 19.741 * * [simplify]: Extracting #1: cost 597 inf + 1 19.751 * * [simplify]: Extracting #2: cost 1318 inf + 5862 19.789 * * [simplify]: Extracting #3: cost 703 inf + 96459 19.866 * * [simplify]: Extracting #4: cost 92 inf + 197402 19.953 * * [simplify]: Extracting #5: cost 4 inf + 216439 20.045 * * [simplify]: Extracting #6: cost 0 inf + 217500 20.165 * [simplify]: Simplified to: (* 1/2 (/ y x)) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (sqrt (exp (/ y x))) (* (* 1/8 (/ y x)) (* (/ y x) (/ y x))) (* (* 1/8 (/ y x)) (* (/ y x) (/ y x))) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* (* 1/8 (/ y x)) (* (/ y x) (/ y x))) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt (/ y x)) (sqrt 1/2)) (* (sqrt (/ y x)) (sqrt 1/2)) (* (/ (sqrt 1/2) (sqrt x)) (sqrt y)) (* (/ (sqrt 1/2) (sqrt x)) (sqrt y)) (* (cbrt (/ y x)) (* (cbrt (/ y x)) 1/2)) (* (sqrt (/ y x)) 1/2) (* 1/2 (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x)))) (* (* (/ (cbrt y) (sqrt x)) (cbrt y)) 1/2) (/ (* (cbrt y) (cbrt y)) 2) (/ (* (sqrt y) 1/2) (* (cbrt x) (cbrt x))) (* (sqrt y) (/ 1/2 (sqrt x))) (* (sqrt y) 1/2) (/ 1/2 (* (cbrt x) (cbrt x))) (/ 1/2 (sqrt x)) 1/2 1/2 (* y 1/2) (/ (* (cbrt 1/2) y) x) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* y 1/2) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 20.170 * * * [progress]: adding candidates to table 20.351 * [progress]: [Phase 3 of 3] Extracting. 20.352 * * [regime]: Finding splitpoints for: (# # # # #) 20.354 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 20.354 * * * * [regimes]: Trying to branch on (* x x) from (# # # # #) 20.444 * * * * [regimes]: Trying to branch on (* x x) from (# #) 20.496 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # # # #) 20.587 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# #) 20.644 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # # # #) 20.740 * * * * [regimes]: Trying to branch on y from (# # # # #) 20.963 * * * * [regimes]: Trying to branch on x from (# # # # #) 21.072 * * * [regime]: Found split indices: #