32.946 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying: (sqrt (+ (* x x) (* y y))) 0.024 * * [simplify]: iteration 0: 6 enodes 0.025 * * [simplify]: iteration 1: 7 enodes 0.027 * * [simplify]: iteration complete: 7 enodes 0.027 * * [simplify]: Extracting #0: cost 1 inf + 0 0.027 * * [simplify]: Extracting #1: cost 2 inf + 0 0.027 * * [simplify]: Extracting #2: cost 4 inf + 0 0.027 * * [simplify]: Extracting #3: cost 6 inf + 0 0.027 * * [simplify]: Extracting #4: cost 3 inf + 43 0.027 * * [simplify]: Extracting #5: cost 0 inf + 368 0.028 * [simplify]: Simplified to: (sqrt (+ (* x x) (* y y))) 0.029 * * [progress]: iteration 1 / 4 0.029 * * * [progress]: picking best candidate 0.036 * * * * [pick]: Picked # 0.036 * * * [progress]: localizing error 0.055 * * * [progress]: generating rewritten candidates 0.055 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.075 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.089 * * * [progress]: generating series expansions 0.089 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.089 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2))) 0.089 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0 0.089 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y 0.089 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.090 * [taylor]: Taking taylor expansion of x in y 0.090 * [backup-simplify]: Simplify x into x 0.090 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.090 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 0.090 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.090 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.091 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 0.091 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [backup-simplify]: Simplify y into y 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.092 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.092 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.092 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.092 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 0.092 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.092 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.093 * [taylor]: Taking taylor expansion of y in x 0.093 * [backup-simplify]: Simplify y into y 0.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.093 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.093 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.093 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.094 * [taylor]: Taking taylor expansion of y in y 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 1 into 1 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.095 * [backup-simplify]: Simplify (* 1 1) into 1 0.095 * [backup-simplify]: Simplify (+ 0 1) into 1 0.096 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.096 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.096 * [taylor]: Taking taylor expansion of 1/2 in y 0.096 * [backup-simplify]: Simplify 1/2 into 1/2 0.096 * [taylor]: Taking taylor expansion of y in y 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 0.100 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 0.102 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 0.102 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 0.102 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.102 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (* 1 1) into 1 0.103 * [backup-simplify]: Simplify (/ 1 1) into 1 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.103 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.103 * [taylor]: Taking taylor expansion of x in y 0.103 * [backup-simplify]: Simplify x into x 0.103 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.103 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.104 * [backup-simplify]: Simplify (+ 1 0) into 1 0.104 * [backup-simplify]: Simplify (sqrt 1) into 1 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.107 * [backup-simplify]: Simplify y into y 0.107 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.107 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (* 1 1) into 1 0.108 * [backup-simplify]: Simplify (/ 1 1) into 1 0.109 * [backup-simplify]: Simplify (+ 0 1) into 1 0.109 * [backup-simplify]: Simplify (sqrt 1) into 1 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.112 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [backup-simplify]: Simplify y into y 0.112 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.112 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (* 1 1) into 1 0.113 * [backup-simplify]: Simplify (/ 1 1) into 1 0.113 * [backup-simplify]: Simplify (+ 0 1) into 1 0.114 * [backup-simplify]: Simplify (sqrt 1) into 1 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.116 * [taylor]: Taking taylor expansion of 1 in y 0.116 * [backup-simplify]: Simplify 1 into 1 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.121 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.121 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.121 * [taylor]: Taking taylor expansion of 1/2 in y 0.121 * [backup-simplify]: Simplify 1/2 into 1/2 0.121 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.121 * [taylor]: Taking taylor expansion of y in y 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (* 1 1) into 1 0.122 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.127 * [taylor]: Taking taylor expansion of 0 in y 0.127 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 0.130 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 0.130 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 0.130 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.130 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (* 1 1) into 1 0.130 * [backup-simplify]: Simplify (/ 1 1) into 1 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.131 * [taylor]: Taking taylor expansion of x in y 0.131 * [backup-simplify]: Simplify x into x 0.131 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.131 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.131 * [backup-simplify]: Simplify (+ 1 0) into 1 0.132 * [backup-simplify]: Simplify (sqrt 1) into 1 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.134 * [backup-simplify]: Simplify y into y 0.134 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.135 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (* 1 1) into 1 0.136 * [backup-simplify]: Simplify (/ 1 1) into 1 0.136 * [backup-simplify]: Simplify (+ 0 1) into 1 0.136 * [backup-simplify]: Simplify (sqrt 1) into 1 0.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (+ 0 0) into 0 0.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.139 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.139 * [taylor]: Taking taylor expansion of y in x 0.139 * [backup-simplify]: Simplify y into y 0.139 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.140 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (* 1 1) into 1 0.141 * [backup-simplify]: Simplify (/ 1 1) into 1 0.141 * [backup-simplify]: Simplify (+ 0 1) into 1 0.141 * [backup-simplify]: Simplify (sqrt 1) into 1 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.143 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.144 * [taylor]: Taking taylor expansion of 1 in y 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [taylor]: Taking taylor expansion of 0 in y 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.148 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.148 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.148 * [taylor]: Taking taylor expansion of 1/2 in y 0.148 * [backup-simplify]: Simplify 1/2 into 1/2 0.148 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.148 * [taylor]: Taking taylor expansion of y in y 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (* 1 1) into 1 0.149 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.154 * [taylor]: Taking taylor expansion of 0 in y 0.154 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 0.157 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.157 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 0.157 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 0.157 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 0.157 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.157 * [taylor]: Taking taylor expansion of y in y 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.157 * [taylor]: Taking taylor expansion of x in y 0.157 * [backup-simplify]: Simplify x into x 0.157 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.157 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.157 * [taylor]: Taking taylor expansion of y in x 0.157 * [backup-simplify]: Simplify y into y 0.157 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.158 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.158 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.158 * [taylor]: Taking taylor expansion of y in x 0.158 * [backup-simplify]: Simplify y into y 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 0.158 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.158 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.158 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [taylor]: Taking taylor expansion of 0 in y 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.160 * [backup-simplify]: Simplify (* 1 1) into 1 0.161 * [backup-simplify]: Simplify (+ 0 1) into 1 0.161 * [taylor]: Taking taylor expansion of 1 in y 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (* 1 1) into 1 0.161 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [taylor]: Taking taylor expansion of 0 in y 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [taylor]: Taking taylor expansion of 0 in y 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 0.168 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.168 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.169 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.169 * [taylor]: Taking taylor expansion of y in y 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (* 1 1) into 1 0.170 * [backup-simplify]: Simplify (/ 1 1) into 1 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.170 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.170 * [taylor]: Taking taylor expansion of x in y 0.170 * [backup-simplify]: Simplify x into x 0.170 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.170 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.170 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.170 * [taylor]: Taking taylor expansion of y in x 0.170 * [backup-simplify]: Simplify y into y 0.170 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.170 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.170 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (* 1 1) into 1 0.171 * [backup-simplify]: Simplify (/ 1 1) into 1 0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.171 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.171 * [taylor]: Taking taylor expansion of y in x 0.171 * [backup-simplify]: Simplify y into y 0.171 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.172 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.172 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (* 1 1) into 1 0.173 * [backup-simplify]: Simplify (/ 1 1) into 1 0.173 * [backup-simplify]: Simplify (+ 0 1) into 1 0.173 * [taylor]: Taking taylor expansion of 1 in y 0.173 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (+ 0 0) 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.178 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (* 1 1) into 1 0.178 * [backup-simplify]: Simplify (/ 1 1) into 1 0.178 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (+ 0 0) into 0 0.181 * [taylor]: Taking taylor expansion of 0 in y 0.181 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.185 * [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 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.187 * [taylor]: Taking taylor expansion of 0 in y 0.187 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 0.190 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.190 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.190 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.190 * [taylor]: Taking taylor expansion of y in y 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (* 1 1) into 1 0.191 * [backup-simplify]: Simplify (/ 1 1) into 1 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.191 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.191 * [taylor]: Taking taylor expansion of x in y 0.191 * [backup-simplify]: Simplify x into x 0.191 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.191 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.191 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.191 * [taylor]: Taking taylor expansion of y in x 0.191 * [backup-simplify]: Simplify y into y 0.191 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.191 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.191 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (* 1 1) into 1 0.192 * [backup-simplify]: Simplify (/ 1 1) into 1 0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.192 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.192 * [taylor]: Taking taylor expansion of y in x 0.192 * [backup-simplify]: Simplify y into y 0.193 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.193 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 0.193 * [backup-simplify]: Simplify (* 1 1) into 1 0.194 * [backup-simplify]: Simplify (/ 1 1) into 1 0.194 * [backup-simplify]: Simplify (+ 0 1) into 1 0.194 * [taylor]: Taking taylor expansion of 1 in y 0.194 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [taylor]: Taking taylor expansion of 0 in y 0.196 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.198 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.198 * [taylor]: Taking taylor expansion of y in y 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (* 1 1) into 1 0.199 * [backup-simplify]: Simplify (/ 1 1) into 1 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [taylor]: Taking taylor expansion of 0 in y 0.202 * [backup-simplify]: Simplify 0 into 0 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 into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (+ 0 0) into 0 0.207 * [taylor]: Taking taylor expansion of 0 in y 0.207 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 0.210 * * * [progress]: simplifying candidates 0.211 * [simplify]: Simplifying: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) y x (* -1 x) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) 0.212 * * [simplify]: iteration 0: 48 enodes 0.229 * * [simplify]: iteration 1: 142 enodes 0.312 * * [simplify]: iteration 2: 770 enodes 0.665 * * [simplify]: iteration complete: 5000 enodes 0.665 * * [simplify]: Extracting #0: cost 28 inf + 0 0.666 * * [simplify]: Extracting #1: cost 262 inf + 4 0.673 * * [simplify]: Extracting #2: cost 1739 inf + 4350 0.693 * * [simplify]: Extracting #3: cost 1667 inf + 70823 0.765 * * [simplify]: Extracting #4: cost 347 inf + 269973 0.879 * * [simplify]: Extracting #5: cost 43 inf + 330604 0.993 * * [simplify]: Extracting #6: cost 0 inf + 342675 1.108 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y y))) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* (* y (* y y)) (* y (* y y))))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x)))) (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (sqrt (* (+ x y) (- x y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (* (* (* x x) (* x x)) (* x x)) (* (* y (* y y)) (* y (* y y)))) (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x))) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (* (+ x y) (- x y)) y x (- x) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 1.110 * * * [progress]: adding candidates to table 1.249 * * [progress]: iteration 2 / 4 1.249 * * * [progress]: picking best candidate 1.264 * * * * [pick]: Picked # 1.264 * * * [progress]: localizing error 1.298 * * * [progress]: generating rewritten candidates 1.298 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.302 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 1.308 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.315 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.400 * * * [progress]: generating series expansions 1.400 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.401 * [backup-simplify]: Simplify (cbrt (+ (* x x) (* y y))) into (pow (+ (pow y 2) (pow x 2)) 1/3) 1.401 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in (x y) around 0 1.401 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in y 1.401 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in y 1.401 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in y 1.401 * [taylor]: Taking taylor expansion of 1/3 in y 1.401 * [backup-simplify]: Simplify 1/3 into 1/3 1.401 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in y 1.401 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 1.401 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.401 * [taylor]: Taking taylor expansion of y in y 1.401 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify 1 into 1 1.401 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.401 * [taylor]: Taking taylor expansion of x in y 1.401 * [backup-simplify]: Simplify x into x 1.401 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.402 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 1.402 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 1.402 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 1.402 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 1.402 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in x 1.402 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in x 1.402 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in x 1.402 * [taylor]: Taking taylor expansion of 1/3 in x 1.402 * [backup-simplify]: Simplify 1/3 into 1/3 1.402 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in x 1.402 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.402 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.402 * [taylor]: Taking taylor expansion of y in x 1.402 * [backup-simplify]: Simplify y into y 1.402 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.402 * [taylor]: Taking taylor expansion of x in x 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify 1 into 1 1.402 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.402 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.402 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 1.402 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 1.402 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 1.403 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in x 1.403 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in x 1.403 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in x 1.403 * [taylor]: Taking taylor expansion of 1/3 in x 1.403 * [backup-simplify]: Simplify 1/3 into 1/3 1.403 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in x 1.403 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.403 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.403 * [taylor]: Taking taylor expansion of y in x 1.403 * [backup-simplify]: Simplify y into y 1.403 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.403 * [taylor]: Taking taylor expansion of x in x 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify 1 into 1 1.403 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.403 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.403 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 1.403 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 1.403 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 1.403 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.403 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.403 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.403 * [taylor]: Taking taylor expansion of 1/3 in y 1.403 * [backup-simplify]: Simplify 1/3 into 1/3 1.403 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.403 * [taylor]: Taking taylor expansion of y in y 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify 1 into 1 1.404 * [backup-simplify]: Simplify (* 1 1) into 1 1.404 * [backup-simplify]: Simplify (log 1) into 0 1.405 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.405 * [backup-simplify]: Simplify (* 1/3 (* 2 (log y))) into (* 2/3 (log y)) 1.405 * [backup-simplify]: Simplify (exp (* 2/3 (log y))) into (pow y 2/3) 1.405 * [backup-simplify]: Simplify (pow y 2/3) into (pow y 2/3) 1.405 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.405 * [backup-simplify]: Simplify (+ 0 0) into 0 1.406 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0 1.406 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow y 2)))) into 0 1.407 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.407 * [taylor]: Taking taylor expansion of 0 in y 1.407 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.408 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.408 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.409 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log y)))) into 0 1.409 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 1.409 * [backup-simplify]: Simplify 0 into 0 1.409 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.410 * [backup-simplify]: Simplify (* 1 1) into 1 1.410 * [backup-simplify]: Simplify (+ 0 1) into 1 1.411 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow y 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow y 2) 1)))) 2) into (/ 1 (pow y 2)) 1.412 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/3 (/ 1 (pow y 2))) 1.412 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.412 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 1.412 * [taylor]: Taking taylor expansion of 1/3 in y 1.412 * [backup-simplify]: Simplify 1/3 into 1/3 1.412 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 1.412 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 1.412 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 1.412 * [taylor]: Taking taylor expansion of 1/3 in y 1.412 * [backup-simplify]: Simplify 1/3 into 1/3 1.412 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 1.412 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.412 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.412 * [taylor]: Taking taylor expansion of y in y 1.412 * [backup-simplify]: Simplify 0 into 0 1.412 * [backup-simplify]: Simplify 1 into 1 1.413 * [backup-simplify]: Simplify (* 1 1) into 1 1.413 * [backup-simplify]: Simplify (* 1 1) into 1 1.413 * [backup-simplify]: Simplify (/ 1 1) into 1 1.413 * [backup-simplify]: Simplify (log 1) into 0 1.414 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 1.414 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y)) 1.414 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3) 1.414 * [backup-simplify]: Simplify (* 1/3 (pow y -4/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.414 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.414 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.416 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.417 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.417 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0 1.418 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.418 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.419 * [backup-simplify]: Simplify (+ 0 0) into 0 1.421 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow y 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow y 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow y 2) 1)))) 6) into 0 1.422 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0 1.423 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.423 * [taylor]: Taking taylor expansion of 0 in y 1.423 * [backup-simplify]: Simplify 0 into 0 1.423 * [backup-simplify]: Simplify 0 into 0 1.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.425 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.426 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 1.426 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log y))))) into 0 1.426 * [backup-simplify]: Simplify (* (exp (* -4/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 1.427 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow y -4/3))) into 0 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.432 * [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 1.433 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.434 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0 1.436 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.436 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) (pow (* 1 x) 2)) (pow y 2/3)) into (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) 1.437 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) 1.437 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in (x y) around 0 1.437 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in y 1.437 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 1.437 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 1.437 * [taylor]: Taking taylor expansion of 1/3 in y 1.437 * [backup-simplify]: Simplify 1/3 into 1/3 1.437 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.437 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.437 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.437 * [taylor]: Taking taylor expansion of y in y 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify 1 into 1 1.438 * [backup-simplify]: Simplify (* 1 1) into 1 1.438 * [backup-simplify]: Simplify (/ 1 1) into 1 1.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.438 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.438 * [taylor]: Taking taylor expansion of x in y 1.438 * [backup-simplify]: Simplify x into x 1.438 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.438 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.439 * [backup-simplify]: Simplify (+ 1 0) into 1 1.439 * [backup-simplify]: Simplify (log 1) into 0 1.439 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.440 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 1.440 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 1.440 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.440 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.440 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.440 * [taylor]: Taking taylor expansion of 1/3 in x 1.440 * [backup-simplify]: Simplify 1/3 into 1/3 1.440 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.440 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.440 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.440 * [taylor]: Taking taylor expansion of y in x 1.440 * [backup-simplify]: Simplify y into y 1.440 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.440 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.440 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.440 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.440 * [taylor]: Taking taylor expansion of x in x 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify 1 into 1 1.441 * [backup-simplify]: Simplify (* 1 1) into 1 1.441 * [backup-simplify]: Simplify (/ 1 1) into 1 1.442 * [backup-simplify]: Simplify (+ 0 1) into 1 1.442 * [backup-simplify]: Simplify (log 1) into 0 1.442 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.442 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.443 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.443 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.443 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.443 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.443 * [taylor]: Taking taylor expansion of 1/3 in x 1.443 * [backup-simplify]: Simplify 1/3 into 1/3 1.443 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.443 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.443 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.443 * [taylor]: Taking taylor expansion of y in x 1.443 * [backup-simplify]: Simplify y into y 1.443 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.443 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.443 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.443 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.443 * [taylor]: Taking taylor expansion of x in x 1.443 * [backup-simplify]: Simplify 0 into 0 1.443 * [backup-simplify]: Simplify 1 into 1 1.444 * [backup-simplify]: Simplify (* 1 1) into 1 1.444 * [backup-simplify]: Simplify (/ 1 1) into 1 1.444 * [backup-simplify]: Simplify (+ 0 1) into 1 1.444 * [backup-simplify]: Simplify (log 1) into 0 1.445 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.445 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.445 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.445 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.445 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.445 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.445 * [taylor]: Taking taylor expansion of -2/3 in y 1.445 * [backup-simplify]: Simplify -2/3 into -2/3 1.445 * [taylor]: Taking taylor expansion of (log x) in y 1.445 * [taylor]: Taking taylor expansion of x in y 1.445 * [backup-simplify]: Simplify x into x 1.445 * [backup-simplify]: Simplify (log x) into (log x) 1.445 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 1.445 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.445 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 1.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.446 * [backup-simplify]: Simplify (+ 0 0) into 0 1.447 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.447 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.448 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 1.448 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.448 * [taylor]: Taking taylor expansion of 0 in y 1.448 * [backup-simplify]: Simplify 0 into 0 1.448 * [backup-simplify]: Simplify 0 into 0 1.449 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 1.449 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 1.450 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.451 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.452 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 1.452 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.453 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 1.457 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) 1.457 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.457 * [taylor]: Taking taylor expansion of 1/3 in y 1.457 * [backup-simplify]: Simplify 1/3 into 1/3 1.457 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.457 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.457 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.457 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.457 * [taylor]: Taking taylor expansion of 1/3 in y 1.457 * [backup-simplify]: Simplify 1/3 into 1/3 1.457 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.457 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.457 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.457 * [taylor]: Taking taylor expansion of x in y 1.457 * [backup-simplify]: Simplify x into x 1.457 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.457 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.457 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 1.457 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 1.457 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 1.458 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.458 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.458 * [taylor]: Taking taylor expansion of y in y 1.458 * [backup-simplify]: Simplify 0 into 0 1.458 * [backup-simplify]: Simplify 1 into 1 1.458 * [backup-simplify]: Simplify (* 1 1) into 1 1.458 * [backup-simplify]: Simplify (/ 1 1) into 1 1.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.460 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.461 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 1.461 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 1.462 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.462 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.463 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.464 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0 1.464 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 1.465 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.466 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.466 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 1.466 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 1.467 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 1.469 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 1.469 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.469 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.471 * [backup-simplify]: Simplify (+ 0 0) into 0 1.474 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.475 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.476 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 1.478 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.478 * [taylor]: Taking taylor expansion of 0 in y 1.478 * [backup-simplify]: Simplify 0 into 0 1.478 * [backup-simplify]: Simplify 0 into 0 1.479 * [backup-simplify]: Simplify (pow (/ 1 x) -2/3) into (pow (/ 1 x) -2/3) 1.479 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) 1.479 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in (x y) around 0 1.479 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in y 1.479 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 1.479 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 1.479 * [taylor]: Taking taylor expansion of 1/3 in y 1.479 * [backup-simplify]: Simplify 1/3 into 1/3 1.479 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.479 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.479 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.479 * [taylor]: Taking taylor expansion of y in y 1.479 * [backup-simplify]: Simplify 0 into 0 1.479 * [backup-simplify]: Simplify 1 into 1 1.480 * [backup-simplify]: Simplify (* 1 1) into 1 1.480 * [backup-simplify]: Simplify (/ 1 1) into 1 1.480 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.480 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.480 * [taylor]: Taking taylor expansion of x in y 1.480 * [backup-simplify]: Simplify x into x 1.480 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.480 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.481 * [backup-simplify]: Simplify (+ 1 0) into 1 1.481 * [backup-simplify]: Simplify (log 1) into 0 1.482 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.482 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 1.482 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 1.482 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.482 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.482 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.482 * [taylor]: Taking taylor expansion of 1/3 in x 1.482 * [backup-simplify]: Simplify 1/3 into 1/3 1.482 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.482 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.482 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.482 * [taylor]: Taking taylor expansion of y in x 1.482 * [backup-simplify]: Simplify y into y 1.482 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.482 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.482 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.482 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.483 * [taylor]: Taking taylor expansion of x in x 1.483 * [backup-simplify]: Simplify 0 into 0 1.483 * [backup-simplify]: Simplify 1 into 1 1.483 * [backup-simplify]: Simplify (* 1 1) into 1 1.483 * [backup-simplify]: Simplify (/ 1 1) into 1 1.484 * [backup-simplify]: Simplify (+ 0 1) into 1 1.484 * [backup-simplify]: Simplify (log 1) into 0 1.485 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.485 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.485 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.485 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.485 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.485 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.485 * [taylor]: Taking taylor expansion of 1/3 in x 1.485 * [backup-simplify]: Simplify 1/3 into 1/3 1.485 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.485 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.485 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.485 * [taylor]: Taking taylor expansion of y in x 1.485 * [backup-simplify]: Simplify y into y 1.485 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.485 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.485 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.485 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.485 * [taylor]: Taking taylor expansion of x in x 1.485 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify 1 into 1 1.486 * [backup-simplify]: Simplify (* 1 1) into 1 1.486 * [backup-simplify]: Simplify (/ 1 1) into 1 1.487 * [backup-simplify]: Simplify (+ 0 1) into 1 1.487 * [backup-simplify]: Simplify (log 1) into 0 1.488 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.488 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.488 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.488 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.488 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.488 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.488 * [taylor]: Taking taylor expansion of -2/3 in y 1.488 * [backup-simplify]: Simplify -2/3 into -2/3 1.488 * [taylor]: Taking taylor expansion of (log x) in y 1.488 * [taylor]: Taking taylor expansion of x in y 1.488 * [backup-simplify]: Simplify x into x 1.488 * [backup-simplify]: Simplify (log x) into (log x) 1.488 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 1.488 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.488 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 1.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.490 * [backup-simplify]: Simplify (+ 0 0) into 0 1.492 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.492 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.493 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 1.494 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.494 * [taylor]: Taking taylor expansion of 0 in y 1.494 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 1.495 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 1.496 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.496 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.498 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.500 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 1.501 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.501 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 1.502 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) 1.503 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.503 * [taylor]: Taking taylor expansion of 1/3 in y 1.503 * [backup-simplify]: Simplify 1/3 into 1/3 1.503 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.503 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.503 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.503 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.503 * [taylor]: Taking taylor expansion of 1/3 in y 1.503 * [backup-simplify]: Simplify 1/3 into 1/3 1.503 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.503 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.503 * [taylor]: Taking taylor expansion of x in y 1.503 * [backup-simplify]: Simplify x into x 1.503 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.503 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.503 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 1.503 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 1.504 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 1.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.504 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.504 * [taylor]: Taking taylor expansion of y in y 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify 1 into 1 1.504 * [backup-simplify]: Simplify (* 1 1) into 1 1.504 * [backup-simplify]: Simplify (/ 1 1) into 1 1.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.508 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.509 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 1.510 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 1.511 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.511 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.513 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0 1.514 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 1.516 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.517 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.518 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 1.518 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 1.519 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 1.520 * [backup-simplify]: Simplify 0 into 0 1.520 * [backup-simplify]: Simplify 0 into 0 1.521 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 1.522 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 1.524 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.524 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.526 * [backup-simplify]: Simplify (+ 0 0) into 0 1.529 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.529 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.530 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 1.531 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.531 * [taylor]: Taking taylor expansion of 0 in y 1.531 * [backup-simplify]: Simplify 0 into 0 1.531 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -2/3) into (pow (/ -1 x) -2/3) 1.532 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 1.532 * [backup-simplify]: Simplify (cbrt (+ (* x x) (* y y))) into (pow (+ (pow y 2) (pow x 2)) 1/3) 1.532 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in (x y) around 0 1.532 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in y 1.532 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in y 1.532 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in y 1.532 * [taylor]: Taking taylor expansion of 1/3 in y 1.532 * [backup-simplify]: Simplify 1/3 into 1/3 1.532 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in y 1.532 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 1.532 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.532 * [taylor]: Taking taylor expansion of y in y 1.532 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify 1 into 1 1.532 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.532 * [taylor]: Taking taylor expansion of x in y 1.532 * [backup-simplify]: Simplify x into x 1.532 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.532 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 1.532 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 1.532 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 1.532 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 1.532 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in x 1.532 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in x 1.532 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in x 1.532 * [taylor]: Taking taylor expansion of 1/3 in x 1.532 * [backup-simplify]: Simplify 1/3 into 1/3 1.533 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in x 1.533 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.533 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.533 * [taylor]: Taking taylor expansion of y in x 1.533 * [backup-simplify]: Simplify y into y 1.533 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.533 * [taylor]: Taking taylor expansion of x in x 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify 1 into 1 1.533 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.533 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.533 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 1.533 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 1.533 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 1.533 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in x 1.533 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in x 1.533 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in x 1.533 * [taylor]: Taking taylor expansion of 1/3 in x 1.533 * [backup-simplify]: Simplify 1/3 into 1/3 1.533 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in x 1.533 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.533 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.533 * [taylor]: Taking taylor expansion of y in x 1.533 * [backup-simplify]: Simplify y into y 1.533 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.533 * [taylor]: Taking taylor expansion of x in x 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify 1 into 1 1.533 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.533 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.533 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 1.534 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 1.534 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 1.534 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.534 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.534 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.534 * [taylor]: Taking taylor expansion of 1/3 in y 1.534 * [backup-simplify]: Simplify 1/3 into 1/3 1.534 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.534 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.534 * [taylor]: Taking taylor expansion of y in y 1.534 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify 1 into 1 1.534 * [backup-simplify]: Simplify (* 1 1) into 1 1.534 * [backup-simplify]: Simplify (log 1) into 0 1.535 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.535 * [backup-simplify]: Simplify (* 1/3 (* 2 (log y))) into (* 2/3 (log y)) 1.535 * [backup-simplify]: Simplify (exp (* 2/3 (log y))) into (pow y 2/3) 1.535 * [backup-simplify]: Simplify (pow y 2/3) into (pow y 2/3) 1.535 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.535 * [backup-simplify]: Simplify (+ 0 0) into 0 1.536 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0 1.536 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow y 2)))) into 0 1.537 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.537 * [taylor]: Taking taylor expansion of 0 in y 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.538 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.538 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.539 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log y)))) into 0 1.539 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.540 * [backup-simplify]: Simplify (* 1 1) into 1 1.540 * [backup-simplify]: Simplify (+ 0 1) into 1 1.541 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow y 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow y 2) 1)))) 2) into (/ 1 (pow y 2)) 1.542 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/3 (/ 1 (pow y 2))) 1.542 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.542 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 1.542 * [taylor]: Taking taylor expansion of 1/3 in y 1.542 * [backup-simplify]: Simplify 1/3 into 1/3 1.542 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 1.542 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 1.543 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 1.543 * [taylor]: Taking taylor expansion of 1/3 in y 1.543 * [backup-simplify]: Simplify 1/3 into 1/3 1.543 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 1.543 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.543 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.543 * [taylor]: Taking taylor expansion of y in y 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify 1 into 1 1.543 * [backup-simplify]: Simplify (* 1 1) into 1 1.543 * [backup-simplify]: Simplify (* 1 1) into 1 1.543 * [backup-simplify]: Simplify (/ 1 1) into 1 1.544 * [backup-simplify]: Simplify (log 1) into 0 1.544 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 1.544 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y)) 1.544 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3) 1.544 * [backup-simplify]: Simplify (* 1/3 (pow y -4/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.544 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.544 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.546 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.547 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.547 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0 1.549 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.549 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.551 * [backup-simplify]: Simplify (+ 0 0) into 0 1.554 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow y 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow y 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow y 2) 1)))) 6) into 0 1.555 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0 1.557 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.557 * [taylor]: Taking taylor expansion of 0 in y 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify 0 into 0 1.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.561 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.561 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 1.562 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log y))))) into 0 1.563 * [backup-simplify]: Simplify (* (exp (* -4/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 1.564 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow y -4/3))) into 0 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.570 * [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 1.571 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.572 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0 1.574 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) (pow (* 1 x) 2)) (pow y 2/3)) into (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) 1.575 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) 1.575 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in (x y) around 0 1.575 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in y 1.575 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 1.575 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 1.575 * [taylor]: Taking taylor expansion of 1/3 in y 1.575 * [backup-simplify]: Simplify 1/3 into 1/3 1.575 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.575 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.575 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.575 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.575 * [taylor]: Taking taylor expansion of y in y 1.575 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify 1 into 1 1.576 * [backup-simplify]: Simplify (* 1 1) into 1 1.576 * [backup-simplify]: Simplify (/ 1 1) into 1 1.576 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.576 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.576 * [taylor]: Taking taylor expansion of x in y 1.576 * [backup-simplify]: Simplify x into x 1.576 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.576 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.576 * [backup-simplify]: Simplify (+ 1 0) into 1 1.577 * [backup-simplify]: Simplify (log 1) into 0 1.577 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.577 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 1.577 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 1.577 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.577 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.577 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.577 * [taylor]: Taking taylor expansion of 1/3 in x 1.577 * [backup-simplify]: Simplify 1/3 into 1/3 1.577 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.577 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.577 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.577 * [taylor]: Taking taylor expansion of y in x 1.577 * [backup-simplify]: Simplify y into y 1.577 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.577 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.577 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.577 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.577 * [taylor]: Taking taylor expansion of x in x 1.578 * [backup-simplify]: Simplify 0 into 0 1.578 * [backup-simplify]: Simplify 1 into 1 1.578 * [backup-simplify]: Simplify (* 1 1) into 1 1.578 * [backup-simplify]: Simplify (/ 1 1) into 1 1.578 * [backup-simplify]: Simplify (+ 0 1) into 1 1.578 * [backup-simplify]: Simplify (log 1) into 0 1.579 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.579 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.579 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.579 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.579 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.579 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.579 * [taylor]: Taking taylor expansion of 1/3 in x 1.579 * [backup-simplify]: Simplify 1/3 into 1/3 1.579 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.579 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.579 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.579 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.579 * [taylor]: Taking taylor expansion of y in x 1.579 * [backup-simplify]: Simplify y into y 1.579 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.579 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.579 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.579 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.579 * [taylor]: Taking taylor expansion of x in x 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify 1 into 1 1.580 * [backup-simplify]: Simplify (* 1 1) into 1 1.580 * [backup-simplify]: Simplify (/ 1 1) into 1 1.580 * [backup-simplify]: Simplify (+ 0 1) into 1 1.580 * [backup-simplify]: Simplify (log 1) into 0 1.581 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.581 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.581 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.581 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.581 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.581 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.581 * [taylor]: Taking taylor expansion of -2/3 in y 1.581 * [backup-simplify]: Simplify -2/3 into -2/3 1.581 * [taylor]: Taking taylor expansion of (log x) in y 1.581 * [taylor]: Taking taylor expansion of x in y 1.581 * [backup-simplify]: Simplify x into x 1.581 * [backup-simplify]: Simplify (log x) into (log x) 1.581 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 1.581 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.581 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 1.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.582 * [backup-simplify]: Simplify (+ 0 0) into 0 1.583 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.583 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.584 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 1.584 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.584 * [taylor]: Taking taylor expansion of 0 in y 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify 0 into 0 1.588 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 1.589 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 1.589 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.589 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.590 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.592 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 1.592 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.592 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 1.593 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) 1.593 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.593 * [taylor]: Taking taylor expansion of 1/3 in y 1.593 * [backup-simplify]: Simplify 1/3 into 1/3 1.593 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.593 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.593 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.593 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.593 * [taylor]: Taking taylor expansion of 1/3 in y 1.593 * [backup-simplify]: Simplify 1/3 into 1/3 1.593 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.593 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.593 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.593 * [taylor]: Taking taylor expansion of x in y 1.593 * [backup-simplify]: Simplify x into x 1.593 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.593 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.593 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 1.594 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 1.594 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 1.594 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.594 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.594 * [taylor]: Taking taylor expansion of y in y 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify 1 into 1 1.594 * [backup-simplify]: Simplify (* 1 1) into 1 1.594 * [backup-simplify]: Simplify (/ 1 1) into 1 1.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.596 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.597 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 1.597 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 1.598 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.598 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.599 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.600 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0 1.600 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 1.601 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.602 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.602 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 1.602 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 1.603 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 1.603 * [backup-simplify]: Simplify 0 into 0 1.603 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 1.605 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 1.605 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.605 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.606 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.607 * [backup-simplify]: Simplify (+ 0 0) into 0 1.610 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.611 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.612 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 1.614 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.614 * [taylor]: Taking taylor expansion of 0 in y 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify (pow (/ 1 x) -2/3) into (pow (/ 1 x) -2/3) 1.615 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) 1.615 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in (x y) around 0 1.615 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in y 1.615 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 1.615 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 1.615 * [taylor]: Taking taylor expansion of 1/3 in y 1.615 * [backup-simplify]: Simplify 1/3 into 1/3 1.615 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.615 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.615 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.615 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.615 * [taylor]: Taking taylor expansion of y in y 1.615 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify 1 into 1 1.615 * [backup-simplify]: Simplify (* 1 1) into 1 1.616 * [backup-simplify]: Simplify (/ 1 1) into 1 1.616 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.616 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.616 * [taylor]: Taking taylor expansion of x in y 1.616 * [backup-simplify]: Simplify x into x 1.616 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.616 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.617 * [backup-simplify]: Simplify (+ 1 0) into 1 1.617 * [backup-simplify]: Simplify (log 1) into 0 1.617 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.617 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 1.618 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 1.618 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.618 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.618 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.618 * [taylor]: Taking taylor expansion of 1/3 in x 1.618 * [backup-simplify]: Simplify 1/3 into 1/3 1.618 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.618 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.618 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.618 * [taylor]: Taking taylor expansion of y in x 1.618 * [backup-simplify]: Simplify y into y 1.618 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.618 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.618 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.618 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.618 * [taylor]: Taking taylor expansion of x in x 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify 1 into 1 1.619 * [backup-simplify]: Simplify (* 1 1) into 1 1.619 * [backup-simplify]: Simplify (/ 1 1) into 1 1.619 * [backup-simplify]: Simplify (+ 0 1) into 1 1.620 * [backup-simplify]: Simplify (log 1) into 0 1.620 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.620 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.620 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.620 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.620 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.621 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.621 * [taylor]: Taking taylor expansion of 1/3 in x 1.621 * [backup-simplify]: Simplify 1/3 into 1/3 1.621 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.621 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.621 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.621 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.621 * [taylor]: Taking taylor expansion of y in x 1.621 * [backup-simplify]: Simplify y into y 1.621 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.621 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.621 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.621 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.621 * [taylor]: Taking taylor expansion of x in x 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify 1 into 1 1.621 * [backup-simplify]: Simplify (* 1 1) into 1 1.622 * [backup-simplify]: Simplify (/ 1 1) into 1 1.622 * [backup-simplify]: Simplify (+ 0 1) into 1 1.623 * [backup-simplify]: Simplify (log 1) into 0 1.623 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.623 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.623 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.623 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.623 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.623 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.623 * [taylor]: Taking taylor expansion of -2/3 in y 1.623 * [backup-simplify]: Simplify -2/3 into -2/3 1.623 * [taylor]: Taking taylor expansion of (log x) in y 1.624 * [taylor]: Taking taylor expansion of x in y 1.624 * [backup-simplify]: Simplify x into x 1.624 * [backup-simplify]: Simplify (log x) into (log x) 1.624 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 1.624 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.624 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 1.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.625 * [backup-simplify]: Simplify (+ 0 0) into 0 1.626 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.626 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.626 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 1.627 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.627 * [taylor]: Taking taylor expansion of 0 in y 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 1.628 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 1.628 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.628 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.630 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.631 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 1.631 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.632 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 1.632 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) 1.632 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.632 * [taylor]: Taking taylor expansion of 1/3 in y 1.632 * [backup-simplify]: Simplify 1/3 into 1/3 1.632 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.632 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.632 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.633 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.633 * [taylor]: Taking taylor expansion of 1/3 in y 1.633 * [backup-simplify]: Simplify 1/3 into 1/3 1.633 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.633 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.633 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.633 * [taylor]: Taking taylor expansion of x in y 1.633 * [backup-simplify]: Simplify x into x 1.633 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.633 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.633 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 1.633 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 1.633 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 1.633 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.633 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.633 * [taylor]: Taking taylor expansion of y in y 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify 1 into 1 1.633 * [backup-simplify]: Simplify (* 1 1) into 1 1.634 * [backup-simplify]: Simplify (/ 1 1) into 1 1.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.636 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.637 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 1.637 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 1.638 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.638 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.640 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0 1.641 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 1.641 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.642 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.642 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 1.643 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 1.643 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 1.643 * [backup-simplify]: Simplify 0 into 0 1.643 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 1.645 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 1.646 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.647 * [backup-simplify]: Simplify (+ 0 0) into 0 1.649 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.650 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.650 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 1.652 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.652 * [taylor]: Taking taylor expansion of 0 in y 1.652 * [backup-simplify]: Simplify 0 into 0 1.652 * [backup-simplify]: Simplify 0 into 0 1.652 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -2/3) into (pow (/ -1 x) -2/3) 1.652 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.652 * [backup-simplify]: Simplify (cbrt (+ (* x x) (* y y))) into (pow (+ (pow y 2) (pow x 2)) 1/3) 1.652 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in (x y) around 0 1.652 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in y 1.652 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in y 1.652 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in y 1.653 * [taylor]: Taking taylor expansion of 1/3 in y 1.653 * [backup-simplify]: Simplify 1/3 into 1/3 1.653 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in y 1.653 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 1.653 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.653 * [taylor]: Taking taylor expansion of y in y 1.653 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify 1 into 1 1.653 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.653 * [taylor]: Taking taylor expansion of x in y 1.653 * [backup-simplify]: Simplify x into x 1.653 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.653 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 1.653 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 1.653 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 1.653 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 1.653 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in x 1.653 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in x 1.653 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in x 1.653 * [taylor]: Taking taylor expansion of 1/3 in x 1.654 * [backup-simplify]: Simplify 1/3 into 1/3 1.654 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in x 1.654 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.654 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.654 * [taylor]: Taking taylor expansion of y in x 1.654 * [backup-simplify]: Simplify y into y 1.654 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.654 * [taylor]: Taking taylor expansion of x in x 1.654 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify 1 into 1 1.654 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.654 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.654 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 1.654 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 1.654 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 1.654 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in x 1.654 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in x 1.654 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in x 1.654 * [taylor]: Taking taylor expansion of 1/3 in x 1.654 * [backup-simplify]: Simplify 1/3 into 1/3 1.654 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in x 1.655 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.655 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.655 * [taylor]: Taking taylor expansion of y in x 1.655 * [backup-simplify]: Simplify y into y 1.655 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.655 * [taylor]: Taking taylor expansion of x in x 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 1 into 1 1.655 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.655 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.655 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 1.655 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 1.655 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 1.655 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.655 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.655 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.655 * [taylor]: Taking taylor expansion of 1/3 in y 1.656 * [backup-simplify]: Simplify 1/3 into 1/3 1.656 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.656 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.656 * [taylor]: Taking taylor expansion of y in y 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify 1 into 1 1.656 * [backup-simplify]: Simplify (* 1 1) into 1 1.657 * [backup-simplify]: Simplify (log 1) into 0 1.657 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.657 * [backup-simplify]: Simplify (* 1/3 (* 2 (log y))) into (* 2/3 (log y)) 1.657 * [backup-simplify]: Simplify (exp (* 2/3 (log y))) into (pow y 2/3) 1.657 * [backup-simplify]: Simplify (pow y 2/3) into (pow y 2/3) 1.658 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.658 * [backup-simplify]: Simplify (+ 0 0) into 0 1.659 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0 1.659 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow y 2)))) into 0 1.660 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.660 * [taylor]: Taking taylor expansion of 0 in y 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify 0 into 0 1.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.662 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.663 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.663 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log y)))) into 0 1.664 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 1.664 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.665 * [backup-simplify]: Simplify (* 1 1) into 1 1.666 * [backup-simplify]: Simplify (+ 0 1) into 1 1.668 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow y 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow y 2) 1)))) 2) into (/ 1 (pow y 2)) 1.668 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/3 (/ 1 (pow y 2))) 1.669 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.669 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 1.670 * [taylor]: Taking taylor expansion of 1/3 in y 1.670 * [backup-simplify]: Simplify 1/3 into 1/3 1.670 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 1.670 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 1.670 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 1.670 * [taylor]: Taking taylor expansion of 1/3 in y 1.670 * [backup-simplify]: Simplify 1/3 into 1/3 1.670 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 1.670 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.670 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.670 * [taylor]: Taking taylor expansion of y in y 1.670 * [backup-simplify]: Simplify 0 into 0 1.670 * [backup-simplify]: Simplify 1 into 1 1.670 * [backup-simplify]: Simplify (* 1 1) into 1 1.671 * [backup-simplify]: Simplify (* 1 1) into 1 1.671 * [backup-simplify]: Simplify (/ 1 1) into 1 1.671 * [backup-simplify]: Simplify (log 1) into 0 1.672 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 1.672 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y)) 1.672 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3) 1.672 * [backup-simplify]: Simplify (* 1/3 (pow y -4/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.672 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.672 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.676 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.677 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.678 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0 1.679 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.679 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.681 * [backup-simplify]: Simplify (+ 0 0) into 0 1.684 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow y 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow y 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow y 2) 1)))) 6) into 0 1.685 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0 1.688 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.688 * [taylor]: Taking taylor expansion of 0 in y 1.688 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.691 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.692 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 1.692 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log y))))) into 0 1.693 * [backup-simplify]: Simplify (* (exp (* -4/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 1.694 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow y -4/3))) into 0 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.700 * [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 1.701 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.702 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0 1.704 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.704 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) (pow (* 1 x) 2)) (pow y 2/3)) into (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) 1.705 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) 1.705 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in (x y) around 0 1.705 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in y 1.705 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 1.705 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 1.705 * [taylor]: Taking taylor expansion of 1/3 in y 1.705 * [backup-simplify]: Simplify 1/3 into 1/3 1.705 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.706 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.706 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.706 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.706 * [taylor]: Taking taylor expansion of y in y 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify 1 into 1 1.706 * [backup-simplify]: Simplify (* 1 1) into 1 1.707 * [backup-simplify]: Simplify (/ 1 1) into 1 1.707 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.707 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.707 * [taylor]: Taking taylor expansion of x in y 1.707 * [backup-simplify]: Simplify x into x 1.707 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.707 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.712 * [backup-simplify]: Simplify (+ 1 0) into 1 1.713 * [backup-simplify]: Simplify (log 1) into 0 1.714 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.714 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 1.714 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 1.714 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.714 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.714 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.714 * [taylor]: Taking taylor expansion of 1/3 in x 1.714 * [backup-simplify]: Simplify 1/3 into 1/3 1.714 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.714 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.714 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.714 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.714 * [taylor]: Taking taylor expansion of y in x 1.714 * [backup-simplify]: Simplify y into y 1.714 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.715 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.715 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.715 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.715 * [taylor]: Taking taylor expansion of x in x 1.715 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify 1 into 1 1.715 * [backup-simplify]: Simplify (* 1 1) into 1 1.715 * [backup-simplify]: Simplify (/ 1 1) into 1 1.716 * [backup-simplify]: Simplify (+ 0 1) into 1 1.716 * [backup-simplify]: Simplify (log 1) into 0 1.717 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.717 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.717 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.717 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.717 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.717 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.717 * [taylor]: Taking taylor expansion of 1/3 in x 1.717 * [backup-simplify]: Simplify 1/3 into 1/3 1.717 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.717 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.717 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.717 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.717 * [taylor]: Taking taylor expansion of y in x 1.717 * [backup-simplify]: Simplify y into y 1.717 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.717 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.717 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.717 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.717 * [taylor]: Taking taylor expansion of x in x 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 1 into 1 1.718 * [backup-simplify]: Simplify (* 1 1) into 1 1.718 * [backup-simplify]: Simplify (/ 1 1) into 1 1.719 * [backup-simplify]: Simplify (+ 0 1) into 1 1.719 * [backup-simplify]: Simplify (log 1) into 0 1.719 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.720 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.720 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.720 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.720 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.720 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.720 * [taylor]: Taking taylor expansion of -2/3 in y 1.720 * [backup-simplify]: Simplify -2/3 into -2/3 1.720 * [taylor]: Taking taylor expansion of (log x) in y 1.720 * [taylor]: Taking taylor expansion of x in y 1.720 * [backup-simplify]: Simplify x into x 1.720 * [backup-simplify]: Simplify (log x) into (log x) 1.720 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 1.720 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.720 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 1.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.722 * [backup-simplify]: Simplify (+ 0 0) into 0 1.723 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.724 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.724 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 1.725 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.725 * [taylor]: Taking taylor expansion of 0 in y 1.725 * [backup-simplify]: Simplify 0 into 0 1.725 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 1.727 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 1.728 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.728 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.730 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.732 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 1.732 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.733 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 1.734 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) 1.734 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.734 * [taylor]: Taking taylor expansion of 1/3 in y 1.734 * [backup-simplify]: Simplify 1/3 into 1/3 1.734 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.734 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.734 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.734 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.734 * [taylor]: Taking taylor expansion of 1/3 in y 1.734 * [backup-simplify]: Simplify 1/3 into 1/3 1.734 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.734 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.734 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.735 * [taylor]: Taking taylor expansion of x in y 1.735 * [backup-simplify]: Simplify x into x 1.735 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.735 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.735 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 1.735 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 1.735 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 1.735 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.735 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.735 * [taylor]: Taking taylor expansion of y in y 1.735 * [backup-simplify]: Simplify 0 into 0 1.735 * [backup-simplify]: Simplify 1 into 1 1.736 * [backup-simplify]: Simplify (* 1 1) into 1 1.736 * [backup-simplify]: Simplify (/ 1 1) into 1 1.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.739 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.741 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 1.741 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 1.742 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.743 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.743 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.745 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0 1.746 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 1.748 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.749 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.749 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 1.750 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 1.751 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 1.753 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 1.755 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.755 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.758 * [backup-simplify]: Simplify (+ 0 0) into 0 1.761 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.762 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.763 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 1.765 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.766 * [taylor]: Taking taylor expansion of 0 in y 1.766 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify (pow (/ 1 x) -2/3) into (pow (/ 1 x) -2/3) 1.766 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) 1.766 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in (x y) around 0 1.766 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in y 1.766 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 1.766 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 1.766 * [taylor]: Taking taylor expansion of 1/3 in y 1.766 * [backup-simplify]: Simplify 1/3 into 1/3 1.766 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.766 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.766 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.766 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.766 * [taylor]: Taking taylor expansion of y in y 1.766 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify 1 into 1 1.767 * [backup-simplify]: Simplify (* 1 1) into 1 1.767 * [backup-simplify]: Simplify (/ 1 1) into 1 1.767 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.767 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.767 * [taylor]: Taking taylor expansion of x in y 1.767 * [backup-simplify]: Simplify x into x 1.767 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.768 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.768 * [backup-simplify]: Simplify (+ 1 0) into 1 1.768 * [backup-simplify]: Simplify (log 1) into 0 1.769 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.769 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 1.769 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 1.769 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.769 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.769 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.769 * [taylor]: Taking taylor expansion of 1/3 in x 1.769 * [backup-simplify]: Simplify 1/3 into 1/3 1.769 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.769 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.769 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.769 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.769 * [taylor]: Taking taylor expansion of y in x 1.769 * [backup-simplify]: Simplify y into y 1.769 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.769 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.769 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.770 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.770 * [taylor]: Taking taylor expansion of x in x 1.770 * [backup-simplify]: Simplify 0 into 0 1.770 * [backup-simplify]: Simplify 1 into 1 1.770 * [backup-simplify]: Simplify (* 1 1) into 1 1.770 * [backup-simplify]: Simplify (/ 1 1) into 1 1.771 * [backup-simplify]: Simplify (+ 0 1) into 1 1.771 * [backup-simplify]: Simplify (log 1) into 0 1.772 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.772 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.772 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.772 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.772 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.772 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.772 * [taylor]: Taking taylor expansion of 1/3 in x 1.772 * [backup-simplify]: Simplify 1/3 into 1/3 1.772 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.772 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.772 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.772 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.772 * [taylor]: Taking taylor expansion of y in x 1.772 * [backup-simplify]: Simplify y into y 1.772 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.772 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.772 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.772 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.772 * [taylor]: Taking taylor expansion of x in x 1.772 * [backup-simplify]: Simplify 0 into 0 1.772 * [backup-simplify]: Simplify 1 into 1 1.773 * [backup-simplify]: Simplify (* 1 1) into 1 1.773 * [backup-simplify]: Simplify (/ 1 1) into 1 1.774 * [backup-simplify]: Simplify (+ 0 1) into 1 1.774 * [backup-simplify]: Simplify (log 1) into 0 1.774 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.774 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.775 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.775 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.775 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.775 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.775 * [taylor]: Taking taylor expansion of -2/3 in y 1.775 * [backup-simplify]: Simplify -2/3 into -2/3 1.775 * [taylor]: Taking taylor expansion of (log x) in y 1.775 * [taylor]: Taking taylor expansion of x in y 1.775 * [backup-simplify]: Simplify x into x 1.775 * [backup-simplify]: Simplify (log x) into (log x) 1.775 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 1.775 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.775 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 1.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.777 * [backup-simplify]: Simplify (+ 0 0) into 0 1.778 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.779 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.779 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 1.780 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.780 * [taylor]: Taking taylor expansion of 0 in y 1.780 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify 0 into 0 1.781 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 1.782 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 1.783 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.783 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.785 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.787 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 1.787 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.788 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 1.789 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) 1.789 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.789 * [taylor]: Taking taylor expansion of 1/3 in y 1.789 * [backup-simplify]: Simplify 1/3 into 1/3 1.789 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.789 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.789 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.789 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.789 * [taylor]: Taking taylor expansion of 1/3 in y 1.789 * [backup-simplify]: Simplify 1/3 into 1/3 1.789 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.789 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.789 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.789 * [taylor]: Taking taylor expansion of x in y 1.789 * [backup-simplify]: Simplify x into x 1.789 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.789 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.790 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 1.790 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 1.790 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 1.790 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.790 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.790 * [taylor]: Taking taylor expansion of y in y 1.790 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify 1 into 1 1.790 * [backup-simplify]: Simplify (* 1 1) into 1 1.791 * [backup-simplify]: Simplify (/ 1 1) into 1 1.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.794 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.796 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 1.796 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 1.797 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.798 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.798 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.800 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0 1.801 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 1.803 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.804 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.805 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 1.805 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 1.806 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 1.806 * [backup-simplify]: Simplify 0 into 0 1.806 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 1.809 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 1.810 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.810 * [backup-simplify]: Simplify 0 into 0 1.810 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.813 * [backup-simplify]: Simplify (+ 0 0) into 0 1.816 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.817 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.818 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 1.820 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.820 * [taylor]: Taking taylor expansion of 0 in y 1.820 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -2/3) into (pow (/ -1 x) -2/3) 1.820 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.821 * [backup-simplify]: Simplify (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))) into (sqrt (+ (pow y 2) (pow x 2))) 1.821 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0 1.821 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y 1.821 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 1.821 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.821 * [taylor]: Taking taylor expansion of y in y 1.821 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify 1 into 1 1.821 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.821 * [taylor]: Taking taylor expansion of x in y 1.821 * [backup-simplify]: Simplify x into x 1.821 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.822 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 1.822 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.822 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.822 * [backup-simplify]: Simplify (+ 0 0) into 0 1.822 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.822 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 1.822 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.822 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.822 * [taylor]: Taking taylor expansion of y in x 1.823 * [backup-simplify]: Simplify y into y 1.823 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.823 * [taylor]: Taking taylor expansion of x in x 1.823 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify 1 into 1 1.823 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.823 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.823 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.823 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.823 * [backup-simplify]: Simplify (+ 0 0) into 0 1.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.824 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 1.824 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.824 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.824 * [taylor]: Taking taylor expansion of y in x 1.824 * [backup-simplify]: Simplify y into y 1.824 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.824 * [taylor]: Taking taylor expansion of x in x 1.824 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify 1 into 1 1.824 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.824 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.824 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.824 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.825 * [backup-simplify]: Simplify (+ 0 0) into 0 1.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.825 * [taylor]: Taking taylor expansion of y in y 1.825 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify 1 into 1 1.825 * [backup-simplify]: Simplify 0 into 0 1.825 * [taylor]: Taking taylor expansion of 0 in y 1.825 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify 1 into 1 1.826 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.826 * [backup-simplify]: Simplify (* 1 1) into 1 1.826 * [backup-simplify]: Simplify (+ 0 1) into 1 1.827 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 1.827 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.827 * [taylor]: Taking taylor expansion of 1/2 in y 1.827 * [backup-simplify]: Simplify 1/2 into 1/2 1.827 * [taylor]: Taking taylor expansion of y in y 1.827 * [backup-simplify]: Simplify 0 into 0 1.827 * [backup-simplify]: Simplify 1 into 1 1.828 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.828 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.830 * [backup-simplify]: Simplify (+ 0 0) into 0 1.830 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 1.830 * [taylor]: Taking taylor expansion of 0 in y 1.831 * [backup-simplify]: Simplify 0 into 0 1.831 * [backup-simplify]: Simplify 0 into 0 1.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.832 * [backup-simplify]: Simplify 0 into 0 1.832 * [backup-simplify]: Simplify 0 into 0 1.832 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 1.833 * [backup-simplify]: Simplify (sqrt (* (* (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 1.833 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 1.833 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.833 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.833 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.833 * [taylor]: Taking taylor expansion of y in y 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify 1 into 1 1.833 * [backup-simplify]: Simplify (* 1 1) into 1 1.834 * [backup-simplify]: Simplify (/ 1 1) into 1 1.834 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.834 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.834 * [taylor]: Taking taylor expansion of x in y 1.834 * [backup-simplify]: Simplify x into x 1.834 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.834 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.835 * [backup-simplify]: Simplify (+ 1 0) into 1 1.835 * [backup-simplify]: Simplify (sqrt 1) into 1 1.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.836 * [backup-simplify]: Simplify (+ 0 0) into 0 1.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.837 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.837 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.837 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.837 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.837 * [taylor]: Taking taylor expansion of y in x 1.837 * [backup-simplify]: Simplify y into y 1.837 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.837 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.837 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.837 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.837 * [taylor]: Taking taylor expansion of x in x 1.837 * [backup-simplify]: Simplify 0 into 0 1.837 * [backup-simplify]: Simplify 1 into 1 1.837 * [backup-simplify]: Simplify (* 1 1) into 1 1.838 * [backup-simplify]: Simplify (/ 1 1) into 1 1.838 * [backup-simplify]: Simplify (+ 0 1) into 1 1.838 * [backup-simplify]: Simplify (sqrt 1) into 1 1.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.839 * [backup-simplify]: Simplify (+ 0 0) into 0 1.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.840 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.840 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.840 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.840 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.840 * [taylor]: Taking taylor expansion of y in x 1.840 * [backup-simplify]: Simplify y into y 1.840 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.840 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.840 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.840 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.840 * [taylor]: Taking taylor expansion of x in x 1.840 * [backup-simplify]: Simplify 0 into 0 1.840 * [backup-simplify]: Simplify 1 into 1 1.840 * [backup-simplify]: Simplify (* 1 1) into 1 1.840 * [backup-simplify]: Simplify (/ 1 1) into 1 1.841 * [backup-simplify]: Simplify (+ 0 1) into 1 1.841 * [backup-simplify]: Simplify (sqrt 1) into 1 1.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.842 * [backup-simplify]: Simplify (+ 0 0) into 0 1.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.842 * [taylor]: Taking taylor expansion of 1 in y 1.842 * [backup-simplify]: Simplify 1 into 1 1.843 * [taylor]: Taking taylor expansion of 0 in y 1.843 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify 1 into 1 1.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.844 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.845 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.845 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.845 * [taylor]: Taking taylor expansion of 1/2 in y 1.845 * [backup-simplify]: Simplify 1/2 into 1/2 1.845 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.845 * [taylor]: Taking taylor expansion of y in y 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify 1 into 1 1.845 * [backup-simplify]: Simplify (* 1 1) into 1 1.845 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.848 * [backup-simplify]: Simplify (+ 0 0) into 0 1.848 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.848 * [taylor]: Taking taylor expansion of 0 in y 1.848 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.850 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 1.850 * [backup-simplify]: Simplify (sqrt (* (* (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 1.850 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 1.851 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.851 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.851 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.851 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.851 * [taylor]: Taking taylor expansion of y in y 1.851 * [backup-simplify]: Simplify 0 into 0 1.851 * [backup-simplify]: Simplify 1 into 1 1.851 * [backup-simplify]: Simplify (* 1 1) into 1 1.851 * [backup-simplify]: Simplify (/ 1 1) into 1 1.851 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.851 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.851 * [taylor]: Taking taylor expansion of x in y 1.851 * [backup-simplify]: Simplify x into x 1.851 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.851 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.856 * [backup-simplify]: Simplify (+ 1 0) into 1 1.856 * [backup-simplify]: Simplify (sqrt 1) into 1 1.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.858 * [backup-simplify]: Simplify (+ 0 0) into 0 1.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.859 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.859 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.859 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.859 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.859 * [taylor]: Taking taylor expansion of y in x 1.859 * [backup-simplify]: Simplify y into y 1.859 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.859 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.859 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.860 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.860 * [taylor]: Taking taylor expansion of x in x 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify 1 into 1 1.860 * [backup-simplify]: Simplify (* 1 1) into 1 1.860 * [backup-simplify]: Simplify (/ 1 1) into 1 1.860 * [backup-simplify]: Simplify (+ 0 1) into 1 1.861 * [backup-simplify]: Simplify (sqrt 1) into 1 1.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.862 * [backup-simplify]: Simplify (+ 0 0) into 0 1.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.862 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.862 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.862 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.862 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.862 * [taylor]: Taking taylor expansion of y in x 1.862 * [backup-simplify]: Simplify y into y 1.862 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.862 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.862 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.862 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.862 * [taylor]: Taking taylor expansion of x in x 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify 1 into 1 1.863 * [backup-simplify]: Simplify (* 1 1) into 1 1.863 * [backup-simplify]: Simplify (/ 1 1) into 1 1.863 * [backup-simplify]: Simplify (+ 0 1) into 1 1.863 * [backup-simplify]: Simplify (sqrt 1) into 1 1.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.865 * [backup-simplify]: Simplify (+ 0 0) into 0 1.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.866 * [taylor]: Taking taylor expansion of 1 in y 1.866 * [backup-simplify]: Simplify 1 into 1 1.866 * [taylor]: Taking taylor expansion of 0 in y 1.866 * [backup-simplify]: Simplify 0 into 0 1.866 * [backup-simplify]: Simplify 1 into 1 1.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.868 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.869 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.870 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.870 * [taylor]: Taking taylor expansion of 1/2 in y 1.870 * [backup-simplify]: Simplify 1/2 into 1/2 1.870 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.870 * [taylor]: Taking taylor expansion of y in y 1.870 * [backup-simplify]: Simplify 0 into 0 1.870 * [backup-simplify]: Simplify 1 into 1 1.870 * [backup-simplify]: Simplify (* 1 1) into 1 1.871 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.872 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.875 * [backup-simplify]: Simplify (+ 0 0) into 0 1.876 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.876 * [taylor]: Taking taylor expansion of 0 in y 1.876 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.878 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 1.878 * * * [progress]: simplifying candidates 1.881 * [simplify]: Simplifying: (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt 1) (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x 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(cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt 1) (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (log (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))) (exp (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))) (* (cbrt (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))) (cbrt (sqrt (* (* (cbrt (+ 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(* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (- (* x x) (* y y)))) (/ (+ (+ 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 y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))) (sqrt (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))) (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) y x (* -1 x) 1.886 * * [simplify]: iteration 0: 164 enodes 1.953 * * [simplify]: iteration 1: 305 enodes 2.068 * * [simplify]: iteration 2: 701 enodes 2.624 * * [simplify]: iteration 3: 2997 enodes 3.655 * * [simplify]: iteration complete: 5004 enodes 3.655 * * [simplify]: Extracting #0: cost 47 inf + 0 3.655 * * [simplify]: Extracting #1: cost 83 inf + 47 3.656 * * [simplify]: Extracting #2: cost 229 inf + 469 3.659 * * [simplify]: Extracting #3: cost 1269 inf + 10445 3.674 * * [simplify]: Extracting #4: cost 936 inf + 80672 3.709 * * [simplify]: Extracting #5: cost 183 inf + 181450 3.753 * * [simplify]: Extracting #6: cost 21 inf + 215637 3.814 * * [simplify]: Extracting #7: cost 1 inf + 221625 3.861 * * [simplify]: Extracting #8: cost 0 inf + 221878 3.897 * [simplify]: Simplified to: (log (cbrt (+ (* y y) (* x x)))) (exp (cbrt (+ (* y y) (* x x)))) (cbrt (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))) (cbrt (cbrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x)))) 1 (cbrt (+ (* y 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(* x x)) (* (* y y) (* y y)))))) (sqrt (cbrt (* (- x y) (+ x y)))) (sqrt (* (cbrt (+ (* y y) (* x x))) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) (* x x)) (* x x))))))) (sqrt (cbrt (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x))))) (sqrt (* (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (sqrt (cbrt (* (- x y) (+ 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 y) (* x x)))) (sqrt (sqrt (+ (* y y) (* x x)))) (+ (* (* 1/3 (* (cbrt (/ 1 (* (* y y) (* y y)))) x)) x) (* (cbrt y) (cbrt y))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (* (* 1/3 (* (cbrt (/ 1 (* (* y y) (* y y)))) x)) x) (* (cbrt y) (cbrt y))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (* (* 1/3 (* (cbrt (/ 1 (* (* y y) (* y y)))) x)) x) (* (cbrt y) (cbrt y))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) y x (- x) 3.910 * * * [progress]: adding candidates to table 4.312 * * [progress]: iteration 3 / 4 4.312 * * * [progress]: picking best candidate 4.320 * * * * [pick]: Picked # 4.320 * * * [progress]: localizing error 4.321 * * * [progress]: generating rewritten candidates 4.321 * * * [progress]: generating series expansions 4.321 * * * [progress]: simplifying candidates 4.322 * [simplify]: Simplifying: 4.322 * * [simplify]: iteration 0: 0 enodes 4.322 * * [simplify]: iteration complete: 0 enodes 4.322 * * [simplify]: Extracting #0: cost 0 inf + 0 4.322 * [simplify]: Simplified to: 4.322 * * * [progress]: adding candidates to table 4.322 * * [progress]: iteration 4 / 4 4.322 * * * [progress]: picking best candidate 4.328 * * * * [pick]: Picked # 4.328 * * * [progress]: localizing error 4.329 * * * [progress]: generating rewritten candidates 4.329 * * * [progress]: generating series expansions 4.329 * * * [progress]: simplifying candidates 4.329 * [simplify]: Simplifying: 4.329 * * [simplify]: iteration 0: 0 enodes 4.329 * * [simplify]: iteration complete: 0 enodes 4.329 * * [simplify]: Extracting #0: cost 0 inf + 0 4.329 * [simplify]: Simplified to: 4.329 * * * [progress]: adding candidates to table 4.330 * [progress]: [Phase 3 of 3] Extracting. 4.330 * * [regime]: Finding splitpoints for: (# # # # #) 4.330 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x) 4.330 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 4.369 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 4.411 * * * * [regimes]: Trying to branch on (* x x) from (# # # # #) 4.476 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 4.522 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # # #) 4.563 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 4.608 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # # # #) 4.684 * * * * [regimes]: Trying to branch on y from (# # # # #) 4.766 * * * * [regimes]: Trying to branch on x from (# # # # #) 4.830 * * * [regime]: Found split indices: #