38.975 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying: (sqrt (+ (* x x) (* y y))) 0.022 * * [simplify]: iteration 0: 6 enodes 0.023 * * [simplify]: iteration 1: 7 enodes 0.025 * * [simplify]: iteration complete: 7 enodes 0.025 * * [simplify]: Extracting #0: cost 1 inf + 0 0.025 * * [simplify]: Extracting #1: cost 2 inf + 0 0.025 * * [simplify]: Extracting #2: cost 4 inf + 0 0.025 * * [simplify]: Extracting #3: cost 6 inf + 0 0.025 * * [simplify]: Extracting #4: cost 3 inf + 5 0.025 * * [simplify]: Extracting #5: cost 0 inf + 23 0.025 * [simplify]: Simplified to: (sqrt (+ (* x x) (* y y))) 0.026 * * [progress]: iteration 1 / 4 0.026 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.053 * * * [progress]: generating rewritten candidates 0.053 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.066 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.076 * * * [progress]: generating series expansions 0.076 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.076 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2))) 0.076 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0 0.076 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y 0.076 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 0.076 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.076 * [taylor]: Taking taylor expansion of x in y 0.076 * [backup-simplify]: Simplify x into x 0.076 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.076 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 0.076 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.077 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.082 * [backup-simplify]: Simplify (+ 0 0) into 0 0.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.083 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 0.083 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.083 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.083 * [taylor]: Taking taylor expansion of y in x 0.083 * [backup-simplify]: Simplify y into y 0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.083 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.083 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.083 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.083 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 0.084 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 0.084 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [backup-simplify]: Simplify y into y 0.084 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.084 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.084 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.084 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.084 * [taylor]: Taking taylor expansion of y in y 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.085 * [backup-simplify]: Simplify (* 1 1) into 1 0.085 * [backup-simplify]: Simplify (+ 0 1) into 1 0.086 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.086 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.086 * [taylor]: Taking taylor expansion of 1/2 in y 0.086 * [backup-simplify]: Simplify 1/2 into 1/2 0.086 * [taylor]: Taking taylor expansion of y in y 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 0.089 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 0.089 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 0.089 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (* 1 1) into 1 0.090 * [backup-simplify]: Simplify (/ 1 1) into 1 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 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 (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.090 * [backup-simplify]: Simplify (+ 1 0) into 1 0.091 * [backup-simplify]: Simplify (sqrt 1) into 1 0.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.092 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.092 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.092 * [taylor]: Taking taylor expansion of y in x 0.092 * [backup-simplify]: Simplify y into y 0.092 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.092 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.092 * [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 (* 1 1) into 1 0.093 * [backup-simplify]: Simplify (/ 1 1) into 1 0.093 * [backup-simplify]: Simplify (+ 0 1) into 1 0.093 * [backup-simplify]: Simplify (sqrt 1) into 1 0.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.095 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.095 * [taylor]: Taking taylor expansion of y in x 0.095 * [backup-simplify]: Simplify y into y 0.095 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.095 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (* 1 1) into 1 0.096 * [backup-simplify]: Simplify (/ 1 1) into 1 0.096 * [backup-simplify]: Simplify (+ 0 1) into 1 0.096 * [backup-simplify]: Simplify (sqrt 1) into 1 0.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.098 * [taylor]: Taking taylor expansion of 1 in y 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.100 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.100 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.100 * [taylor]: Taking taylor expansion of 1/2 in y 0.100 * [backup-simplify]: Simplify 1/2 into 1/2 0.100 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (* 1 1) into 1 0.101 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 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 0 into 0 0.102 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.104 * [taylor]: Taking taylor expansion of 0 in y 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 0.105 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 0.106 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 0.106 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 0.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.106 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify (* 1 1) into 1 0.107 * [backup-simplify]: Simplify (/ 1 1) into 1 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.107 * [taylor]: Taking taylor expansion of x in y 0.107 * [backup-simplify]: Simplify x into x 0.107 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.107 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.107 * [backup-simplify]: Simplify (+ 1 0) into 1 0.108 * [backup-simplify]: Simplify (sqrt 1) into 1 0.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.111 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.111 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.111 * [taylor]: Taking taylor expansion of y in x 0.111 * [backup-simplify]: Simplify y into y 0.111 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.111 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.111 * [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 0.112 * [backup-simplify]: Simplify (* 1 1) into 1 0.112 * [backup-simplify]: Simplify (/ 1 1) into 1 0.113 * [backup-simplify]: Simplify (+ 0 1) into 1 0.113 * [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 0.115 * [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 (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.116 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.116 * [taylor]: Taking taylor expansion of y in x 0.116 * [backup-simplify]: Simplify y into y 0.116 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.116 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (* 1 1) into 1 0.117 * [backup-simplify]: Simplify (/ 1 1) into 1 0.117 * [backup-simplify]: Simplify (+ 0 1) into 1 0.118 * [backup-simplify]: Simplify (sqrt 1) into 1 0.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.121 * [taylor]: Taking taylor expansion of 1 in y 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [taylor]: Taking taylor expansion of 0 in y 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.124 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.124 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.124 * [taylor]: Taking taylor expansion of 1/2 in y 0.124 * [backup-simplify]: Simplify 1/2 into 1/2 0.124 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.124 * [taylor]: Taking taylor expansion of y in y 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (* 1 1) into 1 0.125 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.131 * [taylor]: Taking taylor expansion of 0 in y 0.131 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 0.133 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.134 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 0.134 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 0.134 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.134 * [taylor]: Taking taylor expansion of y in y 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.134 * [taylor]: Taking taylor expansion of x in y 0.134 * [backup-simplify]: Simplify x into x 0.134 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 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 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 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 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.135 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.135 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [taylor]: Taking taylor expansion of 0 in y 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.136 * [backup-simplify]: Simplify (* 1 1) into 1 0.137 * [backup-simplify]: Simplify (+ 0 1) into 1 0.137 * [taylor]: Taking taylor expansion of 1 in y 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (* 1 1) into 1 0.137 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.139 * [taylor]: Taking taylor expansion of 0 in y 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.143 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [taylor]: Taking taylor expansion of 0 in y 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 0.144 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.144 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.144 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.144 * [taylor]: Taking taylor expansion of y in y 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (* 1 1) into 1 0.145 * [backup-simplify]: Simplify (/ 1 1) into 1 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.145 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.145 * [taylor]: Taking taylor expansion of x in y 0.145 * [backup-simplify]: Simplify x into x 0.145 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.145 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.145 * [taylor]: Taking taylor expansion of y in x 0.145 * [backup-simplify]: Simplify y into y 0.145 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.145 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (* 1 1) into 1 0.146 * [backup-simplify]: Simplify (/ 1 1) into 1 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.146 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.146 * [taylor]: Taking taylor expansion of y in x 0.146 * [backup-simplify]: Simplify y into y 0.147 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.147 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (* 1 1) into 1 0.148 * [backup-simplify]: Simplify (/ 1 1) into 1 0.148 * [backup-simplify]: Simplify (+ 0 1) into 1 0.148 * [taylor]: Taking taylor expansion of 1 in y 0.148 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (+ 0 0) into 0 0.150 * [taylor]: Taking taylor expansion of 0 in y 0.150 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.152 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.152 * [taylor]: Taking taylor expansion of y in y 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (* 1 1) into 1 0.153 * [backup-simplify]: Simplify (/ 1 1) into 1 0.153 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [taylor]: Taking taylor expansion of 0 in y 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [taylor]: Taking taylor expansion of 0 in y 0.162 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 0.165 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 0.165 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.165 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (* 1 1) into 1 0.166 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.166 * [taylor]: Taking taylor expansion of x in y 0.166 * [backup-simplify]: Simplify x into x 0.166 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.166 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.166 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.166 * [taylor]: Taking taylor expansion of y in x 0.166 * [backup-simplify]: Simplify y into y 0.166 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.166 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.167 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (* 1 1) into 1 0.167 * [backup-simplify]: Simplify (/ 1 1) into 1 0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.167 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.168 * [taylor]: Taking taylor expansion of y in x 0.168 * [backup-simplify]: Simplify y into y 0.168 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.168 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.168 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (* 1 1) into 1 0.169 * [backup-simplify]: Simplify (/ 1 1) into 1 0.169 * [backup-simplify]: Simplify (+ 0 1) into 1 0.169 * [taylor]: Taking taylor expansion of 1 in y 0.169 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (+ 0 0) into 0 0.171 * [taylor]: Taking taylor expansion of 0 in y 0.171 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.173 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.173 * [taylor]: Taking taylor expansion of y in y 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (* 1 1) into 1 0.174 * [backup-simplify]: Simplify (/ 1 1) into 1 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.177 * [backup-simplify]: Simplify (+ 0 0) into 0 0.177 * [taylor]: Taking taylor expansion of 0 in y 0.177 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (+ 0 0) into 0 0.182 * [taylor]: Taking taylor expansion of 0 in y 0.182 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 0.185 * * * [progress]: simplifying candidates 0.186 * [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)) 0.187 * * [simplify]: iteration 0: 48 enodes 0.204 * * [simplify]: iteration 1: 142 enodes 0.311 * * [simplify]: iteration 2: 770 enodes 0.640 * * [simplify]: iteration complete: 5000 enodes 0.640 * * [simplify]: Extracting #0: cost 28 inf + 0 0.641 * * [simplify]: Extracting #1: cost 262 inf + 4 0.648 * * [simplify]: Extracting #2: cost 1739 inf + 155 0.660 * * [simplify]: Extracting #3: cost 1667 inf + 4154 0.684 * * [simplify]: Extracting #4: cost 347 inf + 16400 0.695 * * [simplify]: Extracting #5: cost 43 inf + 19427 0.702 * * [simplify]: Extracting #6: cost 0 inf + 19785 0.709 * [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)))) (pow (sqrt (+ (* x x) (* y y))) 3) (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 (+ (pow x 6) (pow y 6))) (sqrt (+ (pow y 4) (* (* x x) (* (+ x y) (- x y))))) (sqrt (- (pow x 4) (pow y 4))) (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))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow x 6) (pow y 6)) (+ (pow y 4) (* (* x x) (* (+ x y) (- x y)))) (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)) y x (- x) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 0.709 * * * [progress]: adding candidates to table 0.866 * * [progress]: iteration 2 / 4 0.866 * * * [progress]: picking best candidate 0.884 * * * * [pick]: Picked # 0.885 * * * [progress]: localizing error 0.941 * * * [progress]: generating rewritten candidates 0.941 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.949 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 0.965 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.972 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.055 * * * [progress]: generating series expansions 1.055 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.058 * [backup-simplify]: Simplify (cbrt (+ (* x x) (* y y))) into (pow (+ (pow y 2) (pow x 2)) 1/3) 1.058 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in (x y) around 0 1.058 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in y 1.058 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in y 1.058 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in y 1.058 * [taylor]: Taking taylor expansion of 1/3 in y 1.058 * [backup-simplify]: Simplify 1/3 into 1/3 1.058 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in y 1.058 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 1.058 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.058 * [taylor]: Taking taylor expansion of y in y 1.059 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify 1 into 1 1.059 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.059 * [taylor]: Taking taylor expansion of x in y 1.059 * [backup-simplify]: Simplify x into x 1.059 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.059 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 1.059 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 1.059 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 1.059 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 1.059 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in x 1.059 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in x 1.060 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in x 1.060 * [taylor]: Taking taylor expansion of 1/3 in x 1.060 * [backup-simplify]: Simplify 1/3 into 1/3 1.060 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in x 1.060 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.060 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.060 * [taylor]: Taking taylor expansion of y in x 1.060 * [backup-simplify]: Simplify y into y 1.060 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.060 * [taylor]: Taking taylor expansion of x in x 1.060 * [backup-simplify]: Simplify 0 into 0 1.060 * [backup-simplify]: Simplify 1 into 1 1.060 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.060 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.060 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 1.060 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 1.061 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 1.061 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in x 1.061 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in x 1.061 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in x 1.061 * [taylor]: Taking taylor expansion of 1/3 in x 1.061 * [backup-simplify]: Simplify 1/3 into 1/3 1.061 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in x 1.061 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.061 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.061 * [taylor]: Taking taylor expansion of y in x 1.061 * [backup-simplify]: Simplify y into y 1.061 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.061 * [taylor]: Taking taylor expansion of x in x 1.061 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify 1 into 1 1.061 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.061 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.061 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 1.061 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 1.062 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 1.062 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.062 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.062 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.062 * [taylor]: Taking taylor expansion of 1/3 in y 1.062 * [backup-simplify]: Simplify 1/3 into 1/3 1.062 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.062 * [taylor]: Taking taylor expansion of y in y 1.062 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify 1 into 1 1.063 * [backup-simplify]: Simplify (* 1 1) into 1 1.064 * [backup-simplify]: Simplify (log 1) into 0 1.064 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.064 * [backup-simplify]: Simplify (* 1/3 (* 2 (log y))) into (* 2/3 (log y)) 1.064 * [backup-simplify]: Simplify (exp (* 2/3 (log y))) into (pow y 2/3) 1.065 * [backup-simplify]: Simplify (pow y 2/3) into (pow y 2/3) 1.065 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.065 * [backup-simplify]: Simplify (+ 0 0) into 0 1.066 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0 1.067 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow y 2)))) into 0 1.068 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.068 * [taylor]: Taking taylor expansion of 0 in y 1.068 * [backup-simplify]: Simplify 0 into 0 1.068 * [backup-simplify]: Simplify 0 into 0 1.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.070 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.071 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.071 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log y)))) into 0 1.072 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 1.072 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.073 * [backup-simplify]: Simplify (* 1 1) into 1 1.074 * [backup-simplify]: Simplify (+ 0 1) into 1 1.076 * [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)) 1.077 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/3 (/ 1 (pow y 2))) 1.078 * [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)) 1.078 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 1.078 * [taylor]: Taking taylor expansion of 1/3 in y 1.078 * [backup-simplify]: Simplify 1/3 into 1/3 1.078 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 1.078 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 1.078 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 1.078 * [taylor]: Taking taylor expansion of 1/3 in y 1.078 * [backup-simplify]: Simplify 1/3 into 1/3 1.078 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 1.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.078 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.078 * [taylor]: Taking taylor expansion of y in y 1.078 * [backup-simplify]: Simplify 0 into 0 1.078 * [backup-simplify]: Simplify 1 into 1 1.079 * [backup-simplify]: Simplify (* 1 1) into 1 1.079 * [backup-simplify]: Simplify (* 1 1) into 1 1.079 * [backup-simplify]: Simplify (/ 1 1) into 1 1.080 * [backup-simplify]: Simplify (log 1) into 0 1.080 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 1.080 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y)) 1.080 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3) 1.081 * [backup-simplify]: Simplify (* 1/3 (pow y -4/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.081 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.083 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.083 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.084 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0 1.085 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.086 * [backup-simplify]: Simplify (+ 0 0) into 0 1.087 * [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 1.088 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0 1.090 * [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 1.090 * [taylor]: Taking taylor expansion of 0 in y 1.090 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.092 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.092 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 1.092 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log y))))) into 0 1.093 * [backup-simplify]: Simplify (* (exp (* -4/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 1.093 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow y -4/3))) into 0 1.093 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.097 * [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 1.097 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.098 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0 1.099 * [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 1.099 * [backup-simplify]: Simplify 0 into 0 1.099 * [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)))) 1.099 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) 1.099 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in (x y) around 0 1.099 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in y 1.099 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 1.099 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 1.099 * [taylor]: Taking taylor expansion of 1/3 in y 1.099 * [backup-simplify]: Simplify 1/3 into 1/3 1.099 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.099 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.099 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.099 * [taylor]: Taking taylor expansion of y in y 1.099 * [backup-simplify]: Simplify 0 into 0 1.099 * [backup-simplify]: Simplify 1 into 1 1.100 * [backup-simplify]: Simplify (* 1 1) into 1 1.100 * [backup-simplify]: Simplify (/ 1 1) into 1 1.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.100 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.100 * [taylor]: Taking taylor expansion of x in y 1.100 * [backup-simplify]: Simplify x into x 1.100 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.100 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.100 * [backup-simplify]: Simplify (+ 1 0) into 1 1.101 * [backup-simplify]: Simplify (log 1) into 0 1.101 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.101 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 1.101 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 1.101 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.101 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.101 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.101 * [taylor]: Taking taylor expansion of 1/3 in x 1.101 * [backup-simplify]: Simplify 1/3 into 1/3 1.101 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.101 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.101 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.101 * [taylor]: Taking taylor expansion of y in x 1.101 * [backup-simplify]: Simplify y into y 1.101 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.101 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.101 * [taylor]: Taking taylor expansion of x in x 1.101 * [backup-simplify]: Simplify 0 into 0 1.101 * [backup-simplify]: Simplify 1 into 1 1.102 * [backup-simplify]: Simplify (* 1 1) into 1 1.102 * [backup-simplify]: Simplify (/ 1 1) into 1 1.102 * [backup-simplify]: Simplify (+ 0 1) into 1 1.102 * [backup-simplify]: Simplify (log 1) into 0 1.103 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.103 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.103 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.103 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.103 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.103 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.103 * [taylor]: Taking taylor expansion of 1/3 in x 1.103 * [backup-simplify]: Simplify 1/3 into 1/3 1.103 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.103 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.103 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.103 * [taylor]: Taking taylor expansion of y in x 1.103 * [backup-simplify]: Simplify y into y 1.103 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.103 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.103 * [taylor]: Taking taylor expansion of x in x 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify 1 into 1 1.103 * [backup-simplify]: Simplify (* 1 1) into 1 1.104 * [backup-simplify]: Simplify (/ 1 1) into 1 1.104 * [backup-simplify]: Simplify (+ 0 1) into 1 1.104 * [backup-simplify]: Simplify (log 1) into 0 1.105 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.105 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.105 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.105 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.105 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.105 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.105 * [taylor]: Taking taylor expansion of -2/3 in y 1.105 * [backup-simplify]: Simplify -2/3 into -2/3 1.105 * [taylor]: Taking taylor expansion of (log x) in y 1.105 * [taylor]: Taking taylor expansion of x in y 1.105 * [backup-simplify]: Simplify x into x 1.105 * [backup-simplify]: Simplify (log x) into (log x) 1.105 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 1.105 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.105 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 1.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.106 * [backup-simplify]: Simplify (+ 0 0) into 0 1.107 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.107 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.107 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 1.108 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.108 * [taylor]: Taking taylor expansion of 0 in y 1.108 * [backup-simplify]: Simplify 0 into 0 1.108 * [backup-simplify]: Simplify 0 into 0 1.109 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 1.109 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 1.109 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.109 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.111 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.112 * [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)) 1.112 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.113 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 1.113 * [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)))) 1.113 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.113 * [taylor]: Taking taylor expansion of 1/3 in y 1.113 * [backup-simplify]: Simplify 1/3 into 1/3 1.113 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.113 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.113 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.113 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.113 * [taylor]: Taking taylor expansion of 1/3 in y 1.113 * [backup-simplify]: Simplify 1/3 into 1/3 1.113 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.113 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.113 * [taylor]: Taking taylor expansion of x in y 1.113 * [backup-simplify]: Simplify x into x 1.113 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.113 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.114 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 1.114 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 1.114 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 1.114 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.114 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.114 * [taylor]: Taking taylor expansion of y in y 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify 1 into 1 1.114 * [backup-simplify]: Simplify (* 1 1) into 1 1.114 * [backup-simplify]: Simplify (/ 1 1) into 1 1.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.117 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.118 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 1.118 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 1.119 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.119 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.120 * [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 1.121 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 1.122 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.122 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.123 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 1.123 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 1.124 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 1.125 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 1.126 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.126 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.128 * [backup-simplify]: Simplify (+ 0 0) into 0 1.130 * [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 1.130 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.131 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 1.132 * [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 1.132 * [taylor]: Taking taylor expansion of 0 in y 1.132 * [backup-simplify]: Simplify 0 into 0 1.132 * [backup-simplify]: Simplify 0 into 0 1.132 * [backup-simplify]: Simplify (pow (/ 1 x) -2/3) into (pow (/ 1 x) -2/3) 1.132 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) 1.132 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in (x y) around 0 1.132 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in y 1.132 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 1.132 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 1.132 * [taylor]: Taking taylor expansion of 1/3 in y 1.132 * [backup-simplify]: Simplify 1/3 into 1/3 1.132 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.132 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.133 * [taylor]: Taking taylor expansion of y in y 1.133 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify 1 into 1 1.133 * [backup-simplify]: Simplify (* 1 1) into 1 1.133 * [backup-simplify]: Simplify (/ 1 1) into 1 1.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.133 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.133 * [taylor]: Taking taylor expansion of x in y 1.133 * [backup-simplify]: Simplify x into x 1.133 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.133 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.133 * [backup-simplify]: Simplify (+ 1 0) into 1 1.134 * [backup-simplify]: Simplify (log 1) into 0 1.134 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.134 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 1.134 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 1.134 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.134 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.134 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.134 * [taylor]: Taking taylor expansion of 1/3 in x 1.134 * [backup-simplify]: Simplify 1/3 into 1/3 1.134 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.134 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.134 * [taylor]: Taking taylor expansion of y in x 1.134 * [backup-simplify]: Simplify y into y 1.134 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.134 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.135 * [taylor]: Taking taylor expansion of x in x 1.135 * [backup-simplify]: Simplify 0 into 0 1.135 * [backup-simplify]: Simplify 1 into 1 1.135 * [backup-simplify]: Simplify (* 1 1) into 1 1.135 * [backup-simplify]: Simplify (/ 1 1) into 1 1.135 * [backup-simplify]: Simplify (+ 0 1) into 1 1.136 * [backup-simplify]: Simplify (log 1) into 0 1.136 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.136 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.136 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.136 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.136 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.136 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.136 * [taylor]: Taking taylor expansion of 1/3 in x 1.136 * [backup-simplify]: Simplify 1/3 into 1/3 1.136 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.136 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.136 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.136 * [taylor]: Taking taylor expansion of y in x 1.136 * [backup-simplify]: Simplify y into y 1.136 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.136 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.136 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.136 * [taylor]: Taking taylor expansion of x in x 1.136 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify 1 into 1 1.137 * [backup-simplify]: Simplify (* 1 1) into 1 1.137 * [backup-simplify]: Simplify (/ 1 1) into 1 1.137 * [backup-simplify]: Simplify (+ 0 1) into 1 1.137 * [backup-simplify]: Simplify (log 1) into 0 1.138 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.138 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.138 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.138 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.138 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.138 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.138 * [taylor]: Taking taylor expansion of -2/3 in y 1.138 * [backup-simplify]: Simplify -2/3 into -2/3 1.138 * [taylor]: Taking taylor expansion of (log x) in y 1.138 * [taylor]: Taking taylor expansion of x in y 1.138 * [backup-simplify]: Simplify x into x 1.138 * [backup-simplify]: Simplify (log x) into (log x) 1.138 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 1.138 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.138 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 1.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.139 * [backup-simplify]: Simplify (+ 0 0) into 0 1.140 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.140 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.141 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 1.141 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.142 * [taylor]: Taking taylor expansion of 0 in y 1.142 * [backup-simplify]: Simplify 0 into 0 1.142 * [backup-simplify]: Simplify 0 into 0 1.142 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 1.143 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 1.144 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.144 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.146 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.148 * [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)) 1.148 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.149 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 1.150 * [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)))) 1.150 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.150 * [taylor]: Taking taylor expansion of 1/3 in y 1.150 * [backup-simplify]: Simplify 1/3 into 1/3 1.150 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.150 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.150 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.150 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.150 * [taylor]: Taking taylor expansion of 1/3 in y 1.150 * [backup-simplify]: Simplify 1/3 into 1/3 1.150 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.151 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.151 * [taylor]: Taking taylor expansion of x in y 1.151 * [backup-simplify]: Simplify x into x 1.151 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.151 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.151 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 1.151 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 1.151 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 1.151 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.151 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.151 * [taylor]: Taking taylor expansion of y in y 1.152 * [backup-simplify]: Simplify 0 into 0 1.152 * [backup-simplify]: Simplify 1 into 1 1.152 * [backup-simplify]: Simplify (* 1 1) into 1 1.152 * [backup-simplify]: Simplify (/ 1 1) into 1 1.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.156 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.157 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 1.158 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 1.159 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.160 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.162 * [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 1.163 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 1.165 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.166 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.166 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 1.167 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 1.168 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 1.168 * [backup-simplify]: Simplify 0 into 0 1.168 * [backup-simplify]: Simplify 0 into 0 1.170 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 1.171 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 1.172 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.172 * [backup-simplify]: Simplify 0 into 0 1.172 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.175 * [backup-simplify]: Simplify (+ 0 0) into 0 1.183 * [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 1.184 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.185 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 1.187 * [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 1.187 * [taylor]: Taking taylor expansion of 0 in y 1.187 * [backup-simplify]: Simplify 0 into 0 1.187 * [backup-simplify]: Simplify 0 into 0 1.187 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -2/3) into (pow (/ -1 x) -2/3) 1.188 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 1.188 * [backup-simplify]: Simplify (cbrt (+ (* x x) (* y y))) into (pow (+ (pow y 2) (pow x 2)) 1/3) 1.188 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in (x y) around 0 1.188 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in y 1.188 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in y 1.188 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in y 1.188 * [taylor]: Taking taylor expansion of 1/3 in y 1.188 * [backup-simplify]: Simplify 1/3 into 1/3 1.188 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in y 1.188 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 1.188 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.188 * [taylor]: Taking taylor expansion of y in y 1.188 * [backup-simplify]: Simplify 0 into 0 1.188 * [backup-simplify]: Simplify 1 into 1 1.188 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.188 * [taylor]: Taking taylor expansion of x in y 1.188 * [backup-simplify]: Simplify x into x 1.188 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.188 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 1.189 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 1.189 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 1.189 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 1.189 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in x 1.189 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in x 1.189 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in x 1.189 * [taylor]: Taking taylor expansion of 1/3 in x 1.189 * [backup-simplify]: Simplify 1/3 into 1/3 1.189 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in x 1.189 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.189 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.189 * [taylor]: Taking taylor expansion of y in x 1.189 * [backup-simplify]: Simplify y into y 1.189 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.189 * [taylor]: Taking taylor expansion of x in x 1.189 * [backup-simplify]: Simplify 0 into 0 1.189 * [backup-simplify]: Simplify 1 into 1 1.189 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.190 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.190 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 1.190 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 1.190 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 1.190 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in x 1.190 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in x 1.190 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in x 1.190 * [taylor]: Taking taylor expansion of 1/3 in x 1.190 * [backup-simplify]: Simplify 1/3 into 1/3 1.190 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in x 1.190 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.190 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.190 * [taylor]: Taking taylor expansion of y in x 1.190 * [backup-simplify]: Simplify y into y 1.190 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.190 * [taylor]: Taking taylor expansion of x in x 1.190 * [backup-simplify]: Simplify 0 into 0 1.190 * [backup-simplify]: Simplify 1 into 1 1.191 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.191 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.191 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 1.191 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 1.191 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 1.191 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.191 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.191 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.191 * [taylor]: Taking taylor expansion of 1/3 in y 1.191 * [backup-simplify]: Simplify 1/3 into 1/3 1.191 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.191 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.191 * [taylor]: Taking taylor expansion of y in y 1.191 * [backup-simplify]: Simplify 0 into 0 1.191 * [backup-simplify]: Simplify 1 into 1 1.192 * [backup-simplify]: Simplify (* 1 1) into 1 1.192 * [backup-simplify]: Simplify (log 1) into 0 1.193 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.193 * [backup-simplify]: Simplify (* 1/3 (* 2 (log y))) into (* 2/3 (log y)) 1.193 * [backup-simplify]: Simplify (exp (* 2/3 (log y))) into (pow y 2/3) 1.193 * [backup-simplify]: Simplify (pow y 2/3) into (pow y 2/3) 1.193 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.194 * [backup-simplify]: Simplify (+ 0 0) into 0 1.195 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0 1.195 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow y 2)))) into 0 1.196 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.196 * [taylor]: Taking taylor expansion of 0 in y 1.196 * [backup-simplify]: Simplify 0 into 0 1.196 * [backup-simplify]: Simplify 0 into 0 1.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.198 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.199 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.199 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log y)))) into 0 1.200 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 1.200 * [backup-simplify]: Simplify 0 into 0 1.201 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.201 * [backup-simplify]: Simplify (* 1 1) into 1 1.202 * [backup-simplify]: Simplify (+ 0 1) into 1 1.203 * [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)) 1.204 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/3 (/ 1 (pow y 2))) 1.205 * [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)) 1.206 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 1.206 * [taylor]: Taking taylor expansion of 1/3 in y 1.206 * [backup-simplify]: Simplify 1/3 into 1/3 1.206 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 1.206 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 1.206 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 1.206 * [taylor]: Taking taylor expansion of 1/3 in y 1.206 * [backup-simplify]: Simplify 1/3 into 1/3 1.206 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 1.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.206 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.206 * [taylor]: Taking taylor expansion of y in y 1.206 * [backup-simplify]: Simplify 0 into 0 1.206 * [backup-simplify]: Simplify 1 into 1 1.206 * [backup-simplify]: Simplify (* 1 1) into 1 1.207 * [backup-simplify]: Simplify (* 1 1) into 1 1.207 * [backup-simplify]: Simplify (/ 1 1) into 1 1.208 * [backup-simplify]: Simplify (log 1) into 0 1.208 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 1.208 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y)) 1.208 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3) 1.209 * [backup-simplify]: Simplify (* 1/3 (pow y -4/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.209 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.209 * [backup-simplify]: Simplify 0 into 0 1.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.213 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.214 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.215 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0 1.216 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.216 * [backup-simplify]: Simplify 0 into 0 1.217 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.218 * [backup-simplify]: Simplify (+ 0 0) into 0 1.221 * [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 1.222 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0 1.224 * [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 1.225 * [taylor]: Taking taylor expansion of 0 in y 1.225 * [backup-simplify]: Simplify 0 into 0 1.225 * [backup-simplify]: Simplify 0 into 0 1.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.228 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.229 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 1.229 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log y))))) into 0 1.230 * [backup-simplify]: Simplify (* (exp (* -4/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 1.231 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow y -4/3))) into 0 1.231 * [backup-simplify]: Simplify 0 into 0 1.231 * [backup-simplify]: Simplify 0 into 0 1.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.237 * [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 1.238 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.239 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0 1.241 * [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 1.241 * [backup-simplify]: Simplify 0 into 0 1.241 * [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)))) 1.242 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) 1.242 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in (x y) around 0 1.242 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in y 1.242 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 1.242 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 1.242 * [taylor]: Taking taylor expansion of 1/3 in y 1.242 * [backup-simplify]: Simplify 1/3 into 1/3 1.242 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.242 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.242 * [taylor]: Taking taylor expansion of y in y 1.242 * [backup-simplify]: Simplify 0 into 0 1.242 * [backup-simplify]: Simplify 1 into 1 1.243 * [backup-simplify]: Simplify (* 1 1) into 1 1.243 * [backup-simplify]: Simplify (/ 1 1) into 1 1.243 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.243 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.243 * [taylor]: Taking taylor expansion of x in y 1.243 * [backup-simplify]: Simplify x into x 1.243 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.243 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.244 * [backup-simplify]: Simplify (+ 1 0) into 1 1.244 * [backup-simplify]: Simplify (log 1) into 0 1.245 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.245 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 1.245 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 1.245 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.245 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.245 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.245 * [taylor]: Taking taylor expansion of 1/3 in x 1.245 * [backup-simplify]: Simplify 1/3 into 1/3 1.245 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.245 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.245 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.245 * [taylor]: Taking taylor expansion of y in x 1.245 * [backup-simplify]: Simplify y into y 1.245 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.245 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.245 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.245 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.245 * [taylor]: Taking taylor expansion of x in x 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [backup-simplify]: Simplify 1 into 1 1.246 * [backup-simplify]: Simplify (* 1 1) into 1 1.246 * [backup-simplify]: Simplify (/ 1 1) into 1 1.247 * [backup-simplify]: Simplify (+ 0 1) into 1 1.247 * [backup-simplify]: Simplify (log 1) into 0 1.248 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.248 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.248 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.248 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.248 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.248 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.248 * [taylor]: Taking taylor expansion of 1/3 in x 1.248 * [backup-simplify]: Simplify 1/3 into 1/3 1.248 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.248 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.248 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.248 * [taylor]: Taking taylor expansion of y in x 1.248 * [backup-simplify]: Simplify y into y 1.248 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.248 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.248 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.248 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.249 * [taylor]: Taking taylor expansion of x in x 1.249 * [backup-simplify]: Simplify 0 into 0 1.249 * [backup-simplify]: Simplify 1 into 1 1.249 * [backup-simplify]: Simplify (* 1 1) into 1 1.249 * [backup-simplify]: Simplify (/ 1 1) into 1 1.250 * [backup-simplify]: Simplify (+ 0 1) into 1 1.250 * [backup-simplify]: Simplify (log 1) into 0 1.251 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.251 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.251 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.251 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.251 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.252 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.252 * [taylor]: Taking taylor expansion of -2/3 in y 1.252 * [backup-simplify]: Simplify -2/3 into -2/3 1.252 * [taylor]: Taking taylor expansion of (log x) in y 1.252 * [taylor]: Taking taylor expansion of x in y 1.252 * [backup-simplify]: Simplify x into x 1.252 * [backup-simplify]: Simplify (log x) into (log x) 1.252 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 1.252 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.252 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 1.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.254 * [backup-simplify]: Simplify (+ 0 0) into 0 1.255 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.256 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.256 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 1.257 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.257 * [taylor]: Taking taylor expansion of 0 in y 1.257 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify 0 into 0 1.258 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 1.259 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 1.260 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.260 * [backup-simplify]: Simplify 0 into 0 1.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.262 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.264 * [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)) 1.264 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.265 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 1.266 * [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)))) 1.266 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.266 * [taylor]: Taking taylor expansion of 1/3 in y 1.266 * [backup-simplify]: Simplify 1/3 into 1/3 1.266 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.266 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.266 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.266 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.266 * [taylor]: Taking taylor expansion of 1/3 in y 1.266 * [backup-simplify]: Simplify 1/3 into 1/3 1.266 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.266 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.266 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.266 * [taylor]: Taking taylor expansion of x in y 1.266 * [backup-simplify]: Simplify x into x 1.266 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.266 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.267 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 1.267 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 1.267 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 1.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.267 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.267 * [taylor]: Taking taylor expansion of y in y 1.267 * [backup-simplify]: Simplify 0 into 0 1.267 * [backup-simplify]: Simplify 1 into 1 1.268 * [backup-simplify]: Simplify (* 1 1) into 1 1.268 * [backup-simplify]: Simplify (/ 1 1) into 1 1.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.271 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.272 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 1.273 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 1.274 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.275 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.277 * [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 1.277 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 1.279 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.280 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.280 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 1.281 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 1.282 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 1.282 * [backup-simplify]: Simplify 0 into 0 1.282 * [backup-simplify]: Simplify 0 into 0 1.284 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 1.285 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 1.286 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.286 * [backup-simplify]: Simplify 0 into 0 1.286 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.289 * [backup-simplify]: Simplify (+ 0 0) into 0 1.293 * [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 1.293 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.295 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 1.297 * [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 1.297 * [taylor]: Taking taylor expansion of 0 in y 1.297 * [backup-simplify]: Simplify 0 into 0 1.298 * [backup-simplify]: Simplify 0 into 0 1.298 * [backup-simplify]: Simplify (pow (/ 1 x) -2/3) into (pow (/ 1 x) -2/3) 1.298 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) 1.298 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in (x y) around 0 1.298 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in y 1.298 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 1.298 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 1.298 * [taylor]: Taking taylor expansion of 1/3 in y 1.298 * [backup-simplify]: Simplify 1/3 into 1/3 1.298 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.298 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.298 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.298 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.298 * [taylor]: Taking taylor expansion of y in y 1.298 * [backup-simplify]: Simplify 0 into 0 1.298 * [backup-simplify]: Simplify 1 into 1 1.299 * [backup-simplify]: Simplify (* 1 1) into 1 1.299 * [backup-simplify]: Simplify (/ 1 1) into 1 1.299 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.299 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.299 * [taylor]: Taking taylor expansion of x in y 1.299 * [backup-simplify]: Simplify x into x 1.299 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.300 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.300 * [backup-simplify]: Simplify (+ 1 0) into 1 1.300 * [backup-simplify]: Simplify (log 1) into 0 1.301 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.301 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 1.301 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 1.301 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.301 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.301 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.301 * [taylor]: Taking taylor expansion of 1/3 in x 1.301 * [backup-simplify]: Simplify 1/3 into 1/3 1.301 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.301 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.301 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.301 * [taylor]: Taking taylor expansion of y in x 1.301 * [backup-simplify]: Simplify y into y 1.301 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.302 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.302 * [taylor]: Taking taylor expansion of x in x 1.302 * [backup-simplify]: Simplify 0 into 0 1.302 * [backup-simplify]: Simplify 1 into 1 1.302 * [backup-simplify]: Simplify (* 1 1) into 1 1.303 * [backup-simplify]: Simplify (/ 1 1) into 1 1.303 * [backup-simplify]: Simplify (+ 0 1) into 1 1.303 * [backup-simplify]: Simplify (log 1) into 0 1.304 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.304 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.304 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.304 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.304 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.304 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.304 * [taylor]: Taking taylor expansion of 1/3 in x 1.304 * [backup-simplify]: Simplify 1/3 into 1/3 1.304 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.304 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.304 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.304 * [taylor]: Taking taylor expansion of y in x 1.304 * [backup-simplify]: Simplify y into y 1.304 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.305 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.305 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.305 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.305 * [taylor]: Taking taylor expansion of x in x 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify 1 into 1 1.305 * [backup-simplify]: Simplify (* 1 1) into 1 1.306 * [backup-simplify]: Simplify (/ 1 1) into 1 1.306 * [backup-simplify]: Simplify (+ 0 1) into 1 1.306 * [backup-simplify]: Simplify (log 1) into 0 1.307 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.307 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.307 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.307 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.307 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.307 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.307 * [taylor]: Taking taylor expansion of -2/3 in y 1.307 * [backup-simplify]: Simplify -2/3 into -2/3 1.307 * [taylor]: Taking taylor expansion of (log x) in y 1.307 * [taylor]: Taking taylor expansion of x in y 1.307 * [backup-simplify]: Simplify x into x 1.307 * [backup-simplify]: Simplify (log x) into (log x) 1.307 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 1.307 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.308 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 1.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.309 * [backup-simplify]: Simplify (+ 0 0) into 0 1.311 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.311 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.312 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 1.313 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.313 * [taylor]: Taking taylor expansion of 0 in y 1.313 * [backup-simplify]: Simplify 0 into 0 1.313 * [backup-simplify]: Simplify 0 into 0 1.314 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 1.314 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 1.315 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.315 * [backup-simplify]: Simplify 0 into 0 1.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.317 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.319 * [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)) 1.320 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.321 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 1.322 * [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)))) 1.322 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.322 * [taylor]: Taking taylor expansion of 1/3 in y 1.322 * [backup-simplify]: Simplify 1/3 into 1/3 1.322 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.322 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.322 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.322 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.322 * [taylor]: Taking taylor expansion of 1/3 in y 1.322 * [backup-simplify]: Simplify 1/3 into 1/3 1.322 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.322 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.322 * [taylor]: Taking taylor expansion of x in y 1.322 * [backup-simplify]: Simplify x into x 1.322 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.323 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.323 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 1.323 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 1.323 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 1.323 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.323 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.323 * [taylor]: Taking taylor expansion of y in y 1.323 * [backup-simplify]: Simplify 0 into 0 1.323 * [backup-simplify]: Simplify 1 into 1 1.324 * [backup-simplify]: Simplify (* 1 1) into 1 1.324 * [backup-simplify]: Simplify (/ 1 1) into 1 1.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.328 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.329 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 1.329 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 1.330 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.330 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.332 * [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 1.332 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 1.333 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.334 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.334 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 1.334 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 1.336 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 1.338 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 1.338 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.338 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.340 * [backup-simplify]: Simplify (+ 0 0) into 0 1.342 * [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 1.342 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.343 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 1.345 * [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 1.345 * [taylor]: Taking taylor expansion of 0 in y 1.345 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -2/3) into (pow (/ -1 x) -2/3) 1.346 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.346 * [backup-simplify]: Simplify (cbrt (+ (* x x) (* y y))) into (pow (+ (pow y 2) (pow x 2)) 1/3) 1.346 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in (x y) around 0 1.346 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in y 1.346 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in y 1.346 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in y 1.346 * [taylor]: Taking taylor expansion of 1/3 in y 1.346 * [backup-simplify]: Simplify 1/3 into 1/3 1.346 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in y 1.346 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 1.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.346 * [taylor]: Taking taylor expansion of y in y 1.346 * [backup-simplify]: Simplify 0 into 0 1.346 * [backup-simplify]: Simplify 1 into 1 1.346 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.346 * [taylor]: Taking taylor expansion of x in y 1.346 * [backup-simplify]: Simplify x into x 1.346 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.346 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 1.346 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 1.346 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 1.347 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 1.347 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in x 1.347 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in x 1.347 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in x 1.347 * [taylor]: Taking taylor expansion of 1/3 in x 1.347 * [backup-simplify]: Simplify 1/3 into 1/3 1.347 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in x 1.347 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.347 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.347 * [taylor]: Taking taylor expansion of y in x 1.347 * [backup-simplify]: Simplify y into y 1.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.347 * [taylor]: Taking taylor expansion of x in x 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify 1 into 1 1.347 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.347 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.347 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 1.347 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 1.347 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 1.347 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow x 2)) 1/3) in x 1.347 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow y 2) (pow x 2))))) in x 1.347 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow y 2) (pow x 2)))) in x 1.347 * [taylor]: Taking taylor expansion of 1/3 in x 1.347 * [backup-simplify]: Simplify 1/3 into 1/3 1.347 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow x 2))) in x 1.347 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.347 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.347 * [taylor]: Taking taylor expansion of y in x 1.347 * [backup-simplify]: Simplify y into y 1.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.347 * [taylor]: Taking taylor expansion of x in x 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify 1 into 1 1.348 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.348 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.348 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 1.348 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 1.348 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 1.348 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.348 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.348 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.348 * [taylor]: Taking taylor expansion of 1/3 in y 1.348 * [backup-simplify]: Simplify 1/3 into 1/3 1.348 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.348 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.348 * [taylor]: Taking taylor expansion of y in y 1.348 * [backup-simplify]: Simplify 0 into 0 1.348 * [backup-simplify]: Simplify 1 into 1 1.349 * [backup-simplify]: Simplify (* 1 1) into 1 1.349 * [backup-simplify]: Simplify (log 1) into 0 1.349 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.349 * [backup-simplify]: Simplify (* 1/3 (* 2 (log y))) into (* 2/3 (log y)) 1.349 * [backup-simplify]: Simplify (exp (* 2/3 (log y))) into (pow y 2/3) 1.349 * [backup-simplify]: Simplify (pow y 2/3) into (pow y 2/3) 1.349 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.350 * [backup-simplify]: Simplify (+ 0 0) into 0 1.350 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0 1.351 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow y 2)))) into 0 1.351 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.351 * [taylor]: Taking taylor expansion of 0 in y 1.351 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify 0 into 0 1.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.352 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.353 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.353 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log y)))) into 0 1.353 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 1.353 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.354 * [backup-simplify]: Simplify (* 1 1) into 1 1.354 * [backup-simplify]: Simplify (+ 0 1) into 1 1.356 * [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)) 1.356 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/3 (/ 1 (pow y 2))) 1.357 * [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)) 1.357 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 1.357 * [taylor]: Taking taylor expansion of 1/3 in y 1.357 * [backup-simplify]: Simplify 1/3 into 1/3 1.357 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 1.357 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 1.357 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 1.357 * [taylor]: Taking taylor expansion of 1/3 in y 1.357 * [backup-simplify]: Simplify 1/3 into 1/3 1.357 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 1.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.357 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.357 * [taylor]: Taking taylor expansion of y in y 1.357 * [backup-simplify]: Simplify 0 into 0 1.357 * [backup-simplify]: Simplify 1 into 1 1.357 * [backup-simplify]: Simplify (* 1 1) into 1 1.357 * [backup-simplify]: Simplify (* 1 1) into 1 1.358 * [backup-simplify]: Simplify (/ 1 1) into 1 1.358 * [backup-simplify]: Simplify (log 1) into 0 1.358 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 1.358 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y)) 1.358 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3) 1.358 * [backup-simplify]: Simplify (* 1/3 (pow y -4/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.359 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.359 * [backup-simplify]: Simplify 0 into 0 1.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.361 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.361 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.362 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0 1.363 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.364 * [backup-simplify]: Simplify 0 into 0 1.364 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.366 * [backup-simplify]: Simplify (+ 0 0) into 0 1.369 * [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 1.370 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0 1.372 * [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 1.372 * [taylor]: Taking taylor expansion of 0 in y 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify 0 into 0 1.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.376 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.376 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 1.377 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log y))))) into 0 1.378 * [backup-simplify]: Simplify (* (exp (* -4/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 1.379 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow y -4/3))) into 0 1.379 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify 0 into 0 1.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.385 * [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 1.386 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.387 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0 1.389 * [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 1.389 * [backup-simplify]: Simplify 0 into 0 1.390 * [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)))) 1.390 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) 1.390 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in (x y) around 0 1.390 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in y 1.390 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 1.390 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 1.390 * [taylor]: Taking taylor expansion of 1/3 in y 1.390 * [backup-simplify]: Simplify 1/3 into 1/3 1.390 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.390 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.390 * [taylor]: Taking taylor expansion of y in y 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 1 into 1 1.391 * [backup-simplify]: Simplify (* 1 1) into 1 1.391 * [backup-simplify]: Simplify (/ 1 1) into 1 1.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.391 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.391 * [taylor]: Taking taylor expansion of x in y 1.391 * [backup-simplify]: Simplify x into x 1.391 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.392 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.392 * [backup-simplify]: Simplify (+ 1 0) into 1 1.392 * [backup-simplify]: Simplify (log 1) into 0 1.393 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.393 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 1.393 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 1.393 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.393 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.393 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.393 * [taylor]: Taking taylor expansion of 1/3 in x 1.393 * [backup-simplify]: Simplify 1/3 into 1/3 1.393 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.393 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.393 * [taylor]: Taking taylor expansion of y in x 1.393 * [backup-simplify]: Simplify y into y 1.393 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.394 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.394 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.394 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.394 * [taylor]: Taking taylor expansion of x in x 1.394 * [backup-simplify]: Simplify 0 into 0 1.394 * [backup-simplify]: Simplify 1 into 1 1.394 * [backup-simplify]: Simplify (* 1 1) into 1 1.394 * [backup-simplify]: Simplify (/ 1 1) into 1 1.395 * [backup-simplify]: Simplify (+ 0 1) into 1 1.395 * [backup-simplify]: Simplify (log 1) into 0 1.396 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.396 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.396 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.396 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.396 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.396 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.396 * [taylor]: Taking taylor expansion of 1/3 in x 1.396 * [backup-simplify]: Simplify 1/3 into 1/3 1.396 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.396 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.396 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.396 * [taylor]: Taking taylor expansion of y in x 1.396 * [backup-simplify]: Simplify y into y 1.396 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.396 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.396 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.396 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.396 * [taylor]: Taking taylor expansion of x in x 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify 1 into 1 1.397 * [backup-simplify]: Simplify (* 1 1) into 1 1.397 * [backup-simplify]: Simplify (/ 1 1) into 1 1.398 * [backup-simplify]: Simplify (+ 0 1) into 1 1.398 * [backup-simplify]: Simplify (log 1) into 0 1.398 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.399 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.399 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.399 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.399 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.399 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.399 * [taylor]: Taking taylor expansion of -2/3 in y 1.399 * [backup-simplify]: Simplify -2/3 into -2/3 1.399 * [taylor]: Taking taylor expansion of (log x) in y 1.399 * [taylor]: Taking taylor expansion of x in y 1.399 * [backup-simplify]: Simplify x into x 1.399 * [backup-simplify]: Simplify (log x) into (log x) 1.399 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 1.399 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.399 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 1.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.401 * [backup-simplify]: Simplify (+ 0 0) into 0 1.403 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.403 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.404 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 1.404 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.404 * [taylor]: Taking taylor expansion of 0 in y 1.404 * [backup-simplify]: Simplify 0 into 0 1.405 * [backup-simplify]: Simplify 0 into 0 1.406 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 1.406 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 1.407 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.407 * [backup-simplify]: Simplify 0 into 0 1.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.409 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.411 * [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)) 1.412 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.413 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 1.414 * [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)))) 1.414 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.414 * [taylor]: Taking taylor expansion of 1/3 in y 1.414 * [backup-simplify]: Simplify 1/3 into 1/3 1.414 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.414 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.414 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.414 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.414 * [taylor]: Taking taylor expansion of 1/3 in y 1.414 * [backup-simplify]: Simplify 1/3 into 1/3 1.414 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.414 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.414 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.414 * [taylor]: Taking taylor expansion of x in y 1.414 * [backup-simplify]: Simplify x into x 1.414 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.414 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.415 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 1.415 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 1.415 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 1.415 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.415 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.415 * [taylor]: Taking taylor expansion of y in y 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify 1 into 1 1.416 * [backup-simplify]: Simplify (* 1 1) into 1 1.416 * [backup-simplify]: Simplify (/ 1 1) into 1 1.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.419 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.420 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.421 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 1.421 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 1.422 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.422 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.424 * [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 1.424 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 1.425 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.426 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.426 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 1.426 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 1.427 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 1.428 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 1.429 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.431 * [backup-simplify]: Simplify (+ 0 0) into 0 1.433 * [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 1.433 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.434 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 1.435 * [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 1.435 * [taylor]: Taking taylor expansion of 0 in y 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify (pow (/ 1 x) -2/3) into (pow (/ 1 x) -2/3) 1.436 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) 1.436 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in (x y) around 0 1.436 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in y 1.436 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 1.436 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 1.436 * [taylor]: Taking taylor expansion of 1/3 in y 1.436 * [backup-simplify]: Simplify 1/3 into 1/3 1.436 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.436 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.436 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.436 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.436 * [taylor]: Taking taylor expansion of y in y 1.436 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify 1 into 1 1.436 * [backup-simplify]: Simplify (* 1 1) into 1 1.436 * [backup-simplify]: Simplify (/ 1 1) into 1 1.436 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.436 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.436 * [taylor]: Taking taylor expansion of x in y 1.436 * [backup-simplify]: Simplify x into x 1.436 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.437 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.437 * [backup-simplify]: Simplify (+ 1 0) into 1 1.437 * [backup-simplify]: Simplify (log 1) into 0 1.437 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.437 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 1.438 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 1.438 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.438 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.438 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.438 * [taylor]: Taking taylor expansion of 1/3 in x 1.438 * [backup-simplify]: Simplify 1/3 into 1/3 1.438 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.438 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.438 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.438 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.438 * [taylor]: Taking taylor expansion of y in x 1.438 * [backup-simplify]: Simplify y into y 1.438 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.438 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.438 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.438 * [taylor]: Taking taylor expansion of x in x 1.438 * [backup-simplify]: Simplify 0 into 0 1.438 * [backup-simplify]: Simplify 1 into 1 1.438 * [backup-simplify]: Simplify (* 1 1) into 1 1.438 * [backup-simplify]: Simplify (/ 1 1) into 1 1.439 * [backup-simplify]: Simplify (+ 0 1) into 1 1.439 * [backup-simplify]: Simplify (log 1) into 0 1.439 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.439 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.439 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.439 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1/3) in x 1.439 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.439 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.439 * [taylor]: Taking taylor expansion of 1/3 in x 1.439 * [backup-simplify]: Simplify 1/3 into 1/3 1.439 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.439 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.439 * [taylor]: Taking taylor expansion of y in x 1.439 * [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 1.440 * [backup-simplify]: Simplify (* 1 1) into 1 1.440 * [backup-simplify]: Simplify (/ 1 1) into 1 1.440 * [backup-simplify]: Simplify (+ 0 1) into 1 1.441 * [backup-simplify]: Simplify (log 1) into 0 1.441 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.441 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.441 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.441 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.441 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.441 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.441 * [taylor]: Taking taylor expansion of -2/3 in y 1.441 * [backup-simplify]: Simplify -2/3 into -2/3 1.441 * [taylor]: Taking taylor expansion of (log x) in y 1.441 * [taylor]: Taking taylor expansion of x in y 1.441 * [backup-simplify]: Simplify x into x 1.441 * [backup-simplify]: Simplify (log x) into (log x) 1.441 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 1.441 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.442 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 1.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.443 * [backup-simplify]: Simplify (+ 0 0) into 0 1.443 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.444 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.444 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 1.445 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.445 * [taylor]: Taking taylor expansion of 0 in y 1.445 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 1.446 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 1.446 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.446 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.447 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.448 * [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)) 1.449 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.450 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 1.451 * [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)))) 1.451 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.451 * [taylor]: Taking taylor expansion of 1/3 in y 1.451 * [backup-simplify]: Simplify 1/3 into 1/3 1.451 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.451 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.451 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.451 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.451 * [taylor]: Taking taylor expansion of 1/3 in y 1.451 * [backup-simplify]: Simplify 1/3 into 1/3 1.451 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.451 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.451 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.451 * [taylor]: Taking taylor expansion of x in y 1.451 * [backup-simplify]: Simplify x into x 1.451 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.451 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.451 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 1.451 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 1.452 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 1.452 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.452 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.452 * [taylor]: Taking taylor expansion of y in y 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify 1 into 1 1.452 * [backup-simplify]: Simplify (* 1 1) into 1 1.453 * [backup-simplify]: Simplify (/ 1 1) into 1 1.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.456 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.456 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.457 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 1.458 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 1.459 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.459 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.463 * [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 1.466 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.467 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.468 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 1.468 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 1.469 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 1.472 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 1.473 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.476 * [backup-simplify]: Simplify (+ 0 0) into 0 1.480 * [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 1.481 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.482 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 1.485 * [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 1.485 * [taylor]: Taking taylor expansion of 0 in y 1.485 * [backup-simplify]: Simplify 0 into 0 1.485 * [backup-simplify]: Simplify 0 into 0 1.485 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -2/3) into (pow (/ -1 x) -2/3) 1.485 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.486 * [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))) 1.486 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0 1.486 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y 1.486 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 1.486 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.486 * [taylor]: Taking taylor expansion of y in y 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify 1 into 1 1.486 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.486 * [taylor]: Taking taylor expansion of x in y 1.486 * [backup-simplify]: Simplify x into x 1.486 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.486 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 1.486 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.487 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.487 * [backup-simplify]: Simplify (+ 0 0) into 0 1.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.487 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 1.487 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.487 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.487 * [taylor]: Taking taylor expansion of y in x 1.487 * [backup-simplify]: Simplify y into y 1.487 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.487 * [taylor]: Taking taylor expansion of x in x 1.487 * [backup-simplify]: Simplify 0 into 0 1.487 * [backup-simplify]: Simplify 1 into 1 1.488 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.488 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.488 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.488 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.488 * [backup-simplify]: Simplify (+ 0 0) into 0 1.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.489 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 1.489 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.489 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.489 * [taylor]: Taking taylor expansion of y in x 1.489 * [backup-simplify]: Simplify y into y 1.489 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.489 * [taylor]: Taking taylor expansion of x in x 1.489 * [backup-simplify]: Simplify 0 into 0 1.489 * [backup-simplify]: Simplify 1 into 1 1.489 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.489 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.489 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.489 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.490 * [backup-simplify]: Simplify (+ 0 0) into 0 1.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.490 * [taylor]: Taking taylor expansion of y in y 1.490 * [backup-simplify]: Simplify 0 into 0 1.490 * [backup-simplify]: Simplify 1 into 1 1.490 * [backup-simplify]: Simplify 0 into 0 1.490 * [taylor]: Taking taylor expansion of 0 in y 1.490 * [backup-simplify]: Simplify 0 into 0 1.490 * [backup-simplify]: Simplify 0 into 0 1.490 * [backup-simplify]: Simplify 1 into 1 1.491 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.491 * [backup-simplify]: Simplify (* 1 1) into 1 1.492 * [backup-simplify]: Simplify (+ 0 1) into 1 1.493 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 1.493 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.493 * [taylor]: Taking taylor expansion of 1/2 in y 1.493 * [backup-simplify]: Simplify 1/2 into 1/2 1.493 * [taylor]: Taking taylor expansion of y in y 1.493 * [backup-simplify]: Simplify 0 into 0 1.493 * [backup-simplify]: Simplify 1 into 1 1.494 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.497 * [backup-simplify]: Simplify (+ 0 0) into 0 1.497 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 1.497 * [taylor]: Taking taylor expansion of 0 in y 1.497 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify 0 into 0 1.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.499 * [backup-simplify]: Simplify 0 into 0 1.499 * [backup-simplify]: Simplify 0 into 0 1.499 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 1.500 * [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)))) 1.500 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 1.500 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.500 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.500 * [taylor]: Taking taylor expansion of y in y 1.500 * [backup-simplify]: Simplify 0 into 0 1.500 * [backup-simplify]: Simplify 1 into 1 1.500 * [backup-simplify]: Simplify (* 1 1) into 1 1.501 * [backup-simplify]: Simplify (/ 1 1) into 1 1.501 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.501 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.501 * [taylor]: Taking taylor expansion of x in y 1.501 * [backup-simplify]: Simplify x into x 1.501 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.501 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.502 * [backup-simplify]: Simplify (+ 1 0) into 1 1.502 * [backup-simplify]: Simplify (sqrt 1) into 1 1.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.504 * [backup-simplify]: Simplify (+ 0 0) into 0 1.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.505 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.505 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.505 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.505 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.505 * [taylor]: Taking taylor expansion of y in x 1.505 * [backup-simplify]: Simplify y into y 1.505 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.505 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.505 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.505 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.505 * [taylor]: Taking taylor expansion of x in x 1.505 * [backup-simplify]: Simplify 0 into 0 1.505 * [backup-simplify]: Simplify 1 into 1 1.506 * [backup-simplify]: Simplify (* 1 1) into 1 1.506 * [backup-simplify]: Simplify (/ 1 1) into 1 1.507 * [backup-simplify]: Simplify (+ 0 1) into 1 1.507 * [backup-simplify]: Simplify (sqrt 1) into 1 1.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.509 * [backup-simplify]: Simplify (+ 0 0) into 0 1.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.509 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.509 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.509 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.509 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.509 * [taylor]: Taking taylor expansion of y in x 1.509 * [backup-simplify]: Simplify y into y 1.510 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.510 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.510 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.510 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.510 * [taylor]: Taking taylor expansion of x in x 1.510 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify 1 into 1 1.510 * [backup-simplify]: Simplify (* 1 1) into 1 1.511 * [backup-simplify]: Simplify (/ 1 1) into 1 1.511 * [backup-simplify]: Simplify (+ 0 1) into 1 1.511 * [backup-simplify]: Simplify (sqrt 1) into 1 1.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.513 * [backup-simplify]: Simplify (+ 0 0) into 0 1.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.514 * [taylor]: Taking taylor expansion of 1 in y 1.514 * [backup-simplify]: Simplify 1 into 1 1.514 * [taylor]: Taking taylor expansion of 0 in y 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify 1 into 1 1.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.516 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.518 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.518 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.518 * [taylor]: Taking taylor expansion of 1/2 in y 1.518 * [backup-simplify]: Simplify 1/2 into 1/2 1.518 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.518 * [taylor]: Taking taylor expansion of y in y 1.518 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify 1 into 1 1.518 * [backup-simplify]: Simplify (* 1 1) into 1 1.519 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.520 * [backup-simplify]: Simplify 0 into 0 1.520 * [backup-simplify]: Simplify 0 into 0 1.520 * [backup-simplify]: Simplify 0 into 0 1.521 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.523 * [backup-simplify]: Simplify (+ 0 0) into 0 1.524 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.524 * [taylor]: Taking taylor expansion of 0 in y 1.524 * [backup-simplify]: Simplify 0 into 0 1.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 1.528 * [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)))) 1.528 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 1.528 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.528 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.528 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.528 * [taylor]: Taking taylor expansion of y in y 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify 1 into 1 1.528 * [backup-simplify]: Simplify (* 1 1) into 1 1.529 * [backup-simplify]: Simplify (/ 1 1) into 1 1.529 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.529 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.529 * [taylor]: Taking taylor expansion of x in y 1.529 * [backup-simplify]: Simplify x into x 1.529 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.529 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.530 * [backup-simplify]: Simplify (+ 1 0) into 1 1.530 * [backup-simplify]: Simplify (sqrt 1) into 1 1.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.532 * [backup-simplify]: Simplify (+ 0 0) into 0 1.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.532 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.533 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.533 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.533 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 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 (* 1 1) into 1 1.534 * [backup-simplify]: Simplify (/ 1 1) into 1 1.534 * [backup-simplify]: Simplify (+ 0 1) into 1 1.535 * [backup-simplify]: Simplify (sqrt 1) into 1 1.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.536 * [backup-simplify]: Simplify (+ 0 0) into 0 1.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.537 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.537 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.537 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.537 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.537 * [taylor]: Taking taylor expansion of y in x 1.537 * [backup-simplify]: Simplify y into y 1.537 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.538 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.538 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.538 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.538 * [taylor]: Taking taylor expansion of x in x 1.538 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify 1 into 1 1.538 * [backup-simplify]: Simplify (* 1 1) into 1 1.539 * [backup-simplify]: Simplify (/ 1 1) into 1 1.539 * [backup-simplify]: Simplify (+ 0 1) into 1 1.539 * [backup-simplify]: Simplify (sqrt 1) into 1 1.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.541 * [backup-simplify]: Simplify (+ 0 0) into 0 1.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.542 * [taylor]: Taking taylor expansion of 1 in y 1.542 * [backup-simplify]: Simplify 1 into 1 1.542 * [taylor]: Taking taylor expansion of 0 in y 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify 1 into 1 1.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.544 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.545 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.545 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.545 * [taylor]: Taking taylor expansion of 1/2 in y 1.546 * [backup-simplify]: Simplify 1/2 into 1/2 1.546 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.546 * [taylor]: Taking taylor expansion of y in y 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify 1 into 1 1.546 * [backup-simplify]: Simplify (* 1 1) into 1 1.546 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.548 * [backup-simplify]: Simplify 0 into 0 1.548 * [backup-simplify]: Simplify 0 into 0 1.548 * [backup-simplify]: Simplify 0 into 0 1.548 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.551 * [backup-simplify]: Simplify (+ 0 0) into 0 1.552 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.552 * [taylor]: Taking taylor expansion of 0 in y 1.552 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.554 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 1.554 * * * [progress]: simplifying candidates 1.558 * [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 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 (cbrt (+ (* x x) 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(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 (+ (* 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)))))) (* (* (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (sqrt (* (* (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (sqrt (* (* (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (+ (* (* x x) (* x 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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) 1.563 * * [simplify]: iteration 0: 164 enodes 1.617 * * [simplify]: iteration 1: 305 enodes 1.689 * * [simplify]: iteration 2: 701 enodes 2.208 * * [simplify]: iteration 3: 2997 enodes 3.233 * * [simplify]: iteration complete: 5004 enodes 3.233 * * [simplify]: Extracting #0: cost 47 inf + 0 3.233 * * [simplify]: Extracting #1: cost 83 inf + 8 3.234 * * [simplify]: Extracting #2: cost 229 inf + 28 3.241 * * [simplify]: Extracting #3: cost 1269 inf + 491 3.250 * * [simplify]: Extracting #4: cost 936 inf + 4483 3.262 * * [simplify]: Extracting #5: cost 183 inf + 8715 3.274 * * [simplify]: Extracting #6: cost 21 inf + 9827 3.286 * * [simplify]: Extracting #7: cost 1 inf + 9769 3.298 * * [simplify]: Extracting #8: cost 0 inf + 9758 3.311 * [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 y) (* x x))) (cbrt (+ (pow y 6) (pow x 6))) (cbrt (- (pow y 4) (* x (- (* x (* y y)) (pow x 3))))) (cbrt (- (pow x 4) (pow y 4))) (cbrt (* (- x y) (+ x y))) (* (cbrt (cbrt (+ (* y y) (* x x)))) (cbrt (cbrt (+ (* y y) (* x x))))) 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(pow x 6))))) (fabs (cbrt (- (pow y 4) (* x (- (* x (* y y)) (pow x 3)))))) (sqrt (* (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (pow y 6) (pow x 6)))) (cbrt (- (pow x 4) (pow y 4))))) (sqrt (* (cbrt (- (pow y 4) (* x (- (* x (* y y)) (pow x 3))))) (cbrt (* (- x y) (+ x y))))) (sqrt (* (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (pow y 6) (pow x 6)))) (cbrt (- (pow x 4) (pow y 4))))) (sqrt (* (cbrt (- (pow y 4) (* x (- (* x (* y y)) (pow x 3))))) (cbrt (* (- x y) (+ x y))))) (sqrt (* (cbrt (- (pow x 4) (pow y 4))) (* (cbrt (- (pow x 4) (pow y 4))) (cbrt (+ (* y y) (* x x)))))) (fabs (cbrt (* (- x y) (+ x y)))) (sqrt (* (cbrt (+ (* y y) (* x x))) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (pow y 6) (pow x 6)))))) (sqrt (cbrt (- (pow y 4) (* x (- (* x (* y y)) (pow x 3)))))) (sqrt (* (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))) (cbrt (- (pow x 4) (pow y 4))))) (sqrt (cbrt (* (- x y) (+ x y)))) (sqrt (* (cbrt (+ (* y y) (* x x))) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (pow y 6) (pow x 6)))))) (sqrt (cbrt (- (pow y 4) (* x (- (* x (* y y)) (pow x 3)))))) (sqrt (* (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))) (cbrt (- (pow x 4) (pow y 4))))) (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)))) (+ (* (* (cbrt (/ 1 (pow y 4))) (* 1/3 x)) x) (pow y 2/3)) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (* (* (cbrt (/ 1 (pow y 4))) (* 1/3 x)) x) (pow y 2/3)) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (* (* (cbrt (/ 1 (pow y 4))) (* 1/3 x)) x) (pow y 2/3)) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) y x (- x) 3.313 * * * [progress]: adding candidates to table 3.820 * * [progress]: iteration 3 / 4 3.820 * * * [progress]: picking best candidate 3.835 * * * * [pick]: Picked # 3.835 * * * [progress]: localizing error 3.836 * * * [progress]: generating rewritten candidates 3.837 * * * [progress]: generating series expansions 3.837 * * * [progress]: simplifying candidates 3.837 * [simplify]: Simplifying: 3.837 * * [simplify]: iteration 0: 0 enodes 3.837 * * [simplify]: iteration complete: 0 enodes 3.837 * * [simplify]: Extracting #0: cost 0 inf + 0 3.837 * [simplify]: Simplified to: 3.837 * * * [progress]: adding candidates to table 3.838 * * [progress]: iteration 4 / 4 3.838 * * * [progress]: picking best candidate 3.848 * * * * [pick]: Picked # 3.848 * * * [progress]: localizing error 3.850 * * * [progress]: generating rewritten candidates 3.850 * * * [progress]: generating series expansions 3.851 * * * [progress]: simplifying candidates 3.851 * [simplify]: Simplifying: 3.851 * * [simplify]: iteration 0: 0 enodes 3.851 * * [simplify]: iteration complete: 0 enodes 3.851 * * [simplify]: Extracting #0: cost 0 inf + 0 3.851 * [simplify]: Simplified to: 3.851 * * * [progress]: adding candidates to table 3.852 * [progress]: [Phase 3 of 3] Extracting. 3.852 * * [regime]: Finding splitpoints for: (# # # # #) 3.853 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x) 3.853 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 3.924 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 3.978 * * * * [regimes]: Trying to branch on (* x x) from (# # # # #) 4.031 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 4.088 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # # #) 4.162 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 4.188 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # # # #) 4.246 * * * * [regimes]: Trying to branch on y from (# # # # #) 4.305 * * * * [regimes]: Trying to branch on x from (# # # # #) 4.360 * * * [regime]: Found split indices: #