30.178 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.037 * [progress]: [Phase 2 of 3] Improving. 0.037 * [simplify]: Simplifying: (sqrt (+ (* x x) y)) 0.038 * * [simplify]: iteration 0: 5 enodes 0.039 * * [simplify]: iteration 1: 6 enodes 0.040 * * [simplify]: iteration complete: 6 enodes 0.040 * * [simplify]: Extracting #0: cost 1 inf + 0 0.040 * * [simplify]: Extracting #1: cost 2 inf + 0 0.040 * * [simplify]: Extracting #2: cost 4 inf + 0 0.040 * * [simplify]: Extracting #3: cost 4 inf + 1 0.040 * * [simplify]: Extracting #4: cost 3 inf + 2 0.040 * * [simplify]: Extracting #5: cost 0 inf + 247 0.040 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.041 * * [progress]: iteration 1 / 4 0.041 * * * [progress]: picking best candidate 0.047 * * * * [pick]: Picked # 0.047 * * * [progress]: localizing error 0.060 * * * [progress]: generating rewritten candidates 0.060 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.073 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.084 * * * [progress]: generating series expansions 0.085 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.085 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 0.085 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.085 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.085 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.085 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.085 * [taylor]: Taking taylor expansion of x in y 0.085 * [backup-simplify]: Simplify x into x 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.085 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.085 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.085 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.086 * [backup-simplify]: Simplify (+ 0 1) into 1 0.086 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.086 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.086 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [backup-simplify]: Simplify y into y 0.087 * [backup-simplify]: Simplify (+ 0 y) into y 0.087 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.087 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.087 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.087 * [taylor]: Taking taylor expansion of y in x 0.087 * [backup-simplify]: Simplify y into y 0.087 * [backup-simplify]: Simplify (+ 0 y) into y 0.087 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.088 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify (sqrt 0) into 0 0.090 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.090 * [backup-simplify]: Simplify (* 1 1) into 1 0.091 * [backup-simplify]: Simplify (+ 1 0) into 1 0.092 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.092 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.092 * [taylor]: Taking taylor expansion of 1/2 in y 0.092 * [backup-simplify]: Simplify 1/2 into 1/2 0.092 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.092 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (/ 1 1) into 1 0.092 * [backup-simplify]: Simplify (sqrt 0) into 0 0.094 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.095 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.095 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.095 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.098 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.099 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) 0.099 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 0.099 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.099 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.099 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.099 * [taylor]: Taking taylor expansion of x in y 0.099 * [backup-simplify]: Simplify x into x 0.099 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.100 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.100 * [taylor]: Taking taylor expansion of (/ 1 y) 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 0.100 * [backup-simplify]: Simplify (+ 0 1) into 1 0.101 * [backup-simplify]: Simplify (sqrt 0) into 0 0.102 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.102 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (* 1 1) into 1 0.103 * [backup-simplify]: Simplify (/ 1 1) into 1 0.103 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.103 * [taylor]: Taking taylor expansion of y in x 0.103 * [backup-simplify]: Simplify y into y 0.103 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.103 * [backup-simplify]: Simplify (+ 1 0) into 1 0.104 * [backup-simplify]: Simplify (sqrt 1) into 1 0.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.106 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (* 1 1) into 1 0.107 * [backup-simplify]: Simplify (/ 1 1) into 1 0.107 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.107 * [backup-simplify]: Simplify y into y 0.107 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 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 0.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.110 * [taylor]: Taking taylor expansion of 1 in y 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.113 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.113 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.113 * [taylor]: Taking taylor expansion of 1/2 in y 0.113 * [backup-simplify]: Simplify 1/2 into 1/2 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.114 * [backup-simplify]: Simplify 1/2 into 1/2 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.128 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.129 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.129 * [taylor]: Taking taylor expansion of -1/8 in y 0.129 * [backup-simplify]: Simplify -1/8 into -1/8 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.129 * [taylor]: Taking taylor expansion of y in y 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (* 1 1) into 1 0.130 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.132 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 0.133 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.133 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.133 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.133 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.133 * [taylor]: Taking taylor expansion of x in y 0.133 * [backup-simplify]: Simplify x into x 0.133 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.133 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.133 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (/ 1 1) into 1 0.134 * [backup-simplify]: Simplify (- 1) into -1 0.134 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.134 * [backup-simplify]: Simplify (sqrt 0) into 0 0.136 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.136 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.136 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.136 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (* 1 1) into 1 0.137 * [backup-simplify]: Simplify (/ 1 1) into 1 0.137 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.137 * [taylor]: Taking taylor expansion of y in x 0.137 * [backup-simplify]: Simplify y into y 0.137 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.137 * [backup-simplify]: Simplify (+ 1 0) into 1 0.137 * [backup-simplify]: Simplify (sqrt 1) into 1 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.140 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.140 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (* 1 1) into 1 0.140 * [backup-simplify]: Simplify (/ 1 1) into 1 0.141 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.141 * [taylor]: Taking taylor expansion of y in x 0.141 * [backup-simplify]: Simplify y into y 0.141 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.141 * [backup-simplify]: Simplify (+ 1 0) into 1 0.141 * [backup-simplify]: Simplify (sqrt 1) into 1 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.143 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.144 * [taylor]: Taking taylor expansion of 1 in y 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [taylor]: Taking taylor expansion of 0 in y 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.146 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.147 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.147 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.147 * [taylor]: Taking taylor expansion of -1/2 in y 0.147 * [backup-simplify]: Simplify -1/2 into -1/2 0.147 * [taylor]: Taking taylor expansion of y in y 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.147 * [backup-simplify]: Simplify -1/2 into -1/2 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.150 * [backup-simplify]: Simplify (- 0) into 0 0.150 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.151 * [taylor]: Taking taylor expansion of 0 in y 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.154 * [backup-simplify]: Simplify (- 0) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.155 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.155 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.155 * [taylor]: Taking taylor expansion of -1/8 in y 0.155 * [backup-simplify]: Simplify -1/8 into -1/8 0.155 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.155 * [taylor]: Taking taylor expansion of y in y 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (* 1 1) into 1 0.156 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.158 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.158 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.158 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.158 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.158 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.158 * [taylor]: Taking taylor expansion of x in y 0.158 * [backup-simplify]: Simplify x into x 0.158 * [taylor]: Taking taylor expansion of y in y 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [taylor]: Taking taylor expansion of y in x 0.158 * [backup-simplify]: Simplify y into y 0.159 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.159 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [taylor]: Taking taylor expansion of y in x 0.159 * [backup-simplify]: Simplify y into y 0.159 * [backup-simplify]: Simplify (+ 0 y) into y 0.159 * [taylor]: Taking taylor expansion of y in y 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [taylor]: Taking taylor expansion of 0 in y 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (* 1 1) into 1 0.160 * [backup-simplify]: Simplify (+ 1 0) into 1 0.160 * [taylor]: Taking taylor expansion of 1 in y 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [taylor]: Taking taylor expansion of 0 in y 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.162 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.162 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.162 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.162 * [taylor]: Taking taylor expansion of x in y 0.162 * [backup-simplify]: Simplify x into x 0.162 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.162 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.162 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.162 * [taylor]: Taking taylor expansion of y in y 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (/ 1 1) into 1 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.163 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (* 1 1) into 1 0.163 * [backup-simplify]: Simplify (/ 1 1) into 1 0.163 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.164 * [taylor]: Taking taylor expansion of y in x 0.164 * [backup-simplify]: Simplify y into y 0.164 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.164 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (* 1 1) into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.164 * [taylor]: Taking taylor expansion of y in x 0.164 * [backup-simplify]: Simplify y into y 0.165 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.165 * [backup-simplify]: Simplify (+ 1 0) into 1 0.165 * [taylor]: Taking taylor expansion of 1 in y 0.165 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [taylor]: Taking taylor expansion of 0 in y 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.168 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.168 * [taylor]: Taking taylor expansion of y in y 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (/ 1 1) into 1 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) 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 1)))) into 0 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.174 * [backup-simplify]: Simplify (+ 0 0) into 0 0.174 * [taylor]: Taking taylor expansion of 0 in y 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.175 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.175 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.175 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.175 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.175 * [taylor]: Taking taylor expansion of x in y 0.175 * [backup-simplify]: Simplify x into x 0.175 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.175 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.175 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.175 * [taylor]: Taking taylor expansion of y in y 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (/ 1 1) into 1 0.176 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.176 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (* 1 1) into 1 0.177 * [backup-simplify]: Simplify (/ 1 1) into 1 0.177 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [backup-simplify]: Simplify y into y 0.177 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.177 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.177 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (* 1 1) into 1 0.178 * [backup-simplify]: Simplify (/ 1 1) into 1 0.178 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.178 * [taylor]: Taking taylor expansion of y in x 0.178 * [backup-simplify]: Simplify y into y 0.178 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.178 * [backup-simplify]: Simplify (+ 1 0) into 1 0.178 * [taylor]: Taking taylor expansion of 1 in y 0.178 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.180 * [backup-simplify]: Simplify (+ 0 0) into 0 0.180 * [taylor]: Taking taylor expansion of 0 in y 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.182 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.182 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.182 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (/ 1 1) into 1 0.183 * [backup-simplify]: Simplify (- 1) into -1 0.183 * [backup-simplify]: Simplify -1 into -1 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.185 * [backup-simplify]: Simplify (- 0) into 0 0.185 * [backup-simplify]: Simplify (+ 0 0) into 0 0.185 * [taylor]: Taking taylor expansion of 0 in y 0.185 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (- 0) into 0 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.189 * [backup-simplify]: Simplify (- 0) into 0 0.189 * [backup-simplify]: Simplify (+ 0 0) into 0 0.189 * [taylor]: Taking taylor expansion of 0 in y 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.190 * * * [progress]: simplifying candidates 0.190 * [simplify]: Simplifying: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.191 * * [simplify]: iteration 0: 59 enodes 0.203 * * [simplify]: iteration 1: 154 enodes 0.274 * * [simplify]: iteration 2: 697 enodes 0.677 * * [simplify]: iteration complete: 5000 enodes 0.677 * * [simplify]: Extracting #0: cost 29 inf + 0 0.678 * * [simplify]: Extracting #1: cost 303 inf + 2 0.684 * * [simplify]: Extracting #2: cost 1664 inf + 2787 0.717 * * [simplify]: Extracting #3: cost 1097 inf + 122614 0.777 * * [simplify]: Extracting #4: cost 66 inf + 257530 0.853 * * [simplify]: Extracting #5: cost 12 inf + 269286 0.931 * * [simplify]: Extracting #6: cost 0 inf + 272562 1.009 * [simplify]: Simplified to: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (+ (* x x) y)) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (+ (* y (* y y)) (* (* (* x x) x) (* (* x x) x)))) (sqrt (+ (* (* x x) (* x x)) (* y (- y (* x x))))) (sqrt (* (+ (* x x) y) (- (* x x) y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (+ (* x x) y) (* (+ (* x x) y) (+ (* x x) y))) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (* y (* y y)) (* (* (* x x) x) (* (* x x) x))) (+ (* (* x x) (* x x)) (* y (- y (* x x)))) (* (+ (* x x) y) (- (* x x) y)) (- (* x x) y) (* +nan.0 (+ (- (* x x) y) (- (* y y)))) (+ (/ (* 1/2 y) x) x) (- (/ -1/2 (/ x y)) x) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) 1.011 * * * [progress]: adding candidates to table 1.185 * * [progress]: iteration 2 / 4 1.185 * * * [progress]: picking best candidate 1.201 * * * * [pick]: Picked # 1.202 * * * [progress]: localizing error 1.234 * * * [progress]: generating rewritten candidates 1.234 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.265 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.280 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.326 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.334 * * * [progress]: generating series expansions 1.334 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.334 * [backup-simplify]: Simplify (cbrt (* (sqrt (+ (* x x) y)) (+ (* x x) y))) into (sqrt (+ (pow x 2) y)) 1.334 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 1.334 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 1.334 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 1.334 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.334 * [taylor]: Taking taylor expansion of x in y 1.334 * [backup-simplify]: Simplify x into x 1.334 * [taylor]: Taking taylor expansion of y in y 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify 1 into 1 1.334 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.335 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.335 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.335 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.335 * [backup-simplify]: Simplify (+ 0 1) into 1 1.335 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 1.335 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 1.335 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.335 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.335 * [backup-simplify]: Simplify 0 into 0 1.335 * [backup-simplify]: Simplify 1 into 1 1.335 * [taylor]: Taking taylor expansion of y in x 1.335 * [backup-simplify]: Simplify y into y 1.336 * [backup-simplify]: Simplify (+ 0 y) into y 1.336 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 1.336 * [backup-simplify]: Simplify (+ 0 0) into 0 1.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 1.336 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 1.336 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.336 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.336 * [taylor]: Taking taylor expansion of x in x 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify 1 into 1 1.336 * [taylor]: Taking taylor expansion of y in x 1.336 * [backup-simplify]: Simplify y into y 1.336 * [backup-simplify]: Simplify (+ 0 y) into y 1.336 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 1.336 * [backup-simplify]: Simplify (+ 0 0) into 0 1.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 1.336 * [taylor]: Taking taylor expansion of (sqrt y) in y 1.336 * [taylor]: Taking taylor expansion of y in y 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify 1 into 1 1.337 * [backup-simplify]: Simplify (sqrt 0) into 0 1.338 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [taylor]: Taking taylor expansion of 0 in y 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.338 * [backup-simplify]: Simplify (* 1 1) into 1 1.338 * [backup-simplify]: Simplify (+ 1 0) into 1 1.339 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 1.339 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 1.339 * [taylor]: Taking taylor expansion of 1/2 in y 1.339 * [backup-simplify]: Simplify 1/2 into 1/2 1.339 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 1.339 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.339 * [taylor]: Taking taylor expansion of y in y 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify 1 into 1 1.339 * [backup-simplify]: Simplify (/ 1 1) into 1 1.339 * [backup-simplify]: Simplify (sqrt 0) into 0 1.340 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.341 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 1.341 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.341 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.343 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.344 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) 1.344 * [backup-simplify]: Simplify (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 1.344 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 1.344 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 1.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 1.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.344 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.344 * [taylor]: Taking taylor expansion of x in y 1.344 * [backup-simplify]: Simplify x into x 1.344 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.344 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.344 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.344 * [taylor]: Taking taylor expansion of y in y 1.344 * [backup-simplify]: Simplify 0 into 0 1.344 * [backup-simplify]: Simplify 1 into 1 1.344 * [backup-simplify]: Simplify (/ 1 1) into 1 1.345 * [backup-simplify]: Simplify (+ 0 1) into 1 1.345 * [backup-simplify]: Simplify (sqrt 0) into 0 1.346 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.346 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 1.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.346 * [taylor]: Taking taylor expansion of x in x 1.346 * [backup-simplify]: Simplify 0 into 0 1.346 * [backup-simplify]: Simplify 1 into 1 1.346 * [backup-simplify]: Simplify (* 1 1) into 1 1.346 * [backup-simplify]: Simplify (/ 1 1) into 1 1.346 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.346 * [taylor]: Taking taylor expansion of y in x 1.346 * [backup-simplify]: Simplify y into y 1.346 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.347 * [backup-simplify]: Simplify (+ 1 0) into 1 1.347 * [backup-simplify]: Simplify (sqrt 1) into 1 1.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.348 * [backup-simplify]: Simplify (+ 0 0) into 0 1.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.348 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 1.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.348 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.348 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.348 * [taylor]: Taking taylor expansion of x in x 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 (/ 1 1) into 1 1.349 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.349 * [taylor]: Taking taylor expansion of y in x 1.349 * [backup-simplify]: Simplify y into y 1.349 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.349 * [backup-simplify]: Simplify (+ 1 0) into 1 1.350 * [backup-simplify]: Simplify (sqrt 1) into 1 1.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.351 * [backup-simplify]: Simplify (+ 0 0) into 0 1.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.351 * [taylor]: Taking taylor expansion of 1 in y 1.351 * [backup-simplify]: Simplify 1 into 1 1.351 * [taylor]: Taking taylor expansion of 0 in y 1.351 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify 1 into 1 1.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.353 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.354 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 1.354 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.354 * [taylor]: Taking taylor expansion of 1/2 in y 1.354 * [backup-simplify]: Simplify 1/2 into 1/2 1.354 * [taylor]: Taking taylor expansion of y in y 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify 1 into 1 1.355 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.355 * [backup-simplify]: Simplify 1/2 into 1/2 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.357 * [backup-simplify]: Simplify (+ 0 0) into 0 1.358 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 1.358 * [taylor]: Taking taylor expansion of 0 in y 1.358 * [backup-simplify]: Simplify 0 into 0 1.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.359 * [backup-simplify]: Simplify 0 into 0 1.359 * [backup-simplify]: Simplify 0 into 0 1.359 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.364 * [backup-simplify]: Simplify (+ 0 0) into 0 1.366 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 1.366 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 1.366 * [taylor]: Taking taylor expansion of -1/8 in y 1.366 * [backup-simplify]: Simplify -1/8 into -1/8 1.366 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.366 * [taylor]: Taking taylor expansion of y in y 1.366 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify 1 into 1 1.367 * [backup-simplify]: Simplify (* 1 1) into 1 1.367 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 1.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 1.369 * [backup-simplify]: Simplify 0 into 0 1.370 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 1.370 * [backup-simplify]: Simplify (cbrt (* (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 1.370 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 1.370 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 1.370 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 1.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.370 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.370 * [taylor]: Taking taylor expansion of x in y 1.371 * [backup-simplify]: Simplify x into x 1.371 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.371 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.371 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.371 * [taylor]: Taking taylor expansion of y in y 1.371 * [backup-simplify]: Simplify 0 into 0 1.371 * [backup-simplify]: Simplify 1 into 1 1.371 * [backup-simplify]: Simplify (/ 1 1) into 1 1.372 * [backup-simplify]: Simplify (- 1) into -1 1.372 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.372 * [backup-simplify]: Simplify (sqrt 0) into 0 1.374 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.374 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 1.374 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.374 * [taylor]: Taking taylor expansion of x in x 1.374 * [backup-simplify]: Simplify 0 into 0 1.374 * [backup-simplify]: Simplify 1 into 1 1.375 * [backup-simplify]: Simplify (* 1 1) into 1 1.375 * [backup-simplify]: Simplify (/ 1 1) into 1 1.375 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.375 * [taylor]: Taking taylor expansion of y in x 1.375 * [backup-simplify]: Simplify y into y 1.375 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.376 * [backup-simplify]: Simplify (+ 1 0) into 1 1.376 * [backup-simplify]: Simplify (sqrt 1) into 1 1.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.378 * [backup-simplify]: Simplify (+ 0 0) into 0 1.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.379 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 1.379 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.379 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.379 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.379 * [taylor]: Taking taylor expansion of x in x 1.379 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify 1 into 1 1.379 * [backup-simplify]: Simplify (* 1 1) into 1 1.380 * [backup-simplify]: Simplify (/ 1 1) into 1 1.380 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.380 * [taylor]: Taking taylor expansion of y in x 1.380 * [backup-simplify]: Simplify y into y 1.380 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.380 * [backup-simplify]: Simplify (+ 1 0) into 1 1.381 * [backup-simplify]: Simplify (sqrt 1) into 1 1.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.382 * [backup-simplify]: Simplify (+ 0 0) into 0 1.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.383 * [taylor]: Taking taylor expansion of 1 in y 1.383 * [backup-simplify]: Simplify 1 into 1 1.383 * [taylor]: Taking taylor expansion of 0 in y 1.383 * [backup-simplify]: Simplify 0 into 0 1.383 * [backup-simplify]: Simplify 1 into 1 1.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.385 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 1.385 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.386 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 1.386 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 1.386 * [taylor]: Taking taylor expansion of -1/2 in y 1.386 * [backup-simplify]: Simplify -1/2 into -1/2 1.386 * [taylor]: Taking taylor expansion of y in y 1.386 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify 1 into 1 1.387 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.387 * [backup-simplify]: Simplify -1/2 into -1/2 1.387 * [backup-simplify]: Simplify 0 into 0 1.387 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.389 * [backup-simplify]: Simplify (- 0) into 0 1.390 * [backup-simplify]: Simplify (+ 0 0) into 0 1.390 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 1.390 * [taylor]: Taking taylor expansion of 0 in y 1.390 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify 0 into 0 1.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.394 * [backup-simplify]: Simplify (- 0) into 0 1.394 * [backup-simplify]: Simplify (+ 0 0) into 0 1.395 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 1.395 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 1.395 * [taylor]: Taking taylor expansion of -1/8 in y 1.395 * [backup-simplify]: Simplify -1/8 into -1/8 1.395 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.395 * [taylor]: Taking taylor expansion of y in y 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify 1 into 1 1.396 * [backup-simplify]: Simplify (* 1 1) into 1 1.396 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 1.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 1.398 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.398 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 1.398 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 1.398 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 1.398 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 1.398 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.398 * [taylor]: Taking taylor expansion of x in y 1.398 * [backup-simplify]: Simplify x into x 1.398 * [taylor]: Taking taylor expansion of y in y 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify 1 into 1 1.399 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.399 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.399 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.399 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.399 * [backup-simplify]: Simplify (+ 0 1) into 1 1.400 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 1.400 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 1.400 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.400 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.400 * [taylor]: Taking taylor expansion of x in x 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify 1 into 1 1.400 * [taylor]: Taking taylor expansion of y in x 1.400 * [backup-simplify]: Simplify y into y 1.400 * [backup-simplify]: Simplify (+ 0 y) into y 1.400 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 1.400 * [backup-simplify]: Simplify (+ 0 0) into 0 1.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 1.400 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 1.400 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.400 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.400 * [taylor]: Taking taylor expansion of x in x 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify 1 into 1 1.400 * [taylor]: Taking taylor expansion of y in x 1.400 * [backup-simplify]: Simplify y into y 1.400 * [backup-simplify]: Simplify (+ 0 y) into y 1.400 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 1.401 * [backup-simplify]: Simplify (+ 0 0) into 0 1.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 1.401 * [taylor]: Taking taylor expansion of (sqrt y) in y 1.401 * [taylor]: Taking taylor expansion of y in y 1.401 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify 1 into 1 1.401 * [backup-simplify]: Simplify (sqrt 0) into 0 1.402 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [taylor]: Taking taylor expansion of 0 in y 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.402 * [backup-simplify]: Simplify (* 1 1) into 1 1.403 * [backup-simplify]: Simplify (+ 1 0) into 1 1.403 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 1.403 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 1.403 * [taylor]: Taking taylor expansion of 1/2 in y 1.403 * [backup-simplify]: Simplify 1/2 into 1/2 1.403 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 1.403 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.403 * [taylor]: Taking taylor expansion of y in y 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify 1 into 1 1.404 * [backup-simplify]: Simplify (/ 1 1) into 1 1.404 * [backup-simplify]: Simplify (sqrt 0) into 0 1.405 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.405 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 1.406 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.406 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.407 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.408 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) 1.408 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 1.408 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 1.408 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 1.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 1.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.408 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.408 * [taylor]: Taking taylor expansion of x in y 1.408 * [backup-simplify]: Simplify x into x 1.408 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.408 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.408 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.408 * [taylor]: Taking taylor expansion of y in y 1.408 * [backup-simplify]: Simplify 0 into 0 1.408 * [backup-simplify]: Simplify 1 into 1 1.409 * [backup-simplify]: Simplify (/ 1 1) into 1 1.409 * [backup-simplify]: Simplify (+ 0 1) into 1 1.409 * [backup-simplify]: Simplify (sqrt 0) into 0 1.410 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.410 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 1.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.410 * [taylor]: Taking taylor expansion of x in x 1.410 * [backup-simplify]: Simplify 0 into 0 1.410 * [backup-simplify]: Simplify 1 into 1 1.410 * [backup-simplify]: Simplify (* 1 1) into 1 1.411 * [backup-simplify]: Simplify (/ 1 1) into 1 1.411 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.411 * [taylor]: Taking taylor expansion of y in x 1.411 * [backup-simplify]: Simplify y into y 1.411 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.411 * [backup-simplify]: Simplify (+ 1 0) into 1 1.411 * [backup-simplify]: Simplify (sqrt 1) into 1 1.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.412 * [backup-simplify]: Simplify (+ 0 0) into 0 1.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.413 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 1.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.413 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.413 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.413 * [taylor]: Taking taylor expansion of x in x 1.413 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify 1 into 1 1.413 * [backup-simplify]: Simplify (* 1 1) into 1 1.413 * [backup-simplify]: Simplify (/ 1 1) into 1 1.413 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.413 * [taylor]: Taking taylor expansion of y in x 1.413 * [backup-simplify]: Simplify y into y 1.413 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.414 * [backup-simplify]: Simplify (+ 1 0) into 1 1.414 * [backup-simplify]: Simplify (sqrt 1) into 1 1.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.415 * [backup-simplify]: Simplify (+ 0 0) into 0 1.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.415 * [taylor]: Taking taylor expansion of 1 in y 1.415 * [backup-simplify]: Simplify 1 into 1 1.415 * [taylor]: Taking taylor expansion of 0 in y 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify 1 into 1 1.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.417 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.418 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 1.418 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.418 * [taylor]: Taking taylor expansion of 1/2 in y 1.418 * [backup-simplify]: Simplify 1/2 into 1/2 1.418 * [taylor]: Taking taylor expansion of y in y 1.418 * [backup-simplify]: Simplify 0 into 0 1.418 * [backup-simplify]: Simplify 1 into 1 1.418 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.418 * [backup-simplify]: Simplify 1/2 into 1/2 1.418 * [backup-simplify]: Simplify 0 into 0 1.418 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.420 * [backup-simplify]: Simplify (+ 0 0) into 0 1.420 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 1.420 * [taylor]: Taking taylor expansion of 0 in y 1.420 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.422 * [backup-simplify]: Simplify (+ 0 0) into 0 1.423 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 1.423 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 1.423 * [taylor]: Taking taylor expansion of -1/8 in y 1.423 * [backup-simplify]: Simplify -1/8 into -1/8 1.423 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.423 * [taylor]: Taking taylor expansion of y in y 1.423 * [backup-simplify]: Simplify 0 into 0 1.423 * [backup-simplify]: Simplify 1 into 1 1.423 * [backup-simplify]: Simplify (* 1 1) into 1 1.424 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 1.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 1.424 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 1.425 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 1.425 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 1.425 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 1.425 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 1.425 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.425 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.425 * [taylor]: Taking taylor expansion of x in y 1.425 * [backup-simplify]: Simplify x into x 1.425 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.425 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.425 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.425 * [taylor]: Taking taylor expansion of y in y 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify 1 into 1 1.425 * [backup-simplify]: Simplify (/ 1 1) into 1 1.426 * [backup-simplify]: Simplify (- 1) into -1 1.426 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.426 * [backup-simplify]: Simplify (sqrt 0) into 0 1.427 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.427 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 1.427 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.427 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.427 * [taylor]: Taking taylor expansion of x in x 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify 1 into 1 1.427 * [backup-simplify]: Simplify (* 1 1) into 1 1.428 * [backup-simplify]: Simplify (/ 1 1) into 1 1.428 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.428 * [taylor]: Taking taylor expansion of y in x 1.428 * [backup-simplify]: Simplify y into y 1.428 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.428 * [backup-simplify]: Simplify (+ 1 0) into 1 1.428 * [backup-simplify]: Simplify (sqrt 1) into 1 1.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.429 * [backup-simplify]: Simplify (+ 0 0) into 0 1.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.430 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 1.430 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.430 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.430 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.430 * [taylor]: Taking taylor expansion of x in x 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify 1 into 1 1.430 * [backup-simplify]: Simplify (* 1 1) into 1 1.430 * [backup-simplify]: Simplify (/ 1 1) into 1 1.430 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.430 * [taylor]: Taking taylor expansion of y in x 1.430 * [backup-simplify]: Simplify y into y 1.430 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.431 * [backup-simplify]: Simplify (+ 1 0) into 1 1.431 * [backup-simplify]: Simplify (sqrt 1) into 1 1.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.432 * [backup-simplify]: Simplify (+ 0 0) into 0 1.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.432 * [taylor]: Taking taylor expansion of 1 in y 1.432 * [backup-simplify]: Simplify 1 into 1 1.432 * [taylor]: Taking taylor expansion of 0 in y 1.432 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify 1 into 1 1.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.434 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 1.434 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.434 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 1.434 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 1.434 * [taylor]: Taking taylor expansion of -1/2 in y 1.434 * [backup-simplify]: Simplify -1/2 into -1/2 1.434 * [taylor]: Taking taylor expansion of y in y 1.434 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify 1 into 1 1.435 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.435 * [backup-simplify]: Simplify -1/2 into -1/2 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.436 * [backup-simplify]: Simplify (- 0) into 0 1.436 * [backup-simplify]: Simplify (+ 0 0) into 0 1.437 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 1.437 * [taylor]: Taking taylor expansion of 0 in y 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify 0 into 0 1.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.439 * [backup-simplify]: Simplify (- 0) into 0 1.439 * [backup-simplify]: Simplify (+ 0 0) into 0 1.440 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 1.440 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 1.440 * [taylor]: Taking taylor expansion of -1/8 in y 1.441 * [backup-simplify]: Simplify -1/8 into -1/8 1.441 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.441 * [taylor]: Taking taylor expansion of y in y 1.441 * [backup-simplify]: Simplify 0 into 0 1.441 * [backup-simplify]: Simplify 1 into 1 1.441 * [backup-simplify]: Simplify (* 1 1) into 1 1.441 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 1.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 1.443 * [backup-simplify]: Simplify 0 into 0 1.443 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 1.443 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.443 * [backup-simplify]: Simplify (* (sqrt (+ (* x x) y)) (+ (* x x) y)) into (sqrt (pow (+ (pow x 2) y) 3)) 1.444 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (pow x 2) y) 3)) in (x y) around 0 1.444 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (pow x 2) y) 3)) in y 1.444 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 3) in y 1.444 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 1.444 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.444 * [taylor]: Taking taylor expansion of x in y 1.444 * [backup-simplify]: Simplify x into x 1.444 * [taylor]: Taking taylor expansion of y in y 1.444 * [backup-simplify]: Simplify 0 into 0 1.444 * [backup-simplify]: Simplify 1 into 1 1.444 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.444 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.444 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.444 * [backup-simplify]: Simplify (* (pow x 2) (pow x 4)) into (pow x 6) 1.444 * [backup-simplify]: Simplify (sqrt (pow x 6)) into (pow x 3) 1.445 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.445 * [backup-simplify]: Simplify (+ 0 1) into 1 1.445 * [backup-simplify]: Simplify (+ (* (pow x 2) 1) (* 1 (pow x 2))) into (* 2 (pow x 2)) 1.446 * [backup-simplify]: Simplify (+ (* (pow x 2) (* 2 (pow x 2))) (* 1 (pow x 4))) into (* 3 (pow x 4)) 1.446 * [backup-simplify]: Simplify (/ (* 3 (pow x 4)) (* 2 (sqrt (pow x 6)))) into (* 3/2 x) 1.446 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (pow x 2) y) 3)) in x 1.446 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 3) in x 1.446 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.446 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.446 * [taylor]: Taking taylor expansion of x in x 1.446 * [backup-simplify]: Simplify 0 into 0 1.446 * [backup-simplify]: Simplify 1 into 1 1.446 * [taylor]: Taking taylor expansion of y in x 1.446 * [backup-simplify]: Simplify y into y 1.446 * [backup-simplify]: Simplify (+ 0 y) into y 1.446 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.446 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 1.447 * [backup-simplify]: Simplify (sqrt (pow y 3)) into (sqrt (pow y 3)) 1.447 * [backup-simplify]: Simplify (+ 0 0) into 0 1.447 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.447 * [backup-simplify]: Simplify (+ (* y 0) (* 0 (pow y 2))) into 0 1.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 3)))) into 0 1.447 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (pow x 2) y) 3)) in x 1.447 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 3) in x 1.447 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.447 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.447 * [taylor]: Taking taylor expansion of x in x 1.447 * [backup-simplify]: Simplify 0 into 0 1.448 * [backup-simplify]: Simplify 1 into 1 1.448 * [taylor]: Taking taylor expansion of y in x 1.448 * [backup-simplify]: Simplify y into y 1.448 * [backup-simplify]: Simplify (+ 0 y) into y 1.448 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.448 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 1.448 * [backup-simplify]: Simplify (sqrt (pow y 3)) into (sqrt (pow y 3)) 1.448 * [backup-simplify]: Simplify (+ 0 0) into 0 1.448 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.449 * [backup-simplify]: Simplify (+ (* y 0) (* 0 (pow y 2))) into 0 1.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 3)))) into 0 1.449 * [taylor]: Taking taylor expansion of (sqrt (pow y 3)) in y 1.449 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.449 * [taylor]: Taking taylor expansion of y in y 1.449 * [backup-simplify]: Simplify 0 into 0 1.449 * [backup-simplify]: Simplify 1 into 1 1.449 * [backup-simplify]: Simplify (* 1 1) into 1 1.450 * [backup-simplify]: Simplify (* 1 1) into 1 1.450 * [backup-simplify]: Simplify (sqrt 0) into 0 1.451 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.451 * [taylor]: Taking taylor expansion of 0 in y 1.451 * [backup-simplify]: Simplify 0 into 0 1.451 * [backup-simplify]: Simplify 0 into 0 1.451 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify (* 1 1) into 1 1.452 * [backup-simplify]: Simplify (+ 1 0) into 1 1.453 * [backup-simplify]: Simplify (+ (* y 1) (+ (* 0 0) (* 1 y))) into (* 2 y) 1.453 * [backup-simplify]: Simplify (+ (* y (* 2 y)) (+ (* 0 0) (* 1 (pow y 2)))) into (* 3 (pow y 2)) 1.454 * [backup-simplify]: Simplify (/ (- (* 3 (pow y 2)) (pow 0 2) (+)) (* 2 (sqrt (pow y 3)))) into (* 3/2 (sqrt y)) 1.454 * [taylor]: Taking taylor expansion of (* 3/2 (sqrt y)) in y 1.454 * [taylor]: Taking taylor expansion of 3/2 in y 1.454 * [backup-simplify]: Simplify 3/2 into 3/2 1.454 * [taylor]: Taking taylor expansion of (sqrt y) in y 1.454 * [taylor]: Taking taylor expansion of y in y 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify 1 into 1 1.455 * [backup-simplify]: Simplify (sqrt 0) into 0 1.456 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.456 * [backup-simplify]: Simplify (* 3/2 0) into 0 1.456 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.457 * [backup-simplify]: Simplify (+ 0 0) into 0 1.458 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 1) (+ (* 1 0) (* 0 y)))) into 0 1.459 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 (* 2 y)) (+ (* 1 0) (* 0 (pow y 2))))) into 0 1.459 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 3/2 (sqrt y)))))) (* 2 (sqrt (pow y 3)))) into 0 1.459 * [taylor]: Taking taylor expansion of 0 in y 1.459 * [backup-simplify]: Simplify 0 into 0 1.459 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify (+ (* 3/2 +nan.0) (* 0 0)) into (- +nan.0) 1.461 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.461 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.466 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.466 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.467 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 3)) (+ (* (- +nan.0) (* y (pow x 2))) (* +nan.0 (pow (* y 1) 2)))) into (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow y 3)) (- (* +nan.0 (* (pow x 2) y))))))) 1.468 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 3)) 1.468 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 3)) in (x y) around 0 1.468 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 3)) in y 1.468 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 3) in y 1.468 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 1.468 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.468 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.468 * [taylor]: Taking taylor expansion of x in y 1.468 * [backup-simplify]: Simplify x into x 1.468 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.468 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.468 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.468 * [taylor]: Taking taylor expansion of y in y 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify 1 into 1 1.469 * [backup-simplify]: Simplify (/ 1 1) into 1 1.469 * [backup-simplify]: Simplify (+ 0 1) into 1 1.469 * [backup-simplify]: Simplify (* 1 1) into 1 1.470 * [backup-simplify]: Simplify (* 1 1) into 1 1.470 * [backup-simplify]: Simplify (sqrt 0) into 0 1.471 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.471 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 3)) in x 1.471 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 3) in x 1.471 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.471 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.471 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.471 * [taylor]: Taking taylor expansion of x in x 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify 1 into 1 1.472 * [backup-simplify]: Simplify (* 1 1) into 1 1.472 * [backup-simplify]: Simplify (/ 1 1) into 1 1.472 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.472 * [taylor]: Taking taylor expansion of y in x 1.472 * [backup-simplify]: Simplify y into y 1.472 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.473 * [backup-simplify]: Simplify (+ 1 0) into 1 1.473 * [backup-simplify]: Simplify (* 1 1) into 1 1.473 * [backup-simplify]: Simplify (* 1 1) into 1 1.474 * [backup-simplify]: Simplify (sqrt 1) into 1 1.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.475 * [backup-simplify]: Simplify (+ 0 0) into 0 1.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.477 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 3)) in x 1.477 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 3) in x 1.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.477 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.477 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.477 * [taylor]: Taking taylor expansion of x in x 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify 1 into 1 1.478 * [backup-simplify]: Simplify (* 1 1) into 1 1.478 * [backup-simplify]: Simplify (/ 1 1) into 1 1.478 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.478 * [taylor]: Taking taylor expansion of y in x 1.478 * [backup-simplify]: Simplify y into y 1.478 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.478 * [backup-simplify]: Simplify (+ 1 0) into 1 1.479 * [backup-simplify]: Simplify (* 1 1) into 1 1.479 * [backup-simplify]: Simplify (* 1 1) into 1 1.479 * [backup-simplify]: Simplify (sqrt 1) into 1 1.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.481 * [backup-simplify]: Simplify (+ 0 0) into 0 1.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.486 * [taylor]: Taking taylor expansion of 1 in y 1.486 * [backup-simplify]: Simplify 1 into 1 1.486 * [taylor]: Taking taylor expansion of 0 in y 1.486 * [backup-simplify]: Simplify 0 into 0 1.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.487 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.488 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (+ (* 0 0) (* (/ 1 y) 1))) into (* 2 (/ 1 y)) 1.488 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 y))) (+ (* 0 0) (* (/ 1 y) 1))) into (* 3 (/ 1 y)) 1.490 * [backup-simplify]: Simplify (/ (- (* 3 (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ 3/2 y) 1.490 * [taylor]: Taking taylor expansion of (/ 3/2 y) in y 1.490 * [taylor]: Taking taylor expansion of 3/2 in y 1.490 * [backup-simplify]: Simplify 3/2 into 3/2 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 (/ 3/2 1) into 3/2 1.490 * [backup-simplify]: Simplify 1 into 1 1.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.492 * [backup-simplify]: Simplify (+ 0 0) into 0 1.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 y)) (+ (* (/ 1 y) 0) (* 0 1)))) into 0 1.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 2 (/ 1 y))) (+ (* (/ 1 y) 0) (* 0 1)))) into 0 1.495 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 3/2 y))))) (* 2 1)) into 0 1.495 * [taylor]: Taking taylor expansion of 0 in y 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify 3/2 into 3/2 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.497 * [backup-simplify]: Simplify (+ 0 0) into 0 1.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 y) (/ 1 y)) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow y 2)) 1.500 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (+ (* (/ 1 y) (* 2 (/ 1 y))) (+ (* 0 0) (* 0 1))))) into (* 3 (/ 1 (pow y 2))) 1.501 * [backup-simplify]: Simplify (/ (- (* 3 (/ 1 (pow y 2))) (pow (/ 3/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ 3/8 (pow y 2)) 1.501 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 1.501 * [taylor]: Taking taylor expansion of 3/8 in y 1.501 * [backup-simplify]: Simplify 3/8 into 3/8 1.501 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.501 * [taylor]: Taking taylor expansion of y in y 1.501 * [backup-simplify]: Simplify 0 into 0 1.502 * [backup-simplify]: Simplify 1 into 1 1.502 * [backup-simplify]: Simplify (* 1 1) into 1 1.502 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 1.502 * [backup-simplify]: Simplify 3/8 into 3/8 1.503 * [backup-simplify]: Simplify (+ (* 3/8 (* (pow (/ 1 y) -2) (/ 1 x))) (+ (* 3/2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 3)))) into (+ (pow x 3) (+ (* 3/2 (* x y)) (* 3/8 (/ (pow y 2) x)))) 1.503 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (pow (- (/ 1 (pow x 2)) (/ 1 y)) 3)) 1.503 * [approximate]: Taking taylor expansion of (sqrt (pow (- (/ 1 (pow x 2)) (/ 1 y)) 3)) in (x y) around 0 1.503 * [taylor]: Taking taylor expansion of (sqrt (pow (- (/ 1 (pow x 2)) (/ 1 y)) 3)) in y 1.504 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 3) in y 1.504 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 1.504 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.504 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.504 * [taylor]: Taking taylor expansion of x in y 1.504 * [backup-simplify]: Simplify x into x 1.504 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.504 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.504 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.504 * [taylor]: Taking taylor expansion of y in y 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify 1 into 1 1.504 * [backup-simplify]: Simplify (/ 1 1) into 1 1.505 * [backup-simplify]: Simplify (- 1) into -1 1.505 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.505 * [backup-simplify]: Simplify (* -1 -1) into 1 1.506 * [backup-simplify]: Simplify (* -1 1) into -1 1.506 * [backup-simplify]: Simplify (sqrt 0) into 0 1.507 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.507 * [taylor]: Taking taylor expansion of (sqrt (pow (- (/ 1 (pow x 2)) (/ 1 y)) 3)) in x 1.507 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 3) in x 1.508 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.508 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.508 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.508 * [taylor]: Taking taylor expansion of x in x 1.508 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify 1 into 1 1.508 * [backup-simplify]: Simplify (* 1 1) into 1 1.508 * [backup-simplify]: Simplify (/ 1 1) into 1 1.508 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.508 * [taylor]: Taking taylor expansion of y in x 1.508 * [backup-simplify]: Simplify y into y 1.508 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.509 * [backup-simplify]: Simplify (+ 1 0) into 1 1.509 * [backup-simplify]: Simplify (* 1 1) into 1 1.509 * [backup-simplify]: Simplify (* 1 1) into 1 1.510 * [backup-simplify]: Simplify (sqrt 1) into 1 1.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.512 * [backup-simplify]: Simplify (+ 0 0) into 0 1.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.514 * [taylor]: Taking taylor expansion of (sqrt (pow (- (/ 1 (pow x 2)) (/ 1 y)) 3)) in x 1.514 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 3) in x 1.514 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.514 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.514 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.514 * [taylor]: Taking taylor expansion of x in x 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify 1 into 1 1.515 * [backup-simplify]: Simplify (* 1 1) into 1 1.515 * [backup-simplify]: Simplify (/ 1 1) into 1 1.515 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.515 * [taylor]: Taking taylor expansion of y in x 1.515 * [backup-simplify]: Simplify y into y 1.515 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.516 * [backup-simplify]: Simplify (+ 1 0) into 1 1.516 * [backup-simplify]: Simplify (* 1 1) into 1 1.516 * [backup-simplify]: Simplify (* 1 1) into 1 1.517 * [backup-simplify]: Simplify (sqrt 1) into 1 1.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.518 * [backup-simplify]: Simplify (+ 0 0) into 0 1.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.521 * [taylor]: Taking taylor expansion of 1 in y 1.521 * [backup-simplify]: Simplify 1 into 1 1.521 * [taylor]: Taking taylor expansion of 0 in y 1.521 * [backup-simplify]: Simplify 0 into 0 1.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.523 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 1.523 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.523 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 y))) (+ (* 0 0) (* (- (/ 1 y)) 1))) into (- (* 2 (/ 1 y))) 1.524 * [backup-simplify]: Simplify (+ (* 1 (- (* 2 (/ 1 y)))) (+ (* 0 0) (* (- (/ 1 y)) 1))) into (- (* 3 (/ 1 y))) 1.525 * [backup-simplify]: Simplify (/ (- (- (* 3 (/ 1 y))) (pow 0 2) (+)) (* 2 1)) into (/ -3/2 y) 1.525 * [taylor]: Taking taylor expansion of (/ -3/2 y) in y 1.525 * [taylor]: Taking taylor expansion of -3/2 in y 1.525 * [backup-simplify]: Simplify -3/2 into -3/2 1.525 * [taylor]: Taking taylor expansion of y in y 1.525 * [backup-simplify]: Simplify 0 into 0 1.525 * [backup-simplify]: Simplify 1 into 1 1.526 * [backup-simplify]: Simplify (/ -3/2 1) into -3/2 1.526 * [backup-simplify]: Simplify 1 into 1 1.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.528 * [backup-simplify]: Simplify (- 0) into 0 1.529 * [backup-simplify]: Simplify (+ 0 0) into 0 1.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (/ 1 y))) (+ (* (- (/ 1 y)) 0) (* 0 1)))) into 0 1.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (* 2 (/ 1 y)))) (+ (* (- (/ 1 y)) 0) (* 0 1)))) into 0 1.532 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3/2 y))))) (* 2 1)) into 0 1.532 * [taylor]: Taking taylor expansion of 0 in y 1.532 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify -3/2 into -3/2 1.532 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.535 * [backup-simplify]: Simplify (- 0) into 0 1.535 * [backup-simplify]: Simplify (+ 0 0) into 0 1.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (/ 1 y)) (- (/ 1 y))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow y 2)) 1.539 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (+ (* (- (/ 1 y)) (- (* 2 (/ 1 y)))) (+ (* 0 0) (* 0 1))))) into (* 3 (/ 1 (pow y 2))) 1.540 * [backup-simplify]: Simplify (/ (- (* 3 (/ 1 (pow y 2))) (pow (/ -3/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ 3/8 (pow y 2)) 1.540 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 1.540 * [taylor]: Taking taylor expansion of 3/8 in y 1.540 * [backup-simplify]: Simplify 3/8 into 3/8 1.540 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.541 * [taylor]: Taking taylor expansion of y in y 1.541 * [backup-simplify]: Simplify 0 into 0 1.541 * [backup-simplify]: Simplify 1 into 1 1.541 * [backup-simplify]: Simplify (* 1 1) into 1 1.541 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 1.541 * [backup-simplify]: Simplify 3/8 into 3/8 1.542 * [backup-simplify]: Simplify (+ (* 3/8 (* (pow (/ 1 (- y)) -2) (/ 1 (- x)))) (+ (* -3/2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 3)))) into (- (+ (pow x 3) (+ (* 3/2 (* x y)) (* 3/8 (/ (pow y 2) x))))) 1.543 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.543 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 1.543 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 1.543 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 1.543 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.543 * [taylor]: Taking taylor expansion of x in y 1.543 * [backup-simplify]: Simplify x into x 1.543 * [taylor]: Taking taylor expansion of y in y 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify 1 into 1 1.543 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.543 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.543 * [taylor]: Taking taylor expansion of x in x 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify 1 into 1 1.543 * [taylor]: Taking taylor expansion of y in x 1.543 * [backup-simplify]: Simplify y into y 1.543 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.543 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.543 * [taylor]: Taking taylor expansion of x in x 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify 1 into 1 1.543 * [taylor]: Taking taylor expansion of y in x 1.543 * [backup-simplify]: Simplify y into y 1.544 * [backup-simplify]: Simplify (+ 0 y) into y 1.544 * [taylor]: Taking taylor expansion of y in y 1.544 * [backup-simplify]: Simplify 0 into 0 1.544 * [backup-simplify]: Simplify 1 into 1 1.544 * [backup-simplify]: Simplify 0 into 0 1.544 * [backup-simplify]: Simplify (+ 0 0) into 0 1.544 * [taylor]: Taking taylor expansion of 0 in y 1.544 * [backup-simplify]: Simplify 0 into 0 1.544 * [backup-simplify]: Simplify 0 into 0 1.544 * [backup-simplify]: Simplify 1 into 1 1.545 * [backup-simplify]: Simplify (* 1 1) into 1 1.545 * [backup-simplify]: Simplify (+ 1 0) into 1 1.545 * [taylor]: Taking taylor expansion of 1 in y 1.545 * [backup-simplify]: Simplify 1 into 1 1.545 * [backup-simplify]: Simplify 1 into 1 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.546 * [backup-simplify]: Simplify (+ 0 0) into 0 1.546 * [taylor]: Taking taylor expansion of 0 in y 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 1.547 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 1.547 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 1.547 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 1.547 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.547 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.547 * [taylor]: Taking taylor expansion of x in y 1.547 * [backup-simplify]: Simplify x into x 1.548 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.548 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.548 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.548 * [taylor]: Taking taylor expansion of y in y 1.548 * [backup-simplify]: Simplify 0 into 0 1.548 * [backup-simplify]: Simplify 1 into 1 1.548 * [backup-simplify]: Simplify (/ 1 1) into 1 1.548 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.548 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.548 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.548 * [taylor]: Taking taylor expansion of x in x 1.548 * [backup-simplify]: Simplify 0 into 0 1.548 * [backup-simplify]: Simplify 1 into 1 1.549 * [backup-simplify]: Simplify (* 1 1) into 1 1.549 * [backup-simplify]: Simplify (/ 1 1) into 1 1.549 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.549 * [taylor]: Taking taylor expansion of y in x 1.549 * [backup-simplify]: Simplify y into y 1.549 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.549 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.549 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.549 * [taylor]: Taking taylor expansion of x in x 1.549 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify 1 into 1 1.550 * [backup-simplify]: Simplify (* 1 1) into 1 1.550 * [backup-simplify]: Simplify (/ 1 1) into 1 1.550 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.550 * [taylor]: Taking taylor expansion of y in x 1.550 * [backup-simplify]: Simplify y into y 1.550 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.551 * [backup-simplify]: Simplify (+ 1 0) into 1 1.551 * [taylor]: Taking taylor expansion of 1 in y 1.551 * [backup-simplify]: Simplify 1 into 1 1.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.553 * [backup-simplify]: Simplify (+ 0 0) into 0 1.553 * [taylor]: Taking taylor expansion of 0 in y 1.553 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify 1 into 1 1.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.554 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.554 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.554 * [taylor]: Taking taylor expansion of y in y 1.554 * [backup-simplify]: Simplify 0 into 0 1.555 * [backup-simplify]: Simplify 1 into 1 1.555 * [backup-simplify]: Simplify (/ 1 1) into 1 1.555 * [backup-simplify]: Simplify 1 into 1 1.555 * [backup-simplify]: Simplify 0 into 0 1.555 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.557 * [backup-simplify]: Simplify (+ 0 0) into 0 1.557 * [taylor]: Taking taylor expansion of 0 in y 1.557 * [backup-simplify]: Simplify 0 into 0 1.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.558 * [backup-simplify]: Simplify 0 into 0 1.558 * [backup-simplify]: Simplify 0 into 0 1.558 * [backup-simplify]: Simplify 0 into 0 1.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.561 * [backup-simplify]: Simplify (+ 0 0) into 0 1.561 * [taylor]: Taking taylor expansion of 0 in y 1.561 * [backup-simplify]: Simplify 0 into 0 1.561 * [backup-simplify]: Simplify 0 into 0 1.561 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 1.561 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 1.561 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 1.561 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 1.561 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.562 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.562 * [taylor]: Taking taylor expansion of x in y 1.562 * [backup-simplify]: Simplify x into x 1.562 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.562 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.562 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.562 * [taylor]: Taking taylor expansion of y in y 1.562 * [backup-simplify]: Simplify 0 into 0 1.562 * [backup-simplify]: Simplify 1 into 1 1.562 * [backup-simplify]: Simplify (/ 1 1) into 1 1.562 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.562 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.562 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.562 * [taylor]: Taking taylor expansion of x in x 1.562 * [backup-simplify]: Simplify 0 into 0 1.562 * [backup-simplify]: Simplify 1 into 1 1.563 * [backup-simplify]: Simplify (* 1 1) into 1 1.563 * [backup-simplify]: Simplify (/ 1 1) into 1 1.563 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.563 * [taylor]: Taking taylor expansion of y in x 1.563 * [backup-simplify]: Simplify y into y 1.563 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.563 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.563 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.563 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.563 * [taylor]: Taking taylor expansion of x in x 1.563 * [backup-simplify]: Simplify 0 into 0 1.563 * [backup-simplify]: Simplify 1 into 1 1.564 * [backup-simplify]: Simplify (* 1 1) into 1 1.564 * [backup-simplify]: Simplify (/ 1 1) into 1 1.564 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.564 * [taylor]: Taking taylor expansion of y in x 1.564 * [backup-simplify]: Simplify y into y 1.564 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.565 * [backup-simplify]: Simplify (+ 1 0) into 1 1.565 * [taylor]: Taking taylor expansion of 1 in y 1.565 * [backup-simplify]: Simplify 1 into 1 1.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.566 * [backup-simplify]: Simplify (+ 0 0) into 0 1.566 * [taylor]: Taking taylor expansion of 0 in y 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify 1 into 1 1.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.568 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 1.568 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.568 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.568 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.568 * [taylor]: Taking taylor expansion of y in y 1.568 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify 1 into 1 1.569 * [backup-simplify]: Simplify (/ 1 1) into 1 1.569 * [backup-simplify]: Simplify (- 1) into -1 1.569 * [backup-simplify]: Simplify -1 into -1 1.569 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.571 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.572 * [backup-simplify]: Simplify (- 0) into 0 1.572 * [backup-simplify]: Simplify (+ 0 0) into 0 1.572 * [taylor]: Taking taylor expansion of 0 in y 1.572 * [backup-simplify]: Simplify 0 into 0 1.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.573 * [backup-simplify]: Simplify (- 0) into 0 1.573 * [backup-simplify]: Simplify 0 into 0 1.573 * [backup-simplify]: Simplify 0 into 0 1.573 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.576 * [backup-simplify]: Simplify (- 0) into 0 1.576 * [backup-simplify]: Simplify (+ 0 0) into 0 1.576 * [taylor]: Taking taylor expansion of 0 in y 1.576 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 1.577 * * * [progress]: simplifying candidates 1.579 * [simplify]: Simplifying: (log (cbrt (* (sqrt (+ (* x x) y)) (+ (* x x) y)))) (exp (cbrt (* (sqrt (+ (* x x) y)) (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (cbrt (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (+ (pow (* x x) 3) (pow y 3)))) (cbrt (* (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (cbrt (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (- (* (* x x) (* x x)) (* y y)))) (cbrt (* (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (- (* x x) y))) (cbrt (* (sqrt (- (* (* x x) (* x x)) (* y y))) (+ (pow (* x x) 3) (pow y 3)))) (cbrt (* (sqrt (- (* x x) y)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (cbrt (* (sqrt (- (* (* x x) (* x x)) (* y y))) (- (* (* x x) (* x x)) (* y y)))) (cbrt (* (sqrt (- (* x x) y)) (- (* x x) y))) (cbrt (* (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)))) (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (cbrt (* (sqrt (+ (* x x) y)) (- (* (* x x) (* x x)) (* y y)))) (cbrt (- (* x x) y)) (cbrt (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (+ (* x x) y))) (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (cbrt (* (sqrt (- (* (* x x) (* x x)) (* y y))) (+ (* x x) y))) (cbrt (sqrt (- (* x x) y))) (* (cbrt (cbrt (* (sqrt (+ (* x x) y)) (+ (* x x) y)))) (cbrt (cbrt (* (sqrt (+ (* x x) y)) (+ (* x x) y))))) (cbrt (cbrt (* (sqrt (+ (* x x) y)) (+ (* x x) y)))) (* (* (cbrt (* (sqrt (+ (* x x) y)) (+ (* x x) y))) (cbrt (* (sqrt (+ (* x x) y)) (+ (* x x) y)))) (cbrt (* (sqrt (+ (* x x) y)) (+ (* x x) y)))) (sqrt (cbrt (* (sqrt (+ (* x x) y)) (+ (* x x) y)))) (sqrt (cbrt (* (sqrt (+ (* x x) y)) (+ (* x x) y)))) (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (+ 1/2 1) (+ (/ 1 2) 1) (* (sqrt (+ (* x x) y)) (+ (* x x) y)) (+ 1/2 1) (+ (/ 1 2) 1) (+ (log (sqrt (+ (* x x) y))) (log (+ (* x x) y))) (log (* (sqrt (+ (* x x) y)) (+ (* x x) y))) (exp (* (sqrt (+ (* x x) y)) (+ (* x x) y))) (* (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y))) (* (cbrt (* (sqrt (+ (* x x) y)) (+ (* x x) y))) (cbrt (* (sqrt (+ (* x x) y)) (+ (* x x) y)))) (cbrt (* (sqrt (+ (* x x) y)) (+ (* x x) y))) (* (* (* (sqrt (+ (* x x) y)) (+ (* x x) y)) (* (sqrt (+ (* x x) y)) (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (+ (* x x) y))) (sqrt (* (sqrt (+ (* x x) y)) (+ (* x x) y))) (sqrt (* (sqrt (+ (* x x) y)) (+ (* x x) y))) (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (+ (pow (* x x) 3) (pow y 3))) (* (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (- (* (* x x) (* x x)) (* y y))) (* (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (- (* x x) y)) (* (sqrt (- (* (* x x) (* x x)) (* y y))) (+ (pow (* x x) 3) (pow y 3))) (* (sqrt (- (* x x) y)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (* (sqrt (- (* (* x x) (* x x)) (* y y))) (- (* (* x x) (* x x)) (* y y))) (* (sqrt (- (* x x) y)) (- (* x x) y)) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (* x x)) (* (sqrt (+ (* x x) y)) y) (* (* x x) (sqrt (+ (* x x) y))) (* y (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) 1) (* (cbrt (sqrt (+ (* x x) y))) (+ (* x x) y)) (* (sqrt (cbrt (+ (* x x) y))) (+ (* x x) y)) (* (sqrt (sqrt (+ (* x x) y))) (+ (* x x) y)) (* (sqrt (+ (* x x) y)) (+ (* x x) y)) (* (sqrt (sqrt (+ (* x x) y))) (+ (* x x) y)) (* (sqrt (+ (* x x) y)) (+ (* x x) y)) (* (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3))) (* (sqrt (+ (* x x) y)) (- (* (* x x) (* x x)) (* y y))) (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (+ (* x x) y)) (* (sqrt (- (* (* x x) (* x x)) (* y y))) (+ (* x x) y)) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow y 3)) (- (* +nan.0 (* (pow x 2) y))))))) (+ (pow x 3) (+ (* 3/2 (* x y)) (* 3/8 (/ (pow y 2) x)))) (- (+ (pow x 3) (+ (* 3/2 (* x y)) (* 3/8 (/ (pow y 2) x))))) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 1.582 * * [simplify]: iteration 0: 133 enodes 1.616 * * [simplify]: iteration 1: 377 enodes 1.869 * * [simplify]: iteration 2: 2141 enodes 2.635 * * [simplify]: iteration complete: 5000 enodes 2.635 * * [simplify]: Extracting #0: cost 72 inf + 0 2.637 * * [simplify]: Extracting #1: cost 619 inf + 3 2.643 * * [simplify]: Extracting #2: cost 1636 inf + 2974 2.672 * * [simplify]: Extracting #3: cost 1464 inf + 63129 2.711 * * [simplify]: Extracting #4: cost 323 inf + 259294 2.767 * * [simplify]: Extracting #5: cost 58 inf + 323452 2.825 * * [simplify]: Extracting #6: cost 12 inf + 330085 2.881 * * [simplify]: Extracting #7: cost 0 inf + 333399 2.940 * [simplify]: Simplified to: (log (sqrt (+ y (* x x)))) (exp (sqrt (+ y (* x x)))) (cbrt (sqrt (+ y (* x x)))) (cbrt (+ y (* x x))) (cbrt (* (sqrt (+ (* (* x (* x x)) (* x (* x x))) (* (* y y) y))) (+ (* (* x (* x x)) (* x (* x x))) (* (* y y) y)))) (cbrt (* (sqrt (+ (* y (- y (* x x))) (* (* x x) (* x x)))) (+ (* y (- y (* x x))) (* (* x x) (* x x))))) (cbrt (* (* (- (* x x) y) (+ (* x x) y)) (sqrt (+ (* (* x (* x x)) (* x (* x x))) (* (* y y) y))))) (cbrt (* (- (* x x) y) (sqrt (+ (* y (- y (* x x))) (* (* x x) (* x x)))))) (cbrt (* (+ (* (* x (* x x)) (* x (* x x))) (* (* y y) y)) (sqrt (* (- (* x x) y) (+ (* x x) y))))) (cbrt (* (+ (* y (- y (* x x))) (* (* x x) (* x x))) (sqrt (- (* x x) y)))) (cbrt (* (* (- (* x x) y) (+ (* x x) y)) (sqrt (* (- (* x x) y) (+ (* x x) y))))) (cbrt (* (- (* x x) y) (sqrt (- (* x x) y)))) (cbrt (* (+ (* (* x (* x x)) (* x (* x x))) (* (* y y) y)) (sqrt (+ y (* x x))))) (cbrt (+ (* y (- y (* x x))) (* (* x x) (* x x)))) (cbrt (* (* (- (* x x) y) (+ (* x x) y)) (sqrt (+ y (* x x))))) (cbrt (- (* x x) y)) (cbrt (* (sqrt (+ (* (* x (* x x)) (* x (* x x))) (* (* y y) y))) (+ (* x x) y))) (cbrt (sqrt (+ (* y (- y (* x x))) (* (* x x) (* x x))))) (cbrt (* (sqrt (* (- (* x x) y) (+ (* x x) y))) (+ (* x x) y))) (cbrt (sqrt (- (* x x) y))) (* (cbrt (sqrt (+ y (* x x)))) (cbrt (sqrt (+ y (* x x))))) (cbrt (sqrt (+ y (* x x)))) (* (+ y (* x x)) (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (log (sqrt (+ y (* x x)))) (exp (sqrt (+ y (* x x)))) (* (cbrt (sqrt (+ y (* x x)))) (cbrt (sqrt (+ y (* x x))))) (cbrt (sqrt (+ y (* x x)))) (* (+ y (* x x)) (sqrt (+ y (* x x)))) (fabs (cbrt (+ y (* x x)))) (sqrt (cbrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) 1 (sqrt (+ y (* x x))) (sqrt (+ (* (* x (* x x)) (* x (* x x))) (* (* y y) y))) (sqrt (+ (* y (- y (* x x))) (* (* x x) (* x x)))) (sqrt (* (- (* x x) y) (+ (* x x) y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) 3/2 3/2 (* (+ y (* x x)) (sqrt (+ y (* x x)))) 3/2 3/2 (log (* (+ y (* x x)) (sqrt (+ y (* x x))))) (log (* (+ y (* x x)) (sqrt (+ y (* x x))))) (exp (* (+ y (* x x)) (sqrt (+ y (* x x))))) (* (+ y (* x x)) (* (sqrt (+ y (* x x))) (* (* (sqrt (+ y (* x x))) (+ y (* x x))) (* (sqrt (+ y (* x x))) (+ y (* x x)))))) (+ y (* x x)) (sqrt (+ y (* x x))) (* (+ y (* x x)) (* (sqrt (+ y (* x x))) (* (* (sqrt (+ y (* x x))) (+ y (* x x))) (* (sqrt (+ y (* x x))) (+ y (* x x)))))) (sqrt (* (+ y (* x x)) (sqrt (+ y (* x x))))) (sqrt (* (+ y (* x x)) (sqrt (+ y (* x x))))) (* (sqrt (+ (* (* x (* x x)) (* x (* x x))) (* (* y y) y))) (+ (* (* x (* x x)) (* x (* x x))) (* (* y y) y))) (* (sqrt (+ (* y (- y (* x x))) (* (* x x) (* x x)))) (+ (* y (- y (* x x))) (* (* x x) (* x x)))) (* (* (- (* x x) y) (+ (* x x) y)) (sqrt (+ (* (* x (* x x)) (* x (* x x))) (* (* y y) y)))) (* (- (* x x) y) (sqrt (+ (* y (- y (* x x))) (* (* x x) (* x x))))) (* (+ (* (* x (* x x)) (* x (* x x))) (* (* y y) y)) (sqrt (* (- (* x x) y) (+ (* x x) y)))) (* (+ (* y (- y (* x x))) (* (* x x) (* x x))) (sqrt (- (* x x) y))) (* (* (- (* x x) y) (+ (* x x) y)) (sqrt (* (- (* x x) y) (+ (* x x) y)))) (* (- (* x x) y) (sqrt (- (* x x) y))) (* (sqrt (+ y (* x x))) (sqrt (sqrt (+ y (* x x))))) (* (sqrt (+ y (* x x))) (sqrt (sqrt (+ y (* x x))))) (* (sqrt (+ y (* x x))) (sqrt (sqrt (+ y (* x x))))) (* (sqrt (+ y (* x x))) (sqrt (sqrt (+ y (* x x))))) (* (* x x) (sqrt (+ y (* x x)))) (* (sqrt (+ y (* x x))) y) (* (* x x) (sqrt (+ y (* x x)))) (* (sqrt (+ y (* x x))) y) (* (cbrt (+ y (* x x))) (* (sqrt (+ y (* x x))) (cbrt (+ y (* x x))))) (+ y (* x x)) (sqrt (+ y (* x x))) (* (cbrt (sqrt (+ y (* x x)))) (+ y (* x x))) (* (+ y (* x x)) (sqrt (cbrt (+ y (* x x))))) (* (sqrt (sqrt (+ y (* x x)))) (+ y (* x x))) (* (+ y (* x x)) (sqrt (+ y (* x x)))) (* (sqrt (sqrt (+ y (* x x)))) (+ y (* x x))) (* (+ y (* x x)) (sqrt (+ y (* x x)))) (* (+ (* (* x (* x x)) (* x (* x x))) (* (* y y) y)) (sqrt (+ y (* x x)))) (* (* (- (* x x) y) (+ (* x x) y)) (sqrt (+ y (* x x)))) (* (sqrt (+ (* (* x (* x x)) (* x (* x x))) (* (* y y) y))) (+ (* x x) y)) (* (sqrt (* (- (* x x) y) (+ (* x x) y))) (+ (* x x) y)) (exp (+ (* x x) y)) (log (+ y (* x x))) (exp (+ y (* x x))) (* (cbrt (+ y (* x x))) (cbrt (+ y (* x x)))) (cbrt (+ y (* x x))) (* (+ y (* x x)) (* (+ y (* x x)) (+ y (* x x)))) (sqrt (+ y (* x x))) (sqrt (+ y (* x x))) (+ (* (* x (* x x)) (* x (* x x))) (* (* y y) y)) (+ (* y (- y (* x x))) (* (* x x) (* x x))) (* (- (* x x) y) (+ (* x x) y)) (- (* x x) y) (+ (* +nan.0 (- (* x x) y)) (* +nan.0 (- (* y y)))) (+ x (/ 1/2 (/ x y))) (+ (- x) (/ -1/2 (/ x y))) (+ (* +nan.0 (- (* x x) y)) (* +nan.0 (- (* y y)))) (+ x (/ 1/2 (/ x y))) (+ (- x) (/ -1/2 (/ x y))) (+ (* +nan.0 (- (* (* y y) y) (* (* x x) y))) (* +nan.0 (- (* y y)))) (+ (* x (* x x)) (+ (/ (* 3/8 (* y y)) x) (* 3/2 (* x y)))) (- (+ (* x (* x x)) (+ (/ (* 3/8 (* y y)) x) (* 3/2 (* x y))))) (+ y (* x x)) (+ y (* x x)) (+ y (* x x)) 2.946 * * * [progress]: adding candidates to table 3.347 * * [progress]: iteration 3 / 4 3.348 * * * [progress]: picking best candidate 3.358 * * * * [pick]: Picked # 3.358 * * * [progress]: localizing error 3.373 * * * [progress]: generating rewritten candidates 3.373 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 3.390 * * * [progress]: generating series expansions 3.390 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 3.390 * [backup-simplify]: Simplify (/ -1/2 (/ x y)) into (* -1/2 (/ y x)) 3.390 * [approximate]: Taking taylor expansion of (* -1/2 (/ y x)) in (x y) around 0 3.390 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 3.390 * [taylor]: Taking taylor expansion of -1/2 in y 3.390 * [backup-simplify]: Simplify -1/2 into -1/2 3.390 * [taylor]: Taking taylor expansion of (/ y x) in y 3.390 * [taylor]: Taking taylor expansion of y in y 3.390 * [backup-simplify]: Simplify 0 into 0 3.390 * [backup-simplify]: Simplify 1 into 1 3.390 * [taylor]: Taking taylor expansion of x in y 3.390 * [backup-simplify]: Simplify x into x 3.390 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.390 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 3.390 * [taylor]: Taking taylor expansion of -1/2 in x 3.390 * [backup-simplify]: Simplify -1/2 into -1/2 3.390 * [taylor]: Taking taylor expansion of (/ y x) in x 3.390 * [taylor]: Taking taylor expansion of y in x 3.391 * [backup-simplify]: Simplify y into y 3.391 * [taylor]: Taking taylor expansion of x in x 3.391 * [backup-simplify]: Simplify 0 into 0 3.391 * [backup-simplify]: Simplify 1 into 1 3.391 * [backup-simplify]: Simplify (/ y 1) into y 3.391 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 3.391 * [taylor]: Taking taylor expansion of -1/2 in x 3.391 * [backup-simplify]: Simplify -1/2 into -1/2 3.391 * [taylor]: Taking taylor expansion of (/ y x) in x 3.391 * [taylor]: Taking taylor expansion of y in x 3.391 * [backup-simplify]: Simplify y into y 3.391 * [taylor]: Taking taylor expansion of x in x 3.391 * [backup-simplify]: Simplify 0 into 0 3.391 * [backup-simplify]: Simplify 1 into 1 3.391 * [backup-simplify]: Simplify (/ y 1) into y 3.391 * [backup-simplify]: Simplify (* -1/2 y) into (* -1/2 y) 3.391 * [taylor]: Taking taylor expansion of (* -1/2 y) in y 3.391 * [taylor]: Taking taylor expansion of -1/2 in y 3.391 * [backup-simplify]: Simplify -1/2 into -1/2 3.391 * [taylor]: Taking taylor expansion of y in y 3.391 * [backup-simplify]: Simplify 0 into 0 3.391 * [backup-simplify]: Simplify 1 into 1 3.392 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 3.392 * [backup-simplify]: Simplify -1/2 into -1/2 3.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 3.393 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 y)) into 0 3.393 * [taylor]: Taking taylor expansion of 0 in y 3.394 * [backup-simplify]: Simplify 0 into 0 3.394 * [backup-simplify]: Simplify 0 into 0 3.394 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.394 * [backup-simplify]: Simplify 0 into 0 3.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.396 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 y))) into 0 3.396 * [taylor]: Taking taylor expansion of 0 in y 3.396 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.398 * [backup-simplify]: Simplify 0 into 0 3.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.400 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.400 * [taylor]: Taking taylor expansion of 0 in y 3.400 * [backup-simplify]: Simplify 0 into 0 3.400 * [backup-simplify]: Simplify 0 into 0 3.400 * [backup-simplify]: Simplify (* -1/2 (* y (/ 1 x))) into (* -1/2 (/ y x)) 3.401 * [backup-simplify]: Simplify (/ -1/2 (/ (/ 1 x) (/ 1 y))) into (* -1/2 (/ x y)) 3.401 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (x y) around 0 3.401 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 3.401 * [taylor]: Taking taylor expansion of -1/2 in y 3.401 * [backup-simplify]: Simplify -1/2 into -1/2 3.401 * [taylor]: Taking taylor expansion of (/ x y) in y 3.401 * [taylor]: Taking taylor expansion of x in y 3.401 * [backup-simplify]: Simplify x into x 3.401 * [taylor]: Taking taylor expansion of y in y 3.401 * [backup-simplify]: Simplify 0 into 0 3.401 * [backup-simplify]: Simplify 1 into 1 3.401 * [backup-simplify]: Simplify (/ x 1) into x 3.401 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 3.401 * [taylor]: Taking taylor expansion of -1/2 in x 3.401 * [backup-simplify]: Simplify -1/2 into -1/2 3.401 * [taylor]: Taking taylor expansion of (/ x y) in x 3.401 * [taylor]: Taking taylor expansion of x in x 3.401 * [backup-simplify]: Simplify 0 into 0 3.401 * [backup-simplify]: Simplify 1 into 1 3.401 * [taylor]: Taking taylor expansion of y in x 3.401 * [backup-simplify]: Simplify y into y 3.401 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.401 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 3.401 * [taylor]: Taking taylor expansion of -1/2 in x 3.401 * [backup-simplify]: Simplify -1/2 into -1/2 3.401 * [taylor]: Taking taylor expansion of (/ x y) in x 3.401 * [taylor]: Taking taylor expansion of x in x 3.401 * [backup-simplify]: Simplify 0 into 0 3.401 * [backup-simplify]: Simplify 1 into 1 3.401 * [taylor]: Taking taylor expansion of y in x 3.401 * [backup-simplify]: Simplify y into y 3.401 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.401 * [backup-simplify]: Simplify (* -1/2 (/ 1 y)) into (/ -1/2 y) 3.402 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 3.402 * [taylor]: Taking taylor expansion of -1/2 in y 3.402 * [backup-simplify]: Simplify -1/2 into -1/2 3.402 * [taylor]: Taking taylor expansion of y in y 3.402 * [backup-simplify]: Simplify 0 into 0 3.402 * [backup-simplify]: Simplify 1 into 1 3.402 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.402 * [backup-simplify]: Simplify -1/2 into -1/2 3.402 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 3.403 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ 1 y))) into 0 3.403 * [taylor]: Taking taylor expansion of 0 in y 3.403 * [backup-simplify]: Simplify 0 into 0 3.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 3.404 * [backup-simplify]: Simplify 0 into 0 3.404 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.404 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 3.405 * [taylor]: Taking taylor expansion of 0 in y 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.405 * [backup-simplify]: Simplify 0 into 0 3.406 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.407 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 3.407 * [taylor]: Taking taylor expansion of 0 in y 3.407 * [backup-simplify]: Simplify 0 into 0 3.407 * [backup-simplify]: Simplify 0 into 0 3.407 * [backup-simplify]: Simplify 0 into 0 3.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.408 * [backup-simplify]: Simplify 0 into 0 3.408 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) into (* -1/2 (/ y x)) 3.408 * [backup-simplify]: Simplify (/ -1/2 (/ (/ 1 (- x)) (/ 1 (- y)))) into (* -1/2 (/ x y)) 3.408 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (x y) around 0 3.408 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 3.408 * [taylor]: Taking taylor expansion of -1/2 in y 3.408 * [backup-simplify]: Simplify -1/2 into -1/2 3.408 * [taylor]: Taking taylor expansion of (/ x y) in y 3.408 * [taylor]: Taking taylor expansion of x in y 3.408 * [backup-simplify]: Simplify x into x 3.408 * [taylor]: Taking taylor expansion of y in y 3.408 * [backup-simplify]: Simplify 0 into 0 3.408 * [backup-simplify]: Simplify 1 into 1 3.408 * [backup-simplify]: Simplify (/ x 1) into x 3.408 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 3.409 * [taylor]: Taking taylor expansion of -1/2 in x 3.409 * [backup-simplify]: Simplify -1/2 into -1/2 3.409 * [taylor]: Taking taylor expansion of (/ x y) in x 3.409 * [taylor]: Taking taylor expansion of x in x 3.409 * [backup-simplify]: Simplify 0 into 0 3.409 * [backup-simplify]: Simplify 1 into 1 3.409 * [taylor]: Taking taylor expansion of y in x 3.409 * [backup-simplify]: Simplify y into y 3.409 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.409 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 3.409 * [taylor]: Taking taylor expansion of -1/2 in x 3.409 * [backup-simplify]: Simplify -1/2 into -1/2 3.409 * [taylor]: Taking taylor expansion of (/ x y) in x 3.409 * [taylor]: Taking taylor expansion of x in x 3.409 * [backup-simplify]: Simplify 0 into 0 3.409 * [backup-simplify]: Simplify 1 into 1 3.409 * [taylor]: Taking taylor expansion of y in x 3.409 * [backup-simplify]: Simplify y into y 3.409 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.409 * [backup-simplify]: Simplify (* -1/2 (/ 1 y)) into (/ -1/2 y) 3.409 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 3.409 * [taylor]: Taking taylor expansion of -1/2 in y 3.409 * [backup-simplify]: Simplify -1/2 into -1/2 3.409 * [taylor]: Taking taylor expansion of y in y 3.409 * [backup-simplify]: Simplify 0 into 0 3.409 * [backup-simplify]: Simplify 1 into 1 3.410 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.410 * [backup-simplify]: Simplify -1/2 into -1/2 3.410 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 3.410 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ 1 y))) into 0 3.410 * [taylor]: Taking taylor expansion of 0 in y 3.410 * [backup-simplify]: Simplify 0 into 0 3.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 3.411 * [backup-simplify]: Simplify 0 into 0 3.411 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.412 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 3.412 * [taylor]: Taking taylor expansion of 0 in y 3.412 * [backup-simplify]: Simplify 0 into 0 3.412 * [backup-simplify]: Simplify 0 into 0 3.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.413 * [backup-simplify]: Simplify 0 into 0 3.413 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.414 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 3.414 * [taylor]: Taking taylor expansion of 0 in y 3.414 * [backup-simplify]: Simplify 0 into 0 3.414 * [backup-simplify]: Simplify 0 into 0 3.414 * [backup-simplify]: Simplify 0 into 0 3.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.415 * [backup-simplify]: Simplify 0 into 0 3.416 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) into (* -1/2 (/ y x)) 3.416 * * * [progress]: simplifying candidates 3.417 * [simplify]: Simplifying: (- (log -1/2) (- (log x) (log y))) (- (log -1/2) (log (/ x y))) (log (/ -1/2 (/ x y))) (exp (/ -1/2 (/ x y))) (/ (* (* -1/2 -1/2) -1/2) (/ (* (* x x) x) (* (* y y) y))) (/ (* (* -1/2 -1/2) -1/2) (* (* (/ x y) (/ x y)) (/ x y))) (* (cbrt (/ -1/2 (/ x y))) (cbrt (/ -1/2 (/ x y)))) (cbrt (/ -1/2 (/ x y))) (* (* (/ -1/2 (/ x y)) (/ -1/2 (/ x y))) (/ -1/2 (/ x y))) (sqrt (/ -1/2 (/ x y))) (sqrt (/ -1/2 (/ x y))) (- -1/2) (- (/ x y)) (/ (* (cbrt -1/2) (cbrt -1/2)) (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ (cbrt -1/2) (cbrt (/ x y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (sqrt (/ x y))) (/ (cbrt -1/2) (sqrt (/ x y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ (cbrt -1/2) (/ (cbrt x) (cbrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ (cbrt -1/2) (/ (cbrt x) (sqrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (* (cbrt x) (cbrt x)) 1)) (/ (cbrt -1/2) (/ (cbrt x) y)) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ (cbrt -1/2) (/ (sqrt x) (cbrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (sqrt x) (sqrt y))) (/ (cbrt -1/2) (/ (sqrt x) (sqrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (sqrt x) 1)) (/ (cbrt -1/2) (/ (sqrt x) y)) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt -1/2) (/ x (cbrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ 1 (sqrt y))) (/ (cbrt -1/2) (/ x (sqrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ 1 1)) (/ (cbrt -1/2) (/ x y)) (/ (* (cbrt -1/2) (cbrt -1/2)) 1) (/ (cbrt -1/2) (/ x y)) (/ (* (cbrt -1/2) (cbrt -1/2)) x) (/ (cbrt -1/2) (/ 1 y)) (/ (sqrt -1/2) (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ (sqrt -1/2) (cbrt (/ x y))) (/ (sqrt -1/2) (sqrt (/ x y))) (/ (sqrt -1/2) (sqrt (/ x y))) (/ (sqrt -1/2) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ (sqrt -1/2) (/ (cbrt x) (cbrt y))) (/ (sqrt -1/2) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ (sqrt -1/2) (/ (cbrt x) (sqrt y))) (/ (sqrt -1/2) (/ (* (cbrt x) (cbrt x)) 1)) (/ (sqrt -1/2) (/ (cbrt x) y)) (/ (sqrt -1/2) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ (sqrt -1/2) (/ (sqrt x) (cbrt y))) (/ (sqrt -1/2) (/ (sqrt x) (sqrt y))) (/ (sqrt -1/2) (/ (sqrt x) (sqrt y))) (/ (sqrt -1/2) (/ (sqrt x) 1)) (/ (sqrt -1/2) (/ (sqrt x) y)) (/ (sqrt -1/2) (/ 1 (* (cbrt y) (cbrt y)))) (/ (sqrt -1/2) (/ x (cbrt y))) (/ (sqrt -1/2) (/ 1 (sqrt y))) (/ (sqrt -1/2) (/ x (sqrt y))) (/ (sqrt -1/2) (/ 1 1)) (/ (sqrt -1/2) (/ x y)) (/ (sqrt -1/2) 1) (/ (sqrt -1/2) (/ x y)) (/ (sqrt -1/2) x) (/ (sqrt -1/2) (/ 1 y)) (/ 1 (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ -1/2 (cbrt (/ x y))) (/ 1 (sqrt (/ x y))) (/ -1/2 (sqrt (/ x y))) (/ 1 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ -1/2 (/ (cbrt x) (cbrt y))) (/ 1 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ -1/2 (/ (cbrt x) (sqrt y))) (/ 1 (/ (* (cbrt x) (cbrt x)) 1)) (/ -1/2 (/ (cbrt x) y)) (/ 1 (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ -1/2 (/ (sqrt x) (cbrt y))) (/ 1 (/ (sqrt x) (sqrt y))) (/ -1/2 (/ (sqrt x) (sqrt y))) (/ 1 (/ (sqrt x) 1)) (/ -1/2 (/ (sqrt x) y)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ -1/2 (/ x (cbrt y))) (/ 1 (/ 1 (sqrt y))) (/ -1/2 (/ x (sqrt y))) (/ 1 (/ 1 1)) (/ -1/2 (/ x y)) (/ 1 1) (/ -1/2 (/ x y)) (/ 1 x) (/ -1/2 (/ 1 y)) (/ 1 (/ x y)) (/ (/ x y) -1/2) (/ -1/2 (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ -1/2 (sqrt (/ x y))) (/ -1/2 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ -1/2 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ -1/2 (/ (* (cbrt x) (cbrt x)) 1)) (/ -1/2 (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ -1/2 (/ (sqrt x) (sqrt y))) (/ -1/2 (/ (sqrt x) 1)) (/ -1/2 (/ 1 (* (cbrt y) (cbrt y)))) (/ -1/2 (/ 1 (sqrt y))) (/ -1/2 (/ 1 1)) (/ -1/2 1) (/ -1/2 x) (/ (/ x y) (cbrt -1/2)) (/ (/ x y) (sqrt -1/2)) (/ (/ x y) -1/2) (/ -1/2 x) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (* -1/2 (/ y x)) 3.419 * * [simplify]: iteration 0: 150 enodes 3.469 * * [simplify]: iteration 1: 378 enodes 3.610 * * [simplify]: iteration 2: 1531 enodes 4.140 * * [simplify]: iteration complete: 5001 enodes 4.141 * * [simplify]: Extracting #0: cost 93 inf + 0 4.152 * * [simplify]: Extracting #1: cost 1183 inf + 3 4.165 * * [simplify]: Extracting #2: cost 1299 inf + 37341 4.208 * * [simplify]: Extracting #3: cost 424 inf + 195103 4.279 * * [simplify]: Extracting #4: cost 27 inf + 283980 4.343 * * [simplify]: Extracting #5: cost 2 inf + 290318 4.392 * * [simplify]: Extracting #6: cost 0 inf + 290935 4.438 * [simplify]: Simplified to: (log (/ (* y -1/2) x)) (log (/ (* y -1/2) x)) (log (/ (* y -1/2) x)) (exp (/ (* y -1/2) x)) (* (* (/ (* y -1/2) x) (/ (* y -1/2) x)) (/ (* y -1/2) x)) (* (* (/ (* y -1/2) x) (/ (* y -1/2) x)) (/ (* y -1/2) x)) (* (cbrt (/ (* y -1/2) x)) (cbrt (/ (* y -1/2) x))) (cbrt (/ (* y -1/2) x)) (* (* (/ (* y -1/2) x) (/ (* y -1/2) x)) (/ (* y -1/2) x)) (sqrt (/ (* y -1/2) x)) (sqrt (/ (* y -1/2) x)) 1/2 (/ (- x) y) (* (/ (cbrt -1/2) (cbrt (/ x y))) (/ (cbrt -1/2) (cbrt (/ x y)))) (/ (cbrt -1/2) (cbrt (/ x y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (sqrt (/ x y))) (/ (cbrt -1/2) (sqrt (/ x y))) (* (* (cbrt y) (/ (cbrt -1/2) (cbrt x))) (* (cbrt y) (/ (cbrt -1/2) (cbrt x)))) (/ (* (cbrt -1/2) (cbrt y)) (cbrt x)) (* (* (/ (cbrt -1/2) (cbrt x)) (/ (cbrt -1/2) (cbrt x))) (sqrt y)) (/ (cbrt -1/2) (/ (cbrt x) (sqrt y))) (* (/ (cbrt -1/2) (cbrt x)) (/ (cbrt -1/2) (cbrt x))) (* (/ (cbrt -1/2) (cbrt x)) y) (/ (* (* (cbrt -1/2) (cbrt y)) (* (cbrt -1/2) (cbrt y))) (sqrt x)) (* (/ (cbrt -1/2) (sqrt x)) (cbrt y)) (/ (* (cbrt -1/2) (sqrt y)) (/ (sqrt x) (cbrt -1/2))) (* (sqrt y) (/ (cbrt -1/2) (sqrt x))) (/ (cbrt -1/2) (/ (sqrt x) (cbrt -1/2))) (* y (/ (cbrt -1/2) (sqrt x))) (* (* (cbrt -1/2) (cbrt y)) (* (cbrt -1/2) (cbrt y))) (/ (* (cbrt -1/2) (cbrt y)) x) (* (sqrt y) (* (cbrt -1/2) (cbrt -1/2))) (* (/ (cbrt -1/2) x) (sqrt y)) (* (cbrt -1/2) (cbrt -1/2)) (* y (/ (cbrt -1/2) x)) (* (cbrt -1/2) (cbrt -1/2)) (* y (/ (cbrt -1/2) x)) (/ (cbrt -1/2) (/ x (cbrt -1/2))) (* (cbrt -1/2) y) (/ (/ (sqrt -1/2) (cbrt (/ x y))) (cbrt (/ x y))) (/ (sqrt -1/2) (cbrt (/ x y))) (/ (sqrt -1/2) (sqrt (/ x y))) (/ (sqrt -1/2) (sqrt (/ x y))) (* (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x))) (sqrt -1/2)) (/ (sqrt -1/2) (/ (cbrt x) (cbrt y))) (* (/ (sqrt y) (cbrt x)) (/ (sqrt -1/2) (cbrt x))) (/ (* (sqrt -1/2) (sqrt y)) (cbrt x)) (/ (/ (sqrt -1/2) (cbrt x)) (cbrt x)) (/ (* (sqrt -1/2) y) (cbrt x)) (* (/ (sqrt -1/2) (sqrt x)) (* (cbrt y) (cbrt y))) (* (cbrt y) (/ (sqrt -1/2) (sqrt x))) (* (/ (sqrt -1/2) (sqrt x)) (sqrt y)) (* (/ (sqrt -1/2) (sqrt x)) (sqrt y)) (/ (sqrt -1/2) (sqrt x)) (/ (* y (sqrt -1/2)) (sqrt x)) (* (* (sqrt -1/2) (cbrt y)) (cbrt y)) (* (cbrt y) (/ (sqrt -1/2) x)) (* (sqrt -1/2) (sqrt y)) (* (sqrt y) (/ (sqrt -1/2) x)) (sqrt -1/2) (* (/ (sqrt -1/2) x) y) (sqrt -1/2) (* (/ (sqrt -1/2) x) y) (/ (sqrt -1/2) x) (* (sqrt -1/2) y) (/ (/ 1 (cbrt (/ x y))) (cbrt (/ x y))) (/ -1/2 (cbrt (/ x y))) (/ 1 (sqrt (/ x y))) (/ -1/2 (sqrt (/ x y))) (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x))) (* (cbrt y) (/ -1/2 (cbrt x))) (/ (sqrt y) (* (cbrt x) (cbrt x))) (/ (* (sqrt y) -1/2) (cbrt x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (* -1/2 y) (cbrt x)) (/ (* (cbrt y) (cbrt y)) (sqrt x)) (* (/ -1/2 (sqrt x)) (cbrt y)) (/ (sqrt y) (sqrt x)) (* (/ -1/2 (sqrt x)) (sqrt y)) (/ 1 (sqrt x)) (/ (* -1/2 y) (sqrt x)) (* (cbrt y) (cbrt y)) (* (cbrt y) (/ -1/2 x)) (sqrt y) (* (sqrt y) (/ -1/2 x)) 1 (/ (* y -1/2) x) 1 (/ (* y -1/2) x) (/ 1 x) (* y -1/2) (/ y x) (/ x (* y -1/2)) (/ (/ -1/2 (cbrt (/ x y))) (cbrt (/ x y))) (/ -1/2 (sqrt (/ x y))) (/ -1/2 (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (/ -1/2 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ -1/2 (* (cbrt x) (cbrt x))) (/ (* (* (cbrt y) (cbrt y)) -1/2) (sqrt x)) (* (/ -1/2 (sqrt x)) (sqrt y)) (/ -1/2 (sqrt x)) (* -1/2 (* (cbrt y) (cbrt y))) (* (sqrt y) -1/2) -1/2 -1/2 (/ -1/2 x) (/ (/ x (cbrt -1/2)) y) (/ (/ x y) (sqrt -1/2)) (/ x (* y -1/2)) (/ -1/2 x) (/ (* y -1/2) x) (/ (* y -1/2) x) (/ (* y -1/2) x) 4.442 * * * [progress]: adding candidates to table 4.743 * * [progress]: iteration 4 / 4 4.743 * * * [progress]: picking best candidate 4.746 * * * * [pick]: Picked # 4.746 * * * [progress]: localizing error 4.755 * * * [progress]: generating rewritten candidates 4.755 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 4.767 * * * [progress]: generating series expansions 4.767 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 4.767 * [backup-simplify]: Simplify (* 1/2 (/ y x)) into (* 1/2 (/ y x)) 4.767 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 4.767 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 4.767 * [taylor]: Taking taylor expansion of 1/2 in x 4.767 * [backup-simplify]: Simplify 1/2 into 1/2 4.767 * [taylor]: Taking taylor expansion of (/ y x) in x 4.767 * [taylor]: Taking taylor expansion of y in x 4.767 * [backup-simplify]: Simplify y into y 4.767 * [taylor]: Taking taylor expansion of x in x 4.767 * [backup-simplify]: Simplify 0 into 0 4.767 * [backup-simplify]: Simplify 1 into 1 4.768 * [backup-simplify]: Simplify (/ y 1) into y 4.768 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 4.768 * [taylor]: Taking taylor expansion of 1/2 in y 4.768 * [backup-simplify]: Simplify 1/2 into 1/2 4.768 * [taylor]: Taking taylor expansion of (/ y x) in y 4.768 * [taylor]: Taking taylor expansion of y in y 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [backup-simplify]: Simplify 1 into 1 4.768 * [taylor]: Taking taylor expansion of x in y 4.768 * [backup-simplify]: Simplify x into x 4.768 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.768 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 4.768 * [taylor]: Taking taylor expansion of 1/2 in y 4.768 * [backup-simplify]: Simplify 1/2 into 1/2 4.768 * [taylor]: Taking taylor expansion of (/ y x) in y 4.768 * [taylor]: Taking taylor expansion of y in y 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [backup-simplify]: Simplify 1 into 1 4.768 * [taylor]: Taking taylor expansion of x in y 4.768 * [backup-simplify]: Simplify x into x 4.768 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.768 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 4.768 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.768 * [taylor]: Taking taylor expansion of 1/2 in x 4.768 * [backup-simplify]: Simplify 1/2 into 1/2 4.768 * [taylor]: Taking taylor expansion of x in x 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [backup-simplify]: Simplify 1 into 1 4.769 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.769 * [backup-simplify]: Simplify 1/2 into 1/2 4.769 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.769 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 4.769 * [taylor]: Taking taylor expansion of 0 in x 4.769 * [backup-simplify]: Simplify 0 into 0 4.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.770 * [backup-simplify]: Simplify 0 into 0 4.770 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.771 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 4.771 * [taylor]: Taking taylor expansion of 0 in x 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.772 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 4.772 * [taylor]: Taking taylor expansion of 0 in x 4.772 * [backup-simplify]: Simplify 0 into 0 4.772 * [backup-simplify]: Simplify 0 into 0 4.772 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) y)) into (* 1/2 (/ y x)) 4.773 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 y) (/ 1 x))) into (* 1/2 (/ x y)) 4.773 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 4.773 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 4.773 * [taylor]: Taking taylor expansion of 1/2 in x 4.773 * [backup-simplify]: Simplify 1/2 into 1/2 4.773 * [taylor]: Taking taylor expansion of (/ x y) in x 4.773 * [taylor]: Taking taylor expansion of x in x 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify 1 into 1 4.773 * [taylor]: Taking taylor expansion of y in x 4.773 * [backup-simplify]: Simplify y into y 4.773 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.773 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.773 * [taylor]: Taking taylor expansion of 1/2 in y 4.773 * [backup-simplify]: Simplify 1/2 into 1/2 4.773 * [taylor]: Taking taylor expansion of (/ x y) in y 4.773 * [taylor]: Taking taylor expansion of x in y 4.773 * [backup-simplify]: Simplify x into x 4.773 * [taylor]: Taking taylor expansion of y in y 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify 1 into 1 4.773 * [backup-simplify]: Simplify (/ x 1) into x 4.773 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.773 * [taylor]: Taking taylor expansion of 1/2 in y 4.773 * [backup-simplify]: Simplify 1/2 into 1/2 4.773 * [taylor]: Taking taylor expansion of (/ x y) in y 4.773 * [taylor]: Taking taylor expansion of x in y 4.773 * [backup-simplify]: Simplify x into x 4.773 * [taylor]: Taking taylor expansion of y in y 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify 1 into 1 4.773 * [backup-simplify]: Simplify (/ x 1) into x 4.774 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 4.774 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.774 * [taylor]: Taking taylor expansion of 1/2 in x 4.774 * [backup-simplify]: Simplify 1/2 into 1/2 4.774 * [taylor]: Taking taylor expansion of x in x 4.774 * [backup-simplify]: Simplify 0 into 0 4.774 * [backup-simplify]: Simplify 1 into 1 4.774 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.774 * [backup-simplify]: Simplify 1/2 into 1/2 4.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 4.775 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 4.775 * [taylor]: Taking taylor expansion of 0 in x 4.775 * [backup-simplify]: Simplify 0 into 0 4.775 * [backup-simplify]: Simplify 0 into 0 4.776 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.776 * [backup-simplify]: Simplify 0 into 0 4.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 4.777 * [taylor]: Taking taylor expansion of 0 in x 4.777 * [backup-simplify]: Simplify 0 into 0 4.777 * [backup-simplify]: Simplify 0 into 0 4.777 * [backup-simplify]: Simplify 0 into 0 4.778 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.778 * [backup-simplify]: Simplify 0 into 0 4.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.779 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 4.779 * [taylor]: Taking taylor expansion of 0 in x 4.779 * [backup-simplify]: Simplify 0 into 0 4.779 * [backup-simplify]: Simplify 0 into 0 4.780 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) into (* 1/2 (/ y x)) 4.780 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x)))) into (* 1/2 (/ x y)) 4.780 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 4.780 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 4.780 * [taylor]: Taking taylor expansion of 1/2 in x 4.780 * [backup-simplify]: Simplify 1/2 into 1/2 4.780 * [taylor]: Taking taylor expansion of (/ x y) in x 4.780 * [taylor]: Taking taylor expansion of x in x 4.780 * [backup-simplify]: Simplify 0 into 0 4.780 * [backup-simplify]: Simplify 1 into 1 4.780 * [taylor]: Taking taylor expansion of y in x 4.780 * [backup-simplify]: Simplify y into y 4.780 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.780 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.780 * [taylor]: Taking taylor expansion of 1/2 in y 4.780 * [backup-simplify]: Simplify 1/2 into 1/2 4.780 * [taylor]: Taking taylor expansion of (/ x y) in y 4.780 * [taylor]: Taking taylor expansion of x in y 4.780 * [backup-simplify]: Simplify x into x 4.780 * [taylor]: Taking taylor expansion of y in y 4.780 * [backup-simplify]: Simplify 0 into 0 4.780 * [backup-simplify]: Simplify 1 into 1 4.780 * [backup-simplify]: Simplify (/ x 1) into x 4.780 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.780 * [taylor]: Taking taylor expansion of 1/2 in y 4.780 * [backup-simplify]: Simplify 1/2 into 1/2 4.780 * [taylor]: Taking taylor expansion of (/ x y) in y 4.780 * [taylor]: Taking taylor expansion of x in y 4.780 * [backup-simplify]: Simplify x into x 4.780 * [taylor]: Taking taylor expansion of y in y 4.780 * [backup-simplify]: Simplify 0 into 0 4.780 * [backup-simplify]: Simplify 1 into 1 4.780 * [backup-simplify]: Simplify (/ x 1) into x 4.780 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 4.780 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.780 * [taylor]: Taking taylor expansion of 1/2 in x 4.780 * [backup-simplify]: Simplify 1/2 into 1/2 4.780 * [taylor]: Taking taylor expansion of x in x 4.780 * [backup-simplify]: Simplify 0 into 0 4.780 * [backup-simplify]: Simplify 1 into 1 4.781 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.781 * [backup-simplify]: Simplify 1/2 into 1/2 4.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 4.782 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 4.782 * [taylor]: Taking taylor expansion of 0 in x 4.782 * [backup-simplify]: Simplify 0 into 0 4.782 * [backup-simplify]: Simplify 0 into 0 4.782 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.782 * [backup-simplify]: Simplify 0 into 0 4.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.784 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 4.784 * [taylor]: Taking taylor expansion of 0 in x 4.784 * [backup-simplify]: Simplify 0 into 0 4.784 * [backup-simplify]: Simplify 0 into 0 4.784 * [backup-simplify]: Simplify 0 into 0 4.784 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.784 * [backup-simplify]: Simplify 0 into 0 4.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.787 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 4.787 * [taylor]: Taking taylor expansion of 0 in x 4.787 * [backup-simplify]: Simplify 0 into 0 4.787 * [backup-simplify]: Simplify 0 into 0 4.787 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) into (* 1/2 (/ y x)) 4.787 * * * [progress]: simplifying candidates 4.787 * [simplify]: Simplifying: (* 1/2 (/ y x)) (+ (log 1/2) (- (log y) (log x))) (+ (log 1/2) (log (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x))) (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) 1)) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* 1/2 (/ (sqrt y) 1)) (* 1/2 (/ 1 (* (cbrt x) (cbrt x)))) (* 1/2 (/ 1 (sqrt x))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 4.788 * * [simplify]: iteration 0: 68 enodes 4.808 * * [simplify]: iteration 1: 178 enodes 4.877 * * [simplify]: iteration 2: 572 enodes 5.246 * * [simplify]: iteration 3: 2504 enodes 6.079 * * [simplify]: iteration complete: 5000 enodes 6.079 * * [simplify]: Extracting #0: cost 23 inf + 0 6.082 * * [simplify]: Extracting #1: cost 922 inf + 1 6.092 * * [simplify]: Extracting #2: cost 1379 inf + 10153 6.133 * * [simplify]: Extracting #3: cost 388 inf + 176825 6.191 * * [simplify]: Extracting #4: cost 28 inf + 251774 6.256 * * [simplify]: Extracting #5: cost 2 inf + 258101 6.328 * * [simplify]: Extracting #6: cost 0 inf + 258798 6.382 * [simplify]: Simplified to: (* (/ y x) 1/2) (log (* (/ y x) 1/2)) (log (* (/ y x) 1/2)) (log (* (/ y x) 1/2)) (sqrt (exp (/ y x))) (* (* (/ y x) (/ y x)) (* 1/8 (/ y x))) (* (* (/ y x) (/ y x)) (* 1/8 (/ y x))) (* (cbrt (* (/ y x) 1/2)) (cbrt (* (/ y x) 1/2))) (cbrt (* (/ y x) 1/2)) (* (* (/ y x) (/ y x)) (* 1/8 (/ y x))) (sqrt (* (/ y x) 1/2)) (sqrt (* (/ y x) 1/2)) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (/ (sqrt 1/2) (sqrt x)) (sqrt y)) (* (/ (sqrt 1/2) (sqrt x)) (sqrt y)) (* (cbrt (/ y x)) (* (cbrt (/ y x)) 1/2)) (* (sqrt (/ y x)) 1/2) (* 1/2 (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x)))) (* (* 1/2 (/ (cbrt y) (sqrt x))) (cbrt y)) (* (* 1/2 (cbrt y)) (cbrt y)) (* (/ 1/2 (cbrt x)) (/ (sqrt y) (cbrt x))) (/ (sqrt y) (/ (sqrt x) 1/2)) (* 1/2 (sqrt y)) (/ 1/2 (* (cbrt x) (cbrt x))) (/ 1/2 (sqrt x)) 1/2 1/2 (* 1/2 y) (* (/ (cbrt 1/2) x) y) (/ y (/ x (sqrt 1/2))) (* (/ y x) 1/2) (* 1/2 y) (* (/ y x) 1/2) (* (/ y x) 1/2) (* (/ y x) 1/2) 6.383 * * * [progress]: adding candidates to table 6.524 * [progress]: [Phase 3 of 3] Extracting. 6.524 * * [regime]: Finding splitpoints for: (# # # #) 6.524 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 6.524 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 6.563 * * * * [regimes]: Trying to branch on (* x x) from (# #) 6.590 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # # #) 6.628 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# #) 6.655 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # # #) 6.712 * * * * [regimes]: Trying to branch on y from (# # # #) 6.801 * * * * [regimes]: Trying to branch on x from (# # # #) 6.879 * * * [regime]: Found split indices: #