21.338 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.035 * * * [progress]: [2/2] Setting up program. 0.041 * [progress]: [Phase 2 of 3] Improving. 0.041 * [simplify]: Simplifying: (sqrt (+ (* x x) y)) 0.042 * * [simplify]: iteration 0: 5 enodes 0.043 * * [simplify]: iteration 1: 6 enodes 0.044 * * [simplify]: iteration complete: 6 enodes 0.045 * * [simplify]: Extracting #0: cost 1 inf + 0 0.045 * * [simplify]: Extracting #1: cost 2 inf + 0 0.045 * * [simplify]: Extracting #2: cost 4 inf + 0 0.045 * * [simplify]: Extracting #3: cost 4 inf + 1 0.045 * * [simplify]: Extracting #4: cost 3 inf + 2 0.045 * * [simplify]: Extracting #5: cost 0 inf + 16 0.045 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.046 * * [progress]: iteration 1 / 4 0.046 * * * [progress]: picking best candidate 0.052 * * * * [pick]: Picked # 0.053 * * * [progress]: localizing error 0.069 * * * [progress]: generating rewritten candidates 0.070 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.085 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.097 * * * [progress]: generating series expansions 0.097 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.097 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 0.097 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.097 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.097 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.097 * [taylor]: Taking taylor expansion of x in y 0.097 * [backup-simplify]: Simplify x into x 0.097 * [taylor]: Taking taylor expansion of y in y 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.097 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.097 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.097 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.098 * [backup-simplify]: Simplify (+ 0 1) into 1 0.098 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.098 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.098 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [taylor]: Taking taylor expansion of y in x 0.098 * [backup-simplify]: Simplify y into y 0.098 * [backup-simplify]: Simplify (+ 0 y) into y 0.098 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.099 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.099 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.099 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [taylor]: Taking taylor expansion of y in x 0.099 * [backup-simplify]: Simplify y into y 0.099 * [backup-simplify]: Simplify (+ 0 y) into y 0.099 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.099 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.099 * [taylor]: Taking taylor expansion of y in y 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (sqrt 0) into 0 0.100 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.101 * [backup-simplify]: Simplify (* 1 1) into 1 0.101 * [backup-simplify]: Simplify (+ 1 0) into 1 0.102 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.102 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.102 * [taylor]: Taking taylor expansion of 1/2 in y 0.102 * [backup-simplify]: Simplify 1/2 into 1/2 0.102 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.102 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (/ 1 1) into 1 0.102 * [backup-simplify]: Simplify (sqrt 0) into 0 0.103 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.104 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.104 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.104 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.106 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.107 * [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)))))) 0.107 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 0.107 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.107 * [taylor]: Taking taylor expansion of x in y 0.107 * [backup-simplify]: Simplify x into x 0.107 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.107 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.107 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (/ 1 1) into 1 0.113 * [backup-simplify]: Simplify (+ 0 1) into 1 0.114 * [backup-simplify]: Simplify (sqrt 0) into 0 0.114 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.115 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify (* 1 1) into 1 0.115 * [backup-simplify]: Simplify (/ 1 1) into 1 0.115 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.115 * [taylor]: Taking taylor expansion of y in x 0.115 * [backup-simplify]: Simplify y into y 0.115 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.115 * [backup-simplify]: Simplify (+ 1 0) into 1 0.116 * [backup-simplify]: Simplify (sqrt 1) into 1 0.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.117 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (* 1 1) into 1 0.118 * [backup-simplify]: Simplify (/ 1 1) into 1 0.118 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.118 * [taylor]: Taking taylor expansion of y in x 0.118 * [backup-simplify]: Simplify y into y 0.118 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.118 * [backup-simplify]: Simplify (+ 1 0) into 1 0.119 * [backup-simplify]: Simplify (sqrt 1) into 1 0.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.120 * [taylor]: Taking taylor expansion of 1 in y 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [taylor]: Taking taylor expansion of 0 in y 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.122 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.122 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.122 * [taylor]: Taking taylor expansion of 1/2 in y 0.122 * [backup-simplify]: Simplify 1/2 into 1/2 0.122 * [taylor]: Taking taylor expansion of y in y 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.123 * [backup-simplify]: Simplify 1/2 into 1/2 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.124 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.125 * [taylor]: Taking taylor expansion of 0 in y 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.128 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.128 * [taylor]: Taking taylor expansion of -1/8 in y 0.128 * [backup-simplify]: Simplify -1/8 into -1/8 0.128 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.128 * [taylor]: Taking taylor expansion of y in y 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (* 1 1) into 1 0.129 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.131 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 0.131 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.131 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.131 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.131 * [taylor]: Taking taylor expansion of x in y 0.131 * [backup-simplify]: Simplify x into x 0.131 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.132 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.132 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (/ 1 1) into 1 0.132 * [backup-simplify]: Simplify (- 1) into -1 0.133 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.133 * [backup-simplify]: Simplify (sqrt 0) into 0 0.135 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.135 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.135 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (* 1 1) into 1 0.136 * [backup-simplify]: Simplify (/ 1 1) into 1 0.136 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.136 * [taylor]: Taking taylor expansion of y in x 0.136 * [backup-simplify]: Simplify y into y 0.136 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.136 * [backup-simplify]: Simplify (+ 1 0) into 1 0.137 * [backup-simplify]: Simplify (sqrt 1) into 1 0.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.139 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.139 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (* 1 1) into 1 0.140 * [backup-simplify]: Simplify (/ 1 1) into 1 0.140 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.140 * [taylor]: Taking taylor expansion of y in x 0.140 * [backup-simplify]: Simplify y into y 0.140 * [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 0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.146 * [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 0.148 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.148 * [backup-simplify]: Simplify -1/2 into -1/2 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.151 * [backup-simplify]: Simplify (- 0) into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.152 * [taylor]: Taking taylor expansion of 0 in y 0.152 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.155 * [backup-simplify]: Simplify (- 0) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.157 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.157 * [taylor]: Taking taylor expansion of -1/8 in y 0.157 * [backup-simplify]: Simplify -1/8 into -1/8 0.157 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.157 * [taylor]: Taking taylor expansion of y in y 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (* 1 1) into 1 0.158 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.160 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.160 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.160 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.160 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.160 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.160 * [taylor]: Taking taylor expansion of x in y 0.160 * [backup-simplify]: Simplify x into x 0.161 * [taylor]: Taking taylor expansion of y in y 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.161 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [taylor]: Taking taylor expansion of y in x 0.161 * [backup-simplify]: Simplify y into y 0.161 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.161 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [taylor]: Taking taylor expansion of y in x 0.161 * [backup-simplify]: Simplify y into y 0.161 * [backup-simplify]: Simplify (+ 0 y) into y 0.161 * [taylor]: Taking taylor expansion of y in y 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [taylor]: Taking taylor expansion of 0 in y 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (* 1 1) into 1 0.163 * [backup-simplify]: Simplify (+ 1 0) into 1 0.163 * [taylor]: Taking taylor expansion of 1 in y 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [taylor]: Taking taylor expansion of 0 in y 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.165 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.165 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.165 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.165 * [taylor]: Taking taylor expansion of x in y 0.165 * [backup-simplify]: Simplify x into x 0.165 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.165 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.165 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (* 1 1) into 1 0.166 * [backup-simplify]: Simplify (/ 1 1) into 1 0.167 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.167 * [taylor]: Taking taylor expansion of y in x 0.167 * [backup-simplify]: Simplify y into y 0.167 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.167 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (* 1 1) into 1 0.168 * [backup-simplify]: Simplify (/ 1 1) into 1 0.168 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.168 * [taylor]: Taking taylor expansion of y in x 0.168 * [backup-simplify]: Simplify y into y 0.168 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.168 * [backup-simplify]: Simplify (+ 1 0) into 1 0.168 * [taylor]: Taking taylor expansion of 1 in y 0.168 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [taylor]: Taking taylor expansion of 0 in y 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.172 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.172 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.172 * [taylor]: Taking taylor expansion of y in y 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify (/ 1 1) into 1 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.175 * [backup-simplify]: Simplify (+ 0 0) into 0 0.175 * [taylor]: Taking taylor expansion of 0 in y 0.175 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.179 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [taylor]: Taking taylor expansion of 0 in y 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.180 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.180 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.180 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.180 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.180 * [taylor]: Taking taylor expansion of x in y 0.180 * [backup-simplify]: Simplify x into x 0.180 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.181 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.181 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.181 * [taylor]: Taking taylor expansion of y in y 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (/ 1 1) into 1 0.181 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (* 1 1) into 1 0.182 * [backup-simplify]: Simplify (/ 1 1) into 1 0.182 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.182 * [taylor]: Taking taylor expansion of y in x 0.182 * [backup-simplify]: Simplify y into y 0.182 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.182 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.182 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (* 1 1) into 1 0.183 * [backup-simplify]: Simplify (/ 1 1) into 1 0.183 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.183 * [taylor]: Taking taylor expansion of y in x 0.183 * [backup-simplify]: Simplify y into y 0.183 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.184 * [backup-simplify]: Simplify (+ 1 0) into 1 0.184 * [taylor]: Taking taylor expansion of 1 in y 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (+ 0 0) into 0 0.186 * [taylor]: Taking taylor expansion of 0 in y 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.188 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.188 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.188 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.188 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (/ 1 1) into 1 0.189 * [backup-simplify]: Simplify (- 1) into -1 0.189 * [backup-simplify]: Simplify -1 into -1 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.191 * [backup-simplify]: Simplify (- 0) into 0 0.192 * [backup-simplify]: Simplify (+ 0 0) into 0 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.192 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (- 0) into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.196 * [backup-simplify]: Simplify (- 0) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [taylor]: Taking taylor expansion of 0 in y 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.197 * * * [progress]: simplifying candidates 0.198 * [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) 0.199 * * [simplify]: iteration 0: 59 enodes 0.221 * * [simplify]: iteration 1: 154 enodes 0.302 * * [simplify]: iteration 2: 697 enodes 0.626 * * [simplify]: iteration complete: 5000 enodes 0.627 * * [simplify]: Extracting #0: cost 29 inf + 0 0.627 * * [simplify]: Extracting #1: cost 303 inf + 2 0.630 * * [simplify]: Extracting #2: cost 1664 inf + 152 0.637 * * [simplify]: Extracting #3: cost 1097 inf + 7499 0.644 * * [simplify]: Extracting #4: cost 66 inf + 15136 0.651 * * [simplify]: Extracting #5: cost 12 inf + 15433 0.661 * * [simplify]: Extracting #6: cost 0 inf + 15504 0.667 * [simplify]: Simplified to: (log (sqrt (+ (pow x 2) y))) (exp (sqrt (+ (pow x 2) y))) (* (cbrt (sqrt (+ (pow x 2) y))) (cbrt (sqrt (+ (pow x 2) y)))) (cbrt (sqrt (+ (pow x 2) y))) (pow (sqrt (+ (pow x 2) y)) 3) (fabs (cbrt (+ (pow x 2) y))) (sqrt (cbrt (+ (pow x 2) y))) (sqrt (sqrt (+ (pow x 2) y))) (sqrt (sqrt (+ (pow x 2) y))) 1 (sqrt (+ (pow x 2) y)) (sqrt (+ (pow y 3) (pow x 6))) (sqrt (+ (pow x 4) (* y (- y (pow x 2))))) (sqrt (- (pow x 4) (* y y))) (sqrt (- (pow x 2) y)) 1/2 (sqrt (sqrt (+ (pow x 2) y))) (sqrt (sqrt (+ (pow x 2) y))) (exp (+ (pow x 2) y)) (log (+ (pow x 2) y)) (exp (+ (pow x 2) y)) (* (cbrt (+ (pow x 2) y)) (cbrt (+ (pow x 2) y))) (cbrt (+ (pow x 2) y)) (pow (+ (pow x 2) y) 3) (sqrt (+ (pow x 2) y)) (sqrt (+ (pow x 2) y)) (+ (pow y 3) (pow x 6)) (+ (pow x 4) (* y (- y (pow x 2)))) (- (pow x 4) (* y y)) (- (pow x 2) y) (* +nan.0 (+ (- (pow x 2) y) (- (* y y)))) (+ (/ (* 1/2 y) x) x) (- (/ -1/2 (/ x y)) x) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.668 * * * [progress]: adding candidates to table 0.865 * * [progress]: iteration 2 / 4 0.865 * * * [progress]: picking best candidate 0.885 * * * * [pick]: Picked # 0.886 * * * [progress]: localizing error 0.929 * * * [progress]: generating rewritten candidates 0.929 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.979 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.009 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.024 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.055 * * * [progress]: generating series expansions 1.055 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.055 * [backup-simplify]: Simplify (/ (- (pow x 4) (* y y)) (- (pow x 2) y)) into (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) 1.055 * [approximate]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in (x y) around 0 1.055 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in y 1.055 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 1.055 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.055 * [taylor]: Taking taylor expansion of x in y 1.055 * [backup-simplify]: Simplify x into x 1.055 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.055 * [taylor]: Taking taylor expansion of y in y 1.055 * [backup-simplify]: Simplify 0 into 0 1.055 * [backup-simplify]: Simplify 1 into 1 1.055 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 1.055 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.055 * [taylor]: Taking taylor expansion of x in y 1.055 * [backup-simplify]: Simplify x into x 1.055 * [taylor]: Taking taylor expansion of y in y 1.055 * [backup-simplify]: Simplify 0 into 0 1.055 * [backup-simplify]: Simplify 1 into 1 1.055 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.056 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.056 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 1.056 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.056 * [backup-simplify]: Simplify (- 0) into 0 1.056 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.056 * [backup-simplify]: Simplify (/ (pow x 4) (pow x 2)) into (pow x 2) 1.056 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in x 1.056 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 1.056 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.057 * [taylor]: Taking taylor expansion of x in x 1.057 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify 1 into 1 1.057 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.057 * [taylor]: Taking taylor expansion of y in x 1.057 * [backup-simplify]: Simplify y into y 1.057 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 1.057 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.057 * [taylor]: Taking taylor expansion of x in x 1.057 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify 1 into 1 1.057 * [taylor]: Taking taylor expansion of y in x 1.057 * [backup-simplify]: Simplify y into y 1.057 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.057 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 1.057 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 1.057 * [backup-simplify]: Simplify (- y) into (- y) 1.057 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 1.057 * [backup-simplify]: Simplify (/ (- (pow y 2)) (- y)) into y 1.057 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in x 1.057 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 1.057 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.057 * [taylor]: Taking taylor expansion of x in x 1.057 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify 1 into 1 1.057 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.057 * [taylor]: Taking taylor expansion of y in x 1.057 * [backup-simplify]: Simplify y into y 1.057 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 1.057 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.057 * [taylor]: Taking taylor expansion of x in x 1.057 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify 1 into 1 1.057 * [taylor]: Taking taylor expansion of y in x 1.057 * [backup-simplify]: Simplify y into y 1.057 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.057 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 1.058 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 1.058 * [backup-simplify]: Simplify (- y) into (- y) 1.058 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 1.058 * [backup-simplify]: Simplify (/ (- (pow y 2)) (- y)) into y 1.058 * [taylor]: Taking taylor expansion of y in y 1.058 * [backup-simplify]: Simplify 0 into 0 1.058 * [backup-simplify]: Simplify 1 into 1 1.058 * [backup-simplify]: Simplify 0 into 0 1.058 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.058 * [backup-simplify]: Simplify (- 0) into 0 1.058 * [backup-simplify]: Simplify (+ 0 0) into 0 1.059 * [backup-simplify]: Simplify (- 0) into 0 1.059 * [backup-simplify]: Simplify (+ 0 0) into 0 1.059 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* y (/ 0 (- y))))) into 0 1.059 * [taylor]: Taking taylor expansion of 0 in y 1.059 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify 1 into 1 1.060 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.060 * [backup-simplify]: Simplify (- 0) into 0 1.060 * [backup-simplify]: Simplify (+ 0 0) into 0 1.060 * [backup-simplify]: Simplify (* 1 1) into 1 1.060 * [backup-simplify]: Simplify (- 0) into 0 1.061 * [backup-simplify]: Simplify (+ 1 0) into 1 1.061 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* y (/ 1 (- y))) (* 0 (/ 0 (- y))))) into 1 1.061 * [taylor]: Taking taylor expansion of 1 in y 1.061 * [backup-simplify]: Simplify 1 into 1 1.061 * [backup-simplify]: Simplify 1 into 1 1.061 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.062 * [backup-simplify]: Simplify (- 0) into 0 1.062 * [backup-simplify]: Simplify (+ 0 0) into 0 1.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.063 * [backup-simplify]: Simplify (- 0) into 0 1.063 * [backup-simplify]: Simplify (+ 0 0) into 0 1.063 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* y (/ 0 (- y))) (* 0 (/ 1 (- y))) (* 1 (/ 0 (- y))))) into 0 1.063 * [taylor]: Taking taylor expansion of 0 in y 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 1.064 * [backup-simplify]: Simplify (/ (- (pow (/ 1 x) 4) (* (/ 1 y) (/ 1 y))) (- (pow (/ 1 x) 2) (/ 1 y))) into (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) 1.064 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 1.064 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in y 1.064 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 1.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.064 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.064 * [taylor]: Taking taylor expansion of x in y 1.064 * [backup-simplify]: Simplify x into x 1.064 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.064 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.064 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.064 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.064 * [taylor]: Taking taylor expansion of y in y 1.064 * [backup-simplify]: Simplify 0 into 0 1.064 * [backup-simplify]: Simplify 1 into 1 1.064 * [backup-simplify]: Simplify (* 1 1) into 1 1.065 * [backup-simplify]: Simplify (/ 1 1) into 1 1.065 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 1.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.065 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.065 * [taylor]: Taking taylor expansion of x in y 1.065 * [backup-simplify]: Simplify x into x 1.065 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.065 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.065 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.065 * [taylor]: Taking taylor expansion of y in y 1.065 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify 1 into 1 1.065 * [backup-simplify]: Simplify (/ 1 1) into 1 1.065 * [backup-simplify]: Simplify (- 1) into -1 1.066 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.066 * [backup-simplify]: Simplify (- 1) into -1 1.066 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.066 * [backup-simplify]: Simplify (/ -1 -1) into 1 1.066 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 1.066 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 1.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.066 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.066 * [taylor]: Taking taylor expansion of x in x 1.066 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify 1 into 1 1.067 * [backup-simplify]: Simplify (* 1 1) into 1 1.067 * [backup-simplify]: Simplify (* 1 1) into 1 1.067 * [backup-simplify]: Simplify (/ 1 1) into 1 1.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.067 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.067 * [taylor]: Taking taylor expansion of y in x 1.067 * [backup-simplify]: Simplify y into y 1.067 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.067 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.067 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.067 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.067 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.067 * [taylor]: Taking taylor expansion of x in x 1.067 * [backup-simplify]: Simplify 0 into 0 1.068 * [backup-simplify]: Simplify 1 into 1 1.068 * [backup-simplify]: Simplify (* 1 1) into 1 1.068 * [backup-simplify]: Simplify (/ 1 1) into 1 1.068 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.068 * [taylor]: Taking taylor expansion of y in x 1.068 * [backup-simplify]: Simplify y into y 1.068 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.068 * [backup-simplify]: Simplify (+ 1 0) into 1 1.069 * [backup-simplify]: Simplify (+ 1 0) into 1 1.069 * [backup-simplify]: Simplify (/ 1 1) into 1 1.069 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 1.069 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 1.069 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.069 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.069 * [taylor]: Taking taylor expansion of x in x 1.069 * [backup-simplify]: Simplify 0 into 0 1.069 * [backup-simplify]: Simplify 1 into 1 1.069 * [backup-simplify]: Simplify (* 1 1) into 1 1.069 * [backup-simplify]: Simplify (* 1 1) into 1 1.070 * [backup-simplify]: Simplify (/ 1 1) into 1 1.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.070 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.070 * [taylor]: Taking taylor expansion of y in x 1.070 * [backup-simplify]: Simplify y into y 1.070 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.070 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.070 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.070 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.070 * [backup-simplify]: Simplify 0 into 0 1.070 * [backup-simplify]: Simplify 1 into 1 1.070 * [backup-simplify]: Simplify (* 1 1) into 1 1.071 * [backup-simplify]: Simplify (/ 1 1) into 1 1.071 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.071 * [taylor]: Taking taylor expansion of y in x 1.071 * [backup-simplify]: Simplify y into y 1.071 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.071 * [backup-simplify]: Simplify (+ 1 0) into 1 1.071 * [backup-simplify]: Simplify (+ 1 0) into 1 1.071 * [backup-simplify]: Simplify (/ 1 1) into 1 1.072 * [taylor]: Taking taylor expansion of 1 in y 1.072 * [backup-simplify]: Simplify 1 into 1 1.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.073 * [backup-simplify]: Simplify (+ 0 0) into 0 1.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.074 * [backup-simplify]: Simplify (+ 0 0) into 0 1.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.075 * [taylor]: Taking taylor expansion of 0 in y 1.075 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify 1 into 1 1.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.077 * [backup-simplify]: Simplify (+ 0 0) into 0 1.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.079 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 1.079 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 y)) 1)) (* 0 (/ 0 1)))) into (/ 1 y) 1.080 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.080 * [taylor]: Taking taylor expansion of y in y 1.080 * [backup-simplify]: Simplify 0 into 0 1.080 * [backup-simplify]: Simplify 1 into 1 1.080 * [backup-simplify]: Simplify (/ 1 1) into 1 1.080 * [backup-simplify]: Simplify 1 into 1 1.080 * [backup-simplify]: Simplify 0 into 0 1.080 * [backup-simplify]: Simplify 0 into 0 1.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.084 * [backup-simplify]: Simplify (+ 0 0) into 0 1.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.087 * [backup-simplify]: Simplify (- 0) into 0 1.087 * [backup-simplify]: Simplify (+ 0 0) into 0 1.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 y)) 1)) (* (/ 1 y) (/ 0 1)))) into 0 1.089 * [taylor]: Taking taylor expansion of 0 in y 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify 0 into 0 1.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.093 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 1.093 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 1.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.096 * [backup-simplify]: Simplify (- 0) into 0 1.096 * [backup-simplify]: Simplify (+ 0 0) into 0 1.098 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (/ 1 y) (/ (- (/ 1 y)) 1)) (* 0 (/ 0 1)))) into 0 1.099 * [taylor]: Taking taylor expansion of 0 in y 1.099 * [backup-simplify]: Simplify 0 into 0 1.099 * [backup-simplify]: Simplify 0 into 0 1.099 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 1.100 * [backup-simplify]: Simplify (/ (- (pow (/ 1 (- x)) 4) (* (/ 1 (- y)) (/ 1 (- y)))) (- (pow (/ 1 (- x)) 2) (/ 1 (- y)))) into (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) 1.100 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 1.100 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 1.100 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 1.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.100 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.100 * [taylor]: Taking taylor expansion of x in y 1.100 * [backup-simplify]: Simplify x into x 1.100 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.100 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.100 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.100 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.100 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.100 * [taylor]: Taking taylor expansion of y in y 1.100 * [backup-simplify]: Simplify 0 into 0 1.100 * [backup-simplify]: Simplify 1 into 1 1.101 * [backup-simplify]: Simplify (* 1 1) into 1 1.101 * [backup-simplify]: Simplify (/ 1 1) into 1 1.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 1.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.101 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.101 * [taylor]: Taking taylor expansion of x in y 1.101 * [backup-simplify]: Simplify x into x 1.101 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.102 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.102 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.102 * [taylor]: Taking taylor expansion of y in y 1.102 * [backup-simplify]: Simplify 0 into 0 1.102 * [backup-simplify]: Simplify 1 into 1 1.102 * [backup-simplify]: Simplify (/ 1 1) into 1 1.102 * [backup-simplify]: Simplify (- 1) into -1 1.103 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.103 * [backup-simplify]: Simplify (+ 0 1) into 1 1.104 * [backup-simplify]: Simplify (/ -1 1) into -1 1.104 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 1.104 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 1.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.104 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.104 * [taylor]: Taking taylor expansion of x in x 1.104 * [backup-simplify]: Simplify 0 into 0 1.104 * [backup-simplify]: Simplify 1 into 1 1.105 * [backup-simplify]: Simplify (* 1 1) into 1 1.105 * [backup-simplify]: Simplify (* 1 1) into 1 1.105 * [backup-simplify]: Simplify (/ 1 1) into 1 1.105 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.105 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.105 * [taylor]: Taking taylor expansion of y in x 1.105 * [backup-simplify]: Simplify y into y 1.106 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.106 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.106 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.106 * [taylor]: Taking taylor expansion of x in x 1.106 * [backup-simplify]: Simplify 0 into 0 1.106 * [backup-simplify]: Simplify 1 into 1 1.106 * [backup-simplify]: Simplify (* 1 1) into 1 1.107 * [backup-simplify]: Simplify (/ 1 1) into 1 1.107 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.107 * [taylor]: Taking taylor expansion of y in x 1.107 * [backup-simplify]: Simplify y into y 1.107 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.107 * [backup-simplify]: Simplify (+ 1 0) into 1 1.108 * [backup-simplify]: Simplify (+ 1 0) into 1 1.108 * [backup-simplify]: Simplify (/ 1 1) into 1 1.108 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 1.108 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 1.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.108 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.108 * [taylor]: Taking taylor expansion of x in x 1.108 * [backup-simplify]: Simplify 0 into 0 1.108 * [backup-simplify]: Simplify 1 into 1 1.109 * [backup-simplify]: Simplify (* 1 1) into 1 1.109 * [backup-simplify]: Simplify (* 1 1) into 1 1.110 * [backup-simplify]: Simplify (/ 1 1) into 1 1.110 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.110 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.110 * [taylor]: Taking taylor expansion of y in x 1.110 * [backup-simplify]: Simplify y into y 1.110 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.110 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.110 * [taylor]: Taking taylor expansion of x in x 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify 1 into 1 1.111 * [backup-simplify]: Simplify (* 1 1) into 1 1.112 * [backup-simplify]: Simplify (/ 1 1) into 1 1.112 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.112 * [taylor]: Taking taylor expansion of y in x 1.112 * [backup-simplify]: Simplify y into y 1.112 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.112 * [backup-simplify]: Simplify (+ 1 0) into 1 1.113 * [backup-simplify]: Simplify (+ 1 0) into 1 1.113 * [backup-simplify]: Simplify (/ 1 1) into 1 1.113 * [taylor]: Taking taylor expansion of 1 in y 1.113 * [backup-simplify]: Simplify 1 into 1 1.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.116 * [backup-simplify]: Simplify (+ 0 0) into 0 1.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.117 * [backup-simplify]: Simplify (+ 0 0) into 0 1.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.118 * [taylor]: Taking taylor expansion of 0 in y 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify 1 into 1 1.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.121 * [backup-simplify]: Simplify (+ 0 0) into 0 1.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.123 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 y) 1)) (* 0 (/ 0 1)))) into (- (/ 1 y)) 1.125 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.125 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.125 * [taylor]: Taking taylor expansion of y in y 1.125 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify 1 into 1 1.125 * [backup-simplify]: Simplify (/ 1 1) into 1 1.126 * [backup-simplify]: Simplify (- 1) into -1 1.126 * [backup-simplify]: Simplify -1 into -1 1.126 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify 0 into 0 1.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.129 * [backup-simplify]: Simplify (+ 0 0) into 0 1.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.132 * [backup-simplify]: Simplify (+ 0 0) into 0 1.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 y) 1)) (* (- (/ 1 y)) (/ 0 1)))) into 0 1.133 * [taylor]: Taking taylor expansion of 0 in y 1.133 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.135 * [backup-simplify]: Simplify (- 0) into 0 1.135 * [backup-simplify]: Simplify 0 into 0 1.135 * [backup-simplify]: Simplify 0 into 0 1.135 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.138 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 1.139 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 1.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.142 * [backup-simplify]: Simplify (+ 0 0) into 0 1.144 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)) (* 0 (/ 0 1)))) into 0 1.144 * [taylor]: Taking taylor expansion of 0 in y 1.144 * [backup-simplify]: Simplify 0 into 0 1.144 * [backup-simplify]: Simplify 0 into 0 1.144 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 1.144 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.145 * [backup-simplify]: Simplify (sqrt (/ (- (pow x 4) (* y y)) (- (pow x 2) y))) into (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) 1.145 * [approximate]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in (x y) around 0 1.145 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in y 1.145 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in y 1.145 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 1.145 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.145 * [taylor]: Taking taylor expansion of x in y 1.145 * [backup-simplify]: Simplify x into x 1.145 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.145 * [taylor]: Taking taylor expansion of y in y 1.145 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify 1 into 1 1.145 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 1.145 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.145 * [taylor]: Taking taylor expansion of x in y 1.145 * [backup-simplify]: Simplify x into x 1.145 * [taylor]: Taking taylor expansion of y in y 1.145 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify 1 into 1 1.146 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.146 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.146 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 1.146 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.146 * [backup-simplify]: Simplify (- 0) into 0 1.147 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.147 * [backup-simplify]: Simplify (/ (pow x 4) (pow x 2)) into (pow x 2) 1.147 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.147 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.147 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 1.148 * [backup-simplify]: Simplify (+ 0 0) into 0 1.148 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.148 * [backup-simplify]: Simplify (- 1) into -1 1.149 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.149 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (pow x 2) (/ -1 (pow x 2))))) into 1 1.149 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 1.149 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in x 1.149 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in x 1.149 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 1.149 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.149 * [taylor]: Taking taylor expansion of x in x 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [backup-simplify]: Simplify 1 into 1 1.149 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.150 * [taylor]: Taking taylor expansion of y in x 1.150 * [backup-simplify]: Simplify y into y 1.150 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 1.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.150 * [taylor]: Taking taylor expansion of x in x 1.150 * [backup-simplify]: Simplify 0 into 0 1.150 * [backup-simplify]: Simplify 1 into 1 1.150 * [taylor]: Taking taylor expansion of y in x 1.150 * [backup-simplify]: Simplify y into y 1.150 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.150 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 1.150 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 1.150 * [backup-simplify]: Simplify (- y) into (- y) 1.150 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 1.150 * [backup-simplify]: Simplify (/ (- (pow y 2)) (- y)) into y 1.151 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 1.151 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.151 * [backup-simplify]: Simplify (- 0) into 0 1.151 * [backup-simplify]: Simplify (+ 0 0) into 0 1.152 * [backup-simplify]: Simplify (- 0) into 0 1.152 * [backup-simplify]: Simplify (+ 0 0) into 0 1.152 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* y (/ 0 (- y))))) into 0 1.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 1.153 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in x 1.153 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in x 1.153 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 1.153 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.153 * [backup-simplify]: Simplify 0 into 0 1.153 * [backup-simplify]: Simplify 1 into 1 1.153 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.153 * [taylor]: Taking taylor expansion of y in x 1.153 * [backup-simplify]: Simplify y into y 1.153 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 1.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.153 * [backup-simplify]: Simplify 0 into 0 1.153 * [backup-simplify]: Simplify 1 into 1 1.153 * [taylor]: Taking taylor expansion of y in x 1.153 * [backup-simplify]: Simplify y into y 1.153 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.153 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 1.153 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 1.154 * [backup-simplify]: Simplify (- y) into (- y) 1.154 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 1.154 * [backup-simplify]: Simplify (/ (- (pow y 2)) (- y)) into y 1.154 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 1.154 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.155 * [backup-simplify]: Simplify (- 0) into 0 1.155 * [backup-simplify]: Simplify (+ 0 0) into 0 1.155 * [backup-simplify]: Simplify (- 0) into 0 1.156 * [backup-simplify]: Simplify (+ 0 0) into 0 1.156 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* y (/ 0 (- y))))) into 0 1.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 1.156 * [taylor]: Taking taylor expansion of (sqrt y) in y 1.156 * [taylor]: Taking taylor expansion of y in y 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [backup-simplify]: Simplify 1 into 1 1.157 * [backup-simplify]: Simplify (sqrt 0) into 0 1.158 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.158 * [backup-simplify]: Simplify 0 into 0 1.158 * [taylor]: Taking taylor expansion of 0 in y 1.158 * [backup-simplify]: Simplify 0 into 0 1.158 * [backup-simplify]: Simplify 0 into 0 1.158 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.159 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.159 * [backup-simplify]: Simplify (- 0) into 0 1.160 * [backup-simplify]: Simplify (+ 0 0) into 0 1.163 * [backup-simplify]: Simplify (* 1 1) into 1 1.164 * [backup-simplify]: Simplify (- 0) into 0 1.165 * [backup-simplify]: Simplify (+ 1 0) into 1 1.165 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* y (/ 1 (- y))) (* 0 (/ 0 (- y))))) into 1 1.166 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 1.166 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 1.166 * [taylor]: Taking taylor expansion of 1/2 in y 1.166 * [backup-simplify]: Simplify 1/2 into 1/2 1.166 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 1.166 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.166 * [taylor]: Taking taylor expansion of y in y 1.166 * [backup-simplify]: Simplify 0 into 0 1.166 * [backup-simplify]: Simplify 1 into 1 1.166 * [backup-simplify]: Simplify (/ 1 1) into 1 1.167 * [backup-simplify]: Simplify (sqrt 0) into 0 1.168 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.170 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 1.170 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.170 * [backup-simplify]: Simplify 0 into 0 1.173 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.174 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.174 * [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)))))) 1.175 * [backup-simplify]: Simplify (sqrt (/ (- (pow (/ 1 x) 4) (* (/ 1 y) (/ 1 y))) (- (pow (/ 1 x) 2) (/ 1 y)))) into (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) 1.175 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in (x y) around 0 1.175 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in y 1.175 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in y 1.175 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 1.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.175 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.175 * [taylor]: Taking taylor expansion of x in y 1.175 * [backup-simplify]: Simplify x into x 1.175 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.176 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.176 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.176 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.176 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.176 * [taylor]: Taking taylor expansion of y in y 1.176 * [backup-simplify]: Simplify 0 into 0 1.176 * [backup-simplify]: Simplify 1 into 1 1.176 * [backup-simplify]: Simplify (* 1 1) into 1 1.177 * [backup-simplify]: Simplify (/ 1 1) into 1 1.177 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 1.177 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.177 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.177 * [taylor]: Taking taylor expansion of x in y 1.177 * [backup-simplify]: Simplify x into x 1.177 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.177 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.177 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.177 * [taylor]: Taking taylor expansion of y in y 1.177 * [backup-simplify]: Simplify 0 into 0 1.177 * [backup-simplify]: Simplify 1 into 1 1.177 * [backup-simplify]: Simplify (/ 1 1) into 1 1.177 * [backup-simplify]: Simplify (- 1) into -1 1.178 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.178 * [backup-simplify]: Simplify (- 1) into -1 1.178 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.178 * [backup-simplify]: Simplify (/ -1 -1) into 1 1.179 * [backup-simplify]: Simplify (sqrt 0) into 0 1.179 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.179 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in x 1.179 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 1.179 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 1.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.179 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.179 * [taylor]: Taking taylor expansion of x in x 1.179 * [backup-simplify]: Simplify 0 into 0 1.179 * [backup-simplify]: Simplify 1 into 1 1.180 * [backup-simplify]: Simplify (* 1 1) into 1 1.180 * [backup-simplify]: Simplify (* 1 1) into 1 1.180 * [backup-simplify]: Simplify (/ 1 1) into 1 1.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.180 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.180 * [taylor]: Taking taylor expansion of y in x 1.180 * [backup-simplify]: Simplify y into y 1.180 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.180 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.180 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.180 * [taylor]: Taking taylor expansion of x in x 1.181 * [backup-simplify]: Simplify 0 into 0 1.181 * [backup-simplify]: Simplify 1 into 1 1.181 * [backup-simplify]: Simplify (* 1 1) into 1 1.181 * [backup-simplify]: Simplify (/ 1 1) into 1 1.181 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.181 * [taylor]: Taking taylor expansion of y in x 1.181 * [backup-simplify]: Simplify y into y 1.181 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.181 * [backup-simplify]: Simplify (+ 1 0) into 1 1.182 * [backup-simplify]: Simplify (+ 1 0) into 1 1.182 * [backup-simplify]: Simplify (/ 1 1) into 1 1.182 * [backup-simplify]: Simplify (sqrt 1) into 1 1.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.183 * [backup-simplify]: Simplify (+ 0 0) into 0 1.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.185 * [backup-simplify]: Simplify (+ 0 0) into 0 1.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.185 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in x 1.185 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 1.185 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 1.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.186 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.186 * [taylor]: Taking taylor expansion of x in x 1.186 * [backup-simplify]: Simplify 0 into 0 1.186 * [backup-simplify]: Simplify 1 into 1 1.186 * [backup-simplify]: Simplify (* 1 1) into 1 1.186 * [backup-simplify]: Simplify (* 1 1) into 1 1.186 * [backup-simplify]: Simplify (/ 1 1) into 1 1.186 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.186 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.186 * [taylor]: Taking taylor expansion of y in x 1.186 * [backup-simplify]: Simplify y into y 1.186 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.187 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.187 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.187 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.187 * [taylor]: Taking taylor expansion of x in x 1.187 * [backup-simplify]: Simplify 0 into 0 1.187 * [backup-simplify]: Simplify 1 into 1 1.187 * [backup-simplify]: Simplify (* 1 1) into 1 1.187 * [backup-simplify]: Simplify (/ 1 1) into 1 1.187 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.187 * [taylor]: Taking taylor expansion of y in x 1.187 * [backup-simplify]: Simplify y into y 1.187 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.187 * [backup-simplify]: Simplify (+ 1 0) into 1 1.188 * [backup-simplify]: Simplify (+ 1 0) into 1 1.188 * [backup-simplify]: Simplify (/ 1 1) into 1 1.188 * [backup-simplify]: Simplify (sqrt 1) into 1 1.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.190 * [backup-simplify]: Simplify (+ 0 0) into 0 1.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.191 * [backup-simplify]: Simplify (+ 0 0) into 0 1.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.192 * [taylor]: Taking taylor expansion of 1 in y 1.192 * [backup-simplify]: Simplify 1 into 1 1.192 * [taylor]: Taking taylor expansion of 0 in y 1.192 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify 1 into 1 1.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.194 * [backup-simplify]: Simplify (+ 0 0) into 0 1.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.195 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 1.195 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 y)) 1)) (* 0 (/ 0 1)))) into (/ 1 y) 1.196 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 1.196 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.196 * [taylor]: Taking taylor expansion of 1/2 in y 1.196 * [backup-simplify]: Simplify 1/2 into 1/2 1.196 * [taylor]: Taking taylor expansion of y in y 1.196 * [backup-simplify]: Simplify 0 into 0 1.196 * [backup-simplify]: Simplify 1 into 1 1.197 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.197 * [backup-simplify]: Simplify 1/2 into 1/2 1.197 * [backup-simplify]: Simplify 0 into 0 1.197 * [backup-simplify]: Simplify 0 into 0 1.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.199 * [backup-simplify]: Simplify (+ 0 0) into 0 1.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.200 * [backup-simplify]: Simplify (- 0) into 0 1.200 * [backup-simplify]: Simplify (+ 0 0) into 0 1.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 y)) 1)) (* (/ 1 y) (/ 0 1)))) into 0 1.202 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 1.202 * [taylor]: Taking taylor expansion of 0 in y 1.202 * [backup-simplify]: Simplify 0 into 0 1.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.202 * [backup-simplify]: Simplify 0 into 0 1.202 * [backup-simplify]: Simplify 0 into 0 1.202 * [backup-simplify]: Simplify 0 into 0 1.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.205 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 1.205 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 1.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.207 * [backup-simplify]: Simplify (- 0) into 0 1.208 * [backup-simplify]: Simplify (+ 0 0) into 0 1.210 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (/ 1 y) (/ (- (/ 1 y)) 1)) (* 0 (/ 0 1)))) into 0 1.211 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 1.211 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 1.211 * [taylor]: Taking taylor expansion of -1/8 in y 1.211 * [backup-simplify]: Simplify -1/8 into -1/8 1.211 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.211 * [taylor]: Taking taylor expansion of y in y 1.211 * [backup-simplify]: Simplify 0 into 0 1.211 * [backup-simplify]: Simplify 1 into 1 1.211 * [backup-simplify]: Simplify (* 1 1) into 1 1.212 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 1.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 1.213 * [backup-simplify]: Simplify 0 into 0 1.213 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 1.214 * [backup-simplify]: Simplify (sqrt (/ (- (pow (/ 1 (- x)) 4) (* (/ 1 (- y)) (/ 1 (- y)))) (- (pow (/ 1 (- x)) 2) (/ 1 (- y))))) into (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) 1.214 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in (x y) around 0 1.214 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 1.214 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 1.214 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 1.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.214 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.214 * [taylor]: Taking taylor expansion of x in y 1.214 * [backup-simplify]: Simplify x into x 1.214 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.215 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.215 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.215 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.215 * [taylor]: Taking taylor expansion of y in y 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [backup-simplify]: Simplify 1 into 1 1.215 * [backup-simplify]: Simplify (* 1 1) into 1 1.216 * [backup-simplify]: Simplify (/ 1 1) into 1 1.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 1.216 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.216 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.216 * [taylor]: Taking taylor expansion of x in y 1.216 * [backup-simplify]: Simplify x into x 1.216 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.216 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.216 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.216 * [taylor]: Taking taylor expansion of y in y 1.216 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify 1 into 1 1.216 * [backup-simplify]: Simplify (/ 1 1) into 1 1.217 * [backup-simplify]: Simplify (- 1) into -1 1.217 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.218 * [backup-simplify]: Simplify (+ 0 1) into 1 1.218 * [backup-simplify]: Simplify (/ -1 1) into -1 1.218 * [backup-simplify]: Simplify (sqrt 0) into 0 1.220 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.220 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 1.220 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 1.220 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 1.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.220 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.220 * [taylor]: Taking taylor expansion of x in x 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify 1 into 1 1.220 * [backup-simplify]: Simplify (* 1 1) into 1 1.220 * [backup-simplify]: Simplify (* 1 1) into 1 1.221 * [backup-simplify]: Simplify (/ 1 1) into 1 1.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.221 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.221 * [taylor]: Taking taylor expansion of y in x 1.221 * [backup-simplify]: Simplify y into y 1.221 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.221 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.221 * [taylor]: Taking taylor expansion of x in x 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify 1 into 1 1.222 * [backup-simplify]: Simplify (* 1 1) into 1 1.222 * [backup-simplify]: Simplify (/ 1 1) into 1 1.222 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.222 * [taylor]: Taking taylor expansion of y in x 1.222 * [backup-simplify]: Simplify y into y 1.222 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.223 * [backup-simplify]: Simplify (+ 1 0) into 1 1.223 * [backup-simplify]: Simplify (+ 1 0) into 1 1.223 * [backup-simplify]: Simplify (/ 1 1) into 1 1.224 * [backup-simplify]: Simplify (sqrt 1) into 1 1.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.226 * [backup-simplify]: Simplify (+ 0 0) into 0 1.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.227 * [backup-simplify]: Simplify (+ 0 0) into 0 1.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.229 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 1.229 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 1.229 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 1.229 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.229 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.229 * [taylor]: Taking taylor expansion of x in x 1.229 * [backup-simplify]: Simplify 0 into 0 1.229 * [backup-simplify]: Simplify 1 into 1 1.229 * [backup-simplify]: Simplify (* 1 1) into 1 1.230 * [backup-simplify]: Simplify (* 1 1) into 1 1.230 * [backup-simplify]: Simplify (/ 1 1) into 1 1.230 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.230 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.230 * [taylor]: Taking taylor expansion of y in x 1.230 * [backup-simplify]: Simplify y into y 1.230 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.230 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.230 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.230 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.230 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.231 * [taylor]: Taking taylor expansion of x in x 1.231 * [backup-simplify]: Simplify 0 into 0 1.231 * [backup-simplify]: Simplify 1 into 1 1.231 * [backup-simplify]: Simplify (* 1 1) into 1 1.231 * [backup-simplify]: Simplify (/ 1 1) into 1 1.231 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.231 * [taylor]: Taking taylor expansion of y in x 1.231 * [backup-simplify]: Simplify y into y 1.231 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.232 * [backup-simplify]: Simplify (+ 1 0) into 1 1.232 * [backup-simplify]: Simplify (+ 1 0) into 1 1.232 * [backup-simplify]: Simplify (/ 1 1) into 1 1.233 * [backup-simplify]: Simplify (sqrt 1) into 1 1.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.234 * [backup-simplify]: Simplify (+ 0 0) into 0 1.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.235 * [backup-simplify]: Simplify (+ 0 0) into 0 1.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.236 * [taylor]: Taking taylor expansion of 1 in y 1.236 * [backup-simplify]: Simplify 1 into 1 1.236 * [taylor]: Taking taylor expansion of 0 in y 1.236 * [backup-simplify]: Simplify 0 into 0 1.236 * [backup-simplify]: Simplify 1 into 1 1.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.238 * [backup-simplify]: Simplify (+ 0 0) into 0 1.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.239 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 y) 1)) (* 0 (/ 0 1)))) into (- (/ 1 y)) 1.240 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 1.240 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 1.240 * [taylor]: Taking taylor expansion of -1/2 in y 1.240 * [backup-simplify]: Simplify -1/2 into -1/2 1.240 * [taylor]: Taking taylor expansion of y in y 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify 1 into 1 1.241 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.241 * [backup-simplify]: Simplify -1/2 into -1/2 1.241 * [backup-simplify]: Simplify 0 into 0 1.241 * [backup-simplify]: Simplify 0 into 0 1.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.243 * [backup-simplify]: Simplify (+ 0 0) into 0 1.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.244 * [backup-simplify]: Simplify (+ 0 0) into 0 1.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 y) 1)) (* (- (/ 1 y)) (/ 0 1)))) into 0 1.245 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 1.246 * [taylor]: Taking taylor expansion of 0 in y 1.246 * [backup-simplify]: Simplify 0 into 0 1.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 1.246 * [backup-simplify]: Simplify 0 into 0 1.246 * [backup-simplify]: Simplify 0 into 0 1.246 * [backup-simplify]: Simplify 0 into 0 1.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.248 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 1.248 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 1.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.250 * [backup-simplify]: Simplify (+ 0 0) into 0 1.251 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)) (* 0 (/ 0 1)))) into 0 1.252 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 1.252 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 1.252 * [taylor]: Taking taylor expansion of -1/8 in y 1.252 * [backup-simplify]: Simplify -1/8 into -1/8 1.252 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.252 * [taylor]: Taking taylor expansion of y in y 1.252 * [backup-simplify]: Simplify 0 into 0 1.252 * [backup-simplify]: Simplify 1 into 1 1.252 * [backup-simplify]: Simplify (* 1 1) into 1 1.253 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 1.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 1.253 * [backup-simplify]: Simplify 0 into 0 1.254 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 1.254 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.254 * [backup-simplify]: Simplify (- (pow x 4) (* y y)) into (- (pow x 4) (pow y 2)) 1.254 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in (x y) around 0 1.254 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 1.254 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.254 * [taylor]: Taking taylor expansion of x in y 1.254 * [backup-simplify]: Simplify x into x 1.254 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.254 * [taylor]: Taking taylor expansion of y in y 1.254 * [backup-simplify]: Simplify 0 into 0 1.254 * [backup-simplify]: Simplify 1 into 1 1.254 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 1.254 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.254 * [taylor]: Taking taylor expansion of x in x 1.254 * [backup-simplify]: Simplify 0 into 0 1.254 * [backup-simplify]: Simplify 1 into 1 1.254 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.254 * [taylor]: Taking taylor expansion of y in x 1.254 * [backup-simplify]: Simplify y into y 1.254 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 1.254 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.254 * [taylor]: Taking taylor expansion of x in x 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify 1 into 1 1.255 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.255 * [taylor]: Taking taylor expansion of y in x 1.255 * [backup-simplify]: Simplify y into y 1.255 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.255 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 1.255 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 1.255 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 1.255 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.255 * [taylor]: Taking taylor expansion of y in y 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify 1 into 1 1.255 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.255 * [backup-simplify]: Simplify (- 0) into 0 1.256 * [backup-simplify]: Simplify (+ 0 0) into 0 1.256 * [taylor]: Taking taylor expansion of 0 in y 1.256 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.256 * [backup-simplify]: Simplify (- 0) into 0 1.257 * [backup-simplify]: Simplify (+ 0 0) into 0 1.257 * [taylor]: Taking taylor expansion of 0 in y 1.257 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify (* 1 1) into 1 1.257 * [backup-simplify]: Simplify (- 1) into -1 1.257 * [backup-simplify]: Simplify -1 into -1 1.258 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.258 * [backup-simplify]: Simplify (- 0) into 0 1.258 * [backup-simplify]: Simplify (+ 0 0) into 0 1.258 * [taylor]: Taking taylor expansion of 0 in y 1.258 * [backup-simplify]: Simplify 0 into 0 1.258 * [backup-simplify]: Simplify 0 into 0 1.258 * [backup-simplify]: Simplify 0 into 0 1.258 * [backup-simplify]: Simplify 0 into 0 1.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.259 * [backup-simplify]: Simplify (- 0) into 0 1.259 * [backup-simplify]: Simplify 0 into 0 1.259 * [backup-simplify]: Simplify (* 1 1) into 1 1.259 * [backup-simplify]: Simplify (* 1 1) into 1 1.260 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.260 * [backup-simplify]: Simplify (- 0) into 0 1.261 * [backup-simplify]: Simplify (+ 1 0) into 1 1.261 * [taylor]: Taking taylor expansion of 1 in y 1.261 * [backup-simplify]: Simplify 1 into 1 1.261 * [backup-simplify]: Simplify 1 into 1 1.261 * [backup-simplify]: Simplify 0 into 0 1.261 * [backup-simplify]: Simplify 0 into 0 1.261 * [backup-simplify]: Simplify 0 into 0 1.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.262 * [backup-simplify]: Simplify (- 0) into 0 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.263 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 1.264 * [backup-simplify]: Simplify (- 0) into 0 1.264 * [backup-simplify]: Simplify (+ 0 0) into 0 1.264 * [taylor]: Taking taylor expansion of 0 in y 1.264 * [backup-simplify]: Simplify 0 into 0 1.264 * [backup-simplify]: Simplify 0 into 0 1.264 * [backup-simplify]: Simplify 0 into 0 1.264 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 4)) (* -1 (pow (* y 1) 2))) into (- (pow x 4) (pow y 2)) 1.264 * [backup-simplify]: Simplify (- (pow (/ 1 x) 4) (* (/ 1 y) (/ 1 y))) into (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) 1.264 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (x y) around 0 1.264 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 1.264 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.264 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.264 * [taylor]: Taking taylor expansion of x in y 1.265 * [backup-simplify]: Simplify x into x 1.265 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.265 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.265 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.265 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.265 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.265 * [taylor]: Taking taylor expansion of y in y 1.265 * [backup-simplify]: Simplify 0 into 0 1.265 * [backup-simplify]: Simplify 1 into 1 1.265 * [backup-simplify]: Simplify (* 1 1) into 1 1.265 * [backup-simplify]: Simplify (/ 1 1) into 1 1.265 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 1.265 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.265 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.265 * [taylor]: Taking taylor expansion of x in x 1.265 * [backup-simplify]: Simplify 0 into 0 1.265 * [backup-simplify]: Simplify 1 into 1 1.267 * [backup-simplify]: Simplify (* 1 1) into 1 1.268 * [backup-simplify]: Simplify (* 1 1) into 1 1.268 * [backup-simplify]: Simplify (/ 1 1) into 1 1.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.268 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.268 * [taylor]: Taking taylor expansion of y in x 1.268 * [backup-simplify]: Simplify y into y 1.268 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.268 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.268 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 1.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.268 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.268 * [taylor]: Taking taylor expansion of x in x 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [backup-simplify]: Simplify 1 into 1 1.269 * [backup-simplify]: Simplify (* 1 1) into 1 1.269 * [backup-simplify]: Simplify (* 1 1) into 1 1.269 * [backup-simplify]: Simplify (/ 1 1) into 1 1.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.269 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.269 * [taylor]: Taking taylor expansion of y in x 1.269 * [backup-simplify]: Simplify y into y 1.269 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.269 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.270 * [backup-simplify]: Simplify (+ 1 0) into 1 1.270 * [taylor]: Taking taylor expansion of 1 in y 1.270 * [backup-simplify]: Simplify 1 into 1 1.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.271 * [backup-simplify]: Simplify (+ 0 0) into 0 1.271 * [taylor]: Taking taylor expansion of 0 in y 1.271 * [backup-simplify]: Simplify 0 into 0 1.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.273 * [backup-simplify]: Simplify (+ 0 0) into 0 1.273 * [taylor]: Taking taylor expansion of 0 in y 1.273 * [backup-simplify]: Simplify 0 into 0 1.273 * [backup-simplify]: Simplify 1 into 1 1.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.275 * [backup-simplify]: Simplify (+ 0 0) into 0 1.275 * [taylor]: Taking taylor expansion of 0 in y 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [backup-simplify]: Simplify 0 into 0 1.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.278 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 1.278 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 1.278 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.278 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.278 * [taylor]: Taking taylor expansion of y in y 1.278 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify 1 into 1 1.279 * [backup-simplify]: Simplify (* 1 1) into 1 1.279 * [backup-simplify]: Simplify (/ 1 1) into 1 1.279 * [backup-simplify]: Simplify (- 1) into -1 1.279 * [backup-simplify]: Simplify -1 into -1 1.280 * [backup-simplify]: Simplify 0 into 0 1.280 * [backup-simplify]: Simplify 0 into 0 1.280 * [backup-simplify]: Simplify 0 into 0 1.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.284 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.285 * [backup-simplify]: Simplify (- 0) into 0 1.285 * [backup-simplify]: Simplify (+ 0 0) into 0 1.285 * [taylor]: Taking taylor expansion of 0 in y 1.285 * [backup-simplify]: Simplify 0 into 0 1.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.287 * [backup-simplify]: Simplify (- 0) into 0 1.287 * [backup-simplify]: Simplify 0 into 0 1.287 * [backup-simplify]: Simplify 0 into 0 1.287 * [backup-simplify]: Simplify 0 into 0 1.288 * [backup-simplify]: Simplify (+ (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 4))) into (- (pow x 4) (pow y 2)) 1.289 * [backup-simplify]: Simplify (- (pow (/ 1 (- x)) 4) (* (/ 1 (- y)) (/ 1 (- y)))) into (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) 1.289 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (x y) around 0 1.289 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 1.289 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.289 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.289 * [taylor]: Taking taylor expansion of x in y 1.289 * [backup-simplify]: Simplify x into x 1.289 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.289 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.289 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 1.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.289 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.289 * [taylor]: Taking taylor expansion of y in y 1.289 * [backup-simplify]: Simplify 0 into 0 1.289 * [backup-simplify]: Simplify 1 into 1 1.290 * [backup-simplify]: Simplify (* 1 1) into 1 1.290 * [backup-simplify]: Simplify (/ 1 1) into 1 1.290 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 1.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.290 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.291 * [taylor]: Taking taylor expansion of x in x 1.291 * [backup-simplify]: Simplify 0 into 0 1.291 * [backup-simplify]: Simplify 1 into 1 1.291 * [backup-simplify]: Simplify (* 1 1) into 1 1.291 * [backup-simplify]: Simplify (* 1 1) into 1 1.292 * [backup-simplify]: Simplify (/ 1 1) into 1 1.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.292 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.292 * [taylor]: Taking taylor expansion of y in x 1.292 * [backup-simplify]: Simplify y into y 1.292 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.292 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.292 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 1.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.292 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.292 * [taylor]: Taking taylor expansion of x in x 1.292 * [backup-simplify]: Simplify 0 into 0 1.292 * [backup-simplify]: Simplify 1 into 1 1.293 * [backup-simplify]: Simplify (* 1 1) into 1 1.293 * [backup-simplify]: Simplify (* 1 1) into 1 1.293 * [backup-simplify]: Simplify (/ 1 1) into 1 1.293 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.294 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.294 * [taylor]: Taking taylor expansion of y in x 1.294 * [backup-simplify]: Simplify y into y 1.294 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.294 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.294 * [backup-simplify]: Simplify (+ 1 0) into 1 1.294 * [taylor]: Taking taylor expansion of 1 in y 1.294 * [backup-simplify]: Simplify 1 into 1 1.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.297 * [backup-simplify]: Simplify (+ 0 0) into 0 1.297 * [taylor]: Taking taylor expansion of 0 in y 1.297 * [backup-simplify]: Simplify 0 into 0 1.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.300 * [backup-simplify]: Simplify (+ 0 0) into 0 1.300 * [taylor]: Taking taylor expansion of 0 in y 1.300 * [backup-simplify]: Simplify 0 into 0 1.300 * [backup-simplify]: Simplify 1 into 1 1.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.304 * [backup-simplify]: Simplify (+ 0 0) into 0 1.304 * [taylor]: Taking taylor expansion of 0 in y 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.308 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 1.308 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 1.308 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.308 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.308 * [taylor]: Taking taylor expansion of y in y 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 1 into 1 1.309 * [backup-simplify]: Simplify (* 1 1) into 1 1.309 * [backup-simplify]: Simplify (/ 1 1) into 1 1.309 * [backup-simplify]: Simplify (- 1) into -1 1.309 * [backup-simplify]: Simplify -1 into -1 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 0 into 0 1.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.313 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.314 * [backup-simplify]: Simplify (- 0) into 0 1.315 * [backup-simplify]: Simplify (+ 0 0) into 0 1.315 * [taylor]: Taking taylor expansion of 0 in y 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.317 * [backup-simplify]: Simplify (- 0) into 0 1.317 * [backup-simplify]: Simplify 0 into 0 1.317 * [backup-simplify]: Simplify 0 into 0 1.317 * [backup-simplify]: Simplify 0 into 0 1.317 * [backup-simplify]: Simplify (+ (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 4))) into (- (pow x 4) (pow y 2)) 1.317 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.318 * [backup-simplify]: Simplify (- (pow x 2) y) into (- (pow x 2) y) 1.318 * [approximate]: Taking taylor expansion of (- (pow x 2) y) in (x y) around 0 1.318 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 1.318 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.318 * [taylor]: Taking taylor expansion of x in y 1.318 * [backup-simplify]: Simplify x into x 1.318 * [taylor]: Taking taylor expansion of y in y 1.318 * [backup-simplify]: Simplify 0 into 0 1.318 * [backup-simplify]: Simplify 1 into 1 1.318 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 1.318 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.318 * [taylor]: Taking taylor expansion of x in x 1.318 * [backup-simplify]: Simplify 0 into 0 1.318 * [backup-simplify]: Simplify 1 into 1 1.318 * [taylor]: Taking taylor expansion of y in x 1.318 * [backup-simplify]: Simplify y into y 1.318 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 1.318 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.318 * [taylor]: Taking taylor expansion of x in x 1.318 * [backup-simplify]: Simplify 0 into 0 1.318 * [backup-simplify]: Simplify 1 into 1 1.318 * [taylor]: Taking taylor expansion of y in x 1.318 * [backup-simplify]: Simplify y into y 1.318 * [backup-simplify]: Simplify (- y) into (- y) 1.318 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 1.318 * [taylor]: Taking taylor expansion of (- y) in y 1.318 * [taylor]: Taking taylor expansion of y in y 1.318 * [backup-simplify]: Simplify 0 into 0 1.318 * [backup-simplify]: Simplify 1 into 1 1.319 * [backup-simplify]: Simplify (- 0) into 0 1.319 * [backup-simplify]: Simplify 0 into 0 1.319 * [backup-simplify]: Simplify (- 0) into 0 1.320 * [backup-simplify]: Simplify (+ 0 0) into 0 1.320 * [taylor]: Taking taylor expansion of 0 in y 1.320 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify (- 1) into -1 1.320 * [backup-simplify]: Simplify -1 into -1 1.321 * [backup-simplify]: Simplify (* 1 1) into 1 1.321 * [backup-simplify]: Simplify (- 0) into 0 1.321 * [backup-simplify]: Simplify (+ 1 0) into 1 1.321 * [taylor]: Taking taylor expansion of 1 in y 1.322 * [backup-simplify]: Simplify 1 into 1 1.322 * [backup-simplify]: Simplify 1 into 1 1.322 * [backup-simplify]: Simplify 0 into 0 1.322 * [backup-simplify]: Simplify (- 0) into 0 1.322 * [backup-simplify]: Simplify 0 into 0 1.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.323 * [backup-simplify]: Simplify (- 0) into 0 1.323 * [backup-simplify]: Simplify (+ 0 0) into 0 1.324 * [taylor]: Taking taylor expansion of 0 in y 1.324 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify (- 0) into 0 1.324 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* -1 (* y 1))) into (- (pow x 2) y) 1.325 * [backup-simplify]: Simplify (- (pow (/ 1 x) 2) (/ 1 y)) into (- (/ 1 (pow x 2)) (/ 1 y)) 1.325 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 1.325 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 1.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.325 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.325 * [taylor]: Taking taylor expansion of x in y 1.325 * [backup-simplify]: Simplify x into x 1.325 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.325 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.325 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.325 * [taylor]: Taking taylor expansion of y in y 1.325 * [backup-simplify]: Simplify 0 into 0 1.325 * [backup-simplify]: Simplify 1 into 1 1.326 * [backup-simplify]: Simplify (/ 1 1) into 1 1.326 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.326 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.326 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.326 * [taylor]: Taking taylor expansion of x in x 1.326 * [backup-simplify]: Simplify 0 into 0 1.326 * [backup-simplify]: Simplify 1 into 1 1.326 * [backup-simplify]: Simplify (* 1 1) into 1 1.327 * [backup-simplify]: Simplify (/ 1 1) into 1 1.327 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.327 * [taylor]: Taking taylor expansion of y in x 1.327 * [backup-simplify]: Simplify y into y 1.327 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.327 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.327 * [taylor]: Taking taylor expansion of x in x 1.327 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify 1 into 1 1.327 * [backup-simplify]: Simplify (* 1 1) into 1 1.328 * [backup-simplify]: Simplify (/ 1 1) into 1 1.328 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.328 * [taylor]: Taking taylor expansion of y in x 1.328 * [backup-simplify]: Simplify y into y 1.328 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.328 * [backup-simplify]: Simplify (+ 1 0) into 1 1.328 * [taylor]: Taking taylor expansion of 1 in y 1.328 * [backup-simplify]: Simplify 1 into 1 1.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.330 * [backup-simplify]: Simplify (+ 0 0) into 0 1.330 * [taylor]: Taking taylor expansion of 0 in y 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify 1 into 1 1.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.332 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 1.332 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.333 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.333 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.333 * [taylor]: Taking taylor expansion of y in y 1.333 * [backup-simplify]: Simplify 0 into 0 1.333 * [backup-simplify]: Simplify 1 into 1 1.333 * [backup-simplify]: Simplify (/ 1 1) into 1 1.333 * [backup-simplify]: Simplify (- 1) into -1 1.333 * [backup-simplify]: Simplify -1 into -1 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify 0 into 0 1.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.336 * [backup-simplify]: Simplify (- 0) into 0 1.337 * [backup-simplify]: Simplify (+ 0 0) into 0 1.337 * [taylor]: Taking taylor expansion of 0 in y 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.338 * [backup-simplify]: Simplify (- 0) into 0 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.341 * [backup-simplify]: Simplify (- 0) into 0 1.341 * [backup-simplify]: Simplify (+ 0 0) into 0 1.341 * [taylor]: Taking taylor expansion of 0 in y 1.341 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (- (pow x 2) y) 1.342 * [backup-simplify]: Simplify (- (pow (/ 1 (- x)) 2) (/ 1 (- y))) into (+ (/ 1 (pow x 2)) (/ 1 y)) 1.342 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 1.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 1.342 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.342 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.342 * [taylor]: Taking taylor expansion of x in y 1.342 * [backup-simplify]: Simplify x into x 1.342 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.342 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.342 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.342 * [taylor]: Taking taylor expansion of y in y 1.343 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify 1 into 1 1.343 * [backup-simplify]: Simplify (/ 1 1) into 1 1.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.343 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.343 * [taylor]: Taking taylor expansion of x in x 1.343 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify 1 into 1 1.344 * [backup-simplify]: Simplify (* 1 1) into 1 1.344 * [backup-simplify]: Simplify (/ 1 1) into 1 1.344 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.344 * [taylor]: Taking taylor expansion of y in x 1.344 * [backup-simplify]: Simplify y into y 1.344 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.344 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.344 * [taylor]: Taking taylor expansion of x in x 1.344 * [backup-simplify]: Simplify 0 into 0 1.344 * [backup-simplify]: Simplify 1 into 1 1.345 * [backup-simplify]: Simplify (* 1 1) into 1 1.345 * [backup-simplify]: Simplify (/ 1 1) into 1 1.345 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.345 * [taylor]: Taking taylor expansion of y in x 1.345 * [backup-simplify]: Simplify y into y 1.345 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.346 * [backup-simplify]: Simplify (+ 1 0) into 1 1.346 * [taylor]: Taking taylor expansion of 1 in y 1.346 * [backup-simplify]: Simplify 1 into 1 1.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.348 * [backup-simplify]: Simplify (+ 0 0) into 0 1.348 * [taylor]: Taking taylor expansion of 0 in y 1.348 * [backup-simplify]: Simplify 0 into 0 1.348 * [backup-simplify]: Simplify 1 into 1 1.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.350 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.350 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.350 * [taylor]: Taking taylor expansion of y in y 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify 1 into 1 1.351 * [backup-simplify]: Simplify (/ 1 1) into 1 1.351 * [backup-simplify]: Simplify 1 into 1 1.351 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify 0 into 0 1.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.353 * [backup-simplify]: Simplify (+ 0 0) into 0 1.353 * [taylor]: Taking taylor expansion of 0 in y 1.353 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.357 * [backup-simplify]: Simplify (+ 0 0) into 0 1.357 * [taylor]: Taking taylor expansion of 0 in y 1.357 * [backup-simplify]: Simplify 0 into 0 1.357 * [backup-simplify]: Simplify 0 into 0 1.358 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (- (pow x 2) y) 1.358 * * * [progress]: simplifying candidates 1.364 * [simplify]: Simplifying: (- (log (- (pow x 4) (* y y))) (log (- (pow x 2) y))) (log (/ (- (pow x 4) (* y y)) (- (pow x 2) y))) (exp (/ (- (pow x 4) (* y y)) (- (pow x 2) y))) (/ (* (* (- (pow x 4) (* y y)) (- (pow x 4) (* y y))) (- (pow x 4) (* y y))) (* (* (- (pow x 2) y) (- (pow x 2) y)) (- (pow x 2) y))) (* (cbrt (/ (- (pow x 4) (* y y)) (- (pow x 2) y))) (cbrt (/ (- (pow x 4) (* y y)) (- (pow x 2) y)))) (cbrt (/ (- (pow x 4) (* y y)) (- (pow x 2) y))) (* (* (/ (- (pow x 4) (* y y)) (- (pow x 2) y)) (/ (- (pow x 4) (* y y)) (- (pow x 2) y))) (/ (- (pow x 4) (* y y)) (- (pow x 2) y))) (sqrt (/ (- (pow x 4) (* y y)) (- (pow x 2) y))) (sqrt (/ (- (pow x 4) (* y y)) (- (pow x 2) y))) (- (- (pow x 4) (* y y))) (- (- (pow x 2) y)) (/ (pow x 4) (- (pow x 2) y)) (/ (* y y) (- (pow x 2) y)) (/ (* (cbrt (- (pow x 4) (* y y))) (cbrt (- (pow x 4) (* y y)))) (* (cbrt (- (pow x 2) y)) (cbrt (- (pow x 2) y)))) (/ (cbrt (- (pow x 4) (* y y))) (cbrt (- (pow x 2) y))) (/ (* (cbrt (- (pow x 4) (* y y))) (cbrt (- (pow x 4) (* y y)))) (sqrt (- (pow x 2) y))) (/ (cbrt (- (pow x 4) (* y y))) (sqrt (- (pow x 2) y))) (/ (* (cbrt (- (pow x 4) (* y y))) (cbrt (- (pow x 4) (* y y)))) 1) (/ (cbrt (- (pow x 4) (* y y))) (- (pow x 2) y)) (/ (* (cbrt (- (pow x 4) (* y y))) (cbrt (- (pow x 4) (* y y)))) (+ (pow (sqrt x) 2) (sqrt y))) (/ (cbrt (- (pow x 4) (* y y))) (- (pow (sqrt x) 2) (sqrt y))) (/ (* (cbrt (- (pow x 4) (* y y))) (cbrt (- (pow x 4) (* y y)))) (+ x (sqrt y))) (/ (cbrt (- (pow x 4) (* y y))) (- x (sqrt y))) (/ (* (cbrt (- (pow x 4) (* y y))) (cbrt (- (pow x 4) (* y y)))) (+ (sqrt (pow x 2)) (sqrt y))) (/ (cbrt (- (pow x 4) (* y y))) (- (sqrt (pow x 2)) (sqrt y))) (/ (* (cbrt (- (pow x 4) (* y y))) (cbrt (- (pow x 4) (* y y)))) (+ (pow x (/ 2 2)) (sqrt y))) (/ (cbrt (- (pow x 4) (* y y))) (- (pow x (/ 2 2)) (sqrt y))) (/ (* (cbrt (- (pow x 4) (* y y))) (cbrt (- (pow x 4) (* y y)))) 1) (/ 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(sqrt (pow x 2)) (sqrt y)) (+ (pow x (/ 2 2)) (sqrt y)) (- (pow x (/ 2 2)) (sqrt y)) (- (pow x 2) y) (- y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) 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 4) (pow y 2)) (- (pow x 4) (pow y 2)) (- (pow x 4) (pow y 2)) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) 1.371 * * [simplify]: iteration 0: 303 enodes 1.478 * * [simplify]: iteration 1: 615 enodes 1.762 * * [simplify]: iteration 2: 2409 enodes 2.479 * * [simplify]: iteration complete: 5001 enodes 2.479 * * [simplify]: Extracting #0: cost 159 inf + 0 2.481 * * [simplify]: Extracting #1: cost 971 inf + 2 2.486 * * [simplify]: Extracting #2: cost 2080 inf + 205 2.493 * * [simplify]: Extracting #3: cost 1718 inf + 5189 2.504 * * [simplify]: Extracting #4: cost 349 inf + 19293 2.522 * * [simplify]: Extracting #5: cost 80 inf + 24075 2.535 * * [simplify]: Extracting #6: cost 30 inf + 24665 2.549 * * 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x x) 3) (pow y 3)) (+ (* (+ y (* x x)) y) (pow x 4)) (- y) (- (pow x 4) (* y y)) (+ y (* x x)) (+ (sqrt y) x) (- x (sqrt y)) (+ (sqrt y) x) (- x (sqrt y)) (+ (sqrt y) (fabs x)) (- (fabs x) (sqrt y)) (+ (sqrt y) x) (- x (sqrt y)) (- (* x x) y) (- y) (+ y (* x x)) (+ y (* x x)) (+ y (* x x)) (+ (* (- (* y y)) +nan.0) (* +nan.0 (- (* x x) y))) (+ x (/ (* 1/2 y) x)) (- (+ x (/ (* 1/2 y) x))) (- (pow x 4) (* y y)) (- (pow x 4) (* y y)) (- (pow x 4) (* y y)) (- (* x x) y) (- (* x x) y) (- (* x x) y) 2.566 * * * [progress]: adding candidates to table 3.489 * * [progress]: iteration 3 / 4 3.489 * * * [progress]: picking best candidate 3.502 * * * * [pick]: Picked # 3.503 * * * [progress]: localizing error 3.517 * * * [progress]: generating rewritten candidates 3.517 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 3.537 * * * [progress]: generating series expansions 3.537 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 3.537 * [backup-simplify]: Simplify (/ -1/2 (/ x y)) into (* -1/2 (/ y x)) 3.537 * [approximate]: Taking taylor expansion of (* -1/2 (/ y x)) in (x y) around 0 3.537 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 3.537 * [taylor]: Taking taylor expansion of -1/2 in y 3.537 * [backup-simplify]: Simplify -1/2 into -1/2 3.537 * [taylor]: Taking taylor expansion of (/ y x) in y 3.537 * [taylor]: Taking taylor expansion of y in y 3.537 * [backup-simplify]: Simplify 0 into 0 3.537 * [backup-simplify]: Simplify 1 into 1 3.537 * [taylor]: Taking taylor expansion of x in y 3.537 * [backup-simplify]: Simplify x into x 3.538 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.538 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 3.538 * [taylor]: Taking taylor expansion of -1/2 in x 3.538 * [backup-simplify]: Simplify -1/2 into -1/2 3.538 * [taylor]: Taking taylor expansion of (/ y x) in x 3.538 * [taylor]: Taking taylor expansion of y in x 3.538 * [backup-simplify]: Simplify y into y 3.538 * [taylor]: Taking taylor expansion of x in x 3.538 * [backup-simplify]: Simplify 0 into 0 3.538 * [backup-simplify]: Simplify 1 into 1 3.538 * [backup-simplify]: Simplify (/ y 1) into y 3.538 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 3.538 * [taylor]: Taking taylor expansion of -1/2 in x 3.538 * [backup-simplify]: Simplify -1/2 into -1/2 3.538 * [taylor]: Taking taylor expansion of (/ y x) in x 3.538 * [taylor]: Taking taylor expansion of y in x 3.538 * [backup-simplify]: Simplify y into y 3.538 * [taylor]: Taking taylor expansion of x in x 3.538 * [backup-simplify]: Simplify 0 into 0 3.538 * [backup-simplify]: Simplify 1 into 1 3.538 * [backup-simplify]: Simplify (/ y 1) into y 3.538 * [backup-simplify]: Simplify (* -1/2 y) into (* -1/2 y) 3.538 * [taylor]: Taking taylor expansion of (* -1/2 y) in y 3.538 * [taylor]: Taking taylor expansion of -1/2 in y 3.538 * [backup-simplify]: Simplify -1/2 into -1/2 3.538 * [taylor]: Taking taylor expansion of y in y 3.538 * [backup-simplify]: Simplify 0 into 0 3.538 * [backup-simplify]: Simplify 1 into 1 3.539 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 3.539 * [backup-simplify]: Simplify -1/2 into -1/2 3.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 3.541 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 y)) into 0 3.541 * [taylor]: Taking taylor expansion of 0 in y 3.541 * [backup-simplify]: Simplify 0 into 0 3.541 * [backup-simplify]: Simplify 0 into 0 3.542 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.542 * [backup-simplify]: Simplify 0 into 0 3.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.544 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 y))) into 0 3.544 * [taylor]: Taking taylor expansion of 0 in y 3.544 * [backup-simplify]: Simplify 0 into 0 3.544 * [backup-simplify]: Simplify 0 into 0 3.544 * [backup-simplify]: Simplify 0 into 0 3.545 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.546 * [backup-simplify]: Simplify 0 into 0 3.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.549 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.549 * [taylor]: Taking taylor expansion of 0 in y 3.549 * [backup-simplify]: Simplify 0 into 0 3.549 * [backup-simplify]: Simplify 0 into 0 3.549 * [backup-simplify]: Simplify (* -1/2 (* y (/ 1 x))) into (* -1/2 (/ y x)) 3.549 * [backup-simplify]: Simplify (/ -1/2 (/ (/ 1 x) (/ 1 y))) into (* -1/2 (/ x y)) 3.549 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (x y) around 0 3.549 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 3.549 * [taylor]: Taking taylor expansion of -1/2 in y 3.549 * [backup-simplify]: Simplify -1/2 into -1/2 3.549 * [taylor]: Taking taylor expansion of (/ x y) in y 3.549 * [taylor]: Taking taylor expansion of x in y 3.549 * [backup-simplify]: Simplify x into x 3.549 * [taylor]: Taking taylor expansion of y in y 3.549 * [backup-simplify]: Simplify 0 into 0 3.549 * [backup-simplify]: Simplify 1 into 1 3.549 * [backup-simplify]: Simplify (/ x 1) into x 3.549 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 3.549 * [taylor]: Taking taylor expansion of -1/2 in x 3.549 * [backup-simplify]: Simplify -1/2 into -1/2 3.549 * [taylor]: Taking taylor expansion of (/ x y) in x 3.549 * [taylor]: Taking taylor expansion of x in x 3.549 * [backup-simplify]: Simplify 0 into 0 3.550 * [backup-simplify]: Simplify 1 into 1 3.550 * [taylor]: Taking taylor expansion of y in x 3.550 * [backup-simplify]: Simplify y into y 3.550 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.550 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 3.550 * [taylor]: Taking taylor expansion of -1/2 in x 3.550 * [backup-simplify]: Simplify -1/2 into -1/2 3.550 * [taylor]: Taking taylor expansion of (/ x y) in x 3.550 * [taylor]: Taking taylor expansion of x in x 3.550 * [backup-simplify]: Simplify 0 into 0 3.550 * [backup-simplify]: Simplify 1 into 1 3.550 * [taylor]: Taking taylor expansion of y in x 3.550 * [backup-simplify]: Simplify y into y 3.550 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.550 * [backup-simplify]: Simplify (* -1/2 (/ 1 y)) into (/ -1/2 y) 3.550 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 3.550 * [taylor]: Taking taylor expansion of -1/2 in y 3.550 * [backup-simplify]: Simplify -1/2 into -1/2 3.550 * [taylor]: Taking taylor expansion of y in y 3.550 * [backup-simplify]: Simplify 0 into 0 3.550 * [backup-simplify]: Simplify 1 into 1 3.551 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.551 * [backup-simplify]: Simplify -1/2 into -1/2 3.551 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 3.551 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ 1 y))) into 0 3.551 * [taylor]: Taking taylor expansion of 0 in y 3.551 * [backup-simplify]: Simplify 0 into 0 3.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 3.552 * [backup-simplify]: Simplify 0 into 0 3.553 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.554 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 3.554 * [taylor]: Taking taylor expansion of 0 in y 3.554 * [backup-simplify]: Simplify 0 into 0 3.554 * [backup-simplify]: Simplify 0 into 0 3.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.555 * [backup-simplify]: Simplify 0 into 0 3.555 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.556 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 3.556 * [taylor]: Taking taylor expansion of 0 in y 3.556 * [backup-simplify]: Simplify 0 into 0 3.556 * [backup-simplify]: Simplify 0 into 0 3.556 * [backup-simplify]: Simplify 0 into 0 3.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.557 * [backup-simplify]: Simplify 0 into 0 3.557 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) into (* -1/2 (/ y x)) 3.558 * [backup-simplify]: Simplify (/ -1/2 (/ (/ 1 (- x)) (/ 1 (- y)))) into (* -1/2 (/ x y)) 3.558 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (x y) around 0 3.558 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 3.558 * [taylor]: Taking taylor expansion of -1/2 in y 3.558 * [backup-simplify]: Simplify -1/2 into -1/2 3.558 * [taylor]: Taking taylor expansion of (/ x y) in y 3.558 * [taylor]: Taking taylor expansion of x in y 3.558 * [backup-simplify]: Simplify x into x 3.558 * [taylor]: Taking taylor expansion of y in y 3.558 * [backup-simplify]: Simplify 0 into 0 3.558 * [backup-simplify]: Simplify 1 into 1 3.558 * [backup-simplify]: Simplify (/ x 1) into x 3.558 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 3.558 * [taylor]: Taking taylor expansion of -1/2 in x 3.558 * [backup-simplify]: Simplify -1/2 into -1/2 3.558 * [taylor]: Taking taylor expansion of (/ x y) in x 3.558 * [taylor]: Taking taylor expansion of x in x 3.558 * [backup-simplify]: Simplify 0 into 0 3.558 * [backup-simplify]: Simplify 1 into 1 3.558 * [taylor]: Taking taylor expansion of y in x 3.558 * [backup-simplify]: Simplify y into y 3.558 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.558 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 3.558 * [taylor]: Taking taylor expansion of -1/2 in x 3.558 * [backup-simplify]: Simplify -1/2 into -1/2 3.558 * [taylor]: Taking taylor expansion of (/ x y) in x 3.558 * [taylor]: Taking taylor expansion of x in x 3.558 * [backup-simplify]: Simplify 0 into 0 3.558 * [backup-simplify]: Simplify 1 into 1 3.558 * [taylor]: Taking taylor expansion of y in x 3.559 * [backup-simplify]: Simplify y into y 3.559 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.559 * [backup-simplify]: Simplify (* -1/2 (/ 1 y)) into (/ -1/2 y) 3.559 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 3.559 * [taylor]: Taking taylor expansion of -1/2 in y 3.559 * [backup-simplify]: Simplify -1/2 into -1/2 3.559 * [taylor]: Taking taylor expansion of y in y 3.559 * [backup-simplify]: Simplify 0 into 0 3.559 * [backup-simplify]: Simplify 1 into 1 3.559 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.559 * [backup-simplify]: Simplify -1/2 into -1/2 3.560 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 3.560 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ 1 y))) into 0 3.560 * [taylor]: Taking taylor expansion of 0 in y 3.560 * [backup-simplify]: Simplify 0 into 0 3.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 3.561 * [backup-simplify]: Simplify 0 into 0 3.561 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.562 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 3.562 * [taylor]: Taking taylor expansion of 0 in y 3.562 * [backup-simplify]: Simplify 0 into 0 3.562 * [backup-simplify]: Simplify 0 into 0 3.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.563 * [backup-simplify]: Simplify 0 into 0 3.563 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.565 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 3.565 * [taylor]: Taking taylor expansion of 0 in y 3.565 * [backup-simplify]: Simplify 0 into 0 3.565 * [backup-simplify]: Simplify 0 into 0 3.565 * [backup-simplify]: Simplify 0 into 0 3.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.566 * [backup-simplify]: Simplify 0 into 0 3.566 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) into (* -1/2 (/ y x)) 3.566 * * * [progress]: simplifying candidates 3.568 * [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)) 3.570 * * [simplify]: iteration 0: 150 enodes 3.613 * * [simplify]: iteration 1: 378 enodes 3.750 * * [simplify]: iteration 2: 1531 enodes 4.362 * * [simplify]: iteration complete: 5001 enodes 4.362 * * [simplify]: Extracting #0: cost 93 inf + 0 4.365 * * [simplify]: Extracting #1: cost 1183 inf + 3 4.370 * * [simplify]: Extracting #2: cost 1299 inf + 1570 4.375 * * [simplify]: Extracting #3: cost 424 inf + 7777 4.381 * * [simplify]: Extracting #4: cost 27 inf + 11118 4.388 * * [simplify]: Extracting #5: cost 2 inf + 11340 4.399 * * [simplify]: Extracting #6: cost 0 inf + 11362 4.405 * [simplify]: Simplified to: (log (/ (* y -1/2) x)) (log (/ (* y -1/2) x)) (log (/ (* y -1/2) x)) (exp (/ (* y -1/2) x)) (pow (/ (* y -1/2) x) 3) (pow (/ (* y -1/2) x) 3) (* (cbrt (/ (* y -1/2) x)) (cbrt (/ (* y -1/2) x))) (cbrt (/ (* y -1/2) x)) (pow (/ (* y -1/2) x) 3) (sqrt (/ (* y -1/2) x)) (sqrt (/ (* y -1/2) x)) 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 x)) (/ (cbrt -1/2) (cbrt x))) (cbrt y)) (cbrt y)) (/ (* (cbrt -1/2) (cbrt y)) (cbrt x)) (/ (* (sqrt y) (cbrt -1/2)) (/ (* (cbrt x) (cbrt x)) (cbrt -1/2))) (/ (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) (sqrt x)) (* (* (cbrt -1/2) (cbrt y)) (cbrt y))) (* (/ (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 -1/2)) (cbrt y)) (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))) (/ (* (* (sqrt -1/2) (cbrt y)) (cbrt y)) (* (cbrt x) (cbrt x))) (/ (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 x))) (* (cbrt y) (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) 4.405 * * * [progress]: adding candidates to table 4.715 * * [progress]: iteration 4 / 4 4.716 * * * [progress]: picking best candidate 4.721 * * * * [pick]: Picked # 4.721 * * * [progress]: localizing error 4.734 * * * [progress]: generating rewritten candidates 4.734 * * * [progress]: generating series expansions 4.734 * * * [progress]: simplifying candidates 4.734 * [simplify]: Simplifying: 4.734 * * [simplify]: iteration 0: 0 enodes 4.734 * * [simplify]: iteration complete: 0 enodes 4.734 * * [simplify]: Extracting #0: cost 0 inf + 0 4.734 * [simplify]: Simplified to: 4.734 * * * [progress]: adding candidates to table 4.735 * [progress]: [Phase 3 of 3] Extracting. 4.735 * * [regime]: Finding splitpoints for: (# # # #) 4.735 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 4.735 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 4.778 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # # #) 4.816 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # # #) 4.889 * * * * [regimes]: Trying to branch on y from (# # # #) 4.948 * * * * [regimes]: Trying to branch on x from (# # # #) 5.013 * * * [regime]: Found split indices: #