47.265 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.042 * * * [progress]: [2/2] Setting up program. 0.045 * [progress]: [Phase 2 of 3] Improving. 0.046 * [simplify]: Simplifying: (+ (* x x) (* y y)) 0.069 * * [progress]: iteration 1 / 4 0.069 * * * [progress]: picking best candidate 0.071 * * * * [pick]: Picked # 0.071 * * * [progress]: localizing error 0.083 * * * [progress]: generating rewritten candidates 0.083 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.101 * * * [progress]: generating series expansions 0.101 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.101 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 0.101 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.101 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.101 * [taylor]: Taking taylor expansion of x in y 0.101 * [backup-simplify]: Simplify x into x 0.101 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.101 * [taylor]: Taking taylor expansion of y in y 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.102 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.102 * [backup-simplify]: Simplify y into y 0.102 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.102 * [backup-simplify]: Simplify y into y 0.102 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.102 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.102 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.102 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (* 1 1) into 1 0.105 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.105 * [backup-simplify]: Simplify (+ 1 0) into 1 0.105 * [taylor]: Taking taylor expansion of 1 in y 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (* 1 1) into 1 0.106 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.107 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.111 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.113 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.113 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.113 * [taylor]: Taking taylor expansion of x in y 0.113 * [backup-simplify]: Simplify x into x 0.113 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.113 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (* 1 1) into 1 0.114 * [backup-simplify]: Simplify (/ 1 1) into 1 0.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.114 * [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 (pow y 2)) in x 0.115 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.116 * [taylor]: Taking taylor expansion of y in x 0.116 * [backup-simplify]: Simplify y into y 0.116 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.116 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (* 1 1) into 1 0.117 * [backup-simplify]: Simplify (/ 1 1) into 1 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.117 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.117 * [taylor]: Taking taylor expansion of y in x 0.117 * [backup-simplify]: Simplify y into y 0.117 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.117 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.118 * [backup-simplify]: Simplify (+ 1 0) into 1 0.118 * [taylor]: Taking taylor expansion of 1 in y 0.118 * [backup-simplify]: Simplify 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 * [taylor]: Taking taylor expansion of 0 in y 0.120 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.122 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (* 1 1) into 1 0.136 * [backup-simplify]: Simplify (/ 1 1) into 1 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [taylor]: Taking taylor expansion of 0 in y 0.140 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [taylor]: Taking taylor expansion of 0 in y 0.146 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.149 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.149 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.149 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.149 * [taylor]: Taking taylor expansion of x in y 0.149 * [backup-simplify]: Simplify x into x 0.150 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.150 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.150 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (* 1 1) into 1 0.151 * [backup-simplify]: Simplify (/ 1 1) into 1 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (* 1 1) into 1 0.152 * [backup-simplify]: Simplify (/ 1 1) into 1 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.152 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.152 * [backup-simplify]: Simplify y into y 0.152 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.152 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.152 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (* 1 1) into 1 0.153 * [backup-simplify]: Simplify (/ 1 1) into 1 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.154 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.154 * [taylor]: Taking taylor expansion of y in x 0.154 * [backup-simplify]: Simplify y into y 0.154 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.154 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.154 * [backup-simplify]: Simplify (+ 1 0) into 1 0.154 * [taylor]: Taking taylor expansion of 1 in y 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [taylor]: Taking taylor expansion of 0 in y 0.157 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.159 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (* 1 1) into 1 0.160 * [backup-simplify]: Simplify (/ 1 1) into 1 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) 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 0.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) 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 0.171 * [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 into 0 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.173 * * * [progress]: simplifying candidates 0.174 * [simplify]: Simplifying: (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 1.114 * * * [progress]: adding candidates to table 1.144 * * [progress]: iteration 2 / 4 1.144 * * * [progress]: picking best candidate 1.148 * * * * [pick]: Picked # 1.148 * * * [progress]: localizing error 1.167 * * * [progress]: generating rewritten candidates 1.167 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.194 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.212 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.287 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.315 * * * [progress]: generating series expansions 1.316 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.316 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 1.316 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.316 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.317 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) 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 (pow y 2) 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 1.318 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.319 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.319 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.319 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.320 * [backup-simplify]: Simplify (+ 0 0) into 0 1.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.320 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.320 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.320 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.320 * [taylor]: Taking taylor expansion of x in x 1.320 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify 1 into 1 1.320 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.321 * [taylor]: Taking taylor expansion of y in x 1.321 * [backup-simplify]: Simplify y into y 1.321 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.321 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.321 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.321 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.322 * [backup-simplify]: Simplify (+ 0 0) into 0 1.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.323 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.323 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.323 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.323 * [taylor]: Taking taylor expansion of x in x 1.323 * [backup-simplify]: Simplify 0 into 0 1.323 * [backup-simplify]: Simplify 1 into 1 1.323 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.323 * [taylor]: Taking taylor expansion of y in x 1.323 * [backup-simplify]: Simplify y into y 1.323 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.323 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.323 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.324 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.324 * [backup-simplify]: Simplify (+ 0 0) into 0 1.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 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 1.325 * [backup-simplify]: Simplify 0 into 0 1.325 * [taylor]: Taking taylor expansion of 0 in y 1.325 * [backup-simplify]: Simplify 0 into 0 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 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.327 * [backup-simplify]: Simplify (+ 1 0) into 1 1.328 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 1.328 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.328 * [taylor]: Taking taylor expansion of 1/2 in y 1.328 * [backup-simplify]: Simplify 1/2 into 1/2 1.328 * [taylor]: Taking taylor expansion of y in y 1.328 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify 1 into 1 1.328 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.329 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.331 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.332 * [backup-simplify]: Simplify (+ 0 0) into 0 1.332 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 1.332 * [taylor]: Taking taylor expansion of 0 in y 1.332 * [backup-simplify]: Simplify 0 into 0 1.332 * [backup-simplify]: Simplify 0 into 0 1.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.333 * [backup-simplify]: Simplify 0 into 0 1.333 * [backup-simplify]: Simplify 0 into 0 1.333 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 1.334 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.334 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.334 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.334 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.334 * [taylor]: Taking taylor expansion of x in y 1.334 * [backup-simplify]: Simplify x into x 1.334 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.334 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.334 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.334 * [taylor]: Taking taylor expansion of y in y 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify 1 into 1 1.335 * [backup-simplify]: Simplify (* 1 1) into 1 1.335 * [backup-simplify]: Simplify (/ 1 1) into 1 1.336 * [backup-simplify]: Simplify (+ 0 1) into 1 1.336 * [backup-simplify]: Simplify (sqrt 1) into 1 1.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.338 * [backup-simplify]: Simplify (+ 0 0) into 0 1.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.339 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.339 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.339 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.339 * [taylor]: Taking taylor expansion of x in x 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify 1 into 1 1.340 * [backup-simplify]: Simplify (* 1 1) into 1 1.340 * [backup-simplify]: Simplify (/ 1 1) into 1 1.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.340 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.340 * [taylor]: Taking taylor expansion of y in x 1.340 * [backup-simplify]: Simplify y into y 1.340 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.341 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.341 * [backup-simplify]: Simplify (+ 1 0) into 1 1.342 * [backup-simplify]: Simplify (sqrt 1) into 1 1.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.343 * [backup-simplify]: Simplify (+ 0 0) into 0 1.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.344 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 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 (pow y 2)) in x 1.345 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.345 * [taylor]: Taking taylor expansion of y in x 1.345 * [backup-simplify]: Simplify y into y 1.346 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.346 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.346 * [backup-simplify]: Simplify (+ 1 0) into 1 1.347 * [backup-simplify]: Simplify (sqrt 1) into 1 1.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.348 * [backup-simplify]: Simplify (+ 0 0) into 0 1.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.349 * [taylor]: Taking taylor expansion of 1 in y 1.349 * [backup-simplify]: Simplify 1 into 1 1.349 * [taylor]: Taking taylor expansion of 0 in y 1.349 * [backup-simplify]: Simplify 0 into 0 1.349 * [backup-simplify]: Simplify 1 into 1 1.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.352 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.353 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.353 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.353 * [taylor]: Taking taylor expansion of 1/2 in y 1.353 * [backup-simplify]: Simplify 1/2 into 1/2 1.353 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.353 * [taylor]: Taking taylor expansion of y in y 1.353 * [backup-simplify]: Simplify 0 into 0 1.353 * [backup-simplify]: Simplify 1 into 1 1.354 * [backup-simplify]: Simplify (* 1 1) into 1 1.354 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify 0 into 0 1.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.358 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.359 * [backup-simplify]: Simplify (+ 0 0) into 0 1.359 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.360 * [taylor]: Taking taylor expansion of 0 in y 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.362 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 1.362 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.362 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.363 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.363 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.363 * [taylor]: Taking taylor expansion of x in y 1.363 * [backup-simplify]: Simplify x into x 1.363 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.363 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.363 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.363 * [taylor]: Taking taylor expansion of y in y 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify 1 into 1 1.364 * [backup-simplify]: Simplify (* 1 1) into 1 1.364 * [backup-simplify]: Simplify (/ 1 1) into 1 1.365 * [backup-simplify]: Simplify (+ 0 1) into 1 1.365 * [backup-simplify]: Simplify (sqrt 1) into 1 1.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.367 * [backup-simplify]: Simplify (+ 0 0) into 0 1.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.368 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.368 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.368 * [taylor]: Taking taylor expansion of x in x 1.368 * [backup-simplify]: Simplify 0 into 0 1.368 * [backup-simplify]: Simplify 1 into 1 1.369 * [backup-simplify]: Simplify (* 1 1) into 1 1.369 * [backup-simplify]: Simplify (/ 1 1) into 1 1.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.370 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.370 * [taylor]: Taking taylor expansion of y in x 1.370 * [backup-simplify]: Simplify y into y 1.370 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.370 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.371 * [backup-simplify]: Simplify (+ 1 0) into 1 1.371 * [backup-simplify]: Simplify (sqrt 1) into 1 1.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.373 * [backup-simplify]: Simplify (+ 0 0) into 0 1.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.374 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.375 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.375 * [taylor]: Taking taylor expansion of x in x 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify 1 into 1 1.375 * [backup-simplify]: Simplify (* 1 1) into 1 1.375 * [backup-simplify]: Simplify (/ 1 1) into 1 1.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.376 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.376 * [taylor]: Taking taylor expansion of y in x 1.376 * [backup-simplify]: Simplify y into y 1.376 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.376 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.377 * [backup-simplify]: Simplify (+ 1 0) into 1 1.377 * [backup-simplify]: Simplify (sqrt 1) into 1 1.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.379 * [backup-simplify]: Simplify (+ 0 0) into 0 1.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.380 * [taylor]: Taking taylor expansion of 1 in y 1.380 * [backup-simplify]: Simplify 1 into 1 1.380 * [taylor]: Taking taylor expansion of 0 in y 1.380 * [backup-simplify]: Simplify 0 into 0 1.380 * [backup-simplify]: Simplify 1 into 1 1.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.383 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.384 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.384 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.385 * [taylor]: Taking taylor expansion of 1/2 in y 1.385 * [backup-simplify]: Simplify 1/2 into 1/2 1.385 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.385 * [taylor]: Taking taylor expansion of y in y 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify 1 into 1 1.385 * [backup-simplify]: Simplify (* 1 1) into 1 1.386 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.387 * [backup-simplify]: Simplify 0 into 0 1.387 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.390 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.391 * [backup-simplify]: Simplify (+ 0 0) into 0 1.392 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.392 * [taylor]: Taking taylor expansion of 0 in y 1.392 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.394 * [backup-simplify]: Simplify 0 into 0 1.394 * [backup-simplify]: Simplify 0 into 0 1.394 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 1.395 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.395 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 1.395 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.395 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.395 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.395 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.395 * [taylor]: Taking taylor expansion of x in y 1.395 * [backup-simplify]: Simplify x into x 1.395 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.395 * [taylor]: Taking taylor expansion of y in y 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify 1 into 1 1.395 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.395 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.396 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.396 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.396 * [backup-simplify]: Simplify (+ 0 0) into 0 1.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.397 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.397 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.397 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.397 * [taylor]: Taking taylor expansion of x in x 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify 1 into 1 1.397 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.397 * [taylor]: Taking taylor expansion of y in x 1.397 * [backup-simplify]: Simplify y into y 1.397 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.397 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.397 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.397 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.398 * [backup-simplify]: Simplify (+ 0 0) into 0 1.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.398 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.398 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.398 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.398 * [taylor]: Taking taylor expansion of x in x 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify 1 into 1 1.398 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.399 * [taylor]: Taking taylor expansion of y in x 1.399 * [backup-simplify]: Simplify y into y 1.399 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.399 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.399 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.399 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.400 * [backup-simplify]: Simplify (+ 0 0) into 0 1.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.400 * [taylor]: Taking taylor expansion of y in y 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify 1 into 1 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [taylor]: Taking taylor expansion of 0 in y 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify 1 into 1 1.401 * [backup-simplify]: Simplify (* 1 1) into 1 1.401 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.402 * [backup-simplify]: Simplify (+ 1 0) into 1 1.403 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 1.403 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.403 * [taylor]: Taking taylor expansion of 1/2 in y 1.403 * [backup-simplify]: Simplify 1/2 into 1/2 1.403 * [taylor]: Taking taylor expansion of y in y 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify 1 into 1 1.403 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.404 * [backup-simplify]: Simplify 0 into 0 1.405 * [backup-simplify]: Simplify 0 into 0 1.405 * [backup-simplify]: Simplify 0 into 0 1.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.406 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.407 * [backup-simplify]: Simplify (+ 0 0) into 0 1.407 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 1.407 * [taylor]: Taking taylor expansion of 0 in y 1.407 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify 0 into 0 1.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.408 * [backup-simplify]: Simplify 0 into 0 1.409 * [backup-simplify]: Simplify 0 into 0 1.409 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 1.409 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.409 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.409 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.409 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.409 * [taylor]: Taking taylor expansion of x in y 1.409 * [backup-simplify]: Simplify x into x 1.409 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.410 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.410 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.410 * [taylor]: Taking taylor expansion of y in y 1.410 * [backup-simplify]: Simplify 0 into 0 1.410 * [backup-simplify]: Simplify 1 into 1 1.410 * [backup-simplify]: Simplify (* 1 1) into 1 1.411 * [backup-simplify]: Simplify (/ 1 1) into 1 1.411 * [backup-simplify]: Simplify (+ 0 1) into 1 1.412 * [backup-simplify]: Simplify (sqrt 1) into 1 1.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.414 * [backup-simplify]: Simplify (+ 0 0) into 0 1.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.415 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.415 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.415 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.415 * [taylor]: Taking taylor expansion of x in x 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify 1 into 1 1.415 * [backup-simplify]: Simplify (* 1 1) into 1 1.416 * [backup-simplify]: Simplify (/ 1 1) into 1 1.416 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.416 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.416 * [taylor]: Taking taylor expansion of y in x 1.416 * [backup-simplify]: Simplify y into y 1.416 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.416 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.417 * [backup-simplify]: Simplify (+ 1 0) into 1 1.417 * [backup-simplify]: Simplify (sqrt 1) into 1 1.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.419 * [backup-simplify]: Simplify (+ 0 0) into 0 1.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.420 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.420 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.421 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.421 * [taylor]: Taking taylor expansion of x in x 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 1 into 1 1.421 * [backup-simplify]: Simplify (* 1 1) into 1 1.422 * [backup-simplify]: Simplify (/ 1 1) into 1 1.422 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.422 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.422 * [taylor]: Taking taylor expansion of y in x 1.422 * [backup-simplify]: Simplify y into y 1.422 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.422 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.423 * [backup-simplify]: Simplify (+ 1 0) into 1 1.423 * [backup-simplify]: Simplify (sqrt 1) into 1 1.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.425 * [backup-simplify]: Simplify (+ 0 0) into 0 1.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.426 * [taylor]: Taking taylor expansion of 1 in y 1.426 * [backup-simplify]: Simplify 1 into 1 1.426 * [taylor]: Taking taylor expansion of 0 in y 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify 1 into 1 1.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.429 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.430 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.430 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.430 * [taylor]: Taking taylor expansion of 1/2 in y 1.430 * [backup-simplify]: Simplify 1/2 into 1/2 1.430 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.430 * [taylor]: Taking taylor expansion of y in y 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify 1 into 1 1.431 * [backup-simplify]: Simplify (* 1 1) into 1 1.431 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.433 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.435 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.435 * [backup-simplify]: Simplify (+ 0 0) into 0 1.436 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.436 * [taylor]: Taking taylor expansion of 0 in y 1.436 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 1.438 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.438 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.438 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.438 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.438 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.438 * [taylor]: Taking taylor expansion of x in y 1.438 * [backup-simplify]: Simplify x into x 1.438 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.438 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.438 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.438 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.438 * [taylor]: Taking taylor expansion of y in y 1.438 * [backup-simplify]: Simplify 0 into 0 1.438 * [backup-simplify]: Simplify 1 into 1 1.438 * [backup-simplify]: Simplify (* 1 1) into 1 1.439 * [backup-simplify]: Simplify (/ 1 1) into 1 1.439 * [backup-simplify]: Simplify (+ 0 1) into 1 1.439 * [backup-simplify]: Simplify (sqrt 1) into 1 1.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.440 * [backup-simplify]: Simplify (+ 0 0) into 0 1.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.441 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.441 * [taylor]: Taking taylor expansion of x in x 1.441 * [backup-simplify]: Simplify 0 into 0 1.441 * [backup-simplify]: Simplify 1 into 1 1.441 * [backup-simplify]: Simplify (* 1 1) into 1 1.442 * [backup-simplify]: Simplify (/ 1 1) into 1 1.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.442 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.442 * [taylor]: Taking taylor expansion of y in x 1.442 * [backup-simplify]: Simplify y into y 1.442 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.442 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.442 * [backup-simplify]: Simplify (+ 1 0) into 1 1.443 * [backup-simplify]: Simplify (sqrt 1) into 1 1.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.444 * [backup-simplify]: Simplify (+ 0 0) into 0 1.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.444 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.444 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.444 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.444 * [taylor]: Taking taylor expansion of x in x 1.445 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify 1 into 1 1.445 * [backup-simplify]: Simplify (* 1 1) into 1 1.445 * [backup-simplify]: Simplify (/ 1 1) into 1 1.445 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.445 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.445 * [taylor]: Taking taylor expansion of y in x 1.445 * [backup-simplify]: Simplify y into y 1.445 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.445 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.446 * [backup-simplify]: Simplify (+ 1 0) into 1 1.446 * [backup-simplify]: Simplify (sqrt 1) into 1 1.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.447 * [backup-simplify]: Simplify (+ 0 0) into 0 1.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.448 * [taylor]: Taking taylor expansion of 1 in y 1.448 * [backup-simplify]: Simplify 1 into 1 1.448 * [taylor]: Taking taylor expansion of 0 in y 1.448 * [backup-simplify]: Simplify 0 into 0 1.448 * [backup-simplify]: Simplify 1 into 1 1.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.449 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.450 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.451 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.451 * [taylor]: Taking taylor expansion of 1/2 in y 1.451 * [backup-simplify]: Simplify 1/2 into 1/2 1.451 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.451 * [taylor]: Taking taylor expansion of y in y 1.451 * [backup-simplify]: Simplify 0 into 0 1.451 * [backup-simplify]: Simplify 1 into 1 1.451 * [backup-simplify]: Simplify (* 1 1) into 1 1.451 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.454 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.455 * [backup-simplify]: Simplify (+ 0 0) into 0 1.455 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.455 * [taylor]: Taking taylor expansion of 0 in y 1.455 * [backup-simplify]: Simplify 0 into 0 1.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.456 * [backup-simplify]: Simplify 0 into 0 1.456 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 1.457 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.457 * [backup-simplify]: Simplify (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) into (+ (pow x 2) (pow y 2)) 1.457 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 1.457 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.457 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.457 * [taylor]: Taking taylor expansion of x in y 1.457 * [backup-simplify]: Simplify x into x 1.457 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.457 * [taylor]: Taking taylor expansion of y in y 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify 1 into 1 1.457 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.457 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.457 * [taylor]: Taking taylor expansion of x in x 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify 1 into 1 1.457 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.457 * [taylor]: Taking taylor expansion of y in x 1.457 * [backup-simplify]: Simplify y into y 1.457 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.457 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.457 * [taylor]: Taking taylor expansion of x in x 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify 1 into 1 1.457 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.457 * [taylor]: Taking taylor expansion of y in x 1.457 * [backup-simplify]: Simplify y into y 1.457 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.458 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.458 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.458 * [taylor]: Taking taylor expansion of y in y 1.458 * [backup-simplify]: Simplify 0 into 0 1.458 * [backup-simplify]: Simplify 1 into 1 1.458 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.458 * [backup-simplify]: Simplify (+ 0 0) into 0 1.458 * [taylor]: Taking taylor expansion of 0 in y 1.458 * [backup-simplify]: Simplify 0 into 0 1.458 * [backup-simplify]: Simplify 0 into 0 1.459 * [backup-simplify]: Simplify (* 1 1) into 1 1.459 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.459 * [backup-simplify]: Simplify (+ 1 0) into 1 1.459 * [taylor]: Taking taylor expansion of 1 in y 1.459 * [backup-simplify]: Simplify 1 into 1 1.459 * [backup-simplify]: Simplify 1 into 1 1.459 * [backup-simplify]: Simplify 0 into 0 1.460 * [backup-simplify]: Simplify (* 1 1) into 1 1.460 * [backup-simplify]: Simplify 1 into 1 1.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.461 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.462 * [backup-simplify]: Simplify (+ 0 0) into 0 1.462 * [taylor]: Taking taylor expansion of 0 in y 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify 0 into 0 1.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.463 * [backup-simplify]: Simplify 0 into 0 1.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.473 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.474 * [backup-simplify]: Simplify (+ 0 0) into 0 1.474 * [taylor]: Taking taylor expansion of 0 in y 1.474 * [backup-simplify]: Simplify 0 into 0 1.474 * [backup-simplify]: Simplify 0 into 0 1.474 * [backup-simplify]: Simplify 0 into 0 1.475 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 1.476 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1.476 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.476 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.476 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.476 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.476 * [taylor]: Taking taylor expansion of x in y 1.476 * [backup-simplify]: Simplify x into x 1.476 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.476 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.476 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.476 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.476 * [taylor]: Taking taylor expansion of y in y 1.476 * [backup-simplify]: Simplify 0 into 0 1.476 * [backup-simplify]: Simplify 1 into 1 1.477 * [backup-simplify]: Simplify (* 1 1) into 1 1.478 * [backup-simplify]: Simplify (/ 1 1) into 1 1.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.478 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.478 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.478 * [taylor]: Taking taylor expansion of x in x 1.478 * [backup-simplify]: Simplify 0 into 0 1.478 * [backup-simplify]: Simplify 1 into 1 1.478 * [backup-simplify]: Simplify (* 1 1) into 1 1.479 * [backup-simplify]: Simplify (/ 1 1) into 1 1.479 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.479 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.479 * [taylor]: Taking taylor expansion of y in x 1.479 * [backup-simplify]: Simplify y into y 1.479 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.479 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.479 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.479 * [taylor]: Taking taylor expansion of x in x 1.479 * [backup-simplify]: Simplify 0 into 0 1.479 * [backup-simplify]: Simplify 1 into 1 1.480 * [backup-simplify]: Simplify (* 1 1) into 1 1.480 * [backup-simplify]: Simplify (/ 1 1) into 1 1.481 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.481 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.481 * [taylor]: Taking taylor expansion of y in x 1.481 * [backup-simplify]: Simplify y into y 1.481 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.481 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.482 * [backup-simplify]: Simplify (+ 1 0) into 1 1.482 * [taylor]: Taking taylor expansion of 1 in y 1.482 * [backup-simplify]: Simplify 1 into 1 1.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.484 * [backup-simplify]: Simplify (+ 0 0) into 0 1.484 * [taylor]: Taking taylor expansion of 0 in y 1.485 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.487 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.487 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.487 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.487 * [taylor]: Taking taylor expansion of y in y 1.487 * [backup-simplify]: Simplify 0 into 0 1.487 * [backup-simplify]: Simplify 1 into 1 1.488 * [backup-simplify]: Simplify (* 1 1) into 1 1.488 * [backup-simplify]: Simplify (/ 1 1) into 1 1.488 * [backup-simplify]: Simplify 1 into 1 1.489 * [backup-simplify]: Simplify 1 into 1 1.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.490 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.491 * [backup-simplify]: Simplify (+ 0 0) into 0 1.491 * [taylor]: Taking taylor expansion of 0 in y 1.491 * [backup-simplify]: Simplify 0 into 0 1.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.492 * [backup-simplify]: Simplify 0 into 0 1.492 * [backup-simplify]: Simplify 0 into 0 1.492 * [backup-simplify]: Simplify 0 into 0 1.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.494 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.495 * [backup-simplify]: Simplify (+ 0 0) into 0 1.495 * [taylor]: Taking taylor expansion of 0 in y 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 1.497 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1.497 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.497 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.497 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.497 * [taylor]: Taking taylor expansion of x in y 1.497 * [backup-simplify]: Simplify x into x 1.497 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.497 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.497 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.497 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.497 * [taylor]: Taking taylor expansion of y in y 1.497 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify 1 into 1 1.498 * [backup-simplify]: Simplify (* 1 1) into 1 1.498 * [backup-simplify]: Simplify (/ 1 1) into 1 1.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.498 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.498 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.498 * [taylor]: Taking taylor expansion of x in x 1.498 * [backup-simplify]: Simplify 0 into 0 1.498 * [backup-simplify]: Simplify 1 into 1 1.499 * [backup-simplify]: Simplify (* 1 1) into 1 1.499 * [backup-simplify]: Simplify (/ 1 1) into 1 1.499 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.499 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.499 * [taylor]: Taking taylor expansion of y in x 1.499 * [backup-simplify]: Simplify y into y 1.499 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.499 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.499 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.499 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.499 * [taylor]: Taking taylor expansion of x in x 1.499 * [backup-simplify]: Simplify 0 into 0 1.499 * [backup-simplify]: Simplify 1 into 1 1.500 * [backup-simplify]: Simplify (* 1 1) into 1 1.500 * [backup-simplify]: Simplify (/ 1 1) into 1 1.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.500 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.500 * [taylor]: Taking taylor expansion of y in x 1.500 * [backup-simplify]: Simplify y into y 1.500 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.500 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.501 * [backup-simplify]: Simplify (+ 1 0) into 1 1.501 * [taylor]: Taking taylor expansion of 1 in y 1.501 * [backup-simplify]: Simplify 1 into 1 1.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.502 * [backup-simplify]: Simplify (+ 0 0) into 0 1.502 * [taylor]: Taking taylor expansion of 0 in y 1.502 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.503 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.503 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.504 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.504 * [taylor]: Taking taylor expansion of y in y 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify 1 into 1 1.504 * [backup-simplify]: Simplify (* 1 1) into 1 1.504 * [backup-simplify]: Simplify (/ 1 1) into 1 1.504 * [backup-simplify]: Simplify 1 into 1 1.504 * [backup-simplify]: Simplify 1 into 1 1.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.506 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.506 * [backup-simplify]: Simplify (+ 0 0) into 0 1.506 * [taylor]: Taking taylor expansion of 0 in y 1.506 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.507 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.509 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.510 * [backup-simplify]: Simplify (+ 0 0) into 0 1.510 * [taylor]: Taking taylor expansion of 0 in y 1.510 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.512 * [backup-simplify]: Simplify 0 into 0 1.512 * [backup-simplify]: Simplify 0 into 0 1.512 * [backup-simplify]: Simplify 0 into 0 1.512 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 1.512 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.512 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 1.512 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 1.512 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.512 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.512 * [taylor]: Taking taylor expansion of x in y 1.512 * [backup-simplify]: Simplify x into x 1.512 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.512 * [taylor]: Taking taylor expansion of y in y 1.512 * [backup-simplify]: Simplify 0 into 0 1.512 * [backup-simplify]: Simplify 1 into 1 1.512 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.513 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.513 * [taylor]: Taking taylor expansion of x in x 1.513 * [backup-simplify]: Simplify 0 into 0 1.513 * [backup-simplify]: Simplify 1 into 1 1.513 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.513 * [taylor]: Taking taylor expansion of y in x 1.513 * [backup-simplify]: Simplify y into y 1.513 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.513 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.513 * [taylor]: Taking taylor expansion of x in x 1.513 * [backup-simplify]: Simplify 0 into 0 1.513 * [backup-simplify]: Simplify 1 into 1 1.513 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.513 * [taylor]: Taking taylor expansion of y in x 1.513 * [backup-simplify]: Simplify y into y 1.513 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.513 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.513 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.513 * [taylor]: Taking taylor expansion of y in y 1.513 * [backup-simplify]: Simplify 0 into 0 1.513 * [backup-simplify]: Simplify 1 into 1 1.513 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.514 * [backup-simplify]: Simplify (+ 0 0) into 0 1.514 * [taylor]: Taking taylor expansion of 0 in y 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify (* 1 1) into 1 1.514 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.515 * [backup-simplify]: Simplify (+ 1 0) into 1 1.515 * [taylor]: Taking taylor expansion of 1 in y 1.515 * [backup-simplify]: Simplify 1 into 1 1.515 * [backup-simplify]: Simplify 1 into 1 1.515 * [backup-simplify]: Simplify 0 into 0 1.515 * [backup-simplify]: Simplify (* 1 1) into 1 1.515 * [backup-simplify]: Simplify 1 into 1 1.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.516 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.517 * [backup-simplify]: Simplify (+ 0 0) into 0 1.517 * [taylor]: Taking taylor expansion of 0 in y 1.517 * [backup-simplify]: Simplify 0 into 0 1.517 * [backup-simplify]: Simplify 0 into 0 1.517 * [backup-simplify]: Simplify 0 into 0 1.517 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.518 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.519 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.519 * [backup-simplify]: Simplify (+ 0 0) into 0 1.519 * [taylor]: Taking taylor expansion of 0 in y 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify 0 into 0 1.520 * [backup-simplify]: Simplify 0 into 0 1.520 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 1.520 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1.520 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.520 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.520 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.520 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.520 * [taylor]: Taking taylor expansion of x in y 1.520 * [backup-simplify]: Simplify x into x 1.520 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.520 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.520 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.520 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.520 * [taylor]: Taking taylor expansion of y in y 1.520 * [backup-simplify]: Simplify 0 into 0 1.520 * [backup-simplify]: Simplify 1 into 1 1.521 * [backup-simplify]: Simplify (* 1 1) into 1 1.521 * [backup-simplify]: Simplify (/ 1 1) into 1 1.521 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.521 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.521 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.522 * [taylor]: Taking taylor expansion of x in x 1.522 * [backup-simplify]: Simplify 0 into 0 1.522 * [backup-simplify]: Simplify 1 into 1 1.522 * [backup-simplify]: Simplify (* 1 1) into 1 1.522 * [backup-simplify]: Simplify (/ 1 1) into 1 1.522 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.522 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.522 * [taylor]: Taking taylor expansion of y in x 1.523 * [backup-simplify]: Simplify y into y 1.523 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.523 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.523 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.523 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.523 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.523 * [taylor]: Taking taylor expansion of x in x 1.523 * [backup-simplify]: Simplify 0 into 0 1.523 * [backup-simplify]: Simplify 1 into 1 1.523 * [backup-simplify]: Simplify (* 1 1) into 1 1.524 * [backup-simplify]: Simplify (/ 1 1) into 1 1.524 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.524 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.524 * [taylor]: Taking taylor expansion of y in x 1.524 * [backup-simplify]: Simplify y into y 1.524 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.524 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.525 * [backup-simplify]: Simplify (+ 1 0) into 1 1.525 * [taylor]: Taking taylor expansion of 1 in y 1.525 * [backup-simplify]: Simplify 1 into 1 1.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.527 * [backup-simplify]: Simplify (+ 0 0) into 0 1.527 * [taylor]: Taking taylor expansion of 0 in y 1.527 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.530 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.530 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.530 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.530 * [taylor]: Taking taylor expansion of y in y 1.530 * [backup-simplify]: Simplify 0 into 0 1.530 * [backup-simplify]: Simplify 1 into 1 1.530 * [backup-simplify]: Simplify (* 1 1) into 1 1.531 * [backup-simplify]: Simplify (/ 1 1) into 1 1.531 * [backup-simplify]: Simplify 1 into 1 1.531 * [backup-simplify]: Simplify 1 into 1 1.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.533 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.534 * [backup-simplify]: Simplify (+ 0 0) into 0 1.534 * [taylor]: Taking taylor expansion of 0 in y 1.534 * [backup-simplify]: Simplify 0 into 0 1.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.536 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.538 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.539 * [backup-simplify]: Simplify (+ 0 0) into 0 1.539 * [taylor]: Taking taylor expansion of 0 in y 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 0 into 0 1.541 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 1.541 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1.541 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.541 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.541 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.541 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.541 * [taylor]: Taking taylor expansion of x in y 1.541 * [backup-simplify]: Simplify x into x 1.541 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.541 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.541 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.541 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.541 * [taylor]: Taking taylor expansion of y in y 1.541 * [backup-simplify]: Simplify 0 into 0 1.541 * [backup-simplify]: Simplify 1 into 1 1.542 * [backup-simplify]: Simplify (* 1 1) into 1 1.542 * [backup-simplify]: Simplify (/ 1 1) into 1 1.542 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.542 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.542 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.542 * [taylor]: Taking taylor expansion of x in x 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify 1 into 1 1.543 * [backup-simplify]: Simplify (* 1 1) into 1 1.543 * [backup-simplify]: Simplify (/ 1 1) into 1 1.543 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.543 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.543 * [taylor]: Taking taylor expansion of y in x 1.543 * [backup-simplify]: Simplify y into y 1.543 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.544 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.544 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.544 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.544 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.544 * [taylor]: Taking taylor expansion of x in x 1.544 * [backup-simplify]: Simplify 0 into 0 1.544 * [backup-simplify]: Simplify 1 into 1 1.544 * [backup-simplify]: Simplify (* 1 1) into 1 1.544 * [backup-simplify]: Simplify (/ 1 1) into 1 1.544 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.545 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.545 * [taylor]: Taking taylor expansion of y in x 1.545 * [backup-simplify]: Simplify y into y 1.545 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.545 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.545 * [backup-simplify]: Simplify (+ 1 0) into 1 1.545 * [taylor]: Taking taylor expansion of 1 in y 1.545 * [backup-simplify]: Simplify 1 into 1 1.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.547 * [backup-simplify]: Simplify (+ 0 0) into 0 1.547 * [taylor]: Taking taylor expansion of 0 in y 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.548 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.549 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.549 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.549 * [taylor]: Taking taylor expansion of y in y 1.549 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify 1 into 1 1.549 * [backup-simplify]: Simplify (* 1 1) into 1 1.549 * [backup-simplify]: Simplify (/ 1 1) into 1 1.549 * [backup-simplify]: Simplify 1 into 1 1.549 * [backup-simplify]: Simplify 1 into 1 1.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.551 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.551 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.552 * [backup-simplify]: Simplify (+ 0 0) into 0 1.552 * [taylor]: Taking taylor expansion of 0 in y 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.553 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.555 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.555 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.556 * [backup-simplify]: Simplify (+ 0 0) into 0 1.556 * [taylor]: Taking taylor expansion of 0 in y 1.556 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify 0 into 0 1.558 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 1.558 * * * [progress]: simplifying candidates 1.559 * [simplify]: Simplifying: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ 1 1) (+ (log (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y))))) (log (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (exp (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))) (* (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* x x) (* y y)))) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (- (* x x) (* y y))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y)))) (* (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* 1 1) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ (* x x) (* y y))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt 1)) (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) 1) (* (cbrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) y x (* -1 x) y x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 2.185 * * * [progress]: adding candidates to table 2.542 * * [progress]: iteration 3 / 4 2.542 * * * [progress]: picking best candidate 2.547 * * * * [pick]: Picked # 2.547 * * * [progress]: localizing error 2.570 * * * [progress]: generating rewritten candidates 2.570 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 2.581 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 2.590 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 2.596 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.728 * * * [progress]: generating series expansions 2.728 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 2.728 * [backup-simplify]: Simplify (cbrt (+ (* x x) (* y y))) into (pow (+ (pow x 2) (pow y 2)) 1/3) 2.728 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 2.728 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 2.728 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 2.728 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 2.728 * [taylor]: Taking taylor expansion of 1/3 in y 2.729 * [backup-simplify]: Simplify 1/3 into 1/3 2.729 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 2.729 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.729 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.729 * [taylor]: Taking taylor expansion of x in y 2.729 * [backup-simplify]: Simplify x into x 2.729 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.729 * [taylor]: Taking taylor expansion of y in y 2.729 * [backup-simplify]: Simplify 0 into 0 2.729 * [backup-simplify]: Simplify 1 into 1 2.729 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.729 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.729 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 2.729 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 2.730 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 2.730 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 2.730 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 2.730 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 2.730 * [taylor]: Taking taylor expansion of 1/3 in x 2.730 * [backup-simplify]: Simplify 1/3 into 1/3 2.730 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 2.730 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.730 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.730 * [taylor]: Taking taylor expansion of x in x 2.730 * [backup-simplify]: Simplify 0 into 0 2.730 * [backup-simplify]: Simplify 1 into 1 2.730 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.730 * [taylor]: Taking taylor expansion of y in x 2.730 * [backup-simplify]: Simplify y into y 2.730 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.730 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.730 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 2.731 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 2.731 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 2.731 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 2.731 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 2.731 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 2.731 * [taylor]: Taking taylor expansion of 1/3 in x 2.731 * [backup-simplify]: Simplify 1/3 into 1/3 2.731 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 2.731 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.731 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.731 * [taylor]: Taking taylor expansion of x in x 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify 1 into 1 2.731 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.731 * [taylor]: Taking taylor expansion of y in x 2.731 * [backup-simplify]: Simplify y into y 2.731 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.732 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.732 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 2.732 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 2.732 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 2.732 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 2.732 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 2.732 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 2.732 * [taylor]: Taking taylor expansion of 1/3 in y 2.732 * [backup-simplify]: Simplify 1/3 into 1/3 2.732 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 2.732 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.732 * [taylor]: Taking taylor expansion of y in y 2.732 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify 1 into 1 2.733 * [backup-simplify]: Simplify (* 1 1) into 1 2.734 * [backup-simplify]: Simplify (log 1) into 0 2.734 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 2.735 * [backup-simplify]: Simplify (* 1/3 (* 2 (log y))) into (* 2/3 (log y)) 2.735 * [backup-simplify]: Simplify (exp (* 2/3 (log y))) into (pow y 2/3) 2.735 * [backup-simplify]: Simplify (pow y 2/3) into (pow y 2/3) 2.735 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.736 * [backup-simplify]: Simplify (+ 0 0) into 0 2.737 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0 2.738 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow y 2)))) into 0 2.739 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.739 * [taylor]: Taking taylor expansion of 0 in y 2.739 * [backup-simplify]: Simplify 0 into 0 2.739 * [backup-simplify]: Simplify 0 into 0 2.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.741 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.742 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 2.743 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log y)))) into 0 2.744 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 2.744 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify (* 1 1) into 1 2.745 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.746 * [backup-simplify]: Simplify (+ 1 0) into 1 2.748 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow y 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow y 2) 1)))) 2) into (/ 1 (pow y 2)) 2.749 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/3 (/ 1 (pow y 2))) 2.751 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 2.751 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 2.751 * [taylor]: Taking taylor expansion of 1/3 in y 2.751 * [backup-simplify]: Simplify 1/3 into 1/3 2.751 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 2.751 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 2.751 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 2.751 * [taylor]: Taking taylor expansion of 1/3 in y 2.751 * [backup-simplify]: Simplify 1/3 into 1/3 2.751 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 2.751 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.751 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.751 * [taylor]: Taking taylor expansion of y in y 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify 1 into 1 2.752 * [backup-simplify]: Simplify (* 1 1) into 1 2.752 * [backup-simplify]: Simplify (* 1 1) into 1 2.753 * [backup-simplify]: Simplify (/ 1 1) into 1 2.753 * [backup-simplify]: Simplify (log 1) into 0 2.754 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 2.754 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y)) 2.754 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3) 2.755 * [backup-simplify]: Simplify (* 1/3 (pow y -4/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 2.755 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 2.755 * [backup-simplify]: Simplify 0 into 0 2.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.759 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.760 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 2.761 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0 2.763 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.763 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.765 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.765 * [backup-simplify]: Simplify (+ 0 0) into 0 2.768 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow y 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow y 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow y 2) 1)))) 6) into 0 2.769 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0 2.771 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.771 * [taylor]: Taking taylor expansion of 0 in y 2.771 * [backup-simplify]: Simplify 0 into 0 2.771 * [backup-simplify]: Simplify 0 into 0 2.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.773 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.774 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 2.774 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log y))))) into 0 2.775 * [backup-simplify]: Simplify (* (exp (* -4/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 2.775 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow y -4/3))) into 0 2.775 * [backup-simplify]: Simplify 0 into 0 2.775 * [backup-simplify]: Simplify 0 into 0 2.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.779 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.780 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 2.781 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0 2.782 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.782 * [backup-simplify]: Simplify 0 into 0 2.782 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) (pow (* 1 x) 2)) (pow y 2/3)) into (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) 2.782 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) 2.783 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 2.783 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 2.783 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 2.783 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 2.783 * [taylor]: Taking taylor expansion of 1/3 in y 2.783 * [backup-simplify]: Simplify 1/3 into 1/3 2.783 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.783 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.783 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.783 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.783 * [taylor]: Taking taylor expansion of x in y 2.783 * [backup-simplify]: Simplify x into x 2.783 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.783 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.783 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.783 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.783 * [taylor]: Taking taylor expansion of y in y 2.783 * [backup-simplify]: Simplify 0 into 0 2.783 * [backup-simplify]: Simplify 1 into 1 2.783 * [backup-simplify]: Simplify (* 1 1) into 1 2.784 * [backup-simplify]: Simplify (/ 1 1) into 1 2.784 * [backup-simplify]: Simplify (+ 0 1) into 1 2.784 * [backup-simplify]: Simplify (log 1) into 0 2.785 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.785 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 2.785 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 2.785 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 2.785 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.785 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.785 * [taylor]: Taking taylor expansion of 1/3 in x 2.785 * [backup-simplify]: Simplify 1/3 into 1/3 2.785 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.785 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.785 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.785 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.785 * [taylor]: Taking taylor expansion of x in x 2.785 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify 1 into 1 2.785 * [backup-simplify]: Simplify (* 1 1) into 1 2.786 * [backup-simplify]: Simplify (/ 1 1) into 1 2.786 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.786 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.786 * [taylor]: Taking taylor expansion of y in x 2.786 * [backup-simplify]: Simplify y into y 2.786 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.786 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.786 * [backup-simplify]: Simplify (+ 1 0) into 1 2.786 * [backup-simplify]: Simplify (log 1) into 0 2.787 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.787 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 2.787 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 2.787 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 2.787 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.787 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.787 * [taylor]: Taking taylor expansion of 1/3 in x 2.787 * [backup-simplify]: Simplify 1/3 into 1/3 2.787 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.787 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.787 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.787 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.787 * [taylor]: Taking taylor expansion of x in x 2.787 * [backup-simplify]: Simplify 0 into 0 2.787 * [backup-simplify]: Simplify 1 into 1 2.787 * [backup-simplify]: Simplify (* 1 1) into 1 2.788 * [backup-simplify]: Simplify (/ 1 1) into 1 2.788 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.788 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.788 * [taylor]: Taking taylor expansion of y in x 2.788 * [backup-simplify]: Simplify y into y 2.788 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.788 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.788 * [backup-simplify]: Simplify (+ 1 0) into 1 2.789 * [backup-simplify]: Simplify (log 1) into 0 2.789 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.789 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 2.789 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 2.789 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 2.789 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 2.789 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 2.789 * [taylor]: Taking taylor expansion of -2/3 in y 2.789 * [backup-simplify]: Simplify -2/3 into -2/3 2.789 * [taylor]: Taking taylor expansion of (log x) in y 2.789 * [taylor]: Taking taylor expansion of x in y 2.789 * [backup-simplify]: Simplify x into x 2.789 * [backup-simplify]: Simplify (log x) into (log x) 2.790 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 2.790 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 2.790 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 2.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.791 * [backup-simplify]: Simplify (+ 0 0) into 0 2.792 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.792 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.793 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 2.794 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.794 * [taylor]: Taking taylor expansion of 0 in y 2.794 * [backup-simplify]: Simplify 0 into 0 2.794 * [backup-simplify]: Simplify 0 into 0 2.795 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 2.796 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 2.797 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.797 * [backup-simplify]: Simplify 0 into 0 2.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.800 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.802 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 2.803 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.804 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 2.805 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) 2.805 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 2.805 * [taylor]: Taking taylor expansion of 1/3 in y 2.805 * [backup-simplify]: Simplify 1/3 into 1/3 2.805 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 2.805 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 2.805 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 2.805 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 2.805 * [taylor]: Taking taylor expansion of 1/3 in y 2.805 * [backup-simplify]: Simplify 1/3 into 1/3 2.806 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 2.806 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.806 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.806 * [taylor]: Taking taylor expansion of x in y 2.806 * [backup-simplify]: Simplify x into x 2.806 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.806 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.806 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 2.806 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 2.807 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 2.807 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.807 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.807 * [taylor]: Taking taylor expansion of y in y 2.807 * [backup-simplify]: Simplify 0 into 0 2.807 * [backup-simplify]: Simplify 1 into 1 2.807 * [backup-simplify]: Simplify (* 1 1) into 1 2.808 * [backup-simplify]: Simplify (/ 1 1) into 1 2.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.810 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.812 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 2.812 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 2.813 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.813 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 2.815 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0 2.816 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 2.817 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.818 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 2.819 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 2.819 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 2.820 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 2.820 * [backup-simplify]: Simplify 0 into 0 2.820 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 2.822 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 2.823 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.823 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.825 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.825 * [backup-simplify]: Simplify (+ 0 0) into 0 2.828 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.828 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.829 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 2.831 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.831 * [taylor]: Taking taylor expansion of 0 in y 2.831 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify (pow (/ 1 x) -2/3) into (pow (/ 1 x) -2/3) 2.831 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) 2.831 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 2.831 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 2.831 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 2.831 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 2.831 * [taylor]: Taking taylor expansion of 1/3 in y 2.831 * [backup-simplify]: Simplify 1/3 into 1/3 2.831 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.831 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.831 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.831 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.831 * [taylor]: Taking taylor expansion of x in y 2.831 * [backup-simplify]: Simplify x into x 2.831 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.832 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.832 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.832 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.832 * [taylor]: Taking taylor expansion of y in y 2.832 * [backup-simplify]: Simplify 0 into 0 2.832 * [backup-simplify]: Simplify 1 into 1 2.832 * [backup-simplify]: Simplify (* 1 1) into 1 2.832 * [backup-simplify]: Simplify (/ 1 1) into 1 2.833 * [backup-simplify]: Simplify (+ 0 1) into 1 2.833 * [backup-simplify]: Simplify (log 1) into 0 2.833 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.833 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 2.833 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 2.833 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 2.833 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.833 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.834 * [taylor]: Taking taylor expansion of 1/3 in x 2.834 * [backup-simplify]: Simplify 1/3 into 1/3 2.834 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.834 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.834 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.834 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.834 * [taylor]: Taking taylor expansion of x in x 2.834 * [backup-simplify]: Simplify 0 into 0 2.834 * [backup-simplify]: Simplify 1 into 1 2.834 * [backup-simplify]: Simplify (* 1 1) into 1 2.834 * [backup-simplify]: Simplify (/ 1 1) into 1 2.834 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.834 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.834 * [taylor]: Taking taylor expansion of y in x 2.834 * [backup-simplify]: Simplify y into y 2.834 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.835 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.835 * [backup-simplify]: Simplify (+ 1 0) into 1 2.835 * [backup-simplify]: Simplify (log 1) into 0 2.835 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.836 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 2.836 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 2.836 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 2.836 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.836 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.836 * [taylor]: Taking taylor expansion of 1/3 in x 2.836 * [backup-simplify]: Simplify 1/3 into 1/3 2.836 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.836 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.836 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.836 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.836 * [taylor]: Taking taylor expansion of x in x 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify 1 into 1 2.836 * [backup-simplify]: Simplify (* 1 1) into 1 2.836 * [backup-simplify]: Simplify (/ 1 1) into 1 2.837 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.837 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.837 * [taylor]: Taking taylor expansion of y in x 2.837 * [backup-simplify]: Simplify y into y 2.837 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.837 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.837 * [backup-simplify]: Simplify (+ 1 0) into 1 2.837 * [backup-simplify]: Simplify (log 1) into 0 2.838 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.838 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 2.838 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 2.838 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 2.838 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 2.838 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 2.838 * [taylor]: Taking taylor expansion of -2/3 in y 2.838 * [backup-simplify]: Simplify -2/3 into -2/3 2.838 * [taylor]: Taking taylor expansion of (log x) in y 2.838 * [taylor]: Taking taylor expansion of x in y 2.838 * [backup-simplify]: Simplify x into x 2.838 * [backup-simplify]: Simplify (log x) into (log x) 2.838 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 2.838 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 2.838 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 2.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.840 * [backup-simplify]: Simplify (+ 0 0) into 0 2.841 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.841 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.842 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 2.843 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.843 * [taylor]: Taking taylor expansion of 0 in y 2.843 * [backup-simplify]: Simplify 0 into 0 2.843 * [backup-simplify]: Simplify 0 into 0 2.844 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 2.845 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 2.846 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.846 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.848 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.851 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 2.852 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.853 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 2.854 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) 2.854 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 2.854 * [taylor]: Taking taylor expansion of 1/3 in y 2.855 * [backup-simplify]: Simplify 1/3 into 1/3 2.855 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 2.855 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 2.855 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 2.855 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 2.855 * [taylor]: Taking taylor expansion of 1/3 in y 2.855 * [backup-simplify]: Simplify 1/3 into 1/3 2.855 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 2.855 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.855 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.855 * [taylor]: Taking taylor expansion of x in y 2.855 * [backup-simplify]: Simplify x into x 2.855 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.855 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.855 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 2.856 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 2.856 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 2.856 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.856 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.856 * [taylor]: Taking taylor expansion of y in y 2.856 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify 1 into 1 2.857 * [backup-simplify]: Simplify (* 1 1) into 1 2.857 * [backup-simplify]: Simplify (/ 1 1) into 1 2.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.862 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.862 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.864 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 2.865 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 2.866 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.867 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 2.870 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0 2.872 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 2.874 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.887 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 2.888 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 2.889 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 2.890 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 2.890 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 2.893 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 2.895 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.895 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.898 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.899 * [backup-simplify]: Simplify (+ 0 0) into 0 2.903 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.904 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.905 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 2.908 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.908 * [taylor]: Taking taylor expansion of 0 in y 2.908 * [backup-simplify]: Simplify 0 into 0 2.908 * [backup-simplify]: Simplify 0 into 0 2.908 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -2/3) into (pow (/ -1 x) -2/3) 2.908 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 2.909 * [backup-simplify]: Simplify (cbrt (+ (* x x) (* y y))) into (pow (+ (pow x 2) (pow y 2)) 1/3) 2.909 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 2.909 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 2.909 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 2.909 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 2.909 * [taylor]: Taking taylor expansion of 1/3 in y 2.909 * [backup-simplify]: Simplify 1/3 into 1/3 2.909 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 2.909 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.909 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.909 * [taylor]: Taking taylor expansion of x in y 2.909 * [backup-simplify]: Simplify x into x 2.909 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.909 * [taylor]: Taking taylor expansion of y in y 2.909 * [backup-simplify]: Simplify 0 into 0 2.909 * [backup-simplify]: Simplify 1 into 1 2.909 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.909 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.910 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 2.910 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 2.910 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 2.910 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 2.910 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 2.910 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 2.910 * [taylor]: Taking taylor expansion of 1/3 in x 2.910 * [backup-simplify]: Simplify 1/3 into 1/3 2.910 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 2.910 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.910 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.910 * [taylor]: Taking taylor expansion of x in x 2.910 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify 1 into 1 2.910 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.910 * [taylor]: Taking taylor expansion of y in x 2.910 * [backup-simplify]: Simplify y into y 2.911 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.911 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.911 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 2.911 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 2.911 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 2.911 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 2.911 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 2.911 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 2.911 * [taylor]: Taking taylor expansion of 1/3 in x 2.911 * [backup-simplify]: Simplify 1/3 into 1/3 2.911 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 2.911 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.911 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.911 * [taylor]: Taking taylor expansion of x in x 2.911 * [backup-simplify]: Simplify 0 into 0 2.912 * [backup-simplify]: Simplify 1 into 1 2.912 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.912 * [taylor]: Taking taylor expansion of y in x 2.912 * [backup-simplify]: Simplify y into y 2.912 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.912 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.912 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 2.912 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 2.912 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 2.912 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 2.912 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 2.912 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 2.913 * [taylor]: Taking taylor expansion of 1/3 in y 2.913 * [backup-simplify]: Simplify 1/3 into 1/3 2.913 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 2.913 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.913 * [taylor]: Taking taylor expansion of y in y 2.913 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify 1 into 1 2.913 * [backup-simplify]: Simplify (* 1 1) into 1 2.914 * [backup-simplify]: Simplify (log 1) into 0 2.914 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 2.915 * [backup-simplify]: Simplify (* 1/3 (* 2 (log y))) into (* 2/3 (log y)) 2.915 * [backup-simplify]: Simplify (exp (* 2/3 (log y))) into (pow y 2/3) 2.915 * [backup-simplify]: Simplify (pow y 2/3) into (pow y 2/3) 2.915 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.916 * [backup-simplify]: Simplify (+ 0 0) into 0 2.917 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0 2.918 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow y 2)))) into 0 2.919 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.919 * [taylor]: Taking taylor expansion of 0 in y 2.919 * [backup-simplify]: Simplify 0 into 0 2.919 * [backup-simplify]: Simplify 0 into 0 2.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.921 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.922 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 2.923 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log y)))) into 0 2.924 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 2.924 * [backup-simplify]: Simplify 0 into 0 2.925 * [backup-simplify]: Simplify (* 1 1) into 1 2.926 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.926 * [backup-simplify]: Simplify (+ 1 0) into 1 2.928 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow y 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow y 2) 1)))) 2) into (/ 1 (pow y 2)) 2.929 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/3 (/ 1 (pow y 2))) 2.931 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 2.931 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 2.931 * [taylor]: Taking taylor expansion of 1/3 in y 2.931 * [backup-simplify]: Simplify 1/3 into 1/3 2.931 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 2.931 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 2.932 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 2.932 * [taylor]: Taking taylor expansion of 1/3 in y 2.932 * [backup-simplify]: Simplify 1/3 into 1/3 2.932 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 2.932 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.932 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.932 * [taylor]: Taking taylor expansion of y in y 2.932 * [backup-simplify]: Simplify 0 into 0 2.932 * [backup-simplify]: Simplify 1 into 1 2.932 * [backup-simplify]: Simplify (* 1 1) into 1 2.933 * [backup-simplify]: Simplify (* 1 1) into 1 2.933 * [backup-simplify]: Simplify (/ 1 1) into 1 2.934 * [backup-simplify]: Simplify (log 1) into 0 2.935 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 2.935 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y)) 2.935 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3) 2.935 * [backup-simplify]: Simplify (* 1/3 (pow y -4/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 2.935 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 2.936 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.940 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.941 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 2.942 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0 2.943 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.943 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.945 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.946 * [backup-simplify]: Simplify (+ 0 0) into 0 2.950 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow y 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow y 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow y 2) 1)))) 6) into 0 2.951 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0 2.954 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.955 * [taylor]: Taking taylor expansion of 0 in y 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.959 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.959 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 2.960 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log y))))) into 0 2.961 * [backup-simplify]: Simplify (* (exp (* -4/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 2.962 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow y -4/3))) into 0 2.962 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.969 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.970 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 2.972 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0 2.974 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.974 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) (pow (* 1 x) 2)) (pow y 2/3)) into (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) 2.975 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) 2.975 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 2.975 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 2.975 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 2.975 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 2.975 * [taylor]: Taking taylor expansion of 1/3 in y 2.975 * [backup-simplify]: Simplify 1/3 into 1/3 2.975 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.975 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.975 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.975 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.975 * [taylor]: Taking taylor expansion of x in y 2.975 * [backup-simplify]: Simplify x into x 2.976 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.976 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.976 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.976 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.976 * [taylor]: Taking taylor expansion of y in y 2.976 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify 1 into 1 2.977 * [backup-simplify]: Simplify (* 1 1) into 1 2.977 * [backup-simplify]: Simplify (/ 1 1) into 1 2.978 * [backup-simplify]: Simplify (+ 0 1) into 1 2.978 * [backup-simplify]: Simplify (log 1) into 0 2.979 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.979 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 2.979 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 2.979 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 2.979 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.979 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.979 * [taylor]: Taking taylor expansion of 1/3 in x 2.979 * [backup-simplify]: Simplify 1/3 into 1/3 2.979 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.979 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.979 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.979 * [taylor]: Taking taylor expansion of x in x 2.979 * [backup-simplify]: Simplify 0 into 0 2.980 * [backup-simplify]: Simplify 1 into 1 2.980 * [backup-simplify]: Simplify (* 1 1) into 1 2.981 * [backup-simplify]: Simplify (/ 1 1) into 1 2.981 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.981 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.981 * [taylor]: Taking taylor expansion of y in x 2.981 * [backup-simplify]: Simplify y into y 2.981 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.981 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.982 * [backup-simplify]: Simplify (+ 1 0) into 1 2.982 * [backup-simplify]: Simplify (log 1) into 0 2.983 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.983 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 2.983 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 2.983 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 2.983 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.983 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.983 * [taylor]: Taking taylor expansion of 1/3 in x 2.983 * [backup-simplify]: Simplify 1/3 into 1/3 2.983 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.983 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.983 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.983 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.983 * [taylor]: Taking taylor expansion of x in x 2.983 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify 1 into 1 2.984 * [backup-simplify]: Simplify (* 1 1) into 1 2.985 * [backup-simplify]: Simplify (/ 1 1) into 1 2.985 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.985 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.985 * [taylor]: Taking taylor expansion of y in x 2.985 * [backup-simplify]: Simplify y into y 2.985 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.985 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.986 * [backup-simplify]: Simplify (+ 1 0) into 1 2.986 * [backup-simplify]: Simplify (log 1) into 0 2.987 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.987 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 2.987 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 2.987 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 2.987 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 2.987 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 2.987 * [taylor]: Taking taylor expansion of -2/3 in y 2.987 * [backup-simplify]: Simplify -2/3 into -2/3 2.987 * [taylor]: Taking taylor expansion of (log x) in y 2.987 * [taylor]: Taking taylor expansion of x in y 2.987 * [backup-simplify]: Simplify x into x 2.988 * [backup-simplify]: Simplify (log x) into (log x) 2.988 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 2.988 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 2.988 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 2.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.990 * [backup-simplify]: Simplify (+ 0 0) into 0 2.992 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.993 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.994 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 2.995 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.995 * [taylor]: Taking taylor expansion of 0 in y 2.995 * [backup-simplify]: Simplify 0 into 0 2.995 * [backup-simplify]: Simplify 0 into 0 2.996 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 2.997 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 2.998 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.998 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.000 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.003 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 3.003 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.004 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 3.005 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) 3.006 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 3.006 * [taylor]: Taking taylor expansion of 1/3 in y 3.006 * [backup-simplify]: Simplify 1/3 into 1/3 3.006 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 3.006 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 3.006 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 3.006 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 3.006 * [taylor]: Taking taylor expansion of 1/3 in y 3.006 * [backup-simplify]: Simplify 1/3 into 1/3 3.006 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 3.006 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.006 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.006 * [taylor]: Taking taylor expansion of x in y 3.006 * [backup-simplify]: Simplify x into x 3.006 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.006 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.006 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 3.007 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 3.007 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 3.007 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.007 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.007 * [taylor]: Taking taylor expansion of y in y 3.007 * [backup-simplify]: Simplify 0 into 0 3.007 * [backup-simplify]: Simplify 1 into 1 3.007 * [backup-simplify]: Simplify (* 1 1) into 1 3.008 * [backup-simplify]: Simplify (/ 1 1) into 1 3.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.012 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 3.013 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 3.014 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 3.016 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.016 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 3.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 3.019 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0 3.021 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 3.022 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.023 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 3.024 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 3.025 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 3.026 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 3.026 * [backup-simplify]: Simplify 0 into 0 3.026 * [backup-simplify]: Simplify 0 into 0 3.028 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 3.029 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 3.031 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.031 * [backup-simplify]: Simplify 0 into 0 3.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.033 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.034 * [backup-simplify]: Simplify (+ 0 0) into 0 3.038 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.039 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.040 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 3.043 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.043 * [taylor]: Taking taylor expansion of 0 in y 3.043 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify (pow (/ 1 x) -2/3) into (pow (/ 1 x) -2/3) 3.044 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) 3.044 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 3.044 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 3.044 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 3.044 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 3.044 * [taylor]: Taking taylor expansion of 1/3 in y 3.044 * [backup-simplify]: Simplify 1/3 into 1/3 3.044 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.044 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.044 * [taylor]: Taking taylor expansion of x in y 3.045 * [backup-simplify]: Simplify x into x 3.045 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.045 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.045 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.045 * [taylor]: Taking taylor expansion of y in y 3.045 * [backup-simplify]: Simplify 0 into 0 3.045 * [backup-simplify]: Simplify 1 into 1 3.045 * [backup-simplify]: Simplify (* 1 1) into 1 3.046 * [backup-simplify]: Simplify (/ 1 1) into 1 3.046 * [backup-simplify]: Simplify (+ 0 1) into 1 3.047 * [backup-simplify]: Simplify (log 1) into 0 3.047 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 3.048 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 3.048 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 3.048 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 3.048 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 3.048 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 3.048 * [taylor]: Taking taylor expansion of 1/3 in x 3.048 * [backup-simplify]: Simplify 1/3 into 1/3 3.048 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.048 * [taylor]: Taking taylor expansion of x in x 3.048 * [backup-simplify]: Simplify 0 into 0 3.048 * [backup-simplify]: Simplify 1 into 1 3.049 * [backup-simplify]: Simplify (* 1 1) into 1 3.049 * [backup-simplify]: Simplify (/ 1 1) into 1 3.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.049 * [taylor]: Taking taylor expansion of y in x 3.049 * [backup-simplify]: Simplify y into y 3.049 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.049 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.050 * [backup-simplify]: Simplify (+ 1 0) into 1 3.050 * [backup-simplify]: Simplify (log 1) into 0 3.051 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.051 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 3.051 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 3.051 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 3.051 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 3.051 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 3.051 * [taylor]: Taking taylor expansion of 1/3 in x 3.051 * [backup-simplify]: Simplify 1/3 into 1/3 3.051 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.052 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.052 * [taylor]: Taking taylor expansion of x in x 3.052 * [backup-simplify]: Simplify 0 into 0 3.052 * [backup-simplify]: Simplify 1 into 1 3.052 * [backup-simplify]: Simplify (* 1 1) into 1 3.053 * [backup-simplify]: Simplify (/ 1 1) into 1 3.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.053 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.053 * [taylor]: Taking taylor expansion of y in x 3.053 * [backup-simplify]: Simplify y into y 3.053 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.053 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.054 * [backup-simplify]: Simplify (+ 1 0) into 1 3.054 * [backup-simplify]: Simplify (log 1) into 0 3.055 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.055 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 3.055 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 3.055 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 3.055 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 3.055 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 3.055 * [taylor]: Taking taylor expansion of -2/3 in y 3.055 * [backup-simplify]: Simplify -2/3 into -2/3 3.055 * [taylor]: Taking taylor expansion of (log x) in y 3.055 * [taylor]: Taking taylor expansion of x in y 3.055 * [backup-simplify]: Simplify x into x 3.055 * [backup-simplify]: Simplify (log x) into (log x) 3.055 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 3.055 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 3.055 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 3.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.058 * [backup-simplify]: Simplify (+ 0 0) into 0 3.059 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.060 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.060 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 3.061 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 3.062 * [taylor]: Taking taylor expansion of 0 in y 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify 0 into 0 3.063 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 3.063 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 3.064 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 3.064 * [backup-simplify]: Simplify 0 into 0 3.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.067 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.069 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 3.070 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.071 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 3.072 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) 3.072 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 3.072 * [taylor]: Taking taylor expansion of 1/3 in y 3.072 * [backup-simplify]: Simplify 1/3 into 1/3 3.072 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 3.072 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 3.072 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 3.072 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 3.072 * [taylor]: Taking taylor expansion of 1/3 in y 3.072 * [backup-simplify]: Simplify 1/3 into 1/3 3.072 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 3.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.072 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.072 * [taylor]: Taking taylor expansion of x in y 3.072 * [backup-simplify]: Simplify x into x 3.072 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.073 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.073 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 3.073 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 3.073 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 3.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.073 * [taylor]: Taking taylor expansion of y in y 3.073 * [backup-simplify]: Simplify 0 into 0 3.073 * [backup-simplify]: Simplify 1 into 1 3.074 * [backup-simplify]: Simplify (* 1 1) into 1 3.074 * [backup-simplify]: Simplify (/ 1 1) into 1 3.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.078 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 3.080 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 3.081 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 3.082 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.090 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 3.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 3.093 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0 3.095 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 3.096 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.097 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 3.098 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 3.098 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 3.099 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 3.099 * [backup-simplify]: Simplify 0 into 0 3.099 * [backup-simplify]: Simplify 0 into 0 3.100 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 3.101 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 3.102 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.102 * [backup-simplify]: Simplify 0 into 0 3.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.103 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.104 * [backup-simplify]: Simplify (+ 0 0) into 0 3.106 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.107 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.108 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 3.109 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.109 * [taylor]: Taking taylor expansion of 0 in y 3.109 * [backup-simplify]: Simplify 0 into 0 3.109 * [backup-simplify]: Simplify 0 into 0 3.109 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -2/3) into (pow (/ -1 x) -2/3) 3.110 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 3.110 * [backup-simplify]: Simplify (cbrt (+ (* x x) (* y y))) into (pow (+ (pow x 2) (pow y 2)) 1/3) 3.110 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 3.110 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 3.110 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 3.110 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 3.110 * [taylor]: Taking taylor expansion of 1/3 in y 3.110 * [backup-simplify]: Simplify 1/3 into 1/3 3.110 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 3.110 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.110 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.110 * [taylor]: Taking taylor expansion of x in y 3.110 * [backup-simplify]: Simplify x into x 3.110 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.110 * [taylor]: Taking taylor expansion of y in y 3.110 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify 1 into 1 3.110 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.110 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.110 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 3.110 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 3.110 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 3.110 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 3.110 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 3.110 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 3.110 * [taylor]: Taking taylor expansion of 1/3 in x 3.111 * [backup-simplify]: Simplify 1/3 into 1/3 3.111 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 3.111 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.111 * [taylor]: Taking taylor expansion of x in x 3.111 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify 1 into 1 3.111 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.111 * [taylor]: Taking taylor expansion of y in x 3.111 * [backup-simplify]: Simplify y into y 3.111 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.111 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.111 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 3.111 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 3.111 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 3.111 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 3.111 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 3.111 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 3.111 * [taylor]: Taking taylor expansion of 1/3 in x 3.111 * [backup-simplify]: Simplify 1/3 into 1/3 3.111 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 3.111 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.111 * [taylor]: Taking taylor expansion of x in x 3.111 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify 1 into 1 3.111 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.111 * [taylor]: Taking taylor expansion of y in x 3.111 * [backup-simplify]: Simplify y into y 3.111 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.111 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.112 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 3.112 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 3.112 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 3.112 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 3.112 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 3.112 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 3.112 * [taylor]: Taking taylor expansion of 1/3 in y 3.112 * [backup-simplify]: Simplify 1/3 into 1/3 3.112 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 3.112 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.112 * [taylor]: Taking taylor expansion of y in y 3.112 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify 1 into 1 3.112 * [backup-simplify]: Simplify (* 1 1) into 1 3.113 * [backup-simplify]: Simplify (log 1) into 0 3.113 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 3.113 * [backup-simplify]: Simplify (* 1/3 (* 2 (log y))) into (* 2/3 (log y)) 3.113 * [backup-simplify]: Simplify (exp (* 2/3 (log y))) into (pow y 2/3) 3.113 * [backup-simplify]: Simplify (pow y 2/3) into (pow y 2/3) 3.113 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.114 * [backup-simplify]: Simplify (+ 0 0) into 0 3.114 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0 3.115 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow y 2)))) into 0 3.115 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 3.115 * [taylor]: Taking taylor expansion of 0 in y 3.115 * [backup-simplify]: Simplify 0 into 0 3.115 * [backup-simplify]: Simplify 0 into 0 3.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.117 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.117 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 3.118 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log y)))) into 0 3.118 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 3.118 * [backup-simplify]: Simplify 0 into 0 3.119 * [backup-simplify]: Simplify (* 1 1) into 1 3.119 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.119 * [backup-simplify]: Simplify (+ 1 0) into 1 3.120 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow y 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow y 2) 1)))) 2) into (/ 1 (pow y 2)) 3.121 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/3 (/ 1 (pow y 2))) 3.122 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 3.122 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 3.122 * [taylor]: Taking taylor expansion of 1/3 in y 3.122 * [backup-simplify]: Simplify 1/3 into 1/3 3.122 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 3.122 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 3.122 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 3.122 * [taylor]: Taking taylor expansion of 1/3 in y 3.122 * [backup-simplify]: Simplify 1/3 into 1/3 3.122 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 3.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 3.122 * [taylor]: Taking taylor expansion of (pow y 4) in y 3.122 * [taylor]: Taking taylor expansion of y in y 3.122 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify 1 into 1 3.122 * [backup-simplify]: Simplify (* 1 1) into 1 3.123 * [backup-simplify]: Simplify (* 1 1) into 1 3.123 * [backup-simplify]: Simplify (/ 1 1) into 1 3.123 * [backup-simplify]: Simplify (log 1) into 0 3.124 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 3.124 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y)) 3.124 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3) 3.124 * [backup-simplify]: Simplify (* 1/3 (pow y -4/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 3.124 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 3.124 * [backup-simplify]: Simplify 0 into 0 3.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.126 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.127 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 3.127 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0 3.128 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.128 * [backup-simplify]: Simplify 0 into 0 3.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.129 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.130 * [backup-simplify]: Simplify (+ 0 0) into 0 3.132 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow y 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow y 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow y 2) 1)))) 6) into 0 3.133 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0 3.134 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.134 * [taylor]: Taking taylor expansion of 0 in y 3.134 * [backup-simplify]: Simplify 0 into 0 3.134 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.137 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.137 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 3.137 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log y))))) into 0 3.138 * [backup-simplify]: Simplify (* (exp (* -4/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 3.139 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow y -4/3))) into 0 3.139 * [backup-simplify]: Simplify 0 into 0 3.139 * [backup-simplify]: Simplify 0 into 0 3.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.143 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.144 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 3.145 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0 3.146 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.146 * [backup-simplify]: Simplify 0 into 0 3.146 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) (pow (* 1 x) 2)) (pow y 2/3)) into (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) 3.147 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) 3.147 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 3.147 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 3.147 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 3.147 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 3.147 * [taylor]: Taking taylor expansion of 1/3 in y 3.147 * [backup-simplify]: Simplify 1/3 into 1/3 3.147 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.147 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.147 * [taylor]: Taking taylor expansion of x in y 3.147 * [backup-simplify]: Simplify x into x 3.147 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.147 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.147 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.147 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.147 * [taylor]: Taking taylor expansion of y in y 3.147 * [backup-simplify]: Simplify 0 into 0 3.147 * [backup-simplify]: Simplify 1 into 1 3.148 * [backup-simplify]: Simplify (* 1 1) into 1 3.148 * [backup-simplify]: Simplify (/ 1 1) into 1 3.148 * [backup-simplify]: Simplify (+ 0 1) into 1 3.148 * [backup-simplify]: Simplify (log 1) into 0 3.149 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 3.149 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 3.149 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 3.149 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 3.149 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 3.149 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 3.149 * [taylor]: Taking taylor expansion of 1/3 in x 3.149 * [backup-simplify]: Simplify 1/3 into 1/3 3.149 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.150 * [taylor]: Taking taylor expansion of x in x 3.150 * [backup-simplify]: Simplify 0 into 0 3.150 * [backup-simplify]: Simplify 1 into 1 3.150 * [backup-simplify]: Simplify (* 1 1) into 1 3.150 * [backup-simplify]: Simplify (/ 1 1) into 1 3.151 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.151 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.151 * [taylor]: Taking taylor expansion of y in x 3.151 * [backup-simplify]: Simplify y into y 3.151 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.151 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.151 * [backup-simplify]: Simplify (+ 1 0) into 1 3.152 * [backup-simplify]: Simplify (log 1) into 0 3.152 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.152 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 3.153 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 3.153 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 3.153 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 3.153 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 3.153 * [taylor]: Taking taylor expansion of 1/3 in x 3.153 * [backup-simplify]: Simplify 1/3 into 1/3 3.153 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.153 * [taylor]: Taking taylor expansion of x in x 3.153 * [backup-simplify]: Simplify 0 into 0 3.153 * [backup-simplify]: Simplify 1 into 1 3.153 * [backup-simplify]: Simplify (* 1 1) into 1 3.154 * [backup-simplify]: Simplify (/ 1 1) into 1 3.154 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.154 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.154 * [taylor]: Taking taylor expansion of y in x 3.154 * [backup-simplify]: Simplify y into y 3.154 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.154 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.155 * [backup-simplify]: Simplify (+ 1 0) into 1 3.155 * [backup-simplify]: Simplify (log 1) into 0 3.156 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.156 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 3.156 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 3.156 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 3.156 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 3.156 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 3.156 * [taylor]: Taking taylor expansion of -2/3 in y 3.156 * [backup-simplify]: Simplify -2/3 into -2/3 3.156 * [taylor]: Taking taylor expansion of (log x) in y 3.156 * [taylor]: Taking taylor expansion of x in y 3.156 * [backup-simplify]: Simplify x into x 3.156 * [backup-simplify]: Simplify (log x) into (log x) 3.156 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 3.156 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 3.157 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 3.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.159 * [backup-simplify]: Simplify (+ 0 0) into 0 3.160 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.160 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.161 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 3.162 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 3.162 * [taylor]: Taking taylor expansion of 0 in y 3.162 * [backup-simplify]: Simplify 0 into 0 3.162 * [backup-simplify]: Simplify 0 into 0 3.163 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 3.164 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 3.165 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 3.165 * [backup-simplify]: Simplify 0 into 0 3.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.167 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.169 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 3.170 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.171 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 3.172 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) 3.172 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 3.172 * [taylor]: Taking taylor expansion of 1/3 in y 3.172 * [backup-simplify]: Simplify 1/3 into 1/3 3.172 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 3.172 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 3.172 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 3.172 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 3.172 * [taylor]: Taking taylor expansion of 1/3 in y 3.172 * [backup-simplify]: Simplify 1/3 into 1/3 3.173 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 3.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.173 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.173 * [taylor]: Taking taylor expansion of x in y 3.173 * [backup-simplify]: Simplify x into x 3.173 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.173 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.173 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 3.173 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 3.173 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 3.174 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.174 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.174 * [taylor]: Taking taylor expansion of y in y 3.174 * [backup-simplify]: Simplify 0 into 0 3.174 * [backup-simplify]: Simplify 1 into 1 3.174 * [backup-simplify]: Simplify (* 1 1) into 1 3.175 * [backup-simplify]: Simplify (/ 1 1) into 1 3.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.178 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 3.180 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 3.181 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 3.182 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.182 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 3.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 3.185 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0 3.186 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 3.188 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.189 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 3.190 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 3.190 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 3.192 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 3.192 * [backup-simplify]: Simplify 0 into 0 3.192 * [backup-simplify]: Simplify 0 into 0 3.194 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 3.195 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 3.197 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.197 * [backup-simplify]: Simplify 0 into 0 3.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.199 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.200 * [backup-simplify]: Simplify (+ 0 0) into 0 3.205 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.206 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.207 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 3.209 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.209 * [taylor]: Taking taylor expansion of 0 in y 3.209 * [backup-simplify]: Simplify 0 into 0 3.210 * [backup-simplify]: Simplify 0 into 0 3.210 * [backup-simplify]: Simplify (pow (/ 1 x) -2/3) into (pow (/ 1 x) -2/3) 3.210 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) 3.210 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 3.210 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 3.210 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 3.210 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 3.210 * [taylor]: Taking taylor expansion of 1/3 in y 3.210 * [backup-simplify]: Simplify 1/3 into 1/3 3.210 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.210 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.211 * [taylor]: Taking taylor expansion of x in y 3.211 * [backup-simplify]: Simplify x into x 3.211 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.211 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.211 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.211 * [taylor]: Taking taylor expansion of y in y 3.211 * [backup-simplify]: Simplify 0 into 0 3.211 * [backup-simplify]: Simplify 1 into 1 3.211 * [backup-simplify]: Simplify (* 1 1) into 1 3.212 * [backup-simplify]: Simplify (/ 1 1) into 1 3.212 * [backup-simplify]: Simplify (+ 0 1) into 1 3.213 * [backup-simplify]: Simplify (log 1) into 0 3.213 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 3.213 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 3.214 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 3.214 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 3.214 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 3.214 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 3.214 * [taylor]: Taking taylor expansion of 1/3 in x 3.214 * [backup-simplify]: Simplify 1/3 into 1/3 3.214 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.214 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.214 * [taylor]: Taking taylor expansion of x in x 3.214 * [backup-simplify]: Simplify 0 into 0 3.214 * [backup-simplify]: Simplify 1 into 1 3.214 * [backup-simplify]: Simplify (* 1 1) into 1 3.215 * [backup-simplify]: Simplify (/ 1 1) into 1 3.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.215 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.215 * [taylor]: Taking taylor expansion of y in x 3.215 * [backup-simplify]: Simplify y into y 3.215 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.215 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.216 * [backup-simplify]: Simplify (+ 1 0) into 1 3.216 * [backup-simplify]: Simplify (log 1) into 0 3.217 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.217 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 3.217 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 3.217 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 3.217 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 3.217 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 3.217 * [taylor]: Taking taylor expansion of 1/3 in x 3.217 * [backup-simplify]: Simplify 1/3 into 1/3 3.217 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.217 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.217 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.217 * [taylor]: Taking taylor expansion of x in x 3.217 * [backup-simplify]: Simplify 0 into 0 3.217 * [backup-simplify]: Simplify 1 into 1 3.218 * [backup-simplify]: Simplify (* 1 1) into 1 3.218 * [backup-simplify]: Simplify (/ 1 1) into 1 3.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.218 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.218 * [taylor]: Taking taylor expansion of y in x 3.218 * [backup-simplify]: Simplify y into y 3.218 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.218 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.219 * [backup-simplify]: Simplify (+ 1 0) into 1 3.219 * [backup-simplify]: Simplify (log 1) into 0 3.220 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.220 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 3.220 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 3.220 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 3.220 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 3.220 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 3.220 * [taylor]: Taking taylor expansion of -2/3 in y 3.220 * [backup-simplify]: Simplify -2/3 into -2/3 3.220 * [taylor]: Taking taylor expansion of (log x) in y 3.220 * [taylor]: Taking taylor expansion of x in y 3.220 * [backup-simplify]: Simplify x into x 3.220 * [backup-simplify]: Simplify (log x) into (log x) 3.220 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 3.220 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 3.221 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 3.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.222 * [backup-simplify]: Simplify (+ 0 0) into 0 3.223 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.223 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.223 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 3.224 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 3.224 * [taylor]: Taking taylor expansion of 0 in y 3.224 * [backup-simplify]: Simplify 0 into 0 3.224 * [backup-simplify]: Simplify 0 into 0 3.225 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 3.225 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 3.225 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 3.225 * [backup-simplify]: Simplify 0 into 0 3.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.227 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.228 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 3.228 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.229 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 3.230 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) 3.230 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 3.230 * [taylor]: Taking taylor expansion of 1/3 in y 3.230 * [backup-simplify]: Simplify 1/3 into 1/3 3.230 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 3.230 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 3.230 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 3.230 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 3.230 * [taylor]: Taking taylor expansion of 1/3 in y 3.230 * [backup-simplify]: Simplify 1/3 into 1/3 3.230 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 3.230 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.230 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.230 * [taylor]: Taking taylor expansion of x in y 3.230 * [backup-simplify]: Simplify x into x 3.230 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.230 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.230 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 3.230 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 3.230 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 3.230 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.230 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.230 * [taylor]: Taking taylor expansion of y in y 3.230 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify 1 into 1 3.236 * [backup-simplify]: Simplify (* 1 1) into 1 3.237 * [backup-simplify]: Simplify (/ 1 1) into 1 3.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.239 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 3.240 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 3.240 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 3.241 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.241 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 3.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 3.243 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0 3.244 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 3.245 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.245 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 3.246 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 3.246 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 3.247 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 3.247 * [backup-simplify]: Simplify 0 into 0 3.247 * [backup-simplify]: Simplify 0 into 0 3.248 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 3.249 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 3.250 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.250 * [backup-simplify]: Simplify 0 into 0 3.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.253 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.254 * [backup-simplify]: Simplify (+ 0 0) into 0 3.258 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.258 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.259 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 3.262 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.262 * [taylor]: Taking taylor expansion of 0 in y 3.262 * [backup-simplify]: Simplify 0 into 0 3.262 * [backup-simplify]: Simplify 0 into 0 3.262 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -2/3) into (pow (/ -1 x) -2/3) 3.262 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 3.263 * [backup-simplify]: Simplify (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))) into (sqrt (+ (pow x 2) (pow y 2))) 3.263 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 3.263 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 3.263 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.263 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.263 * [taylor]: Taking taylor expansion of x in y 3.263 * [backup-simplify]: Simplify x into x 3.263 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.263 * [taylor]: Taking taylor expansion of y in y 3.263 * [backup-simplify]: Simplify 0 into 0 3.263 * [backup-simplify]: Simplify 1 into 1 3.264 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.264 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.264 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 3.264 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.265 * [backup-simplify]: Simplify (+ 0 0) into 0 3.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 3.265 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.265 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.265 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.265 * [taylor]: Taking taylor expansion of x in x 3.265 * [backup-simplify]: Simplify 0 into 0 3.265 * [backup-simplify]: Simplify 1 into 1 3.265 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.265 * [taylor]: Taking taylor expansion of y in x 3.265 * [backup-simplify]: Simplify y into y 3.265 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.265 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.265 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 3.266 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.266 * [backup-simplify]: Simplify (+ 0 0) into 0 3.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 3.266 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.266 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.266 * [taylor]: Taking taylor expansion of x in x 3.266 * [backup-simplify]: Simplify 0 into 0 3.267 * [backup-simplify]: Simplify 1 into 1 3.267 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.267 * [taylor]: Taking taylor expansion of y in x 3.267 * [backup-simplify]: Simplify y into y 3.267 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.267 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.267 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 3.267 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.268 * [backup-simplify]: Simplify (+ 0 0) into 0 3.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 3.268 * [taylor]: Taking taylor expansion of y in y 3.268 * [backup-simplify]: Simplify 0 into 0 3.268 * [backup-simplify]: Simplify 1 into 1 3.268 * [backup-simplify]: Simplify 0 into 0 3.268 * [taylor]: Taking taylor expansion of 0 in y 3.268 * [backup-simplify]: Simplify 0 into 0 3.268 * [backup-simplify]: Simplify 0 into 0 3.268 * [backup-simplify]: Simplify 1 into 1 3.269 * [backup-simplify]: Simplify (* 1 1) into 1 3.269 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.270 * [backup-simplify]: Simplify (+ 1 0) into 1 3.270 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 3.270 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.270 * [taylor]: Taking taylor expansion of 1/2 in y 3.271 * [backup-simplify]: Simplify 1/2 into 1/2 3.271 * [taylor]: Taking taylor expansion of y in y 3.271 * [backup-simplify]: Simplify 0 into 0 3.271 * [backup-simplify]: Simplify 1 into 1 3.271 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.272 * [backup-simplify]: Simplify 0 into 0 3.272 * [backup-simplify]: Simplify 0 into 0 3.272 * [backup-simplify]: Simplify 0 into 0 3.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.274 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.274 * [backup-simplify]: Simplify (+ 0 0) into 0 3.274 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 3.274 * [taylor]: Taking taylor expansion of 0 in y 3.274 * [backup-simplify]: Simplify 0 into 0 3.274 * [backup-simplify]: Simplify 0 into 0 3.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.276 * [backup-simplify]: Simplify 0 into 0 3.276 * [backup-simplify]: Simplify 0 into 0 3.276 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 3.277 * [backup-simplify]: Simplify (sqrt (* (* (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3.277 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.277 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.277 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.277 * [taylor]: Taking taylor expansion of x in y 3.277 * [backup-simplify]: Simplify x into x 3.277 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.278 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.278 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.278 * [taylor]: Taking taylor expansion of y in y 3.278 * [backup-simplify]: Simplify 0 into 0 3.278 * [backup-simplify]: Simplify 1 into 1 3.278 * [backup-simplify]: Simplify (* 1 1) into 1 3.279 * [backup-simplify]: Simplify (/ 1 1) into 1 3.279 * [backup-simplify]: Simplify (+ 0 1) into 1 3.280 * [backup-simplify]: Simplify (sqrt 1) into 1 3.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.282 * [backup-simplify]: Simplify (+ 0 0) into 0 3.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.283 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.283 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.283 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.283 * [taylor]: Taking taylor expansion of x in x 3.283 * [backup-simplify]: Simplify 0 into 0 3.283 * [backup-simplify]: Simplify 1 into 1 3.284 * [backup-simplify]: Simplify (* 1 1) into 1 3.284 * [backup-simplify]: Simplify (/ 1 1) into 1 3.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.284 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.284 * [taylor]: Taking taylor expansion of y in x 3.284 * [backup-simplify]: Simplify y into y 3.284 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.285 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.285 * [backup-simplify]: Simplify (+ 1 0) into 1 3.286 * [backup-simplify]: Simplify (sqrt 1) into 1 3.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.288 * [backup-simplify]: Simplify (+ 0 0) into 0 3.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.288 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.289 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.289 * [taylor]: Taking taylor expansion of x in x 3.289 * [backup-simplify]: Simplify 0 into 0 3.289 * [backup-simplify]: Simplify 1 into 1 3.289 * [backup-simplify]: Simplify (* 1 1) into 1 3.290 * [backup-simplify]: Simplify (/ 1 1) into 1 3.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.290 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.290 * [taylor]: Taking taylor expansion of y in x 3.290 * [backup-simplify]: Simplify y into y 3.290 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.290 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.291 * [backup-simplify]: Simplify (+ 1 0) into 1 3.291 * [backup-simplify]: Simplify (sqrt 1) into 1 3.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.294 * [backup-simplify]: Simplify (+ 0 0) into 0 3.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.295 * [taylor]: Taking taylor expansion of 1 in y 3.295 * [backup-simplify]: Simplify 1 into 1 3.295 * [taylor]: Taking taylor expansion of 0 in y 3.295 * [backup-simplify]: Simplify 0 into 0 3.295 * [backup-simplify]: Simplify 1 into 1 3.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.298 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.299 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 3.299 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.299 * [taylor]: Taking taylor expansion of 1/2 in y 3.299 * [backup-simplify]: Simplify 1/2 into 1/2 3.300 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.300 * [taylor]: Taking taylor expansion of y in y 3.300 * [backup-simplify]: Simplify 0 into 0 3.300 * [backup-simplify]: Simplify 1 into 1 3.300 * [backup-simplify]: Simplify (* 1 1) into 1 3.301 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.302 * [backup-simplify]: Simplify 0 into 0 3.302 * [backup-simplify]: Simplify 0 into 0 3.302 * [backup-simplify]: Simplify 0 into 0 3.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.304 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.304 * [backup-simplify]: Simplify (+ 0 0) into 0 3.305 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 3.305 * [taylor]: Taking taylor expansion of 0 in y 3.305 * [backup-simplify]: Simplify 0 into 0 3.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.306 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 3.307 * [backup-simplify]: Simplify (sqrt (* (* (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3.307 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.307 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.307 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.307 * [taylor]: Taking taylor expansion of x in y 3.307 * [backup-simplify]: Simplify x into x 3.307 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.307 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.308 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.308 * [taylor]: Taking taylor expansion of y in y 3.308 * [backup-simplify]: Simplify 0 into 0 3.308 * [backup-simplify]: Simplify 1 into 1 3.308 * [backup-simplify]: Simplify (* 1 1) into 1 3.308 * [backup-simplify]: Simplify (/ 1 1) into 1 3.309 * [backup-simplify]: Simplify (+ 0 1) into 1 3.309 * [backup-simplify]: Simplify (sqrt 1) into 1 3.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.310 * [backup-simplify]: Simplify (+ 0 0) into 0 3.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.311 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.311 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.311 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.311 * [taylor]: Taking taylor expansion of x in x 3.311 * [backup-simplify]: Simplify 0 into 0 3.311 * [backup-simplify]: Simplify 1 into 1 3.311 * [backup-simplify]: Simplify (* 1 1) into 1 3.311 * [backup-simplify]: Simplify (/ 1 1) into 1 3.311 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.311 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.311 * [taylor]: Taking taylor expansion of y in x 3.311 * [backup-simplify]: Simplify y into y 3.311 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.312 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.312 * [backup-simplify]: Simplify (+ 1 0) into 1 3.312 * [backup-simplify]: Simplify (sqrt 1) into 1 3.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.313 * [backup-simplify]: Simplify (+ 0 0) into 0 3.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.314 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.314 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.314 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.314 * [taylor]: Taking taylor expansion of x in x 3.314 * [backup-simplify]: Simplify 0 into 0 3.314 * [backup-simplify]: Simplify 1 into 1 3.314 * [backup-simplify]: Simplify (* 1 1) into 1 3.315 * [backup-simplify]: Simplify (/ 1 1) into 1 3.315 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.315 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.315 * [taylor]: Taking taylor expansion of y in x 3.315 * [backup-simplify]: Simplify y into y 3.315 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.315 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.315 * [backup-simplify]: Simplify (+ 1 0) into 1 3.315 * [backup-simplify]: Simplify (sqrt 1) into 1 3.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.317 * [backup-simplify]: Simplify (+ 0 0) into 0 3.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.317 * [taylor]: Taking taylor expansion of 1 in y 3.317 * [backup-simplify]: Simplify 1 into 1 3.317 * [taylor]: Taking taylor expansion of 0 in y 3.317 * [backup-simplify]: Simplify 0 into 0 3.317 * [backup-simplify]: Simplify 1 into 1 3.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.319 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.320 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 3.320 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.320 * [taylor]: Taking taylor expansion of 1/2 in y 3.320 * [backup-simplify]: Simplify 1/2 into 1/2 3.320 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.320 * [taylor]: Taking taylor expansion of y in y 3.320 * [backup-simplify]: Simplify 0 into 0 3.320 * [backup-simplify]: Simplify 1 into 1 3.320 * [backup-simplify]: Simplify (* 1 1) into 1 3.320 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.321 * [backup-simplify]: Simplify 0 into 0 3.321 * [backup-simplify]: Simplify 0 into 0 3.321 * [backup-simplify]: Simplify 0 into 0 3.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.323 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.323 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.324 * [backup-simplify]: Simplify (+ 0 0) into 0 3.324 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 3.324 * [taylor]: Taking taylor expansion of 0 in y 3.324 * [backup-simplify]: Simplify 0 into 0 3.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 3.326 * * * [progress]: simplifying candidates 3.328 * [simplify]: Simplifying: (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt 1) (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt 1) (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt 1) (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (log (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))) (exp (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))) (* (cbrt (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))) (cbrt (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))))) (cbrt (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))) (* (* (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (sqrt (* (* (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (sqrt (* (* (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (cbrt (- (* x x) (* y y))))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (sqrt (* (* (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* x x) (* y y)))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (sqrt (* (* (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* x x) (* y y)))) (cbrt (- (* x x) (* y y))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (sqrt (* (* (cbrt (- (* x x) (* y y))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (sqrt (* (* (cbrt (- (* x x) (* y y))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (cbrt (- (* x x) (* y y))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (sqrt (* (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (sqrt (* (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (cbrt (- (* x x) (* y y))))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (sqrt (* (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (sqrt (* (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* x x) (* y y))))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (sqrt (* (cbrt (- (* x x) (* y y))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (sqrt (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (sqrt (* (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* x x) (* y y)))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (sqrt (* (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* x x) (* y y))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (sqrt (* (cbrt (- (* x x) (* y y))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (* x x) (* y y)))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (sqrt (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (sqrt (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (sqrt (cbrt (- (* x x) (* y y)))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* x x) (* y y))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (- (* x x) (* y y))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (- (* x x) (* y y)))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (- (* x x) (* y y)))) (/ (+ (+ 1/3 1/3) 1/3) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ 2 1) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ (* 2 1/3) 1/3) 2) (/ (+ (* 2 1) 1) 2) (/ 1/3 2) (/ 1 2) (/ 1 2) (/ 3 2) (/ (+ (+ 1 1) 1) 2) (/ (+ 2 1) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ (* 2 1) 1) 2) (/ 1 2) (sqrt (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))) (sqrt (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))) (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) y x (* -1 x) 4.321 * * * [progress]: adding candidates to table 4.699 * * [progress]: iteration 4 / 4 4.699 * * * [progress]: picking best candidate 4.702 * * * * [pick]: Picked # 4.702 * * * [progress]: localizing error 4.721 * * * [progress]: generating rewritten candidates 4.721 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 4.730 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 4.740 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 4.755 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.877 * * * [progress]: generating series expansions 4.877 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 4.878 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 4.878 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 4.878 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 4.878 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 4.878 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.878 * [taylor]: Taking taylor expansion of x in y 4.878 * [backup-simplify]: Simplify x into x 4.878 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.878 * [taylor]: Taking taylor expansion of y in y 4.878 * [backup-simplify]: Simplify 0 into 0 4.878 * [backup-simplify]: Simplify 1 into 1 4.878 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.878 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.878 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 4.879 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.879 * [backup-simplify]: Simplify (+ 0 0) into 0 4.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 4.880 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 4.880 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.880 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.880 * [taylor]: Taking taylor expansion of x in x 4.880 * [backup-simplify]: Simplify 0 into 0 4.880 * [backup-simplify]: Simplify 1 into 1 4.880 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.880 * [taylor]: Taking taylor expansion of y in x 4.880 * [backup-simplify]: Simplify y into y 4.880 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.880 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 4.880 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 4.881 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.881 * [backup-simplify]: Simplify (+ 0 0) into 0 4.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 4.881 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 4.881 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.881 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.881 * [taylor]: Taking taylor expansion of x in x 4.881 * [backup-simplify]: Simplify 0 into 0 4.882 * [backup-simplify]: Simplify 1 into 1 4.882 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.882 * [taylor]: Taking taylor expansion of y in x 4.882 * [backup-simplify]: Simplify y into y 4.882 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.882 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 4.882 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 4.882 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.883 * [backup-simplify]: Simplify (+ 0 0) into 0 4.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 4.883 * [taylor]: Taking taylor expansion of y in y 4.883 * [backup-simplify]: Simplify 0 into 0 4.883 * [backup-simplify]: Simplify 1 into 1 4.883 * [backup-simplify]: Simplify 0 into 0 4.883 * [taylor]: Taking taylor expansion of 0 in y 4.883 * [backup-simplify]: Simplify 0 into 0 4.883 * [backup-simplify]: Simplify 0 into 0 4.883 * [backup-simplify]: Simplify 1 into 1 4.884 * [backup-simplify]: Simplify (* 1 1) into 1 4.885 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.885 * [backup-simplify]: Simplify (+ 1 0) into 1 4.886 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 4.886 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 4.886 * [taylor]: Taking taylor expansion of 1/2 in y 4.886 * [backup-simplify]: Simplify 1/2 into 1/2 4.886 * [taylor]: Taking taylor expansion of y in y 4.886 * [backup-simplify]: Simplify 0 into 0 4.886 * [backup-simplify]: Simplify 1 into 1 4.887 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.888 * [backup-simplify]: Simplify 0 into 0 4.888 * [backup-simplify]: Simplify 0 into 0 4.888 * [backup-simplify]: Simplify 0 into 0 4.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.891 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.891 * [backup-simplify]: Simplify (+ 0 0) into 0 4.891 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 4.891 * [taylor]: Taking taylor expansion of 0 in y 4.891 * [backup-simplify]: Simplify 0 into 0 4.891 * [backup-simplify]: Simplify 0 into 0 4.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.893 * [backup-simplify]: Simplify 0 into 0 4.893 * [backup-simplify]: Simplify 0 into 0 4.893 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 4.893 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 4.893 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 4.893 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 4.893 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.893 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.893 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.893 * [taylor]: Taking taylor expansion of x in y 4.893 * [backup-simplify]: Simplify x into x 4.893 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.893 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.893 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.893 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.893 * [taylor]: Taking taylor expansion of y in y 4.893 * [backup-simplify]: Simplify 0 into 0 4.893 * [backup-simplify]: Simplify 1 into 1 4.894 * [backup-simplify]: Simplify (* 1 1) into 1 4.894 * [backup-simplify]: Simplify (/ 1 1) into 1 4.895 * [backup-simplify]: Simplify (+ 0 1) into 1 4.895 * [backup-simplify]: Simplify (sqrt 1) into 1 4.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.896 * [backup-simplify]: Simplify (+ 0 0) into 0 4.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.897 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.897 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.897 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.897 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.897 * [taylor]: Taking taylor expansion of x in x 4.897 * [backup-simplify]: Simplify 0 into 0 4.897 * [backup-simplify]: Simplify 1 into 1 4.897 * [backup-simplify]: Simplify (* 1 1) into 1 4.898 * [backup-simplify]: Simplify (/ 1 1) into 1 4.898 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.898 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.898 * [taylor]: Taking taylor expansion of y in x 4.898 * [backup-simplify]: Simplify y into y 4.898 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.898 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.898 * [backup-simplify]: Simplify (+ 1 0) into 1 4.899 * [backup-simplify]: Simplify (sqrt 1) into 1 4.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.900 * [backup-simplify]: Simplify (+ 0 0) into 0 4.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.900 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.901 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.901 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.901 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.901 * [taylor]: Taking taylor expansion of x in x 4.901 * [backup-simplify]: Simplify 0 into 0 4.901 * [backup-simplify]: Simplify 1 into 1 4.901 * [backup-simplify]: Simplify (* 1 1) into 1 4.901 * [backup-simplify]: Simplify (/ 1 1) into 1 4.901 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.901 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.901 * [taylor]: Taking taylor expansion of y in x 4.901 * [backup-simplify]: Simplify y into y 4.901 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.902 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.902 * [backup-simplify]: Simplify (+ 1 0) into 1 4.902 * [backup-simplify]: Simplify (sqrt 1) into 1 4.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.908 * [backup-simplify]: Simplify (+ 0 0) into 0 4.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.909 * [taylor]: Taking taylor expansion of 1 in y 4.909 * [backup-simplify]: Simplify 1 into 1 4.909 * [taylor]: Taking taylor expansion of 0 in y 4.909 * [backup-simplify]: Simplify 0 into 0 4.909 * [backup-simplify]: Simplify 1 into 1 4.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.911 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.912 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 4.912 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 4.912 * [taylor]: Taking taylor expansion of 1/2 in y 4.912 * [backup-simplify]: Simplify 1/2 into 1/2 4.912 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.912 * [taylor]: Taking taylor expansion of y in y 4.912 * [backup-simplify]: Simplify 0 into 0 4.912 * [backup-simplify]: Simplify 1 into 1 4.912 * [backup-simplify]: Simplify (* 1 1) into 1 4.913 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.914 * [backup-simplify]: Simplify 0 into 0 4.914 * [backup-simplify]: Simplify 0 into 0 4.914 * [backup-simplify]: Simplify 0 into 0 4.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.915 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.916 * [backup-simplify]: Simplify (+ 0 0) into 0 4.917 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 4.917 * [taylor]: Taking taylor expansion of 0 in y 4.917 * [backup-simplify]: Simplify 0 into 0 4.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.918 * [backup-simplify]: Simplify 0 into 0 4.918 * [backup-simplify]: Simplify 0 into 0 4.918 * [backup-simplify]: Simplify 0 into 0 4.919 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 4.919 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 4.919 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 4.919 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 4.919 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.919 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.919 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.919 * [taylor]: Taking taylor expansion of x in y 4.919 * [backup-simplify]: Simplify x into x 4.919 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.919 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.919 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.919 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.919 * [taylor]: Taking taylor expansion of y in y 4.919 * [backup-simplify]: Simplify 0 into 0 4.919 * [backup-simplify]: Simplify 1 into 1 4.920 * [backup-simplify]: Simplify (* 1 1) into 1 4.920 * [backup-simplify]: Simplify (/ 1 1) into 1 4.920 * [backup-simplify]: Simplify (+ 0 1) into 1 4.921 * [backup-simplify]: Simplify (sqrt 1) into 1 4.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.922 * [backup-simplify]: Simplify (+ 0 0) into 0 4.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.922 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.922 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.922 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.922 * [taylor]: Taking taylor expansion of x in x 4.923 * [backup-simplify]: Simplify 0 into 0 4.923 * [backup-simplify]: Simplify 1 into 1 4.923 * [backup-simplify]: Simplify (* 1 1) into 1 4.923 * [backup-simplify]: Simplify (/ 1 1) into 1 4.923 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.923 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.923 * [taylor]: Taking taylor expansion of y in x 4.923 * [backup-simplify]: Simplify y into y 4.923 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.924 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.924 * [backup-simplify]: Simplify (+ 1 0) into 1 4.924 * [backup-simplify]: Simplify (sqrt 1) into 1 4.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.926 * [backup-simplify]: Simplify (+ 0 0) into 0 4.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.927 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.927 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.927 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.927 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.927 * [taylor]: Taking taylor expansion of x in x 4.927 * [backup-simplify]: Simplify 0 into 0 4.927 * [backup-simplify]: Simplify 1 into 1 4.928 * [backup-simplify]: Simplify (* 1 1) into 1 4.928 * [backup-simplify]: Simplify (/ 1 1) into 1 4.929 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.929 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.929 * [taylor]: Taking taylor expansion of y in x 4.929 * [backup-simplify]: Simplify y into y 4.929 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.929 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.930 * [backup-simplify]: Simplify (+ 1 0) into 1 4.930 * [backup-simplify]: Simplify (sqrt 1) into 1 4.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.932 * [backup-simplify]: Simplify (+ 0 0) into 0 4.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.934 * [taylor]: Taking taylor expansion of 1 in y 4.934 * [backup-simplify]: Simplify 1 into 1 4.934 * [taylor]: Taking taylor expansion of 0 in y 4.934 * [backup-simplify]: Simplify 0 into 0 4.934 * [backup-simplify]: Simplify 1 into 1 4.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.936 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.937 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 4.938 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 4.938 * [taylor]: Taking taylor expansion of 1/2 in y 4.938 * [backup-simplify]: Simplify 1/2 into 1/2 4.938 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.938 * [taylor]: Taking taylor expansion of y in y 4.938 * [backup-simplify]: Simplify 0 into 0 4.938 * [backup-simplify]: Simplify 1 into 1 4.938 * [backup-simplify]: Simplify (* 1 1) into 1 4.938 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.939 * [backup-simplify]: Simplify 0 into 0 4.939 * [backup-simplify]: Simplify 0 into 0 4.939 * [backup-simplify]: Simplify 0 into 0 4.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.941 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.942 * [backup-simplify]: Simplify (+ 0 0) into 0 4.942 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 4.942 * [taylor]: Taking taylor expansion of 0 in y 4.942 * [backup-simplify]: Simplify 0 into 0 4.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.944 * [backup-simplify]: Simplify 0 into 0 4.944 * [backup-simplify]: Simplify 0 into 0 4.944 * [backup-simplify]: Simplify 0 into 0 4.944 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 4.944 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 4.944 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 4.944 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 4.944 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 4.944 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 4.944 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.944 * [taylor]: Taking taylor expansion of x in y 4.944 * [backup-simplify]: Simplify x into x 4.944 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.944 * [taylor]: Taking taylor expansion of y in y 4.944 * [backup-simplify]: Simplify 0 into 0 4.944 * [backup-simplify]: Simplify 1 into 1 4.944 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.944 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.944 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 4.944 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.945 * [backup-simplify]: Simplify (+ 0 0) into 0 4.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 4.945 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 4.945 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.945 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.945 * [taylor]: Taking taylor expansion of x in x 4.945 * [backup-simplify]: Simplify 0 into 0 4.945 * [backup-simplify]: Simplify 1 into 1 4.945 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.945 * [taylor]: Taking taylor expansion of y in x 4.945 * [backup-simplify]: Simplify y into y 4.945 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.945 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 4.945 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 4.945 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.946 * [backup-simplify]: Simplify (+ 0 0) into 0 4.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 4.946 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 4.946 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.946 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.946 * [taylor]: Taking taylor expansion of x in x 4.946 * [backup-simplify]: Simplify 0 into 0 4.946 * [backup-simplify]: Simplify 1 into 1 4.946 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.946 * [taylor]: Taking taylor expansion of y in x 4.946 * [backup-simplify]: Simplify y into y 4.946 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.946 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 4.946 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 4.947 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.947 * [backup-simplify]: Simplify (+ 0 0) into 0 4.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 4.947 * [taylor]: Taking taylor expansion of y in y 4.947 * [backup-simplify]: Simplify 0 into 0 4.947 * [backup-simplify]: Simplify 1 into 1 4.947 * [backup-simplify]: Simplify 0 into 0 4.947 * [taylor]: Taking taylor expansion of 0 in y 4.947 * [backup-simplify]: Simplify 0 into 0 4.947 * [backup-simplify]: Simplify 0 into 0 4.947 * [backup-simplify]: Simplify 1 into 1 4.948 * [backup-simplify]: Simplify (* 1 1) into 1 4.948 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.948 * [backup-simplify]: Simplify (+ 1 0) into 1 4.949 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 4.949 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 4.949 * [taylor]: Taking taylor expansion of 1/2 in y 4.949 * [backup-simplify]: Simplify 1/2 into 1/2 4.949 * [taylor]: Taking taylor expansion of y in y 4.949 * [backup-simplify]: Simplify 0 into 0 4.949 * [backup-simplify]: Simplify 1 into 1 4.949 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.950 * [backup-simplify]: Simplify 0 into 0 4.950 * [backup-simplify]: Simplify 0 into 0 4.950 * [backup-simplify]: Simplify 0 into 0 4.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.951 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.951 * [backup-simplify]: Simplify (+ 0 0) into 0 4.952 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 4.952 * [taylor]: Taking taylor expansion of 0 in y 4.952 * [backup-simplify]: Simplify 0 into 0 4.952 * [backup-simplify]: Simplify 0 into 0 4.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.952 * [backup-simplify]: Simplify 0 into 0 4.952 * [backup-simplify]: Simplify 0 into 0 4.952 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 4.953 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 4.953 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 4.953 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 4.953 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.953 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.953 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.953 * [taylor]: Taking taylor expansion of x in y 4.953 * [backup-simplify]: Simplify x into x 4.953 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.953 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.953 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.953 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.953 * [taylor]: Taking taylor expansion of y in y 4.953 * [backup-simplify]: Simplify 0 into 0 4.953 * [backup-simplify]: Simplify 1 into 1 4.953 * [backup-simplify]: Simplify (* 1 1) into 1 4.954 * [backup-simplify]: Simplify (/ 1 1) into 1 4.954 * [backup-simplify]: Simplify (+ 0 1) into 1 4.954 * [backup-simplify]: Simplify (sqrt 1) into 1 4.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.955 * [backup-simplify]: Simplify (+ 0 0) into 0 4.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.957 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.957 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.957 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.957 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.957 * [taylor]: Taking taylor expansion of x in x 4.957 * [backup-simplify]: Simplify 0 into 0 4.957 * [backup-simplify]: Simplify 1 into 1 4.958 * [backup-simplify]: Simplify (* 1 1) into 1 4.958 * [backup-simplify]: Simplify (/ 1 1) into 1 4.958 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.958 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.958 * [taylor]: Taking taylor expansion of y in x 4.958 * [backup-simplify]: Simplify y into y 4.958 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.958 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.959 * [backup-simplify]: Simplify (+ 1 0) into 1 4.959 * [backup-simplify]: Simplify (sqrt 1) into 1 4.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.960 * [backup-simplify]: Simplify (+ 0 0) into 0 4.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.961 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.961 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.961 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.961 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.961 * [taylor]: Taking taylor expansion of x in x 4.961 * [backup-simplify]: Simplify 0 into 0 4.961 * [backup-simplify]: Simplify 1 into 1 4.962 * [backup-simplify]: Simplify (* 1 1) into 1 4.962 * [backup-simplify]: Simplify (/ 1 1) into 1 4.962 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.962 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.962 * [taylor]: Taking taylor expansion of y in x 4.962 * [backup-simplify]: Simplify y into y 4.962 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.963 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.963 * [backup-simplify]: Simplify (+ 1 0) into 1 4.964 * [backup-simplify]: Simplify (sqrt 1) into 1 4.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.966 * [backup-simplify]: Simplify (+ 0 0) into 0 4.967 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.967 * [taylor]: Taking taylor expansion of 1 in y 4.967 * [backup-simplify]: Simplify 1 into 1 4.967 * [taylor]: Taking taylor expansion of 0 in y 4.967 * [backup-simplify]: Simplify 0 into 0 4.967 * [backup-simplify]: Simplify 1 into 1 4.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.969 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.971 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 4.971 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 4.971 * [taylor]: Taking taylor expansion of 1/2 in y 4.971 * [backup-simplify]: Simplify 1/2 into 1/2 4.971 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.971 * [taylor]: Taking taylor expansion of y in y 4.971 * [backup-simplify]: Simplify 0 into 0 4.971 * [backup-simplify]: Simplify 1 into 1 4.972 * [backup-simplify]: Simplify (* 1 1) into 1 4.972 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.974 * [backup-simplify]: Simplify 0 into 0 4.974 * [backup-simplify]: Simplify 0 into 0 4.974 * [backup-simplify]: Simplify 0 into 0 4.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.977 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.978 * [backup-simplify]: Simplify (+ 0 0) into 0 4.979 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 4.979 * [taylor]: Taking taylor expansion of 0 in y 4.979 * [backup-simplify]: Simplify 0 into 0 4.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.982 * [backup-simplify]: Simplify 0 into 0 4.982 * [backup-simplify]: Simplify 0 into 0 4.982 * [backup-simplify]: Simplify 0 into 0 4.982 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 4.983 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 4.983 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 4.983 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 4.983 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.983 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.983 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.983 * [taylor]: Taking taylor expansion of x in y 4.983 * [backup-simplify]: Simplify x into x 4.983 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.983 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.983 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.983 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.983 * [taylor]: Taking taylor expansion of y in y 4.983 * [backup-simplify]: Simplify 0 into 0 4.983 * [backup-simplify]: Simplify 1 into 1 4.984 * [backup-simplify]: Simplify (* 1 1) into 1 4.985 * [backup-simplify]: Simplify (/ 1 1) into 1 4.985 * [backup-simplify]: Simplify (+ 0 1) into 1 4.986 * [backup-simplify]: Simplify (sqrt 1) into 1 4.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.988 * [backup-simplify]: Simplify (+ 0 0) into 0 4.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.989 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.989 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.989 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.989 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.989 * [taylor]: Taking taylor expansion of x in x 4.989 * [backup-simplify]: Simplify 0 into 0 4.989 * [backup-simplify]: Simplify 1 into 1 4.989 * [backup-simplify]: Simplify (* 1 1) into 1 4.990 * [backup-simplify]: Simplify (/ 1 1) into 1 4.990 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.990 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.990 * [taylor]: Taking taylor expansion of y in x 4.990 * [backup-simplify]: Simplify y into y 4.990 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.990 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.991 * [backup-simplify]: Simplify (+ 1 0) into 1 4.991 * [backup-simplify]: Simplify (sqrt 1) into 1 4.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.993 * [backup-simplify]: Simplify (+ 0 0) into 0 4.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.993 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.993 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.993 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.993 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.993 * [taylor]: Taking taylor expansion of x in x 4.993 * [backup-simplify]: Simplify 0 into 0 4.993 * [backup-simplify]: Simplify 1 into 1 4.994 * [backup-simplify]: Simplify (* 1 1) into 1 4.994 * [backup-simplify]: Simplify (/ 1 1) into 1 4.994 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.994 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.994 * [taylor]: Taking taylor expansion of y in x 4.994 * [backup-simplify]: Simplify y into y 4.994 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.995 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.995 * [backup-simplify]: Simplify (+ 1 0) into 1 4.995 * [backup-simplify]: Simplify (sqrt 1) into 1 4.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.997 * [backup-simplify]: Simplify (+ 0 0) into 0 4.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.997 * [taylor]: Taking taylor expansion of 1 in y 4.998 * [backup-simplify]: Simplify 1 into 1 4.998 * [taylor]: Taking taylor expansion of 0 in y 4.998 * [backup-simplify]: Simplify 0 into 0 4.998 * [backup-simplify]: Simplify 1 into 1 4.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.999 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.000 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 5.000 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 5.000 * [taylor]: Taking taylor expansion of 1/2 in y 5.000 * [backup-simplify]: Simplify 1/2 into 1/2 5.000 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.000 * [taylor]: Taking taylor expansion of y in y 5.000 * [backup-simplify]: Simplify 0 into 0 5.000 * [backup-simplify]: Simplify 1 into 1 5.001 * [backup-simplify]: Simplify (* 1 1) into 1 5.001 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.002 * [backup-simplify]: Simplify 0 into 0 5.002 * [backup-simplify]: Simplify 0 into 0 5.002 * [backup-simplify]: Simplify 0 into 0 5.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.004 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.004 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.005 * [backup-simplify]: Simplify (+ 0 0) into 0 5.005 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 5.005 * [taylor]: Taking taylor expansion of 0 in y 5.005 * [backup-simplify]: Simplify 0 into 0 5.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.007 * [backup-simplify]: Simplify 0 into 0 5.007 * [backup-simplify]: Simplify 0 into 0 5.007 * [backup-simplify]: Simplify 0 into 0 5.007 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 5.007 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 5.007 * [backup-simplify]: Simplify (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) into (pow (pow (+ (pow x 2) (pow y 2)) 1/4) 3) 5.007 * [approximate]: Taking taylor expansion of (pow (pow (+ (pow x 2) (pow y 2)) 1/4) 3) in (x y) around 0 5.007 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow x 2) (pow y 2)) 1/4) 3) in y 5.007 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in y 5.007 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (pow y 2))))) in y 5.007 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (pow y 2)))) in y 5.007 * [taylor]: Taking taylor expansion of 1/4 in y 5.007 * [backup-simplify]: Simplify 1/4 into 1/4 5.007 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 5.007 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 5.007 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.007 * [taylor]: Taking taylor expansion of x in y 5.007 * [backup-simplify]: Simplify x into x 5.007 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.007 * [taylor]: Taking taylor expansion of y in y 5.008 * [backup-simplify]: Simplify 0 into 0 5.008 * [backup-simplify]: Simplify 1 into 1 5.008 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.008 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 5.008 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 5.008 * [backup-simplify]: Simplify (* 1/4 (log (pow x 2))) into (* 1/4 (log (pow x 2))) 5.008 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow x 2)))) into (pow (pow x 2) 1/4) 5.008 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow x 2) (pow y 2)) 1/4) 3) in x 5.008 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in x 5.008 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (pow y 2))))) in x 5.008 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (pow y 2)))) in x 5.008 * [taylor]: Taking taylor expansion of 1/4 in x 5.008 * [backup-simplify]: Simplify 1/4 into 1/4 5.008 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 5.008 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.008 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.008 * [taylor]: Taking taylor expansion of x in x 5.008 * [backup-simplify]: Simplify 0 into 0 5.008 * [backup-simplify]: Simplify 1 into 1 5.008 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.008 * [taylor]: Taking taylor expansion of y in x 5.008 * [backup-simplify]: Simplify y into y 5.008 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.008 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.009 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 5.009 * [backup-simplify]: Simplify (* 1/4 (log (pow y 2))) into (* 1/4 (log (pow y 2))) 5.009 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow y 2)))) into (pow (pow y 2) 1/4) 5.009 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow x 2) (pow y 2)) 1/4) 3) in x 5.009 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in x 5.009 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (pow y 2))))) in x 5.009 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (pow y 2)))) in x 5.009 * [taylor]: Taking taylor expansion of 1/4 in x 5.009 * [backup-simplify]: Simplify 1/4 into 1/4 5.009 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 5.009 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.009 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.009 * [taylor]: Taking taylor expansion of x in x 5.009 * [backup-simplify]: Simplify 0 into 0 5.009 * [backup-simplify]: Simplify 1 into 1 5.009 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.009 * [taylor]: Taking taylor expansion of y in x 5.009 * [backup-simplify]: Simplify y into y 5.009 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.009 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.009 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 5.009 * [backup-simplify]: Simplify (* 1/4 (log (pow y 2))) into (* 1/4 (log (pow y 2))) 5.009 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow y 2)))) into (pow (pow y 2) 1/4) 5.010 * [backup-simplify]: Simplify (* (pow (pow y 2) 1/4) (pow (pow y 2) 1/4)) into y 5.010 * [backup-simplify]: Simplify (* (pow (pow y 2) 1/4) y) into (sqrt (pow y 3)) 5.010 * [taylor]: Taking taylor expansion of (sqrt (pow y 3)) in y 5.010 * [taylor]: Taking taylor expansion of (pow y 3) in y 5.010 * [taylor]: Taking taylor expansion of y in y 5.010 * [backup-simplify]: Simplify 0 into 0 5.010 * [backup-simplify]: Simplify 1 into 1 5.010 * [backup-simplify]: Simplify (* 1 1) into 1 5.011 * [backup-simplify]: Simplify (* 1 1) into 1 5.011 * [backup-simplify]: Simplify (sqrt 0) into 0 5.012 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.012 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.013 * [backup-simplify]: Simplify (+ 0 0) into 0 5.013 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0 5.014 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (pow y 2)))) into 0 5.014 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 5.015 * [backup-simplify]: Simplify (+ (* (pow (pow y 2) 1/4) 0) (* 0 (pow (pow y 2) 1/4))) into 0 5.015 * [backup-simplify]: Simplify (+ (* (pow (pow y 2) 1/4) 0) (* 0 y)) into 0 5.015 * [taylor]: Taking taylor expansion of 0 in y 5.015 * [backup-simplify]: Simplify 0 into 0 5.015 * [backup-simplify]: Simplify 0 into 0 5.015 * [backup-simplify]: Simplify 0 into 0 5.015 * [backup-simplify]: Simplify (* 1 1) into 1 5.016 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.016 * [backup-simplify]: Simplify (+ 1 0) into 1 5.018 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow y 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow y 2) 1)))) 2) into (/ 1 (pow y 2)) 5.018 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/4 (/ 1 (pow y 2))) 5.019 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow y 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow y 2))) 1) 1)))) into (* 1/4 (sqrt (/ 1 (pow y 3)))) 5.020 * [backup-simplify]: Simplify (+ (* (pow (pow y 2) 1/4) (* 1/4 (sqrt (/ 1 (pow y 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow y 3)))) (pow (pow y 2) 1/4)))) into (* 1/2 (/ 1 y)) 5.021 * [backup-simplify]: Simplify (+ (* (pow (pow y 2) 1/4) (* 1/2 (/ 1 y))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow y 3)))) y))) into (* 3/4 (sqrt (/ 1 y))) 5.021 * [taylor]: Taking taylor expansion of (* 3/4 (sqrt (/ 1 y))) in y 5.021 * [taylor]: Taking taylor expansion of 3/4 in y 5.021 * [backup-simplify]: Simplify 3/4 into 3/4 5.021 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 5.021 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.022 * [taylor]: Taking taylor expansion of y in y 5.022 * [backup-simplify]: Simplify 0 into 0 5.022 * [backup-simplify]: Simplify 1 into 1 5.022 * [backup-simplify]: Simplify (/ 1 1) into 1 5.023 * [backup-simplify]: Simplify (sqrt 0) into 0 5.024 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.026 * [backup-simplify]: Simplify (+ (* 3/4 +nan.0) (* 0 0)) into (- +nan.0) 5.027 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.027 * [backup-simplify]: Simplify 0 into 0 5.027 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.029 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.029 * [backup-simplify]: Simplify (+ 0 0) into 0 5.033 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow y 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow y 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow y 2) 1)))) 6) into 0 5.035 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0 5.038 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow y 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.039 * [backup-simplify]: Simplify (+ (* (pow (pow y 2) 1/4) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow y 3))))) (+ (* (* 1/4 (sqrt (/ 1 (pow y 3)))) 0) (* 0 (pow (pow y 2) 1/4))))) into 0 5.040 * [backup-simplify]: Simplify (+ (* (pow (pow y 2) 1/4) 0) (+ (* 0 (* 1/2 (/ 1 y))) (+ (* (* 1/4 (sqrt (/ 1 (pow y 3)))) 0) (* 0 y)))) into 0 5.040 * [taylor]: Taking taylor expansion of 0 in y 5.040 * [backup-simplify]: Simplify 0 into 0 5.040 * [backup-simplify]: Simplify 0 into 0 5.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.045 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.048 * [backup-simplify]: Simplify (+ (* 3/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 5.048 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.049 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* y (pow x 2))) (+ (* +nan.0 (pow (* y 1) 2)) (* (- +nan.0) (pow (* 1 x) 2)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (* (pow x 2) y)) (- (* +nan.0 (pow y 2))))))) 5.050 * [backup-simplify]: Simplify (pow (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) 3) into (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) 3) 5.050 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) 3) in (x y) around 0 5.050 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) 3) in y 5.050 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in y 5.050 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 5.050 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 5.050 * [taylor]: Taking taylor expansion of 1/4 in y 5.050 * [backup-simplify]: Simplify 1/4 into 1/4 5.050 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.050 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.050 * [taylor]: Taking taylor expansion of x in y 5.050 * [backup-simplify]: Simplify x into x 5.050 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.050 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.050 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.050 * [taylor]: Taking taylor expansion of y in y 5.050 * [backup-simplify]: Simplify 0 into 0 5.050 * [backup-simplify]: Simplify 1 into 1 5.051 * [backup-simplify]: Simplify (* 1 1) into 1 5.051 * [backup-simplify]: Simplify (/ 1 1) into 1 5.051 * [backup-simplify]: Simplify (+ 0 1) into 1 5.052 * [backup-simplify]: Simplify (log 1) into 0 5.052 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 5.052 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log y)))) into (* -1/2 (log y)) 5.052 * [backup-simplify]: Simplify (exp (* -1/2 (log y))) into (pow y -1/2) 5.052 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) 3) in x 5.052 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x 5.052 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 5.052 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 5.052 * [taylor]: Taking taylor expansion of 1/4 in x 5.052 * [backup-simplify]: Simplify 1/4 into 1/4 5.052 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.052 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.052 * [taylor]: Taking taylor expansion of x in x 5.052 * [backup-simplify]: Simplify 0 into 0 5.052 * [backup-simplify]: Simplify 1 into 1 5.053 * [backup-simplify]: Simplify (* 1 1) into 1 5.053 * [backup-simplify]: Simplify (/ 1 1) into 1 5.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.053 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.053 * [taylor]: Taking taylor expansion of y in x 5.053 * [backup-simplify]: Simplify y into y 5.053 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.053 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.054 * [backup-simplify]: Simplify (+ 1 0) into 1 5.054 * [backup-simplify]: Simplify (log 1) into 0 5.054 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 5.054 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x)) 5.055 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 5.055 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) 3) in x 5.055 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x 5.055 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 5.055 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 5.055 * [taylor]: Taking taylor expansion of 1/4 in x 5.055 * [backup-simplify]: Simplify 1/4 into 1/4 5.055 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.055 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.055 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.055 * [taylor]: Taking taylor expansion of x in x 5.055 * [backup-simplify]: Simplify 0 into 0 5.055 * [backup-simplify]: Simplify 1 into 1 5.055 * [backup-simplify]: Simplify (* 1 1) into 1 5.055 * [backup-simplify]: Simplify (/ 1 1) into 1 5.055 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.055 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.055 * [taylor]: Taking taylor expansion of y in x 5.055 * [backup-simplify]: Simplify y into y 5.056 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.056 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.063 * [backup-simplify]: Simplify (+ 1 0) into 1 5.063 * [backup-simplify]: Simplify (log 1) into 0 5.064 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 5.064 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x)) 5.064 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 5.065 * [backup-simplify]: Simplify (* (pow x -1/2) (pow x -1/2)) into (/ 1 x) 5.065 * [backup-simplify]: Simplify (* (pow x -1/2) (/ 1 x)) into (sqrt (/ 1 (pow x 3))) 5.065 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow x 3))) in y 5.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in y 5.065 * [taylor]: Taking taylor expansion of (pow x 3) in y 5.065 * [taylor]: Taking taylor expansion of x in y 5.065 * [backup-simplify]: Simplify x into x 5.065 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.065 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 5.065 * [backup-simplify]: Simplify (/ 1 (pow x 3)) into (/ 1 (pow x 3)) 5.065 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 3))) into (sqrt (/ 1 (pow x 3))) 5.065 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.065 * [backup-simplify]: Simplify (+ (* x 0) (* 0 (pow x 2))) into 0 5.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 3)) (/ 0 (pow x 3))))) into 0 5.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 3))))) into 0 5.066 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 3))) into (sqrt (/ 1 (pow x 3))) 5.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.067 * [backup-simplify]: Simplify (+ 0 0) into 0 5.068 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.069 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 5.069 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log x))))) into 0 5.070 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 5.070 * [backup-simplify]: Simplify (+ (* (pow x -1/2) 0) (* 0 (pow x -1/2))) into 0 5.070 * [backup-simplify]: Simplify (+ (* (pow x -1/2) 0) (* 0 (/ 1 x))) into 0 5.071 * [taylor]: Taking taylor expansion of 0 in y 5.071 * [backup-simplify]: Simplify 0 into 0 5.071 * [backup-simplify]: Simplify 0 into 0 5.071 * [backup-simplify]: Simplify 0 into 0 5.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.072 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.074 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 5.074 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 5.075 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/4 (/ 1 (pow y 2))) 5.076 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow y 2))) 1) 1)))) into (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) 5.077 * [backup-simplify]: Simplify (+ (* (pow x -1/2) (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow y 2))))) (+ (* 0 0) (* (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) (pow x -1/2)))) into (* 1/2 (/ 1 (* x (pow y 2)))) 5.078 * [backup-simplify]: Simplify (+ (* (pow x -1/2) (* 1/2 (/ 1 (* x (pow y 2))))) (+ (* 0 0) (* (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 x)))) into (* 3/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2)))) 5.078 * [taylor]: Taking taylor expansion of (* 3/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2)))) in y 5.078 * [taylor]: Taking taylor expansion of 3/4 in y 5.078 * [backup-simplify]: Simplify 3/4 into 3/4 5.078 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2))) in y 5.078 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow x 3))) in y 5.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in y 5.078 * [taylor]: Taking taylor expansion of (pow x 3) in y 5.078 * [taylor]: Taking taylor expansion of x in y 5.078 * [backup-simplify]: Simplify x into x 5.078 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.078 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 5.078 * [backup-simplify]: Simplify (/ 1 (pow x 3)) into (/ 1 (pow x 3)) 5.078 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 3))) into (sqrt (/ 1 (pow x 3))) 5.078 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.078 * [backup-simplify]: Simplify (+ (* x 0) (* 0 (pow x 2))) into 0 5.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 3)) (/ 0 (pow x 3))))) into 0 5.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 3))))) into 0 5.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.079 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.079 * [taylor]: Taking taylor expansion of y in y 5.079 * [backup-simplify]: Simplify 0 into 0 5.079 * [backup-simplify]: Simplify 1 into 1 5.079 * [backup-simplify]: Simplify (* 1 1) into 1 5.080 * [backup-simplify]: Simplify (/ 1 1) into 1 5.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.084 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 5.085 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 5.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 3)) (/ 0 (pow x 3))) (* 0 (/ 0 (pow x 3))))) into 0 5.086 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (pow x 3))))) into 0 5.088 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (pow x 3))) 0) (+ (* 0 0) (* 0 1))) into 0 5.088 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (pow x 3))) 0) (* 0 1)) into 0 5.089 * [backup-simplify]: Simplify (* (sqrt (/ 1 (pow x 3))) 1) into (sqrt (/ 1 (pow x 3))) 5.090 * [backup-simplify]: Simplify (+ (* 3/4 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (pow x 3)))))) into 0 5.090 * [backup-simplify]: Simplify 0 into 0 5.090 * [backup-simplify]: Simplify 0 into 0 5.091 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 5.092 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 5.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 3)) (/ 0 (pow x 3))) (* 0 (/ 0 (pow x 3))))) into 0 5.093 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (pow x 3))))) into 0 5.094 * [backup-simplify]: Simplify 0 into 0 5.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.096 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.097 * [backup-simplify]: Simplify (+ 0 0) into 0 5.101 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.102 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 5.103 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 5.106 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.107 * [backup-simplify]: Simplify (+ (* (pow x -1/2) 0) (+ (* 0 (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow y 2))))) (+ (* (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) 0) (* 0 (pow x -1/2))))) into 0 5.108 * [backup-simplify]: Simplify (+ (* (pow x -1/2) 0) (+ (* 0 (* 1/2 (/ 1 (* x (pow y 2))))) (+ (* (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) 0) (* 0 (/ 1 x))))) into 0 5.108 * [taylor]: Taking taylor expansion of 0 in y 5.108 * [backup-simplify]: Simplify 0 into 0 5.108 * [backup-simplify]: Simplify 0 into 0 5.108 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (/ 1 x) 3))) into (sqrt (pow x 3)) 5.109 * [backup-simplify]: Simplify (pow (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) 3) into (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) 3) 5.109 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) 3) in (x y) around 0 5.109 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) 3) in y 5.109 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in y 5.109 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 5.109 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 5.109 * [taylor]: Taking taylor expansion of 1/4 in y 5.109 * [backup-simplify]: Simplify 1/4 into 1/4 5.109 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 5.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.109 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.109 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.109 * [taylor]: Taking taylor expansion of x in y 5.109 * [backup-simplify]: Simplify x into x 5.109 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.109 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.110 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.110 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.110 * [taylor]: Taking taylor expansion of y in y 5.110 * [backup-simplify]: Simplify 0 into 0 5.110 * [backup-simplify]: Simplify 1 into 1 5.110 * [backup-simplify]: Simplify (* 1 1) into 1 5.111 * [backup-simplify]: Simplify (/ 1 1) into 1 5.111 * [backup-simplify]: Simplify (+ 0 1) into 1 5.112 * [backup-simplify]: Simplify (log 1) into 0 5.112 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 5.112 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log y)))) into (* -1/2 (log y)) 5.113 * [backup-simplify]: Simplify (exp (* -1/2 (log y))) into (pow y -1/2) 5.113 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) 3) in x 5.113 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x 5.113 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 5.113 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 5.113 * [taylor]: Taking taylor expansion of 1/4 in x 5.113 * [backup-simplify]: Simplify 1/4 into 1/4 5.113 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.113 * [taylor]: Taking taylor expansion of x in x 5.113 * [backup-simplify]: Simplify 0 into 0 5.113 * [backup-simplify]: Simplify 1 into 1 5.113 * [backup-simplify]: Simplify (* 1 1) into 1 5.114 * [backup-simplify]: Simplify (/ 1 1) into 1 5.114 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.114 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.114 * [taylor]: Taking taylor expansion of y in x 5.114 * [backup-simplify]: Simplify y into y 5.114 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.114 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.115 * [backup-simplify]: Simplify (+ 1 0) into 1 5.115 * [backup-simplify]: Simplify (log 1) into 0 5.116 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 5.116 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x)) 5.116 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 5.116 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) 3) in x 5.116 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x 5.116 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 5.116 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 5.116 * [taylor]: Taking taylor expansion of 1/4 in x 5.116 * [backup-simplify]: Simplify 1/4 into 1/4 5.116 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 5.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.116 * [taylor]: Taking taylor expansion of x in x 5.116 * [backup-simplify]: Simplify 0 into 0 5.116 * [backup-simplify]: Simplify 1 into 1 5.117 * [backup-simplify]: Simplify (* 1 1) into 1 5.117 * [backup-simplify]: Simplify (/ 1 1) into 1 5.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.117 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.117 * [taylor]: Taking taylor expansion of y in x 5.117 * [backup-simplify]: Simplify y into y 5.117 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.118 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.118 * [backup-simplify]: Simplify (+ 1 0) into 1 5.118 * [backup-simplify]: Simplify (log 1) into 0 5.119 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 5.119 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x)) 5.119 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 5.120 * [backup-simplify]: Simplify (* (pow x -1/2) (pow x -1/2)) into (/ 1 x) 5.120 * [backup-simplify]: Simplify (* (pow x -1/2) (/ 1 x)) into (sqrt (/ 1 (pow x 3))) 5.120 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow x 3))) in y 5.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in y 5.120 * [taylor]: Taking taylor expansion of (pow x 3) in y 5.120 * [taylor]: Taking taylor expansion of x in y 5.120 * [backup-simplify]: Simplify x into x 5.120 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.120 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 5.120 * [backup-simplify]: Simplify (/ 1 (pow x 3)) into (/ 1 (pow x 3)) 5.120 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 3))) into (sqrt (/ 1 (pow x 3))) 5.121 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.121 * [backup-simplify]: Simplify (+ (* x 0) (* 0 (pow x 2))) into 0 5.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 3)) (/ 0 (pow x 3))))) into 0 5.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 3))))) into 0 5.121 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 3))) into (sqrt (/ 1 (pow x 3))) 5.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.123 * [backup-simplify]: Simplify (+ 0 0) into 0 5.125 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.125 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 5.126 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log x))))) into 0 5.127 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 5.127 * [backup-simplify]: Simplify (+ (* (pow x -1/2) 0) (* 0 (pow x -1/2))) into 0 5.128 * [backup-simplify]: Simplify (+ (* (pow x -1/2) 0) (* 0 (/ 1 x))) into 0 5.128 * [taylor]: Taking taylor expansion of 0 in y 5.128 * [backup-simplify]: Simplify 0 into 0 5.128 * [backup-simplify]: Simplify 0 into 0 5.128 * [backup-simplify]: Simplify 0 into 0 5.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.130 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.133 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 5.133 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 5.134 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/4 (/ 1 (pow y 2))) 5.135 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow y 2))) 1) 1)))) into (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) 5.137 * [backup-simplify]: Simplify (+ (* (pow x -1/2) (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow y 2))))) (+ (* 0 0) (* (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) (pow x -1/2)))) into (* 1/2 (/ 1 (* x (pow y 2)))) 5.138 * [backup-simplify]: Simplify (+ (* (pow x -1/2) (* 1/2 (/ 1 (* x (pow y 2))))) (+ (* 0 0) (* (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) (/ 1 x)))) into (* 3/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2)))) 5.138 * [taylor]: Taking taylor expansion of (* 3/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2)))) in y 5.138 * [taylor]: Taking taylor expansion of 3/4 in y 5.138 * [backup-simplify]: Simplify 3/4 into 3/4 5.138 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2))) in y 5.139 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow x 3))) in y 5.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in y 5.139 * [taylor]: Taking taylor expansion of (pow x 3) in y 5.139 * [taylor]: Taking taylor expansion of x in y 5.139 * [backup-simplify]: Simplify x into x 5.139 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.139 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 5.139 * [backup-simplify]: Simplify (/ 1 (pow x 3)) into (/ 1 (pow x 3)) 5.139 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 3))) into (sqrt (/ 1 (pow x 3))) 5.139 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.139 * [backup-simplify]: Simplify (+ (* x 0) (* 0 (pow x 2))) into 0 5.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 3)) (/ 0 (pow x 3))))) into 0 5.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 3))))) into 0 5.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.140 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.140 * [taylor]: Taking taylor expansion of y in y 5.140 * [backup-simplify]: Simplify 0 into 0 5.140 * [backup-simplify]: Simplify 1 into 1 5.141 * [backup-simplify]: Simplify (* 1 1) into 1 5.141 * [backup-simplify]: Simplify (/ 1 1) into 1 5.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.145 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 5.146 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 5.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 3)) (/ 0 (pow x 3))) (* 0 (/ 0 (pow x 3))))) into 0 5.147 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (pow x 3))))) into 0 5.148 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (pow x 3))) 0) (+ (* 0 0) (* 0 1))) into 0 5.149 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (pow x 3))) 0) (* 0 1)) into 0 5.149 * [backup-simplify]: Simplify (* (sqrt (/ 1 (pow x 3))) 1) into (sqrt (/ 1 (pow x 3))) 5.151 * [backup-simplify]: Simplify (+ (* 3/4 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (pow x 3)))))) into 0 5.151 * [backup-simplify]: Simplify 0 into 0 5.151 * [backup-simplify]: Simplify 0 into 0 5.151 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 5.152 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 5.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 3)) (/ 0 (pow x 3))) (* 0 (/ 0 (pow x 3))))) into 0 5.154 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (pow x 3))))) into 0 5.154 * [backup-simplify]: Simplify 0 into 0 5.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.156 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.157 * [backup-simplify]: Simplify (+ 0 0) into 0 5.161 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.162 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 5.163 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 5.166 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.167 * [backup-simplify]: Simplify (+ (* (pow x -1/2) 0) (+ (* 0 (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow y 2))))) (+ (* (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) 0) (* 0 (pow x -1/2))))) into 0 5.168 * [backup-simplify]: Simplify (+ (* (pow x -1/2) 0) (+ (* 0 (* 1/2 (/ 1 (* x (pow y 2))))) (+ (* (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) 0) (* 0 (/ 1 x))))) into 0 5.168 * [taylor]: Taking taylor expansion of 0 in y 5.168 * [backup-simplify]: Simplify 0 into 0 5.168 * [backup-simplify]: Simplify 0 into 0 5.168 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (/ 1 (- x)) 3))) into (sqrt (* -1 (pow x 3))) 5.168 * * * * [progress]: [ 4 / 4 ] generating series at (2) 5.169 * [backup-simplify]: Simplify (* (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (sqrt (sqrt (+ (* x x) (* y y))))) into (+ (pow x 2) (pow y 2)) 5.169 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 5.169 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 5.169 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.169 * [taylor]: Taking taylor expansion of x in y 5.169 * [backup-simplify]: Simplify x into x 5.169 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.169 * [taylor]: Taking taylor expansion of y in y 5.169 * [backup-simplify]: Simplify 0 into 0 5.169 * [backup-simplify]: Simplify 1 into 1 5.169 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.169 * [taylor]: Taking taylor expansion of x in x 5.169 * [backup-simplify]: Simplify 0 into 0 5.169 * [backup-simplify]: Simplify 1 into 1 5.169 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.169 * [taylor]: Taking taylor expansion of y in x 5.169 * [backup-simplify]: Simplify y into y 5.169 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 5.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.169 * [taylor]: Taking taylor expansion of x in x 5.169 * [backup-simplify]: Simplify 0 into 0 5.169 * [backup-simplify]: Simplify 1 into 1 5.169 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.169 * [taylor]: Taking taylor expansion of y in x 5.169 * [backup-simplify]: Simplify y into y 5.170 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.170 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 5.170 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.170 * [taylor]: Taking taylor expansion of y in y 5.170 * [backup-simplify]: Simplify 0 into 0 5.170 * [backup-simplify]: Simplify 1 into 1 5.170 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.171 * [backup-simplify]: Simplify (+ 0 0) into 0 5.171 * [taylor]: Taking taylor expansion of 0 in y 5.171 * [backup-simplify]: Simplify 0 into 0 5.171 * [backup-simplify]: Simplify 0 into 0 5.171 * [backup-simplify]: Simplify (* 1 1) into 1 5.172 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.172 * [backup-simplify]: Simplify (+ 1 0) into 1 5.172 * [taylor]: Taking taylor expansion of 1 in y 5.172 * [backup-simplify]: Simplify 1 into 1 5.172 * [backup-simplify]: Simplify 1 into 1 5.172 * [backup-simplify]: Simplify 0 into 0 5.173 * [backup-simplify]: Simplify (* 1 1) into 1 5.173 * [backup-simplify]: Simplify 1 into 1 5.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.174 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.175 * [backup-simplify]: Simplify (+ 0 0) into 0 5.175 * [taylor]: Taking taylor expansion of 0 in y 5.175 * [backup-simplify]: Simplify 0 into 0 5.175 * [backup-simplify]: Simplify 0 into 0 5.175 * [backup-simplify]: Simplify 0 into 0 5.175 * [backup-simplify]: Simplify 0 into 0 5.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.176 * [backup-simplify]: Simplify 0 into 0 5.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.178 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 5.178 * [backup-simplify]: Simplify (+ 0 0) into 0 5.178 * [taylor]: Taking taylor expansion of 0 in y 5.178 * [backup-simplify]: Simplify 0 into 0 5.178 * [backup-simplify]: Simplify 0 into 0 5.178 * [backup-simplify]: Simplify 0 into 0 5.179 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 5.179 * [backup-simplify]: Simplify (* (pow (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) 3) (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 5.179 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 5.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.180 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.180 * [taylor]: Taking taylor expansion of x in y 5.180 * [backup-simplify]: Simplify x into x 5.180 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.180 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.180 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.180 * [taylor]: Taking taylor expansion of y in y 5.180 * [backup-simplify]: Simplify 0 into 0 5.180 * [backup-simplify]: Simplify 1 into 1 5.181 * [backup-simplify]: Simplify (* 1 1) into 1 5.181 * [backup-simplify]: Simplify (/ 1 1) into 1 5.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.181 * [taylor]: Taking taylor expansion of x in x 5.181 * [backup-simplify]: Simplify 0 into 0 5.181 * [backup-simplify]: Simplify 1 into 1 5.181 * [backup-simplify]: Simplify (* 1 1) into 1 5.182 * [backup-simplify]: Simplify (/ 1 1) into 1 5.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.182 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.182 * [taylor]: Taking taylor expansion of y in x 5.182 * [backup-simplify]: Simplify y into y 5.182 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.182 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.182 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.182 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.182 * [taylor]: Taking taylor expansion of x in x 5.182 * [backup-simplify]: Simplify 0 into 0 5.182 * [backup-simplify]: Simplify 1 into 1 5.183 * [backup-simplify]: Simplify (* 1 1) into 1 5.183 * [backup-simplify]: Simplify (/ 1 1) into 1 5.183 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.183 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.183 * [taylor]: Taking taylor expansion of y in x 5.183 * [backup-simplify]: Simplify y into y 5.183 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.184 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.184 * [backup-simplify]: Simplify (+ 1 0) into 1 5.184 * [taylor]: Taking taylor expansion of 1 in y 5.184 * [backup-simplify]: Simplify 1 into 1 5.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.185 * [backup-simplify]: Simplify (+ 0 0) into 0 5.185 * [taylor]: Taking taylor expansion of 0 in y 5.185 * [backup-simplify]: Simplify 0 into 0 5.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.187 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.187 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.187 * [taylor]: Taking taylor expansion of y in y 5.187 * [backup-simplify]: Simplify 0 into 0 5.187 * [backup-simplify]: Simplify 1 into 1 5.187 * [backup-simplify]: Simplify (* 1 1) into 1 5.187 * [backup-simplify]: Simplify (/ 1 1) into 1 5.187 * [backup-simplify]: Simplify 1 into 1 5.187 * [backup-simplify]: Simplify 1 into 1 5.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.189 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.189 * [backup-simplify]: Simplify (+ 0 0) into 0 5.189 * [taylor]: Taking taylor expansion of 0 in y 5.189 * [backup-simplify]: Simplify 0 into 0 5.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.190 * [backup-simplify]: Simplify 0 into 0 5.190 * [backup-simplify]: Simplify 0 into 0 5.190 * [backup-simplify]: Simplify 0 into 0 5.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.192 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 5.192 * [backup-simplify]: Simplify (+ 0 0) into 0 5.192 * [taylor]: Taking taylor expansion of 0 in y 5.192 * [backup-simplify]: Simplify 0 into 0 5.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.193 * [backup-simplify]: Simplify 0 into 0 5.194 * [backup-simplify]: Simplify 0 into 0 5.194 * [backup-simplify]: Simplify 0 into 0 5.194 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 5.194 * [backup-simplify]: Simplify (* (pow (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) 3) (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 5.194 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 5.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 5.194 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.194 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.194 * [taylor]: Taking taylor expansion of x in y 5.194 * [backup-simplify]: Simplify x into x 5.195 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.195 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.195 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.195 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.195 * [taylor]: Taking taylor expansion of y in y 5.195 * [backup-simplify]: Simplify 0 into 0 5.195 * [backup-simplify]: Simplify 1 into 1 5.195 * [backup-simplify]: Simplify (* 1 1) into 1 5.195 * [backup-simplify]: Simplify (/ 1 1) into 1 5.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.195 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.195 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.195 * [taylor]: Taking taylor expansion of x in x 5.195 * [backup-simplify]: Simplify 0 into 0 5.195 * [backup-simplify]: Simplify 1 into 1 5.196 * [backup-simplify]: Simplify (* 1 1) into 1 5.196 * [backup-simplify]: Simplify (/ 1 1) into 1 5.196 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.196 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.196 * [taylor]: Taking taylor expansion of y in x 5.196 * [backup-simplify]: Simplify y into y 5.196 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.196 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 5.196 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.196 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.196 * [taylor]: Taking taylor expansion of x in x 5.196 * [backup-simplify]: Simplify 0 into 0 5.196 * [backup-simplify]: Simplify 1 into 1 5.196 * [backup-simplify]: Simplify (* 1 1) into 1 5.197 * [backup-simplify]: Simplify (/ 1 1) into 1 5.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.197 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.197 * [taylor]: Taking taylor expansion of y in x 5.197 * [backup-simplify]: Simplify y into y 5.197 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.197 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.197 * [backup-simplify]: Simplify (+ 1 0) into 1 5.197 * [taylor]: Taking taylor expansion of 1 in y 5.197 * [backup-simplify]: Simplify 1 into 1 5.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.198 * [backup-simplify]: Simplify (+ 0 0) into 0 5.198 * [taylor]: Taking taylor expansion of 0 in y 5.199 * [backup-simplify]: Simplify 0 into 0 5.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.200 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 5.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.200 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.200 * [taylor]: Taking taylor expansion of y in y 5.200 * [backup-simplify]: Simplify 0 into 0 5.200 * [backup-simplify]: Simplify 1 into 1 5.200 * [backup-simplify]: Simplify (* 1 1) into 1 5.200 * [backup-simplify]: Simplify (/ 1 1) into 1 5.200 * [backup-simplify]: Simplify 1 into 1 5.200 * [backup-simplify]: Simplify 1 into 1 5.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.202 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.202 * [backup-simplify]: Simplify (+ 0 0) into 0 5.202 * [taylor]: Taking taylor expansion of 0 in y 5.203 * [backup-simplify]: Simplify 0 into 0 5.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.203 * [backup-simplify]: Simplify 0 into 0 5.203 * [backup-simplify]: Simplify 0 into 0 5.203 * [backup-simplify]: Simplify 0 into 0 5.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.205 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 5.206 * [backup-simplify]: Simplify (+ 0 0) into 0 5.206 * [taylor]: Taking taylor expansion of 0 in y 5.206 * [backup-simplify]: Simplify 0 into 0 5.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.207 * [backup-simplify]: Simplify 0 into 0 5.207 * [backup-simplify]: Simplify 0 into 0 5.207 * [backup-simplify]: Simplify 0 into 0 5.207 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 5.207 * * * [progress]: simplifying candidates 5.210 * [simplify]: Simplifying: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (* (log (sqrt (sqrt (+ (* x x) (* y y))))) 3) (* (log (sqrt (sqrt (+ (* x x) (* y y))))) 3) (* 1/2 3) (* 1 3) (* (/ 1/2 2) 3) (* (/ 1 2) 3) (* (/ (/ 1 2) 2) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 3)) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 1) (pow (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) 3) (pow (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (pow (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) 3) (pow (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) 3) (pow (sqrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) 3) (pow (sqrt (sqrt (cbrt (+ (* x x) (* y y))))) 3) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (pow 1 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (log (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (exp (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (* (cbrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3))) (cbrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (* (* (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) 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[regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x) 6.755 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 6.769 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 6.786 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # #) 6.802 * * * * [regimes]: Trying to branch on y from (# # #) 6.818 * * * * [regimes]: Trying to branch on x from (# # #) 6.836 * * * [regime]: Found split indices: #