87.658 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.034 * * * [progress]: [2/2] Setting up program. 0.038 * [progress]: [Phase 2 of 3] Improving. 0.039 * [simplify]: Simplifying: (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.039 * [simplify]: Sending expressions to egg_math: (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) 0.063 * * [progress]: iteration 1 / 4 0.063 * * * [progress]: picking best candidate 0.065 * * * * [pick]: Picked # 0.065 * * * [progress]: localizing error 0.075 * * * [progress]: generating rewritten candidates 0.075 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.122 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.139 * * * [progress]: generating series expansions 0.139 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.139 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) 0.139 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.139 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.139 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.139 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.139 * [taylor]: Taking taylor expansion of x in z 0.139 * [backup-simplify]: Simplify x into x 0.139 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.139 * [taylor]: Taking taylor expansion of y in z 0.139 * [backup-simplify]: Simplify y into y 0.139 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.139 * [taylor]: Taking taylor expansion of z in z 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.140 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.140 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.140 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 0.140 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 0.140 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.140 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 0.142 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.142 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.142 * [taylor]: Taking taylor expansion of x in y 0.142 * [backup-simplify]: Simplify x into x 0.142 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.142 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.142 * [taylor]: Taking taylor expansion of z in y 0.142 * [backup-simplify]: Simplify z into z 0.142 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.142 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.143 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.143 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2)) 0.143 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2))) 0.143 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.143 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0 0.144 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.144 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.145 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.145 * [taylor]: Taking taylor expansion of y in x 0.145 * [backup-simplify]: Simplify y into y 0.145 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.145 * [taylor]: Taking taylor expansion of z in x 0.145 * [backup-simplify]: Simplify z into z 0.145 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.145 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.145 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.145 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 0.146 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.146 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.146 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.147 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.147 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.147 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.147 * [taylor]: Taking taylor expansion of y in x 0.147 * [backup-simplify]: Simplify y into y 0.147 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.147 * [taylor]: Taking taylor expansion of z in x 0.147 * [backup-simplify]: Simplify z into z 0.147 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.147 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.148 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.148 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 0.148 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.148 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.148 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.150 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.150 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 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 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.150 * [taylor]: Taking taylor expansion of z in y 0.150 * [backup-simplify]: Simplify z into z 0.150 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.150 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.150 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z 0.150 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0 0.151 * [taylor]: Taking taylor expansion of z in z 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [taylor]: Taking taylor expansion of 0 in y 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [taylor]: Taking taylor expansion of 0 in z 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [taylor]: Taking taylor expansion of 0 in z 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (* 1 1) into 1 0.152 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.153 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.153 * [backup-simplify]: Simplify (+ 1 0) into 1 0.154 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) 0.154 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.154 * [taylor]: Taking taylor expansion of 1/2 in y 0.154 * [backup-simplify]: Simplify 1/2 into 1/2 0.155 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.155 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.155 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.155 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.155 * [taylor]: Taking taylor expansion of y in y 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.155 * [taylor]: Taking taylor expansion of z in y 0.155 * [backup-simplify]: Simplify z into z 0.155 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.155 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.155 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.155 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z) 0.155 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0 0.156 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z) 0.156 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.156 * [taylor]: Taking taylor expansion of 1/2 in z 0.156 * [backup-simplify]: Simplify 1/2 into 1/2 0.156 * [taylor]: Taking taylor expansion of z in z 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [taylor]: Taking taylor expansion of 0 in z 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify (* 1 1) into 1 0.159 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.159 * [backup-simplify]: Simplify (+ 1 0) into 1 0.160 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z) 0.160 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.160 * [taylor]: Taking taylor expansion of 1/2 in z 0.160 * [backup-simplify]: Simplify 1/2 into 1/2 0.160 * [taylor]: Taking taylor expansion of z in z 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z 0.162 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) 0.162 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.162 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.163 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.163 * [taylor]: Taking taylor expansion of x in z 0.163 * [backup-simplify]: Simplify x into x 0.163 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.163 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.163 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.163 * [taylor]: Taking taylor expansion of z in z 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (* 1 1) into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.164 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.164 * [taylor]: Taking taylor expansion of y in z 0.164 * [backup-simplify]: Simplify y into y 0.164 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.164 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.164 * [backup-simplify]: Simplify (+ 1 0) into 1 0.165 * [backup-simplify]: Simplify (+ 0 1) into 1 0.165 * [backup-simplify]: Simplify (sqrt 1) into 1 0.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.168 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.168 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.168 * [taylor]: Taking taylor expansion of x in y 0.168 * [backup-simplify]: Simplify x into x 0.168 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.169 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.169 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.169 * [taylor]: Taking taylor expansion of z in y 0.169 * [backup-simplify]: Simplify z into z 0.169 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.169 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.169 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.169 * [taylor]: Taking taylor expansion of y in y 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (* 1 1) into 1 0.170 * [backup-simplify]: Simplify (/ 1 1) into 1 0.170 * [backup-simplify]: Simplify (+ 0 1) into 1 0.171 * [backup-simplify]: Simplify (+ 0 1) into 1 0.171 * [backup-simplify]: Simplify (sqrt 1) into 1 0.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.174 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (* 1 1) into 1 0.175 * [backup-simplify]: Simplify (/ 1 1) into 1 0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.175 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.175 * [taylor]: Taking taylor expansion of z in x 0.175 * [backup-simplify]: Simplify z into z 0.175 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.175 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.175 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.175 * [taylor]: Taking taylor expansion of y in x 0.175 * [backup-simplify]: Simplify y into y 0.175 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.176 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.176 * [backup-simplify]: Simplify (+ 1 0) into 1 0.176 * [backup-simplify]: Simplify (sqrt 1) into 1 0.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.179 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.179 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (* 1 1) into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.180 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.180 * [taylor]: Taking taylor expansion of z in x 0.180 * [backup-simplify]: Simplify z into z 0.180 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.180 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.180 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.180 * [taylor]: Taking taylor expansion of y in x 0.180 * [backup-simplify]: Simplify y into y 0.180 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.180 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.181 * [backup-simplify]: Simplify (+ 1 0) into 1 0.181 * [backup-simplify]: Simplify (sqrt 1) into 1 0.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.183 * [backup-simplify]: Simplify (+ 0 0) into 0 0.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.184 * [taylor]: Taking taylor expansion of 1 in y 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [taylor]: Taking taylor expansion of 0 in y 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [taylor]: Taking taylor expansion of 1 in z 0.184 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.187 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.188 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0.188 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.188 * [taylor]: Taking taylor expansion of 1/2 in y 0.188 * [backup-simplify]: Simplify 1/2 into 1/2 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.188 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.188 * [taylor]: Taking taylor expansion of z in y 0.188 * [backup-simplify]: Simplify z into z 0.188 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.189 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.189 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.189 * [taylor]: Taking taylor expansion of y in y 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (* 1 1) into 1 0.189 * [backup-simplify]: Simplify (/ 1 1) into 1 0.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (+ 0 0) into 0 0.192 * [backup-simplify]: Simplify (+ 0 1) into 1 0.192 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.192 * [taylor]: Taking taylor expansion of 0 in z 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [taylor]: Taking taylor expansion of 0 in z 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [taylor]: Taking taylor expansion of 0 in z 0.192 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.195 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 0.197 * [taylor]: Taking taylor expansion of 0 in y 0.197 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.200 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 0.200 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.200 * [taylor]: Taking taylor expansion of 1/2 in z 0.200 * [backup-simplify]: Simplify 1/2 into 1/2 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.200 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.200 * [taylor]: Taking taylor expansion of z in z 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (* 1 1) into 1 0.201 * [backup-simplify]: Simplify (/ 1 1) into 1 0.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [taylor]: Taking taylor expansion of 0 in z 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [taylor]: Taking taylor expansion of 0 in z 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.206 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.207 * [backup-simplify]: Simplify (+ 0 0) into 0 0.207 * [backup-simplify]: Simplify (+ 0 0) into 0 0.209 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) 0.209 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 0.209 * [taylor]: Taking taylor expansion of -1/2 in y 0.209 * [backup-simplify]: Simplify -1/2 into -1/2 0.209 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 0.209 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.209 * [taylor]: Taking taylor expansion of 1/4 in y 0.209 * [backup-simplify]: Simplify 1/4 into 1/4 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.209 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.209 * [taylor]: Taking taylor expansion of z in y 0.209 * [backup-simplify]: Simplify z into z 0.209 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.209 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 0.210 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 0.210 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.210 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.210 * [taylor]: Taking taylor expansion of 1/2 in y 0.210 * [backup-simplify]: Simplify 1/2 into 1/2 0.210 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.210 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.210 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.210 * [taylor]: Taking taylor expansion of z in y 0.210 * [backup-simplify]: Simplify z into z 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.210 * [backup-simplify]: Simplify (* 1 1) into 1 0.210 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.211 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.211 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.211 * [taylor]: Taking taylor expansion of 1/4 in y 0.211 * [backup-simplify]: Simplify 1/4 into 1/4 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.211 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (* 1 1) into 1 0.212 * [backup-simplify]: Simplify (* 1 1) into 1 0.212 * [backup-simplify]: Simplify (/ 1 1) into 1 0.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.213 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.213 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.214 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 0.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (+ 0 0) into 0 0.224 * [backup-simplify]: Simplify (+ 0 0) into 0 0.224 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 0.225 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.225 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 0.225 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 0.226 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.227 * [backup-simplify]: Simplify (+ 0 0) into 0 0.227 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.227 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.227 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.228 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.228 * [taylor]: Taking taylor expansion of 0 in z 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [taylor]: Taking taylor expansion of 0 in z 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.232 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 0.232 * [taylor]: Taking taylor expansion of 0 in z 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [taylor]: Taking taylor expansion of 0 in z 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [taylor]: Taking taylor expansion of 0 in z 0.232 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x 0.235 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) 0.235 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.235 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.235 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.235 * [taylor]: Taking taylor expansion of x in z 0.235 * [backup-simplify]: Simplify x into x 0.235 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.235 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.235 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.236 * [taylor]: Taking taylor expansion of z in z 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (* 1 1) into 1 0.236 * [backup-simplify]: Simplify (/ 1 1) into 1 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.236 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.236 * [taylor]: Taking taylor expansion of y in z 0.236 * [backup-simplify]: Simplify y into y 0.236 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.236 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.237 * [backup-simplify]: Simplify (+ 1 0) into 1 0.237 * [backup-simplify]: Simplify (+ 0 1) into 1 0.237 * [backup-simplify]: Simplify (sqrt 1) into 1 0.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.239 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.239 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.239 * [taylor]: Taking taylor expansion of x in y 0.239 * [backup-simplify]: Simplify x into x 0.239 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.239 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.239 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.239 * [taylor]: Taking taylor expansion of z in y 0.239 * [backup-simplify]: Simplify z into z 0.239 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.239 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.239 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify (* 1 1) into 1 0.240 * [backup-simplify]: Simplify (/ 1 1) into 1 0.240 * [backup-simplify]: Simplify (+ 0 1) into 1 0.240 * [backup-simplify]: Simplify (+ 0 1) into 1 0.241 * [backup-simplify]: Simplify (sqrt 1) into 1 0.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.242 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.243 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (* 1 1) into 1 0.243 * [backup-simplify]: Simplify (/ 1 1) into 1 0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.243 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.243 * [taylor]: Taking taylor expansion of z in x 0.243 * [backup-simplify]: Simplify z into z 0.243 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.244 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.244 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [backup-simplify]: Simplify y into y 0.244 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.244 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.244 * [backup-simplify]: Simplify (+ 1 0) into 1 0.245 * [backup-simplify]: Simplify (sqrt 1) into 1 0.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.247 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify (* 1 1) into 1 0.248 * [backup-simplify]: Simplify (/ 1 1) into 1 0.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.248 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.248 * [taylor]: Taking taylor expansion of z in x 0.248 * [backup-simplify]: Simplify z into z 0.248 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.248 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.248 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.248 * [taylor]: Taking taylor expansion of y in x 0.248 * [backup-simplify]: Simplify y into y 0.248 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.248 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.249 * [backup-simplify]: Simplify (+ 1 0) into 1 0.249 * [backup-simplify]: Simplify (sqrt 1) into 1 0.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (+ 0 0) into 0 0.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.252 * [taylor]: Taking taylor expansion of 1 in y 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [taylor]: Taking taylor expansion of 0 in y 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [taylor]: Taking taylor expansion of 1 in z 0.252 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.254 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.255 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0.255 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.255 * [taylor]: Taking taylor expansion of 1/2 in y 0.255 * [backup-simplify]: Simplify 1/2 into 1/2 0.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.256 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.256 * [taylor]: Taking taylor expansion of z in y 0.256 * [backup-simplify]: Simplify z into z 0.256 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.256 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.256 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.256 * [taylor]: Taking taylor expansion of y in y 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (* 1 1) into 1 0.261 * [backup-simplify]: Simplify (/ 1 1) into 1 0.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.263 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [backup-simplify]: Simplify (+ 0 1) into 1 0.264 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.264 * [taylor]: Taking taylor expansion of 0 in z 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [taylor]: Taking taylor expansion of 0 in z 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [taylor]: Taking taylor expansion of 0 in z 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.266 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.267 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 0.268 * [taylor]: Taking taylor expansion of 0 in y 0.268 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.271 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 0.271 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.271 * [taylor]: Taking taylor expansion of 1/2 in z 0.271 * [backup-simplify]: Simplify 1/2 into 1/2 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.271 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.271 * [taylor]: Taking taylor expansion of z in z 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (* 1 1) into 1 0.271 * [backup-simplify]: Simplify (/ 1 1) into 1 0.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [taylor]: Taking taylor expansion of 0 in z 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [taylor]: Taking taylor expansion of 0 in z 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.277 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.277 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [backup-simplify]: Simplify (+ 0 0) into 0 0.279 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) 0.279 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 0.280 * [taylor]: Taking taylor expansion of -1/2 in y 0.280 * [backup-simplify]: Simplify -1/2 into -1/2 0.280 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 0.280 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.280 * [taylor]: Taking taylor expansion of 1/4 in y 0.280 * [backup-simplify]: Simplify 1/4 into 1/4 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.280 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.280 * [taylor]: Taking taylor expansion of z in y 0.280 * [backup-simplify]: Simplify z into z 0.280 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.280 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 0.280 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 0.280 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.280 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.280 * [taylor]: Taking taylor expansion of 1/2 in y 0.280 * [backup-simplify]: Simplify 1/2 into 1/2 0.280 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.280 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.280 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.280 * [taylor]: Taking taylor expansion of z in y 0.280 * [backup-simplify]: Simplify z into z 0.280 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.281 * [backup-simplify]: Simplify (* 1 1) into 1 0.281 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.281 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.281 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.281 * [taylor]: Taking taylor expansion of 1/4 in y 0.281 * [backup-simplify]: Simplify 1/4 into 1/4 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.281 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.281 * [taylor]: Taking taylor expansion of y in y 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (* 1 1) into 1 0.282 * [backup-simplify]: Simplify (* 1 1) into 1 0.282 * [backup-simplify]: Simplify (/ 1 1) into 1 0.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.283 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.284 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.284 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 0.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (+ 0 0) into 0 0.293 * [backup-simplify]: Simplify (+ 0 0) into 0 0.293 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 0.295 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.295 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 0.295 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 0.296 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.297 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.297 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.299 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.299 * [taylor]: Taking taylor expansion of 0 in z 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [taylor]: Taking taylor expansion of 0 in z 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.302 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 0.302 * [taylor]: Taking taylor expansion of 0 in z 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [taylor]: Taking taylor expansion of 0 in z 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [taylor]: Taking taylor expansion of 0 in z 0.302 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x) 0.305 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.305 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 0.305 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.305 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.306 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.306 * [taylor]: Taking taylor expansion of x in y 0.306 * [backup-simplify]: Simplify x into x 0.306 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.306 * [taylor]: Taking taylor expansion of y in y 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.306 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.306 * [taylor]: Taking taylor expansion of y in x 0.306 * [backup-simplify]: Simplify y into y 0.306 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.306 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.306 * [taylor]: Taking taylor expansion of y in x 0.306 * [backup-simplify]: Simplify y into y 0.306 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.306 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.306 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.306 * [taylor]: Taking taylor expansion of y in y 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.307 * [backup-simplify]: Simplify (+ 0 0) into 0 0.307 * [taylor]: Taking taylor expansion of 0 in y 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (* 1 1) into 1 0.308 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.308 * [backup-simplify]: Simplify (+ 1 0) into 1 0.308 * [taylor]: Taking taylor expansion of 1 in y 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify (* 1 1) into 1 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.310 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.310 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [taylor]: Taking taylor expansion of 0 in y 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.313 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.314 * [backup-simplify]: Simplify (+ 0 0) into 0 0.314 * [taylor]: Taking taylor expansion of 0 in y 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.314 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.315 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.315 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.315 * [taylor]: Taking taylor expansion of x in y 0.315 * [backup-simplify]: Simplify x into x 0.315 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.315 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.315 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.315 * [taylor]: Taking taylor expansion of y in y 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (* 1 1) into 1 0.316 * [backup-simplify]: Simplify (/ 1 1) into 1 0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (* 1 1) into 1 0.317 * [backup-simplify]: Simplify (/ 1 1) into 1 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.317 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.317 * [taylor]: Taking taylor expansion of y in x 0.317 * [backup-simplify]: Simplify y into y 0.317 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.317 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.317 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify (* 1 1) into 1 0.318 * [backup-simplify]: Simplify (/ 1 1) into 1 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.318 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.318 * [taylor]: Taking taylor expansion of y in x 0.318 * [backup-simplify]: Simplify y into y 0.318 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.318 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.318 * [backup-simplify]: Simplify (+ 1 0) into 1 0.319 * [taylor]: Taking taylor expansion of 1 in y 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [taylor]: Taking taylor expansion of 0 in y 0.320 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.322 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.322 * [taylor]: Taking taylor expansion of y in y 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (* 1 1) into 1 0.323 * [backup-simplify]: Simplify (/ 1 1) into 1 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.325 * [backup-simplify]: Simplify (+ 0 0) into 0 0.325 * [taylor]: Taking taylor expansion of 0 in y 0.325 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.330 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [taylor]: Taking taylor expansion of 0 in y 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.332 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.332 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.332 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.332 * [taylor]: Taking taylor expansion of x in y 0.332 * [backup-simplify]: Simplify x into x 0.332 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.332 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (* 1 1) into 1 0.333 * [backup-simplify]: Simplify (/ 1 1) into 1 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.333 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (* 1 1) into 1 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.334 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.334 * [taylor]: Taking taylor expansion of y in x 0.334 * [backup-simplify]: Simplify y into y 0.334 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.334 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.334 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (* 1 1) into 1 0.335 * [backup-simplify]: Simplify (/ 1 1) into 1 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.335 * [taylor]: Taking taylor expansion of y in x 0.335 * [backup-simplify]: Simplify y into y 0.335 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.335 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.336 * [backup-simplify]: Simplify (+ 1 0) into 1 0.336 * [taylor]: Taking taylor expansion of 1 in y 0.336 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.338 * [taylor]: Taking taylor expansion of 0 in y 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify (* 1 1) into 1 0.340 * [backup-simplify]: Simplify (/ 1 1) into 1 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.348 * [backup-simplify]: Simplify (+ 0 0) into 0 0.348 * [taylor]: Taking taylor expansion of 0 in y 0.348 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.350 * * * [progress]: simplifying candidates 0.351 * [simplify]: Simplifying: (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (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)) z x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.351 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (exp (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (* (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))) (cbrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (* (* (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (* (cbrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (cbrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))))) (sqrt (cbrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt 1) (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (sqrt (+ (pow (+ (* h2 h2) (* h1 h1)) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (+ (* h2 h2) (* h1 h1)) (+ (* h2 h2) (* h1 h1))) (- (* (* h0 h0) (* h0 h0)) (* (+ (* h2 h2) (* h1 h1)) (* h0 h0))))) (sqrt (- (* (+ (* h2 h2) (* h1 h1)) (+ (* h2 h2) (* h1 h1))) (* (* h0 h0) (* h0 h0)))) (sqrt (- (+ (* h2 h2) (* h1 h1)) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (sqrt (sqrt (+ (+ (* h2 h2) (* h1 h1)) (* h0 h0)))) (* (exp (* h2 h2)) (exp (* h1 h1))) (log (+ (* h2 h2) (* h1 h1))) (exp (+ (* h2 h2) (* h1 h1))) (* (cbrt (+ (* h2 h2) (* h1 h1))) (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (+ (* h2 h2) (* h1 h1))) (* (* (+ (* h2 h2) (* h1 h1)) (+ (* h2 h2) (* h1 h1))) (+ (* h2 h2) (* h1 h1))) (sqrt (+ (* h2 h2) (* h1 h1))) (sqrt (+ (* h2 h2) (* h1 h1))) (+ (pow (* h2 h2) 3) (pow (* h1 h1) 3)) (+ (* (* h2 h2) (* h2 h2)) (- (* (* h1 h1) (* h1 h1)) (* (* h2 h2) (* h1 h1)))) (- (* (* h2 h2) (* h2 h2)) (* (* h1 h1) (* h1 h1))) (- (* h2 h2) (* h1 h1)) h0 h2 (* -1 h2) (+ (pow h2 2) (pow h1 2)) (+ (pow h2 2) (pow h1 2)) (+ (pow h2 2) (pow h1 2)) 1.414 * * * [progress]: adding candidates to table 1.524 * * [progress]: iteration 2 / 4 1.524 * * * [progress]: picking best candidate 1.529 * * * * [pick]: Picked # 1.529 * * * [progress]: localizing error 1.545 * * * [progress]: generating rewritten candidates 1.545 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.692 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 1.701 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2) 1.709 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 1.719 * * * [progress]: generating series expansions 1.719 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.720 * [backup-simplify]: Simplify (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) 1.720 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 1.720 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 1.720 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 1.720 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.720 * [taylor]: Taking taylor expansion of x in z 1.720 * [backup-simplify]: Simplify x into x 1.720 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 1.720 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.720 * [taylor]: Taking taylor expansion of y in z 1.720 * [backup-simplify]: Simplify y into y 1.720 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.720 * [taylor]: Taking taylor expansion of z in z 1.720 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify 1 into 1 1.720 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.720 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.720 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.721 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 1.721 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 1.721 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.721 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.722 * [backup-simplify]: Simplify (+ 0 0) into 0 1.722 * [backup-simplify]: Simplify (+ 0 0) into 0 1.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 1.723 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 1.723 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 1.723 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.723 * [taylor]: Taking taylor expansion of x in y 1.723 * [backup-simplify]: Simplify x into x 1.723 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.723 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.723 * [taylor]: Taking taylor expansion of y in y 1.723 * [backup-simplify]: Simplify 0 into 0 1.723 * [backup-simplify]: Simplify 1 into 1 1.723 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.723 * [taylor]: Taking taylor expansion of z in y 1.723 * [backup-simplify]: Simplify z into z 1.723 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.723 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.723 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 1.724 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2)) 1.724 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2))) 1.724 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.724 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.725 * [backup-simplify]: Simplify (+ 0 0) into 0 1.725 * [backup-simplify]: Simplify (+ 0 0) into 0 1.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0 1.725 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 1.725 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 1.726 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.726 * [taylor]: Taking taylor expansion of x in x 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify 1 into 1 1.726 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 1.726 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.726 * [taylor]: Taking taylor expansion of y in x 1.726 * [backup-simplify]: Simplify y into y 1.726 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.726 * [taylor]: Taking taylor expansion of z in x 1.726 * [backup-simplify]: Simplify z into z 1.726 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.726 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.726 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 1.726 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 1.727 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 1.727 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.727 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.727 * [backup-simplify]: Simplify (+ 0 0) into 0 1.728 * [backup-simplify]: Simplify (+ 0 0) into 0 1.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 1.728 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 1.728 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 1.728 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.728 * [taylor]: Taking taylor expansion of x in x 1.728 * [backup-simplify]: Simplify 0 into 0 1.728 * [backup-simplify]: Simplify 1 into 1 1.728 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 1.728 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.728 * [taylor]: Taking taylor expansion of y in x 1.728 * [backup-simplify]: Simplify y into y 1.729 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.729 * [taylor]: Taking taylor expansion of z in x 1.729 * [backup-simplify]: Simplify z into z 1.729 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.729 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.729 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 1.729 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 1.729 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 1.730 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.730 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.730 * [backup-simplify]: Simplify (+ 0 0) into 0 1.730 * [backup-simplify]: Simplify (+ 0 0) into 0 1.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 1.731 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 1.731 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.731 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.731 * [taylor]: Taking taylor expansion of y in y 1.731 * [backup-simplify]: Simplify 0 into 0 1.731 * [backup-simplify]: Simplify 1 into 1 1.731 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.731 * [taylor]: Taking taylor expansion of z in y 1.731 * [backup-simplify]: Simplify z into z 1.731 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.731 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 1.731 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z 1.732 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.732 * [backup-simplify]: Simplify (+ 0 0) into 0 1.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0 1.732 * [taylor]: Taking taylor expansion of z in z 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify 1 into 1 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [taylor]: Taking taylor expansion of 0 in y 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [taylor]: Taking taylor expansion of 0 in z 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [taylor]: Taking taylor expansion of 0 in z 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify 0 into 0 1.733 * [backup-simplify]: Simplify 1 into 1 1.733 * [backup-simplify]: Simplify (* 1 1) into 1 1.733 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.734 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 1.734 * [backup-simplify]: Simplify (+ 0 0) into 0 1.735 * [backup-simplify]: Simplify (+ 1 0) into 1 1.736 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) 1.736 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 1.736 * [taylor]: Taking taylor expansion of 1/2 in y 1.736 * [backup-simplify]: Simplify 1/2 into 1/2 1.736 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 1.736 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 1.736 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.736 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.736 * [taylor]: Taking taylor expansion of y in y 1.736 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify 1 into 1 1.736 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.736 * [taylor]: Taking taylor expansion of z in y 1.736 * [backup-simplify]: Simplify z into z 1.736 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.737 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 1.737 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.737 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z) 1.737 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.738 * [backup-simplify]: Simplify (+ 0 0) into 0 1.739 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0 1.739 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z) 1.739 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.739 * [taylor]: Taking taylor expansion of 1/2 in z 1.739 * [backup-simplify]: Simplify 1/2 into 1/2 1.739 * [taylor]: Taking taylor expansion of z in z 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify 1 into 1 1.740 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.741 * [backup-simplify]: Simplify 0 into 0 1.741 * [taylor]: Taking taylor expansion of 0 in z 1.741 * [backup-simplify]: Simplify 0 into 0 1.741 * [backup-simplify]: Simplify 0 into 0 1.742 * [backup-simplify]: Simplify (* 1 1) into 1 1.742 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 1.743 * [backup-simplify]: Simplify (+ 1 0) into 1 1.743 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z) 1.743 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.743 * [taylor]: Taking taylor expansion of 1/2 in z 1.743 * [backup-simplify]: Simplify 1/2 into 1/2 1.743 * [taylor]: Taking taylor expansion of z in z 1.743 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify 1 into 1 1.744 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z 1.749 * [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))))) (* (/ 1 z) (/ 1 z)))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) 1.749 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 1.749 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.749 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 1.749 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.750 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.750 * [taylor]: Taking taylor expansion of x in z 1.750 * [backup-simplify]: Simplify x into x 1.750 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.750 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.750 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 1.750 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.750 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.750 * [taylor]: Taking taylor expansion of z in z 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify 1 into 1 1.751 * [backup-simplify]: Simplify (* 1 1) into 1 1.751 * [backup-simplify]: Simplify (/ 1 1) into 1 1.751 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.751 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.751 * [taylor]: Taking taylor expansion of y in z 1.751 * [backup-simplify]: Simplify y into y 1.751 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.751 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.752 * [backup-simplify]: Simplify (+ 1 0) into 1 1.752 * [backup-simplify]: Simplify (+ 0 1) into 1 1.752 * [backup-simplify]: Simplify (sqrt 1) into 1 1.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.754 * [backup-simplify]: Simplify (+ 0 0) into 0 1.754 * [backup-simplify]: Simplify (+ 0 0) into 0 1.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.755 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.755 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.755 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.755 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.755 * [taylor]: Taking taylor expansion of x in y 1.755 * [backup-simplify]: Simplify x into x 1.755 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.756 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.756 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.756 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.756 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.756 * [taylor]: Taking taylor expansion of z in y 1.756 * [backup-simplify]: Simplify z into z 1.756 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.756 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.756 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.756 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.756 * [taylor]: Taking taylor expansion of y in y 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify 1 into 1 1.756 * [backup-simplify]: Simplify (* 1 1) into 1 1.757 * [backup-simplify]: Simplify (/ 1 1) into 1 1.757 * [backup-simplify]: Simplify (+ 0 1) into 1 1.758 * [backup-simplify]: Simplify (+ 0 1) into 1 1.758 * [backup-simplify]: Simplify (sqrt 1) into 1 1.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.759 * [backup-simplify]: Simplify (+ 0 0) into 0 1.760 * [backup-simplify]: Simplify (+ 0 0) into 0 1.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.761 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.761 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.761 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.761 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.761 * [taylor]: Taking taylor expansion of x in x 1.761 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify 1 into 1 1.761 * [backup-simplify]: Simplify (* 1 1) into 1 1.761 * [backup-simplify]: Simplify (/ 1 1) into 1 1.761 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.761 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.762 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.762 * [taylor]: Taking taylor expansion of z in x 1.762 * [backup-simplify]: Simplify z into z 1.762 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.762 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.762 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.762 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.762 * [taylor]: Taking taylor expansion of y in x 1.762 * [backup-simplify]: Simplify y into y 1.762 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.762 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.763 * [backup-simplify]: Simplify (+ 1 0) into 1 1.763 * [backup-simplify]: Simplify (sqrt 1) into 1 1.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.765 * [backup-simplify]: Simplify (+ 0 0) into 0 1.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.765 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.765 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.765 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.765 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.765 * [taylor]: Taking taylor expansion of x in x 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify 1 into 1 1.766 * [backup-simplify]: Simplify (* 1 1) into 1 1.766 * [backup-simplify]: Simplify (/ 1 1) into 1 1.766 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.766 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.766 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.766 * [taylor]: Taking taylor expansion of z in x 1.766 * [backup-simplify]: Simplify z into z 1.766 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.767 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.767 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.767 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.767 * [taylor]: Taking taylor expansion of y in x 1.767 * [backup-simplify]: Simplify y into y 1.767 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.767 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.767 * [backup-simplify]: Simplify (+ 1 0) into 1 1.768 * [backup-simplify]: Simplify (sqrt 1) into 1 1.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.769 * [backup-simplify]: Simplify (+ 0 0) into 0 1.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.770 * [taylor]: Taking taylor expansion of 1 in y 1.770 * [backup-simplify]: Simplify 1 into 1 1.770 * [taylor]: Taking taylor expansion of 0 in y 1.770 * [backup-simplify]: Simplify 0 into 0 1.770 * [taylor]: Taking taylor expansion of 1 in z 1.770 * [backup-simplify]: Simplify 1 into 1 1.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.772 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 1.773 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 1.774 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1.774 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.774 * [taylor]: Taking taylor expansion of 1/2 in y 1.774 * [backup-simplify]: Simplify 1/2 into 1/2 1.774 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.774 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.774 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.774 * [taylor]: Taking taylor expansion of z in y 1.774 * [backup-simplify]: Simplify z into z 1.774 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.774 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.774 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.774 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.775 * [taylor]: Taking taylor expansion of y in y 1.775 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify 1 into 1 1.775 * [backup-simplify]: Simplify (* 1 1) into 1 1.775 * [backup-simplify]: Simplify (/ 1 1) into 1 1.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.777 * [backup-simplify]: Simplify (+ 0 0) into 0 1.777 * [backup-simplify]: Simplify (+ 0 1) into 1 1.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.777 * [taylor]: Taking taylor expansion of 0 in z 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [taylor]: Taking taylor expansion of 0 in z 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [taylor]: Taking taylor expansion of 0 in z 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify 1 into 1 1.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.779 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.779 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.780 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.780 * [backup-simplify]: Simplify (+ 0 0) into 0 1.781 * [backup-simplify]: Simplify (+ 0 0) into 0 1.781 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 1.781 * [taylor]: Taking taylor expansion of 0 in y 1.781 * [backup-simplify]: Simplify 0 into 0 1.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.783 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 1.784 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 1.784 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.784 * [taylor]: Taking taylor expansion of 1/2 in z 1.784 * [backup-simplify]: Simplify 1/2 into 1/2 1.784 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.784 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.784 * [taylor]: Taking taylor expansion of z in z 1.784 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify 1 into 1 1.785 * [backup-simplify]: Simplify (* 1 1) into 1 1.785 * [backup-simplify]: Simplify (/ 1 1) into 1 1.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.787 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [taylor]: Taking taylor expansion of 0 in z 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [taylor]: Taking taylor expansion of 0 in z 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.790 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 1.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 1.790 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.792 * [backup-simplify]: Simplify (+ 0 0) into 0 1.792 * [backup-simplify]: Simplify (+ 0 0) into 0 1.793 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) 1.794 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 1.794 * [taylor]: Taking taylor expansion of -1/2 in y 1.794 * [backup-simplify]: Simplify -1/2 into -1/2 1.794 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 1.794 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.794 * [taylor]: Taking taylor expansion of 1/4 in y 1.794 * [backup-simplify]: Simplify 1/4 into 1/4 1.794 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.794 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.794 * [taylor]: Taking taylor expansion of z in y 1.794 * [backup-simplify]: Simplify z into z 1.794 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.794 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 1.794 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 1.794 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.794 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.794 * [taylor]: Taking taylor expansion of 1/2 in y 1.794 * [backup-simplify]: Simplify 1/2 into 1/2 1.794 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.794 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.794 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.794 * [taylor]: Taking taylor expansion of z in y 1.795 * [backup-simplify]: Simplify z into z 1.795 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.795 * [taylor]: Taking taylor expansion of y in y 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify 1 into 1 1.795 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.795 * [backup-simplify]: Simplify (* 1 1) into 1 1.795 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 1.795 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.795 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.795 * [taylor]: Taking taylor expansion of 1/4 in y 1.795 * [backup-simplify]: Simplify 1/4 into 1/4 1.795 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.795 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.795 * [taylor]: Taking taylor expansion of y in y 1.796 * [backup-simplify]: Simplify 0 into 0 1.796 * [backup-simplify]: Simplify 1 into 1 1.796 * [backup-simplify]: Simplify (* 1 1) into 1 1.796 * [backup-simplify]: Simplify (* 1 1) into 1 1.797 * [backup-simplify]: Simplify (/ 1 1) into 1 1.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.797 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.798 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 1.798 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.799 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 1.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.807 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.807 * [backup-simplify]: Simplify (+ 0 0) into 0 1.807 * [backup-simplify]: Simplify (+ 0 0) into 0 1.807 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 1.808 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 1.809 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 1.809 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 1.809 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.810 * [backup-simplify]: Simplify (+ 0 0) into 0 1.810 * [backup-simplify]: Simplify (+ 0 0) into 0 1.810 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.811 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 1.811 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 1.812 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 1.812 * [taylor]: Taking taylor expansion of 0 in z 1.813 * [backup-simplify]: Simplify 0 into 0 1.813 * [taylor]: Taking taylor expansion of 0 in z 1.813 * [backup-simplify]: Simplify 0 into 0 1.813 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.815 * [backup-simplify]: Simplify (+ 0 0) into 0 1.816 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 1.816 * [taylor]: Taking taylor expansion of 0 in z 1.816 * [backup-simplify]: Simplify 0 into 0 1.816 * [taylor]: Taking taylor expansion of 0 in z 1.816 * [backup-simplify]: Simplify 0 into 0 1.816 * [taylor]: Taking taylor expansion of 0 in z 1.816 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.819 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.819 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x 1.820 * [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)))))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) 1.820 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 1.820 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.820 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 1.820 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.820 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.820 * [taylor]: Taking taylor expansion of x in z 1.820 * [backup-simplify]: Simplify x into x 1.820 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.821 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 1.821 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.821 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.821 * [taylor]: Taking taylor expansion of z in z 1.821 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify 1 into 1 1.821 * [backup-simplify]: Simplify (* 1 1) into 1 1.821 * [backup-simplify]: Simplify (/ 1 1) into 1 1.821 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.821 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.821 * [taylor]: Taking taylor expansion of y in z 1.821 * [backup-simplify]: Simplify y into y 1.821 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.821 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.822 * [backup-simplify]: Simplify (+ 1 0) into 1 1.822 * [backup-simplify]: Simplify (+ 0 1) into 1 1.822 * [backup-simplify]: Simplify (sqrt 1) into 1 1.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.823 * [backup-simplify]: Simplify (+ 0 0) into 0 1.823 * [backup-simplify]: Simplify (+ 0 0) into 0 1.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.824 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.824 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.824 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.824 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.824 * [taylor]: Taking taylor expansion of x in y 1.824 * [backup-simplify]: Simplify x into x 1.824 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.824 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.824 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.824 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.824 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.824 * [taylor]: Taking taylor expansion of z in y 1.824 * [backup-simplify]: Simplify z into z 1.824 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.824 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.824 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.824 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.824 * [taylor]: Taking taylor expansion of y in y 1.824 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify 1 into 1 1.825 * [backup-simplify]: Simplify (* 1 1) into 1 1.825 * [backup-simplify]: Simplify (/ 1 1) into 1 1.825 * [backup-simplify]: Simplify (+ 0 1) into 1 1.825 * [backup-simplify]: Simplify (+ 0 1) into 1 1.826 * [backup-simplify]: Simplify (sqrt 1) into 1 1.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.827 * [backup-simplify]: Simplify (+ 0 0) into 0 1.827 * [backup-simplify]: Simplify (+ 0 0) into 0 1.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.827 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.828 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.828 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.828 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.828 * [taylor]: Taking taylor expansion of x in x 1.828 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify 1 into 1 1.828 * [backup-simplify]: Simplify (* 1 1) into 1 1.828 * [backup-simplify]: Simplify (/ 1 1) into 1 1.828 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.828 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.828 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.828 * [taylor]: Taking taylor expansion of z in x 1.828 * [backup-simplify]: Simplify z into z 1.828 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.828 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.828 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.828 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.828 * [taylor]: Taking taylor expansion of y in x 1.828 * [backup-simplify]: Simplify y into y 1.828 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.829 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.829 * [backup-simplify]: Simplify (+ 1 0) into 1 1.829 * [backup-simplify]: Simplify (sqrt 1) into 1 1.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.830 * [backup-simplify]: Simplify (+ 0 0) into 0 1.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.831 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.831 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.831 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.831 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.831 * [taylor]: Taking taylor expansion of x in x 1.831 * [backup-simplify]: Simplify 0 into 0 1.831 * [backup-simplify]: Simplify 1 into 1 1.831 * [backup-simplify]: Simplify (* 1 1) into 1 1.831 * [backup-simplify]: Simplify (/ 1 1) into 1 1.831 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.831 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.831 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.831 * [taylor]: Taking taylor expansion of z in x 1.831 * [backup-simplify]: Simplify z into z 1.831 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.831 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.831 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.831 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.831 * [taylor]: Taking taylor expansion of y in x 1.831 * [backup-simplify]: Simplify y into y 1.831 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.832 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.832 * [backup-simplify]: Simplify (+ 1 0) into 1 1.832 * [backup-simplify]: Simplify (sqrt 1) into 1 1.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.833 * [backup-simplify]: Simplify (+ 0 0) into 0 1.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.834 * [taylor]: Taking taylor expansion of 1 in y 1.834 * [backup-simplify]: Simplify 1 into 1 1.834 * [taylor]: Taking taylor expansion of 0 in y 1.834 * [backup-simplify]: Simplify 0 into 0 1.834 * [taylor]: Taking taylor expansion of 1 in z 1.834 * [backup-simplify]: Simplify 1 into 1 1.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.835 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 1.835 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 1.836 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1.836 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.836 * [taylor]: Taking taylor expansion of 1/2 in y 1.836 * [backup-simplify]: Simplify 1/2 into 1/2 1.836 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.836 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.836 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.836 * [taylor]: Taking taylor expansion of z in y 1.836 * [backup-simplify]: Simplify z into z 1.836 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.836 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.836 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.836 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.837 * [taylor]: Taking taylor expansion of y in y 1.837 * [backup-simplify]: Simplify 0 into 0 1.837 * [backup-simplify]: Simplify 1 into 1 1.837 * [backup-simplify]: Simplify (* 1 1) into 1 1.837 * [backup-simplify]: Simplify (/ 1 1) into 1 1.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.838 * [backup-simplify]: Simplify (+ 0 0) into 0 1.838 * [backup-simplify]: Simplify (+ 0 1) into 1 1.839 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.839 * [taylor]: Taking taylor expansion of 0 in z 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [taylor]: Taking taylor expansion of 0 in z 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [taylor]: Taking taylor expansion of 0 in z 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify 1 into 1 1.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.840 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.840 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.841 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.841 * [backup-simplify]: Simplify (+ 0 0) into 0 1.841 * [backup-simplify]: Simplify (+ 0 0) into 0 1.842 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 1.842 * [taylor]: Taking taylor expansion of 0 in y 1.842 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.843 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 1.843 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 1.843 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.843 * [taylor]: Taking taylor expansion of 1/2 in z 1.843 * [backup-simplify]: Simplify 1/2 into 1/2 1.843 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.843 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.843 * [taylor]: Taking taylor expansion of z in z 1.843 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify 1 into 1 1.844 * [backup-simplify]: Simplify (* 1 1) into 1 1.844 * [backup-simplify]: Simplify (/ 1 1) into 1 1.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.845 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [taylor]: Taking taylor expansion of 0 in z 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [taylor]: Taking taylor expansion of 0 in z 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.847 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 1.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 1.847 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.848 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.848 * [backup-simplify]: Simplify (+ 0 0) into 0 1.848 * [backup-simplify]: Simplify (+ 0 0) into 0 1.849 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) 1.849 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 1.849 * [taylor]: Taking taylor expansion of -1/2 in y 1.849 * [backup-simplify]: Simplify -1/2 into -1/2 1.849 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 1.849 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.849 * [taylor]: Taking taylor expansion of 1/4 in y 1.849 * [backup-simplify]: Simplify 1/4 into 1/4 1.849 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.849 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.849 * [taylor]: Taking taylor expansion of z in y 1.849 * [backup-simplify]: Simplify z into z 1.850 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.850 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 1.850 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 1.850 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.850 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.850 * [taylor]: Taking taylor expansion of 1/2 in y 1.850 * [backup-simplify]: Simplify 1/2 into 1/2 1.850 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.850 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.850 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.850 * [taylor]: Taking taylor expansion of z in y 1.850 * [backup-simplify]: Simplify z into z 1.850 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.850 * [taylor]: Taking taylor expansion of y in y 1.850 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify 1 into 1 1.850 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.850 * [backup-simplify]: Simplify (* 1 1) into 1 1.850 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 1.850 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.850 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.850 * [taylor]: Taking taylor expansion of 1/4 in y 1.851 * [backup-simplify]: Simplify 1/4 into 1/4 1.851 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.851 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.851 * [taylor]: Taking taylor expansion of y in y 1.851 * [backup-simplify]: Simplify 0 into 0 1.851 * [backup-simplify]: Simplify 1 into 1 1.851 * [backup-simplify]: Simplify (* 1 1) into 1 1.851 * [backup-simplify]: Simplify (* 1 1) into 1 1.851 * [backup-simplify]: Simplify (/ 1 1) into 1 1.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.852 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.853 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 1.853 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.853 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 1.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.860 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.860 * [backup-simplify]: Simplify (+ 0 0) into 0 1.860 * [backup-simplify]: Simplify (+ 0 0) into 0 1.861 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 1.861 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 1.862 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 1.862 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 1.862 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.863 * [backup-simplify]: Simplify (+ 0 0) into 0 1.863 * [backup-simplify]: Simplify (+ 0 0) into 0 1.863 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.863 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 1.864 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 1.864 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 1.864 * [taylor]: Taking taylor expansion of 0 in z 1.865 * [backup-simplify]: Simplify 0 into 0 1.865 * [taylor]: Taking taylor expansion of 0 in z 1.865 * [backup-simplify]: Simplify 0 into 0 1.865 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.870 * [backup-simplify]: Simplify (+ 0 0) into 0 1.871 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 1.871 * [taylor]: Taking taylor expansion of 0 in z 1.871 * [backup-simplify]: Simplify 0 into 0 1.871 * [taylor]: Taking taylor expansion of 0 in z 1.871 * [backup-simplify]: Simplify 0 into 0 1.871 * [taylor]: Taking taylor expansion of 0 in z 1.871 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.873 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.873 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x) 1.873 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 1.873 * [backup-simplify]: Simplify (cbrt (+ (* x x) (* y y))) into (pow (+ (pow x 2) (pow y 2)) 1/3) 1.873 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 1.873 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 1.873 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 1.873 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 1.873 * [taylor]: Taking taylor expansion of 1/3 in y 1.873 * [backup-simplify]: Simplify 1/3 into 1/3 1.873 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 1.873 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.873 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.873 * [taylor]: Taking taylor expansion of x in y 1.873 * [backup-simplify]: Simplify x into x 1.873 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.873 * [taylor]: Taking taylor expansion of y in y 1.873 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify 1 into 1 1.873 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.873 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.874 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 1.874 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 1.874 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 1.874 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 1.874 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 1.874 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 1.874 * [taylor]: Taking taylor expansion of 1/3 in x 1.874 * [backup-simplify]: Simplify 1/3 into 1/3 1.874 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.874 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.874 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.874 * [taylor]: Taking taylor expansion of x in x 1.874 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify 1 into 1 1.874 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.874 * [taylor]: Taking taylor expansion of y in x 1.874 * [backup-simplify]: Simplify y into y 1.874 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.874 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.874 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 1.874 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 1.874 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 1.874 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 1.874 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 1.875 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 1.875 * [taylor]: Taking taylor expansion of 1/3 in x 1.875 * [backup-simplify]: Simplify 1/3 into 1/3 1.875 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.875 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.875 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.875 * [taylor]: Taking taylor expansion of x in x 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify 1 into 1 1.875 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.875 * [taylor]: Taking taylor expansion of y in x 1.875 * [backup-simplify]: Simplify y into y 1.875 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.875 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.875 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 1.875 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 1.875 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 1.875 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.875 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.875 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.875 * [taylor]: Taking taylor expansion of 1/3 in y 1.875 * [backup-simplify]: Simplify 1/3 into 1/3 1.875 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.875 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.875 * [taylor]: Taking taylor expansion of y in y 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify 1 into 1 1.876 * [backup-simplify]: Simplify (* 1 1) into 1 1.876 * [backup-simplify]: Simplify (log 1) into 0 1.876 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.876 * [backup-simplify]: Simplify (* 1/3 (* 2 (log y))) into (* 2/3 (log y)) 1.876 * [backup-simplify]: Simplify (exp (* 2/3 (log y))) into (pow y 2/3) 1.877 * [backup-simplify]: Simplify (pow y 2/3) into (pow y 2/3) 1.877 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.877 * [backup-simplify]: Simplify (+ 0 0) into 0 1.878 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0 1.878 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow y 2)))) into 0 1.879 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.879 * [taylor]: Taking taylor expansion of 0 in y 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.880 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.880 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.881 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log y)))) into 0 1.881 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 1.881 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify (* 1 1) into 1 1.882 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.882 * [backup-simplify]: Simplify (+ 1 0) into 1 1.885 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow y 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow y 2) 1)))) 2) into (/ 1 (pow y 2)) 1.885 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/3 (/ 1 (pow y 2))) 1.887 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.887 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 1.887 * [taylor]: Taking taylor expansion of 1/3 in y 1.887 * [backup-simplify]: Simplify 1/3 into 1/3 1.887 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 1.887 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 1.887 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 1.887 * [taylor]: Taking taylor expansion of 1/3 in y 1.887 * [backup-simplify]: Simplify 1/3 into 1/3 1.887 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 1.887 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.887 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.887 * [taylor]: Taking taylor expansion of y in y 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify 1 into 1 1.887 * [backup-simplify]: Simplify (* 1 1) into 1 1.888 * [backup-simplify]: Simplify (* 1 1) into 1 1.888 * [backup-simplify]: Simplify (/ 1 1) into 1 1.888 * [backup-simplify]: Simplify (log 1) into 0 1.889 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 1.889 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y)) 1.889 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3) 1.889 * [backup-simplify]: Simplify (* 1/3 (pow y -4/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.889 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 1.889 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.891 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.892 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.892 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0 1.893 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.893 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.894 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.894 * [backup-simplify]: Simplify (+ 0 0) into 0 1.896 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow y 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow y 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow y 2) 1)))) 6) into 0 1.897 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0 1.898 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.898 * [taylor]: Taking taylor expansion of 0 in y 1.898 * [backup-simplify]: Simplify 0 into 0 1.898 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.900 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.901 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 1.901 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log y))))) into 0 1.902 * [backup-simplify]: Simplify (* (exp (* -4/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 1.902 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow y -4/3))) into 0 1.902 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.907 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.907 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 1.908 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0 1.909 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.909 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) (pow (* 1 x) 2)) (pow y 2/3)) into (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) 1.910 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) 1.910 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 1.910 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 1.910 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.910 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.910 * [taylor]: Taking taylor expansion of 1/3 in y 1.910 * [backup-simplify]: Simplify 1/3 into 1/3 1.910 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.910 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.910 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.910 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.910 * [taylor]: Taking taylor expansion of x in y 1.910 * [backup-simplify]: Simplify x into x 1.910 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.910 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.910 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.910 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.910 * [taylor]: Taking taylor expansion of y in y 1.910 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify 1 into 1 1.911 * [backup-simplify]: Simplify (* 1 1) into 1 1.911 * [backup-simplify]: Simplify (/ 1 1) into 1 1.911 * [backup-simplify]: Simplify (+ 0 1) into 1 1.911 * [backup-simplify]: Simplify (log 1) into 0 1.912 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.912 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 1.912 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 1.912 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.912 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.912 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.912 * [taylor]: Taking taylor expansion of 1/3 in x 1.912 * [backup-simplify]: Simplify 1/3 into 1/3 1.912 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.912 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.912 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.912 * [taylor]: Taking taylor expansion of x in x 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 1 into 1 1.912 * [backup-simplify]: Simplify (* 1 1) into 1 1.913 * [backup-simplify]: Simplify (/ 1 1) into 1 1.913 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.913 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.913 * [taylor]: Taking taylor expansion of y in x 1.913 * [backup-simplify]: Simplify y into y 1.913 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.913 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.913 * [backup-simplify]: Simplify (+ 1 0) into 1 1.914 * [backup-simplify]: Simplify (log 1) into 0 1.914 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.914 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.914 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.914 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.914 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.914 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.914 * [taylor]: Taking taylor expansion of 1/3 in x 1.914 * [backup-simplify]: Simplify 1/3 into 1/3 1.914 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.914 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.914 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.915 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.915 * [taylor]: Taking taylor expansion of x in x 1.915 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify 1 into 1 1.915 * [backup-simplify]: Simplify (* 1 1) into 1 1.915 * [backup-simplify]: Simplify (/ 1 1) into 1 1.915 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.915 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.915 * [taylor]: Taking taylor expansion of y in x 1.915 * [backup-simplify]: Simplify y into y 1.915 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.916 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.916 * [backup-simplify]: Simplify (+ 1 0) into 1 1.916 * [backup-simplify]: Simplify (log 1) into 0 1.917 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.917 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.917 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.917 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.917 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.917 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.917 * [taylor]: Taking taylor expansion of -2/3 in y 1.917 * [backup-simplify]: Simplify -2/3 into -2/3 1.917 * [taylor]: Taking taylor expansion of (log x) in y 1.917 * [taylor]: Taking taylor expansion of x in y 1.917 * [backup-simplify]: Simplify x into x 1.917 * [backup-simplify]: Simplify (log x) into (log x) 1.917 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 1.918 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.918 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 1.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.920 * [backup-simplify]: Simplify (+ 0 0) into 0 1.921 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.921 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.922 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 1.923 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.923 * [taylor]: Taking taylor expansion of 0 in y 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify 0 into 0 1.924 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 1.924 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 1.925 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.925 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.927 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.929 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 1.929 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.930 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 1.931 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) 1.931 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.931 * [taylor]: Taking taylor expansion of 1/3 in y 1.931 * [backup-simplify]: Simplify 1/3 into 1/3 1.931 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.931 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.931 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.931 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.931 * [taylor]: Taking taylor expansion of 1/3 in y 1.931 * [backup-simplify]: Simplify 1/3 into 1/3 1.931 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.931 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.931 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.932 * [taylor]: Taking taylor expansion of x in y 1.932 * [backup-simplify]: Simplify x into x 1.932 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.932 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.932 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 1.932 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 1.932 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 1.932 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.932 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.932 * [taylor]: Taking taylor expansion of y in y 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify 1 into 1 1.933 * [backup-simplify]: Simplify (* 1 1) into 1 1.933 * [backup-simplify]: Simplify (/ 1 1) into 1 1.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.936 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.937 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.938 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 1.938 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 1.939 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.940 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.942 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0 1.943 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 1.944 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.944 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.945 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 1.945 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 1.946 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 1.948 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 1.948 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.948 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.950 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.950 * [backup-simplify]: Simplify (+ 0 0) into 0 1.953 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.953 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.954 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 1.955 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.955 * [taylor]: Taking taylor expansion of 0 in y 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify (pow (/ 1 x) -2/3) into (pow (/ 1 x) -2/3) 1.955 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) 1.955 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 1.955 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 1.955 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.956 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.956 * [taylor]: Taking taylor expansion of 1/3 in y 1.956 * [backup-simplify]: Simplify 1/3 into 1/3 1.956 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.956 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.956 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.956 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.956 * [taylor]: Taking taylor expansion of x in y 1.956 * [backup-simplify]: Simplify x into x 1.956 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.956 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.956 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.956 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.956 * [taylor]: Taking taylor expansion of y in y 1.956 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify 1 into 1 1.956 * [backup-simplify]: Simplify (* 1 1) into 1 1.957 * [backup-simplify]: Simplify (/ 1 1) into 1 1.957 * [backup-simplify]: Simplify (+ 0 1) into 1 1.957 * [backup-simplify]: Simplify (log 1) into 0 1.958 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.958 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 1.958 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 1.958 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.958 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.958 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.958 * [taylor]: Taking taylor expansion of 1/3 in x 1.958 * [backup-simplify]: Simplify 1/3 into 1/3 1.958 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.959 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.959 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.959 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.959 * [taylor]: Taking taylor expansion of x in x 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify 1 into 1 1.959 * [backup-simplify]: Simplify (* 1 1) into 1 1.959 * [backup-simplify]: Simplify (/ 1 1) into 1 1.960 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.960 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.960 * [taylor]: Taking taylor expansion of y in x 1.960 * [backup-simplify]: Simplify y into y 1.960 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.960 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.960 * [backup-simplify]: Simplify (+ 1 0) into 1 1.961 * [backup-simplify]: Simplify (log 1) into 0 1.961 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.961 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.961 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.961 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 1.961 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.961 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.961 * [taylor]: Taking taylor expansion of 1/3 in x 1.961 * [backup-simplify]: Simplify 1/3 into 1/3 1.961 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.962 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.962 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.962 * [taylor]: Taking taylor expansion of x in x 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 1 into 1 1.962 * [backup-simplify]: Simplify (* 1 1) into 1 1.963 * [backup-simplify]: Simplify (/ 1 1) into 1 1.963 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.963 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.963 * [taylor]: Taking taylor expansion of y in x 1.963 * [backup-simplify]: Simplify y into y 1.963 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.963 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.963 * [backup-simplify]: Simplify (+ 1 0) into 1 1.964 * [backup-simplify]: Simplify (log 1) into 0 1.964 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.964 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 1.964 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.965 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 1.965 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 1.965 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 1.965 * [taylor]: Taking taylor expansion of -2/3 in y 1.965 * [backup-simplify]: Simplify -2/3 into -2/3 1.965 * [taylor]: Taking taylor expansion of (log x) in y 1.965 * [taylor]: Taking taylor expansion of x in y 1.965 * [backup-simplify]: Simplify x into x 1.965 * [backup-simplify]: Simplify (log x) into (log x) 1.965 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 1.965 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 1.965 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 1.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.967 * [backup-simplify]: Simplify (+ 0 0) into 0 1.968 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.969 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.969 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 1.970 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.970 * [taylor]: Taking taylor expansion of 0 in y 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 1.971 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 1.972 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 1.972 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.974 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.976 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2)) 1.977 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 1.977 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 1.978 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) 1.979 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 1.979 * [taylor]: Taking taylor expansion of 1/3 in y 1.979 * [backup-simplify]: Simplify 1/3 into 1/3 1.979 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 1.979 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 1.979 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 1.979 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 1.979 * [taylor]: Taking taylor expansion of 1/3 in y 1.979 * [backup-simplify]: Simplify 1/3 into 1/3 1.979 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 1.979 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.979 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.979 * [taylor]: Taking taylor expansion of x in y 1.979 * [backup-simplify]: Simplify x into x 1.979 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.979 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.979 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 1.979 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 1.980 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 1.980 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.980 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.980 * [taylor]: Taking taylor expansion of y in y 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify 1 into 1 1.980 * [backup-simplify]: Simplify (* 1 1) into 1 1.981 * [backup-simplify]: Simplify (/ 1 1) into 1 1.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.984 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.985 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 1.985 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 1.986 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.987 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.989 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0 1.990 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 1.991 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.992 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.992 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 1.993 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 1.994 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 1.994 * [backup-simplify]: Simplify 0 into 0 1.994 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 2.000 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 2.001 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.001 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.004 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.004 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.004 * [backup-simplify]: Simplify (+ 0 0) into 0 2.008 * [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 2.008 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.009 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 2.011 * [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 2.011 * [taylor]: Taking taylor expansion of 0 in y 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -2/3) into (pow (/ -1 x) -2/3) 2.012 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2) 2.012 * [backup-simplify]: Simplify (cbrt (+ (* x x) (* y y))) into (pow (+ (pow x 2) (pow y 2)) 1/3) 2.012 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 2.012 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 2.012 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 2.012 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 2.012 * [taylor]: Taking taylor expansion of 1/3 in y 2.012 * [backup-simplify]: Simplify 1/3 into 1/3 2.012 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 2.012 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.012 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.012 * [taylor]: Taking taylor expansion of x in y 2.012 * [backup-simplify]: Simplify x into x 2.012 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.012 * [taylor]: Taking taylor expansion of y in y 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 1 into 1 2.012 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.013 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.013 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 2.013 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 2.013 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 2.013 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 2.013 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 2.013 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 2.013 * [taylor]: Taking taylor expansion of 1/3 in x 2.013 * [backup-simplify]: Simplify 1/3 into 1/3 2.013 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 2.013 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.013 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.013 * [taylor]: Taking taylor expansion of x in x 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 1 into 1 2.013 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.013 * [taylor]: Taking taylor expansion of y in x 2.013 * [backup-simplify]: Simplify y into y 2.013 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.014 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.014 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 2.014 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 2.014 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 2.014 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 2.014 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 2.014 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 2.014 * [taylor]: Taking taylor expansion of 1/3 in x 2.014 * [backup-simplify]: Simplify 1/3 into 1/3 2.014 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 2.014 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.014 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.014 * [taylor]: Taking taylor expansion of x in x 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.014 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.014 * [taylor]: Taking taylor expansion of y in x 2.014 * [backup-simplify]: Simplify y into y 2.014 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.015 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.015 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 2.015 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 2.015 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 2.015 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 2.015 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 2.015 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 2.015 * [taylor]: Taking taylor expansion of 1/3 in y 2.015 * [backup-simplify]: Simplify 1/3 into 1/3 2.015 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 2.015 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.015 * [taylor]: Taking taylor expansion of y in y 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify 1 into 1 2.016 * [backup-simplify]: Simplify (* 1 1) into 1 2.016 * [backup-simplify]: Simplify (log 1) into 0 2.017 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 2.017 * [backup-simplify]: Simplify (* 1/3 (* 2 (log y))) into (* 2/3 (log y)) 2.017 * [backup-simplify]: Simplify (exp (* 2/3 (log y))) into (pow y 2/3) 2.017 * [backup-simplify]: Simplify (pow y 2/3) into (pow y 2/3) 2.017 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.017 * [backup-simplify]: Simplify (+ 0 0) into 0 2.018 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0 2.019 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow y 2)))) into 0 2.020 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.020 * [taylor]: Taking taylor expansion of 0 in y 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.022 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.022 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 2.023 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log y)))) into 0 2.024 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify (* 1 1) into 1 2.024 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.025 * [backup-simplify]: Simplify (+ 1 0) into 1 2.027 * [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)) 2.027 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/3 (/ 1 (pow y 2))) 2.028 * [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)) 2.029 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 2.029 * [taylor]: Taking taylor expansion of 1/3 in y 2.029 * [backup-simplify]: Simplify 1/3 into 1/3 2.029 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 2.029 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 2.029 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 2.029 * [taylor]: Taking taylor expansion of 1/3 in y 2.029 * [backup-simplify]: Simplify 1/3 into 1/3 2.029 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 2.029 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.029 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.029 * [taylor]: Taking taylor expansion of y in y 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 1 into 1 2.029 * [backup-simplify]: Simplify (* 1 1) into 1 2.030 * [backup-simplify]: Simplify (* 1 1) into 1 2.030 * [backup-simplify]: Simplify (/ 1 1) into 1 2.030 * [backup-simplify]: Simplify (log 1) into 0 2.031 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 2.031 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y)) 2.031 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3) 2.031 * [backup-simplify]: Simplify (* 1/3 (pow y -4/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 2.031 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 2.031 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.035 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.036 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 2.036 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0 2.038 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.038 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.039 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.040 * [backup-simplify]: Simplify (+ 0 0) into 0 2.043 * [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 2.044 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0 2.046 * [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 2.046 * [taylor]: Taking taylor expansion of 0 in y 2.046 * [backup-simplify]: Simplify 0 into 0 2.046 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.049 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.050 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 2.050 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log y))))) into 0 2.051 * [backup-simplify]: Simplify (* (exp (* -4/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 2.051 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow y -4/3))) into 0 2.052 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.057 * [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 2.058 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 2.059 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0 2.061 * [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 2.061 * [backup-simplify]: Simplify 0 into 0 2.062 * [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)))) 2.062 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) 2.062 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 2.062 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 2.062 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 2.062 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 2.062 * [taylor]: Taking taylor expansion of 1/3 in y 2.062 * [backup-simplify]: Simplify 1/3 into 1/3 2.062 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.062 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.062 * [taylor]: Taking taylor expansion of x in y 2.062 * [backup-simplify]: Simplify x into x 2.062 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.063 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.063 * [taylor]: Taking taylor expansion of y in y 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [backup-simplify]: Simplify (* 1 1) into 1 2.064 * [backup-simplify]: Simplify (/ 1 1) into 1 2.064 * [backup-simplify]: Simplify (+ 0 1) into 1 2.065 * [backup-simplify]: Simplify (log 1) into 0 2.065 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.065 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 2.065 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 2.065 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 2.065 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.065 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.065 * [taylor]: Taking taylor expansion of 1/3 in x 2.065 * [backup-simplify]: Simplify 1/3 into 1/3 2.065 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.066 * [taylor]: Taking taylor expansion of x in x 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify 1 into 1 2.066 * [backup-simplify]: Simplify (* 1 1) into 1 2.066 * [backup-simplify]: Simplify (/ 1 1) into 1 2.066 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.066 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.066 * [taylor]: Taking taylor expansion of y in x 2.066 * [backup-simplify]: Simplify y into y 2.067 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.067 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.067 * [backup-simplify]: Simplify (+ 1 0) into 1 2.068 * [backup-simplify]: Simplify (log 1) into 0 2.068 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.068 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 2.068 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 2.068 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 2.068 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.068 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.068 * [taylor]: Taking taylor expansion of 1/3 in x 2.068 * [backup-simplify]: Simplify 1/3 into 1/3 2.068 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.069 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.069 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.069 * [taylor]: Taking taylor expansion of x in x 2.069 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify 1 into 1 2.069 * [backup-simplify]: Simplify (* 1 1) into 1 2.069 * [backup-simplify]: Simplify (/ 1 1) into 1 2.069 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.069 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.069 * [taylor]: Taking taylor expansion of y in x 2.069 * [backup-simplify]: Simplify y into y 2.070 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.070 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.070 * [backup-simplify]: Simplify (+ 1 0) into 1 2.071 * [backup-simplify]: Simplify (log 1) into 0 2.071 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.071 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 2.071 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 2.071 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 2.071 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 2.071 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 2.071 * [taylor]: Taking taylor expansion of -2/3 in y 2.071 * [backup-simplify]: Simplify -2/3 into -2/3 2.071 * [taylor]: Taking taylor expansion of (log x) in y 2.072 * [taylor]: Taking taylor expansion of x in y 2.072 * [backup-simplify]: Simplify x into x 2.072 * [backup-simplify]: Simplify (log x) into (log x) 2.072 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 2.072 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 2.072 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 2.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.074 * [backup-simplify]: Simplify (+ 0 0) into 0 2.075 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.076 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.076 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 2.077 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.077 * [taylor]: Taking taylor expansion of 0 in y 2.077 * [backup-simplify]: Simplify 0 into 0 2.077 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 2.079 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 2.079 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.080 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.082 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.084 * [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)) 2.084 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.085 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 2.086 * [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)))) 2.086 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 2.086 * [taylor]: Taking taylor expansion of 1/3 in y 2.086 * [backup-simplify]: Simplify 1/3 into 1/3 2.086 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 2.086 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 2.086 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 2.086 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 2.086 * [taylor]: Taking taylor expansion of 1/3 in y 2.086 * [backup-simplify]: Simplify 1/3 into 1/3 2.086 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 2.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.086 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.086 * [taylor]: Taking taylor expansion of x in y 2.087 * [backup-simplify]: Simplify x into x 2.087 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.087 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.087 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 2.087 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 2.087 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 2.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.087 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.087 * [taylor]: Taking taylor expansion of y in y 2.087 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify 1 into 1 2.088 * [backup-simplify]: Simplify (* 1 1) into 1 2.088 * [backup-simplify]: Simplify (/ 1 1) into 1 2.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.091 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.092 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 2.093 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 2.093 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.094 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 2.095 * [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 2.096 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 2.097 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.098 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 2.098 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 2.098 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 2.099 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 2.099 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify 0 into 0 2.100 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 2.101 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 2.102 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.102 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.103 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.103 * [backup-simplify]: Simplify (+ 0 0) into 0 2.105 * [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 2.106 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.106 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 2.108 * [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 2.108 * [taylor]: Taking taylor expansion of 0 in y 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify (pow (/ 1 x) -2/3) into (pow (/ 1 x) -2/3) 2.108 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) 2.108 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 2.108 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 2.108 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 2.108 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 2.108 * [taylor]: Taking taylor expansion of 1/3 in y 2.108 * [backup-simplify]: Simplify 1/3 into 1/3 2.108 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.108 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.109 * [taylor]: Taking taylor expansion of x in y 2.109 * [backup-simplify]: Simplify x into x 2.109 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.109 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.109 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.109 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.109 * [taylor]: Taking taylor expansion of y in y 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 1 into 1 2.109 * [backup-simplify]: Simplify (* 1 1) into 1 2.109 * [backup-simplify]: Simplify (/ 1 1) into 1 2.110 * [backup-simplify]: Simplify (+ 0 1) into 1 2.110 * [backup-simplify]: Simplify (log 1) into 0 2.110 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.110 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 2.110 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 2.110 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 2.110 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.110 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.110 * [taylor]: Taking taylor expansion of 1/3 in x 2.110 * [backup-simplify]: Simplify 1/3 into 1/3 2.110 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.110 * [taylor]: Taking taylor expansion of x in x 2.110 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify 1 into 1 2.111 * [backup-simplify]: Simplify (* 1 1) into 1 2.111 * [backup-simplify]: Simplify (/ 1 1) into 1 2.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.111 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.111 * [taylor]: Taking taylor expansion of y in x 2.111 * [backup-simplify]: Simplify y into y 2.111 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.111 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.111 * [backup-simplify]: Simplify (+ 1 0) into 1 2.112 * [backup-simplify]: Simplify (log 1) into 0 2.112 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.112 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 2.112 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 2.112 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 2.112 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.112 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.112 * [taylor]: Taking taylor expansion of 1/3 in x 2.112 * [backup-simplify]: Simplify 1/3 into 1/3 2.112 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.112 * [taylor]: Taking taylor expansion of x in x 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify 1 into 1 2.113 * [backup-simplify]: Simplify (* 1 1) into 1 2.113 * [backup-simplify]: Simplify (/ 1 1) into 1 2.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.113 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.113 * [taylor]: Taking taylor expansion of y in x 2.113 * [backup-simplify]: Simplify y into y 2.113 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.113 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.114 * [backup-simplify]: Simplify (+ 1 0) into 1 2.114 * [backup-simplify]: Simplify (log 1) into 0 2.114 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.114 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 2.114 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 2.114 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 2.114 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 2.114 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 2.114 * [taylor]: Taking taylor expansion of -2/3 in y 2.114 * [backup-simplify]: Simplify -2/3 into -2/3 2.114 * [taylor]: Taking taylor expansion of (log x) in y 2.114 * [taylor]: Taking taylor expansion of x in y 2.114 * [backup-simplify]: Simplify x into x 2.114 * [backup-simplify]: Simplify (log x) into (log x) 2.115 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 2.115 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 2.115 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 2.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.116 * [backup-simplify]: Simplify (+ 0 0) into 0 2.117 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.117 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.117 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 2.118 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.118 * [taylor]: Taking taylor expansion of 0 in y 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 2.119 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 2.119 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.119 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.121 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.123 * [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)) 2.123 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.124 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 2.125 * [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)))) 2.125 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 2.125 * [taylor]: Taking taylor expansion of 1/3 in y 2.125 * [backup-simplify]: Simplify 1/3 into 1/3 2.125 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 2.125 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 2.125 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 2.125 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 2.125 * [taylor]: Taking taylor expansion of 1/3 in y 2.125 * [backup-simplify]: Simplify 1/3 into 1/3 2.125 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 2.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.125 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.125 * [taylor]: Taking taylor expansion of x in y 2.125 * [backup-simplify]: Simplify x into x 2.125 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.126 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.126 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 2.126 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 2.126 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 2.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.126 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.126 * [taylor]: Taking taylor expansion of y in y 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify 1 into 1 2.127 * [backup-simplify]: Simplify (* 1 1) into 1 2.127 * [backup-simplify]: Simplify (/ 1 1) into 1 2.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.131 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.132 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 2.133 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 2.134 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.134 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 2.137 * [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 2.142 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 2.144 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.145 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 2.145 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 2.146 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 2.147 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 2.147 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify 0 into 0 2.149 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 2.150 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 2.151 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.151 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.153 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.154 * [backup-simplify]: Simplify (+ 0 0) into 0 2.158 * [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 2.158 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.159 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 2.162 * [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 2.162 * [taylor]: Taking taylor expansion of 0 in y 2.162 * [backup-simplify]: Simplify 0 into 0 2.162 * [backup-simplify]: Simplify 0 into 0 2.162 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -2/3) into (pow (/ -1 x) -2/3) 2.162 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 2.162 * [backup-simplify]: Simplify (cbrt (+ (* x x) (* y y))) into (pow (+ (pow x 2) (pow y 2)) 1/3) 2.162 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 2.162 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 2.162 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 2.163 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 2.163 * [taylor]: Taking taylor expansion of 1/3 in y 2.163 * [backup-simplify]: Simplify 1/3 into 1/3 2.163 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 2.163 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.163 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.163 * [taylor]: Taking taylor expansion of x in y 2.163 * [backup-simplify]: Simplify x into x 2.163 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.163 * [taylor]: Taking taylor expansion of y in y 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify 1 into 1 2.163 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.163 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.163 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 2.164 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 2.164 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 2.164 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 2.164 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 2.164 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 2.164 * [taylor]: Taking taylor expansion of 1/3 in x 2.164 * [backup-simplify]: Simplify 1/3 into 1/3 2.164 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 2.164 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.164 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.164 * [taylor]: Taking taylor expansion of x in x 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify 1 into 1 2.164 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.164 * [taylor]: Taking taylor expansion of y in x 2.164 * [backup-simplify]: Simplify y into y 2.164 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.165 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.165 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 2.165 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 2.165 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 2.165 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 2.165 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 2.165 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 2.165 * [taylor]: Taking taylor expansion of 1/3 in x 2.165 * [backup-simplify]: Simplify 1/3 into 1/3 2.165 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 2.165 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.165 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.165 * [taylor]: Taking taylor expansion of x in x 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify 1 into 1 2.165 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.165 * [taylor]: Taking taylor expansion of y in x 2.165 * [backup-simplify]: Simplify y into y 2.166 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.166 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.166 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2)) 2.166 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2))) 2.166 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3) 2.166 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 2.166 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 2.166 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 2.166 * [taylor]: Taking taylor expansion of 1/3 in y 2.166 * [backup-simplify]: Simplify 1/3 into 1/3 2.166 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 2.166 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.166 * [taylor]: Taking taylor expansion of y in y 2.166 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify 1 into 1 2.167 * [backup-simplify]: Simplify (* 1 1) into 1 2.167 * [backup-simplify]: Simplify (log 1) into 0 2.168 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 2.168 * [backup-simplify]: Simplify (* 1/3 (* 2 (log y))) into (* 2/3 (log y)) 2.168 * [backup-simplify]: Simplify (exp (* 2/3 (log y))) into (pow y 2/3) 2.168 * [backup-simplify]: Simplify (pow y 2/3) into (pow y 2/3) 2.168 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.169 * [backup-simplify]: Simplify (+ 0 0) into 0 2.170 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0 2.170 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow y 2)))) into 0 2.171 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.171 * [taylor]: Taking taylor expansion of 0 in y 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.173 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.174 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 2.174 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log y)))) into 0 2.175 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 2.175 * [backup-simplify]: Simplify 0 into 0 2.176 * [backup-simplify]: Simplify (* 1 1) into 1 2.176 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.177 * [backup-simplify]: Simplify (+ 1 0) into 1 2.179 * [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)) 2.179 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/3 (/ 1 (pow y 2))) 2.180 * [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)) 2.181 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 2.181 * [taylor]: Taking taylor expansion of 1/3 in y 2.181 * [backup-simplify]: Simplify 1/3 into 1/3 2.181 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 2.181 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 2.181 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 2.181 * [taylor]: Taking taylor expansion of 1/3 in y 2.181 * [backup-simplify]: Simplify 1/3 into 1/3 2.181 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 2.181 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.181 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.181 * [taylor]: Taking taylor expansion of y in y 2.181 * [backup-simplify]: Simplify 0 into 0 2.181 * [backup-simplify]: Simplify 1 into 1 2.181 * [backup-simplify]: Simplify (* 1 1) into 1 2.182 * [backup-simplify]: Simplify (* 1 1) into 1 2.182 * [backup-simplify]: Simplify (/ 1 1) into 1 2.182 * [backup-simplify]: Simplify (log 1) into 0 2.183 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 2.183 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y)) 2.183 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3) 2.183 * [backup-simplify]: Simplify (* 1/3 (pow y -4/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 2.184 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) 2.184 * [backup-simplify]: Simplify 0 into 0 2.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.188 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.188 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 2.189 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0 2.190 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.191 * [backup-simplify]: Simplify 0 into 0 2.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.192 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.192 * [backup-simplify]: Simplify (+ 0 0) into 0 2.196 * [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 2.197 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0 2.199 * [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 2.199 * [taylor]: Taking taylor expansion of 0 in y 2.199 * [backup-simplify]: Simplify 0 into 0 2.199 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.203 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.204 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y))) 2.204 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log y))))) into 0 2.205 * [backup-simplify]: Simplify (* (exp (* -4/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 2.206 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow y -4/3))) into 0 2.206 * [backup-simplify]: Simplify 0 into 0 2.206 * [backup-simplify]: Simplify 0 into 0 2.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.212 * [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 2.213 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y)) 2.214 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0 2.216 * [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 2.216 * [backup-simplify]: Simplify 0 into 0 2.216 * [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)))) 2.217 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) 2.217 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 2.217 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 2.217 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 2.217 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 2.217 * [taylor]: Taking taylor expansion of 1/3 in y 2.217 * [backup-simplify]: Simplify 1/3 into 1/3 2.217 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.217 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.217 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.217 * [taylor]: Taking taylor expansion of x in y 2.217 * [backup-simplify]: Simplify x into x 2.217 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.217 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.217 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.217 * [taylor]: Taking taylor expansion of y in y 2.217 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify 1 into 1 2.217 * [backup-simplify]: Simplify (* 1 1) into 1 2.218 * [backup-simplify]: Simplify (/ 1 1) into 1 2.218 * [backup-simplify]: Simplify (+ 0 1) into 1 2.218 * [backup-simplify]: Simplify (log 1) into 0 2.218 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.218 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 2.219 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 2.219 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 2.219 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.219 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.219 * [taylor]: Taking taylor expansion of 1/3 in x 2.219 * [backup-simplify]: Simplify 1/3 into 1/3 2.219 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.219 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.219 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.219 * [taylor]: Taking taylor expansion of x in x 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify 1 into 1 2.219 * [backup-simplify]: Simplify (* 1 1) into 1 2.219 * [backup-simplify]: Simplify (/ 1 1) into 1 2.219 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.219 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.219 * [taylor]: Taking taylor expansion of y in x 2.219 * [backup-simplify]: Simplify y into y 2.219 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.219 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.220 * [backup-simplify]: Simplify (+ 1 0) into 1 2.220 * [backup-simplify]: Simplify (log 1) into 0 2.220 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.220 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 2.220 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 2.220 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 2.220 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.220 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.220 * [taylor]: Taking taylor expansion of 1/3 in x 2.220 * [backup-simplify]: Simplify 1/3 into 1/3 2.221 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.221 * [taylor]: Taking taylor expansion of x in x 2.221 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify 1 into 1 2.221 * [backup-simplify]: Simplify (* 1 1) into 1 2.221 * [backup-simplify]: Simplify (/ 1 1) into 1 2.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.221 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.221 * [taylor]: Taking taylor expansion of y in x 2.221 * [backup-simplify]: Simplify y into y 2.221 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.221 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.222 * [backup-simplify]: Simplify (+ 1 0) into 1 2.222 * [backup-simplify]: Simplify (log 1) into 0 2.222 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.222 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 2.222 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 2.222 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 2.222 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 2.222 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 2.222 * [taylor]: Taking taylor expansion of -2/3 in y 2.222 * [backup-simplify]: Simplify -2/3 into -2/3 2.222 * [taylor]: Taking taylor expansion of (log x) in y 2.222 * [taylor]: Taking taylor expansion of x in y 2.222 * [backup-simplify]: Simplify x into x 2.222 * [backup-simplify]: Simplify (log x) into (log x) 2.222 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 2.223 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 2.223 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 2.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.224 * [backup-simplify]: Simplify (+ 0 0) into 0 2.225 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.225 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.225 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 2.226 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.226 * [taylor]: Taking taylor expansion of 0 in y 2.226 * [backup-simplify]: Simplify 0 into 0 2.226 * [backup-simplify]: Simplify 0 into 0 2.226 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 2.227 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 2.227 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.227 * [backup-simplify]: Simplify 0 into 0 2.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.229 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.230 * [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)) 2.230 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.230 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 2.231 * [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)))) 2.231 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 2.231 * [taylor]: Taking taylor expansion of 1/3 in y 2.231 * [backup-simplify]: Simplify 1/3 into 1/3 2.231 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 2.231 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 2.231 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 2.231 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 2.231 * [taylor]: Taking taylor expansion of 1/3 in y 2.231 * [backup-simplify]: Simplify 1/3 into 1/3 2.231 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 2.231 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.231 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.231 * [taylor]: Taking taylor expansion of x in y 2.231 * [backup-simplify]: Simplify x into x 2.231 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.231 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.232 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 2.232 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 2.232 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 2.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.232 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.232 * [taylor]: Taking taylor expansion of y in y 2.232 * [backup-simplify]: Simplify 0 into 0 2.232 * [backup-simplify]: Simplify 1 into 1 2.232 * [backup-simplify]: Simplify (* 1 1) into 1 2.232 * [backup-simplify]: Simplify (/ 1 1) into 1 2.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.234 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.235 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 2.235 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 2.236 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.236 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 2.238 * [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 2.238 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 2.239 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.240 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 2.240 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 2.240 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 2.241 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 2.241 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify 0 into 0 2.242 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 2.243 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 2.244 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.244 * [backup-simplify]: Simplify 0 into 0 2.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.245 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.245 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.245 * [backup-simplify]: Simplify (+ 0 0) into 0 2.247 * [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 2.248 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.248 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 2.250 * [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 2.250 * [taylor]: Taking taylor expansion of 0 in y 2.250 * [backup-simplify]: Simplify 0 into 0 2.250 * [backup-simplify]: Simplify 0 into 0 2.250 * [backup-simplify]: Simplify (pow (/ 1 x) -2/3) into (pow (/ 1 x) -2/3) 2.250 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) 2.250 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 2.250 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 2.250 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 2.250 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 2.250 * [taylor]: Taking taylor expansion of 1/3 in y 2.250 * [backup-simplify]: Simplify 1/3 into 1/3 2.250 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.250 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.250 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.250 * [taylor]: Taking taylor expansion of x in y 2.250 * [backup-simplify]: Simplify x into x 2.250 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.250 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.250 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.251 * [taylor]: Taking taylor expansion of y in y 2.251 * [backup-simplify]: Simplify 0 into 0 2.251 * [backup-simplify]: Simplify 1 into 1 2.251 * [backup-simplify]: Simplify (* 1 1) into 1 2.251 * [backup-simplify]: Simplify (/ 1 1) into 1 2.251 * [backup-simplify]: Simplify (+ 0 1) into 1 2.252 * [backup-simplify]: Simplify (log 1) into 0 2.252 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 2.252 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y)) 2.252 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3) 2.252 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 2.252 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.252 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.252 * [taylor]: Taking taylor expansion of 1/3 in x 2.252 * [backup-simplify]: Simplify 1/3 into 1/3 2.252 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.252 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.252 * [taylor]: Taking taylor expansion of x in x 2.252 * [backup-simplify]: Simplify 0 into 0 2.252 * [backup-simplify]: Simplify 1 into 1 2.252 * [backup-simplify]: Simplify (* 1 1) into 1 2.253 * [backup-simplify]: Simplify (/ 1 1) into 1 2.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.253 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.253 * [taylor]: Taking taylor expansion of y in x 2.253 * [backup-simplify]: Simplify y into y 2.253 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.253 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.253 * [backup-simplify]: Simplify (+ 1 0) into 1 2.253 * [backup-simplify]: Simplify (log 1) into 0 2.254 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.254 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 2.254 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 2.254 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 2.254 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.254 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.254 * [taylor]: Taking taylor expansion of 1/3 in x 2.254 * [backup-simplify]: Simplify 1/3 into 1/3 2.254 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.254 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.254 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.254 * [taylor]: Taking taylor expansion of x in x 2.254 * [backup-simplify]: Simplify 0 into 0 2.254 * [backup-simplify]: Simplify 1 into 1 2.254 * [backup-simplify]: Simplify (* 1 1) into 1 2.254 * [backup-simplify]: Simplify (/ 1 1) into 1 2.255 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.255 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.255 * [taylor]: Taking taylor expansion of y in x 2.255 * [backup-simplify]: Simplify y into y 2.255 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.255 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.255 * [backup-simplify]: Simplify (+ 1 0) into 1 2.255 * [backup-simplify]: Simplify (log 1) into 0 2.256 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.256 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 2.256 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 2.256 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 2.256 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 2.256 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 2.256 * [taylor]: Taking taylor expansion of -2/3 in y 2.256 * [backup-simplify]: Simplify -2/3 into -2/3 2.256 * [taylor]: Taking taylor expansion of (log x) in y 2.256 * [taylor]: Taking taylor expansion of x in y 2.256 * [backup-simplify]: Simplify x into x 2.256 * [backup-simplify]: Simplify (log x) into (log x) 2.256 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x)) 2.256 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 2.256 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3) 2.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.257 * [backup-simplify]: Simplify (+ 0 0) into 0 2.258 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.258 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.259 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0 2.259 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.259 * [taylor]: Taking taylor expansion of 0 in y 2.259 * [backup-simplify]: Simplify 0 into 0 2.259 * [backup-simplify]: Simplify 0 into 0 2.260 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 2.260 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0 2.261 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.261 * [backup-simplify]: Simplify 0 into 0 2.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.262 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.263 * [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)) 2.263 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.264 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2))) 2.264 * [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)))) 2.264 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 2.264 * [taylor]: Taking taylor expansion of 1/3 in y 2.264 * [backup-simplify]: Simplify 1/3 into 1/3 2.264 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 2.264 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 2.264 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 2.264 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 2.264 * [taylor]: Taking taylor expansion of 1/3 in y 2.264 * [backup-simplify]: Simplify 1/3 into 1/3 2.264 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 2.264 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.265 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.265 * [taylor]: Taking taylor expansion of x in y 2.265 * [backup-simplify]: Simplify x into x 2.265 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.265 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.265 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2))) 2.265 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2)))) 2.265 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3) 2.265 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.265 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.265 * [taylor]: Taking taylor expansion of y in y 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify 1 into 1 2.265 * [backup-simplify]: Simplify (* 1 1) into 1 2.266 * [backup-simplify]: Simplify (/ 1 1) into 1 2.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.268 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.271 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0 2.272 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0 2.272 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.273 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 2.274 * [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 2.275 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0 2.276 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.276 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 2.277 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0 2.277 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3) 2.277 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0 2.277 * [backup-simplify]: Simplify 0 into 0 2.277 * [backup-simplify]: Simplify 0 into 0 2.279 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 2.279 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0 2.280 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.280 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.281 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.282 * [backup-simplify]: Simplify (+ 0 0) into 0 2.284 * [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 2.284 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.285 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 2.286 * [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 2.286 * [taylor]: Taking taylor expansion of 0 in y 2.286 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -2/3) into (pow (/ -1 x) -2/3) 2.286 * * * [progress]: simplifying candidates 2.287 * [simplify]: Simplifying: (log (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (exp (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (* (cbrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (cbrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))) (cbrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (* (* (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (sqrt (* (cbrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))) (cbrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))) (sqrt (cbrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (sqrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (sqrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (sqrt 1) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))) (sqrt (+ (pow (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) 3) (pow (* z z) 3))) (sqrt (+ (* (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))) (- (* (* z z) (* z z)) (* (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))) (sqrt (- (* (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))) (* (* z z) (* z z)))) (sqrt (- (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))) (/ 1 2) (sqrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (sqrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (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)))) z x (* -1 x) (+ (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) 2.288 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* (* (cbrt (+ (* h2 h2) (* h1 h1))) (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (+ (* h2 h2) (* h1 h1)))) (* h0 h0)))) (exp (sqrt (+ (* (* (cbrt (+ (* h2 h2) (* h1 h1))) (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (+ (* h2 h2) (* h1 h1)))) (* h0 h0)))) (* (cbrt (sqrt (+ (* (* (cbrt (+ (* h2 h2) (* h1 h1))) (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (+ (* h2 h2) (* h1 h1)))) (* h0 h0)))) (cbrt (sqrt (+ (* (* (cbrt (+ (* h2 h2) (* h1 h1))) (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (+ (* h2 h2) (* h1 h1)))) (* h0 h0))))) (cbrt (sqrt (+ (* (* (cbrt (+ (* h2 h2) (* h1 h1))) (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (+ (* h2 h2) (* h1 h1)))) (* h0 h0)))) (* (* (sqrt (+ (* (* (cbrt (+ (* h2 h2) (* h1 h1))) (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (+ (* h2 h2) (* h1 h1)))) (* h0 h0))) (sqrt (+ (* (* (cbrt (+ (* h2 h2) (* h1 h1))) (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (+ (* h2 h2) (* h1 h1)))) (* h0 h0)))) (sqrt (+ (* (* (cbrt (+ (* h2 h2) (* h1 h1))) (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (+ (* h2 h2) (* h1 h1)))) (* h0 h0)))) (sqrt (* (cbrt (+ (* (* (cbrt (+ (* h2 h2) (* h1 h1))) (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (+ (* h2 h2) (* h1 h1)))) (* h0 h0))) (cbrt (+ (* (* (cbrt (+ (* h2 h2) (* h1 h1))) (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (+ (* h2 h2) (* h1 h1)))) (* h0 h0))))) (sqrt (cbrt (+ (* (* (cbrt (+ (* h2 h2) (* h1 h1))) (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (+ (* h2 h2) (* h1 h1)))) (* h0 h0)))) (sqrt (sqrt (+ (* (* (cbrt (+ (* h2 h2) (* h1 h1))) (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (+ (* h2 h2) (* h1 h1)))) (* h0 h0)))) (sqrt (sqrt (+ (* (* (cbrt (+ (* h2 h2) (* h1 h1))) (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (+ (* h2 h2) (* h1 h1)))) (* h0 h0)))) (sqrt 1) (sqrt (+ (* (* (cbrt (+ (* h2 h2) (* h1 h1))) (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (+ (* h2 h2) (* h1 h1)))) (* h0 h0))) (sqrt (+ (pow (* (* (cbrt (+ (* h2 h2) (* h1 h1))) (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (+ (* h2 h2) (* h1 h1)))) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* (* (cbrt (+ (* h2 h2) (* h1 h1))) (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (+ (* h2 h2) (* h1 h1)))) (* (* (cbrt (+ (* h2 h2) (* h1 h1))) (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (+ (* h2 h2) (* h1 h1))))) (- (* (* h0 h0) (* h0 h0)) (* (* (* (cbrt (+ (* h2 h2) (* h1 h1))) (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (+ (* h2 h2) (* h1 h1)))) (* h0 h0))))) (sqrt (- (* (* (* (cbrt (+ (* h2 h2) (* h1 h1))) (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (+ (* h2 h2) (* h1 h1)))) (* (* (cbrt (+ (* h2 h2) (* h1 h1))) (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (+ (* h2 h2) (* h1 h1))))) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* (* (cbrt (+ (* h2 h2) (* h1 h1))) (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (+ (* h2 h2) (* h1 h1)))) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* (* (cbrt (+ (* h2 h2) (* h1 h1))) (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (+ (* h2 h2) (* h1 h1)))) (* h0 h0)))) (sqrt (sqrt (+ (* (* (cbrt (+ (* h2 h2) (* h1 h1))) (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (+ (* h2 h2) (* h1 h1)))) (* h0 h0)))) (log (cbrt (+ (* h2 h2) (* h1 h1)))) (exp (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (* (cbrt (+ (* h2 h2) (* h1 h1))) (cbrt (+ (* h2 h2) (* h1 h1))))) (cbrt (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (sqrt (+ (* h2 h2) (* h1 h1)))) (cbrt (sqrt (+ (* h2 h2) (* h1 h1)))) (cbrt 1) (cbrt (+ (* h2 h2) (* h1 h1))) (cbrt (+ (pow (* h2 h2) 3) (pow (* h1 h1) 3))) (cbrt (+ (* (* h2 h2) (* h2 h2)) (- (* (* h1 h1) (* h1 h1)) (* (* h2 h2) (* h1 h1))))) (cbrt (- (* (* h2 h2) (* h2 h2)) (* (* h1 h1) (* h1 h1)))) (cbrt (- (* h2 h2) (* h1 h1))) (* (cbrt (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (cbrt (+ (* h2 h2) (* h1 h1))))) (cbrt (cbrt (+ (* h2 h2) (* h1 h1)))) (* (* (cbrt (+ (* h2 h2) (* h1 h1))) (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (+ (* h2 h2) (* h1 h1)))) (sqrt (cbrt (+ (* h2 h2) (* h1 h1)))) (sqrt (cbrt (+ (* h2 h2) (* h1 h1)))) (log (cbrt (+ (* h2 h2) (* h1 h1)))) (exp (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (* (cbrt (+ (* h2 h2) (* h1 h1))) (cbrt (+ (* h2 h2) (* h1 h1))))) (cbrt (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (sqrt (+ (* h2 h2) (* h1 h1)))) (cbrt (sqrt (+ (* h2 h2) (* h1 h1)))) (cbrt 1) (cbrt (+ (* h2 h2) (* h1 h1))) (cbrt (+ (pow (* h2 h2) 3) (pow (* h1 h1) 3))) (cbrt (+ (* (* h2 h2) (* h2 h2)) (- (* (* h1 h1) (* h1 h1)) (* (* h2 h2) (* h1 h1))))) (cbrt (- (* (* h2 h2) (* h2 h2)) (* (* h1 h1) (* h1 h1)))) (cbrt (- (* h2 h2) (* h1 h1))) (* (cbrt (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (cbrt (+ (* h2 h2) (* h1 h1))))) (cbrt (cbrt (+ (* h2 h2) (* h1 h1)))) (* (* (cbrt (+ (* h2 h2) (* h1 h1))) (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (+ (* h2 h2) (* h1 h1)))) (sqrt (cbrt (+ (* h2 h2) (* h1 h1)))) (sqrt (cbrt (+ (* h2 h2) (* h1 h1)))) (log (cbrt (+ (* h2 h2) (* h1 h1)))) (exp (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (* (cbrt (+ (* h2 h2) (* h1 h1))) (cbrt (+ (* h2 h2) (* h1 h1))))) (cbrt (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (sqrt (+ (* h2 h2) (* h1 h1)))) (cbrt (sqrt (+ (* h2 h2) (* h1 h1)))) (cbrt 1) (cbrt (+ (* h2 h2) (* h1 h1))) (cbrt (+ (pow (* h2 h2) 3) (pow (* h1 h1) 3))) (cbrt (+ (* (* h2 h2) (* h2 h2)) (- (* (* h1 h1) (* h1 h1)) (* (* h2 h2) (* h1 h1))))) (cbrt (- (* (* h2 h2) (* h2 h2)) (* (* h1 h1) (* h1 h1)))) (cbrt (- (* h2 h2) (* h1 h1))) (* (cbrt (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (cbrt (+ (* h2 h2) (* h1 h1))))) (cbrt (cbrt (+ (* h2 h2) (* h1 h1)))) (* (* (cbrt (+ (* h2 h2) (* h1 h1))) (cbrt (+ (* h2 h2) (* h1 h1)))) (cbrt (+ (* h2 h2) (* h1 h1)))) (sqrt (cbrt (+ (* h2 h2) (* h1 h1)))) (sqrt (cbrt (+ (* h2 h2) (* h1 h1)))) h0 h2 (* -1 h2) (+ (pow h1 h4) (* h3 (* (pow h2 2) (pow (/ 1 (pow h1 4)) h3)))) (pow (/ 1 h2) h5) (pow (/ -1 h2) h5) (+ (pow h1 h4) (* h3 (* (pow h2 2) (pow (/ 1 (pow h1 4)) h3)))) (pow (/ 1 h2) h5) (pow (/ -1 h2) h5) (+ (pow h1 h4) (* h3 (* (pow h2 2) (pow (/ 1 (pow h1 4)) h3)))) (pow (/ 1 h2) h5) (pow (/ -1 h2) h5) 3.025 * * * [progress]: adding candidates to table 3.273 * * [progress]: iteration 3 / 4 3.273 * * * [progress]: picking best candidate 3.277 * * * * [pick]: Picked # 3.277 * * * [progress]: localizing error 3.279 * * * [progress]: generating rewritten candidates 3.279 * * * [progress]: generating series expansions 3.279 * * * [progress]: simplifying candidates 3.279 * [simplify]: Simplifying: 3.279 * [simplify]: Sending expressions to egg_math: 3.290 * * * [progress]: adding candidates to table 3.290 * * [progress]: iteration 4 / 4 3.290 * * * [progress]: picking best candidate 3.292 * * * * [pick]: Picked # 3.292 * * * [progress]: localizing error 3.293 * * * [progress]: generating rewritten candidates 3.293 * * * [progress]: generating series expansions 3.293 * * * [progress]: simplifying candidates 3.293 * [simplify]: Simplifying: 3.293 * [simplify]: Sending expressions to egg_math: 3.305 * * * [progress]: adding candidates to table 3.305 * [progress]: [Phase 3 of 3] Extracting. 3.305 * * [regime]: Finding splitpoints for: (# # # # #) 3.306 * * * [regime-changes]: Trying 9 branch expressions: ((* z z) (* y y) (* x x) (+ (* x x) (* y y)) (+ (+ (* x x) (* y y)) (* z z)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) z y x) 3.306 * * * * [regimes]: Trying to branch on (* z z) from (# # # # #) 3.328 * * * * [regimes]: Trying to branch on (* z z) from (# # # #) 3.349 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 3.371 * * * * [regimes]: Trying to branch on (* x x) from (# # # # #) 3.402 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 3.419 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # # #) 3.452 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # #) 3.474 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (# # # # #) 3.497 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (# # # # #) 3.527 * * * * [regimes]: Trying to branch on z from (# # # # #) 3.557 * * * * [regimes]: Trying to branch on y from (# # # # #) 3.593 * * * * [regimes]: Trying to branch on x from (# # # # #) 3.636 * * * [regime]: Found split indices: #