26.093 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.019 * [simplify]: Sending expressions to egg_math: (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) 0.022 * * [simplify]: iteration 0 : 13 enodes (cost 6 ) 0.023 * * [simplify]: iteration 1 : 20 enodes (cost 6 ) 0.025 * * [simplify]: iteration 2 : 22 enodes (cost 6 ) 0.026 * * [simplify]: iteration 3 : 22 enodes (cost 6 ) 0.026 * [simplify]: Simplified to: (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.027 * * [progress]: iteration 1 / 4 0.027 * * * [progress]: picking best candidate 0.029 * * * * [pick]: Picked # 0.029 * * * [progress]: localizing error 0.037 * * * [progress]: generating rewritten candidates 0.037 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.065 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.097 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.105 * * * [progress]: generating series expansions 0.105 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.105 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.105 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.105 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.105 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.105 * [taylor]: Taking taylor expansion of x in z 0.105 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.105 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.105 * [taylor]: Taking taylor expansion of y in z 0.105 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.106 * [taylor]: Taking taylor expansion of z in z 0.107 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.107 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.107 * [taylor]: Taking taylor expansion of x in y 0.107 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.107 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.107 * [taylor]: Taking taylor expansion of z in y 0.108 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.108 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.108 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.108 * [taylor]: Taking taylor expansion of z in x 0.110 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.110 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.110 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.110 * [taylor]: Taking taylor expansion of z in x 0.111 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.111 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.111 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.111 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.111 * [taylor]: Taking taylor expansion of z in y 0.111 * [taylor]: Taking taylor expansion of z in z 0.111 * [taylor]: Taking taylor expansion of 0 in y 0.112 * [taylor]: Taking taylor expansion of 0 in z 0.112 * [taylor]: Taking taylor expansion of 0 in z 0.113 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.114 * [taylor]: Taking taylor expansion of 1/2 in y 0.114 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.114 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.114 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.114 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.114 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.114 * [taylor]: Taking taylor expansion of z in y 0.114 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.114 * [taylor]: Taking taylor expansion of 1/2 in z 0.114 * [taylor]: Taking taylor expansion of z in z 0.115 * [taylor]: Taking taylor expansion of 0 in z 0.116 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.116 * [taylor]: Taking taylor expansion of 1/2 in z 0.116 * [taylor]: Taking taylor expansion of z in z 0.117 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.117 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.117 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.118 * [taylor]: Taking taylor expansion of x in z 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.118 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.118 * [taylor]: Taking taylor expansion of z in z 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.118 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.118 * [taylor]: Taking taylor expansion of y in z 0.120 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.120 * [taylor]: Taking taylor expansion of x in y 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.121 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.121 * [taylor]: Taking taylor expansion of z in y 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.121 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.121 * [taylor]: Taking taylor expansion of y in y 0.123 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.124 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.124 * [taylor]: Taking taylor expansion of z in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.124 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.124 * [taylor]: Taking taylor expansion of y in x 0.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.126 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.126 * [taylor]: Taking taylor expansion of z in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.126 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.126 * [taylor]: Taking taylor expansion of y in x 0.128 * [taylor]: Taking taylor expansion of 1 in y 0.128 * [taylor]: Taking taylor expansion of 0 in y 0.128 * [taylor]: Taking taylor expansion of 1 in z 0.131 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.131 * [taylor]: Taking taylor expansion of 1/2 in y 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.131 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.131 * [taylor]: Taking taylor expansion of z in y 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.131 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.131 * [taylor]: Taking taylor expansion of y in y 0.133 * [taylor]: Taking taylor expansion of 0 in z 0.133 * [taylor]: Taking taylor expansion of 0 in z 0.133 * [taylor]: Taking taylor expansion of 0 in z 0.135 * [taylor]: Taking taylor expansion of 0 in y 0.137 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.137 * [taylor]: Taking taylor expansion of 1/2 in z 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.137 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.137 * [taylor]: Taking taylor expansion of z in z 0.138 * [taylor]: Taking taylor expansion of 0 in z 0.138 * [taylor]: Taking taylor expansion of 0 in z 0.142 * [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 0.142 * [taylor]: Taking taylor expansion of -1/2 in y 0.142 * [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 0.142 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.142 * [taylor]: Taking taylor expansion of 1/4 in y 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.142 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.142 * [taylor]: Taking taylor expansion of z in y 0.142 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.142 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.142 * [taylor]: Taking taylor expansion of 1/2 in y 0.142 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.142 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.142 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.142 * [taylor]: Taking taylor expansion of z in y 0.142 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.143 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.143 * [taylor]: Taking taylor expansion of 1/4 in y 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.143 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.143 * [taylor]: Taking taylor expansion of y in y 0.157 * [taylor]: Taking taylor expansion of 0 in z 0.157 * [taylor]: Taking taylor expansion of 0 in z 0.159 * [taylor]: Taking taylor expansion of 0 in z 0.159 * [taylor]: Taking taylor expansion of 0 in z 0.159 * [taylor]: Taking taylor expansion of 0 in z 0.161 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.161 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.161 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.161 * [taylor]: Taking taylor expansion of x in z 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.161 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.161 * [taylor]: Taking taylor expansion of z in z 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.162 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.162 * [taylor]: Taking taylor expansion of y in z 0.164 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.164 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.164 * [taylor]: Taking taylor expansion of x in y 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.164 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.164 * [taylor]: Taking taylor expansion of z in y 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.164 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.164 * [taylor]: Taking taylor expansion of y in y 0.167 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.167 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.167 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.167 * [taylor]: Taking taylor expansion of z in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.168 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.168 * [taylor]: Taking taylor expansion of y in x 0.169 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.170 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.170 * [taylor]: Taking taylor expansion of z in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.170 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.170 * [taylor]: Taking taylor expansion of y in x 0.172 * [taylor]: Taking taylor expansion of 1 in y 0.172 * [taylor]: Taking taylor expansion of 0 in y 0.172 * [taylor]: Taking taylor expansion of 1 in z 0.174 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.174 * [taylor]: Taking taylor expansion of 1/2 in y 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.174 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.174 * [taylor]: Taking taylor expansion of z in y 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.174 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.174 * [taylor]: Taking taylor expansion of y in y 0.176 * [taylor]: Taking taylor expansion of 0 in z 0.176 * [taylor]: Taking taylor expansion of 0 in z 0.176 * [taylor]: Taking taylor expansion of 0 in z 0.178 * [taylor]: Taking taylor expansion of 0 in y 0.180 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.180 * [taylor]: Taking taylor expansion of 1/2 in z 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.180 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.180 * [taylor]: Taking taylor expansion of z in z 0.181 * [taylor]: Taking taylor expansion of 0 in z 0.182 * [taylor]: Taking taylor expansion of 0 in z 0.185 * [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 0.185 * [taylor]: Taking taylor expansion of -1/2 in y 0.185 * [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 0.185 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.185 * [taylor]: Taking taylor expansion of 1/4 in y 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.185 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.185 * [taylor]: Taking taylor expansion of z in y 0.185 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.185 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.185 * [taylor]: Taking taylor expansion of 1/2 in y 0.185 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.185 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.185 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.185 * [taylor]: Taking taylor expansion of z in y 0.185 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.185 * [taylor]: Taking taylor expansion of y in y 0.186 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.186 * [taylor]: Taking taylor expansion of 1/4 in y 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.186 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.186 * [taylor]: Taking taylor expansion of y in y 0.195 * [taylor]: Taking taylor expansion of 0 in z 0.196 * [taylor]: Taking taylor expansion of 0 in z 0.198 * [taylor]: Taking taylor expansion of 0 in z 0.198 * [taylor]: Taking taylor expansion of 0 in z 0.198 * [taylor]: Taking taylor expansion of 0 in z 0.199 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.199 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in (x y z) around 0 0.199 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.199 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.199 * [taylor]: Taking taylor expansion of x in z 0.199 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.199 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.199 * [taylor]: Taking taylor expansion of y in z 0.199 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.199 * [taylor]: Taking taylor expansion of z in z 0.199 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.200 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.200 * [taylor]: Taking taylor expansion of x in y 0.200 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.200 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.200 * [taylor]: Taking taylor expansion of y in y 0.200 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.200 * [taylor]: Taking taylor expansion of z in y 0.200 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.200 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.200 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.200 * [taylor]: Taking taylor expansion of y in x 0.200 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.200 * [taylor]: Taking taylor expansion of z in x 0.200 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.200 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.200 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.200 * [taylor]: Taking taylor expansion of y in x 0.200 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.200 * [taylor]: Taking taylor expansion of z in x 0.200 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.200 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.200 * [taylor]: Taking taylor expansion of y in y 0.200 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.200 * [taylor]: Taking taylor expansion of z in y 0.200 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.200 * [taylor]: Taking taylor expansion of z in z 0.201 * [taylor]: Taking taylor expansion of 0 in y 0.201 * [taylor]: Taking taylor expansion of 0 in z 0.201 * [taylor]: Taking taylor expansion of 0 in z 0.202 * [taylor]: Taking taylor expansion of 1 in y 0.202 * [taylor]: Taking taylor expansion of 1 in z 0.202 * [taylor]: Taking taylor expansion of 0 in z 0.203 * [taylor]: Taking taylor expansion of 1 in z 0.204 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.204 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.204 * [taylor]: Taking taylor expansion of x in z 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.204 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.204 * [taylor]: Taking taylor expansion of z in z 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.205 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.205 * [taylor]: Taking taylor expansion of y in z 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.205 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.205 * [taylor]: Taking taylor expansion of x in y 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.205 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.205 * [taylor]: Taking taylor expansion of z in y 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.205 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.206 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.206 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.206 * [taylor]: Taking taylor expansion of z in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.206 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.206 * [taylor]: Taking taylor expansion of y in x 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.207 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.207 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.207 * [taylor]: Taking taylor expansion of z in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.207 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.207 * [taylor]: Taking taylor expansion of y in x 0.208 * [taylor]: Taking taylor expansion of 1 in y 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow z 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 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.211 * [taylor]: Taking taylor expansion of 1 in z 0.211 * [taylor]: Taking taylor expansion of 1 in z 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.213 * [taylor]: Taking taylor expansion of 0 in z 0.213 * [taylor]: Taking taylor expansion of 0 in z 0.213 * [taylor]: Taking taylor expansion of 0 in z 0.216 * [taylor]: Taking taylor expansion of 0 in y 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.217 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.217 * [taylor]: Taking taylor expansion of z in z 0.217 * [taylor]: Taking taylor expansion of 0 in z 0.217 * [taylor]: Taking taylor expansion of 0 in z 0.218 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.218 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.218 * [taylor]: Taking taylor expansion of x in z 0.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.218 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.218 * [taylor]: Taking taylor expansion of z in z 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.219 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.219 * [taylor]: Taking taylor expansion of y in z 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.219 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.219 * [taylor]: Taking taylor expansion of x in y 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.219 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.219 * [taylor]: Taking taylor expansion of z in y 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.219 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.219 * [taylor]: Taking taylor expansion of y in y 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.220 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.220 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.220 * [taylor]: Taking taylor expansion of z in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.220 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.220 * [taylor]: Taking taylor expansion of y in x 0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.221 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.221 * [taylor]: Taking taylor expansion of z in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.221 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.221 * [taylor]: Taking taylor expansion of y in x 0.222 * [taylor]: Taking taylor expansion of 1 in y 0.222 * [taylor]: Taking taylor expansion of 0 in y 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.224 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.224 * [taylor]: Taking taylor expansion of z in y 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.224 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.224 * [taylor]: Taking taylor expansion of y in y 0.225 * [taylor]: Taking taylor expansion of 1 in z 0.225 * [taylor]: Taking taylor expansion of 1 in z 0.226 * [taylor]: Taking taylor expansion of 0 in y 0.227 * [taylor]: Taking taylor expansion of 0 in z 0.227 * [taylor]: Taking taylor expansion of 0 in z 0.227 * [taylor]: Taking taylor expansion of 0 in z 0.230 * [taylor]: Taking taylor expansion of 0 in y 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.231 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.231 * [taylor]: Taking taylor expansion of z in z 0.231 * [taylor]: Taking taylor expansion of 0 in z 0.231 * [taylor]: Taking taylor expansion of 0 in z 0.232 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.232 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.232 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.232 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.232 * [taylor]: Taking taylor expansion of x in y 0.232 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.232 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.232 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.232 * [taylor]: Taking taylor expansion of y in x 0.232 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.232 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.232 * [taylor]: Taking taylor expansion of y in x 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.233 * [taylor]: Taking taylor expansion of 0 in y 0.234 * [taylor]: Taking taylor expansion of 1 in y 0.235 * [taylor]: Taking taylor expansion of 0 in y 0.242 * [taylor]: Taking taylor expansion of 0 in y 0.242 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.242 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.242 * [taylor]: Taking taylor expansion of x in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.242 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 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 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.243 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.243 * [taylor]: Taking taylor expansion of y in x 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.244 * [taylor]: Taking taylor expansion of x in x 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 * [taylor]: Taking taylor expansion of 1 in y 0.245 * [taylor]: Taking taylor expansion of 0 in y 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.246 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.248 * [taylor]: Taking taylor expansion of 0 in y 0.251 * [taylor]: Taking taylor expansion of 0 in y 0.252 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.252 * [taylor]: Taking taylor expansion of x in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.252 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.253 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.253 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.253 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.254 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.254 * [taylor]: Taking taylor expansion of y in x 0.254 * [taylor]: Taking taylor expansion of 1 in y 0.255 * [taylor]: Taking taylor expansion of 0 in y 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 0.258 * [taylor]: Taking taylor expansion of 0 in y 0.260 * [taylor]: Taking taylor expansion of 0 in y 0.261 * * * [progress]: simplifying candidates 0.262 * [simplify]: Simplifying using # : (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))) (exp (* z z))) (* (exp (+ (* x x) (* y y))) (exp (* z z))) (log (+ (+ (* x x) (* y y)) (* z z))) (exp (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (+ (+ (* x x) (* y y)) (* z z))) (* (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))) (- (+ (* x x) (* y y)) (* z z)) (+ (* 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 z 2))) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.262 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (exp (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (* (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))))) (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (* (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (* (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))))) (sqrt (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt 1) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (+ (pow (+ (* h0 h0) (* h1 h1)) 3) (pow (* h2 h2) 3))) (sqrt (+ (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (- (* (* h2 h2) (* h2 h2)) (* (+ (* h0 h0) (* h1 h1)) (* h2 h2))))) (sqrt (- (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (* (* h2 h2) (* h2 h2)))) (sqrt (- (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (/ 1 2) (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (* (* (exp (* h0 h0)) (exp (* h1 h1))) (exp (* h2 h2))) (* (exp (+ (* h0 h0) (* h1 h1))) (exp (* h2 h2))) (log (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (exp (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (* (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (* (* (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (+ (pow (+ (* h0 h0) (* h1 h1)) 3) (pow (* h2 h2) 3)) (+ (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (- (* (* h2 h2) (* h2 h2)) (* (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (- (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (* (* h2 h2) (* h2 h2))) (- (+ (* h0 h0) (* h1 h1)) (* h2 h2)) (+ (* h1 h1) (* h2 h2)) (* (exp (* h0 h0)) (exp (* h1 h1))) (log (+ (* h0 h0) (* h1 h1))) (exp (+ (* h0 h0) (* h1 h1))) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1))) (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (- (* h0 h0) (* h1 h1)) h2 h0 (* -1 h0) (+ (pow h0 2) (+ (pow h1 2) (pow h2 2))) (+ (pow h0 2) (+ (pow h1 2) (pow h2 2))) (+ (pow h0 2) (+ (pow h1 2) (pow h2 2))) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) 0.266 * * [simplify]: iteration 0 : 209 enodes (cost 340 ) 0.271 * * [simplify]: iteration 1 : 959 enodes (cost 320 ) 0.285 * * [simplify]: iteration 2 : 3316 enodes (cost 316 ) 0.350 * * [simplify]: iteration 3 : 5001 enodes (cost 315 ) 0.351 * [simplify]: Simplified to: (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)))) (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3) (fabs (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)))) 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) (* y y)) (* z z))) (exp (+ (+ (* x x) (* y y)) (* z z))) (log (+ (+ (* x x) (* y y)) (* z z))) (exp (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (+ (+ (* x x) (* y y)) (* z z))) (pow (+ (+ (* x x) (* y y)) (* z z)) 3) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)) (+ (* (+ (pow x 2) (pow y 2)) (- (+ (* x x) (* y y)) (* z z))) (pow z 4)) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))) (- (+ (* x x) (* y y)) (* z z)) (+ (pow y 2) (pow z 2)) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)) z x (* -1 x) (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.352 * * * [progress]: adding candidates to table 0.465 * * [progress]: iteration 2 / 4 0.465 * * * [progress]: picking best candidate 0.470 * * * * [pick]: Picked # 0.470 * * * [progress]: localizing error 0.482 * * * [progress]: generating rewritten candidates 0.482 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.595 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 0.600 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2) 0.605 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 0.612 * * * [progress]: generating series expansions 0.612 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.612 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.612 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.612 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.612 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.612 * [taylor]: Taking taylor expansion of x in z 0.612 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.612 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.612 * [taylor]: Taking taylor expansion of y in z 0.613 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.613 * [taylor]: Taking taylor expansion of z in z 0.614 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.614 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.614 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.614 * [taylor]: Taking taylor expansion of x in y 0.614 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.614 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.614 * [taylor]: Taking taylor expansion of y in y 0.614 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.614 * [taylor]: Taking taylor expansion of z in y 0.615 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.615 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.615 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.615 * [taylor]: Taking taylor expansion of x in x 0.615 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.615 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.615 * [taylor]: Taking taylor expansion of y in x 0.615 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.615 * [taylor]: Taking taylor expansion of z in x 0.616 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.616 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.616 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.616 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.616 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.616 * [taylor]: Taking taylor expansion of y in x 0.616 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.616 * [taylor]: Taking taylor expansion of z in x 0.617 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.617 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.617 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.617 * [taylor]: Taking taylor expansion of y in y 0.617 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.617 * [taylor]: Taking taylor expansion of z in y 0.618 * [taylor]: Taking taylor expansion of z in z 0.618 * [taylor]: Taking taylor expansion of 0 in y 0.618 * [taylor]: Taking taylor expansion of 0 in z 0.618 * [taylor]: Taking taylor expansion of 0 in z 0.620 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.620 * [taylor]: Taking taylor expansion of 1/2 in y 0.620 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.620 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.620 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.620 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.620 * [taylor]: Taking taylor expansion of y in y 0.620 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.620 * [taylor]: Taking taylor expansion of z in y 0.621 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.621 * [taylor]: Taking taylor expansion of 1/2 in z 0.621 * [taylor]: Taking taylor expansion of z in z 0.621 * [taylor]: Taking taylor expansion of 0 in z 0.622 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.622 * [taylor]: Taking taylor expansion of 1/2 in z 0.622 * [taylor]: Taking taylor expansion of z in z 0.624 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.624 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.624 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.624 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.624 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.624 * [taylor]: Taking taylor expansion of x in z 0.624 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.624 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.624 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.624 * [taylor]: Taking taylor expansion of z in z 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.625 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.625 * [taylor]: Taking taylor expansion of y in z 0.627 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.627 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.627 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.627 * [taylor]: Taking taylor expansion of x in y 0.627 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.627 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.627 * [taylor]: Taking taylor expansion of z in y 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.627 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.627 * [taylor]: Taking taylor expansion of y in y 0.630 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.630 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.630 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.630 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.630 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.630 * [taylor]: Taking taylor expansion of z in x 0.630 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.630 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.630 * [taylor]: Taking taylor expansion of y in x 0.632 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.632 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.632 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.632 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.632 * [taylor]: Taking taylor expansion of x in x 0.633 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.633 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.633 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.633 * [taylor]: Taking taylor expansion of z in x 0.633 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.633 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.633 * [taylor]: Taking taylor expansion of y in x 0.635 * [taylor]: Taking taylor expansion of 1 in y 0.635 * [taylor]: Taking taylor expansion of 0 in y 0.635 * [taylor]: Taking taylor expansion of 1 in z 0.637 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.637 * [taylor]: Taking taylor expansion of 1/2 in y 0.637 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.637 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.637 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.637 * [taylor]: Taking taylor expansion of z in y 0.637 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.637 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.637 * [taylor]: Taking taylor expansion of y in y 0.639 * [taylor]: Taking taylor expansion of 0 in z 0.639 * [taylor]: Taking taylor expansion of 0 in z 0.639 * [taylor]: Taking taylor expansion of 0 in z 0.641 * [taylor]: Taking taylor expansion of 0 in y 0.642 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.642 * [taylor]: Taking taylor expansion of 1/2 in z 0.642 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.642 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.642 * [taylor]: Taking taylor expansion of z in z 0.644 * [taylor]: Taking taylor expansion of 0 in z 0.644 * [taylor]: Taking taylor expansion of 0 in z 0.647 * [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 0.647 * [taylor]: Taking taylor expansion of -1/2 in y 0.647 * [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 0.647 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.647 * [taylor]: Taking taylor expansion of 1/4 in y 0.647 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.647 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.647 * [taylor]: Taking taylor expansion of z in y 0.648 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.648 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.648 * [taylor]: Taking taylor expansion of 1/2 in y 0.648 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.648 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.648 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.648 * [taylor]: Taking taylor expansion of z in y 0.648 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.648 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.648 * [taylor]: Taking taylor expansion of 1/4 in y 0.648 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.648 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.658 * [taylor]: Taking taylor expansion of 0 in z 0.658 * [taylor]: Taking taylor expansion of 0 in z 0.660 * [taylor]: Taking taylor expansion of 0 in z 0.660 * [taylor]: Taking taylor expansion of 0 in z 0.660 * [taylor]: Taking taylor expansion of 0 in z 0.662 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.662 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.662 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.662 * [taylor]: Taking taylor expansion of x in z 0.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.662 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.662 * [taylor]: Taking taylor expansion of z in z 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.662 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.662 * [taylor]: Taking taylor expansion of y in z 0.665 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.665 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.665 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.665 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.665 * [taylor]: Taking taylor expansion of x in y 0.665 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.665 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.665 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.665 * [taylor]: Taking taylor expansion of z in y 0.665 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.665 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.665 * [taylor]: Taking taylor expansion of y in y 0.667 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.667 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.667 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.667 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.668 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.668 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.668 * [taylor]: Taking taylor expansion of z in x 0.668 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.668 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.668 * [taylor]: Taking taylor expansion of y in x 0.670 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.670 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.670 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.670 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.670 * [taylor]: Taking taylor expansion of x in x 0.670 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.670 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.670 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.670 * [taylor]: Taking taylor expansion of z in x 0.670 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.670 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.671 * [taylor]: Taking taylor expansion of y in x 0.672 * [taylor]: Taking taylor expansion of 1 in y 0.672 * [taylor]: Taking taylor expansion of 0 in y 0.672 * [taylor]: Taking taylor expansion of 1 in z 0.674 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.674 * [taylor]: Taking taylor expansion of 1/2 in y 0.674 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.674 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.674 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.674 * [taylor]: Taking taylor expansion of z in y 0.675 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.675 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.675 * [taylor]: Taking taylor expansion of y in y 0.676 * [taylor]: Taking taylor expansion of 0 in z 0.676 * [taylor]: Taking taylor expansion of 0 in z 0.676 * [taylor]: Taking taylor expansion of 0 in z 0.679 * [taylor]: Taking taylor expansion of 0 in y 0.680 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.680 * [taylor]: Taking taylor expansion of 1/2 in z 0.680 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.680 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.680 * [taylor]: Taking taylor expansion of z in z 0.681 * [taylor]: Taking taylor expansion of 0 in z 0.682 * [taylor]: Taking taylor expansion of 0 in z 0.685 * [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 0.685 * [taylor]: Taking taylor expansion of -1/2 in y 0.685 * [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 0.685 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.685 * [taylor]: Taking taylor expansion of 1/4 in y 0.685 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.685 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.685 * [taylor]: Taking taylor expansion of z in y 0.685 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.685 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.685 * [taylor]: Taking taylor expansion of 1/2 in y 0.685 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.685 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.685 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.685 * [taylor]: Taking taylor expansion of z in y 0.685 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.685 * [taylor]: Taking taylor expansion of y in y 0.686 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.686 * [taylor]: Taking taylor expansion of 1/4 in y 0.686 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.686 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.686 * [taylor]: Taking taylor expansion of y in y 0.700 * [taylor]: Taking taylor expansion of 0 in z 0.700 * [taylor]: Taking taylor expansion of 0 in z 0.702 * [taylor]: Taking taylor expansion of 0 in z 0.702 * [taylor]: Taking taylor expansion of 0 in z 0.702 * [taylor]: Taking taylor expansion of 0 in z 0.703 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 0.703 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 0.704 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 0.704 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 0.704 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 0.704 * [taylor]: Taking taylor expansion of 1/3 in y 0.704 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 0.704 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.704 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.704 * [taylor]: Taking taylor expansion of x in y 0.704 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.704 * [taylor]: Taking taylor expansion of y in y 0.704 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.704 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.704 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.704 * [taylor]: Taking taylor expansion of 1/3 in x 0.704 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.704 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.704 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.704 * [taylor]: Taking taylor expansion of y in x 0.704 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.704 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.704 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.704 * [taylor]: Taking taylor expansion of 1/3 in x 0.704 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.705 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.705 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.705 * [taylor]: Taking taylor expansion of x in x 0.705 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.705 * [taylor]: Taking taylor expansion of y in x 0.705 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 0.705 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 0.705 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 0.705 * [taylor]: Taking taylor expansion of 1/3 in y 0.705 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.705 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.705 * [taylor]: Taking taylor expansion of y in y 0.707 * [taylor]: Taking taylor expansion of 0 in y 0.712 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 0.712 * [taylor]: Taking taylor expansion of 1/3 in y 0.712 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 0.712 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 0.712 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 0.712 * [taylor]: Taking taylor expansion of 1/3 in y 0.712 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 0.712 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.712 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.712 * [taylor]: Taking taylor expansion of y in y 0.721 * [taylor]: Taking taylor expansion of 0 in y 0.728 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.729 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.729 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.729 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.729 * [taylor]: Taking taylor expansion of 1/3 in y 0.729 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.729 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.729 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.729 * [taylor]: Taking taylor expansion of x in y 0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.729 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.729 * [taylor]: Taking taylor expansion of y in y 0.730 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.730 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.730 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.730 * [taylor]: Taking taylor expansion of 1/3 in x 0.730 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.730 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.730 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.730 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.731 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.731 * [taylor]: Taking taylor expansion of y in x 0.731 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.731 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.731 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.731 * [taylor]: Taking taylor expansion of 1/3 in x 0.731 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.732 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.732 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.732 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.732 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.732 * [taylor]: Taking taylor expansion of y in x 0.733 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.733 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.733 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.733 * [taylor]: Taking taylor expansion of -2/3 in y 0.733 * [taylor]: Taking taylor expansion of (log x) in y 0.733 * [taylor]: Taking taylor expansion of x in y 0.736 * [taylor]: Taking taylor expansion of 0 in y 0.740 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.740 * [taylor]: Taking taylor expansion of 1/3 in y 0.740 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.740 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.740 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.740 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.740 * [taylor]: Taking taylor expansion of 1/3 in y 0.740 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.740 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.740 * [taylor]: Taking taylor expansion of x in y 0.741 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.741 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.741 * [taylor]: Taking taylor expansion of y in y 0.756 * [taylor]: Taking taylor expansion of 0 in y 0.756 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.756 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.756 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.756 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.756 * [taylor]: Taking taylor expansion of 1/3 in y 0.756 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.756 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.756 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.756 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.756 * [taylor]: Taking taylor expansion of x in y 0.756 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.756 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.756 * [taylor]: Taking taylor expansion of y in y 0.758 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.758 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.758 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.758 * [taylor]: Taking taylor expansion of 1/3 in x 0.758 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.758 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.758 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.758 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.758 * [taylor]: Taking taylor expansion of y in x 0.759 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.759 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.759 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.759 * [taylor]: Taking taylor expansion of 1/3 in x 0.759 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.759 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.759 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.759 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.759 * [taylor]: Taking taylor expansion of x in x 0.760 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.760 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.760 * [taylor]: Taking taylor expansion of y in x 0.760 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.761 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.761 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.761 * [taylor]: Taking taylor expansion of -2/3 in y 0.761 * [taylor]: Taking taylor expansion of (log x) in y 0.761 * [taylor]: Taking taylor expansion of x in y 0.763 * [taylor]: Taking taylor expansion of 0 in y 0.767 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.768 * [taylor]: Taking taylor expansion of 1/3 in y 0.768 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.768 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.768 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.768 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.768 * [taylor]: Taking taylor expansion of 1/3 in y 0.768 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.768 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.768 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.768 * [taylor]: Taking taylor expansion of x in y 0.768 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.768 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.768 * [taylor]: Taking taylor expansion of y in y 0.788 * [taylor]: Taking taylor expansion of 0 in y 0.788 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2) 0.789 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 0.789 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 0.789 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 0.789 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 0.789 * [taylor]: Taking taylor expansion of 1/3 in y 0.789 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 0.789 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.789 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.789 * [taylor]: Taking taylor expansion of x in y 0.789 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.789 * [taylor]: Taking taylor expansion of y in y 0.789 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.789 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.789 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.789 * [taylor]: Taking taylor expansion of 1/3 in x 0.789 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.789 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.789 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.789 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.789 * [taylor]: Taking taylor expansion of y in x 0.790 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.790 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.790 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.790 * [taylor]: Taking taylor expansion of 1/3 in x 0.790 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.790 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.790 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.790 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.790 * [taylor]: Taking taylor expansion of y in x 0.790 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 0.790 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 0.790 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 0.790 * [taylor]: Taking taylor expansion of 1/3 in y 0.790 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.790 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.790 * [taylor]: Taking taylor expansion of y in y 0.792 * [taylor]: Taking taylor expansion of 0 in y 0.797 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 0.797 * [taylor]: Taking taylor expansion of 1/3 in y 0.797 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 0.797 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 0.797 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 0.797 * [taylor]: Taking taylor expansion of 1/3 in y 0.797 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 0.797 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.797 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.797 * [taylor]: Taking taylor expansion of y in y 0.806 * [taylor]: Taking taylor expansion of 0 in y 0.814 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.814 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.814 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.814 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.814 * [taylor]: Taking taylor expansion of 1/3 in y 0.814 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.814 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.814 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.814 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.814 * [taylor]: Taking taylor expansion of x in y 0.815 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.815 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.815 * [taylor]: Taking taylor expansion of y in y 0.816 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.816 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.816 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.816 * [taylor]: Taking taylor expansion of 1/3 in x 0.816 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.816 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.816 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.816 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.816 * [taylor]: Taking taylor expansion of y in x 0.817 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.817 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.817 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.817 * [taylor]: Taking taylor expansion of 1/3 in x 0.817 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.817 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.817 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.817 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.817 * [taylor]: Taking taylor expansion of x in x 0.818 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.818 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.818 * [taylor]: Taking taylor expansion of y in x 0.819 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.819 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.819 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.819 * [taylor]: Taking taylor expansion of -2/3 in y 0.819 * [taylor]: Taking taylor expansion of (log x) in y 0.819 * [taylor]: Taking taylor expansion of x in y 0.821 * [taylor]: Taking taylor expansion of 0 in y 0.826 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.826 * [taylor]: Taking taylor expansion of 1/3 in y 0.826 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.826 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.826 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.826 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.826 * [taylor]: Taking taylor expansion of 1/3 in y 0.826 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.826 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.826 * [taylor]: Taking taylor expansion of x in y 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.826 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.826 * [taylor]: Taking taylor expansion of y in y 0.841 * [taylor]: Taking taylor expansion of 0 in y 0.841 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.841 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.841 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.841 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.841 * [taylor]: Taking taylor expansion of 1/3 in y 0.841 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.841 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.841 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.841 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.841 * [taylor]: Taking taylor expansion of x in y 0.841 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.841 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.841 * [taylor]: Taking taylor expansion of y in y 0.843 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.843 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.843 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.843 * [taylor]: Taking taylor expansion of 1/3 in x 0.843 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.843 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.843 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.843 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.843 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.843 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.843 * [taylor]: Taking taylor expansion of y in x 0.844 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.844 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.844 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.844 * [taylor]: Taking taylor expansion of 1/3 in x 0.844 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.844 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.844 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.844 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.844 * [taylor]: Taking taylor expansion of x in x 0.845 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.845 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.845 * [taylor]: Taking taylor expansion of y in x 0.846 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.846 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.846 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.846 * [taylor]: Taking taylor expansion of -2/3 in y 0.846 * [taylor]: Taking taylor expansion of (log x) in y 0.846 * [taylor]: Taking taylor expansion of x in y 0.848 * [taylor]: Taking taylor expansion of 0 in y 0.853 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.853 * [taylor]: Taking taylor expansion of 1/3 in y 0.853 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.853 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.853 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.853 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.853 * [taylor]: Taking taylor expansion of 1/3 in y 0.853 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.853 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.853 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.853 * [taylor]: Taking taylor expansion of x in y 0.854 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.854 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.854 * [taylor]: Taking taylor expansion of y in y 0.874 * [taylor]: Taking taylor expansion of 0 in y 0.874 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 0.874 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 0.874 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 0.874 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 0.874 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 0.874 * [taylor]: Taking taylor expansion of 1/3 in y 0.874 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 0.874 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.874 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.874 * [taylor]: Taking taylor expansion of x in y 0.874 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.874 * [taylor]: Taking taylor expansion of y in y 0.875 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.875 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.875 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.875 * [taylor]: Taking taylor expansion of 1/3 in x 0.875 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.875 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.875 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.875 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.875 * [taylor]: Taking taylor expansion of y in x 0.875 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.875 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.875 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.875 * [taylor]: Taking taylor expansion of 1/3 in x 0.875 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.875 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.875 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.875 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.875 * [taylor]: Taking taylor expansion of y in x 0.875 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 0.875 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 0.875 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 0.876 * [taylor]: Taking taylor expansion of 1/3 in y 0.876 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.876 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.876 * [taylor]: Taking taylor expansion of y in y 0.878 * [taylor]: Taking taylor expansion of 0 in y 0.882 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 0.882 * [taylor]: Taking taylor expansion of 1/3 in y 0.882 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 0.882 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 0.882 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 0.882 * [taylor]: Taking taylor expansion of 1/3 in y 0.882 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 0.882 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.882 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.882 * [taylor]: Taking taylor expansion of y in y 0.891 * [taylor]: Taking taylor expansion of 0 in y 0.899 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.899 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.899 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.899 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.899 * [taylor]: Taking taylor expansion of 1/3 in y 0.899 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.899 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.899 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.899 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.899 * [taylor]: Taking taylor expansion of x in y 0.899 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.899 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.899 * [taylor]: Taking taylor expansion of y in y 0.900 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.900 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.900 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.901 * [taylor]: Taking taylor expansion of 1/3 in x 0.901 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.901 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.901 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.901 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.901 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.901 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.901 * [taylor]: Taking taylor expansion of y in x 0.902 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.902 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.902 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.902 * [taylor]: Taking taylor expansion of 1/3 in x 0.902 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.902 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.902 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.902 * [taylor]: Taking taylor expansion of x in x 0.902 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.902 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.903 * [taylor]: Taking taylor expansion of y in x 0.904 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.904 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.904 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.904 * [taylor]: Taking taylor expansion of -2/3 in y 0.904 * [taylor]: Taking taylor expansion of (log x) in y 0.904 * [taylor]: Taking taylor expansion of x in y 0.907 * [taylor]: Taking taylor expansion of 0 in y 0.911 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.911 * [taylor]: Taking taylor expansion of 1/3 in y 0.911 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.911 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.911 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.911 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.911 * [taylor]: Taking taylor expansion of 1/3 in y 0.911 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.911 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.911 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.911 * [taylor]: Taking taylor expansion of x in y 0.911 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.911 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.911 * [taylor]: Taking taylor expansion of y in y 0.926 * [taylor]: Taking taylor expansion of 0 in y 0.926 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.926 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.927 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.927 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.927 * [taylor]: Taking taylor expansion of 1/3 in y 0.927 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.927 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.927 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.927 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.927 * [taylor]: Taking taylor expansion of x in y 0.927 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.927 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.927 * [taylor]: Taking taylor expansion of y in y 0.928 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.928 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.928 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.928 * [taylor]: Taking taylor expansion of 1/3 in x 0.928 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.928 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.928 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.928 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.928 * [taylor]: Taking taylor expansion of x in x 0.928 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.928 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.928 * [taylor]: Taking taylor expansion of y in x 0.929 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.929 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.929 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.929 * [taylor]: Taking taylor expansion of 1/3 in x 0.929 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.929 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.929 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.929 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.929 * [taylor]: Taking taylor expansion of x in x 0.930 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.930 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.930 * [taylor]: Taking taylor expansion of y in x 0.931 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.931 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.931 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.931 * [taylor]: Taking taylor expansion of -2/3 in y 0.931 * [taylor]: Taking taylor expansion of (log x) in y 0.931 * [taylor]: Taking taylor expansion of x in y 0.934 * [taylor]: Taking taylor expansion of 0 in y 0.938 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.938 * [taylor]: Taking taylor expansion of 1/3 in y 0.938 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.938 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.938 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.938 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.938 * [taylor]: Taking taylor expansion of 1/3 in y 0.938 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.938 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.938 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.938 * [taylor]: Taking taylor expansion of x in y 0.938 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.938 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.938 * [taylor]: Taking taylor expansion of y in y 0.953 * [taylor]: Taking taylor expansion of 0 in y 0.954 * * * [progress]: simplifying candidates 0.955 * [simplify]: Simplifying using # : (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) 0.960 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (* h2 h2)))) (exp (sqrt (+ (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (* h2 h2)))) (* (cbrt (sqrt (+ (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (* h2 h2)))) (cbrt (sqrt (+ (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (* h2 h2))))) (cbrt (sqrt (+ (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (* h2 h2)))) (* (* (sqrt (+ (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (* h2 h2))) (sqrt (+ (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (* h2 h2)))) (sqrt (+ (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (* h2 h2)))) (sqrt (* (cbrt (+ (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (* h2 h2))) (cbrt (+ (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (* h2 h2))))) (sqrt (cbrt (+ (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (* h2 h2)))) (sqrt (sqrt (+ (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (* h2 h2)))) (sqrt (sqrt (+ (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (* h2 h2)))) (sqrt 1) (sqrt (+ (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (* h2 h2))) (sqrt (+ (pow (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) 3) (pow (* h2 h2) 3))) (sqrt (+ (* (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1))))) (- (* (* h2 h2) (* h2 h2)) (* (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (* h2 h2))))) (sqrt (- (* (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1))))) (* (* h2 h2) (* h2 h2)))) (sqrt (- (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (* h2 h2))) (/ 1 2) (sqrt (sqrt (+ (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (* h2 h2)))) (sqrt (sqrt (+ (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (* h2 h2)))) (log (cbrt (+ (* h0 h0) (* h1 h1)))) (exp (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt 1) (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (cbrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (cbrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (cbrt (- (* h0 h0) (* h1 h1))) (* (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (cbrt (+ (* h0 h0) (* h1 h1))))) (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (log (cbrt (+ (* h0 h0) (* h1 h1)))) (exp (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt 1) (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (cbrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (cbrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (cbrt (- (* h0 h0) (* h1 h1))) (* (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (cbrt (+ (* h0 h0) (* h1 h1))))) (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (log (cbrt (+ (* h0 h0) (* h1 h1)))) (exp (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt 1) (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (cbrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (cbrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (cbrt (- (* h0 h0) (* h1 h1))) (* (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (cbrt (+ (* h0 h0) (* h1 h1))))) (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) h2 h0 (* -1 h0) (+ (pow h1 2/3) (* 1/3 (* (pow h0 2) (pow (/ 1 (pow h1 4)) 1/3)))) (pow (/ 1 h0) -2/3) (pow (/ -1 h0) -2/3) (+ (pow h1 2/3) (* 1/3 (* (pow h0 2) (pow (/ 1 (pow h1 4)) 1/3)))) (pow (/ 1 h0) -2/3) (pow (/ -1 h0) -2/3) (+ (pow h1 2/3) (* 1/3 (* (pow h0 2) (pow (/ 1 (pow h1 4)) 1/3)))) (pow (/ 1 h0) -2/3) (pow (/ -1 h0) -2/3) 0.965 * * [simplify]: iteration 0 : 201 enodes (cost 739 ) 0.969 * * [simplify]: iteration 1 : 622 enodes (cost 690 ) 0.981 * * [simplify]: iteration 2 : 2121 enodes (cost 690 ) 1.022 * * [simplify]: iteration 3 : 5003 enodes (cost 689 ) 1.025 * [simplify]: Simplified to: (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)))) (pow (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))) 3) (fabs (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)))) 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)))) (+ (* 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)))) (+ (* 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)))) (+ (* 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) 1.026 * * * [progress]: adding candidates to table 1.220 * * [progress]: iteration 3 / 4 1.220 * * * [progress]: picking best candidate 1.222 * * * * [pick]: Picked # 1.222 * * * [progress]: localizing error 1.224 * * * [progress]: generating rewritten candidates 1.224 * * * [progress]: generating series expansions 1.224 * * * [progress]: simplifying candidates 1.225 * [simplify]: Simplifying using # : 1.225 * [simplify]: Sending expressions to egg_math: 1.227 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.227 * [simplify]: Simplified to: 1.227 * * * [progress]: adding candidates to table 1.227 * * [progress]: iteration 4 / 4 1.227 * * * [progress]: picking best candidate 1.229 * * * * [pick]: Picked # 1.229 * * * [progress]: localizing error 1.229 * * * [progress]: generating rewritten candidates 1.229 * * * [progress]: generating series expansions 1.229 * * * [progress]: simplifying candidates 1.229 * [simplify]: Simplifying using # : 1.229 * [simplify]: Sending expressions to egg_math: 1.231 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.232 * [simplify]: Simplified to: 1.232 * * * [progress]: adding candidates to table 1.232 * [progress]: [Phase 3 of 3] Extracting. 1.232 * * [regime]: Finding splitpoints for: (# # # # #) 1.232 * * * [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) 1.232 * * * * [regimes]: Trying to branch on (* z z) from (# # # # #) 1.256 * * * * [regimes]: Trying to branch on (* z z) from (# # # #) 1.276 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 1.299 * * * * [regimes]: Trying to branch on (* x x) from (# # # # #) 1.320 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 1.343 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # # #) 1.364 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # #) 1.387 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (# # # # #) 1.411 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (# # # # #) 1.435 * * * * [regimes]: Trying to branch on z from (# # # # #) 1.479 * * * * [regimes]: Trying to branch on y from (# # # # #) 1.524 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.557 * * * [regime]: Found split indices: #