36.029 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.021 * * [simplify]: iteration 0 : 13 enodes (cost 6 ) 0.022 * * [simplify]: iteration 1 : 20 enodes (cost 6 ) 0.023 * * [simplify]: iteration 2 : 22 enodes (cost 6 ) 0.024 * * [simplify]: iteration 3 : 22 enodes (cost 6 ) 0.024 * [simplify]: Simplified to: (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.025 * * [progress]: iteration 1 / 4 0.025 * * * [progress]: picking best candidate 0.027 * * * * [pick]: Picked # 0.027 * * * [progress]: localizing error 0.035 * * * [progress]: generating rewritten candidates 0.035 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.066 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.094 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.103 * * * [progress]: generating series expansions 0.103 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.103 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.103 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.103 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.103 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.103 * [taylor]: Taking taylor expansion of x in z 0.103 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.103 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.103 * [taylor]: Taking taylor expansion of y in z 0.103 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.103 * [taylor]: Taking taylor expansion of z in z 0.105 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.105 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.105 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.105 * [taylor]: Taking taylor expansion of x in y 0.105 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.105 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.105 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.105 * [taylor]: Taking taylor expansion of z in y 0.106 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.106 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.106 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.106 * [taylor]: Taking taylor expansion of z in x 0.107 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.107 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.107 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.107 * [taylor]: Taking taylor expansion of z in x 0.108 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.108 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.108 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.108 * [taylor]: Taking taylor expansion of y in y 0.108 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.108 * [taylor]: Taking taylor expansion of z in y 0.109 * [taylor]: Taking taylor expansion of z in z 0.109 * [taylor]: Taking taylor expansion of 0 in y 0.109 * [taylor]: Taking taylor expansion of 0 in z 0.109 * [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 0.113 * [taylor]: Taking taylor expansion of 1/2 in y 0.113 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.113 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.113 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.113 * [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 0.117 * [taylor]: Taking taylor expansion of x in z 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.117 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.117 * [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 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.120 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.120 * [taylor]: Taking taylor expansion of z in y 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.120 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.120 * [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 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.123 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.123 * [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 0.125 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.125 * [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 0.130 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.130 * [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 0.139 * [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 0.143 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.143 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.143 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.143 * [taylor]: Taking taylor expansion of z in y 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.143 * [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 0.153 * [taylor]: Taking taylor expansion of 0 in z 0.153 * [taylor]: Taking taylor expansion of 0 in z 0.155 * [taylor]: Taking taylor expansion of 0 in z 0.155 * [taylor]: Taking taylor expansion of 0 in z 0.155 * [taylor]: Taking taylor expansion of 0 in z 0.157 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.157 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.157 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.157 * [taylor]: Taking taylor expansion of x in z 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.157 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.157 * [taylor]: Taking taylor expansion of z in z 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.158 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.158 * [taylor]: Taking taylor expansion of y in z 0.160 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.160 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.160 * [taylor]: Taking taylor expansion of x in y 0.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.160 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.160 * [taylor]: Taking taylor expansion of z in y 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.160 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.160 * [taylor]: Taking taylor expansion of y in y 0.163 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.163 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.163 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.163 * [taylor]: Taking taylor expansion of z in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.164 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.164 * [taylor]: Taking taylor expansion of y in x 0.165 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.165 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.166 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.166 * [taylor]: Taking taylor expansion of z in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.166 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.166 * [taylor]: Taking taylor expansion of y in x 0.168 * [taylor]: Taking taylor expansion of 1 in y 0.168 * [taylor]: Taking taylor expansion of 0 in y 0.168 * [taylor]: Taking taylor expansion of 1 in z 0.170 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.170 * [taylor]: Taking taylor expansion of 1/2 in y 0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.170 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.170 * [taylor]: Taking taylor expansion of z in y 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.170 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.170 * [taylor]: Taking taylor expansion of y in y 0.172 * [taylor]: Taking taylor expansion of 0 in z 0.172 * [taylor]: Taking taylor expansion of 0 in z 0.172 * [taylor]: Taking taylor expansion of 0 in z 0.175 * [taylor]: Taking taylor expansion of 0 in y 0.176 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.176 * [taylor]: Taking taylor expansion of 1/2 in z 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.176 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.176 * [taylor]: Taking taylor expansion of z in z 0.178 * [taylor]: Taking taylor expansion of 0 in z 0.178 * [taylor]: Taking taylor expansion of 0 in z 0.181 * [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 0.181 * [taylor]: Taking taylor expansion of -1/2 in y 0.182 * [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 0.182 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.182 * [taylor]: Taking taylor expansion of 1/4 in y 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.182 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.182 * [taylor]: Taking taylor expansion of z in y 0.182 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.182 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.182 * [taylor]: Taking taylor expansion of 1/2 in y 0.182 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.182 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.182 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.182 * [taylor]: Taking taylor expansion of z in y 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.182 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.182 * [taylor]: Taking taylor expansion of 1/4 in y 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.182 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.192 * [taylor]: Taking taylor expansion of 0 in z 0.192 * [taylor]: Taking taylor expansion of 0 in z 0.194 * [taylor]: Taking taylor expansion of 0 in z 0.194 * [taylor]: Taking taylor expansion of 0 in z 0.194 * [taylor]: Taking taylor expansion of 0 in z 0.195 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.196 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in (x y z) around 0 0.196 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.196 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.196 * [taylor]: Taking taylor expansion of x in z 0.196 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.196 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.196 * [taylor]: Taking taylor expansion of y in z 0.196 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.196 * [taylor]: Taking taylor expansion of z in z 0.196 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.196 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.196 * [taylor]: Taking taylor expansion of x in y 0.196 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.196 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.196 * [taylor]: Taking taylor expansion of y in y 0.196 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.196 * [taylor]: Taking taylor expansion of z in y 0.196 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.196 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.196 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.196 * [taylor]: Taking taylor expansion of y in x 0.196 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.196 * [taylor]: Taking taylor expansion of z in x 0.196 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.196 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.196 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.196 * [taylor]: Taking taylor expansion of y in x 0.196 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.196 * [taylor]: Taking taylor expansion of z in x 0.197 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.197 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.197 * [taylor]: Taking taylor expansion of y in y 0.197 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.197 * [taylor]: Taking taylor expansion of z in y 0.197 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.197 * [taylor]: Taking taylor expansion of z in z 0.197 * [taylor]: Taking taylor expansion of 0 in y 0.197 * [taylor]: Taking taylor expansion of 0 in z 0.198 * [taylor]: Taking taylor expansion of 0 in z 0.199 * [taylor]: Taking taylor expansion of 1 in y 0.199 * [taylor]: Taking taylor expansion of 1 in z 0.204 * [taylor]: Taking taylor expansion of 0 in z 0.205 * [taylor]: Taking taylor expansion of 1 in z 0.206 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.206 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.206 * [taylor]: Taking taylor expansion of x in z 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.206 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.206 * [taylor]: Taking taylor expansion of z in z 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.206 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.206 * [taylor]: Taking taylor expansion of y in z 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.207 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.207 * [taylor]: Taking taylor expansion of x in y 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.207 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.207 * [taylor]: Taking taylor expansion of z in y 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.207 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.207 * [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 0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.208 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.208 * [taylor]: Taking taylor expansion of z in x 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.208 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.208 * [taylor]: Taking taylor expansion of y in x 0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.208 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.209 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.209 * [taylor]: Taking taylor expansion of z in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.209 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.209 * [taylor]: Taking taylor expansion of y in x 0.209 * [taylor]: Taking taylor expansion of 1 in y 0.210 * [taylor]: Taking taylor expansion of 0 in y 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.212 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.212 * [taylor]: Taking taylor expansion of z in y 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.212 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.212 * [taylor]: Taking taylor expansion of y in y 0.212 * [taylor]: Taking taylor expansion of 1 in z 0.212 * [taylor]: Taking taylor expansion of 1 in z 0.214 * [taylor]: Taking taylor expansion of 0 in y 0.215 * [taylor]: Taking taylor expansion of 0 in z 0.215 * [taylor]: Taking taylor expansion of 0 in z 0.215 * [taylor]: Taking taylor expansion of 0 in z 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.219 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.219 * [taylor]: Taking taylor expansion of z in z 0.219 * [taylor]: Taking taylor expansion of 0 in z 0.219 * [taylor]: Taking taylor expansion of 0 in z 0.220 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.220 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.220 * [taylor]: Taking taylor expansion of x in z 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.220 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.220 * [taylor]: Taking taylor expansion of z in z 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.221 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.221 * [taylor]: Taking taylor expansion of y in z 0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.221 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.221 * [taylor]: Taking taylor expansion of x in y 0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.221 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.221 * [taylor]: Taking taylor expansion of z in y 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.221 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.221 * [taylor]: Taking taylor expansion of y in y 0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.222 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.222 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.222 * [taylor]: Taking taylor expansion of z in x 0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.222 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.222 * [taylor]: Taking taylor expansion of y in x 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.223 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.223 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.223 * [taylor]: Taking taylor expansion of z in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.223 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.223 * [taylor]: Taking taylor expansion of y in x 0.224 * [taylor]: Taking taylor expansion of 1 in y 0.225 * [taylor]: Taking taylor expansion of 0 in y 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.226 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.226 * [taylor]: Taking taylor expansion of z in y 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.226 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.226 * [taylor]: Taking taylor expansion of y in y 0.227 * [taylor]: Taking taylor expansion of 1 in z 0.227 * [taylor]: Taking taylor expansion of 1 in z 0.229 * [taylor]: Taking taylor expansion of 0 in y 0.230 * [taylor]: Taking taylor expansion of 0 in z 0.230 * [taylor]: Taking taylor expansion of 0 in z 0.230 * [taylor]: Taking taylor expansion of 0 in z 0.232 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.233 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.233 * [taylor]: Taking taylor expansion of z in z 0.234 * [taylor]: Taking taylor expansion of 0 in z 0.234 * [taylor]: Taking taylor expansion of 0 in z 0.235 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.235 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.235 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.235 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.235 * [taylor]: Taking taylor expansion of x in y 0.235 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.235 * [taylor]: Taking taylor expansion of y in y 0.235 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.235 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.235 * [taylor]: Taking taylor expansion of y in x 0.235 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.235 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.235 * [taylor]: Taking taylor expansion of y in x 0.235 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.235 * [taylor]: Taking taylor expansion of y in y 0.236 * [taylor]: Taking taylor expansion of 0 in y 0.236 * [taylor]: Taking taylor expansion of 1 in y 0.237 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.240 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.240 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.240 * [taylor]: Taking taylor expansion of x in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.240 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.240 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.241 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.241 * [taylor]: Taking taylor expansion of y in x 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.241 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.241 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.241 * [taylor]: Taking taylor expansion of y in x 0.242 * [taylor]: Taking taylor expansion of 1 in y 0.243 * [taylor]: Taking taylor expansion of 0 in y 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.244 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.244 * [taylor]: Taking taylor expansion of y in y 0.246 * [taylor]: Taking taylor expansion of 0 in y 0.248 * [taylor]: Taking taylor expansion of 0 in y 0.249 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.250 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.250 * [taylor]: Taking taylor expansion of x in y 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.250 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.250 * [taylor]: Taking taylor expansion of y in y 0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.250 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.251 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.251 * [taylor]: Taking taylor expansion of y in x 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.251 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.251 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.251 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of 1 in y 0.253 * [taylor]: Taking taylor expansion of 0 in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.254 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.255 * [taylor]: Taking taylor expansion of 0 in y 0.258 * [taylor]: Taking taylor expansion of 0 in y 0.259 * * * [progress]: simplifying candidates 0.260 * [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)) 0.264 * * [simplify]: iteration 0 : 209 enodes (cost 340 ) 0.269 * * [simplify]: iteration 1 : 959 enodes (cost 320 ) 0.284 * * [simplify]: iteration 2 : 3316 enodes (cost 316 ) 0.348 * * [simplify]: iteration 3 : 5001 enodes (cost 315 ) 0.350 * [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)) 0.350 * * * [progress]: adding candidates to table 0.463 * * [progress]: iteration 2 / 4 0.463 * * * [progress]: picking best candidate 0.469 * * * * [pick]: Picked # 0.469 * * * [progress]: localizing error 0.470 * * * [progress]: generating rewritten candidates 0.470 * * * [progress]: generating series expansions 0.470 * * * [progress]: simplifying candidates 0.470 * [simplify]: Simplifying using # : 0.472 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.472 * [simplify]: Simplified to: 0.472 * * * [progress]: adding candidates to table 0.472 * * [progress]: iteration 3 / 4 0.472 * * * [progress]: picking best candidate 0.474 * * * * [pick]: Picked # 0.474 * * * [progress]: localizing error 0.475 * * * [progress]: generating rewritten candidates 0.475 * * * [progress]: generating series expansions 0.475 * * * [progress]: simplifying candidates 0.475 * [simplify]: Simplifying using # : 0.477 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.477 * [simplify]: Simplified to: 0.477 * * * [progress]: adding candidates to table 0.477 * * [progress]: iteration 4 / 4 0.477 * * * [progress]: picking best candidate 0.478 * * * * [pick]: Picked # 0.479 * * * [progress]: localizing error 0.480 * * * [progress]: generating rewritten candidates 0.480 * * * [progress]: generating series expansions 0.480 * * * [progress]: simplifying candidates 0.481 * [simplify]: Simplifying using # : 0.483 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.483 * [simplify]: Simplified to: 0.483 * * * [progress]: adding candidates to table 0.483 * [progress]: [Phase 3 of 3] Extracting. 0.483 * * [regime]: Finding splitpoints for: (# # # #) 0.483 * * * [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) 0.483 * * * * [regimes]: Trying to branch on (* z z) from (# # # #) 0.501 * * * * [regimes]: Trying to branch on (* z z) from (# # #) 0.519 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 0.535 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 0.554 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.566 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # #) 0.586 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 0.600 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (# # # #) 0.620 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (# # # #) 0.640 * * * * [regimes]: Trying to branch on z from (# # # #) 0.852 * * * * [regimes]: Trying to branch on y from (# # # #) 0.874 * * * * [regimes]: Trying to branch on x from (# # # #) 0.900 * * * [regime]: Found split indices: #