13.634 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.031 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying using # : (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) 0.034 * * [simplify]: iteration 0 : 16 enodes (cost 7 ) 0.036 * * [simplify]: iteration 1 : 27 enodes (cost 7 ) 0.038 * * [simplify]: iteration 2 : 33 enodes (cost 7 ) 0.040 * * [simplify]: iteration 3 : 34 enodes (cost 7 ) 0.042 * * [simplify]: iteration 4 : 34 enodes (cost 7 ) 0.043 * [simplify]: Simplified to: (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) 0.043 * * [progress]: iteration 1 / 4 0.043 * * * [progress]: picking best candidate 0.045 * * * * [pick]: Picked # 0.045 * * * [progress]: localizing error 0.055 * * * [progress]: generating rewritten candidates 0.055 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.069 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.101 * * * [progress]: generating series expansions 0.101 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.102 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in (x y z) around 0 0.102 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z 0.102 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.102 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.102 * [taylor]: Taking taylor expansion of x in z 0.102 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.102 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.102 * [taylor]: Taking taylor expansion of y in z 0.102 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.102 * [taylor]: Taking taylor expansion of z in z 0.103 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.103 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.104 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 0.104 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.104 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.104 * [taylor]: Taking taylor expansion of x in y 0.104 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.104 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.104 * [taylor]: Taking taylor expansion of z in y 0.106 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.106 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.107 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) 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 0.3333333333333333) in x 0.108 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.109 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x 0.109 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.109 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.109 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.109 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.109 * [taylor]: Taking taylor expansion of y in x 0.109 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.109 * [taylor]: Taking taylor expansion of z in x 0.111 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.111 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.112 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y 0.112 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.112 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.112 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.112 * [taylor]: Taking taylor expansion of z in y 0.113 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.113 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.114 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z 0.114 * [taylor]: Taking taylor expansion of z in z 0.114 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.114 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [taylor]: Taking taylor expansion of 0 in z 0.116 * [taylor]: Taking taylor expansion of 0 in z 0.122 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y 0.122 * [taylor]: Taking taylor expansion of 1/2 in y 0.122 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 0.122 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.122 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.122 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.122 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.122 * [taylor]: Taking taylor expansion of y in y 0.122 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.122 * [taylor]: Taking taylor expansion of z in y 0.123 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.123 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.128 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 0.128 * [taylor]: Taking taylor expansion of 1/2 in z 0.128 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 0.128 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.128 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.129 * [taylor]: Taking taylor expansion of z in z 0.130 * [taylor]: Taking taylor expansion of 0 in z 0.133 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 0.133 * [taylor]: Taking taylor expansion of 1/2 in z 0.133 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 0.133 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.133 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.134 * [taylor]: Taking taylor expansion of z in z 0.138 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0 0.138 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.138 * [taylor]: Taking taylor expansion of x in z 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.138 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.138 * [taylor]: Taking taylor expansion of z in z 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.139 * [taylor]: Taking taylor expansion of y in z 0.141 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.141 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.142 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 0.142 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.142 * [taylor]: Taking taylor expansion of x in y 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow z 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 (/ 1 (pow y 2)) in y 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.143 * [taylor]: Taking taylor expansion of y in y 0.146 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.146 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.146 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.147 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.147 * [taylor]: Taking taylor expansion of z in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.147 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.147 * [taylor]: Taking taylor expansion of y in x 0.149 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.150 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.150 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.150 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.151 * [taylor]: Taking taylor expansion of z in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.151 * [taylor]: Taking taylor expansion of y in x 0.153 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.154 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.155 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.155 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.156 * [taylor]: Taking taylor expansion of 0 in y 0.157 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.157 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.162 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 0.162 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 0.162 * [taylor]: Taking taylor expansion of 1/2 in y 0.162 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 0.162 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.162 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.162 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.163 * [taylor]: Taking taylor expansion of z in y 0.163 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 0.163 * [taylor]: Taking taylor expansion of 1/2 in y 0.163 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 0.163 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.163 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.164 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.164 * [taylor]: Taking taylor expansion of y in y 0.166 * [taylor]: Taking taylor expansion of 0 in z 0.166 * [taylor]: Taking taylor expansion of 0 in z 0.166 * [taylor]: Taking taylor expansion of 0 in z 0.171 * [taylor]: Taking taylor expansion of 0 in y 0.175 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 0.175 * [taylor]: Taking taylor expansion of 1/2 in z 0.175 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 0.175 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.175 * [taylor]: Taking taylor expansion of 0.3333333333333333 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 0.179 * [taylor]: Taking taylor expansion of 0 in z 0.186 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))))) in y 0.187 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))) in y 0.187 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 0.187 * [taylor]: Taking taylor expansion of 1/8 in y 0.187 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 0.187 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.187 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.187 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.188 * [taylor]: Taking taylor expansion of z in y 0.188 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))) in y 0.188 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 0.188 * [taylor]: Taking taylor expansion of 1/4 in y 0.188 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 0.188 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.188 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.189 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.189 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.189 * [taylor]: Taking taylor expansion of z in y 0.189 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.189 * [taylor]: Taking taylor expansion of y in y 0.190 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 0.190 * [taylor]: Taking taylor expansion of 1/8 in y 0.190 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 0.190 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.190 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.191 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.191 * [taylor]: Taking taylor expansion of y in y 0.201 * [taylor]: Taking taylor expansion of 0 in z 0.201 * [taylor]: Taking taylor expansion of 0 in z 0.206 * [taylor]: Taking taylor expansion of 0 in z 0.206 * [taylor]: Taking taylor expansion of 0 in z 0.206 * [taylor]: Taking taylor expansion of 0 in z 0.210 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0 0.210 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.210 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.210 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.210 * [taylor]: Taking taylor expansion of x in z 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.210 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.210 * [taylor]: Taking taylor expansion of z in z 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.211 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.211 * [taylor]: Taking taylor expansion of y in z 0.213 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.213 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.214 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 0.214 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.214 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.214 * [taylor]: Taking taylor expansion of x in y 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.214 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.214 * [taylor]: Taking taylor expansion of z in y 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.214 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.214 * [taylor]: Taking taylor expansion of y in y 0.217 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.217 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.218 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.218 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.218 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.218 * [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 0.223 * [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 0.225 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.225 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.226 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.226 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.226 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.226 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.226 * [taylor]: Taking taylor expansion of z in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.227 * [taylor]: Taking taylor expansion of y in x 0.229 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.229 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.230 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.230 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.232 * [taylor]: Taking taylor expansion of 0 in y 0.232 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.232 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.237 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 0.237 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 0.237 * [taylor]: Taking taylor expansion of 1/2 in y 0.237 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 0.237 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.237 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.238 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.238 * [taylor]: Taking taylor expansion of z in y 0.238 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 0.239 * [taylor]: Taking taylor expansion of 1/2 in y 0.239 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 0.239 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.239 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.239 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.242 * [taylor]: Taking taylor expansion of 0 in z 0.242 * [taylor]: Taking taylor expansion of 0 in z 0.242 * [taylor]: Taking taylor expansion of 0 in z 0.247 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 0.250 * [taylor]: Taking taylor expansion of 1/2 in z 0.250 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 0.250 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.250 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.251 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.251 * [taylor]: Taking taylor expansion of z in z 0.253 * [taylor]: Taking taylor expansion of 0 in z 0.254 * [taylor]: Taking taylor expansion of 0 in z 0.261 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))))) in y 0.261 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))) in y 0.261 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 0.261 * [taylor]: Taking taylor expansion of 1/8 in y 0.261 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 0.261 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.261 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.262 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.262 * [taylor]: Taking taylor expansion of z in y 0.263 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))) in y 0.263 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 0.263 * [taylor]: Taking taylor expansion of 1/4 in y 0.263 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 0.263 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.263 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.264 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.264 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.264 * [taylor]: Taking taylor expansion of z in y 0.264 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 0.265 * [taylor]: Taking taylor expansion of 1/8 in y 0.265 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 0.265 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.265 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.266 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.276 * [taylor]: Taking taylor expansion of 0 in z 0.276 * [taylor]: Taking taylor expansion of 0 in z 0.281 * [taylor]: Taking taylor expansion of 0 in z 0.281 * [taylor]: Taking taylor expansion of 0 in z 0.282 * [taylor]: Taking taylor expansion of 0 in z 0.285 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.285 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.285 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.285 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.285 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.285 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.285 * [taylor]: Taking taylor expansion of x in z 0.285 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.285 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.285 * [taylor]: Taking taylor expansion of y in z 0.285 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.285 * [taylor]: Taking taylor expansion of z in z 0.285 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.285 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.285 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.285 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.285 * [taylor]: Taking taylor expansion of x in y 0.285 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.285 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.285 * [taylor]: Taking taylor expansion of z in y 0.285 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.285 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.285 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.286 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.286 * [taylor]: Taking taylor expansion of y in x 0.286 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.286 * [taylor]: Taking taylor expansion of z in x 0.286 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.286 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.286 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.286 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.286 * [taylor]: Taking taylor expansion of y in x 0.286 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.286 * [taylor]: Taking taylor expansion of z in x 0.286 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (pow z 2))) in y 0.286 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.286 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.286 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.286 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.286 * [taylor]: Taking taylor expansion of z in y 0.287 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow z 2)) in z 0.287 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.287 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.287 * [taylor]: Taking taylor expansion of z in z 0.288 * [taylor]: Taking taylor expansion of 0 in y 0.288 * [taylor]: Taking taylor expansion of 0 in z 0.289 * [taylor]: Taking taylor expansion of 0 in z 0.291 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.291 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.291 * [taylor]: Taking taylor expansion of 0 in z 0.292 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.294 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.294 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.294 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.294 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.294 * [taylor]: Taking taylor expansion of x in z 0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.294 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.294 * [taylor]: Taking taylor expansion of z in z 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.295 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.295 * [taylor]: Taking taylor expansion of y in z 0.295 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.295 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.295 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.295 * [taylor]: Taking taylor expansion of x in y 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.295 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.296 * [taylor]: Taking taylor expansion of z in y 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.296 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.296 * [taylor]: Taking taylor expansion of y in y 0.296 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.296 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.296 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.297 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.297 * [taylor]: Taking taylor expansion of z in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.297 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.297 * [taylor]: Taking taylor expansion of y in x 0.297 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.297 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.297 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.298 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.298 * [taylor]: Taking taylor expansion of z in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.298 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.298 * [taylor]: Taking taylor expansion of y in x 0.299 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.300 * [taylor]: Taking taylor expansion of 0 in y 0.303 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow z 2))) (* 0.3333333333333333 (/ 1 (pow y 2)))) in y 0.303 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in y 0.303 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.303 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.303 * [taylor]: Taking taylor expansion of z in y 0.303 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow y 2))) in y 0.303 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.303 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.304 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.305 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.308 * [taylor]: Taking taylor expansion of 0 in y 0.309 * [taylor]: Taking taylor expansion of 0 in z 0.309 * [taylor]: Taking taylor expansion of 0 in z 0.309 * [taylor]: Taking taylor expansion of 0 in z 0.313 * [taylor]: Taking taylor expansion of 0 in y 0.316 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in z 0.316 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.316 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.316 * [taylor]: Taking taylor expansion of z in z 0.317 * [taylor]: Taking taylor expansion of 0 in z 0.317 * [taylor]: Taking taylor expansion of 0 in z 0.322 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.322 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.322 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.322 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.322 * [taylor]: Taking taylor expansion of x in z 0.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.322 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.322 * [taylor]: Taking taylor expansion of z in z 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.323 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.323 * [taylor]: Taking taylor expansion of y in z 0.323 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.323 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.323 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.323 * [taylor]: Taking taylor expansion of x in y 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.323 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.323 * [taylor]: Taking taylor expansion of z in y 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.324 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.324 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.324 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.324 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.325 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.325 * [taylor]: Taking taylor expansion of z in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.325 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.325 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.326 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.326 * [taylor]: Taking taylor expansion of z in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.326 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.327 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.329 * [taylor]: Taking taylor expansion of 0 in y 0.331 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow z 2))) (* 0.3333333333333333 (/ 1 (pow y 2)))) in y 0.331 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in y 0.331 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.331 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.331 * [taylor]: Taking taylor expansion of z in y 0.331 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow y 2))) in y 0.331 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.331 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.333 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.336 * [taylor]: Taking taylor expansion of 0 in y 0.337 * [taylor]: Taking taylor expansion of 0 in z 0.337 * [taylor]: Taking taylor expansion of 0 in z 0.337 * [taylor]: Taking taylor expansion of 0 in z 0.341 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in z 0.343 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.343 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.343 * [taylor]: Taking taylor expansion of z in z 0.344 * [taylor]: Taking taylor expansion of 0 in z 0.344 * [taylor]: Taking taylor expansion of 0 in z 0.345 * * * [progress]: simplifying candidates 0.346 * [simplify]: Simplifying using # : (expm1 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (log1p (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (log (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (exp (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (* (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))) (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (* (* (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (* (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))) (sqrt (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0))) (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) 1)) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0))) (sqrt (/ 1 (sqrt 3.0))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0))) (sqrt (/ 1 1)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt 1) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0) (/ 1 2) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (expm1 (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (log1p (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (- (log (+ (+ (* x x) (* y y)) (* z z))) (log 3.0)) (log (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (exp (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (/ (* (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z))) (* (* 3.0 3.0) 3.0)) (* (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (* (* (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (- (+ (+ (* x x) (* y y)) (* z z))) (- 3.0) (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)) (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) 3.0) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0)) (/ 1 1) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) (/ 1 3.0) (/ 3.0 (+ (+ (* x x) (* y y)) (* z z))) (/ (+ (+ (* x x) (* y y)) (* z z)) (* (cbrt 3.0) (cbrt 3.0))) (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0)) (/ (+ (+ (* x x) (* y y)) (* z z)) 1) (/ 3.0 (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (/ 3.0 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ 3.0 (+ (+ (* x x) (* y y)) (* z z))) (* 3.0 (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (* 3.0 (- (+ (* x x) (* y y)) (* z z))) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2)))) (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2)))) (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2)))) 0.352 * * [simplify]: iteration 0 : 223 enodes (cost 655 ) 0.358 * * [simplify]: iteration 1 : 877 enodes (cost 586 ) 0.376 * * [simplify]: iteration 2 : 3651 enodes (cost 577 ) 0.454 * * [simplify]: iteration 3 : 5001 enodes (cost 577 ) 0.457 * [simplify]: Simplified to: (expm1 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (log1p (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (log (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (exp (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (* (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))) (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (pow (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) 3) (fabs (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (fabs (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0))) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0))) (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0))) (sqrt (/ 1 (sqrt 3.0))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0))) 1 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) 1 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0) 1/2 (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (expm1 (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (log1p (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (- (log (fma z z (fma x x (* y y)))) (log 3.0)) (- (log (fma z z (fma x x (* y y)))) (log 3.0)) (exp (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (/ (/ (pow (fma z z (fma x x (* y y))) 3) 3.0) (* 3.0 3.0)) (* (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (/ (/ (pow (fma z z (fma x x (* y y))) 3) 3.0) (* 3.0 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (- (fma z z (fma x x (* y y)))) (- 3.0) (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)) (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) 3.0) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (fma z z (fma x x (* y y))) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (fma z z (fma x x (* y y))) (sqrt 3.0)) 1 (/ (fma z z (fma x x (* y y))) 3.0) (/ 1 3.0) (/ 3.0 (fma z z (fma x x (* y y)))) (/ (/ (fma z z (fma x x (* y y))) (cbrt 3.0)) (cbrt 3.0)) (/ (fma z z (fma x x (* y y))) (sqrt 3.0)) (fma z z (fma x x (* y y))) (/ 3.0 (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (/ 3.0 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ 3.0 (fma z z (fma x x (* y y)))) (fma (* 3.0 (fma x x (* y y))) (fma x x (* y y)) (* (* 3.0 (pow z 2)) (- (pow z 2) (fma x x (* y y))))) (* 3.0 (- (+ (* x x) (* y y)) (* z z))) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) (* 0.3333333333333333 (fma z z (fma x x (* y y)))) (* 0.3333333333333333 (fma z z (fma x x (* y y)))) (* 0.3333333333333333 (fma z z (fma x x (* y y)))) 0.458 * * * [progress]: adding candidates to table 0.664 * * [progress]: iteration 2 / 4 0.664 * * * [progress]: picking best candidate 0.674 * * * * [pick]: Picked # 0.674 * * * [progress]: localizing error 0.686 * * * [progress]: generating rewritten candidates 0.686 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.701 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.746 * * * [progress]: generating series expansions 0.746 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.746 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.746 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.746 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.747 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.747 * [taylor]: Taking taylor expansion of x in z 0.747 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.747 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.747 * [taylor]: Taking taylor expansion of y in z 0.747 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.747 * [taylor]: Taking taylor expansion of z in z 0.748 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.748 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.748 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.748 * [taylor]: Taking taylor expansion of x in y 0.748 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.748 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.748 * [taylor]: Taking taylor expansion of y in y 0.748 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.748 * [taylor]: Taking taylor expansion of z in y 0.750 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.750 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.750 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.750 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.750 * [taylor]: Taking taylor expansion of y in x 0.750 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.750 * [taylor]: Taking taylor expansion of z in x 0.751 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.751 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.751 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.751 * [taylor]: Taking taylor expansion of x in x 0.751 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.751 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.751 * [taylor]: Taking taylor expansion of y in x 0.751 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.751 * [taylor]: Taking taylor expansion of z in x 0.753 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.753 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.753 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.753 * [taylor]: Taking taylor expansion of y in y 0.753 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.753 * [taylor]: Taking taylor expansion of z in y 0.754 * [taylor]: Taking taylor expansion of z in z 0.754 * [taylor]: Taking taylor expansion of 0 in y 0.754 * [taylor]: Taking taylor expansion of 0 in z 0.754 * [taylor]: Taking taylor expansion of 0 in z 0.756 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.756 * [taylor]: Taking taylor expansion of 1/2 in y 0.756 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.756 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.756 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 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 0.756 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.756 * [taylor]: Taking taylor expansion of z in y 0.757 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.757 * [taylor]: Taking taylor expansion of 1/2 in z 0.757 * [taylor]: Taking taylor expansion of z in z 0.758 * [taylor]: Taking taylor expansion of 0 in z 0.759 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.759 * [taylor]: Taking taylor expansion of 1/2 in z 0.759 * [taylor]: Taking taylor expansion of z in z 0.761 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.761 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.761 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.761 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.761 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.761 * [taylor]: Taking taylor expansion of x in z 0.761 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.761 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.761 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.761 * [taylor]: Taking taylor expansion of z in z 0.762 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.762 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.762 * [taylor]: Taking taylor expansion of y in z 0.764 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.765 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.765 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.765 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.765 * [taylor]: Taking taylor expansion of x in y 0.765 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.765 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.765 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.765 * [taylor]: Taking taylor expansion of z in y 0.765 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.765 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.765 * [taylor]: Taking taylor expansion of y in y 0.768 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.768 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.768 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.768 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.768 * [taylor]: Taking taylor expansion of x in x 0.769 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.769 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.769 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.769 * [taylor]: Taking taylor expansion of z in x 0.769 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.769 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.769 * [taylor]: Taking taylor expansion of y in x 0.771 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.771 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.772 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.772 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.772 * [taylor]: Taking taylor expansion of x in x 0.772 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.772 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.772 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.772 * [taylor]: Taking taylor expansion of z in x 0.772 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.772 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.772 * [taylor]: Taking taylor expansion of y in x 0.775 * [taylor]: Taking taylor expansion of 1 in y 0.775 * [taylor]: Taking taylor expansion of 0 in y 0.775 * [taylor]: Taking taylor expansion of 1 in z 0.777 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.777 * [taylor]: Taking taylor expansion of 1/2 in y 0.777 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.777 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.777 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.777 * [taylor]: Taking taylor expansion of z in y 0.778 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.778 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.778 * [taylor]: Taking taylor expansion of y in y 0.780 * [taylor]: Taking taylor expansion of 0 in z 0.780 * [taylor]: Taking taylor expansion of 0 in z 0.780 * [taylor]: Taking taylor expansion of 0 in z 0.783 * [taylor]: Taking taylor expansion of 0 in y 0.784 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.785 * [taylor]: Taking taylor expansion of 1/2 in z 0.785 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.785 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.785 * [taylor]: Taking taylor expansion of z in z 0.786 * [taylor]: Taking taylor expansion of 0 in z 0.786 * [taylor]: Taking taylor expansion of 0 in z 0.790 * [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 0.790 * [taylor]: Taking taylor expansion of -1/2 in y 0.790 * [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 0.790 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.791 * [taylor]: Taking taylor expansion of 1/4 in y 0.791 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.791 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.791 * [taylor]: Taking taylor expansion of z in y 0.791 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.791 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.791 * [taylor]: Taking taylor expansion of 1/2 in y 0.791 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.791 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.791 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.791 * [taylor]: Taking taylor expansion of z in y 0.791 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.791 * [taylor]: Taking taylor expansion of y in y 0.791 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.792 * [taylor]: Taking taylor expansion of 1/4 in y 0.792 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.792 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.792 * [taylor]: Taking taylor expansion of y in y 0.803 * [taylor]: Taking taylor expansion of 0 in z 0.803 * [taylor]: Taking taylor expansion of 0 in z 0.805 * [taylor]: Taking taylor expansion of 0 in z 0.806 * [taylor]: Taking taylor expansion of 0 in z 0.806 * [taylor]: Taking taylor expansion of 0 in z 0.808 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.808 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.808 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.808 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.808 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.808 * [taylor]: Taking taylor expansion of x in z 0.808 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.808 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.808 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.808 * [taylor]: Taking taylor expansion of z in z 0.809 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.809 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.809 * [taylor]: Taking taylor expansion of y in z 0.811 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.811 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.811 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.811 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.811 * [taylor]: Taking taylor expansion of x in y 0.811 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.812 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.812 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.812 * [taylor]: Taking taylor expansion of z in y 0.812 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.812 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.812 * [taylor]: Taking taylor expansion of y in y 0.815 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.815 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.815 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.815 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.815 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.815 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.815 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.815 * [taylor]: Taking taylor expansion of z 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 0.818 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.818 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.818 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.818 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.818 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.819 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.819 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.819 * [taylor]: Taking taylor expansion of z in x 0.819 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.819 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.819 * [taylor]: Taking taylor expansion of y in x 0.821 * [taylor]: Taking taylor expansion of 1 in y 0.821 * [taylor]: Taking taylor expansion of 0 in y 0.821 * [taylor]: Taking taylor expansion of 1 in z 0.824 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.824 * [taylor]: Taking taylor expansion of 1/2 in y 0.824 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.824 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.824 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.824 * [taylor]: Taking taylor expansion of z in y 0.824 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.824 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.824 * [taylor]: Taking taylor expansion of y in y 0.826 * [taylor]: Taking taylor expansion of 0 in z 0.826 * [taylor]: Taking taylor expansion of 0 in z 0.826 * [taylor]: Taking taylor expansion of 0 in z 0.829 * [taylor]: Taking taylor expansion of 0 in y 0.831 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.831 * [taylor]: Taking taylor expansion of 1/2 in z 0.831 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.831 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.831 * [taylor]: Taking taylor expansion of z in z 0.833 * [taylor]: Taking taylor expansion of 0 in z 0.833 * [taylor]: Taking taylor expansion of 0 in z 0.837 * [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 0.837 * [taylor]: Taking taylor expansion of -1/2 in y 0.837 * [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 0.837 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.837 * [taylor]: Taking taylor expansion of 1/4 in y 0.837 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.837 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.837 * [taylor]: Taking taylor expansion of z in y 0.837 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.837 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.837 * [taylor]: Taking taylor expansion of 1/2 in y 0.837 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.837 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.837 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.837 * [taylor]: Taking taylor expansion of z in y 0.838 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.838 * [taylor]: Taking taylor expansion of y in y 0.841 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.841 * [taylor]: Taking taylor expansion of 1/4 in y 0.842 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.842 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.842 * [taylor]: Taking taylor expansion of y in y 0.853 * [taylor]: Taking taylor expansion of 0 in z 0.853 * [taylor]: Taking taylor expansion of 0 in z 0.855 * [taylor]: Taking taylor expansion of 0 in z 0.855 * [taylor]: Taking taylor expansion of 0 in z 0.855 * [taylor]: Taking taylor expansion of 0 in z 0.857 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.858 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in (x y z) around 0 0.858 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z 0.858 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.858 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.858 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.858 * [taylor]: Taking taylor expansion of x in z 0.858 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.858 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.858 * [taylor]: Taking taylor expansion of y in z 0.858 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.858 * [taylor]: Taking taylor expansion of z in z 0.860 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.860 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.861 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 0.861 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.861 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.861 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.861 * [taylor]: Taking taylor expansion of x in y 0.861 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.861 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.861 * [taylor]: Taking taylor expansion of y in y 0.861 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.861 * [taylor]: Taking taylor expansion of z in y 0.862 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.862 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.863 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x 0.863 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.863 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.863 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.863 * [taylor]: Taking taylor expansion of x in x 0.863 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.863 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.863 * [taylor]: Taking taylor expansion of y in x 0.863 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.863 * [taylor]: Taking taylor expansion of z in x 0.864 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.865 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.865 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x 0.865 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.865 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.865 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.865 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.865 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.865 * [taylor]: Taking taylor expansion of y in x 0.865 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.866 * [taylor]: Taking taylor expansion of z in x 0.867 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.867 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.869 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y 0.869 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.869 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.869 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.869 * [taylor]: Taking taylor expansion of y in y 0.869 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.869 * [taylor]: Taking taylor expansion of z in y 0.869 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.869 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.870 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z 0.871 * [taylor]: Taking taylor expansion of z in z 0.871 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.871 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.872 * [taylor]: Taking taylor expansion of 0 in y 0.872 * [taylor]: Taking taylor expansion of 0 in z 0.873 * [taylor]: Taking taylor expansion of 0 in z 0.878 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y 0.878 * [taylor]: Taking taylor expansion of 1/2 in y 0.878 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 0.878 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.878 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.878 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.878 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.878 * [taylor]: Taking taylor expansion of y in y 0.878 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.878 * [taylor]: Taking taylor expansion of z in y 0.879 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.879 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.881 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 0.881 * [taylor]: Taking taylor expansion of 1/2 in z 0.881 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 0.881 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.881 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.881 * [taylor]: Taking taylor expansion of z in z 0.883 * [taylor]: Taking taylor expansion of 0 in z 0.886 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 0.886 * [taylor]: Taking taylor expansion of 1/2 in z 0.886 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 0.886 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.886 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.887 * [taylor]: Taking taylor expansion of z in z 0.891 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0 0.891 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.891 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.891 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.891 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.891 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.891 * [taylor]: Taking taylor expansion of x in z 0.891 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.891 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.891 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.891 * [taylor]: Taking taylor expansion of z in z 0.892 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.892 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.892 * [taylor]: Taking taylor expansion of y in z 0.895 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.895 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.896 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 0.896 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.896 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.896 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.896 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.896 * [taylor]: Taking taylor expansion of x in y 0.896 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.896 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.896 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.896 * [taylor]: Taking taylor expansion of z in y 0.896 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.896 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.896 * [taylor]: Taking taylor expansion of y in y 0.899 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.899 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.900 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.900 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.900 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.900 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.900 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.900 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.900 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.900 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.900 * [taylor]: Taking taylor expansion of z 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 0.903 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.903 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.904 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.904 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.904 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.904 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.904 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.904 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.904 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.904 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.904 * [taylor]: Taking taylor expansion of z in x 0.904 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.904 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.905 * [taylor]: Taking taylor expansion of y in x 0.907 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.907 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.908 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.908 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.909 * [taylor]: Taking taylor expansion of 0 in y 0.909 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.909 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.914 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 0.914 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 0.914 * [taylor]: Taking taylor expansion of 1/2 in y 0.915 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 0.915 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.915 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.915 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.915 * [taylor]: Taking taylor expansion of z in y 0.916 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 0.916 * [taylor]: Taking taylor expansion of 1/2 in y 0.916 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 0.916 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.916 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.917 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.917 * [taylor]: Taking taylor expansion of y in y 0.919 * [taylor]: Taking taylor expansion of 0 in z 0.920 * [taylor]: Taking taylor expansion of 0 in z 0.920 * [taylor]: Taking taylor expansion of 0 in z 0.924 * [taylor]: Taking taylor expansion of 0 in y 0.928 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 0.928 * [taylor]: Taking taylor expansion of 1/2 in z 0.928 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 0.928 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.928 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.929 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.929 * [taylor]: Taking taylor expansion of z in z 0.931 * [taylor]: Taking taylor expansion of 0 in z 0.932 * [taylor]: Taking taylor expansion of 0 in z 0.943 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))))) in y 0.943 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))) in y 0.943 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 0.943 * [taylor]: Taking taylor expansion of 1/8 in y 0.943 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 0.943 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.943 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.944 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.944 * [taylor]: Taking taylor expansion of z in y 0.944 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))) in y 0.944 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 0.944 * [taylor]: Taking taylor expansion of 1/4 in y 0.944 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 0.944 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.944 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.945 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.945 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.945 * [taylor]: Taking taylor expansion of z in y 0.945 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.945 * [taylor]: Taking taylor expansion of y in y 0.946 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 0.946 * [taylor]: Taking taylor expansion of 1/8 in y 0.946 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 0.946 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.946 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.947 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.947 * [taylor]: Taking taylor expansion of y in y 0.957 * [taylor]: Taking taylor expansion of 0 in z 0.958 * [taylor]: Taking taylor expansion of 0 in z 0.962 * [taylor]: Taking taylor expansion of 0 in z 0.962 * [taylor]: Taking taylor expansion of 0 in z 0.963 * [taylor]: Taking taylor expansion of 0 in z 0.967 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0 0.967 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.967 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.967 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.967 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.967 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.967 * [taylor]: Taking taylor expansion of x in z 0.967 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.967 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.967 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.967 * [taylor]: Taking taylor expansion of z in z 0.968 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.968 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.968 * [taylor]: Taking taylor expansion of y in z 0.971 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.971 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.971 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 0.971 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.971 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.971 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.972 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.972 * [taylor]: Taking taylor expansion of x in y 0.972 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.972 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.972 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.972 * [taylor]: Taking taylor expansion of z in y 0.972 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.972 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.972 * [taylor]: Taking taylor expansion of y in y 0.975 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.975 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.976 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.976 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.976 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.976 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.976 * [taylor]: Taking taylor expansion of x in x 0.976 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.976 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.976 * [taylor]: Taking taylor expansion of z in x 0.977 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.977 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.977 * [taylor]: Taking taylor expansion of y in x 0.979 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.979 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.980 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.980 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.980 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.980 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.980 * [taylor]: Taking taylor expansion of x in x 0.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.980 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.980 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.980 * [taylor]: Taking taylor expansion of z in x 0.980 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.980 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.981 * [taylor]: Taking taylor expansion of y in x 0.983 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.983 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.984 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.984 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.985 * [taylor]: Taking taylor expansion of 0 in y 0.985 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.985 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.990 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 0.990 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 0.991 * [taylor]: Taking taylor expansion of 1/2 in y 0.991 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 0.991 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.991 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.991 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.991 * [taylor]: Taking taylor expansion of z in y 0.992 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 0.992 * [taylor]: Taking taylor expansion of 1/2 in y 0.992 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 0.992 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.992 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.993 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.993 * [taylor]: Taking taylor expansion of y in y 0.995 * [taylor]: Taking taylor expansion of 0 in z 0.995 * [taylor]: Taking taylor expansion of 0 in z 0.995 * [taylor]: Taking taylor expansion of 0 in z 1.000 * [taylor]: Taking taylor expansion of 0 in y 1.003 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 1.003 * [taylor]: Taking taylor expansion of 1/2 in z 1.004 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 1.004 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.004 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.004 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.004 * [taylor]: Taking taylor expansion of z in z 1.007 * [taylor]: Taking taylor expansion of 0 in z 1.007 * [taylor]: Taking taylor expansion of 0 in z 1.015 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))))) in y 1.015 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))) in y 1.015 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 1.015 * [taylor]: Taking taylor expansion of 1/8 in y 1.015 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 1.015 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.015 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.016 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.016 * [taylor]: Taking taylor expansion of z in y 1.016 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))) in y 1.016 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 1.016 * [taylor]: Taking taylor expansion of 1/4 in y 1.016 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 1.016 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.016 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.017 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.017 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.017 * [taylor]: Taking taylor expansion of z in y 1.017 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.017 * [taylor]: Taking taylor expansion of y in y 1.018 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 1.018 * [taylor]: Taking taylor expansion of 1/8 in y 1.018 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 1.018 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.018 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.019 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.019 * [taylor]: Taking taylor expansion of y in y 1.033 * [taylor]: Taking taylor expansion of 0 in z 1.033 * [taylor]: Taking taylor expansion of 0 in z 1.038 * [taylor]: Taking taylor expansion of 0 in z 1.038 * [taylor]: Taking taylor expansion of 0 in z 1.039 * [taylor]: Taking taylor expansion of 0 in z 1.042 * * * [progress]: simplifying candidates 1.043 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (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)))) (expm1 (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (log1p (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (* (+ (+ (* x x) (* y y)) (* z z)) (/ 1 3.0)) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) (* (+ (+ (* x x) (* y y)) (* z z)) (/ 1 3.0)) (+ (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt (/ 1 3.0)))) (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (exp (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (* (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* (sqrt (/ 1 3.0)) (sqrt (/ 1 3.0))) (sqrt (/ 1 3.0)))) (* (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))) (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (* (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (* (+ (+ (* x x) (* y y)) (* z z)) (/ 1 3.0)) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt 1)) (* (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt 3.0)) (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt 1)) (* (sqrt (- (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (sqrt (/ 1 3.0))) (cbrt (sqrt (/ 1 3.0))))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (* (cbrt (/ 1 3.0)) (cbrt (/ 1 3.0))))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 3.0) (cbrt 3.0))))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (sqrt 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (* (cbrt 1) (cbrt 1)) 1))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (sqrt 1) (* (cbrt 3.0) (cbrt 3.0))))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (sqrt 1) 1))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0))))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 1))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1)) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1)) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0))) (* (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1)) (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (/ 1 3.0))) (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (/ 1 3.0))) z x (* -1 x) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) 1.049 * * [simplify]: iteration 0 : 243 enodes (cost 820 ) 1.055 * * [simplify]: iteration 1 : 804 enodes (cost 784 ) 1.073 * * [simplify]: iteration 2 : 2795 enodes (cost 760 ) 1.118 * * [simplify]: iteration 3 : 5002 enodes (cost 747 ) 1.122 * [simplify]: Simplified to: (expm1 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (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))) (hypot (pow z 3) (pow (fma x x (* y y)) 3/2)) (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)))) (expm1 (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (log1p (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (/ (fma z z (fma x x (* y y))) 3.0) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) (/ (fma z z (fma x x (* y y))) 3.0) (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (exp (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (pow (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) 3) (* (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))) (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (pow (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) 3) (/ (fma z z (fma x x (* y y))) 3.0) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (hypot (pow z 3) (pow (fma x x (* y y)) 3/2)) (* (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt 3.0)) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (* (sqrt (- (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (sqrt (/ 1 3.0))) (cbrt (sqrt (/ 1 3.0))))) (* (fabs (cbrt (/ 1 3.0))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt (/ 1 3.0)))) (* (fabs (/ 1 (cbrt 3.0))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 (sqrt 3.0)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (fabs (/ 1 (cbrt 3.0))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 (sqrt 3.0)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (fabs (/ 1 (cbrt 3.0))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 (sqrt 3.0)))) (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 (sqrt (/ 1 3.0)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0))) (* (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (/ 1 3.0))) (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (/ 1 3.0))) z x (* -1 x) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) 1.122 * * * [progress]: adding candidates to table 1.321 * * [progress]: iteration 3 / 4 1.321 * * * [progress]: picking best candidate 1.331 * * * * [pick]: Picked # 1.332 * * * [progress]: localizing error 1.343 * * * [progress]: generating rewritten candidates 1.343 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 1.346 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.359 * * * [progress]: generating series expansions 1.359 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 1.359 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.359 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.359 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.359 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.359 * [taylor]: Taking taylor expansion of x in y 1.359 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.359 * [taylor]: Taking taylor expansion of y in y 1.360 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.360 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.360 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.360 * [taylor]: Taking taylor expansion of x in x 1.360 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.360 * [taylor]: Taking taylor expansion of y in x 1.361 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.361 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.361 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.361 * [taylor]: Taking taylor expansion of x in x 1.361 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.361 * [taylor]: Taking taylor expansion of y in x 1.362 * [taylor]: Taking taylor expansion of y in y 1.362 * [taylor]: Taking taylor expansion of 0 in y 1.363 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.363 * [taylor]: Taking taylor expansion of 1/2 in y 1.363 * [taylor]: Taking taylor expansion of y in y 1.365 * [taylor]: Taking taylor expansion of 0 in y 1.366 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.366 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.366 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.366 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.366 * [taylor]: Taking taylor expansion of x in y 1.366 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.366 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.366 * [taylor]: Taking taylor expansion of y in y 1.369 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.369 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.369 * [taylor]: Taking taylor expansion of x in x 1.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.370 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.370 * [taylor]: Taking taylor expansion of y in x 1.372 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.372 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.372 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.372 * [taylor]: Taking taylor expansion of x in x 1.373 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.373 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.373 * [taylor]: Taking taylor expansion of y in x 1.375 * [taylor]: Taking taylor expansion of 1 in y 1.375 * [taylor]: Taking taylor expansion of 0 in y 1.377 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.377 * [taylor]: Taking taylor expansion of 1/2 in y 1.377 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.377 * [taylor]: Taking taylor expansion of y in y 1.385 * [taylor]: Taking taylor expansion of 0 in y 1.387 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.387 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.387 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.387 * [taylor]: Taking taylor expansion of x in y 1.387 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.387 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.387 * [taylor]: Taking taylor expansion of y in y 1.390 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.390 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.390 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.390 * [taylor]: Taking taylor expansion of x in x 1.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.390 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.390 * [taylor]: Taking taylor expansion of y in x 1.393 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.393 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.393 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.393 * [taylor]: Taking taylor expansion of x in x 1.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.393 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.393 * [taylor]: Taking taylor expansion of y in x 1.395 * [taylor]: Taking taylor expansion of 1 in y 1.396 * [taylor]: Taking taylor expansion of 0 in y 1.398 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.398 * [taylor]: Taking taylor expansion of 1/2 in y 1.398 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.398 * [taylor]: Taking taylor expansion of y in y 1.401 * [taylor]: Taking taylor expansion of 0 in y 1.402 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.403 * [approximate]: Taking taylor expansion of (* (hypot (sqrt (+ (pow x 2) (pow y 2))) z) (sqrt 0.3333333333333333)) in (x y z) around 0 1.403 * [taylor]: Taking taylor expansion of (* (hypot (sqrt (+ (pow x 2) (pow y 2))) z) (sqrt 0.3333333333333333)) in z 1.403 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in z 1.404 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 1.404 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in z 1.404 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in z 1.404 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 1.404 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 1.404 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.404 * [taylor]: Taking taylor expansion of x in z 1.404 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.404 * [taylor]: Taking taylor expansion of y in z 1.405 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 1.405 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 1.405 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.405 * [taylor]: Taking taylor expansion of x in z 1.405 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.405 * [taylor]: Taking taylor expansion of y in z 1.406 * [taylor]: Taking taylor expansion of (* z z) in z 1.406 * [taylor]: Taking taylor expansion of z in z 1.406 * [taylor]: Taking taylor expansion of z in z 1.408 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.408 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.409 * [taylor]: Taking taylor expansion of (* (hypot (sqrt (+ (pow x 2) (pow y 2))) z) (sqrt 0.3333333333333333)) in y 1.409 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in y 1.409 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 1.409 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in y 1.409 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in y 1.409 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.409 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.409 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.409 * [taylor]: Taking taylor expansion of x in y 1.409 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.409 * [taylor]: Taking taylor expansion of y in y 1.410 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.410 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.410 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.410 * [taylor]: Taking taylor expansion of x in y 1.410 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.410 * [taylor]: Taking taylor expansion of y in y 1.410 * [taylor]: Taking taylor expansion of (* z z) in y 1.411 * [taylor]: Taking taylor expansion of z in y 1.411 * [taylor]: Taking taylor expansion of z in y 1.411 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.411 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.412 * [taylor]: Taking taylor expansion of (* (hypot (sqrt (+ (pow x 2) (pow y 2))) z) (sqrt 0.3333333333333333)) in x 1.412 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 1.412 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 1.412 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 1.412 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 1.413 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.413 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.413 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.413 * [taylor]: Taking taylor expansion of x in x 1.413 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.413 * [taylor]: Taking taylor expansion of y in x 1.413 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.413 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.413 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.413 * [taylor]: Taking taylor expansion of x in x 1.413 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.413 * [taylor]: Taking taylor expansion of y in x 1.414 * [taylor]: Taking taylor expansion of (* z z) in x 1.414 * [taylor]: Taking taylor expansion of z in x 1.414 * [taylor]: Taking taylor expansion of z in x 1.415 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.415 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.416 * [taylor]: Taking taylor expansion of (* (hypot (sqrt (+ (pow x 2) (pow y 2))) z) (sqrt 0.3333333333333333)) in x 1.416 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 1.416 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 1.416 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 1.416 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 1.416 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.416 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.416 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.416 * [taylor]: Taking taylor expansion of x in x 1.416 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.416 * [taylor]: Taking taylor expansion of y in x 1.417 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.417 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.417 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.417 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.417 * [taylor]: Taking taylor expansion of y in x 1.418 * [taylor]: Taking taylor expansion of (* z z) in x 1.418 * [taylor]: Taking taylor expansion of z in x 1.418 * [taylor]: Taking taylor expansion of z in x 1.418 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.419 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.420 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y 1.420 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 1.420 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.420 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.420 * [taylor]: Taking taylor expansion of y in y 1.420 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.420 * [taylor]: Taking taylor expansion of z in y 1.421 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.421 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.422 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z 1.422 * [taylor]: Taking taylor expansion of z in z 1.422 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.422 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.423 * [taylor]: Taking taylor expansion of 0 in y 1.424 * [taylor]: Taking taylor expansion of 0 in z 1.424 * [taylor]: Taking taylor expansion of 0 in z 1.431 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y 1.431 * [taylor]: Taking taylor expansion of 1/2 in y 1.431 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 1.431 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 1.431 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 1.431 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.432 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.432 * [taylor]: Taking taylor expansion of y in y 1.432 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.432 * [taylor]: Taking taylor expansion of z in y 1.432 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.433 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.434 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 1.434 * [taylor]: Taking taylor expansion of 1/2 in z 1.434 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 1.434 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.434 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.435 * [taylor]: Taking taylor expansion of z in z 1.436 * [taylor]: Taking taylor expansion of 0 in z 1.439 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 1.439 * [taylor]: Taking taylor expansion of 1/2 in z 1.439 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 1.439 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.439 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.440 * [taylor]: Taking taylor expansion of z in z 1.445 * [approximate]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z))) in (x y z) around 0 1.445 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z))) in z 1.445 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.445 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.446 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in z 1.446 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 1.446 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in z 1.446 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in z 1.446 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 1.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 1.446 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.446 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.446 * [taylor]: Taking taylor expansion of x in z 1.446 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.446 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.446 * [taylor]: Taking taylor expansion of y in z 1.448 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 1.448 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 1.448 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.448 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.448 * [taylor]: Taking taylor expansion of x in z 1.448 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.448 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.448 * [taylor]: Taking taylor expansion of y in z 1.449 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 1.449 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.449 * [taylor]: Taking taylor expansion of z in z 1.450 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.450 * [taylor]: Taking taylor expansion of z in z 1.452 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z))) in y 1.453 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.453 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.453 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in y 1.454 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 1.454 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in y 1.454 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.454 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.454 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.454 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.454 * [taylor]: Taking taylor expansion of x in y 1.454 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.454 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.454 * [taylor]: Taking taylor expansion of y in y 1.456 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.456 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.456 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.456 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.456 * [taylor]: Taking taylor expansion of x in y 1.457 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.457 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.457 * [taylor]: Taking taylor expansion of y in y 1.459 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 1.459 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.459 * [taylor]: Taking taylor expansion of z in y 1.459 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.459 * [taylor]: Taking taylor expansion of z in y 1.461 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z))) in x 1.461 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.461 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.462 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 1.462 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 1.462 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in x 1.462 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.462 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.462 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.462 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.463 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.463 * [taylor]: Taking taylor expansion of x in x 1.463 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.463 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.463 * [taylor]: Taking taylor expansion of y in x 1.465 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.465 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.465 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.465 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.465 * [taylor]: Taking taylor expansion of x in x 1.466 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.466 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.466 * [taylor]: Taking taylor expansion of y in x 1.468 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.468 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.468 * [taylor]: Taking taylor expansion of z in x 1.468 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.468 * [taylor]: Taking taylor expansion of z in x 1.470 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z))) in x 1.470 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.470 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.471 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 1.471 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 1.471 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in x 1.471 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.471 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.471 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.471 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.471 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.471 * [taylor]: Taking taylor expansion of x in x 1.472 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.472 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.472 * [taylor]: Taking taylor expansion of y in x 1.474 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.474 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.474 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.474 * [taylor]: Taking taylor expansion of x in x 1.475 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.475 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.475 * [taylor]: Taking taylor expansion of y in x 1.477 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.477 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.477 * [taylor]: Taking taylor expansion of z in x 1.477 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.477 * [taylor]: Taking taylor expansion of z in x 1.485 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.486 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.487 * [taylor]: Taking taylor expansion of 0 in y 1.487 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.487 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.496 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 1.496 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 1.496 * [taylor]: Taking taylor expansion of 1/2 in y 1.496 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 1.496 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.497 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.497 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.497 * [taylor]: Taking taylor expansion of z in y 1.498 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 1.498 * [taylor]: Taking taylor expansion of 1/2 in y 1.498 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 1.498 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.498 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.499 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.499 * [taylor]: Taking taylor expansion of y in y 1.501 * [taylor]: Taking taylor expansion of 0 in z 1.501 * [taylor]: Taking taylor expansion of 0 in z 1.501 * [taylor]: Taking taylor expansion of 0 in z 1.510 * [taylor]: Taking taylor expansion of 0 in y 1.513 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 1.513 * [taylor]: Taking taylor expansion of 1/2 in z 1.513 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 1.513 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.513 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.514 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.514 * [taylor]: Taking taylor expansion of z in z 1.516 * [taylor]: Taking taylor expansion of 0 in z 1.517 * [taylor]: Taking taylor expansion of 0 in z 1.529 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))))) in y 1.529 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))) in y 1.529 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 1.529 * [taylor]: Taking taylor expansion of 1/8 in y 1.529 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 1.529 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.529 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.530 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.530 * [taylor]: Taking taylor expansion of z in y 1.530 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))) in y 1.530 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 1.530 * [taylor]: Taking taylor expansion of 1/4 in y 1.530 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 1.530 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.530 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.531 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.531 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.531 * [taylor]: Taking taylor expansion of z in y 1.531 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.531 * [taylor]: Taking taylor expansion of y in y 1.532 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 1.532 * [taylor]: Taking taylor expansion of 1/8 in y 1.532 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 1.532 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.532 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.533 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.533 * [taylor]: Taking taylor expansion of y in y 1.544 * [taylor]: Taking taylor expansion of 0 in z 1.544 * [taylor]: Taking taylor expansion of 0 in z 1.548 * [taylor]: Taking taylor expansion of 0 in z 1.548 * [taylor]: Taking taylor expansion of 0 in z 1.549 * [taylor]: Taking taylor expansion of 0 in z 1.553 * [approximate]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z))) in (x y z) around 0 1.553 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z))) in z 1.553 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.553 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.553 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in z 1.554 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 1.554 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in z 1.554 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in z 1.554 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 1.554 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 1.554 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.554 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.554 * [taylor]: Taking taylor expansion of x in z 1.554 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.554 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.554 * [taylor]: Taking taylor expansion of y in z 1.555 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 1.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 1.556 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.556 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.556 * [taylor]: Taking taylor expansion of x in z 1.556 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.556 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.556 * [taylor]: Taking taylor expansion of y in z 1.557 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 1.557 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.557 * [taylor]: Taking taylor expansion of -1 in z 1.557 * [taylor]: Taking taylor expansion of z in z 1.558 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.558 * [taylor]: Taking taylor expansion of -1 in z 1.558 * [taylor]: Taking taylor expansion of z in z 1.561 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z))) in y 1.561 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.561 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.561 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in y 1.562 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 1.562 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in y 1.562 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.562 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.562 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.562 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.562 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.562 * [taylor]: Taking taylor expansion of x in y 1.562 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.562 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.562 * [taylor]: Taking taylor expansion of y in y 1.564 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.564 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.564 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.564 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.565 * [taylor]: Taking taylor expansion of x in y 1.565 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.565 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.565 * [taylor]: Taking taylor expansion of y in y 1.567 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 1.567 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.567 * [taylor]: Taking taylor expansion of -1 in y 1.567 * [taylor]: Taking taylor expansion of z in y 1.567 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.567 * [taylor]: Taking taylor expansion of -1 in y 1.567 * [taylor]: Taking taylor expansion of z in y 1.569 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z))) in x 1.569 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.569 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.570 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 1.570 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 1.570 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in x 1.570 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.570 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.570 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.570 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.570 * [taylor]: Taking taylor expansion of x in x 1.571 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.571 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.571 * [taylor]: Taking taylor expansion of y in x 1.573 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.573 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.573 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.573 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.573 * [taylor]: Taking taylor expansion of x in x 1.574 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.574 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.574 * [taylor]: Taking taylor expansion of y in x 1.576 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 1.576 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.576 * [taylor]: Taking taylor expansion of -1 in x 1.576 * [taylor]: Taking taylor expansion of z in x 1.576 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.576 * [taylor]: Taking taylor expansion of -1 in x 1.576 * [taylor]: Taking taylor expansion of z in x 1.584 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z))) in x 1.584 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.584 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.585 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 1.585 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 1.585 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in x 1.585 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.585 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.585 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.586 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.586 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.586 * [taylor]: Taking taylor expansion of x in x 1.586 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.586 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.586 * [taylor]: Taking taylor expansion of y in x 1.588 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.588 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.588 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.588 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.588 * [taylor]: Taking taylor expansion of x in x 1.589 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.589 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.589 * [taylor]: Taking taylor expansion of y in x 1.591 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 1.591 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.591 * [taylor]: Taking taylor expansion of -1 in x 1.591 * [taylor]: Taking taylor expansion of z in x 1.592 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.592 * [taylor]: Taking taylor expansion of -1 in x 1.592 * [taylor]: Taking taylor expansion of z in x 1.594 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.594 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.595 * [taylor]: Taking taylor expansion of 0 in y 1.595 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.595 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.604 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 1.604 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 1.604 * [taylor]: Taking taylor expansion of 1/2 in y 1.604 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 1.604 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.604 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.604 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.605 * [taylor]: Taking taylor expansion of z in y 1.605 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 1.605 * [taylor]: Taking taylor expansion of 1/2 in y 1.605 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 1.605 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.605 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.606 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.606 * [taylor]: Taking taylor expansion of y in y 1.608 * [taylor]: Taking taylor expansion of 0 in z 1.609 * [taylor]: Taking taylor expansion of 0 in z 1.609 * [taylor]: Taking taylor expansion of 0 in z 1.616 * [taylor]: Taking taylor expansion of 0 in y 1.620 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 1.620 * [taylor]: Taking taylor expansion of 1/2 in z 1.620 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 1.620 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.620 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.621 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.621 * [taylor]: Taking taylor expansion of z in z 1.623 * [taylor]: Taking taylor expansion of 0 in z 1.624 * [taylor]: Taking taylor expansion of 0 in z 1.635 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))))) in y 1.635 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))) in y 1.635 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 1.635 * [taylor]: Taking taylor expansion of 1/8 in y 1.635 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 1.636 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.636 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.636 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.636 * [taylor]: Taking taylor expansion of z in y 1.637 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))) in y 1.637 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 1.637 * [taylor]: Taking taylor expansion of 1/4 in y 1.637 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 1.637 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.637 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.638 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.638 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.638 * [taylor]: Taking taylor expansion of z in y 1.638 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.638 * [taylor]: Taking taylor expansion of y in y 1.639 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 1.639 * [taylor]: Taking taylor expansion of 1/8 in y 1.639 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 1.639 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.639 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.640 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.640 * [taylor]: Taking taylor expansion of y in y 1.650 * [taylor]: Taking taylor expansion of 0 in z 1.651 * [taylor]: Taking taylor expansion of 0 in z 1.655 * [taylor]: Taking taylor expansion of 0 in z 1.655 * [taylor]: Taking taylor expansion of 0 in z 1.656 * [taylor]: Taking taylor expansion of 0 in z 1.659 * * * [progress]: simplifying candidates 1.659 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* x x) (* y y)))) (log1p (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (expm1 (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (log1p (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))) (+ (log (hypot (sqrt (+ (* x x) (* y y))) z)) (log (sqrt (/ 1 3.0)))) (log (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (exp (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (* (* (* (hypot (sqrt (+ (* x x) (* y y))) z) (hypot (sqrt (+ (* x x) (* y y))) z)) (hypot (sqrt (+ (* x x) (* y y))) z)) (* (* (sqrt (/ 1 3.0)) (sqrt (/ 1 3.0))) (sqrt (/ 1 3.0)))) (* (cbrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (cbrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))))) (cbrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (* (* (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (* (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* z z)) (/ 1 3.0)) (sqrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (sqrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt (/ 1 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (* (cbrt (sqrt (/ 1 3.0))) (cbrt (sqrt (/ 1 3.0))))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (* (cbrt (/ 1 3.0)) (cbrt (/ 1 3.0))))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (sqrt (/ 1 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 3.0) (cbrt 3.0))))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ (* (cbrt 1) (cbrt 1)) (sqrt 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ (* (cbrt 1) (cbrt 1)) 1))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ (sqrt 1) (* (cbrt 3.0) (cbrt 3.0))))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ (sqrt 1) 1))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0))))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 (sqrt 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 1))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 1)) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 1)) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (sqrt (/ 1 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) 1) (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 3.0))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 3.0))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 1)) y x (* -1 x) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) 1.665 * * [simplify]: iteration 0 : 244 enodes (cost 528 ) 1.671 * * [simplify]: iteration 1 : 742 enodes (cost 488 ) 1.686 * * [simplify]: iteration 2 : 1936 enodes (cost 471 ) 1.716 * * [simplify]: iteration 3 : 4655 enodes (cost 460 ) 1.788 * * [simplify]: iteration 4 : 5001 enodes (cost 460 ) 1.790 * [simplify]: Simplified to: (expm1 (sqrt (+ (* x x) (* y y)))) (log1p (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (hypot x y) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (hypot x y) (hypot (pow y 3) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (expm1 (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (log1p (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))) (log (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (log (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (exp (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (pow (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))) 3) (* (cbrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (cbrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))))) (cbrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (pow (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))) 3) (/ (fma z z (fma x x (* y y))) 3.0) (sqrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (sqrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt (/ 1 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (* (cbrt (sqrt (/ 1 3.0))) (cbrt (sqrt (/ 1 3.0))))) (* (fabs (cbrt (/ 1 3.0))) (hypot (sqrt (+ (* x x) (* y y))) z)) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (sqrt (/ 1 3.0)))) (* (fabs (/ 1 (cbrt 3.0))) (hypot (sqrt (+ (* x x) (* y y))) z)) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 (sqrt 3.0)))) (hypot (sqrt (+ (* x x) (* y y))) z) (* (fabs (/ 1 (cbrt 3.0))) (hypot (sqrt (+ (* x x) (* y y))) z)) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 (sqrt 3.0)))) (hypot (sqrt (+ (* x x) (* y y))) z) (* (fabs (/ 1 (cbrt 3.0))) (hypot (sqrt (+ (* x x) (* y y))) z)) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 (sqrt 3.0)))) (hypot (sqrt (+ (* x x) (* y y))) z) (hypot (sqrt (+ (* x x) (* y y))) z) (hypot (sqrt (+ (* x x) (* y y))) z) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (sqrt (/ 1 3.0)))) (hypot (sqrt (+ (* x x) (* y y))) z) (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 3.0))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 3.0))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))) (hypot (sqrt (+ (* x x) (* y y))) z) y x (* -1 x) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) 1.790 * * * [progress]: adding candidates to table 1.978 * * [progress]: iteration 4 / 4 1.978 * * * [progress]: picking best candidate 1.983 * * * * [pick]: Picked # 1.983 * * * [progress]: localizing error 1.991 * * * [progress]: generating rewritten candidates 1.991 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.007 * * * [progress]: generating series expansions 2.007 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.008 * [approximate]: Taking taylor expansion of (* (hypot (hypot x y) z) (sqrt 0.3333333333333333)) in (x y z) around 0 2.008 * [taylor]: Taking taylor expansion of (* (hypot (hypot x y) z) (sqrt 0.3333333333333333)) in z 2.008 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in z 2.008 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 2.008 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in z 2.008 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z 2.008 * [taylor]: Taking taylor expansion of (hypot x y) in z 2.009 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.009 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 2.009 * [taylor]: Taking taylor expansion of (* x x) in z 2.009 * [taylor]: Taking taylor expansion of x in z 2.009 * [taylor]: Taking taylor expansion of x in z 2.009 * [taylor]: Taking taylor expansion of (* y y) in z 2.009 * [taylor]: Taking taylor expansion of y in z 2.009 * [taylor]: Taking taylor expansion of y in z 2.010 * [taylor]: Taking taylor expansion of (hypot x y) in z 2.010 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.010 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 2.010 * [taylor]: Taking taylor expansion of (* x x) in z 2.010 * [taylor]: Taking taylor expansion of x in z 2.010 * [taylor]: Taking taylor expansion of x in z 2.010 * [taylor]: Taking taylor expansion of (* y y) in z 2.010 * [taylor]: Taking taylor expansion of y in z 2.010 * [taylor]: Taking taylor expansion of y in z 2.011 * [taylor]: Taking taylor expansion of (* z z) in z 2.011 * [taylor]: Taking taylor expansion of z in z 2.011 * [taylor]: Taking taylor expansion of z in z 2.013 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.013 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.014 * [taylor]: Taking taylor expansion of (* (hypot (hypot x y) z) (sqrt 0.3333333333333333)) in y 2.014 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in y 2.014 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 2.014 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in y 2.014 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y 2.014 * [taylor]: Taking taylor expansion of (hypot x y) in y 2.014 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.014 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 2.014 * [taylor]: Taking taylor expansion of (* x x) in y 2.014 * [taylor]: Taking taylor expansion of x in y 2.014 * [taylor]: Taking taylor expansion of x in y 2.015 * [taylor]: Taking taylor expansion of (* y y) in y 2.015 * [taylor]: Taking taylor expansion of y in y 2.015 * [taylor]: Taking taylor expansion of y in y 2.016 * [taylor]: Taking taylor expansion of (hypot x y) in y 2.016 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.016 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 2.016 * [taylor]: Taking taylor expansion of (* x x) in y 2.016 * [taylor]: Taking taylor expansion of x in y 2.016 * [taylor]: Taking taylor expansion of x in y 2.016 * [taylor]: Taking taylor expansion of (* y y) in y 2.016 * [taylor]: Taking taylor expansion of y in y 2.016 * [taylor]: Taking taylor expansion of y in y 2.018 * [taylor]: Taking taylor expansion of (* z z) in y 2.018 * [taylor]: Taking taylor expansion of z in y 2.018 * [taylor]: Taking taylor expansion of z in y 2.019 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.019 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.019 * [taylor]: Taking taylor expansion of (* (hypot (hypot x y) z) (sqrt 0.3333333333333333)) in x 2.019 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 2.020 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 2.020 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 2.020 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 2.020 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.020 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.020 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.020 * [taylor]: Taking taylor expansion of (* x x) in x 2.020 * [taylor]: Taking taylor expansion of x in x 2.020 * [taylor]: Taking taylor expansion of x in x 2.020 * [taylor]: Taking taylor expansion of (* y y) in x 2.020 * [taylor]: Taking taylor expansion of y in x 2.020 * [taylor]: Taking taylor expansion of y in x 2.021 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.021 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.021 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.021 * [taylor]: Taking taylor expansion of (* x x) in x 2.021 * [taylor]: Taking taylor expansion of x in x 2.021 * [taylor]: Taking taylor expansion of x in x 2.022 * [taylor]: Taking taylor expansion of (* y y) in x 2.022 * [taylor]: Taking taylor expansion of y in x 2.022 * [taylor]: Taking taylor expansion of y in x 2.023 * [taylor]: Taking taylor expansion of (* z z) in x 2.023 * [taylor]: Taking taylor expansion of z in x 2.023 * [taylor]: Taking taylor expansion of z in x 2.024 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 2.024 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.025 * [taylor]: Taking taylor expansion of (* (hypot (hypot x y) z) (sqrt 0.3333333333333333)) in x 2.025 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 2.025 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 2.025 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 2.025 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 2.025 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.025 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.025 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.025 * [taylor]: Taking taylor expansion of (* x x) in x 2.025 * [taylor]: Taking taylor expansion of x in x 2.025 * [taylor]: Taking taylor expansion of x in x 2.025 * [taylor]: Taking taylor expansion of (* y y) in x 2.025 * [taylor]: Taking taylor expansion of y in x 2.025 * [taylor]: Taking taylor expansion of y in x 2.027 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.027 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.027 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.027 * [taylor]: Taking taylor expansion of (* x x) in x 2.027 * [taylor]: Taking taylor expansion of x in x 2.027 * [taylor]: Taking taylor expansion of x in x 2.027 * [taylor]: Taking taylor expansion of (* y y) in x 2.027 * [taylor]: Taking taylor expansion of y in x 2.027 * [taylor]: Taking taylor expansion of y in x 2.028 * [taylor]: Taking taylor expansion of (* z z) in x 2.028 * [taylor]: Taking taylor expansion of z in x 2.028 * [taylor]: Taking taylor expansion of z in x 2.029 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 2.029 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.031 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y 2.031 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 2.031 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 2.031 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.031 * [taylor]: Taking taylor expansion of y in y 2.031 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.031 * [taylor]: Taking taylor expansion of z in y 2.032 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.032 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.033 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z 2.033 * [taylor]: Taking taylor expansion of z in z 2.033 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.033 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.035 * [taylor]: Taking taylor expansion of 0 in y 2.035 * [taylor]: Taking taylor expansion of 0 in z 2.035 * [taylor]: Taking taylor expansion of 0 in z 2.043 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y 2.043 * [taylor]: Taking taylor expansion of 1/2 in y 2.043 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 2.043 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 2.043 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 2.043 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 2.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.043 * [taylor]: Taking taylor expansion of y in y 2.043 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.043 * [taylor]: Taking taylor expansion of z in y 2.044 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.044 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.046 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 2.046 * [taylor]: Taking taylor expansion of 1/2 in z 2.046 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 2.046 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.046 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.047 * [taylor]: Taking taylor expansion of z in z 2.048 * [taylor]: Taking taylor expansion of 0 in z 2.051 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 2.051 * [taylor]: Taking taylor expansion of 1/2 in z 2.051 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 2.051 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.051 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.052 * [taylor]: Taking taylor expansion of z in z 2.056 * [approximate]: Taking taylor expansion of (* (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) (sqrt 0.3333333333333333)) in (x y z) around 0 2.056 * [taylor]: Taking taylor expansion of (* (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) (sqrt 0.3333333333333333)) in z 2.056 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in z 2.056 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 2.056 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in z 2.056 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z 2.056 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 2.057 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.057 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 2.057 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 2.057 * [taylor]: Taking taylor expansion of (/ 1 x) in z 2.057 * [taylor]: Taking taylor expansion of x in z 2.057 * [taylor]: Taking taylor expansion of (/ 1 x) in z 2.057 * [taylor]: Taking taylor expansion of x in z 2.057 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 2.057 * [taylor]: Taking taylor expansion of (/ 1 y) in z 2.057 * [taylor]: Taking taylor expansion of y in z 2.057 * [taylor]: Taking taylor expansion of (/ 1 y) in z 2.057 * [taylor]: Taking taylor expansion of y in z 2.058 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 2.058 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.058 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 2.058 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 2.058 * [taylor]: Taking taylor expansion of (/ 1 x) in z 2.058 * [taylor]: Taking taylor expansion of x in z 2.058 * [taylor]: Taking taylor expansion of (/ 1 x) in z 2.058 * [taylor]: Taking taylor expansion of x in z 2.059 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 2.059 * [taylor]: Taking taylor expansion of (/ 1 y) in z 2.059 * [taylor]: Taking taylor expansion of y in z 2.059 * [taylor]: Taking taylor expansion of (/ 1 y) in z 2.059 * [taylor]: Taking taylor expansion of y in z 2.060 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 2.060 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.060 * [taylor]: Taking taylor expansion of z in z 2.060 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.060 * [taylor]: Taking taylor expansion of z in z 2.063 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.063 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.064 * [taylor]: Taking taylor expansion of (* (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) (sqrt 0.3333333333333333)) in y 2.064 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y 2.064 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 2.064 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y 2.064 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 2.064 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 2.064 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.064 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 2.064 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.064 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.064 * [taylor]: Taking taylor expansion of x in y 2.064 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.064 * [taylor]: Taking taylor expansion of x in y 2.064 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.065 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.065 * [taylor]: Taking taylor expansion of y in y 2.065 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.065 * [taylor]: Taking taylor expansion of y in y 2.068 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 2.068 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.068 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 2.068 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.068 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.068 * [taylor]: Taking taylor expansion of x in y 2.068 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.068 * [taylor]: Taking taylor expansion of x in y 2.068 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.068 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.068 * [taylor]: Taking taylor expansion of y in y 2.069 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.069 * [taylor]: Taking taylor expansion of y in y 2.071 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 2.071 * [taylor]: Taking taylor expansion of (/ 1 z) in y 2.071 * [taylor]: Taking taylor expansion of z in y 2.072 * [taylor]: Taking taylor expansion of (/ 1 z) in y 2.072 * [taylor]: Taking taylor expansion of z in y 2.073 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.073 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.074 * [taylor]: Taking taylor expansion of (* (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) (sqrt 0.3333333333333333)) in x 2.074 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 2.074 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 2.074 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 2.074 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 2.074 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.074 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.074 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.074 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.075 * [taylor]: Taking taylor expansion of x in x 2.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.075 * [taylor]: Taking taylor expansion of x in x 2.075 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.075 * [taylor]: Taking taylor expansion of y in x 2.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.075 * [taylor]: Taking taylor expansion of y in x 2.078 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.078 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.078 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.078 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.078 * [taylor]: Taking taylor expansion of x in x 2.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.078 * [taylor]: Taking taylor expansion of x in x 2.079 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.079 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.079 * [taylor]: Taking taylor expansion of y in x 2.079 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.079 * [taylor]: Taking taylor expansion of y in x 2.081 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 2.081 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.082 * [taylor]: Taking taylor expansion of z in x 2.082 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.082 * [taylor]: Taking taylor expansion of z in x 2.084 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 2.084 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.085 * [taylor]: Taking taylor expansion of (* (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) (sqrt 0.3333333333333333)) in x 2.085 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 2.085 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 2.085 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 2.085 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 2.085 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.085 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.085 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.085 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.085 * [taylor]: Taking taylor expansion of x in x 2.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.085 * [taylor]: Taking taylor expansion of x in x 2.086 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.086 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.086 * [taylor]: Taking taylor expansion of y in x 2.086 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.086 * [taylor]: Taking taylor expansion of y in x 2.088 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.089 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.089 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.089 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.089 * [taylor]: Taking taylor expansion of x in x 2.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.089 * [taylor]: Taking taylor expansion of x in x 2.089 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.090 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.090 * [taylor]: Taking taylor expansion of y in x 2.090 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.090 * [taylor]: Taking taylor expansion of y in x 2.098 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 2.098 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.098 * [taylor]: Taking taylor expansion of z in x 2.098 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.098 * [taylor]: Taking taylor expansion of z in x 2.100 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 2.100 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.102 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.102 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.103 * [taylor]: Taking taylor expansion of 0 in y 2.103 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.103 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.112 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 2.113 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 2.113 * [taylor]: Taking taylor expansion of 1/2 in y 2.113 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 2.113 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.113 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.113 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.113 * [taylor]: Taking taylor expansion of z in y 2.114 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 2.114 * [taylor]: Taking taylor expansion of 1/2 in y 2.114 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 2.114 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.114 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.115 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.115 * [taylor]: Taking taylor expansion of y in y 2.117 * [taylor]: Taking taylor expansion of 0 in z 2.117 * [taylor]: Taking taylor expansion of 0 in z 2.117 * [taylor]: Taking taylor expansion of 0 in z 2.126 * [taylor]: Taking taylor expansion of 0 in y 2.129 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 2.130 * [taylor]: Taking taylor expansion of 1/2 in z 2.130 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 2.130 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.130 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.130 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.130 * [taylor]: Taking taylor expansion of z in z 2.133 * [taylor]: Taking taylor expansion of 0 in z 2.133 * [taylor]: Taking taylor expansion of 0 in z 2.146 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))))) in y 2.146 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))) in y 2.146 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 2.146 * [taylor]: Taking taylor expansion of 1/8 in y 2.146 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 2.146 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.146 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.147 * [taylor]: Taking taylor expansion of (pow z 4) in y 2.147 * [taylor]: Taking taylor expansion of z in y 2.148 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))) in y 2.148 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 2.148 * [taylor]: Taking taylor expansion of 1/4 in y 2.148 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 2.148 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.148 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.149 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 2.149 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.149 * [taylor]: Taking taylor expansion of z in y 2.149 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.149 * [taylor]: Taking taylor expansion of y in y 2.150 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 2.150 * [taylor]: Taking taylor expansion of 1/8 in y 2.150 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 2.150 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.150 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.151 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.151 * [taylor]: Taking taylor expansion of y in y 2.161 * [taylor]: Taking taylor expansion of 0 in z 2.161 * [taylor]: Taking taylor expansion of 0 in z 2.165 * [taylor]: Taking taylor expansion of 0 in z 2.166 * [taylor]: Taking taylor expansion of 0 in z 2.166 * [taylor]: Taking taylor expansion of 0 in z 2.170 * [approximate]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z))) in (x y z) around 0 2.170 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z))) in z 2.170 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.170 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.171 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in z 2.171 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.171 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in z 2.171 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z 2.171 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 2.171 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.171 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 2.171 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 2.171 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.171 * [taylor]: Taking taylor expansion of -1 in z 2.171 * [taylor]: Taking taylor expansion of x in z 2.171 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.171 * [taylor]: Taking taylor expansion of -1 in z 2.171 * [taylor]: Taking taylor expansion of x in z 2.171 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 2.171 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.171 * [taylor]: Taking taylor expansion of -1 in z 2.172 * [taylor]: Taking taylor expansion of y in z 2.172 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.172 * [taylor]: Taking taylor expansion of -1 in z 2.172 * [taylor]: Taking taylor expansion of y in z 2.173 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 2.173 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.173 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 2.173 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 2.173 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.173 * [taylor]: Taking taylor expansion of -1 in z 2.173 * [taylor]: Taking taylor expansion of x in z 2.173 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.173 * [taylor]: Taking taylor expansion of -1 in z 2.173 * [taylor]: Taking taylor expansion of x in z 2.173 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 2.173 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.173 * [taylor]: Taking taylor expansion of -1 in z 2.173 * [taylor]: Taking taylor expansion of y in z 2.173 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.173 * [taylor]: Taking taylor expansion of -1 in z 2.173 * [taylor]: Taking taylor expansion of y in z 2.175 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 2.175 * [taylor]: Taking taylor expansion of (/ -1 z) in z 2.175 * [taylor]: Taking taylor expansion of -1 in z 2.175 * [taylor]: Taking taylor expansion of z in z 2.175 * [taylor]: Taking taylor expansion of (/ -1 z) in z 2.175 * [taylor]: Taking taylor expansion of -1 in z 2.175 * [taylor]: Taking taylor expansion of z in z 2.178 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z))) in y 2.178 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.179 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.179 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y 2.179 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.179 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y 2.179 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y 2.179 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 2.180 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.180 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 2.180 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.180 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.180 * [taylor]: Taking taylor expansion of -1 in y 2.180 * [taylor]: Taking taylor expansion of x in y 2.180 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.180 * [taylor]: Taking taylor expansion of -1 in y 2.180 * [taylor]: Taking taylor expansion of x in y 2.180 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.180 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.180 * [taylor]: Taking taylor expansion of -1 in y 2.180 * [taylor]: Taking taylor expansion of y in y 2.180 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.180 * [taylor]: Taking taylor expansion of -1 in y 2.180 * [taylor]: Taking taylor expansion of y in y 2.183 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 2.183 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.183 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 2.183 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.183 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.183 * [taylor]: Taking taylor expansion of -1 in y 2.183 * [taylor]: Taking taylor expansion of x in y 2.183 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.183 * [taylor]: Taking taylor expansion of -1 in y 2.183 * [taylor]: Taking taylor expansion of x in y 2.184 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.184 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.184 * [taylor]: Taking taylor expansion of -1 in y 2.184 * [taylor]: Taking taylor expansion of y in y 2.184 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.184 * [taylor]: Taking taylor expansion of -1 in y 2.184 * [taylor]: Taking taylor expansion of y in y 2.193 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 2.193 * [taylor]: Taking taylor expansion of (/ -1 z) in y 2.193 * [taylor]: Taking taylor expansion of -1 in y 2.193 * [taylor]: Taking taylor expansion of z in y 2.193 * [taylor]: Taking taylor expansion of (/ -1 z) in y 2.193 * [taylor]: Taking taylor expansion of -1 in y 2.194 * [taylor]: Taking taylor expansion of z in y 2.195 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z))) in x 2.195 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 2.195 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.196 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 2.196 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.196 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 2.196 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 2.196 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.197 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.197 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.197 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.197 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.197 * [taylor]: Taking taylor expansion of -1 in x 2.197 * [taylor]: Taking taylor expansion of x in x 2.197 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.197 * [taylor]: Taking taylor expansion of -1 in x 2.197 * [taylor]: Taking taylor expansion of x in x 2.197 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.197 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.197 * [taylor]: Taking taylor expansion of -1 in x 2.197 * [taylor]: Taking taylor expansion of y in x 2.197 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.198 * [taylor]: Taking taylor expansion of -1 in x 2.198 * [taylor]: Taking taylor expansion of y in x 2.200 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.200 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.200 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.200 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.200 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.201 * [taylor]: Taking taylor expansion of -1 in x 2.201 * [taylor]: Taking taylor expansion of x in x 2.201 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.201 * [taylor]: Taking taylor expansion of -1 in x 2.201 * [taylor]: Taking taylor expansion of x in x 2.201 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.201 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.201 * [taylor]: Taking taylor expansion of -1 in x 2.201 * [taylor]: Taking taylor expansion of y in x 2.201 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.201 * [taylor]: Taking taylor expansion of -1 in x 2.201 * [taylor]: Taking taylor expansion of y in x 2.204 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 2.204 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.204 * [taylor]: Taking taylor expansion of -1 in x 2.204 * [taylor]: Taking taylor expansion of z in x 2.204 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.204 * [taylor]: Taking taylor expansion of -1 in x 2.204 * [taylor]: Taking taylor expansion of z in x 2.206 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z))) in x 2.206 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 2.206 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.207 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 2.207 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.207 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 2.207 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 2.207 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.207 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.207 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.207 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.207 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.207 * [taylor]: Taking taylor expansion of -1 in x 2.207 * [taylor]: Taking taylor expansion of x in x 2.208 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.208 * [taylor]: Taking taylor expansion of -1 in x 2.208 * [taylor]: Taking taylor expansion of x in x 2.208 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.208 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.208 * [taylor]: Taking taylor expansion of -1 in x 2.208 * [taylor]: Taking taylor expansion of y in x 2.208 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.208 * [taylor]: Taking taylor expansion of -1 in x 2.208 * [taylor]: Taking taylor expansion of y in x 2.211 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.211 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.211 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.211 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.211 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.211 * [taylor]: Taking taylor expansion of -1 in x 2.211 * [taylor]: Taking taylor expansion of x in x 2.212 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.212 * [taylor]: Taking taylor expansion of -1 in x 2.212 * [taylor]: Taking taylor expansion of x in x 2.212 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.212 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.212 * [taylor]: Taking taylor expansion of -1 in x 2.212 * [taylor]: Taking taylor expansion of y in x 2.212 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.212 * [taylor]: Taking taylor expansion of -1 in x 2.212 * [taylor]: Taking taylor expansion of y in x 2.215 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 2.215 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.215 * [taylor]: Taking taylor expansion of -1 in x 2.215 * [taylor]: Taking taylor expansion of z in x 2.215 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.215 * [taylor]: Taking taylor expansion of -1 in x 2.215 * [taylor]: Taking taylor expansion of z in x 2.217 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.218 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.219 * [taylor]: Taking taylor expansion of 0 in y 2.219 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.219 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.228 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 2.228 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 2.228 * [taylor]: Taking taylor expansion of 1/2 in y 2.228 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 2.228 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.229 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.229 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.229 * [taylor]: Taking taylor expansion of z in y 2.230 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 2.230 * [taylor]: Taking taylor expansion of 1/2 in y 2.230 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 2.230 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.230 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.231 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.231 * [taylor]: Taking taylor expansion of y in y 2.233 * [taylor]: Taking taylor expansion of 0 in z 2.233 * [taylor]: Taking taylor expansion of 0 in z 2.233 * [taylor]: Taking taylor expansion of 0 in z 2.242 * [taylor]: Taking taylor expansion of 0 in y 2.246 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 2.246 * [taylor]: Taking taylor expansion of 1/2 in z 2.246 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 2.246 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.246 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.247 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.247 * [taylor]: Taking taylor expansion of z in z 2.249 * [taylor]: Taking taylor expansion of 0 in z 2.250 * [taylor]: Taking taylor expansion of 0 in z 2.263 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))))) in y 2.263 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))) in y 2.263 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 2.263 * [taylor]: Taking taylor expansion of 1/8 in y 2.263 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 2.263 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.263 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.264 * [taylor]: Taking taylor expansion of (pow z 4) in y 2.264 * [taylor]: Taking taylor expansion of z in y 2.264 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))) in y 2.264 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 2.264 * [taylor]: Taking taylor expansion of 1/4 in y 2.264 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 2.264 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.265 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.265 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 2.265 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.265 * [taylor]: Taking taylor expansion of z in y 2.265 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.265 * [taylor]: Taking taylor expansion of y in y 2.266 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 2.266 * [taylor]: Taking taylor expansion of 1/8 in y 2.266 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 2.266 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.266 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.267 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.267 * [taylor]: Taking taylor expansion of y in y 2.277 * [taylor]: Taking taylor expansion of 0 in z 2.277 * [taylor]: Taking taylor expansion of 0 in z 2.288 * [taylor]: Taking taylor expansion of 0 in z 2.288 * [taylor]: Taking taylor expansion of 0 in z 2.289 * [taylor]: Taking taylor expansion of 0 in z 2.292 * * * [progress]: simplifying candidates 2.293 * [simplify]: Simplifying using # : (expm1 (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (log1p (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (* (hypot (hypot x y) z) (sqrt (/ 1 3.0))) (+ (log (hypot (hypot x y) z)) (log (sqrt (/ 1 3.0)))) (log (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (exp (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (* (* (* (hypot (hypot x y) z) (hypot (hypot x y) z)) (hypot (hypot x y) z)) (* (* (sqrt (/ 1 3.0)) (sqrt (/ 1 3.0))) (sqrt (/ 1 3.0)))) (* (cbrt (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (cbrt (* (hypot (hypot x y) z) (sqrt (/ 1 3.0))))) (cbrt (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (* (* (* (hypot (hypot x y) z) (sqrt (/ 1 3.0))) (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (* (+ (* (hypot x y) (hypot x y)) (* z z)) (/ 1 3.0)) (sqrt (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (sqrt (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (* (sqrt (hypot (hypot x y) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (hypot x y) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (hypot x y) z)) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (hypot (hypot x y) z)) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (hypot (hypot x y) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (hypot x y) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (hypot x y) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (hypot x y) z)) (sqrt (sqrt (/ 1 3.0)))) (* (hypot (hypot x y) z) (* (cbrt (sqrt (/ 1 3.0))) (cbrt (sqrt (/ 1 3.0))))) (* (hypot (hypot x y) z) (sqrt (* (cbrt (/ 1 3.0)) (cbrt (/ 1 3.0))))) (* (hypot (hypot x y) z) (sqrt (sqrt (/ 1 3.0)))) (* (hypot (hypot x y) z) (sqrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 3.0) (cbrt 3.0))))) (* (hypot (hypot x y) z) (sqrt (/ (* (cbrt 1) (cbrt 1)) (sqrt 3.0)))) (* (hypot (hypot x y) z) (sqrt (/ (* (cbrt 1) (cbrt 1)) 1))) (* (hypot (hypot x y) z) (sqrt (/ (sqrt 1) (* (cbrt 3.0) (cbrt 3.0))))) (* (hypot (hypot x y) z) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (hypot (hypot x y) z) (sqrt (/ (sqrt 1) 1))) (* (hypot (hypot x y) z) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0))))) (* (hypot (hypot x y) z) (sqrt (/ 1 (sqrt 3.0)))) (* (hypot (hypot x y) z) (sqrt (/ 1 1))) (* (hypot (hypot x y) z) (sqrt 1)) (* (hypot (hypot x y) z) (sqrt 1)) (* (hypot (hypot x y) z) (sqrt (sqrt (/ 1 3.0)))) (* (hypot (hypot x y) z) 1) (* (cbrt (hypot (hypot x y) z)) (sqrt (/ 1 3.0))) (* (sqrt (hypot (hypot x y) z)) (sqrt (/ 1 3.0))) (* (hypot (hypot x y) z) (sqrt (/ 1 3.0))) (* (hypot (hypot x y) z) (sqrt 1)) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) 2.297 * * [simplify]: iteration 0 : 156 enodes (cost 290 ) 2.302 * * [simplify]: iteration 1 : 490 enodes (cost 268 ) 2.311 * * [simplify]: iteration 2 : 1216 enodes (cost 252 ) 2.327 * * [simplify]: iteration 3 : 2232 enodes (cost 241 ) 2.356 * * [simplify]: iteration 4 : 5003 enodes (cost 241 ) 2.358 * [simplify]: Simplified to: (expm1 (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (log1p (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (* (hypot (hypot x y) z) (sqrt (/ 1 3.0))) (log (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (log (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (exp (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (pow (* (hypot (hypot x y) z) (sqrt (/ 1 3.0))) 3) (* (cbrt (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (cbrt (* (hypot (hypot x y) z) (sqrt (/ 1 3.0))))) (cbrt (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (pow (* (hypot (hypot x y) z) (sqrt (/ 1 3.0))) 3) (/ (fma (hypot x y) (hypot x y) (* z z)) 3.0) (sqrt (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (sqrt (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (* (sqrt (hypot (hypot x y) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (hypot x y) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (hypot x y) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (hypot x y) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (hypot x y) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (hypot x y) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (hypot x y) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (hypot x y) z)) (sqrt (sqrt (/ 1 3.0)))) (* (hypot (hypot x y) z) (* (cbrt (sqrt (/ 1 3.0))) (cbrt (sqrt (/ 1 3.0))))) (* (fabs (cbrt (/ 1 3.0))) (hypot (hypot x y) z)) (* (hypot (hypot x y) z) (sqrt (sqrt (/ 1 3.0)))) (* (fabs (/ 1 (cbrt 3.0))) (hypot (hypot x y) z)) (* (hypot (hypot x y) z) (sqrt (/ 1 (sqrt 3.0)))) (hypot (hypot x y) z) (* (fabs (/ 1 (cbrt 3.0))) (hypot (hypot x y) z)) (* (hypot (hypot x y) z) (sqrt (/ 1 (sqrt 3.0)))) (hypot (hypot x y) z) (* (fabs (/ 1 (cbrt 3.0))) (hypot (hypot x y) z)) (* (hypot (hypot x y) z) (sqrt (/ 1 (sqrt 3.0)))) (hypot (hypot x y) z) (hypot (hypot x y) z) (hypot (hypot x y) z) (* (hypot (hypot x y) z) (sqrt (sqrt (/ 1 3.0)))) (hypot (hypot x y) z) (* (cbrt (hypot (hypot x y) z)) (sqrt (/ 1 3.0))) (* (sqrt (hypot (hypot x y) z)) (sqrt (/ 1 3.0))) (* (hypot (hypot x y) z) (sqrt (/ 1 3.0))) (hypot (hypot x y) z) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) 2.358 * * * [progress]: adding candidates to table 2.461 * [progress]: [Phase 3 of 3] Extracting. 2.461 * * [regime]: Finding splitpoints for: (# #) 2.462 * * * [regime-changes]: Trying 3 branch expressions: (z y x) 2.462 * * * * [regimes]: Trying to branch on z from (# #) 2.480 * * * * [regimes]: Trying to branch on y from (# #) 2.494 * * * * [regimes]: Trying to branch on x from (# #) 2.511 * * * [regime]: Found split indices: #