15.544 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying using # : (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) 0.024 * * [simplify]: iteration 0 : 16 enodes (cost 7 ) 0.027 * * [simplify]: iteration 1 : 27 enodes (cost 7 ) 0.031 * * [simplify]: iteration 2 : 33 enodes (cost 7 ) 0.034 * * [simplify]: iteration 3 : 34 enodes (cost 7 ) 0.037 * * [simplify]: iteration 4 : 34 enodes (cost 7 ) 0.037 * [simplify]: Simplified to: (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) 0.038 * * [progress]: iteration 1 / 4 0.038 * * * [progress]: picking best candidate 0.040 * * * * [pick]: Picked # 0.040 * * * [progress]: localizing error 0.051 * * * [progress]: generating rewritten candidates 0.051 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.068 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.098 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 1) 0.103 * * * [progress]: generating series expansions 0.103 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.103 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in (x y z) around 0 0.103 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z 0.103 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.103 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.103 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.103 * [taylor]: Taking taylor expansion of x in z 0.103 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.103 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.103 * [taylor]: Taking taylor expansion of y in z 0.103 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.103 * [taylor]: Taking taylor expansion of z in z 0.105 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.105 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.106 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 0.106 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.106 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.106 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.107 * [taylor]: Taking taylor expansion of x in y 0.107 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.107 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.107 * [taylor]: Taking taylor expansion of z in y 0.108 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.112 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.113 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x 0.113 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.113 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.114 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.114 * [taylor]: Taking taylor expansion of y in x 0.114 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.114 * [taylor]: Taking taylor expansion of z in x 0.115 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.115 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.116 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x 0.117 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.117 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.117 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.117 * [taylor]: Taking taylor expansion of y in x 0.117 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.117 * [taylor]: Taking taylor expansion of z in x 0.118 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.119 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.120 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y 0.120 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.120 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.120 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.120 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.120 * [taylor]: Taking taylor expansion of z in y 0.121 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.121 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.122 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z 0.122 * [taylor]: Taking taylor expansion of z in z 0.122 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.122 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.124 * [taylor]: Taking taylor expansion of 0 in y 0.124 * [taylor]: Taking taylor expansion of 0 in z 0.125 * [taylor]: Taking taylor expansion of 0 in z 0.131 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y 0.131 * [taylor]: Taking taylor expansion of 1/2 in y 0.131 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 0.131 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.131 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.131 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.131 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.131 * [taylor]: Taking taylor expansion of y in y 0.131 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.131 * [taylor]: Taking taylor expansion of z in y 0.133 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.133 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.134 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 0.135 * [taylor]: Taking taylor expansion of 1/2 in z 0.135 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 0.135 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.135 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.136 * [taylor]: Taking taylor expansion of z in z 0.138 * [taylor]: Taking taylor expansion of 0 in z 0.141 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 0.141 * [taylor]: Taking taylor expansion of 1/2 in z 0.141 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) 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 z in z 0.146 * [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 0.146 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.146 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.146 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.146 * [taylor]: Taking taylor expansion of x in z 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.147 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.147 * [taylor]: Taking taylor expansion of z in z 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.148 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.148 * [taylor]: Taking taylor expansion of y in z 0.151 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.151 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.152 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 0.152 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.152 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.152 * [taylor]: Taking taylor expansion of x in y 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.152 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.152 * [taylor]: Taking taylor expansion of z in y 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.152 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.152 * [taylor]: Taking taylor expansion of y in y 0.156 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.156 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.157 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.157 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.157 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.158 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.158 * [taylor]: Taking taylor expansion of z in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.158 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.158 * [taylor]: Taking taylor expansion of y in x 0.160 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.160 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.161 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.161 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.162 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.162 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.162 * [taylor]: Taking taylor expansion of z in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.163 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.165 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.165 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.166 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.166 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.168 * [taylor]: Taking taylor expansion of 0 in y 0.168 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.168 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.173 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 0.173 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 0.173 * [taylor]: Taking taylor expansion of 1/2 in y 0.173 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 0.173 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.173 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.174 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.174 * [taylor]: Taking taylor expansion of z in y 0.174 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 0.174 * [taylor]: Taking taylor expansion of 1/2 in y 0.174 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 0.174 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.174 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.175 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.175 * [taylor]: Taking taylor expansion of y in y 0.178 * [taylor]: Taking taylor expansion of 0 in z 0.178 * [taylor]: Taking taylor expansion of 0 in z 0.178 * [taylor]: Taking taylor expansion of 0 in z 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.187 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 0.187 * [taylor]: Taking taylor expansion of 1/2 in z 0.187 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 0.187 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.187 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.188 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.188 * [taylor]: Taking taylor expansion of z in z 0.190 * [taylor]: Taking taylor expansion of 0 in z 0.191 * [taylor]: Taking taylor expansion of 0 in z 0.199 * [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 0.199 * [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 0.199 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 0.199 * [taylor]: Taking taylor expansion of 1/8 in y 0.199 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 0.199 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.199 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.200 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.200 * [taylor]: Taking taylor expansion of z in y 0.200 * [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 0.200 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 0.200 * [taylor]: Taking taylor expansion of 1/4 in y 0.200 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 0.200 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.200 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.201 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.201 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.201 * [taylor]: Taking taylor expansion of z in y 0.201 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.201 * [taylor]: Taking taylor expansion of y in y 0.202 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 0.202 * [taylor]: Taking taylor expansion of 1/8 in y 0.202 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 0.202 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.202 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.203 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.203 * [taylor]: Taking taylor expansion of y in y 0.214 * [taylor]: Taking taylor expansion of 0 in z 0.214 * [taylor]: Taking taylor expansion of 0 in z 0.222 * [taylor]: Taking taylor expansion of 0 in z 0.222 * [taylor]: Taking taylor expansion of 0 in z 0.223 * [taylor]: Taking taylor expansion of 0 in z 0.226 * [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 0.226 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.227 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.227 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.227 * [taylor]: Taking taylor expansion of x in z 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.227 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.227 * [taylor]: Taking taylor expansion of z in z 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.227 * [taylor]: Taking taylor expansion of y in z 0.230 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.230 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.231 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 0.231 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.231 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.231 * [taylor]: Taking taylor expansion of x in y 0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.231 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.231 * [taylor]: Taking taylor expansion of z in y 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.231 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.231 * [taylor]: Taking taylor expansion of y in y 0.234 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.234 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.235 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.235 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.235 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.236 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.236 * [taylor]: Taking taylor expansion of z in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.236 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.236 * [taylor]: Taking taylor expansion of y in x 0.238 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.238 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.239 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.239 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.239 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.239 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.240 * [taylor]: Taking taylor expansion of z in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.240 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.240 * [taylor]: Taking taylor expansion of y in x 0.242 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.242 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.243 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.243 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.245 * [taylor]: Taking taylor expansion of 0 in y 0.245 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.245 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.250 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 0.250 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 0.250 * [taylor]: Taking taylor expansion of 1/2 in y 0.250 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 0.250 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.250 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.251 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.251 * [taylor]: Taking taylor expansion of z in y 0.251 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 0.251 * [taylor]: Taking taylor expansion of 1/2 in y 0.251 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 0.251 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.251 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.252 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.255 * [taylor]: Taking taylor expansion of 0 in z 0.255 * [taylor]: Taking taylor expansion of 0 in z 0.255 * [taylor]: Taking taylor expansion of 0 in z 0.260 * [taylor]: Taking taylor expansion of 0 in y 0.263 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 0.263 * [taylor]: Taking taylor expansion of 1/2 in z 0.263 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 0.263 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.263 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.264 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.264 * [taylor]: Taking taylor expansion of z in z 0.267 * [taylor]: Taking taylor expansion of 0 in z 0.267 * [taylor]: Taking taylor expansion of 0 in z 0.274 * [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 0.274 * [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 0.274 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 0.274 * [taylor]: Taking taylor expansion of 1/8 in y 0.274 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 0.274 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.274 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.275 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.275 * [taylor]: Taking taylor expansion of z in y 0.276 * [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 0.276 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 0.276 * [taylor]: Taking taylor expansion of 1/4 in y 0.276 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 0.276 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.276 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.277 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.277 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.277 * [taylor]: Taking taylor expansion of z in y 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.278 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 0.278 * [taylor]: Taking taylor expansion of 1/8 in y 0.278 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 0.278 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.278 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.279 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.289 * [taylor]: Taking taylor expansion of 0 in z 0.289 * [taylor]: Taking taylor expansion of 0 in z 0.293 * [taylor]: Taking taylor expansion of 0 in z 0.293 * [taylor]: Taking taylor expansion of 0 in z 0.294 * [taylor]: Taking taylor expansion of 0 in z 0.297 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.297 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.297 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.297 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.297 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.297 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.297 * [taylor]: Taking taylor expansion of x in z 0.297 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.297 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.297 * [taylor]: Taking taylor expansion of y in z 0.297 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.297 * [taylor]: Taking taylor expansion of z in z 0.297 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.297 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.297 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.297 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.297 * [taylor]: Taking taylor expansion of x in y 0.297 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.297 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.297 * [taylor]: Taking taylor expansion of y in y 0.297 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.297 * [taylor]: Taking taylor expansion of z in y 0.297 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.297 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.297 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 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 0.297 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 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 (pow z 2) in x 0.297 * [taylor]: Taking taylor expansion of z in x 0.297 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.297 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.297 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 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 0.297 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 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 0.298 * [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 (* 0.3333333333333333 (+ (pow y 2) (pow z 2))) in y 0.298 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.298 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.298 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.298 * [taylor]: Taking taylor expansion of y in y 0.298 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.298 * [taylor]: Taking taylor expansion of z in y 0.298 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow z 2)) in z 0.298 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.298 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.298 * [taylor]: Taking taylor expansion of z in z 0.300 * [taylor]: Taking taylor expansion of 0 in y 0.300 * [taylor]: Taking taylor expansion of 0 in z 0.300 * [taylor]: Taking taylor expansion of 0 in z 0.302 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.302 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.302 * [taylor]: Taking taylor expansion of 0 in z 0.304 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.306 * [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 0.306 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.306 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.306 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.306 * [taylor]: Taking taylor expansion of x in z 0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.306 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.306 * [taylor]: Taking taylor expansion of z in z 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.306 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.307 * [taylor]: Taking taylor expansion of y in z 0.307 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.307 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.307 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.307 * [taylor]: Taking taylor expansion of x in y 0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.307 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.307 * [taylor]: Taking taylor expansion of z in y 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.307 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.307 * [taylor]: Taking taylor expansion of y in y 0.308 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.308 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.308 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.308 * [taylor]: Taking taylor expansion of z in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.309 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.309 * [taylor]: Taking taylor expansion of y in x 0.309 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.309 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.309 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.309 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.309 * [taylor]: Taking taylor expansion of z in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.310 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.310 * [taylor]: Taking taylor expansion of y in x 0.310 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.312 * [taylor]: Taking taylor expansion of 0 in y 0.318 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow z 2))) (* 0.3333333333333333 (/ 1 (pow y 2)))) in y 0.318 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in y 0.318 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.318 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.318 * [taylor]: Taking taylor expansion of z in y 0.318 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow y 2))) in y 0.318 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.318 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.319 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.322 * [taylor]: Taking taylor expansion of 0 in y 0.324 * [taylor]: Taking taylor expansion of 0 in z 0.324 * [taylor]: Taking taylor expansion of 0 in z 0.324 * [taylor]: Taking taylor expansion of 0 in z 0.328 * [taylor]: Taking taylor expansion of 0 in y 0.329 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in z 0.330 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.330 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.330 * [taylor]: Taking taylor expansion of z in z 0.330 * [taylor]: Taking taylor expansion of 0 in z 0.330 * [taylor]: Taking taylor expansion of 0 in z 0.332 * [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 0.332 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.332 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.332 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.332 * [taylor]: Taking taylor expansion of x in z 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.332 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.332 * [taylor]: Taking taylor expansion of z in z 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.332 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.332 * [taylor]: Taking taylor expansion of y in z 0.333 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.333 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.333 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.333 * [taylor]: Taking taylor expansion of x in y 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.333 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.333 * [taylor]: Taking taylor expansion of z in y 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.334 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.334 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.334 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.334 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.334 * [taylor]: Taking taylor expansion of z in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.335 * [taylor]: Taking taylor expansion of y in x 0.335 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.335 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.335 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.335 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.335 * [taylor]: Taking taylor expansion of z in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.336 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.336 * [taylor]: Taking taylor expansion of y in x 0.336 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.338 * [taylor]: Taking taylor expansion of 0 in y 0.340 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow z 2))) (* 0.3333333333333333 (/ 1 (pow y 2)))) in y 0.340 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in y 0.340 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.340 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.340 * [taylor]: Taking taylor expansion of z in y 0.340 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow y 2))) in y 0.340 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.341 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.341 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.344 * [taylor]: Taking taylor expansion of 0 in y 0.346 * [taylor]: Taking taylor expansion of 0 in z 0.346 * [taylor]: Taking taylor expansion of 0 in z 0.346 * [taylor]: Taking taylor expansion of 0 in z 0.349 * [taylor]: Taking taylor expansion of 0 in y 0.351 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in z 0.351 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.352 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.352 * [taylor]: Taking taylor expansion of z in z 0.352 * [taylor]: Taking taylor expansion of 0 in z 0.353 * [taylor]: Taking taylor expansion of 0 in z 0.353 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 1) 0.354 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.354 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.354 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.354 * [taylor]: Taking taylor expansion of x in y 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.354 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.354 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.354 * [taylor]: Taking taylor expansion of y in x 0.354 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.354 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.354 * [taylor]: Taking taylor expansion of y in x 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.355 * [taylor]: Taking taylor expansion of 0 in y 0.356 * [taylor]: Taking taylor expansion of 1 in y 0.357 * [taylor]: Taking taylor expansion of 0 in y 0.359 * [taylor]: Taking taylor expansion of 0 in y 0.360 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.360 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.360 * [taylor]: Taking taylor expansion of x in y 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.360 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.360 * [taylor]: Taking taylor expansion of y in y 0.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.361 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.361 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.361 * [taylor]: Taking taylor expansion of y in x 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.361 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.362 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.362 * [taylor]: Taking taylor expansion of y in x 0.363 * [taylor]: Taking taylor expansion of 1 in y 0.364 * [taylor]: Taking taylor expansion of 0 in y 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.365 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.365 * [taylor]: Taking taylor expansion of y in y 0.367 * [taylor]: Taking taylor expansion of 0 in y 0.370 * [taylor]: Taking taylor expansion of 0 in y 0.372 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.372 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.372 * [taylor]: Taking taylor expansion of x in y 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.372 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.372 * [taylor]: Taking taylor expansion of y in y 0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.373 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.373 * [taylor]: Taking taylor expansion of y in x 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of 1 in y 0.375 * [taylor]: Taking taylor expansion of 0 in y 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.377 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.377 * [taylor]: Taking taylor expansion of y in y 0.379 * [taylor]: Taking taylor expansion of 0 in y 0.382 * [taylor]: Taking taylor expansion of 0 in y 0.383 * * * [progress]: simplifying candidates 0.385 * [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))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (* 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)))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.391 * * [simplify]: iteration 0 : 310 enodes (cost 729 ) 0.398 * * [simplify]: iteration 1 : 1303 enodes (cost 650 ) 0.422 * * [simplify]: iteration 2 : 4811 enodes (cost 634 ) 0.520 * * [simplify]: iteration 3 : 5001 enodes (cost 634 ) 0.524 * [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))) 3.0) 3) (* (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))) 3.0) 3) (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))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (fma x x (* y y)) 3) (hypot x y) (hypot x y) (fma (* (pow y 4) y) y (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* x x) (* y y)) (* 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)))) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.524 * * * [progress]: adding candidates to table 0.775 * * [progress]: iteration 2 / 4 0.775 * * * [progress]: picking best candidate 0.785 * * * * [pick]: Picked # 0.785 * * * [progress]: localizing error 0.797 * * * [progress]: generating rewritten candidates 0.797 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.812 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.856 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 1) 0.861 * * * [progress]: generating series expansions 0.861 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.862 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.862 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.862 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.862 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.862 * [taylor]: Taking taylor expansion of x in z 0.862 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.862 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.862 * [taylor]: Taking taylor expansion of y in z 0.862 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.862 * [taylor]: Taking taylor expansion of z in z 0.864 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.864 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.864 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.864 * [taylor]: Taking taylor expansion of x in y 0.864 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.864 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.864 * [taylor]: Taking taylor expansion of y in y 0.864 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.864 * [taylor]: Taking taylor expansion of z in y 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 0.865 * [taylor]: Taking taylor expansion of z in x 0.867 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.867 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.867 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.867 * [taylor]: Taking taylor expansion of x in x 0.867 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.867 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.867 * [taylor]: Taking taylor expansion of y in x 0.867 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.867 * [taylor]: Taking taylor expansion of z in x 0.868 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.868 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.868 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.868 * [taylor]: Taking taylor expansion of y in y 0.868 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.868 * [taylor]: Taking taylor expansion of z in y 0.869 * [taylor]: Taking taylor expansion of z in z 0.869 * [taylor]: Taking taylor expansion of 0 in y 0.869 * [taylor]: Taking taylor expansion of 0 in z 0.869 * [taylor]: Taking taylor expansion of 0 in z 0.871 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.871 * [taylor]: Taking taylor expansion of 1/2 in y 0.871 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.871 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.871 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.871 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.871 * [taylor]: Taking taylor expansion of y in y 0.871 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.871 * [taylor]: Taking taylor expansion of z in y 0.872 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.872 * [taylor]: Taking taylor expansion of 1/2 in z 0.872 * [taylor]: Taking taylor expansion of z in z 0.873 * [taylor]: Taking taylor expansion of 0 in z 0.875 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.875 * [taylor]: Taking taylor expansion of 1/2 in z 0.875 * [taylor]: Taking taylor expansion of z in z 0.876 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.876 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.876 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.876 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.876 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.876 * [taylor]: Taking taylor expansion of x in z 0.877 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.877 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.877 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.877 * [taylor]: Taking taylor expansion of z in z 0.877 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.877 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.877 * [taylor]: Taking taylor expansion of y in z 0.880 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.880 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.880 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.880 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.880 * [taylor]: Taking taylor expansion of x in y 0.880 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.880 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.880 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.881 * [taylor]: Taking taylor expansion of z in y 0.881 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.881 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.881 * [taylor]: Taking taylor expansion of y in y 0.884 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.884 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.884 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.884 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.884 * [taylor]: Taking taylor expansion of x in x 0.885 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.885 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.885 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.885 * [taylor]: Taking taylor expansion of z in x 0.885 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.885 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.885 * [taylor]: Taking taylor expansion of y in x 0.888 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.888 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.888 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.888 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.888 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.888 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.888 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.888 * [taylor]: Taking taylor expansion of z in x 0.889 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.889 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.889 * [taylor]: Taking taylor expansion of y in x 0.891 * [taylor]: Taking taylor expansion of 1 in y 0.891 * [taylor]: Taking taylor expansion of 0 in y 0.891 * [taylor]: Taking taylor expansion of 1 in z 0.894 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.894 * [taylor]: Taking taylor expansion of 1/2 in y 0.894 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.894 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.894 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.894 * [taylor]: Taking taylor expansion of z in y 0.894 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.894 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.894 * [taylor]: Taking taylor expansion of y in y 0.896 * [taylor]: Taking taylor expansion of 0 in z 0.897 * [taylor]: Taking taylor expansion of 0 in z 0.897 * [taylor]: Taking taylor expansion of 0 in z 0.899 * [taylor]: Taking taylor expansion of 0 in y 0.901 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.901 * [taylor]: Taking taylor expansion of 1/2 in z 0.901 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.901 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.901 * [taylor]: Taking taylor expansion of z in z 0.903 * [taylor]: Taking taylor expansion of 0 in z 0.903 * [taylor]: Taking taylor expansion of 0 in z 0.908 * [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 0.908 * [taylor]: Taking taylor expansion of -1/2 in y 0.908 * [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 0.908 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.908 * [taylor]: Taking taylor expansion of 1/4 in y 0.908 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.908 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.908 * [taylor]: Taking taylor expansion of z in y 0.908 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.908 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.908 * [taylor]: Taking taylor expansion of 1/2 in y 0.908 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.908 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.908 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.908 * [taylor]: Taking taylor expansion of z in y 0.908 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.908 * [taylor]: Taking taylor expansion of y in y 0.909 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.909 * [taylor]: Taking taylor expansion of 1/4 in y 0.909 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.909 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.909 * [taylor]: Taking taylor expansion of y in y 0.924 * [taylor]: Taking taylor expansion of 0 in z 0.925 * [taylor]: Taking taylor expansion of 0 in z 0.927 * [taylor]: Taking taylor expansion of 0 in z 0.927 * [taylor]: Taking taylor expansion of 0 in z 0.927 * [taylor]: Taking taylor expansion of 0 in z 0.929 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.930 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.930 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.930 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.930 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.930 * [taylor]: Taking taylor expansion of x in z 0.930 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.930 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.930 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.930 * [taylor]: Taking taylor expansion of z in z 0.931 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.931 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.931 * [taylor]: Taking taylor expansion of y in z 0.934 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.934 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.934 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.934 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.934 * [taylor]: Taking taylor expansion of x in y 0.934 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.934 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.934 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.934 * [taylor]: Taking taylor expansion of z in y 0.934 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.934 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.934 * [taylor]: Taking taylor expansion of y in y 0.937 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.937 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.937 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.937 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.938 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.938 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.938 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.938 * [taylor]: Taking taylor expansion of z in x 0.938 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.938 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.938 * [taylor]: Taking taylor expansion of y in x 0.940 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.940 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.940 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.940 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.940 * [taylor]: Taking taylor expansion of x in x 0.941 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.941 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.941 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.941 * [taylor]: Taking taylor expansion of z in x 0.941 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.941 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.941 * [taylor]: Taking taylor expansion of y in x 0.943 * [taylor]: Taking taylor expansion of 1 in y 0.944 * [taylor]: Taking taylor expansion of 0 in y 0.944 * [taylor]: Taking taylor expansion of 1 in z 0.946 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.946 * [taylor]: Taking taylor expansion of 1/2 in y 0.946 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.946 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.946 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.946 * [taylor]: Taking taylor expansion of z in y 0.947 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.947 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.947 * [taylor]: Taking taylor expansion of y in y 0.949 * [taylor]: Taking taylor expansion of 0 in z 0.949 * [taylor]: Taking taylor expansion of 0 in z 0.949 * [taylor]: Taking taylor expansion of 0 in z 0.952 * [taylor]: Taking taylor expansion of 0 in y 0.954 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.954 * [taylor]: Taking taylor expansion of 1/2 in z 0.954 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.954 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.954 * [taylor]: Taking taylor expansion of z in z 0.956 * [taylor]: Taking taylor expansion of 0 in z 0.956 * [taylor]: Taking taylor expansion of 0 in z 0.960 * [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 0.961 * [taylor]: Taking taylor expansion of -1/2 in y 0.961 * [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 0.961 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.961 * [taylor]: Taking taylor expansion of 1/4 in y 0.961 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.961 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.961 * [taylor]: Taking taylor expansion of z in y 0.961 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.961 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.961 * [taylor]: Taking taylor expansion of 1/2 in y 0.961 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.961 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.961 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.961 * [taylor]: Taking taylor expansion of z in y 0.961 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.961 * [taylor]: Taking taylor expansion of y in y 0.962 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.962 * [taylor]: Taking taylor expansion of 1/4 in y 0.962 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.962 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.962 * [taylor]: Taking taylor expansion of y in y 0.973 * [taylor]: Taking taylor expansion of 0 in z 0.973 * [taylor]: Taking taylor expansion of 0 in z 0.976 * [taylor]: Taking taylor expansion of 0 in z 0.976 * [taylor]: Taking taylor expansion of 0 in z 0.976 * [taylor]: Taking taylor expansion of 0 in z 0.978 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.979 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in (x y z) around 0 0.979 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z 0.979 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.979 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.979 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.979 * [taylor]: Taking taylor expansion of x in z 0.979 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.979 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.979 * [taylor]: Taking taylor expansion of y in z 0.979 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.979 * [taylor]: Taking taylor expansion of z in z 0.981 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.981 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.981 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 0.981 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.981 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.981 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.982 * [taylor]: Taking taylor expansion of x in y 0.982 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.982 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.982 * [taylor]: Taking taylor expansion of y in y 0.982 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.982 * [taylor]: Taking taylor expansion of z in y 0.983 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.983 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.984 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x 0.984 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.984 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.984 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.984 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.984 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.984 * [taylor]: Taking taylor expansion of y in x 0.984 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.984 * [taylor]: Taking taylor expansion of z in x 0.986 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.986 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.986 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x 0.986 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.986 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.986 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.986 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.986 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.987 * [taylor]: Taking taylor expansion of y in x 0.987 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.987 * [taylor]: Taking taylor expansion of z in x 0.988 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.988 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.989 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y 0.989 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.989 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.989 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.989 * [taylor]: Taking taylor expansion of y in y 0.989 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.989 * [taylor]: Taking taylor expansion of z in y 0.990 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.990 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.991 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z 0.991 * [taylor]: Taking taylor expansion of z in z 0.991 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.991 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.993 * [taylor]: Taking taylor expansion of 0 in y 0.993 * [taylor]: Taking taylor expansion of 0 in z 0.993 * [taylor]: Taking taylor expansion of 0 in z 0.999 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y 0.999 * [taylor]: Taking taylor expansion of 1/2 in y 0.999 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 0.999 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.999 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.999 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.999 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.999 * [taylor]: Taking taylor expansion of y in y 0.999 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.999 * [taylor]: Taking taylor expansion of z in y 1.000 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.000 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.001 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 1.001 * [taylor]: Taking taylor expansion of 1/2 in z 1.001 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 1.001 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.001 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.002 * [taylor]: Taking taylor expansion of z in z 1.004 * [taylor]: Taking taylor expansion of 0 in z 1.006 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 1.006 * [taylor]: Taking taylor expansion of 1/2 in z 1.006 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 1.006 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.006 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.007 * [taylor]: Taking taylor expansion of z in z 1.012 * [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 1.012 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 1.012 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.012 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 1.012 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.012 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.012 * [taylor]: Taking taylor expansion of x in z 1.012 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 1.012 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.012 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.012 * [taylor]: Taking taylor expansion of z in z 1.012 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.013 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.013 * [taylor]: Taking taylor expansion of y in z 1.015 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.015 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.016 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 1.016 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.016 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.016 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.016 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.016 * [taylor]: Taking taylor expansion of x in y 1.016 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.016 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.016 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.016 * [taylor]: Taking taylor expansion of z in y 1.016 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.016 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.016 * [taylor]: Taking taylor expansion of y in y 1.023 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.023 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.023 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 1.024 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.024 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.024 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.024 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.024 * [taylor]: Taking taylor expansion of x in x 1.024 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.024 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.024 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.024 * [taylor]: Taking taylor expansion of z in x 1.024 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.024 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.024 * [taylor]: Taking taylor expansion of y in x 1.026 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.027 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.027 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 1.027 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.027 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.027 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.027 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.028 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.028 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.028 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.028 * [taylor]: Taking taylor expansion of z in x 1.028 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.028 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.028 * [taylor]: Taking taylor expansion of y in x 1.030 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.030 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.031 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.032 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.033 * [taylor]: Taking taylor expansion of 0 in y 1.033 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.033 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.038 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 1.038 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 1.038 * [taylor]: Taking taylor expansion of 1/2 in y 1.038 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 1.038 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.038 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.039 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.039 * [taylor]: Taking taylor expansion of z in y 1.039 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 1.039 * [taylor]: Taking taylor expansion of 1/2 in y 1.039 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 1.039 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.039 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.040 * [taylor]: Taking taylor expansion of y in y 1.042 * [taylor]: Taking taylor expansion of 0 in z 1.042 * [taylor]: Taking taylor expansion of 0 in z 1.042 * [taylor]: Taking taylor expansion of 0 in z 1.047 * [taylor]: Taking taylor expansion of 0 in y 1.050 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 1.050 * [taylor]: Taking taylor expansion of 1/2 in z 1.050 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 1.050 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.050 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.051 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.051 * [taylor]: Taking taylor expansion of z in z 1.053 * [taylor]: Taking taylor expansion of 0 in z 1.054 * [taylor]: Taking taylor expansion of 0 in z 1.061 * [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 1.061 * [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 1.061 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 1.061 * [taylor]: Taking taylor expansion of 1/8 in y 1.061 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 1.061 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.061 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.061 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.062 * [taylor]: Taking taylor expansion of z in y 1.062 * [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 1.062 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 1.062 * [taylor]: Taking taylor expansion of 1/4 in y 1.062 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 1.062 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.062 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.063 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.063 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.063 * [taylor]: Taking taylor expansion of z in y 1.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.063 * [taylor]: Taking taylor expansion of y in y 1.064 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 1.064 * [taylor]: Taking taylor expansion of 1/8 in y 1.064 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 1.064 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.064 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.064 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.064 * [taylor]: Taking taylor expansion of y in y 1.075 * [taylor]: Taking taylor expansion of 0 in z 1.075 * [taylor]: Taking taylor expansion of 0 in z 1.079 * [taylor]: Taking taylor expansion of 0 in z 1.079 * [taylor]: Taking taylor expansion of 0 in z 1.080 * [taylor]: Taking taylor expansion of 0 in z 1.084 * [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 1.084 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 1.084 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 1.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.084 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.084 * [taylor]: Taking taylor expansion of x in z 1.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 1.084 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.084 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.084 * [taylor]: Taking taylor expansion of z in z 1.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.085 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.085 * [taylor]: Taking taylor expansion of y in z 1.087 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.087 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.088 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 1.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.088 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.088 * [taylor]: Taking taylor expansion of x in y 1.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.088 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.088 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.088 * [taylor]: Taking taylor expansion of z in y 1.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.088 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.088 * [taylor]: Taking taylor expansion of y in y 1.091 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.091 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.092 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 1.092 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.092 * [taylor]: Taking taylor expansion of x in x 1.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.093 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.093 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.093 * [taylor]: Taking taylor expansion of z in x 1.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.093 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.093 * [taylor]: Taking taylor expansion of y in x 1.095 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.095 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.096 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 1.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.096 * [taylor]: Taking taylor expansion of x in x 1.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.097 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.097 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.097 * [taylor]: Taking taylor expansion of z in x 1.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.097 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.097 * [taylor]: Taking taylor expansion of y in x 1.099 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.099 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.101 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.101 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.102 * [taylor]: Taking taylor expansion of 0 in y 1.102 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.102 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.107 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 1.107 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 1.107 * [taylor]: Taking taylor expansion of 1/2 in y 1.107 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 1.107 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.107 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.108 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.108 * [taylor]: Taking taylor expansion of z in y 1.109 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 1.109 * [taylor]: Taking taylor expansion of 1/2 in y 1.109 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 1.109 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.109 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.113 * [taylor]: Taking taylor expansion of y in y 1.116 * [taylor]: Taking taylor expansion of 0 in z 1.116 * [taylor]: Taking taylor expansion of 0 in z 1.116 * [taylor]: Taking taylor expansion of 0 in z 1.121 * [taylor]: Taking taylor expansion of 0 in y 1.125 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 1.125 * [taylor]: Taking taylor expansion of 1/2 in z 1.125 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 1.125 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.125 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.126 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.126 * [taylor]: Taking taylor expansion of z in z 1.128 * [taylor]: Taking taylor expansion of 0 in z 1.129 * [taylor]: Taking taylor expansion of 0 in z 1.137 * [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 1.137 * [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 1.137 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 1.137 * [taylor]: Taking taylor expansion of 1/8 in y 1.137 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 1.137 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.137 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.138 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.138 * [taylor]: Taking taylor expansion of z in y 1.139 * [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 1.139 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 1.139 * [taylor]: Taking taylor expansion of 1/4 in y 1.139 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 1.139 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.139 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.139 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.139 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.139 * [taylor]: Taking taylor expansion of z in y 1.139 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.140 * [taylor]: Taking taylor expansion of y in y 1.140 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 1.140 * [taylor]: Taking taylor expansion of 1/8 in y 1.140 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 1.140 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.140 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.141 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.141 * [taylor]: Taking taylor expansion of y in y 1.152 * [taylor]: Taking taylor expansion of 0 in z 1.152 * [taylor]: Taking taylor expansion of 0 in z 1.157 * [taylor]: Taking taylor expansion of 0 in z 1.157 * [taylor]: Taking taylor expansion of 0 in z 1.158 * [taylor]: Taking taylor expansion of 0 in z 1.161 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 1) 1.161 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 1.161 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.161 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.161 * [taylor]: Taking taylor expansion of x in y 1.161 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.161 * [taylor]: Taking taylor expansion of y in y 1.161 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.161 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.161 * [taylor]: Taking taylor expansion of x in x 1.161 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.161 * [taylor]: Taking taylor expansion of y in x 1.161 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.161 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.161 * [taylor]: Taking taylor expansion of x in x 1.161 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.161 * [taylor]: Taking taylor expansion of y in x 1.162 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.162 * [taylor]: Taking taylor expansion of y in y 1.162 * [taylor]: Taking taylor expansion of 0 in y 1.163 * [taylor]: Taking taylor expansion of 1 in y 1.165 * [taylor]: Taking taylor expansion of 0 in y 1.167 * [taylor]: Taking taylor expansion of 0 in y 1.167 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.167 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.167 * [taylor]: Taking taylor expansion of x in y 1.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.168 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.168 * [taylor]: Taking taylor expansion of y in y 1.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.168 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.168 * [taylor]: Taking taylor expansion of x in x 1.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.169 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.169 * [taylor]: Taking taylor expansion of y in x 1.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.169 * [taylor]: Taking taylor expansion of x in x 1.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.170 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.170 * [taylor]: Taking taylor expansion of y in x 1.170 * [taylor]: Taking taylor expansion of 1 in y 1.171 * [taylor]: Taking taylor expansion of 0 in y 1.172 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.172 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.172 * [taylor]: Taking taylor expansion of y in y 1.175 * [taylor]: Taking taylor expansion of 0 in y 1.178 * [taylor]: Taking taylor expansion of 0 in y 1.179 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.179 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.179 * [taylor]: Taking taylor expansion of x in y 1.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.180 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.180 * [taylor]: Taking taylor expansion of y in y 1.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.180 * [taylor]: Taking taylor expansion of x in x 1.181 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.181 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.181 * [taylor]: Taking taylor expansion of y in x 1.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.181 * [taylor]: Taking taylor expansion of x in x 1.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.182 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.182 * [taylor]: Taking taylor expansion of y in x 1.182 * [taylor]: Taking taylor expansion of 1 in y 1.183 * [taylor]: Taking taylor expansion of 0 in y 1.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.185 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.185 * [taylor]: Taking taylor expansion of y in y 1.187 * [taylor]: Taking taylor expansion of 0 in y 1.191 * [taylor]: Taking taylor expansion of 0 in y 1.192 * * * [progress]: simplifying candidates 1.194 * [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))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) z x (* -1 x) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 1.202 * * [simplify]: iteration 0 : 333 enodes (cost 887 ) 1.212 * * [simplify]: iteration 1 : 1288 enodes (cost 848 ) 1.246 * * [simplify]: iteration 2 : 5001 enodes (cost 821 ) 1.251 * [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)) 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)))) 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 (/ 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)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fabs (/ (cbrt 1) (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))) (fabs (cbrt 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 (+ (+ (* 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 (+ (+ (* 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))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (fma x x (* y y)) 3) (hypot x y) (hypot x y) (fma (* (pow y 4) y) y (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* x x) (* y y)) z x (* -1 x) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 1.251 * * * [progress]: adding candidates to table 1.500 * * [progress]: iteration 3 / 4 1.501 * * * [progress]: picking best candidate 1.513 * * * * [pick]: Picked # 1.513 * * * [progress]: localizing error 1.526 * * * [progress]: generating rewritten candidates 1.526 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.530 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.541 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.544 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.547 * * * [progress]: generating series expansions 1.547 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.547 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.547 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.547 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.547 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.547 * [taylor]: Taking taylor expansion of x in y 1.547 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.547 * [taylor]: Taking taylor expansion of y in y 1.548 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.549 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.549 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.549 * [taylor]: Taking taylor expansion of x in x 1.549 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.549 * [taylor]: Taking taylor expansion of y in x 1.549 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.550 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.550 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.550 * [taylor]: Taking taylor expansion of x in x 1.550 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.550 * [taylor]: Taking taylor expansion of y in x 1.550 * [taylor]: Taking taylor expansion of y in y 1.551 * [taylor]: Taking taylor expansion of 0 in y 1.552 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.552 * [taylor]: Taking taylor expansion of 1/2 in y 1.552 * [taylor]: Taking taylor expansion of y in y 1.555 * [taylor]: Taking taylor expansion of 0 in y 1.556 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.556 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.556 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.556 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.556 * [taylor]: Taking taylor expansion of x in y 1.556 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.556 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.556 * [taylor]: Taking taylor expansion of y in y 1.559 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.560 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.560 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.560 * [taylor]: Taking taylor expansion of x in x 1.560 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.560 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.560 * [taylor]: Taking taylor expansion of y in x 1.563 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.563 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.563 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.563 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.563 * [taylor]: Taking taylor expansion of x in x 1.563 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.563 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.563 * [taylor]: Taking taylor expansion of y in x 1.566 * [taylor]: Taking taylor expansion of 1 in y 1.566 * [taylor]: Taking taylor expansion of 0 in y 1.568 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.568 * [taylor]: Taking taylor expansion of 1/2 in y 1.568 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.568 * [taylor]: Taking taylor expansion of y in y 1.572 * [taylor]: Taking taylor expansion of 0 in y 1.573 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.573 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.573 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.573 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.573 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.573 * [taylor]: Taking taylor expansion of x in y 1.574 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.574 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.574 * [taylor]: Taking taylor expansion of y in y 1.576 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.576 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.576 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.576 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.576 * [taylor]: Taking taylor expansion of x in x 1.577 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.577 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.577 * [taylor]: Taking taylor expansion of y in x 1.579 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.579 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.580 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.580 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.580 * [taylor]: Taking taylor expansion of x in x 1.580 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.580 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.580 * [taylor]: Taking taylor expansion of y in x 1.583 * [taylor]: Taking taylor expansion of 1 in y 1.583 * [taylor]: Taking taylor expansion of 0 in y 1.585 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.585 * [taylor]: Taking taylor expansion of 1/2 in y 1.585 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.585 * [taylor]: Taking taylor expansion of y in y 1.589 * [taylor]: Taking taylor expansion of 0 in y 1.590 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.591 * [approximate]: Taking taylor expansion of (* (hypot (sqrt (+ (pow x 2) (pow y 2))) z) (sqrt 0.3333333333333333)) in (x y z) around 0 1.591 * [taylor]: Taking taylor expansion of (* (hypot (sqrt (+ (pow x 2) (pow y 2))) z) (sqrt 0.3333333333333333)) in z 1.591 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in z 1.591 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 1.591 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in z 1.591 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in z 1.591 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 1.591 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 1.591 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.591 * [taylor]: Taking taylor expansion of x in z 1.591 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.592 * [taylor]: Taking taylor expansion of y in z 1.593 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 1.593 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 1.593 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.593 * [taylor]: Taking taylor expansion of x in z 1.593 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.593 * [taylor]: Taking taylor expansion of y in z 1.594 * [taylor]: Taking taylor expansion of (* z z) in z 1.594 * [taylor]: Taking taylor expansion of z in z 1.594 * [taylor]: Taking taylor expansion of z in z 1.596 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.596 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.597 * [taylor]: Taking taylor expansion of (* (hypot (sqrt (+ (pow x 2) (pow y 2))) z) (sqrt 0.3333333333333333)) in y 1.597 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in y 1.597 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 1.597 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in y 1.597 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in y 1.597 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.597 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.597 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.597 * [taylor]: Taking taylor expansion of x in y 1.597 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.597 * [taylor]: Taking taylor expansion of y in y 1.598 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.598 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.598 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.598 * [taylor]: Taking taylor expansion of x in y 1.598 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.598 * [taylor]: Taking taylor expansion of y in y 1.598 * [taylor]: Taking taylor expansion of (* z z) in y 1.598 * [taylor]: Taking taylor expansion of z in y 1.598 * [taylor]: Taking taylor expansion of z in y 1.599 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.599 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.600 * [taylor]: Taking taylor expansion of (* (hypot (sqrt (+ (pow x 2) (pow y 2))) z) (sqrt 0.3333333333333333)) in x 1.600 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 1.600 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 1.600 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 1.600 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 1.600 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.600 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.600 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.600 * [taylor]: Taking taylor expansion of x in x 1.600 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.600 * [taylor]: Taking taylor expansion of y in x 1.601 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.601 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.601 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.601 * [taylor]: Taking taylor expansion of x in x 1.601 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.601 * [taylor]: Taking taylor expansion of y in x 1.602 * [taylor]: Taking taylor expansion of (* z z) in x 1.602 * [taylor]: Taking taylor expansion of z in x 1.602 * [taylor]: Taking taylor expansion of z in x 1.603 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.603 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.603 * [taylor]: Taking taylor expansion of (* (hypot (sqrt (+ (pow x 2) (pow y 2))) z) (sqrt 0.3333333333333333)) in x 1.604 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 1.604 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 1.604 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 1.604 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 1.604 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.604 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.604 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.604 * [taylor]: Taking taylor expansion of x in x 1.604 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.604 * [taylor]: Taking taylor expansion of y in x 1.605 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.605 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.605 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.605 * [taylor]: Taking taylor expansion of x in x 1.605 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.605 * [taylor]: Taking taylor expansion of y in x 1.605 * [taylor]: Taking taylor expansion of (* z z) in x 1.605 * [taylor]: Taking taylor expansion of z in x 1.605 * [taylor]: Taking taylor expansion of z in x 1.606 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.606 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.608 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y 1.608 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 1.608 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.608 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.608 * [taylor]: Taking taylor expansion of y in y 1.608 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.608 * [taylor]: Taking taylor expansion of z in y 1.609 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.609 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.610 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z 1.610 * [taylor]: Taking taylor expansion of z in z 1.610 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.610 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.616 * [taylor]: Taking taylor expansion of 0 in y 1.616 * [taylor]: Taking taylor expansion of 0 in z 1.616 * [taylor]: Taking taylor expansion of 0 in z 1.624 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y 1.624 * [taylor]: Taking taylor expansion of 1/2 in y 1.624 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 1.624 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 1.624 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 1.624 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.624 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.624 * [taylor]: Taking taylor expansion of y in y 1.624 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.624 * [taylor]: Taking taylor expansion of z in y 1.625 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.625 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.627 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 1.627 * [taylor]: Taking taylor expansion of 1/2 in z 1.627 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 1.627 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.627 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.628 * [taylor]: Taking taylor expansion of z in z 1.630 * [taylor]: Taking taylor expansion of 0 in z 1.632 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 1.632 * [taylor]: Taking taylor expansion of 1/2 in z 1.632 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 1.632 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.633 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.633 * [taylor]: Taking taylor expansion of z in z 1.638 * [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 1.638 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z))) in z 1.638 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.638 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.639 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in z 1.639 * [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)))) 1.639 * [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 1.639 * [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 1.639 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 1.639 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 1.639 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.639 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.639 * [taylor]: Taking taylor expansion of x in z 1.639 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.639 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.639 * [taylor]: Taking taylor expansion of y in z 1.641 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 1.641 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 1.641 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.641 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.641 * [taylor]: Taking taylor expansion of x in z 1.641 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.641 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.641 * [taylor]: Taking taylor expansion of y in z 1.642 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 1.642 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.642 * [taylor]: Taking taylor expansion of z in z 1.643 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.643 * [taylor]: Taking taylor expansion of z in z 1.646 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z))) in y 1.646 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.646 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.647 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in y 1.647 * [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)))) 1.647 * [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 1.647 * [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 1.647 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.647 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.647 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.647 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.647 * [taylor]: Taking taylor expansion of x in y 1.647 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.647 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.647 * [taylor]: Taking taylor expansion of y in y 1.650 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.650 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.650 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.650 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.650 * [taylor]: Taking taylor expansion of x in y 1.650 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.650 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.650 * [taylor]: Taking taylor expansion of y in y 1.652 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 1.652 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.652 * [taylor]: Taking taylor expansion of z in y 1.653 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.653 * [taylor]: Taking taylor expansion of z in y 1.654 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z))) in x 1.654 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.654 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.655 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 1.655 * [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)))) 1.655 * [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 1.655 * [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 1.655 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.655 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.655 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.655 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.655 * [taylor]: Taking taylor expansion of x in x 1.656 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.656 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.656 * [taylor]: Taking taylor expansion of y in x 1.658 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.658 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.658 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.658 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.658 * [taylor]: Taking taylor expansion of x in x 1.659 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.659 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.659 * [taylor]: Taking taylor expansion of y in x 1.661 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.661 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.661 * [taylor]: Taking taylor expansion of z in x 1.662 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.662 * [taylor]: Taking taylor expansion of z in x 1.663 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z))) in x 1.663 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.663 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.664 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 1.664 * [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)))) 1.664 * [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 1.664 * [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 1.664 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.665 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.665 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.665 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.665 * [taylor]: Taking taylor expansion of x in x 1.665 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.665 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.665 * [taylor]: Taking taylor expansion of y in x 1.667 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.667 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.667 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.667 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.668 * [taylor]: Taking taylor expansion of x in x 1.668 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.668 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.668 * [taylor]: Taking taylor expansion of y in x 1.670 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.670 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.670 * [taylor]: Taking taylor expansion of z in x 1.671 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.671 * [taylor]: Taking taylor expansion of z in x 1.673 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.673 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.674 * [taylor]: Taking taylor expansion of 0 in y 1.675 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.675 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.683 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 1.683 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 1.683 * [taylor]: Taking taylor expansion of 1/2 in y 1.683 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 1.683 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.683 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.684 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.684 * [taylor]: Taking taylor expansion of z in y 1.685 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 1.685 * [taylor]: Taking taylor expansion of 1/2 in y 1.685 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 1.685 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.685 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.685 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.685 * [taylor]: Taking taylor expansion of y in y 1.688 * [taylor]: Taking taylor expansion of 0 in z 1.688 * [taylor]: Taking taylor expansion of 0 in z 1.688 * [taylor]: Taking taylor expansion of 0 in z 1.696 * [taylor]: Taking taylor expansion of 0 in y 1.700 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 1.700 * [taylor]: Taking taylor expansion of 1/2 in z 1.700 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 1.700 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.700 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.701 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.701 * [taylor]: Taking taylor expansion of z in z 1.703 * [taylor]: Taking taylor expansion of 0 in z 1.704 * [taylor]: Taking taylor expansion of 0 in z 1.720 * [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 1.720 * [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 1.720 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 1.721 * [taylor]: Taking taylor expansion of 1/8 in y 1.721 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 1.721 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.721 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.722 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.722 * [taylor]: Taking taylor expansion of z in y 1.722 * [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 1.722 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 1.722 * [taylor]: Taking taylor expansion of 1/4 in y 1.722 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 1.722 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.722 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.723 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.723 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.723 * [taylor]: Taking taylor expansion of z in y 1.723 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.723 * [taylor]: Taking taylor expansion of y in y 1.724 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 1.724 * [taylor]: Taking taylor expansion of 1/8 in y 1.724 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 1.724 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.724 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.725 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.725 * [taylor]: Taking taylor expansion of y in y 1.736 * [taylor]: Taking taylor expansion of 0 in z 1.736 * [taylor]: Taking taylor expansion of 0 in z 1.740 * [taylor]: Taking taylor expansion of 0 in z 1.740 * [taylor]: Taking taylor expansion of 0 in z 1.741 * [taylor]: Taking taylor expansion of 0 in z 1.744 * [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 1.745 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z))) in z 1.745 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.745 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.745 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in z 1.746 * [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)))) 1.746 * [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 1.746 * [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 1.746 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 1.746 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 1.746 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.746 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.746 * [taylor]: Taking taylor expansion of x in z 1.746 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.746 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.746 * [taylor]: Taking taylor expansion of y in z 1.747 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 1.747 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 1.747 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.747 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.747 * [taylor]: Taking taylor expansion of x in z 1.747 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.747 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.747 * [taylor]: Taking taylor expansion of y in z 1.749 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 1.749 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.749 * [taylor]: Taking taylor expansion of -1 in z 1.749 * [taylor]: Taking taylor expansion of z in z 1.749 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.749 * [taylor]: Taking taylor expansion of -1 in z 1.749 * [taylor]: Taking taylor expansion of z in z 1.752 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z))) in y 1.752 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.752 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.753 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in y 1.753 * [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)))) 1.753 * [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 1.753 * [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 1.753 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.754 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.754 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.754 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.754 * [taylor]: Taking taylor expansion of x in y 1.754 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.754 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.754 * [taylor]: Taking taylor expansion of y in y 1.756 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.756 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.756 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.757 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.757 * [taylor]: Taking taylor expansion of x in y 1.757 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.757 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.757 * [taylor]: Taking taylor expansion of y in y 1.760 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 1.760 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.760 * [taylor]: Taking taylor expansion of -1 in y 1.760 * [taylor]: Taking taylor expansion of z in y 1.760 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.760 * [taylor]: Taking taylor expansion of -1 in y 1.760 * [taylor]: Taking taylor expansion of z in y 1.762 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z))) in x 1.762 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.762 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.763 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 1.763 * [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)))) 1.763 * [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 1.763 * [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 1.763 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.763 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.763 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.763 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.763 * [taylor]: Taking taylor expansion of x in x 1.764 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.764 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.764 * [taylor]: Taking taylor expansion of y in x 1.766 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.766 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.766 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.766 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.766 * [taylor]: Taking taylor expansion of x in x 1.766 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.766 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.767 * [taylor]: Taking taylor expansion of y in x 1.769 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 1.769 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.769 * [taylor]: Taking taylor expansion of -1 in x 1.769 * [taylor]: Taking taylor expansion of z in x 1.769 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.769 * [taylor]: Taking taylor expansion of -1 in x 1.769 * [taylor]: Taking taylor expansion of z in x 1.771 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z))) in x 1.771 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.771 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.772 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 1.772 * [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)))) 1.772 * [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 1.772 * [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 1.772 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.772 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.772 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.772 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.772 * [taylor]: Taking taylor expansion of x in x 1.772 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.773 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.773 * [taylor]: Taking taylor expansion of y in x 1.775 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.775 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.775 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.775 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.775 * [taylor]: Taking taylor expansion of x in x 1.775 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.775 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.775 * [taylor]: Taking taylor expansion of y in x 1.778 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 1.778 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.778 * [taylor]: Taking taylor expansion of -1 in x 1.778 * [taylor]: Taking taylor expansion of z in x 1.778 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.778 * [taylor]: Taking taylor expansion of -1 in x 1.778 * [taylor]: Taking taylor expansion of z in x 1.780 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.780 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.782 * [taylor]: Taking taylor expansion of 0 in y 1.782 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.782 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.790 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 1.790 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 1.790 * [taylor]: Taking taylor expansion of 1/2 in y 1.790 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 1.790 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.790 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.791 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.791 * [taylor]: Taking taylor expansion of z in y 1.792 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 1.792 * [taylor]: Taking taylor expansion of 1/2 in y 1.792 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 1.792 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.792 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.793 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.793 * [taylor]: Taking taylor expansion of y in y 1.795 * [taylor]: Taking taylor expansion of 0 in z 1.795 * [taylor]: Taking taylor expansion of 0 in z 1.795 * [taylor]: Taking taylor expansion of 0 in z 1.803 * [taylor]: Taking taylor expansion of 0 in y 1.807 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 1.807 * [taylor]: Taking taylor expansion of 1/2 in z 1.807 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 1.807 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.807 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.808 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.808 * [taylor]: Taking taylor expansion of z in z 1.815 * [taylor]: Taking taylor expansion of 0 in z 1.816 * [taylor]: Taking taylor expansion of 0 in z 1.827 * [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 1.827 * [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 1.827 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 1.828 * [taylor]: Taking taylor expansion of 1/8 in y 1.828 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 1.828 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.828 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.828 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.828 * [taylor]: Taking taylor expansion of z in y 1.829 * [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 1.829 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 1.829 * [taylor]: Taking taylor expansion of 1/4 in y 1.829 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 1.829 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.829 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.830 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.830 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.830 * [taylor]: Taking taylor expansion of z in y 1.830 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.830 * [taylor]: Taking taylor expansion of y in y 1.831 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 1.831 * [taylor]: Taking taylor expansion of 1/8 in y 1.831 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 1.831 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.831 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.831 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.831 * [taylor]: Taking taylor expansion of y in y 1.841 * [taylor]: Taking taylor expansion of 0 in z 1.842 * [taylor]: Taking taylor expansion of 0 in z 1.846 * [taylor]: Taking taylor expansion of 0 in z 1.846 * [taylor]: Taking taylor expansion of 0 in z 1.846 * [taylor]: Taking taylor expansion of 0 in z 1.849 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.849 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 1.849 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.850 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.850 * [taylor]: Taking taylor expansion of x in y 1.850 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.850 * [taylor]: Taking taylor expansion of y in y 1.850 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.850 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.850 * [taylor]: Taking taylor expansion of x in x 1.850 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.850 * [taylor]: Taking taylor expansion of y in x 1.850 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.850 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.850 * [taylor]: Taking taylor expansion of x in x 1.850 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.850 * [taylor]: Taking taylor expansion of y in x 1.850 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.850 * [taylor]: Taking taylor expansion of y in y 1.850 * [taylor]: Taking taylor expansion of 0 in y 1.851 * [taylor]: Taking taylor expansion of 1 in y 1.853 * [taylor]: Taking taylor expansion of 0 in y 1.855 * [taylor]: Taking taylor expansion of 0 in y 1.855 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.855 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.855 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.855 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.855 * [taylor]: Taking taylor expansion of x in y 1.855 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.855 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.855 * [taylor]: Taking taylor expansion of y in y 1.856 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.856 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.856 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.856 * [taylor]: Taking taylor expansion of x in x 1.856 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.856 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.857 * [taylor]: Taking taylor expansion of y in x 1.857 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.857 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.857 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.857 * [taylor]: Taking taylor expansion of x in x 1.857 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.857 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.857 * [taylor]: Taking taylor expansion of y in x 1.858 * [taylor]: Taking taylor expansion of 1 in y 1.859 * [taylor]: Taking taylor expansion of 0 in y 1.860 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.860 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.860 * [taylor]: Taking taylor expansion of y in y 1.862 * [taylor]: Taking taylor expansion of 0 in y 1.865 * [taylor]: Taking taylor expansion of 0 in y 1.867 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.867 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.867 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.867 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.867 * [taylor]: Taking taylor expansion of x in y 1.867 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.867 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.867 * [taylor]: Taking taylor expansion of y in y 1.867 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.868 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.868 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.868 * [taylor]: Taking taylor expansion of x in x 1.868 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.868 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.868 * [taylor]: Taking taylor expansion of y in x 1.868 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.868 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.868 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.868 * [taylor]: Taking taylor expansion of x in x 1.869 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.869 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.869 * [taylor]: Taking taylor expansion of y in x 1.869 * [taylor]: Taking taylor expansion of 1 in y 1.870 * [taylor]: Taking taylor expansion of 0 in y 1.871 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.872 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.872 * [taylor]: Taking taylor expansion of y in y 1.874 * [taylor]: Taking taylor expansion of 0 in y 1.876 * [taylor]: Taking taylor expansion of 0 in y 1.878 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.878 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in (x y z) around 0 1.878 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in z 1.878 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 1.878 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in z 1.878 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in z 1.878 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 1.878 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 1.878 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.878 * [taylor]: Taking taylor expansion of x in z 1.878 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.878 * [taylor]: Taking taylor expansion of y in z 1.879 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 1.879 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 1.879 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.879 * [taylor]: Taking taylor expansion of x in z 1.879 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.879 * [taylor]: Taking taylor expansion of y in z 1.880 * [taylor]: Taking taylor expansion of (* z z) in z 1.880 * [taylor]: Taking taylor expansion of z in z 1.880 * [taylor]: Taking taylor expansion of z in z 1.882 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in y 1.882 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 1.882 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in y 1.882 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in y 1.882 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.882 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.882 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.882 * [taylor]: Taking taylor expansion of x in y 1.882 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.882 * [taylor]: Taking taylor expansion of y in y 1.883 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.883 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.883 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.883 * [taylor]: Taking taylor expansion of x in y 1.883 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.883 * [taylor]: Taking taylor expansion of y in y 1.883 * [taylor]: Taking taylor expansion of (* z z) in y 1.883 * [taylor]: Taking taylor expansion of z in y 1.883 * [taylor]: Taking taylor expansion of z in y 1.884 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 1.884 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 1.884 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 1.885 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 1.885 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.885 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.885 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.885 * [taylor]: Taking taylor expansion of x in x 1.885 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.885 * [taylor]: Taking taylor expansion of y in x 1.885 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.885 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.885 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.885 * [taylor]: Taking taylor expansion of x in x 1.885 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.885 * [taylor]: Taking taylor expansion of y in x 1.886 * [taylor]: Taking taylor expansion of (* z z) in x 1.886 * [taylor]: Taking taylor expansion of z in x 1.886 * [taylor]: Taking taylor expansion of z in x 1.887 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 1.887 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 1.887 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 1.887 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 1.887 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.887 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.887 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.887 * [taylor]: Taking taylor expansion of x in x 1.887 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.887 * [taylor]: Taking taylor expansion of y in x 1.888 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.888 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.888 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.888 * [taylor]: Taking taylor expansion of x in x 1.888 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.888 * [taylor]: Taking taylor expansion of y in x 1.888 * [taylor]: Taking taylor expansion of (* z z) in x 1.888 * [taylor]: Taking taylor expansion of z in x 1.888 * [taylor]: Taking taylor expansion of z in x 1.889 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 1.889 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.889 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.889 * [taylor]: Taking taylor expansion of y in y 1.889 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.889 * [taylor]: Taking taylor expansion of z in y 1.890 * [taylor]: Taking taylor expansion of z in z 1.890 * [taylor]: Taking taylor expansion of 0 in y 1.890 * [taylor]: Taking taylor expansion of 0 in z 1.890 * [taylor]: Taking taylor expansion of 0 in z 1.894 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 1.894 * [taylor]: Taking taylor expansion of 1/2 in y 1.894 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 1.894 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 1.894 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.894 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.894 * [taylor]: Taking taylor expansion of y in y 1.894 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.894 * [taylor]: Taking taylor expansion of z in y 1.895 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.895 * [taylor]: Taking taylor expansion of 1/2 in z 1.895 * [taylor]: Taking taylor expansion of z in z 1.896 * [taylor]: Taking taylor expansion of 0 in z 1.898 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.898 * [taylor]: Taking taylor expansion of 1/2 in z 1.898 * [taylor]: Taking taylor expansion of z in z 1.899 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in (x y z) around 0 1.899 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in z 1.900 * [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)))) 1.900 * [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 1.900 * [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 1.900 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 1.900 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 1.900 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.900 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.900 * [taylor]: Taking taylor expansion of x in z 1.900 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.900 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.900 * [taylor]: Taking taylor expansion of y in z 1.901 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 1.901 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 1.901 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.902 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.902 * [taylor]: Taking taylor expansion of x in z 1.902 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.902 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.902 * [taylor]: Taking taylor expansion of y in z 1.903 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 1.903 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.903 * [taylor]: Taking taylor expansion of z in z 1.903 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.903 * [taylor]: Taking taylor expansion of z in z 1.907 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in y 1.907 * [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)))) 1.907 * [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 1.907 * [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 1.907 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.907 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.907 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.907 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.907 * [taylor]: Taking taylor expansion of x in y 1.907 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.907 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.907 * [taylor]: Taking taylor expansion of y in y 1.916 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.916 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.916 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.916 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.916 * [taylor]: Taking taylor expansion of x in y 1.917 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.917 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.917 * [taylor]: Taking taylor expansion of y in y 1.920 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 1.920 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.920 * [taylor]: Taking taylor expansion of z in y 1.920 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.920 * [taylor]: Taking taylor expansion of z in y 1.922 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 1.922 * [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)))) 1.922 * [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 1.922 * [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 1.922 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.922 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.922 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.922 * [taylor]: Taking taylor expansion of x in x 1.923 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.923 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.923 * [taylor]: Taking taylor expansion of y in x 1.925 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.925 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.925 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.925 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.925 * [taylor]: Taking taylor expansion of x in x 1.926 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.926 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.926 * [taylor]: Taking taylor expansion of y in x 1.928 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.928 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.928 * [taylor]: Taking taylor expansion of z in x 1.928 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.928 * [taylor]: Taking taylor expansion of z in x 1.930 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 1.930 * [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)))) 1.930 * [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 1.930 * [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 1.930 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.930 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.930 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.930 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.930 * [taylor]: Taking taylor expansion of x in x 1.931 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.931 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.931 * [taylor]: Taking taylor expansion of y in x 1.933 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.933 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.933 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.933 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.933 * [taylor]: Taking taylor expansion of x in x 1.934 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.934 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.934 * [taylor]: Taking taylor expansion of y in x 1.936 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.936 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.936 * [taylor]: Taking taylor expansion of z in x 1.936 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.937 * [taylor]: Taking taylor expansion of z in x 1.939 * [taylor]: Taking taylor expansion of 1 in y 1.939 * [taylor]: Taking taylor expansion of 0 in y 1.939 * [taylor]: Taking taylor expansion of 1 in z 1.945 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.945 * [taylor]: Taking taylor expansion of 1/2 in y 1.945 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.945 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.945 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.945 * [taylor]: Taking taylor expansion of z in y 1.945 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.945 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.945 * [taylor]: Taking taylor expansion of y in y 1.947 * [taylor]: Taking taylor expansion of 0 in z 1.947 * [taylor]: Taking taylor expansion of 0 in z 1.948 * [taylor]: Taking taylor expansion of 0 in z 1.954 * [taylor]: Taking taylor expansion of 0 in y 1.955 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.955 * [taylor]: Taking taylor expansion of 1/2 in z 1.955 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.956 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.956 * [taylor]: Taking taylor expansion of z in z 1.957 * [taylor]: Taking taylor expansion of 0 in z 1.957 * [taylor]: Taking taylor expansion of 0 in z 1.966 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 1.967 * [taylor]: Taking taylor expansion of -1/2 in y 1.967 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 1.967 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.967 * [taylor]: Taking taylor expansion of 1/4 in y 1.967 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.967 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.967 * [taylor]: Taking taylor expansion of z in y 1.967 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.967 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.967 * [taylor]: Taking taylor expansion of 1/2 in y 1.967 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.967 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.967 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.967 * [taylor]: Taking taylor expansion of z in y 1.967 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.967 * [taylor]: Taking taylor expansion of y in y 1.968 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.968 * [taylor]: Taking taylor expansion of 1/4 in y 1.968 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.968 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.968 * [taylor]: Taking taylor expansion of y in y 1.979 * [taylor]: Taking taylor expansion of 0 in z 1.980 * [taylor]: Taking taylor expansion of 0 in z 1.982 * [taylor]: Taking taylor expansion of 0 in z 1.982 * [taylor]: Taking taylor expansion of 0 in z 1.982 * [taylor]: Taking taylor expansion of 0 in z 1.984 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in (x y z) around 0 1.984 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in z 1.985 * [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)))) 1.985 * [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 1.985 * [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 1.985 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 1.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 1.985 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.985 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.985 * [taylor]: Taking taylor expansion of x in z 1.985 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.985 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.985 * [taylor]: Taking taylor expansion of y in z 1.986 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 1.986 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 1.986 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.986 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.986 * [taylor]: Taking taylor expansion of x in z 1.987 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.987 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.987 * [taylor]: Taking taylor expansion of y in z 1.988 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 1.988 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.988 * [taylor]: Taking taylor expansion of -1 in z 1.988 * [taylor]: Taking taylor expansion of z in z 1.988 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.988 * [taylor]: Taking taylor expansion of -1 in z 1.988 * [taylor]: Taking taylor expansion of z in z 1.992 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in y 1.992 * [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)))) 1.992 * [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 1.992 * [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 1.992 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.992 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.992 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.992 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.992 * [taylor]: Taking taylor expansion of x in y 1.992 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.992 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.992 * [taylor]: Taking taylor expansion of y in y 1.995 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.995 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.995 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.995 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.995 * [taylor]: Taking taylor expansion of x in y 1.995 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.996 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.996 * [taylor]: Taking taylor expansion of y in y 1.998 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 1.998 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.998 * [taylor]: Taking taylor expansion of -1 in y 1.998 * [taylor]: Taking taylor expansion of z in y 1.998 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.998 * [taylor]: Taking taylor expansion of -1 in y 1.998 * [taylor]: Taking taylor expansion of z in y 2.001 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 2.001 * [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)))) 2.001 * [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 2.001 * [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 2.001 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.001 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.001 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.001 * [taylor]: Taking taylor expansion of x in x 2.002 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.002 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.002 * [taylor]: Taking taylor expansion of y in x 2.004 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.004 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.004 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.004 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.004 * [taylor]: Taking taylor expansion of x in x 2.005 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.005 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.005 * [taylor]: Taking taylor expansion of y in x 2.007 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 2.007 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.007 * [taylor]: Taking taylor expansion of -1 in x 2.007 * [taylor]: Taking taylor expansion of z in x 2.007 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.007 * [taylor]: Taking taylor expansion of -1 in x 2.007 * [taylor]: Taking taylor expansion of z in x 2.009 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 2.009 * [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)))) 2.009 * [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 2.009 * [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 2.009 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.009 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.009 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.009 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.009 * [taylor]: Taking taylor expansion of x in x 2.010 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.010 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.010 * [taylor]: Taking taylor expansion of y in x 2.012 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.012 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.012 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.012 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.012 * [taylor]: Taking taylor expansion of x in x 2.013 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.013 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.013 * [taylor]: Taking taylor expansion of y in x 2.022 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 2.022 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.022 * [taylor]: Taking taylor expansion of -1 in x 2.022 * [taylor]: Taking taylor expansion of z in x 2.022 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.022 * [taylor]: Taking taylor expansion of -1 in x 2.022 * [taylor]: Taking taylor expansion of z in x 2.024 * [taylor]: Taking taylor expansion of 1 in y 2.024 * [taylor]: Taking taylor expansion of 0 in y 2.025 * [taylor]: Taking taylor expansion of 1 in z 2.031 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 2.031 * [taylor]: Taking taylor expansion of 1/2 in y 2.031 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 2.031 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 2.031 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.031 * [taylor]: Taking taylor expansion of z in y 2.031 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 2.033 * [taylor]: Taking taylor expansion of 0 in z 2.034 * [taylor]: Taking taylor expansion of 0 in z 2.034 * [taylor]: Taking taylor expansion of 0 in z 2.040 * [taylor]: Taking taylor expansion of 0 in y 2.042 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 2.042 * [taylor]: Taking taylor expansion of 1/2 in z 2.042 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 2.042 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.042 * [taylor]: Taking taylor expansion of z in z 2.044 * [taylor]: Taking taylor expansion of 0 in z 2.044 * [taylor]: Taking taylor expansion of 0 in z 2.054 * [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 2.054 * [taylor]: Taking taylor expansion of -1/2 in y 2.054 * [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 2.054 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 2.054 * [taylor]: Taking taylor expansion of 1/4 in y 2.054 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 2.054 * [taylor]: Taking taylor expansion of (pow z 4) in y 2.054 * [taylor]: Taking taylor expansion of z in y 2.054 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 2.054 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 2.054 * [taylor]: Taking taylor expansion of 1/2 in y 2.054 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 2.054 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 2.054 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.054 * [taylor]: Taking taylor expansion of z in y 2.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.054 * [taylor]: Taking taylor expansion of y in y 2.055 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 2.055 * [taylor]: Taking taylor expansion of 1/4 in y 2.055 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.055 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.055 * [taylor]: Taking taylor expansion of y in y 2.067 * [taylor]: Taking taylor expansion of 0 in z 2.067 * [taylor]: Taking taylor expansion of 0 in z 2.069 * [taylor]: Taking taylor expansion of 0 in z 2.069 * [taylor]: Taking taylor expansion of 0 in z 2.069 * [taylor]: Taking taylor expansion of 0 in z 2.071 * * * [progress]: simplifying candidates 2.073 * [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)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (expm1 (hypot (sqrt (+ (* x x) (* y y))) z)) (log1p (hypot (sqrt (+ (* x x) (* y y))) z)) (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* z z)) (log (hypot (sqrt (+ (* x x) (* y y))) z)) (exp (hypot (sqrt (+ (* x x) (* y y))) z)) (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z))) (cbrt (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 (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) y x (* -1 x) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) z x (* -1 x) 2.080 * * [simplify]: iteration 0 : 285 enodes (cost 679 ) 2.088 * * [simplify]: iteration 1 : 1102 enodes (cost 617 ) 2.116 * * [simplify]: iteration 2 : 4026 enodes (cost 596 ) 2.185 * * [simplify]: iteration 3 : 5001 enodes (cost 595 ) 2.189 * [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)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (fabs (/ (cbrt 1) (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) (fabs (cbrt 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) (* (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) (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) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (hypot x y) 6) (hypot x y) (hypot x y) (fma y (pow y 5) (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* x x) (* y y)) (expm1 (hypot (sqrt (+ (* x x) (* y y))) z)) (log1p (hypot (sqrt (+ (* x x) (* y y))) z)) (fma z z (fma x x (* y y))) (log (hypot (sqrt (+ (* x x) (* y y))) z)) (exp (hypot (sqrt (+ (* x x) (* y y))) z)) (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z))) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (pow (hypot (sqrt (+ (* x x) (* y y))) z) 3) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) y x (* -1 x) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) z x (* -1 x) 2.189 * * * [progress]: adding candidates to table 2.474 * * [progress]: iteration 4 / 4 2.474 * * * [progress]: picking best candidate 2.479 * * * * [pick]: Picked # 2.479 * * * [progress]: localizing error 2.487 * * * [progress]: generating rewritten candidates 2.487 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.499 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.501 * * * [progress]: generating series expansions 2.501 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.503 * [approximate]: Taking taylor expansion of (* (hypot (hypot x y) z) (sqrt 0.3333333333333333)) in (x y z) around 0 2.503 * [taylor]: Taking taylor expansion of (* (hypot (hypot x y) z) (sqrt 0.3333333333333333)) in z 2.503 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in z 2.503 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 2.503 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in z 2.503 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z 2.503 * [taylor]: Taking taylor expansion of (hypot x y) in z 2.503 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.503 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 2.503 * [taylor]: Taking taylor expansion of (* x x) in z 2.503 * [taylor]: Taking taylor expansion of x in z 2.503 * [taylor]: Taking taylor expansion of x in z 2.503 * [taylor]: Taking taylor expansion of (* y y) in z 2.503 * [taylor]: Taking taylor expansion of y in z 2.503 * [taylor]: Taking taylor expansion of y in z 2.504 * [taylor]: Taking taylor expansion of (hypot x y) in z 2.504 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.505 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 2.505 * [taylor]: Taking taylor expansion of (* x x) in z 2.505 * [taylor]: Taking taylor expansion of x in z 2.505 * [taylor]: Taking taylor expansion of x in z 2.505 * [taylor]: Taking taylor expansion of (* y y) in z 2.505 * [taylor]: Taking taylor expansion of y in z 2.505 * [taylor]: Taking taylor expansion of y in z 2.506 * [taylor]: Taking taylor expansion of (* z z) in z 2.506 * [taylor]: Taking taylor expansion of z in z 2.506 * [taylor]: Taking taylor expansion of z in z 2.508 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.508 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.509 * [taylor]: Taking taylor expansion of (* (hypot (hypot x y) z) (sqrt 0.3333333333333333)) in y 2.509 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in y 2.510 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 2.510 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in y 2.510 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y 2.510 * [taylor]: Taking taylor expansion of (hypot x y) in y 2.510 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.510 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 2.510 * [taylor]: Taking taylor expansion of (* x x) in y 2.510 * [taylor]: Taking taylor expansion of x in y 2.510 * [taylor]: Taking taylor expansion of x in y 2.510 * [taylor]: Taking taylor expansion of (* y y) in y 2.510 * [taylor]: Taking taylor expansion of y in y 2.510 * [taylor]: Taking taylor expansion of y in y 2.511 * [taylor]: Taking taylor expansion of (hypot x y) in y 2.512 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.512 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 2.512 * [taylor]: Taking taylor expansion of (* x x) in y 2.512 * [taylor]: Taking taylor expansion of x in y 2.512 * [taylor]: Taking taylor expansion of x in y 2.512 * [taylor]: Taking taylor expansion of (* y y) in y 2.512 * [taylor]: Taking taylor expansion of y in y 2.512 * [taylor]: Taking taylor expansion of y in y 2.513 * [taylor]: Taking taylor expansion of (* z z) in y 2.513 * [taylor]: Taking taylor expansion of z in y 2.513 * [taylor]: Taking taylor expansion of z in y 2.514 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.514 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.515 * [taylor]: Taking taylor expansion of (* (hypot (hypot x y) z) (sqrt 0.3333333333333333)) in x 2.515 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 2.515 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 2.515 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 2.515 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 2.515 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.515 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.515 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.516 * [taylor]: Taking taylor expansion of (* x x) in x 2.516 * [taylor]: Taking taylor expansion of x in x 2.516 * [taylor]: Taking taylor expansion of x in x 2.516 * [taylor]: Taking taylor expansion of (* y y) in x 2.516 * [taylor]: Taking taylor expansion of y in x 2.516 * [taylor]: Taking taylor expansion of y in x 2.517 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.517 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.517 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.517 * [taylor]: Taking taylor expansion of (* x x) in x 2.517 * [taylor]: Taking taylor expansion of x in x 2.517 * [taylor]: Taking taylor expansion of x in x 2.517 * [taylor]: Taking taylor expansion of (* y y) in x 2.517 * [taylor]: Taking taylor expansion of y in x 2.517 * [taylor]: Taking taylor expansion of y in x 2.518 * [taylor]: Taking taylor expansion of (* z z) in x 2.518 * [taylor]: Taking taylor expansion of z in x 2.518 * [taylor]: Taking taylor expansion of z in x 2.519 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 2.519 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.520 * [taylor]: Taking taylor expansion of (* (hypot (hypot x y) z) (sqrt 0.3333333333333333)) in x 2.520 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 2.520 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 2.520 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 2.520 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 2.520 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.520 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.520 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.520 * [taylor]: Taking taylor expansion of (* x x) in x 2.520 * [taylor]: Taking taylor expansion of x in x 2.520 * [taylor]: Taking taylor expansion of x in x 2.520 * [taylor]: Taking taylor expansion of (* y y) in x 2.520 * [taylor]: Taking taylor expansion of y in x 2.520 * [taylor]: Taking taylor expansion of y in x 2.521 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.522 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.522 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.522 * [taylor]: Taking taylor expansion of (* x x) in x 2.522 * [taylor]: Taking taylor expansion of x in x 2.522 * [taylor]: Taking taylor expansion of x in x 2.522 * [taylor]: Taking taylor expansion of (* y y) in x 2.522 * [taylor]: Taking taylor expansion of y in x 2.522 * [taylor]: Taking taylor expansion of y in x 2.523 * [taylor]: Taking taylor expansion of (* z z) in x 2.523 * [taylor]: Taking taylor expansion of z in x 2.523 * [taylor]: Taking taylor expansion of z in x 2.524 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 2.524 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.525 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y 2.525 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 2.525 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 2.525 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.525 * [taylor]: Taking taylor expansion of y in y 2.525 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.525 * [taylor]: Taking taylor expansion of z in y 2.526 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.526 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.527 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z 2.527 * [taylor]: Taking taylor expansion of z in z 2.527 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.527 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.528 * [taylor]: Taking taylor expansion of 0 in y 2.528 * [taylor]: Taking taylor expansion of 0 in z 2.529 * [taylor]: Taking taylor expansion of 0 in z 2.536 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y 2.536 * [taylor]: Taking taylor expansion of 1/2 in y 2.536 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 2.536 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 2.536 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 2.536 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 2.536 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.536 * [taylor]: Taking taylor expansion of y in y 2.536 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.536 * [taylor]: Taking taylor expansion of z in y 2.537 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.537 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.538 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 2.539 * [taylor]: Taking taylor expansion of 1/2 in z 2.539 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 2.539 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.539 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.539 * [taylor]: Taking taylor expansion of z in z 2.541 * [taylor]: Taking taylor expansion of 0 in z 2.543 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 2.543 * [taylor]: Taking taylor expansion of 1/2 in z 2.543 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 2.544 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.544 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.544 * [taylor]: Taking taylor expansion of z in z 2.549 * [approximate]: Taking taylor expansion of (* (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) (sqrt 0.3333333333333333)) in (x y z) around 0 2.549 * [taylor]: Taking taylor expansion of (* (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) (sqrt 0.3333333333333333)) in z 2.549 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in z 2.549 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 2.549 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in z 2.549 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z 2.549 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 2.549 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.549 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 2.549 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 2.549 * [taylor]: Taking taylor expansion of (/ 1 x) in z 2.549 * [taylor]: Taking taylor expansion of x in z 2.549 * [taylor]: Taking taylor expansion of (/ 1 x) in z 2.549 * [taylor]: Taking taylor expansion of x in z 2.549 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 2.549 * [taylor]: Taking taylor expansion of (/ 1 y) in z 2.549 * [taylor]: Taking taylor expansion of y in z 2.549 * [taylor]: Taking taylor expansion of (/ 1 y) in z 2.549 * [taylor]: Taking taylor expansion of y in z 2.550 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 2.551 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.551 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 2.551 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 2.551 * [taylor]: Taking taylor expansion of (/ 1 x) in z 2.551 * [taylor]: Taking taylor expansion of x in z 2.551 * [taylor]: Taking taylor expansion of (/ 1 x) in z 2.551 * [taylor]: Taking taylor expansion of x in z 2.551 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 2.551 * [taylor]: Taking taylor expansion of (/ 1 y) in z 2.551 * [taylor]: Taking taylor expansion of y in z 2.551 * [taylor]: Taking taylor expansion of (/ 1 y) in z 2.551 * [taylor]: Taking taylor expansion of y in z 2.552 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 2.552 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.552 * [taylor]: Taking taylor expansion of z in z 2.552 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.552 * [taylor]: Taking taylor expansion of z in z 2.555 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.555 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.556 * [taylor]: Taking taylor expansion of (* (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) (sqrt 0.3333333333333333)) in y 2.556 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y 2.556 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 2.556 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y 2.556 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 2.556 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 2.556 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.556 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 2.556 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.556 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.556 * [taylor]: Taking taylor expansion of x in y 2.556 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.556 * [taylor]: Taking taylor expansion of x in y 2.556 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.556 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.556 * [taylor]: Taking taylor expansion of y in y 2.557 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.557 * [taylor]: Taking taylor expansion of y in y 2.560 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 2.560 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.560 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 2.560 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.560 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.560 * [taylor]: Taking taylor expansion of x in y 2.560 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.560 * [taylor]: Taking taylor expansion of x in y 2.560 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.560 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.560 * [taylor]: Taking taylor expansion of y in y 2.560 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.560 * [taylor]: Taking taylor expansion of y in y 2.563 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 2.563 * [taylor]: Taking taylor expansion of (/ 1 z) in y 2.563 * [taylor]: Taking taylor expansion of z in y 2.563 * [taylor]: Taking taylor expansion of (/ 1 z) in y 2.563 * [taylor]: Taking taylor expansion of z in y 2.569 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.570 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.570 * [taylor]: Taking taylor expansion of (* (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) (sqrt 0.3333333333333333)) in x 2.570 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 2.571 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 2.571 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 2.571 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 2.571 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.571 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.571 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.571 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.571 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.571 * [taylor]: Taking taylor expansion of x in x 2.571 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.571 * [taylor]: Taking taylor expansion of x in x 2.571 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.571 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.571 * [taylor]: Taking taylor expansion of y in x 2.571 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.571 * [taylor]: Taking taylor expansion of y in x 2.574 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.574 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.574 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.574 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.574 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.574 * [taylor]: Taking taylor expansion of x in x 2.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.575 * [taylor]: Taking taylor expansion of x in x 2.575 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.575 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.575 * [taylor]: Taking taylor expansion of y in x 2.575 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.575 * [taylor]: Taking taylor expansion of y in x 2.578 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 2.578 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.578 * [taylor]: Taking taylor expansion of z in x 2.578 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.578 * [taylor]: Taking taylor expansion of z in x 2.579 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 2.580 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.580 * [taylor]: Taking taylor expansion of (* (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) (sqrt 0.3333333333333333)) in x 2.580 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 2.580 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 2.580 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 2.580 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 2.580 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.581 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.581 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.581 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.581 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.581 * [taylor]: Taking taylor expansion of x in x 2.581 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.581 * [taylor]: Taking taylor expansion of x in x 2.581 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.581 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.581 * [taylor]: Taking taylor expansion of y in x 2.581 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.581 * [taylor]: Taking taylor expansion of y in x 2.584 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.584 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.584 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.584 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.584 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.584 * [taylor]: Taking taylor expansion of x in x 2.584 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.584 * [taylor]: Taking taylor expansion of x in x 2.585 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.585 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.585 * [taylor]: Taking taylor expansion of y in x 2.585 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.585 * [taylor]: Taking taylor expansion of y in x 2.587 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 2.587 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.587 * [taylor]: Taking taylor expansion of z in x 2.588 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.588 * [taylor]: Taking taylor expansion of z in x 2.589 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 2.589 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.591 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.591 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.592 * [taylor]: Taking taylor expansion of 0 in y 2.592 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.592 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.601 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 2.601 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 2.601 * [taylor]: Taking taylor expansion of 1/2 in y 2.602 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 2.602 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.602 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.602 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.602 * [taylor]: Taking taylor expansion of z in y 2.603 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 2.603 * [taylor]: Taking taylor expansion of 1/2 in y 2.603 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 2.603 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.603 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.604 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.604 * [taylor]: Taking taylor expansion of y in y 2.606 * [taylor]: Taking taylor expansion of 0 in z 2.606 * [taylor]: Taking taylor expansion of 0 in z 2.607 * [taylor]: Taking taylor expansion of 0 in z 2.615 * [taylor]: Taking taylor expansion of 0 in y 2.618 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 2.618 * [taylor]: Taking taylor expansion of 1/2 in z 2.618 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 2.618 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.618 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.619 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.619 * [taylor]: Taking taylor expansion of z in z 2.621 * [taylor]: Taking taylor expansion of 0 in z 2.622 * [taylor]: Taking taylor expansion of 0 in z 2.634 * [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 2.634 * [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 2.634 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 2.634 * [taylor]: Taking taylor expansion of 1/8 in y 2.634 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 2.634 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.635 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.635 * [taylor]: Taking taylor expansion of (pow z 4) in y 2.635 * [taylor]: Taking taylor expansion of z in y 2.636 * [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 2.636 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 2.636 * [taylor]: Taking taylor expansion of 1/4 in y 2.636 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 2.636 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.636 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.637 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 2.637 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.637 * [taylor]: Taking taylor expansion of z in y 2.637 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.637 * [taylor]: Taking taylor expansion of y in y 2.638 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 2.638 * [taylor]: Taking taylor expansion of 1/8 in y 2.638 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 2.638 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.638 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.639 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.639 * [taylor]: Taking taylor expansion of y in y 2.651 * [taylor]: Taking taylor expansion of 0 in z 2.651 * [taylor]: Taking taylor expansion of 0 in z 2.655 * [taylor]: Taking taylor expansion of 0 in z 2.655 * [taylor]: Taking taylor expansion of 0 in z 2.656 * [taylor]: Taking taylor expansion of 0 in z 2.667 * [approximate]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z))) in (x y z) around 0 2.667 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z))) in z 2.667 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.667 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.668 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in z 2.668 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.668 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in z 2.668 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z 2.668 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 2.668 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.668 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 2.668 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 2.668 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.668 * [taylor]: Taking taylor expansion of -1 in z 2.668 * [taylor]: Taking taylor expansion of x in z 2.669 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.669 * [taylor]: Taking taylor expansion of -1 in z 2.669 * [taylor]: Taking taylor expansion of x in z 2.669 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 2.669 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.669 * [taylor]: Taking taylor expansion of -1 in z 2.669 * [taylor]: Taking taylor expansion of y in z 2.669 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.669 * [taylor]: Taking taylor expansion of -1 in z 2.669 * [taylor]: Taking taylor expansion of y in z 2.670 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 2.670 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.670 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 2.670 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 2.670 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.670 * [taylor]: Taking taylor expansion of -1 in z 2.670 * [taylor]: Taking taylor expansion of x in z 2.670 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.670 * [taylor]: Taking taylor expansion of -1 in z 2.670 * [taylor]: Taking taylor expansion of x in z 2.671 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 2.671 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.671 * [taylor]: Taking taylor expansion of -1 in z 2.671 * [taylor]: Taking taylor expansion of y in z 2.671 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.671 * [taylor]: Taking taylor expansion of -1 in z 2.671 * [taylor]: Taking taylor expansion of y in z 2.672 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 2.672 * [taylor]: Taking taylor expansion of (/ -1 z) in z 2.672 * [taylor]: Taking taylor expansion of -1 in z 2.672 * [taylor]: Taking taylor expansion of z in z 2.673 * [taylor]: Taking taylor expansion of (/ -1 z) in z 2.673 * [taylor]: Taking taylor expansion of -1 in z 2.673 * [taylor]: Taking taylor expansion of z in z 2.676 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z))) in y 2.676 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.676 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.677 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y 2.677 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.677 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y 2.677 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y 2.677 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 2.677 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.677 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 2.677 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.677 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.677 * [taylor]: Taking taylor expansion of -1 in y 2.677 * [taylor]: Taking taylor expansion of x in y 2.677 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.677 * [taylor]: Taking taylor expansion of -1 in y 2.677 * [taylor]: Taking taylor expansion of x in y 2.677 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.677 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.677 * [taylor]: Taking taylor expansion of -1 in y 2.677 * [taylor]: Taking taylor expansion of y in y 2.678 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.678 * [taylor]: Taking taylor expansion of -1 in y 2.678 * [taylor]: Taking taylor expansion of y in y 2.680 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 2.681 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.681 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 2.681 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.681 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.681 * [taylor]: Taking taylor expansion of -1 in y 2.681 * [taylor]: Taking taylor expansion of x in y 2.681 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.681 * [taylor]: Taking taylor expansion of -1 in y 2.681 * [taylor]: Taking taylor expansion of x in y 2.681 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.681 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.681 * [taylor]: Taking taylor expansion of -1 in y 2.681 * [taylor]: Taking taylor expansion of y in y 2.681 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.681 * [taylor]: Taking taylor expansion of -1 in y 2.681 * [taylor]: Taking taylor expansion of y in y 2.684 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 2.684 * [taylor]: Taking taylor expansion of (/ -1 z) in y 2.684 * [taylor]: Taking taylor expansion of -1 in y 2.684 * [taylor]: Taking taylor expansion of z in y 2.684 * [taylor]: Taking taylor expansion of (/ -1 z) in y 2.684 * [taylor]: Taking taylor expansion of -1 in y 2.685 * [taylor]: Taking taylor expansion of z in y 2.686 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z))) in x 2.686 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 2.686 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.687 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 2.687 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.687 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 2.687 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 2.687 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.687 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.687 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.687 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.687 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.687 * [taylor]: Taking taylor expansion of -1 in x 2.688 * [taylor]: Taking taylor expansion of x in x 2.688 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.688 * [taylor]: Taking taylor expansion of -1 in x 2.688 * [taylor]: Taking taylor expansion of x in x 2.688 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.688 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.688 * [taylor]: Taking taylor expansion of -1 in x 2.688 * [taylor]: Taking taylor expansion of y in x 2.688 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.688 * [taylor]: Taking taylor expansion of -1 in x 2.688 * [taylor]: Taking taylor expansion of y in x 2.691 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.691 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.691 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.691 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.691 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.691 * [taylor]: Taking taylor expansion of -1 in x 2.691 * [taylor]: Taking taylor expansion of x in x 2.692 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.692 * [taylor]: Taking taylor expansion of -1 in x 2.692 * [taylor]: Taking taylor expansion of x in x 2.692 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.692 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.692 * [taylor]: Taking taylor expansion of -1 in x 2.692 * [taylor]: Taking taylor expansion of y in x 2.692 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.692 * [taylor]: Taking taylor expansion of -1 in x 2.692 * [taylor]: Taking taylor expansion of y in x 2.695 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 2.695 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.695 * [taylor]: Taking taylor expansion of -1 in x 2.695 * [taylor]: Taking taylor expansion of z in x 2.695 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.695 * [taylor]: Taking taylor expansion of -1 in x 2.695 * [taylor]: Taking taylor expansion of z in x 2.697 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z))) in x 2.697 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 2.697 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.697 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 2.698 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.698 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 2.698 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 2.698 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.698 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.698 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.698 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.698 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.698 * [taylor]: Taking taylor expansion of -1 in x 2.698 * [taylor]: Taking taylor expansion of x in x 2.698 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.698 * [taylor]: Taking taylor expansion of -1 in x 2.698 * [taylor]: Taking taylor expansion of x in x 2.699 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.699 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.699 * [taylor]: Taking taylor expansion of -1 in x 2.699 * [taylor]: Taking taylor expansion of y in x 2.699 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.699 * [taylor]: Taking taylor expansion of -1 in x 2.699 * [taylor]: Taking taylor expansion of y in x 2.702 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.702 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.702 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.702 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.702 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.702 * [taylor]: Taking taylor expansion of -1 in x 2.702 * [taylor]: Taking taylor expansion of x in x 2.702 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.702 * [taylor]: Taking taylor expansion of -1 in x 2.702 * [taylor]: Taking taylor expansion of x in x 2.703 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.703 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.703 * [taylor]: Taking taylor expansion of -1 in x 2.703 * [taylor]: Taking taylor expansion of y in x 2.703 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.703 * [taylor]: Taking taylor expansion of -1 in x 2.703 * [taylor]: Taking taylor expansion of y in x 2.705 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 2.706 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.706 * [taylor]: Taking taylor expansion of -1 in x 2.706 * [taylor]: Taking taylor expansion of z in x 2.706 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.706 * [taylor]: Taking taylor expansion of -1 in x 2.706 * [taylor]: Taking taylor expansion of z in x 2.708 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.708 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.709 * [taylor]: Taking taylor expansion of 0 in y 2.709 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.709 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.718 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 2.719 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 2.719 * [taylor]: Taking taylor expansion of 1/2 in y 2.719 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 2.719 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.719 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.719 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.719 * [taylor]: Taking taylor expansion of z in y 2.720 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 2.720 * [taylor]: Taking taylor expansion of 1/2 in y 2.720 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 2.720 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.720 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.721 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.721 * [taylor]: Taking taylor expansion of y in y 2.723 * [taylor]: Taking taylor expansion of 0 in z 2.723 * [taylor]: Taking taylor expansion of 0 in z 2.723 * [taylor]: Taking taylor expansion of 0 in z 2.733 * [taylor]: Taking taylor expansion of 0 in y 2.736 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 2.737 * [taylor]: Taking taylor expansion of 1/2 in z 2.737 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 2.737 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.737 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.737 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.737 * [taylor]: Taking taylor expansion of z in z 2.740 * [taylor]: Taking taylor expansion of 0 in z 2.740 * [taylor]: Taking taylor expansion of 0 in z 2.753 * [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 2.753 * [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 2.753 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 2.753 * [taylor]: Taking taylor expansion of 1/8 in y 2.753 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 2.753 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.753 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.754 * [taylor]: Taking taylor expansion of (pow z 4) in y 2.754 * [taylor]: Taking taylor expansion of z in y 2.754 * [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 2.754 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 2.754 * [taylor]: Taking taylor expansion of 1/4 in y 2.754 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 2.754 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.754 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.755 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 2.755 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.755 * [taylor]: Taking taylor expansion of z in y 2.755 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.755 * [taylor]: Taking taylor expansion of y in y 2.756 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 2.756 * [taylor]: Taking taylor expansion of 1/8 in y 2.756 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 2.756 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.756 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.762 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.762 * [taylor]: Taking taylor expansion of y in y 2.772 * [taylor]: Taking taylor expansion of 0 in z 2.773 * [taylor]: Taking taylor expansion of 0 in z 2.777 * [taylor]: Taking taylor expansion of 0 in z 2.777 * [taylor]: Taking taylor expansion of 0 in z 2.777 * [taylor]: Taking taylor expansion of 0 in z 2.780 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.780 * [approximate]: Taking taylor expansion of (hypot (hypot x y) z) in (x y z) around 0 2.780 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in z 2.781 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 2.781 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in z 2.781 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z 2.781 * [taylor]: Taking taylor expansion of (hypot x y) in z 2.781 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.781 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 2.781 * [taylor]: Taking taylor expansion of (* x x) in z 2.781 * [taylor]: Taking taylor expansion of x in z 2.781 * [taylor]: Taking taylor expansion of x in z 2.781 * [taylor]: Taking taylor expansion of (* y y) in z 2.781 * [taylor]: Taking taylor expansion of y in z 2.781 * [taylor]: Taking taylor expansion of y in z 2.782 * [taylor]: Taking taylor expansion of (hypot x y) in z 2.782 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.782 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 2.782 * [taylor]: Taking taylor expansion of (* x x) in z 2.782 * [taylor]: Taking taylor expansion of x in z 2.782 * [taylor]: Taking taylor expansion of x in z 2.782 * [taylor]: Taking taylor expansion of (* y y) in z 2.782 * [taylor]: Taking taylor expansion of y in z 2.782 * [taylor]: Taking taylor expansion of y in z 2.783 * [taylor]: Taking taylor expansion of (* z z) in z 2.783 * [taylor]: Taking taylor expansion of z in z 2.783 * [taylor]: Taking taylor expansion of z in z 2.785 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in y 2.785 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 2.785 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in y 2.785 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y 2.785 * [taylor]: Taking taylor expansion of (hypot x y) in y 2.785 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.785 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 2.785 * [taylor]: Taking taylor expansion of (* x x) in y 2.785 * [taylor]: Taking taylor expansion of x in y 2.785 * [taylor]: Taking taylor expansion of x in y 2.785 * [taylor]: Taking taylor expansion of (* y y) in y 2.785 * [taylor]: Taking taylor expansion of y in y 2.785 * [taylor]: Taking taylor expansion of y in y 2.786 * [taylor]: Taking taylor expansion of (hypot x y) in y 2.786 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.786 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 2.786 * [taylor]: Taking taylor expansion of (* x x) in y 2.786 * [taylor]: Taking taylor expansion of x in y 2.786 * [taylor]: Taking taylor expansion of x in y 2.786 * [taylor]: Taking taylor expansion of (* y y) in y 2.786 * [taylor]: Taking taylor expansion of y in y 2.786 * [taylor]: Taking taylor expansion of y in y 2.788 * [taylor]: Taking taylor expansion of (* z z) in y 2.788 * [taylor]: Taking taylor expansion of z in y 2.788 * [taylor]: Taking taylor expansion of z in y 2.788 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 2.789 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 2.789 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 2.789 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 2.789 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.789 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.789 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.789 * [taylor]: Taking taylor expansion of (* x x) in x 2.789 * [taylor]: Taking taylor expansion of x in x 2.789 * [taylor]: Taking taylor expansion of x in x 2.789 * [taylor]: Taking taylor expansion of (* y y) in x 2.789 * [taylor]: Taking taylor expansion of y in x 2.789 * [taylor]: Taking taylor expansion of y in x 2.790 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.790 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.790 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.790 * [taylor]: Taking taylor expansion of (* x x) in x 2.790 * [taylor]: Taking taylor expansion of x in x 2.790 * [taylor]: Taking taylor expansion of x in x 2.790 * [taylor]: Taking taylor expansion of (* y y) in x 2.790 * [taylor]: Taking taylor expansion of y in x 2.790 * [taylor]: Taking taylor expansion of y in x 2.792 * [taylor]: Taking taylor expansion of (* z z) in x 2.792 * [taylor]: Taking taylor expansion of z in x 2.792 * [taylor]: Taking taylor expansion of z in x 2.792 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 2.793 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 2.793 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 2.793 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 2.793 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.793 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.793 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.793 * [taylor]: Taking taylor expansion of (* x x) in x 2.793 * [taylor]: Taking taylor expansion of x in x 2.793 * [taylor]: Taking taylor expansion of x in x 2.793 * [taylor]: Taking taylor expansion of (* y y) in x 2.793 * [taylor]: Taking taylor expansion of y in x 2.793 * [taylor]: Taking taylor expansion of y in x 2.794 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.794 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.794 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.794 * [taylor]: Taking taylor expansion of (* x x) in x 2.794 * [taylor]: Taking taylor expansion of x in x 2.794 * [taylor]: Taking taylor expansion of x in x 2.794 * [taylor]: Taking taylor expansion of (* y y) in x 2.794 * [taylor]: Taking taylor expansion of y in x 2.794 * [taylor]: Taking taylor expansion of y in x 2.796 * [taylor]: Taking taylor expansion of (* z z) in x 2.796 * [taylor]: Taking taylor expansion of z in x 2.796 * [taylor]: Taking taylor expansion of z in x 2.797 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 2.797 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 2.797 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.797 * [taylor]: Taking taylor expansion of y in y 2.797 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.797 * [taylor]: Taking taylor expansion of z in y 2.798 * [taylor]: Taking taylor expansion of z in z 2.798 * [taylor]: Taking taylor expansion of 0 in y 2.798 * [taylor]: Taking taylor expansion of 0 in z 2.798 * [taylor]: Taking taylor expansion of 0 in z 2.802 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 2.802 * [taylor]: Taking taylor expansion of 1/2 in y 2.803 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 2.803 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 2.803 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 2.803 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.803 * [taylor]: Taking taylor expansion of y in y 2.803 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.803 * [taylor]: Taking taylor expansion of z in y 2.803 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 2.803 * [taylor]: Taking taylor expansion of 1/2 in z 2.804 * [taylor]: Taking taylor expansion of z in z 2.804 * [taylor]: Taking taylor expansion of 0 in z 2.806 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 2.806 * [taylor]: Taking taylor expansion of 1/2 in z 2.806 * [taylor]: Taking taylor expansion of z in z 2.807 * [approximate]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in (x y z) around 0 2.807 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in z 2.807 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 2.807 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in z 2.807 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z 2.807 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 2.807 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.807 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 2.807 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 2.807 * [taylor]: Taking taylor expansion of (/ 1 x) in z 2.807 * [taylor]: Taking taylor expansion of x in z 2.807 * [taylor]: Taking taylor expansion of (/ 1 x) in z 2.807 * [taylor]: Taking taylor expansion of x in z 2.807 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 2.807 * [taylor]: Taking taylor expansion of (/ 1 y) in z 2.807 * [taylor]: Taking taylor expansion of y in z 2.807 * [taylor]: Taking taylor expansion of (/ 1 y) in z 2.807 * [taylor]: Taking taylor expansion of y in z 2.809 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 2.809 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.809 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 2.809 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 2.809 * [taylor]: Taking taylor expansion of (/ 1 x) in z 2.809 * [taylor]: Taking taylor expansion of x in z 2.809 * [taylor]: Taking taylor expansion of (/ 1 x) in z 2.809 * [taylor]: Taking taylor expansion of x in z 2.809 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 2.809 * [taylor]: Taking taylor expansion of (/ 1 y) in z 2.809 * [taylor]: Taking taylor expansion of y in z 2.809 * [taylor]: Taking taylor expansion of (/ 1 y) in z 2.809 * [taylor]: Taking taylor expansion of y in z 2.810 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 2.810 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.810 * [taylor]: Taking taylor expansion of z in z 2.811 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.811 * [taylor]: Taking taylor expansion of z in z 2.813 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y 2.814 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 2.814 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y 2.814 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 2.814 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 2.814 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.814 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 2.814 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.814 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.814 * [taylor]: Taking taylor expansion of x in y 2.814 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.814 * [taylor]: Taking taylor expansion of x in y 2.814 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.814 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.814 * [taylor]: Taking taylor expansion of y in y 2.814 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.814 * [taylor]: Taking taylor expansion of y in y 2.817 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 2.817 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.817 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 2.817 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.818 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.818 * [taylor]: Taking taylor expansion of x in y 2.818 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.818 * [taylor]: Taking taylor expansion of x in y 2.818 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.818 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.818 * [taylor]: Taking taylor expansion of y in y 2.818 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.818 * [taylor]: Taking taylor expansion of y in y 2.821 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 2.821 * [taylor]: Taking taylor expansion of (/ 1 z) in y 2.821 * [taylor]: Taking taylor expansion of z in y 2.821 * [taylor]: Taking taylor expansion of (/ 1 z) in y 2.821 * [taylor]: Taking taylor expansion of z in y 2.823 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 2.823 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 2.823 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 2.823 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 2.823 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.823 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.823 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.823 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.823 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.823 * [taylor]: Taking taylor expansion of x in x 2.824 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.824 * [taylor]: Taking taylor expansion of x in x 2.824 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.824 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.824 * [taylor]: Taking taylor expansion of y in x 2.824 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.824 * [taylor]: Taking taylor expansion of y in x 2.827 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.827 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.827 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.827 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.827 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.827 * [taylor]: Taking taylor expansion of x in x 2.827 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.827 * [taylor]: Taking taylor expansion of x in x 2.827 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.828 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.828 * [taylor]: Taking taylor expansion of y in x 2.828 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.828 * [taylor]: Taking taylor expansion of y in x 2.830 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 2.830 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.830 * [taylor]: Taking taylor expansion of z in x 2.830 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.830 * [taylor]: Taking taylor expansion of z in x 2.832 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 2.832 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 2.832 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 2.832 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 2.832 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.832 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.832 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.832 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.832 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.833 * [taylor]: Taking taylor expansion of x in x 2.833 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.833 * [taylor]: Taking taylor expansion of x in x 2.833 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.833 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.833 * [taylor]: Taking taylor expansion of y in x 2.833 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.833 * [taylor]: Taking taylor expansion of y in x 2.836 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.836 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.836 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.836 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.836 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.836 * [taylor]: Taking taylor expansion of x in x 2.836 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.836 * [taylor]: Taking taylor expansion of x in x 2.837 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.837 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.837 * [taylor]: Taking taylor expansion of y in x 2.837 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.837 * [taylor]: Taking taylor expansion of y in x 2.839 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 2.839 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.839 * [taylor]: Taking taylor expansion of z in x 2.839 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.839 * [taylor]: Taking taylor expansion of z in x 2.841 * [taylor]: Taking taylor expansion of 1 in y 2.841 * [taylor]: Taking taylor expansion of 0 in y 2.841 * [taylor]: Taking taylor expansion of 1 in z 2.848 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 2.848 * [taylor]: Taking taylor expansion of 1/2 in y 2.848 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 2.848 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 2.848 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.848 * [taylor]: Taking taylor expansion of z in y 2.848 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.848 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.848 * [taylor]: Taking taylor expansion of y in y 2.851 * [taylor]: Taking taylor expansion of 0 in z 2.851 * [taylor]: Taking taylor expansion of 0 in z 2.851 * [taylor]: Taking taylor expansion of 0 in z 2.863 * [taylor]: Taking taylor expansion of 0 in y 2.865 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 2.865 * [taylor]: Taking taylor expansion of 1/2 in z 2.865 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 2.865 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.865 * [taylor]: Taking taylor expansion of z in z 2.867 * [taylor]: Taking taylor expansion of 0 in z 2.867 * [taylor]: Taking taylor expansion of 0 in z 2.876 * [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 2.876 * [taylor]: Taking taylor expansion of -1/2 in y 2.876 * [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 2.876 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 2.876 * [taylor]: Taking taylor expansion of 1/4 in y 2.876 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 2.876 * [taylor]: Taking taylor expansion of (pow z 4) in y 2.876 * [taylor]: Taking taylor expansion of z in y 2.877 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 2.877 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 2.877 * [taylor]: Taking taylor expansion of 1/2 in y 2.877 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 2.877 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 2.877 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.877 * [taylor]: Taking taylor expansion of z in y 2.877 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.877 * [taylor]: Taking taylor expansion of y in y 2.877 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 2.877 * [taylor]: Taking taylor expansion of 1/4 in y 2.877 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.877 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.877 * [taylor]: Taking taylor expansion of y in y 2.888 * [taylor]: Taking taylor expansion of 0 in z 2.888 * [taylor]: Taking taylor expansion of 0 in z 2.890 * [taylor]: Taking taylor expansion of 0 in z 2.890 * [taylor]: Taking taylor expansion of 0 in z 2.890 * [taylor]: Taking taylor expansion of 0 in z 2.892 * [approximate]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in (x y z) around 0 2.892 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in z 2.892 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.892 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in z 2.893 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z 2.893 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 2.893 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.893 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 2.893 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 2.893 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.893 * [taylor]: Taking taylor expansion of -1 in z 2.893 * [taylor]: Taking taylor expansion of x in z 2.893 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.893 * [taylor]: Taking taylor expansion of -1 in z 2.893 * [taylor]: Taking taylor expansion of x in z 2.893 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 2.893 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.893 * [taylor]: Taking taylor expansion of -1 in z 2.893 * [taylor]: Taking taylor expansion of y in z 2.893 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.893 * [taylor]: Taking taylor expansion of -1 in z 2.893 * [taylor]: Taking taylor expansion of y in z 2.894 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 2.894 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.894 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 2.894 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 2.894 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.894 * [taylor]: Taking taylor expansion of -1 in z 2.894 * [taylor]: Taking taylor expansion of x in z 2.895 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.895 * [taylor]: Taking taylor expansion of -1 in z 2.895 * [taylor]: Taking taylor expansion of x in z 2.895 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 2.895 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.895 * [taylor]: Taking taylor expansion of -1 in z 2.895 * [taylor]: Taking taylor expansion of y in z 2.895 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.895 * [taylor]: Taking taylor expansion of -1 in z 2.895 * [taylor]: Taking taylor expansion of y in z 2.896 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 2.896 * [taylor]: Taking taylor expansion of (/ -1 z) in z 2.896 * [taylor]: Taking taylor expansion of -1 in z 2.896 * [taylor]: Taking taylor expansion of z in z 2.896 * [taylor]: Taking taylor expansion of (/ -1 z) in z 2.896 * [taylor]: Taking taylor expansion of -1 in z 2.896 * [taylor]: Taking taylor expansion of z in z 2.899 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y 2.900 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.900 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y 2.900 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y 2.900 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 2.900 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.900 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 2.900 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.900 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.900 * [taylor]: Taking taylor expansion of -1 in y 2.900 * [taylor]: Taking taylor expansion of x in y 2.900 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.900 * [taylor]: Taking taylor expansion of -1 in y 2.900 * [taylor]: Taking taylor expansion of x in y 2.900 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.900 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.900 * [taylor]: Taking taylor expansion of -1 in y 2.900 * [taylor]: Taking taylor expansion of y in y 2.901 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.901 * [taylor]: Taking taylor expansion of -1 in y 2.901 * [taylor]: Taking taylor expansion of y in y 2.903 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 2.904 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.904 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 2.904 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.904 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.904 * [taylor]: Taking taylor expansion of -1 in y 2.904 * [taylor]: Taking taylor expansion of x in y 2.904 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.904 * [taylor]: Taking taylor expansion of -1 in y 2.904 * [taylor]: Taking taylor expansion of x in y 2.904 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.904 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.904 * [taylor]: Taking taylor expansion of -1 in y 2.904 * [taylor]: Taking taylor expansion of y in y 2.904 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.904 * [taylor]: Taking taylor expansion of -1 in y 2.904 * [taylor]: Taking taylor expansion of y in y 2.907 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 2.907 * [taylor]: Taking taylor expansion of (/ -1 z) in y 2.907 * [taylor]: Taking taylor expansion of -1 in y 2.907 * [taylor]: Taking taylor expansion of z in y 2.907 * [taylor]: Taking taylor expansion of (/ -1 z) in y 2.907 * [taylor]: Taking taylor expansion of -1 in y 2.907 * [taylor]: Taking taylor expansion of z in y 2.909 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 2.909 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.909 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 2.909 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 2.909 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.910 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.910 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.910 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.910 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.910 * [taylor]: Taking taylor expansion of -1 in x 2.910 * [taylor]: Taking taylor expansion of x in x 2.910 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.910 * [taylor]: Taking taylor expansion of -1 in x 2.910 * [taylor]: Taking taylor expansion of x in x 2.910 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.910 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.910 * [taylor]: Taking taylor expansion of -1 in x 2.910 * [taylor]: Taking taylor expansion of y in x 2.910 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.910 * [taylor]: Taking taylor expansion of -1 in x 2.910 * [taylor]: Taking taylor expansion of y in x 2.913 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.913 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.913 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.913 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.913 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.913 * [taylor]: Taking taylor expansion of -1 in x 2.913 * [taylor]: Taking taylor expansion of x in x 2.914 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.914 * [taylor]: Taking taylor expansion of -1 in x 2.914 * [taylor]: Taking taylor expansion of x in x 2.914 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.914 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.914 * [taylor]: Taking taylor expansion of -1 in x 2.914 * [taylor]: Taking taylor expansion of y in x 2.914 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.914 * [taylor]: Taking taylor expansion of -1 in x 2.914 * [taylor]: Taking taylor expansion of y in x 2.917 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 2.917 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.917 * [taylor]: Taking taylor expansion of -1 in x 2.917 * [taylor]: Taking taylor expansion of z in x 2.917 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.917 * [taylor]: Taking taylor expansion of -1 in x 2.918 * [taylor]: Taking taylor expansion of z in x 2.919 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 2.919 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.919 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 2.919 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 2.920 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.920 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.920 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.920 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.920 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.920 * [taylor]: Taking taylor expansion of -1 in x 2.920 * [taylor]: Taking taylor expansion of x in x 2.920 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.920 * [taylor]: Taking taylor expansion of -1 in x 2.920 * [taylor]: Taking taylor expansion of x in x 2.920 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.920 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.920 * [taylor]: Taking taylor expansion of -1 in x 2.920 * [taylor]: Taking taylor expansion of y in x 2.920 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.920 * [taylor]: Taking taylor expansion of -1 in x 2.921 * [taylor]: Taking taylor expansion of y in x 2.923 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.923 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.923 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.923 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.923 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.923 * [taylor]: Taking taylor expansion of -1 in x 2.923 * [taylor]: Taking taylor expansion of x in x 2.924 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.924 * [taylor]: Taking taylor expansion of -1 in x 2.924 * [taylor]: Taking taylor expansion of x in x 2.924 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.924 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.924 * [taylor]: Taking taylor expansion of -1 in x 2.924 * [taylor]: Taking taylor expansion of y in x 2.924 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.924 * [taylor]: Taking taylor expansion of -1 in x 2.924 * [taylor]: Taking taylor expansion of y in x 2.927 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 2.927 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.927 * [taylor]: Taking taylor expansion of -1 in x 2.927 * [taylor]: Taking taylor expansion of z in x 2.927 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.927 * [taylor]: Taking taylor expansion of -1 in x 2.927 * [taylor]: Taking taylor expansion of z in x 2.929 * [taylor]: Taking taylor expansion of 1 in y 2.929 * [taylor]: Taking taylor expansion of 0 in y 2.929 * [taylor]: Taking taylor expansion of 1 in z 2.936 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 2.936 * [taylor]: Taking taylor expansion of 1/2 in y 2.936 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 2.936 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 2.936 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.936 * [taylor]: Taking taylor expansion of z in y 2.936 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.936 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.936 * [taylor]: Taking taylor expansion of y in y 2.938 * [taylor]: Taking taylor expansion of 0 in z 2.939 * [taylor]: Taking taylor expansion of 0 in z 2.939 * [taylor]: Taking taylor expansion of 0 in z 2.945 * [taylor]: Taking taylor expansion of 0 in y 2.953 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 2.953 * [taylor]: Taking taylor expansion of 1/2 in z 2.953 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 2.953 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.953 * [taylor]: Taking taylor expansion of z in z 2.955 * [taylor]: Taking taylor expansion of 0 in z 2.955 * [taylor]: Taking taylor expansion of 0 in z 2.964 * [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 2.964 * [taylor]: Taking taylor expansion of -1/2 in y 2.964 * [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 2.964 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 2.964 * [taylor]: Taking taylor expansion of 1/4 in y 2.964 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 2.964 * [taylor]: Taking taylor expansion of (pow z 4) in y 2.964 * [taylor]: Taking taylor expansion of z in y 2.965 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 2.965 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 2.965 * [taylor]: Taking taylor expansion of 1/2 in y 2.965 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 2.965 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 2.965 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.965 * [taylor]: Taking taylor expansion of z in y 2.965 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.965 * [taylor]: Taking taylor expansion of y in y 2.965 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 2.965 * [taylor]: Taking taylor expansion of 1/4 in y 2.965 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.965 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.965 * [taylor]: Taking taylor expansion of y in y 2.976 * [taylor]: Taking taylor expansion of 0 in z 2.976 * [taylor]: Taking taylor expansion of 0 in z 2.978 * [taylor]: Taking taylor expansion of 0 in z 2.978 * [taylor]: Taking taylor expansion of 0 in z 2.978 * [taylor]: Taking taylor expansion of 0 in z 2.980 * * * [progress]: simplifying candidates 2.981 * [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)) (expm1 (hypot (hypot x y) z)) (log1p (hypot (hypot x y) z)) (+ (* (hypot x y) (hypot x y)) (* z z)) (log (hypot (hypot x y) z)) (exp (hypot (hypot x y) z)) (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z))) (cbrt (hypot (hypot x y) z)) (* (* (hypot (hypot x y) z) (hypot (hypot x y) z)) (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) z x (* -1 x) 2.986 * * [simplify]: iteration 0 : 161 enodes (cost 331 ) 2.989 * * [simplify]: iteration 1 : 493 enodes (cost 304 ) 2.999 * * [simplify]: iteration 2 : 1218 enodes (cost 288 ) 3.016 * * [simplify]: iteration 3 : 2234 enodes (cost 277 ) 3.047 * * [simplify]: iteration 4 : 5002 enodes (cost 277 ) 3.049 * [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) (expm1 (hypot (hypot x y) z)) (log1p (hypot (hypot x y) z)) (fma (hypot x y) (hypot x y) (* z z)) (log (hypot (hypot x y) z)) (exp (hypot (hypot x y) z)) (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z))) (cbrt (hypot (hypot x y) z)) (pow (hypot (hypot x y) z) 3) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) z x (* -1 x) 3.050 * * * [progress]: adding candidates to table 3.197 * [progress]: [Phase 3 of 3] Extracting. 3.197 * * [regime]: Finding splitpoints for: (# # #) 3.197 * * * [regime-changes]: Trying 3 branch expressions: (z y x) 3.197 * * * * [regimes]: Trying to branch on z from (# # #) 3.217 * * * * [regimes]: Trying to branch on y from (# # #) 3.234 * * * * [regimes]: Trying to branch on x from (# # #) 3.253 * * * [regime]: Found split indices: #