29.259 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) 0.022 * * [simplify]: iteration 0 : 16 enodes (cost 7 ) 0.024 * * [simplify]: iteration 1 : 27 enodes (cost 7 ) 0.026 * * [simplify]: iteration 2 : 33 enodes (cost 7 ) 0.028 * * [simplify]: iteration 3 : 34 enodes (cost 7 ) 0.030 * * [simplify]: iteration 4 : 34 enodes (cost 7 ) 0.030 * [simplify]: Simplified to: (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) 0.030 * * [progress]: iteration 1 / 4 0.030 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.043 * * * [progress]: generating rewritten candidates 0.043 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.057 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.093 * * * [progress]: generating series expansions 0.093 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.093 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in (x y z) around 0 0.093 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z 0.093 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.093 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.093 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.093 * [taylor]: Taking taylor expansion of x in z 0.093 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.093 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.093 * [taylor]: Taking taylor expansion of y in z 0.093 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.093 * [taylor]: Taking taylor expansion of z in z 0.095 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.095 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.096 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 0.096 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.096 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.096 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.096 * [taylor]: Taking taylor expansion of x in y 0.096 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.096 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.096 * [taylor]: Taking taylor expansion of y in y 0.096 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.096 * [taylor]: Taking taylor expansion of z in y 0.097 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.097 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.098 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x 0.098 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.098 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.098 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.098 * [taylor]: Taking taylor expansion of y in x 0.098 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.098 * [taylor]: Taking taylor expansion of z in x 0.099 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.100 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.100 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x 0.100 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.100 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.100 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.100 * [taylor]: Taking taylor expansion of y in x 0.101 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.101 * [taylor]: Taking taylor expansion of z in x 0.102 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.102 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.103 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y 0.103 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.103 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.103 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.103 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.103 * [taylor]: Taking taylor expansion of z in y 0.104 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.104 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.105 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z 0.105 * [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 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [taylor]: Taking taylor expansion of 0 in z 0.107 * [taylor]: Taking taylor expansion of 0 in z 0.113 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y 0.113 * [taylor]: Taking taylor expansion of 1/2 in y 0.113 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 0.113 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.113 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.113 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.113 * [taylor]: Taking taylor expansion of z in y 0.114 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.114 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.115 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 0.115 * [taylor]: Taking taylor expansion of 1/2 in z 0.115 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 0.115 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.115 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.116 * [taylor]: Taking taylor expansion of z in z 0.118 * [taylor]: Taking taylor expansion of 0 in z 0.120 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 0.120 * [taylor]: Taking taylor expansion of 1/2 in z 0.120 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 0.120 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.120 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.121 * [taylor]: Taking taylor expansion of z in z 0.125 * [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 0.125 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.125 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.125 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.125 * [taylor]: Taking taylor expansion of x in z 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.125 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.125 * [taylor]: Taking taylor expansion of z in z 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.126 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.126 * [taylor]: Taking taylor expansion of y in z 0.129 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.129 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.130 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 0.130 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.130 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.130 * [taylor]: Taking taylor expansion of x in y 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.130 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.130 * [taylor]: Taking taylor expansion of z in y 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.130 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.130 * [taylor]: Taking taylor expansion of y 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 (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.134 * [taylor]: Taking taylor expansion of z in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.135 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.135 * [taylor]: Taking taylor expansion of y in x 0.137 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.137 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.138 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.138 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.138 * [taylor]: Taking taylor expansion of z in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.138 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.138 * [taylor]: Taking taylor expansion of y in x 0.140 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.141 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.142 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.142 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.143 * [taylor]: Taking taylor expansion of 0 in y 0.143 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.143 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.148 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 0.148 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 0.148 * [taylor]: Taking taylor expansion of 1/2 in y 0.148 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 0.148 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.148 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.149 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.149 * [taylor]: Taking taylor expansion of z in y 0.150 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 0.150 * [taylor]: Taking taylor expansion of 1/2 in y 0.150 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 0.150 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.150 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.150 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.153 * [taylor]: Taking taylor expansion of 0 in z 0.153 * [taylor]: Taking taylor expansion of 0 in z 0.153 * [taylor]: Taking taylor expansion of 0 in z 0.158 * [taylor]: Taking taylor expansion of 0 in y 0.161 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 0.161 * [taylor]: Taking taylor expansion of 1/2 in z 0.161 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 0.161 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.161 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.162 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.162 * [taylor]: Taking taylor expansion of z in z 0.164 * [taylor]: Taking taylor expansion of 0 in z 0.165 * [taylor]: Taking taylor expansion of 0 in z 0.172 * [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 0.172 * [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 0.172 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 0.172 * [taylor]: Taking taylor expansion of 1/8 in y 0.172 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 0.172 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.172 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.173 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.173 * [taylor]: Taking taylor expansion of z in y 0.174 * [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 0.174 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 0.174 * [taylor]: Taking taylor expansion of 1/4 in y 0.174 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (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 z 2) (pow y 2)) in y 0.175 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.175 * [taylor]: Taking taylor expansion of z in y 0.175 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.175 * [taylor]: Taking taylor expansion of y in y 0.175 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 0.175 * [taylor]: Taking taylor expansion of 1/8 in y 0.176 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 0.176 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.176 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.176 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.176 * [taylor]: Taking taylor expansion of y in y 0.193 * [taylor]: Taking taylor expansion of 0 in z 0.193 * [taylor]: Taking taylor expansion of 0 in z 0.197 * [taylor]: Taking taylor expansion of 0 in z 0.197 * [taylor]: Taking taylor expansion of 0 in z 0.198 * [taylor]: Taking taylor expansion of 0 in z 0.201 * [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 0.201 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.201 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.201 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.202 * [taylor]: Taking taylor expansion of x in z 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.202 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.202 * [taylor]: Taking taylor expansion of z in z 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.202 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.202 * [taylor]: Taking taylor expansion of y in z 0.205 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.205 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.206 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 0.206 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.206 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.206 * [taylor]: Taking taylor expansion of x in y 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.206 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.206 * [taylor]: Taking taylor expansion of z in y 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.206 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.209 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.209 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.210 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.210 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.210 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.211 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.211 * [taylor]: Taking taylor expansion of z in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.211 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.211 * [taylor]: Taking taylor expansion of y in x 0.213 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.213 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.214 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.214 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.214 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.214 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.214 * [taylor]: Taking taylor expansion of z in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.215 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.215 * [taylor]: Taking taylor expansion of y in x 0.217 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.217 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.218 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.218 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.219 * [taylor]: Taking taylor expansion of 0 in y 0.219 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.219 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.224 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 0.224 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 0.224 * [taylor]: Taking taylor expansion of 1/2 in y 0.224 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 0.224 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.224 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.225 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.225 * [taylor]: Taking taylor expansion of z in y 0.226 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 0.226 * [taylor]: Taking taylor expansion of 1/2 in y 0.226 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 0.226 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.226 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.229 * [taylor]: Taking taylor expansion of 0 in z 0.229 * [taylor]: Taking taylor expansion of 0 in z 0.229 * [taylor]: Taking taylor expansion of 0 in z 0.234 * [taylor]: Taking taylor expansion of 0 in y 0.237 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 0.238 * [taylor]: Taking taylor expansion of 1/2 in z 0.238 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 0.238 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.238 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.238 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.238 * [taylor]: Taking taylor expansion of z in z 0.241 * [taylor]: Taking taylor expansion of 0 in z 0.241 * [taylor]: Taking taylor expansion of 0 in z 0.248 * [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 0.248 * [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 0.248 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 0.248 * [taylor]: Taking taylor expansion of 1/8 in y 0.248 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 0.248 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.249 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.249 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.249 * [taylor]: Taking taylor expansion of z in y 0.250 * [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 0.250 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 0.250 * [taylor]: Taking taylor expansion of 1/4 in y 0.250 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 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) (pow y 2)) 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 (pow y 2) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 0.252 * [taylor]: Taking taylor expansion of 1/8 in y 0.252 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 0.252 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.252 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.252 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.253 * [taylor]: Taking taylor expansion of y in y 0.263 * [taylor]: Taking taylor expansion of 0 in z 0.263 * [taylor]: Taking taylor expansion of 0 in z 0.267 * [taylor]: Taking taylor expansion of 0 in z 0.267 * [taylor]: Taking taylor expansion of 0 in z 0.268 * [taylor]: Taking taylor expansion of 0 in z 0.271 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.277 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.277 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.277 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.277 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.277 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.277 * [taylor]: Taking taylor expansion of x in z 0.277 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.277 * [taylor]: Taking taylor expansion of y in z 0.277 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.277 * [taylor]: Taking taylor expansion of z in z 0.277 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.277 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.277 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.277 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.277 * [taylor]: Taking taylor expansion of x in y 0.278 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.278 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.278 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.278 * [taylor]: Taking taylor expansion of z in y 0.278 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.278 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.278 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.278 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.278 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.278 * [taylor]: Taking taylor expansion of y in x 0.278 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.278 * [taylor]: Taking taylor expansion of z in x 0.278 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.278 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.278 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.278 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.278 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.278 * [taylor]: Taking taylor expansion of y in x 0.278 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.278 * [taylor]: Taking taylor expansion of z in x 0.279 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (pow z 2))) in y 0.279 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.279 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.279 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.279 * [taylor]: Taking taylor expansion of z in y 0.279 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow z 2)) in z 0.279 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.279 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.279 * [taylor]: Taking taylor expansion of z in z 0.280 * [taylor]: Taking taylor expansion of 0 in y 0.280 * [taylor]: Taking taylor expansion of 0 in z 0.281 * [taylor]: Taking taylor expansion of 0 in z 0.283 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.283 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.283 * [taylor]: Taking taylor expansion of 0 in z 0.285 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.286 * [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 0.286 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.286 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.286 * [taylor]: Taking taylor expansion of x in z 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.286 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.286 * [taylor]: Taking taylor expansion of z in z 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.287 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.287 * [taylor]: Taking taylor expansion of y in z 0.287 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.287 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.287 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.287 * [taylor]: Taking taylor expansion of x in y 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.288 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.288 * [taylor]: Taking taylor expansion of z in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.288 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.288 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.288 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.289 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.289 * [taylor]: Taking taylor expansion of z in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.289 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.289 * [taylor]: Taking taylor expansion of y in x 0.289 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.289 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.290 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.290 * [taylor]: Taking taylor expansion of z in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.290 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.290 * [taylor]: Taking taylor expansion of y in x 0.291 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.292 * [taylor]: Taking taylor expansion of 0 in y 0.295 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow z 2))) (* 0.3333333333333333 (/ 1 (pow y 2)))) in y 0.295 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in y 0.295 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.295 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.295 * [taylor]: Taking taylor expansion of z in y 0.295 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow y 2))) in y 0.295 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.295 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.295 * [taylor]: Taking taylor expansion of y in y 0.296 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.296 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.299 * [taylor]: Taking taylor expansion of 0 in y 0.301 * [taylor]: Taking taylor expansion of 0 in z 0.301 * [taylor]: Taking taylor expansion of 0 in z 0.301 * [taylor]: Taking taylor expansion of 0 in z 0.305 * [taylor]: Taking taylor expansion of 0 in y 0.307 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in z 0.307 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.307 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.307 * [taylor]: Taking taylor expansion of z in z 0.308 * [taylor]: Taking taylor expansion of 0 in z 0.308 * [taylor]: Taking taylor expansion of 0 in z 0.309 * [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 0.309 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.309 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.309 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.309 * [taylor]: Taking taylor expansion of x in z 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.309 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.309 * [taylor]: Taking taylor expansion of z in z 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.310 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.310 * [taylor]: Taking taylor expansion of y in z 0.310 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.310 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.310 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.310 * [taylor]: Taking taylor expansion of x in y 0.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.310 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.310 * [taylor]: Taking taylor expansion of z in y 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.311 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.311 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.311 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.311 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.312 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.312 * [taylor]: Taking taylor expansion of z in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.312 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.312 * [taylor]: Taking taylor expansion of y in x 0.312 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.312 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.312 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.313 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.313 * [taylor]: Taking taylor expansion of z in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.313 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.313 * [taylor]: Taking taylor expansion of y in x 0.314 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.315 * [taylor]: Taking taylor expansion of 0 in y 0.317 * [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 0.330 * [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 0.331 * [taylor]: Taking taylor expansion of 0 in z 0.331 * [taylor]: Taking taylor expansion of 0 in z 0.332 * * * [progress]: simplifying candidates 0.333 * [simplify]: Simplifying using # : (expm1 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (log1p (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (log (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (exp (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (* (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))) (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (* (* (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (* (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))) (sqrt (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0))) (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) 1)) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0))) (sqrt (/ 1 (sqrt 3.0))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0))) (sqrt (/ 1 1)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt 1) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0) (/ 1 2) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (expm1 (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (log1p (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (- (log (+ (+ (* x x) (* y y)) (* z z))) (log 3.0)) (log (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (exp (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (/ (* (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z))) (* (* 3.0 3.0) 3.0)) (* (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (* (* (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (- (+ (+ (* x x) (* y y)) (* z z))) (- 3.0) (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)) (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) 3.0) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0)) (/ 1 1) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) (/ 1 3.0) (/ 3.0 (+ (+ (* x x) (* y y)) (* z z))) (/ (+ (+ (* x x) (* y y)) (* z z)) (* (cbrt 3.0) (cbrt 3.0))) (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0)) (/ (+ (+ (* x x) (* y y)) (* z z)) 1) (/ 3.0 (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (/ 3.0 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ 3.0 (+ (+ (* x x) (* y y)) (* z z))) (* 3.0 (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (* 3.0 (- (+ (* x x) (* y y)) (* z z))) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2)))) (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2)))) (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2)))) 0.339 * * [simplify]: iteration 0 : 223 enodes (cost 655 ) 0.344 * * [simplify]: iteration 1 : 877 enodes (cost 586 ) 0.362 * * [simplify]: iteration 2 : 3651 enodes (cost 577 ) 0.446 * * [simplify]: iteration 3 : 5001 enodes (cost 577 ) 0.450 * [simplify]: Simplified to: (expm1 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (log1p (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (log (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (exp (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (* (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))) (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (pow (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) 3) (fabs (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (fabs (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0))) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0))) (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0))) (sqrt (/ 1 (sqrt 3.0))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0))) 1 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) 1 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0) 1/2 (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (expm1 (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (log1p (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (- (log (fma z z (fma x x (* y y)))) (log 3.0)) (- (log (fma z z (fma x x (* y y)))) (log 3.0)) (exp (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (/ (/ (pow (fma z z (fma x x (* y y))) 3) 3.0) (* 3.0 3.0)) (* (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (/ (/ (pow (fma z z (fma x x (* y y))) 3) 3.0) (* 3.0 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (- (fma z z (fma x x (* y y)))) (- 3.0) (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)) (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) 3.0) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (fma z z (fma x x (* y y))) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (fma z z (fma x x (* y y))) (sqrt 3.0)) 1 (/ (fma z z (fma x x (* y y))) 3.0) (/ 1 3.0) (/ 3.0 (fma z z (fma x x (* y y)))) (/ (/ (fma z z (fma x x (* y y))) (cbrt 3.0)) (cbrt 3.0)) (/ (fma z z (fma x x (* y y))) (sqrt 3.0)) (fma z z (fma x x (* y y))) (/ 3.0 (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (/ 3.0 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ 3.0 (fma z z (fma x x (* y y)))) (fma (* 3.0 (fma x x (* y y))) (fma x x (* y y)) (* (* 3.0 (pow z 2)) (- (pow z 2) (fma x x (* y y))))) (* 3.0 (- (+ (* x x) (* y y)) (* z z))) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) (* 0.3333333333333333 (fma z z (fma x x (* y y)))) (* 0.3333333333333333 (fma z z (fma x x (* y y)))) (* 0.3333333333333333 (fma z z (fma x x (* y y)))) 0.451 * * * [progress]: adding candidates to table 0.677 * * [progress]: iteration 2 / 4 0.677 * * * [progress]: picking best candidate 0.692 * * * * [pick]: Picked # 0.692 * * * [progress]: localizing error 0.705 * * * [progress]: generating rewritten candidates 0.705 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.721 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.772 * * * [progress]: generating series expansions 0.772 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.772 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.772 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.772 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.772 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.772 * [taylor]: Taking taylor expansion of x in z 0.772 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.772 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.772 * [taylor]: Taking taylor expansion of y in z 0.772 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.772 * [taylor]: Taking taylor expansion of z in z 0.774 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.774 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.774 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.774 * [taylor]: Taking taylor expansion of x in y 0.774 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.774 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.774 * [taylor]: Taking taylor expansion of y in y 0.774 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.774 * [taylor]: Taking taylor expansion of z in y 0.775 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.775 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.775 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.775 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.775 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.775 * [taylor]: Taking taylor expansion of y in x 0.775 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.775 * [taylor]: Taking taylor expansion of z in x 0.777 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.777 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.777 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.777 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.777 * [taylor]: Taking taylor expansion of y in x 0.777 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.777 * [taylor]: Taking taylor expansion of z in x 0.778 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.778 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.778 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.778 * [taylor]: Taking taylor expansion of y in y 0.778 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.778 * [taylor]: Taking taylor expansion of z in y 0.779 * [taylor]: Taking taylor expansion of z in z 0.779 * [taylor]: Taking taylor expansion of 0 in y 0.779 * [taylor]: Taking taylor expansion of 0 in z 0.779 * [taylor]: Taking taylor expansion of 0 in z 0.781 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.781 * [taylor]: Taking taylor expansion of 1/2 in y 0.781 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.781 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.781 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.781 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.781 * [taylor]: Taking taylor expansion of y in y 0.781 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.781 * [taylor]: Taking taylor expansion of z in y 0.782 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.782 * [taylor]: Taking taylor expansion of 1/2 in z 0.782 * [taylor]: Taking taylor expansion of z in z 0.783 * [taylor]: Taking taylor expansion of 0 in z 0.785 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.785 * [taylor]: Taking taylor expansion of 1/2 in z 0.785 * [taylor]: Taking taylor expansion of z in z 0.786 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.786 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.786 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.786 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.786 * [taylor]: Taking taylor expansion of x in z 0.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.786 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.786 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.786 * [taylor]: Taking taylor expansion of z in z 0.787 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.787 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.787 * [taylor]: Taking taylor expansion of y in z 0.790 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.790 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.790 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.790 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.790 * [taylor]: Taking taylor expansion of x in y 0.790 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.790 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.790 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.790 * [taylor]: Taking taylor expansion of z in y 0.790 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.790 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.790 * [taylor]: Taking taylor expansion of y in y 0.793 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.793 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.793 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.793 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.793 * [taylor]: Taking taylor expansion of x in x 0.794 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.794 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.794 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.794 * [taylor]: Taking taylor expansion of z in x 0.794 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.794 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.794 * [taylor]: Taking taylor expansion of y in x 0.796 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.796 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.797 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.797 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.797 * [taylor]: Taking taylor expansion of x in x 0.797 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.797 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.797 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.797 * [taylor]: Taking taylor expansion of z in x 0.797 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.797 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.797 * [taylor]: Taking taylor expansion of y in x 0.800 * [taylor]: Taking taylor expansion of 1 in y 0.800 * [taylor]: Taking taylor expansion of 0 in y 0.800 * [taylor]: Taking taylor expansion of 1 in z 0.802 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.802 * [taylor]: Taking taylor expansion of 1/2 in y 0.802 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.802 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.802 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.802 * [taylor]: Taking taylor expansion of z in y 0.803 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.803 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.803 * [taylor]: Taking taylor expansion of y in y 0.805 * [taylor]: Taking taylor expansion of 0 in z 0.805 * [taylor]: Taking taylor expansion of 0 in z 0.805 * [taylor]: Taking taylor expansion of 0 in z 0.808 * [taylor]: Taking taylor expansion of 0 in y 0.810 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.810 * [taylor]: Taking taylor expansion of 1/2 in z 0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.810 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.810 * [taylor]: Taking taylor expansion of z in z 0.812 * [taylor]: Taking taylor expansion of 0 in z 0.812 * [taylor]: Taking taylor expansion of 0 in z 0.815 * [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 0.816 * [taylor]: Taking taylor expansion of -1/2 in y 0.816 * [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 0.816 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.816 * [taylor]: Taking taylor expansion of 1/4 in y 0.816 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.816 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.816 * [taylor]: Taking taylor expansion of z in y 0.816 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.816 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.816 * [taylor]: Taking taylor expansion of 1/2 in y 0.816 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.816 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.816 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.816 * [taylor]: Taking taylor expansion of z in y 0.816 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.816 * [taylor]: Taking taylor expansion of y in y 0.817 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.817 * [taylor]: Taking taylor expansion of 1/4 in y 0.817 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.817 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.817 * [taylor]: Taking taylor expansion of y in y 0.827 * [taylor]: Taking taylor expansion of 0 in z 0.827 * [taylor]: Taking taylor expansion of 0 in z 0.829 * [taylor]: Taking taylor expansion of 0 in z 0.829 * [taylor]: Taking taylor expansion of 0 in z 0.829 * [taylor]: Taking taylor expansion of 0 in z 0.837 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.837 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.837 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.837 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.837 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.837 * [taylor]: Taking taylor expansion of x in z 0.838 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.838 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.838 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.838 * [taylor]: Taking taylor expansion of z in z 0.838 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.838 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.838 * [taylor]: Taking taylor expansion of y in z 0.841 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.841 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.841 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.841 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.841 * [taylor]: Taking taylor expansion of x in y 0.841 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.841 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.841 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.841 * [taylor]: Taking taylor expansion of z in y 0.841 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.841 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.841 * [taylor]: Taking taylor expansion of y in y 0.844 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.844 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.844 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.844 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.844 * [taylor]: Taking taylor expansion of x in x 0.845 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.845 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.845 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.845 * [taylor]: Taking taylor expansion of z in x 0.845 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.845 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.845 * [taylor]: Taking taylor expansion of y in x 0.847 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.847 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.847 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.847 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.847 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.848 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.848 * [taylor]: Taking taylor expansion of z in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.848 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.848 * [taylor]: Taking taylor expansion of y in x 0.850 * [taylor]: Taking taylor expansion of 1 in y 0.850 * [taylor]: Taking taylor expansion of 0 in y 0.850 * [taylor]: Taking taylor expansion of 1 in z 0.853 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.853 * [taylor]: Taking taylor expansion of 1/2 in y 0.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.853 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.853 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.853 * [taylor]: Taking taylor expansion of z in y 0.853 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.853 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.853 * [taylor]: Taking taylor expansion of y in y 0.855 * [taylor]: Taking taylor expansion of 0 in z 0.855 * [taylor]: Taking taylor expansion of 0 in z 0.855 * [taylor]: Taking taylor expansion of 0 in z 0.858 * [taylor]: Taking taylor expansion of 0 in y 0.860 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.860 * [taylor]: Taking taylor expansion of 1/2 in z 0.860 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.860 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.860 * [taylor]: Taking taylor expansion of z in z 0.862 * [taylor]: Taking taylor expansion of 0 in z 0.862 * [taylor]: Taking taylor expansion of 0 in z 0.866 * [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 0.866 * [taylor]: Taking taylor expansion of -1/2 in y 0.866 * [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 0.866 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.866 * [taylor]: Taking taylor expansion of 1/4 in y 0.866 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.866 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.866 * [taylor]: Taking taylor expansion of z in y 0.866 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.866 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.866 * [taylor]: Taking taylor expansion of 1/2 in y 0.867 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.867 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.867 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.867 * [taylor]: Taking taylor expansion of z in y 0.867 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.867 * [taylor]: Taking taylor expansion of y in y 0.867 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.867 * [taylor]: Taking taylor expansion of 1/4 in y 0.867 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.867 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.867 * [taylor]: Taking taylor expansion of y in y 0.878 * [taylor]: Taking taylor expansion of 0 in z 0.878 * [taylor]: Taking taylor expansion of 0 in z 0.881 * [taylor]: Taking taylor expansion of 0 in z 0.881 * [taylor]: Taking taylor expansion of 0 in z 0.881 * [taylor]: Taking taylor expansion of 0 in z 0.882 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.883 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in (x y z) around 0 0.883 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z 0.883 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.883 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.883 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.883 * [taylor]: Taking taylor expansion of x in z 0.883 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.883 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.883 * [taylor]: Taking taylor expansion of y in z 0.884 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.884 * [taylor]: Taking taylor expansion of z in z 0.885 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.885 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.886 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 0.886 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.886 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.886 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.886 * [taylor]: Taking taylor expansion of x in y 0.886 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.886 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.886 * [taylor]: Taking taylor expansion of y in y 0.886 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.886 * [taylor]: Taking taylor expansion of z in y 0.887 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.887 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.888 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x 0.888 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.888 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 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 (+ (pow y 2) (pow z 2)) in x 0.888 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.888 * [taylor]: Taking taylor expansion of y 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 (sqrt 0.3333333333333333) in x 0.890 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.890 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x 0.890 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.890 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.890 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.890 * [taylor]: Taking taylor expansion of x in x 0.890 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.891 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.891 * [taylor]: Taking taylor expansion of y in x 0.891 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.891 * [taylor]: Taking taylor expansion of z in x 0.892 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.892 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.893 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y 0.893 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.893 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.893 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.893 * [taylor]: Taking taylor expansion of y in y 0.893 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.893 * [taylor]: Taking taylor expansion of z in y 0.894 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.894 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.895 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z 0.895 * [taylor]: Taking taylor expansion of z in z 0.895 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.895 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.897 * [taylor]: Taking taylor expansion of 0 in y 0.897 * [taylor]: Taking taylor expansion of 0 in z 0.897 * [taylor]: Taking taylor expansion of 0 in z 0.903 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y 0.903 * [taylor]: Taking taylor expansion of 1/2 in y 0.903 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 0.903 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.903 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.903 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.903 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.903 * [taylor]: Taking taylor expansion of y in y 0.903 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.903 * [taylor]: Taking taylor expansion of z in y 0.904 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.904 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.905 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 0.905 * [taylor]: Taking taylor expansion of 1/2 in z 0.905 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 0.905 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.905 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.906 * [taylor]: Taking taylor expansion of z in z 0.908 * [taylor]: Taking taylor expansion of 0 in z 0.911 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 0.911 * [taylor]: Taking taylor expansion of 1/2 in z 0.911 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 0.911 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.911 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.912 * [taylor]: Taking taylor expansion of z in z 0.916 * [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 0.916 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.916 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.916 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.916 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.916 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.916 * [taylor]: Taking taylor expansion of x in z 0.916 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.916 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.916 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.916 * [taylor]: Taking taylor expansion of z in z 0.917 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.917 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.917 * [taylor]: Taking taylor expansion of y in z 0.920 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.920 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.920 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 0.920 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.920 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.920 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.921 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.921 * [taylor]: Taking taylor expansion of x in y 0.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.921 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.921 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.921 * [taylor]: Taking taylor expansion of z in y 0.921 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.921 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.921 * [taylor]: Taking taylor expansion of y in y 0.924 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.924 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.925 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.925 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.925 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.925 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.925 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.925 * [taylor]: Taking taylor expansion of z in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.925 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.926 * [taylor]: Taking taylor expansion of y in x 0.928 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.928 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.929 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.929 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.929 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.929 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.929 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.929 * [taylor]: Taking taylor expansion of x in x 0.929 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.929 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.929 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.929 * [taylor]: Taking taylor expansion of z in x 0.936 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.936 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.936 * [taylor]: Taking taylor expansion of y in x 0.938 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.938 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.940 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.940 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.941 * [taylor]: Taking taylor expansion of 0 in y 0.941 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.941 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.946 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 0.946 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 0.946 * [taylor]: Taking taylor expansion of 1/2 in y 0.946 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 0.946 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.946 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.947 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.947 * [taylor]: Taking taylor expansion of z in y 0.947 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 0.947 * [taylor]: Taking taylor expansion of 1/2 in y 0.947 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 0.947 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.948 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.948 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.948 * [taylor]: Taking taylor expansion of y in y 0.951 * [taylor]: Taking taylor expansion of 0 in z 0.951 * [taylor]: Taking taylor expansion of 0 in z 0.951 * [taylor]: Taking taylor expansion of 0 in z 0.956 * [taylor]: Taking taylor expansion of 0 in y 0.960 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 0.960 * [taylor]: Taking taylor expansion of 1/2 in z 0.960 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 0.960 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.960 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.961 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.961 * [taylor]: Taking taylor expansion of z in z 0.963 * [taylor]: Taking taylor expansion of 0 in z 0.964 * [taylor]: Taking taylor expansion of 0 in z 0.971 * [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 0.971 * [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 0.971 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 0.971 * [taylor]: Taking taylor expansion of 1/8 in y 0.971 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 0.971 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.971 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.972 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.972 * [taylor]: Taking taylor expansion of z in y 0.973 * [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 0.973 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 0.973 * [taylor]: Taking taylor expansion of 1/4 in y 0.973 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 0.973 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.973 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.974 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.974 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.974 * [taylor]: Taking taylor expansion of z in y 0.974 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.974 * [taylor]: Taking taylor expansion of y in y 0.975 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 0.975 * [taylor]: Taking taylor expansion of 1/8 in y 0.975 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 0.975 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.975 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.975 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.975 * [taylor]: Taking taylor expansion of y in y 0.986 * [taylor]: Taking taylor expansion of 0 in z 0.986 * [taylor]: Taking taylor expansion of 0 in z 0.990 * [taylor]: Taking taylor expansion of 0 in z 0.990 * [taylor]: Taking taylor expansion of 0 in z 0.991 * [taylor]: Taking taylor expansion of 0 in z 0.995 * [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 0.995 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.995 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.995 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.995 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.995 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.995 * [taylor]: Taking taylor expansion of x in z 0.995 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.995 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.995 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.995 * [taylor]: Taking taylor expansion of z in z 0.996 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.996 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.996 * [taylor]: Taking taylor expansion of y in z 0.998 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.998 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.999 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 0.999 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.999 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.999 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.999 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.999 * [taylor]: Taking taylor expansion of x in y 0.999 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.999 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) 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 (/ 1 (pow y 2)) in y 1.000 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.000 * [taylor]: Taking taylor expansion of y in y 1.002 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.003 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.003 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 1.003 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.003 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.003 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.003 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.003 * [taylor]: Taking taylor expansion of x in x 1.004 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.004 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.004 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.004 * [taylor]: Taking taylor expansion of z in x 1.004 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.004 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.004 * [taylor]: Taking taylor expansion of y in x 1.006 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.006 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.007 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 1.007 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.007 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.007 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.007 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.008 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.008 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.008 * [taylor]: Taking taylor expansion of z in x 1.008 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.008 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.008 * [taylor]: Taking taylor expansion of y in x 1.010 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.010 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.012 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.012 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.013 * [taylor]: Taking taylor expansion of 0 in y 1.013 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.013 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.018 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 1.018 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 1.018 * [taylor]: Taking taylor expansion of 1/2 in y 1.018 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 1.018 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.018 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.019 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.019 * [taylor]: Taking taylor expansion of z in y 1.019 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 1.019 * [taylor]: Taking taylor expansion of 1/2 in y 1.019 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 1.019 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.019 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.020 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.020 * [taylor]: Taking taylor expansion of y in y 1.023 * [taylor]: Taking taylor expansion of 0 in z 1.023 * [taylor]: Taking taylor expansion of 0 in z 1.023 * [taylor]: Taking taylor expansion of 0 in z 1.034 * [taylor]: Taking taylor expansion of 0 in y 1.037 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 1.038 * [taylor]: Taking taylor expansion of 1/2 in z 1.038 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 1.038 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.038 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.038 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.038 * [taylor]: Taking taylor expansion of z in z 1.041 * [taylor]: Taking taylor expansion of 0 in z 1.041 * [taylor]: Taking taylor expansion of 0 in z 1.048 * [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 1.048 * [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 1.048 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 1.048 * [taylor]: Taking taylor expansion of 1/8 in y 1.048 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 1.048 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.048 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.049 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.049 * [taylor]: Taking taylor expansion of z in y 1.050 * [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 1.050 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 1.050 * [taylor]: Taking taylor expansion of 1/4 in y 1.050 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 1.050 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.050 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.051 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.051 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.051 * [taylor]: Taking taylor expansion of z in y 1.051 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.051 * [taylor]: Taking taylor expansion of y in y 1.051 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 1.052 * [taylor]: Taking taylor expansion of 1/8 in y 1.052 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 1.052 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.052 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.052 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.052 * [taylor]: Taking taylor expansion of y in y 1.063 * [taylor]: Taking taylor expansion of 0 in z 1.063 * [taylor]: Taking taylor expansion of 0 in z 1.067 * [taylor]: Taking taylor expansion of 0 in z 1.067 * [taylor]: Taking taylor expansion of 0 in z 1.068 * [taylor]: Taking taylor expansion of 0 in z 1.071 * * * [progress]: simplifying candidates 1.072 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (expm1 (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (log1p (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (* (+ (+ (* x x) (* y y)) (* z z)) (/ 1 3.0)) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) (* (+ (+ (* x x) (* y y)) (* z z)) (/ 1 3.0)) (+ (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt (/ 1 3.0)))) (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (exp (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (* (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* (sqrt (/ 1 3.0)) (sqrt (/ 1 3.0))) (sqrt (/ 1 3.0)))) (* (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))) (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (* (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (* (+ (+ (* x x) (* y y)) (* z z)) (/ 1 3.0)) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt 1)) (* (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt 3.0)) (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt 1)) (* (sqrt (- (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (sqrt (/ 1 3.0))) (cbrt (sqrt (/ 1 3.0))))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (* (cbrt (/ 1 3.0)) (cbrt (/ 1 3.0))))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 3.0) (cbrt 3.0))))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (sqrt 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (* (cbrt 1) (cbrt 1)) 1))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (sqrt 1) (* (cbrt 3.0) (cbrt 3.0))))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (sqrt 1) 1))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0))))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 1))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1)) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1)) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0))) (* (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1)) (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (/ 1 3.0))) (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (/ 1 3.0))) z x (* -1 x) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) 1.078 * * [simplify]: iteration 0 : 243 enodes (cost 819 ) 1.084 * * [simplify]: iteration 1 : 804 enodes (cost 784 ) 1.102 * * [simplify]: iteration 2 : 2795 enodes (cost 760 ) 1.153 * * [simplify]: iteration 3 : 5002 enodes (cost 747 ) 1.156 * [simplify]: Simplified to: (expm1 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (hypot (pow z 3) (pow (fma x x (* y y)) 3/2)) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z))) 1/2 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (expm1 (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (log1p (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (/ (fma z z (fma x x (* y y))) 3.0) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) (/ (fma z z (fma x x (* y y))) 3.0) (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (exp (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (pow (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) 3) (* (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))) (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (pow (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) 3) (/ (fma z z (fma x x (* y y))) 3.0) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (hypot (pow z 3) (pow (fma x x (* y y)) 3/2)) (* (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt 3.0)) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (* (sqrt (- (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (sqrt (/ 1 3.0))) (cbrt (sqrt (/ 1 3.0))))) (* (fabs (cbrt (/ 1 3.0))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt (/ 1 3.0)))) (* (fabs (/ 1 (cbrt 3.0))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 (sqrt 3.0)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (fabs (/ 1 (cbrt 3.0))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 (sqrt 3.0)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (fabs (/ 1 (cbrt 3.0))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 (sqrt 3.0)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt (/ 1 3.0)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0))) (* (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (/ 1 3.0))) (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (/ 1 3.0))) z x (* -1 x) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) 1.157 * * * [progress]: adding candidates to table 1.358 * * [progress]: iteration 3 / 4 1.358 * * * [progress]: picking best candidate 1.368 * * * * [pick]: Picked # 1.368 * * * [progress]: localizing error 1.380 * * * [progress]: generating rewritten candidates 1.380 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 1.383 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.401 * * * [progress]: generating series expansions 1.401 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 1.402 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.402 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.402 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.402 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.402 * [taylor]: Taking taylor expansion of x in y 1.402 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.402 * [taylor]: Taking taylor expansion of y in y 1.403 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.403 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.403 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.403 * [taylor]: Taking taylor expansion of x in x 1.403 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.403 * [taylor]: Taking taylor expansion of y in x 1.404 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.404 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.404 * [taylor]: Taking taylor expansion of x in x 1.404 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.404 * [taylor]: Taking taylor expansion of y in x 1.404 * [taylor]: Taking taylor expansion of y in y 1.405 * [taylor]: Taking taylor expansion of 0 in y 1.406 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.406 * [taylor]: Taking taylor expansion of 1/2 in y 1.406 * [taylor]: Taking taylor expansion of y in y 1.408 * [taylor]: Taking taylor expansion of 0 in y 1.409 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.409 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.409 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.409 * [taylor]: Taking taylor expansion of x in y 1.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.409 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.409 * [taylor]: Taking taylor expansion of y in y 1.412 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.412 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.412 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.412 * [taylor]: Taking taylor expansion of x in x 1.413 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.413 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.413 * [taylor]: Taking taylor expansion of y in x 1.415 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.415 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.415 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.415 * [taylor]: Taking taylor expansion of x in x 1.416 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.416 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.416 * [taylor]: Taking taylor expansion of y in x 1.418 * [taylor]: Taking taylor expansion of 1 in y 1.418 * [taylor]: Taking taylor expansion of 0 in y 1.420 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.420 * [taylor]: Taking taylor expansion of 1/2 in y 1.420 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.420 * [taylor]: Taking taylor expansion of y in y 1.424 * [taylor]: Taking taylor expansion of 0 in y 1.425 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.425 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.425 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.425 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.425 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.425 * [taylor]: Taking taylor expansion of x in y 1.425 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.425 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.426 * [taylor]: Taking taylor expansion of y in y 1.428 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.428 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.428 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.428 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.428 * [taylor]: Taking taylor expansion of x in x 1.429 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.429 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.429 * [taylor]: Taking taylor expansion of y in x 1.431 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.431 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.431 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.431 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.431 * [taylor]: Taking taylor expansion of x in x 1.432 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.432 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.432 * [taylor]: Taking taylor expansion of y in x 1.434 * [taylor]: Taking taylor expansion of 1 in y 1.434 * [taylor]: Taking taylor expansion of 0 in y 1.436 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.436 * [taylor]: Taking taylor expansion of 1/2 in y 1.436 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.436 * [taylor]: Taking taylor expansion of y in y 1.439 * [taylor]: Taking taylor expansion of 0 in y 1.441 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.442 * [approximate]: Taking taylor expansion of (* (hypot (sqrt (+ (pow x 2) (pow y 2))) z) (sqrt 0.3333333333333333)) in (x y z) around 0 1.442 * [taylor]: Taking taylor expansion of (* (hypot (sqrt (+ (pow x 2) (pow y 2))) z) (sqrt 0.3333333333333333)) in z 1.442 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in z 1.442 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 1.442 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in z 1.442 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in z 1.442 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 1.442 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 1.442 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.442 * [taylor]: Taking taylor expansion of x in z 1.442 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.442 * [taylor]: Taking taylor expansion of y in z 1.443 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 1.443 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 1.443 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.443 * [taylor]: Taking taylor expansion of x in z 1.443 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.443 * [taylor]: Taking taylor expansion of y in z 1.444 * [taylor]: Taking taylor expansion of (* z z) in z 1.444 * [taylor]: Taking taylor expansion of z in z 1.444 * [taylor]: Taking taylor expansion of z in z 1.446 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.446 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.447 * [taylor]: Taking taylor expansion of (* (hypot (sqrt (+ (pow x 2) (pow y 2))) z) (sqrt 0.3333333333333333)) in y 1.447 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in y 1.447 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 1.447 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in y 1.447 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in y 1.447 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.447 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.447 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.447 * [taylor]: Taking taylor expansion of x in y 1.447 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.447 * [taylor]: Taking taylor expansion of y in y 1.448 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.448 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.448 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.448 * [taylor]: Taking taylor expansion of x in y 1.448 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.448 * [taylor]: Taking taylor expansion of y in y 1.448 * [taylor]: Taking taylor expansion of (* z z) in y 1.448 * [taylor]: Taking taylor expansion of z in y 1.449 * [taylor]: Taking taylor expansion of z in y 1.449 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.449 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.450 * [taylor]: Taking taylor expansion of (* (hypot (sqrt (+ (pow x 2) (pow y 2))) z) (sqrt 0.3333333333333333)) in x 1.450 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 1.450 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 1.450 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 1.450 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 1.450 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.450 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.450 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.450 * [taylor]: Taking taylor expansion of x in x 1.450 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.451 * [taylor]: Taking taylor expansion of y in x 1.451 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.451 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.451 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.451 * [taylor]: Taking taylor expansion of x in x 1.451 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.451 * [taylor]: Taking taylor expansion of y in x 1.452 * [taylor]: Taking taylor expansion of (* z z) in x 1.452 * [taylor]: Taking taylor expansion of z in x 1.452 * [taylor]: Taking taylor expansion of z in x 1.453 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.453 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.454 * [taylor]: Taking taylor expansion of (* (hypot (sqrt (+ (pow x 2) (pow y 2))) z) (sqrt 0.3333333333333333)) in x 1.454 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 1.454 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 1.454 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 1.454 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 1.454 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.454 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.454 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.454 * [taylor]: Taking taylor expansion of x in x 1.454 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.454 * [taylor]: Taking taylor expansion of y in x 1.455 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.455 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.455 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.455 * [taylor]: Taking taylor expansion of x in x 1.455 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.455 * [taylor]: Taking taylor expansion of y in x 1.455 * [taylor]: Taking taylor expansion of (* z z) in x 1.455 * [taylor]: Taking taylor expansion of z in x 1.455 * [taylor]: Taking taylor expansion of z in x 1.456 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.456 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.457 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y 1.457 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 1.457 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.458 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.458 * [taylor]: Taking taylor expansion of y in y 1.458 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.458 * [taylor]: Taking taylor expansion of z in y 1.458 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.458 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.459 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z 1.459 * [taylor]: Taking taylor expansion of z in z 1.459 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.459 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.461 * [taylor]: Taking taylor expansion of 0 in y 1.461 * [taylor]: Taking taylor expansion of 0 in z 1.461 * [taylor]: Taking taylor expansion of 0 in z 1.469 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y 1.469 * [taylor]: Taking taylor expansion of 1/2 in y 1.469 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 1.469 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 1.469 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 1.469 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.469 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.469 * [taylor]: Taking taylor expansion of y in y 1.469 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.469 * [taylor]: Taking taylor expansion of z in y 1.470 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.470 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.471 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 1.471 * [taylor]: Taking taylor expansion of 1/2 in z 1.471 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 1.471 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.471 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.472 * [taylor]: Taking taylor expansion of z in z 1.474 * [taylor]: Taking taylor expansion of 0 in z 1.476 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 1.476 * [taylor]: Taking taylor expansion of 1/2 in z 1.476 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 1.477 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.477 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.477 * [taylor]: Taking taylor expansion of z in z 1.482 * [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 1.482 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z))) in z 1.482 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.482 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.482 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in z 1.483 * [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)))) 1.483 * [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 1.483 * [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 1.483 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 1.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 1.483 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.483 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.483 * [taylor]: Taking taylor expansion of x in z 1.483 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.483 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.483 * [taylor]: Taking taylor expansion of y in z 1.484 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 1.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 1.484 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.484 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.484 * [taylor]: Taking taylor expansion of x in z 1.484 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.484 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.484 * [taylor]: Taking taylor expansion of y in z 1.486 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 1.486 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.486 * [taylor]: Taking taylor expansion of z in z 1.486 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.486 * [taylor]: Taking taylor expansion of z in z 1.496 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z))) in y 1.496 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.496 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.497 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in y 1.497 * [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)))) 1.497 * [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 1.497 * [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 1.497 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.497 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.497 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.497 * [taylor]: Taking taylor expansion of x in y 1.498 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.498 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.498 * [taylor]: Taking taylor expansion of y in y 1.500 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.500 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.500 * [taylor]: Taking taylor expansion of x in y 1.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.500 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.500 * [taylor]: Taking taylor expansion of y in y 1.503 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 1.503 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.503 * [taylor]: Taking taylor expansion of z in y 1.503 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.503 * [taylor]: Taking taylor expansion of z in y 1.505 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z))) in x 1.505 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.505 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.506 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 1.506 * [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)))) 1.506 * [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 1.506 * [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 1.506 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.506 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.506 * [taylor]: Taking taylor expansion of x in x 1.507 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.507 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.507 * [taylor]: Taking taylor expansion of y in x 1.509 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.509 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.509 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.509 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.509 * [taylor]: Taking taylor expansion of x in x 1.509 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.509 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.509 * [taylor]: Taking taylor expansion of y in x 1.512 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.512 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.512 * [taylor]: Taking taylor expansion of z in x 1.512 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.512 * [taylor]: Taking taylor expansion of z in x 1.513 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z))) in x 1.514 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.514 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.514 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 1.514 * [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)))) 1.514 * [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 1.514 * [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 1.515 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.515 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.515 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.515 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.515 * [taylor]: Taking taylor expansion of x in x 1.515 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.515 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.516 * [taylor]: Taking taylor expansion of y in x 1.518 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.518 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.518 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.518 * [taylor]: Taking taylor expansion of x in x 1.518 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.518 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.518 * [taylor]: Taking taylor expansion of y in x 1.520 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.521 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.521 * [taylor]: Taking taylor expansion of z in x 1.521 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.521 * [taylor]: Taking taylor expansion of z in x 1.523 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.523 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.524 * [taylor]: Taking taylor expansion of 0 in y 1.524 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.524 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.532 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 1.533 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 1.533 * [taylor]: Taking taylor expansion of 1/2 in y 1.533 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 1.533 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.533 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.533 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.533 * [taylor]: Taking taylor expansion of z in y 1.534 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 1.534 * [taylor]: Taking taylor expansion of 1/2 in y 1.534 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 1.534 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.534 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.535 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.535 * [taylor]: Taking taylor expansion of y in y 1.537 * [taylor]: Taking taylor expansion of 0 in z 1.537 * [taylor]: Taking taylor expansion of 0 in z 1.537 * [taylor]: Taking taylor expansion of 0 in z 1.545 * [taylor]: Taking taylor expansion of 0 in y 1.548 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 1.548 * [taylor]: Taking taylor expansion of 1/2 in z 1.548 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 1.549 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.549 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.549 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.549 * [taylor]: Taking taylor expansion of z in z 1.552 * [taylor]: Taking taylor expansion of 0 in z 1.552 * [taylor]: Taking taylor expansion of 0 in z 1.564 * [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 1.564 * [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 1.564 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 1.564 * [taylor]: Taking taylor expansion of 1/8 in y 1.564 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 1.564 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.564 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.565 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.565 * [taylor]: Taking taylor expansion of z in y 1.566 * [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 1.566 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 1.566 * [taylor]: Taking taylor expansion of 1/4 in y 1.566 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 1.566 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.566 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.566 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.566 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.567 * [taylor]: Taking taylor expansion of z in y 1.567 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.567 * [taylor]: Taking taylor expansion of y in y 1.567 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 1.567 * [taylor]: Taking taylor expansion of 1/8 in y 1.567 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 1.567 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.567 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.568 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.568 * [taylor]: Taking taylor expansion of y in y 1.578 * [taylor]: Taking taylor expansion of 0 in z 1.578 * [taylor]: Taking taylor expansion of 0 in z 1.582 * [taylor]: Taking taylor expansion of 0 in z 1.582 * [taylor]: Taking taylor expansion of 0 in z 1.583 * [taylor]: Taking taylor expansion of 0 in z 1.594 * [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 1.594 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z))) in z 1.594 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.594 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.595 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in z 1.595 * [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)))) 1.595 * [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 1.595 * [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 1.595 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 1.595 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 1.595 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.595 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.595 * [taylor]: Taking taylor expansion of x in z 1.595 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.595 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.595 * [taylor]: Taking taylor expansion of y in z 1.597 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 1.597 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 1.597 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.597 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.597 * [taylor]: Taking taylor expansion of x in z 1.597 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.597 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.597 * [taylor]: Taking taylor expansion of y in z 1.598 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 1.598 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.598 * [taylor]: Taking taylor expansion of -1 in z 1.598 * [taylor]: Taking taylor expansion of z in z 1.598 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.598 * [taylor]: Taking taylor expansion of -1 in z 1.598 * [taylor]: Taking taylor expansion of z in z 1.601 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z))) in y 1.601 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.601 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.602 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in y 1.602 * [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)))) 1.602 * [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 1.602 * [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 1.602 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.602 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.602 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.602 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.602 * [taylor]: Taking taylor expansion of x in y 1.603 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.603 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.603 * [taylor]: Taking taylor expansion of y in y 1.605 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.605 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.605 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.605 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.605 * [taylor]: Taking taylor expansion of x in y 1.605 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.605 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.605 * [taylor]: Taking taylor expansion of y in y 1.608 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 1.608 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.608 * [taylor]: Taking taylor expansion of -1 in y 1.608 * [taylor]: Taking taylor expansion of z in y 1.608 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.608 * [taylor]: Taking taylor expansion of -1 in y 1.608 * [taylor]: Taking taylor expansion of z in y 1.610 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z))) in x 1.610 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.610 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.611 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 1.611 * [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)))) 1.611 * [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 1.611 * [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 1.611 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.611 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.611 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.611 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.611 * [taylor]: Taking taylor expansion of x in x 1.611 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.612 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.612 * [taylor]: Taking taylor expansion of y in x 1.614 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.614 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.614 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.614 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.614 * [taylor]: Taking taylor expansion of x in x 1.614 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.614 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.614 * [taylor]: Taking taylor expansion of y in x 1.617 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 1.617 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.617 * [taylor]: Taking taylor expansion of -1 in x 1.617 * [taylor]: Taking taylor expansion of z in x 1.617 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.617 * [taylor]: Taking taylor expansion of -1 in x 1.617 * [taylor]: Taking taylor expansion of z in x 1.619 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z))) in x 1.619 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.619 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.620 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 1.620 * [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)))) 1.620 * [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 1.620 * [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 1.620 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.620 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.620 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.620 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.620 * [taylor]: Taking taylor expansion of x in x 1.620 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.620 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.620 * [taylor]: Taking taylor expansion of y in x 1.623 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.623 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.623 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.623 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.623 * [taylor]: Taking taylor expansion of x in x 1.623 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.623 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.623 * [taylor]: Taking taylor expansion of y in x 1.625 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 1.625 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.625 * [taylor]: Taking taylor expansion of -1 in x 1.625 * [taylor]: Taking taylor expansion of z in x 1.626 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.626 * [taylor]: Taking taylor expansion of -1 in x 1.626 * [taylor]: Taking taylor expansion of z in x 1.628 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.628 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.629 * [taylor]: Taking taylor expansion of 0 in y 1.629 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.629 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.637 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 1.637 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 1.637 * [taylor]: Taking taylor expansion of 1/2 in y 1.637 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 1.637 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.637 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.638 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.638 * [taylor]: Taking taylor expansion of z in y 1.638 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 1.638 * [taylor]: Taking taylor expansion of 1/2 in y 1.638 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 1.638 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.638 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.639 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.639 * [taylor]: Taking taylor expansion of y in y 1.641 * [taylor]: Taking taylor expansion of 0 in z 1.641 * [taylor]: Taking taylor expansion of 0 in z 1.641 * [taylor]: Taking taylor expansion of 0 in z 1.649 * [taylor]: Taking taylor expansion of 0 in y 1.652 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 1.652 * [taylor]: Taking taylor expansion of 1/2 in z 1.652 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 1.652 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.652 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.653 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.653 * [taylor]: Taking taylor expansion of z in z 1.655 * [taylor]: Taking taylor expansion of 0 in z 1.656 * [taylor]: Taking taylor expansion of 0 in z 1.668 * [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 1.668 * [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 1.668 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 1.668 * [taylor]: Taking taylor expansion of 1/8 in y 1.668 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 1.668 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.668 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.669 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.669 * [taylor]: Taking taylor expansion of z in y 1.669 * [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 1.669 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 1.669 * [taylor]: Taking taylor expansion of 1/4 in y 1.670 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 1.670 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.670 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.670 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.670 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.670 * [taylor]: Taking taylor expansion of z in y 1.670 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.670 * [taylor]: Taking taylor expansion of y in y 1.671 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 1.671 * [taylor]: Taking taylor expansion of 1/8 in y 1.671 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 1.671 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.671 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.672 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.672 * [taylor]: Taking taylor expansion of y in y 1.690 * [taylor]: Taking taylor expansion of 0 in z 1.691 * [taylor]: Taking taylor expansion of 0 in z 1.695 * [taylor]: Taking taylor expansion of 0 in z 1.695 * [taylor]: Taking taylor expansion of 0 in z 1.696 * [taylor]: Taking taylor expansion of 0 in z 1.699 * * * [progress]: simplifying candidates 1.700 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* x x) (* y y)))) (log1p (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (expm1 (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (log1p (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))) (+ (log (hypot (sqrt (+ (* x x) (* y y))) z)) (log (sqrt (/ 1 3.0)))) (log (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (exp (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (* (* (* (hypot (sqrt (+ (* x x) (* y y))) z) (hypot (sqrt (+ (* x x) (* y y))) z)) (hypot (sqrt (+ (* x x) (* y y))) z)) (* (* (sqrt (/ 1 3.0)) (sqrt (/ 1 3.0))) (sqrt (/ 1 3.0)))) (* (cbrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (cbrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))))) (cbrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (* (* (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (* (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* z z)) (/ 1 3.0)) (sqrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (sqrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt (/ 1 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (* (cbrt (sqrt (/ 1 3.0))) (cbrt (sqrt (/ 1 3.0))))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (* (cbrt (/ 1 3.0)) (cbrt (/ 1 3.0))))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (sqrt (/ 1 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 3.0) (cbrt 3.0))))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ (* (cbrt 1) (cbrt 1)) (sqrt 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ (* (cbrt 1) (cbrt 1)) 1))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ (sqrt 1) (* (cbrt 3.0) (cbrt 3.0))))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ (sqrt 1) 1))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0))))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 (sqrt 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 1))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 1)) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 1)) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (sqrt (/ 1 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) 1) (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 3.0))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 3.0))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 1)) y x (* -1 x) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) 1.705 * * [simplify]: iteration 0 : 244 enodes (cost 528 ) 1.711 * * [simplify]: iteration 1 : 742 enodes (cost 488 ) 1.727 * * [simplify]: iteration 2 : 1936 enodes (cost 471 ) 1.759 * * [simplify]: iteration 3 : 4655 enodes (cost 460 ) 1.835 * * [simplify]: iteration 4 : 5001 enodes (cost 460 ) 1.837 * [simplify]: Simplified to: (expm1 (sqrt (+ (* x x) (* y y)))) (log1p (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (hypot x y) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (hypot x y) (hypot (pow y 3) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (expm1 (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (log1p (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))) (log (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (log (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (exp (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (pow (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))) 3) (* (cbrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (cbrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))))) (cbrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (pow (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))) 3) (/ (fma z z (fma x x (* y y))) 3.0) (sqrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (sqrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt (/ 1 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (* (cbrt (sqrt (/ 1 3.0))) (cbrt (sqrt (/ 1 3.0))))) (* (fabs (cbrt (/ 1 3.0))) (hypot (sqrt (+ (* x x) (* y y))) z)) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (sqrt (/ 1 3.0)))) (* (fabs (/ 1 (cbrt 3.0))) (hypot (sqrt (+ (* x x) (* y y))) z)) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 (sqrt 3.0)))) (hypot (sqrt (+ (* x x) (* y y))) z) (* (fabs (/ 1 (cbrt 3.0))) (hypot (sqrt (+ (* x x) (* y y))) z)) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 (sqrt 3.0)))) (hypot (sqrt (+ (* x x) (* y y))) z) (* (fabs (/ 1 (cbrt 3.0))) (hypot (sqrt (+ (* x x) (* y y))) z)) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 (sqrt 3.0)))) (hypot (sqrt (+ (* x x) (* y y))) z) (hypot (sqrt (+ (* x x) (* y y))) z) (hypot (sqrt (+ (* x x) (* y y))) z) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (sqrt (/ 1 3.0)))) (hypot (sqrt (+ (* x x) (* y y))) z) (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 3.0))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 3.0))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))) (hypot (sqrt (+ (* x x) (* y y))) z) y x (* -1 x) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) 1.838 * * * [progress]: adding candidates to table 2.035 * * [progress]: iteration 4 / 4 2.035 * * * [progress]: picking best candidate 2.041 * * * * [pick]: Picked # 2.041 * * * [progress]: localizing error 2.050 * * * [progress]: generating rewritten candidates 2.050 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.062 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 2.064 * * * [progress]: generating series expansions 2.064 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.066 * [approximate]: Taking taylor expansion of (* (hypot (hypot x y) z) (sqrt 0.3333333333333333)) in (x y z) around 0 2.066 * [taylor]: Taking taylor expansion of (* (hypot (hypot x y) z) (sqrt 0.3333333333333333)) in z 2.066 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in z 2.066 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 2.066 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in z 2.066 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z 2.066 * [taylor]: Taking taylor expansion of (hypot x y) in z 2.066 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.066 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 2.066 * [taylor]: Taking taylor expansion of (* x x) in z 2.066 * [taylor]: Taking taylor expansion of x in z 2.066 * [taylor]: Taking taylor expansion of x in z 2.066 * [taylor]: Taking taylor expansion of (* y y) in z 2.066 * [taylor]: Taking taylor expansion of y in z 2.066 * [taylor]: Taking taylor expansion of y in z 2.068 * [taylor]: Taking taylor expansion of (hypot x y) in z 2.068 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.068 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 2.068 * [taylor]: Taking taylor expansion of (* x x) in z 2.068 * [taylor]: Taking taylor expansion of x in z 2.068 * [taylor]: Taking taylor expansion of x in z 2.068 * [taylor]: Taking taylor expansion of (* y y) in z 2.068 * [taylor]: Taking taylor expansion of y in z 2.068 * [taylor]: Taking taylor expansion of y in z 2.069 * [taylor]: Taking taylor expansion of (* z z) in z 2.069 * [taylor]: Taking taylor expansion of z in z 2.069 * [taylor]: Taking taylor expansion of z in z 2.071 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.071 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.072 * [taylor]: Taking taylor expansion of (* (hypot (hypot x y) z) (sqrt 0.3333333333333333)) in y 2.072 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in y 2.072 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 2.072 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in y 2.072 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y 2.072 * [taylor]: Taking taylor expansion of (hypot x y) in y 2.073 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.073 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 2.073 * [taylor]: Taking taylor expansion of (* x x) in y 2.073 * [taylor]: Taking taylor expansion of x in y 2.073 * [taylor]: Taking taylor expansion of x in y 2.073 * [taylor]: Taking taylor expansion of (* y y) in y 2.073 * [taylor]: Taking taylor expansion of y in y 2.073 * [taylor]: Taking taylor expansion of y in y 2.074 * [taylor]: Taking taylor expansion of (hypot x y) in y 2.074 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.074 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 2.074 * [taylor]: Taking taylor expansion of (* x x) in y 2.074 * [taylor]: Taking taylor expansion of x in y 2.074 * [taylor]: Taking taylor expansion of x in y 2.074 * [taylor]: Taking taylor expansion of (* y y) in y 2.074 * [taylor]: Taking taylor expansion of y in y 2.074 * [taylor]: Taking taylor expansion of y in y 2.075 * [taylor]: Taking taylor expansion of (* z z) in y 2.075 * [taylor]: Taking taylor expansion of z in y 2.075 * [taylor]: Taking taylor expansion of z in y 2.076 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.076 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.077 * [taylor]: Taking taylor expansion of (* (hypot (hypot x y) z) (sqrt 0.3333333333333333)) in x 2.077 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 2.077 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 2.077 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 2.077 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 2.077 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.077 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.077 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.077 * [taylor]: Taking taylor expansion of (* x x) in x 2.077 * [taylor]: Taking taylor expansion of x in x 2.077 * [taylor]: Taking taylor expansion of x in x 2.077 * [taylor]: Taking taylor expansion of (* y y) in x 2.077 * [taylor]: Taking taylor expansion of y in x 2.077 * [taylor]: Taking taylor expansion of y in x 2.079 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.079 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.079 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.079 * [taylor]: Taking taylor expansion of (* x x) in x 2.079 * [taylor]: Taking taylor expansion of x in x 2.079 * [taylor]: Taking taylor expansion of x in x 2.079 * [taylor]: Taking taylor expansion of (* y y) in x 2.079 * [taylor]: Taking taylor expansion of y in x 2.079 * [taylor]: Taking taylor expansion of y in x 2.080 * [taylor]: Taking taylor expansion of (* z z) in x 2.080 * [taylor]: Taking taylor expansion of z in x 2.080 * [taylor]: Taking taylor expansion of z in x 2.081 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 2.081 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.082 * [taylor]: Taking taylor expansion of (* (hypot (hypot x y) z) (sqrt 0.3333333333333333)) in x 2.082 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 2.082 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 2.082 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 2.082 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 2.082 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.082 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.082 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.082 * [taylor]: Taking taylor expansion of (* x x) in x 2.082 * [taylor]: Taking taylor expansion of x in x 2.082 * [taylor]: Taking taylor expansion of x in x 2.082 * [taylor]: Taking taylor expansion of (* y y) in x 2.082 * [taylor]: Taking taylor expansion of y in x 2.082 * [taylor]: Taking taylor expansion of y in x 2.083 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.083 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.083 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.083 * [taylor]: Taking taylor expansion of (* x x) in x 2.083 * [taylor]: Taking taylor expansion of x in x 2.083 * [taylor]: Taking taylor expansion of x in x 2.083 * [taylor]: Taking taylor expansion of (* y y) in x 2.083 * [taylor]: Taking taylor expansion of y in x 2.083 * [taylor]: Taking taylor expansion of y in x 2.084 * [taylor]: Taking taylor expansion of (* z z) in x 2.085 * [taylor]: Taking taylor expansion of z in x 2.085 * [taylor]: Taking taylor expansion of z in x 2.085 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 2.085 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.087 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y 2.087 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 2.087 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 2.087 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.087 * [taylor]: Taking taylor expansion of y in y 2.087 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.087 * [taylor]: Taking taylor expansion of z in y 2.087 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.087 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.088 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z 2.088 * [taylor]: Taking taylor expansion of z in z 2.088 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.088 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.090 * [taylor]: Taking taylor expansion of 0 in y 2.090 * [taylor]: Taking taylor expansion of 0 in z 2.091 * [taylor]: Taking taylor expansion of 0 in z 2.098 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y 2.098 * [taylor]: Taking taylor expansion of 1/2 in y 2.098 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 2.098 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 2.098 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 2.098 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 2.098 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.098 * [taylor]: Taking taylor expansion of y in y 2.098 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.098 * [taylor]: Taking taylor expansion of z in y 2.099 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.099 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.100 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 2.100 * [taylor]: Taking taylor expansion of 1/2 in z 2.100 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 2.101 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.101 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.101 * [taylor]: Taking taylor expansion of z in z 2.103 * [taylor]: Taking taylor expansion of 0 in z 2.105 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 2.105 * [taylor]: Taking taylor expansion of 1/2 in z 2.105 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 2.105 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.105 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.106 * [taylor]: Taking taylor expansion of z in z 2.110 * [approximate]: Taking taylor expansion of (* (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) (sqrt 0.3333333333333333)) in (x y z) around 0 2.110 * [taylor]: Taking taylor expansion of (* (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) (sqrt 0.3333333333333333)) in z 2.110 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in z 2.110 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 2.110 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in z 2.110 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z 2.110 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 2.111 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.111 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 2.111 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 2.111 * [taylor]: Taking taylor expansion of (/ 1 x) in z 2.111 * [taylor]: Taking taylor expansion of x in z 2.111 * [taylor]: Taking taylor expansion of (/ 1 x) in z 2.111 * [taylor]: Taking taylor expansion of x in z 2.111 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 2.111 * [taylor]: Taking taylor expansion of (/ 1 y) in z 2.111 * [taylor]: Taking taylor expansion of y in z 2.111 * [taylor]: Taking taylor expansion of (/ 1 y) in z 2.111 * [taylor]: Taking taylor expansion of y in z 2.112 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 2.112 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.112 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 2.112 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 2.112 * [taylor]: Taking taylor expansion of (/ 1 x) in z 2.112 * [taylor]: Taking taylor expansion of x in z 2.112 * [taylor]: Taking taylor expansion of (/ 1 x) in z 2.112 * [taylor]: Taking taylor expansion of x in z 2.112 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 2.112 * [taylor]: Taking taylor expansion of (/ 1 y) in z 2.112 * [taylor]: Taking taylor expansion of y in z 2.112 * [taylor]: Taking taylor expansion of (/ 1 y) in z 2.112 * [taylor]: Taking taylor expansion of y in z 2.114 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 2.114 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.114 * [taylor]: Taking taylor expansion of z in z 2.114 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.114 * [taylor]: Taking taylor expansion of z in z 2.117 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.117 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.117 * [taylor]: Taking taylor expansion of (* (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) (sqrt 0.3333333333333333)) in y 2.118 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y 2.118 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 2.118 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y 2.118 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 2.118 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 2.118 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.118 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 2.118 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.118 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.118 * [taylor]: Taking taylor expansion of x in y 2.118 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.118 * [taylor]: Taking taylor expansion of x in y 2.118 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.118 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.118 * [taylor]: Taking taylor expansion of y in y 2.118 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.118 * [taylor]: Taking taylor expansion of y in y 2.121 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 2.121 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.121 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 2.121 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.121 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.121 * [taylor]: Taking taylor expansion of x in y 2.121 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.127 * [taylor]: Taking taylor expansion of x in y 2.127 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.127 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.127 * [taylor]: Taking taylor expansion of y in y 2.128 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.128 * [taylor]: Taking taylor expansion of y in y 2.130 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 2.131 * [taylor]: Taking taylor expansion of (/ 1 z) in y 2.131 * [taylor]: Taking taylor expansion of z in y 2.131 * [taylor]: Taking taylor expansion of (/ 1 z) in y 2.131 * [taylor]: Taking taylor expansion of z in y 2.132 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.132 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.133 * [taylor]: Taking taylor expansion of (* (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) (sqrt 0.3333333333333333)) in x 2.133 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 2.133 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 2.133 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 2.134 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 2.134 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.134 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.134 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.134 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.134 * [taylor]: Taking taylor expansion of x in x 2.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.134 * [taylor]: Taking taylor expansion of x in x 2.134 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.134 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.134 * [taylor]: Taking taylor expansion of y in x 2.134 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.134 * [taylor]: Taking taylor expansion of y in x 2.137 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.137 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.137 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.137 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.137 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.137 * [taylor]: Taking taylor expansion of x in x 2.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.138 * [taylor]: Taking taylor expansion of x in x 2.138 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.138 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.138 * [taylor]: Taking taylor expansion of y in x 2.138 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.138 * [taylor]: Taking taylor expansion of y in x 2.141 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 2.141 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.141 * [taylor]: Taking taylor expansion of z in x 2.141 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.141 * [taylor]: Taking taylor expansion of z in x 2.143 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 2.143 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.143 * [taylor]: Taking taylor expansion of (* (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) (sqrt 0.3333333333333333)) in x 2.143 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 2.144 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 2.144 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 2.144 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 2.144 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.144 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.144 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.144 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.144 * [taylor]: Taking taylor expansion of x in x 2.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.144 * [taylor]: Taking taylor expansion of x in x 2.144 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.144 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.144 * [taylor]: Taking taylor expansion of y in x 2.145 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.145 * [taylor]: Taking taylor expansion of y in x 2.147 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.148 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.148 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.148 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.148 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.148 * [taylor]: Taking taylor expansion of x in x 2.148 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.148 * [taylor]: Taking taylor expansion of x in x 2.148 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.148 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.148 * [taylor]: Taking taylor expansion of y in x 2.148 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.148 * [taylor]: Taking taylor expansion of y in x 2.151 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 2.152 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.152 * [taylor]: Taking taylor expansion of z in x 2.152 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.152 * [taylor]: Taking taylor expansion of z in x 2.153 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 2.153 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.155 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.155 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.156 * [taylor]: Taking taylor expansion of 0 in y 2.156 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.156 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.165 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 2.165 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 2.165 * [taylor]: Taking taylor expansion of 1/2 in y 2.165 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 2.165 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.165 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.166 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.166 * [taylor]: Taking taylor expansion of z in y 2.167 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 2.167 * [taylor]: Taking taylor expansion of 1/2 in y 2.167 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 2.167 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.167 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.167 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.167 * [taylor]: Taking taylor expansion of y in y 2.170 * [taylor]: Taking taylor expansion of 0 in z 2.170 * [taylor]: Taking taylor expansion of 0 in z 2.170 * [taylor]: Taking taylor expansion of 0 in z 2.178 * [taylor]: Taking taylor expansion of 0 in y 2.182 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 2.182 * [taylor]: Taking taylor expansion of 1/2 in z 2.182 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 2.182 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.182 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.182 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.182 * [taylor]: Taking taylor expansion of z in z 2.185 * [taylor]: Taking taylor expansion of 0 in z 2.185 * [taylor]: Taking taylor expansion of 0 in z 2.197 * [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 2.198 * [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 2.198 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 2.198 * [taylor]: Taking taylor expansion of 1/8 in y 2.198 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 2.198 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.198 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.198 * [taylor]: Taking taylor expansion of (pow z 4) in y 2.198 * [taylor]: Taking taylor expansion of z in y 2.199 * [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 2.199 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 2.199 * [taylor]: Taking taylor expansion of 1/4 in y 2.199 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 2.199 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.199 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.200 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 2.200 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.200 * [taylor]: Taking taylor expansion of z in y 2.200 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.200 * [taylor]: Taking taylor expansion of y in y 2.201 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 2.201 * [taylor]: Taking taylor expansion of 1/8 in y 2.201 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 2.201 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.201 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.201 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.202 * [taylor]: Taking taylor expansion of y in y 2.212 * [taylor]: Taking taylor expansion of 0 in z 2.212 * [taylor]: Taking taylor expansion of 0 in z 2.223 * [taylor]: Taking taylor expansion of 0 in z 2.223 * [taylor]: Taking taylor expansion of 0 in z 2.224 * [taylor]: Taking taylor expansion of 0 in z 2.227 * [approximate]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z))) in (x y z) around 0 2.227 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z))) in z 2.227 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.227 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.228 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in z 2.228 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.228 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in z 2.228 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z 2.228 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 2.228 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.228 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 2.229 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 2.229 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.229 * [taylor]: Taking taylor expansion of -1 in z 2.229 * [taylor]: Taking taylor expansion of x in z 2.229 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.229 * [taylor]: Taking taylor expansion of -1 in z 2.229 * [taylor]: Taking taylor expansion of x in z 2.229 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 2.229 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.229 * [taylor]: Taking taylor expansion of -1 in z 2.229 * [taylor]: Taking taylor expansion of y in z 2.229 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.229 * [taylor]: Taking taylor expansion of -1 in z 2.229 * [taylor]: Taking taylor expansion of y in z 2.230 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 2.230 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.230 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 2.230 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 2.230 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.230 * [taylor]: Taking taylor expansion of -1 in z 2.230 * [taylor]: Taking taylor expansion of x in z 2.230 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.230 * [taylor]: Taking taylor expansion of -1 in z 2.230 * [taylor]: Taking taylor expansion of x in z 2.231 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 2.231 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.231 * [taylor]: Taking taylor expansion of -1 in z 2.231 * [taylor]: Taking taylor expansion of y in z 2.231 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.231 * [taylor]: Taking taylor expansion of -1 in z 2.231 * [taylor]: Taking taylor expansion of y in z 2.232 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 2.232 * [taylor]: Taking taylor expansion of (/ -1 z) in z 2.232 * [taylor]: Taking taylor expansion of -1 in z 2.232 * [taylor]: Taking taylor expansion of z in z 2.232 * [taylor]: Taking taylor expansion of (/ -1 z) in z 2.232 * [taylor]: Taking taylor expansion of -1 in z 2.233 * [taylor]: Taking taylor expansion of z in z 2.235 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z))) in y 2.235 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.235 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.236 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y 2.236 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.236 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y 2.236 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y 2.236 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 2.237 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.237 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 2.237 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.237 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.237 * [taylor]: Taking taylor expansion of -1 in y 2.237 * [taylor]: Taking taylor expansion of x in y 2.237 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.237 * [taylor]: Taking taylor expansion of -1 in y 2.237 * [taylor]: Taking taylor expansion of x in y 2.237 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.237 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.237 * [taylor]: Taking taylor expansion of -1 in y 2.237 * [taylor]: Taking taylor expansion of y in y 2.237 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.237 * [taylor]: Taking taylor expansion of -1 in y 2.237 * [taylor]: Taking taylor expansion of y in y 2.240 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 2.240 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.240 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 2.240 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.240 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.240 * [taylor]: Taking taylor expansion of -1 in y 2.240 * [taylor]: Taking taylor expansion of x in y 2.240 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.241 * [taylor]: Taking taylor expansion of -1 in y 2.241 * [taylor]: Taking taylor expansion of x in y 2.241 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.241 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.241 * [taylor]: Taking taylor expansion of -1 in y 2.241 * [taylor]: Taking taylor expansion of y in y 2.241 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.241 * [taylor]: Taking taylor expansion of -1 in y 2.241 * [taylor]: Taking taylor expansion of y in y 2.244 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 2.244 * [taylor]: Taking taylor expansion of (/ -1 z) in y 2.244 * [taylor]: Taking taylor expansion of -1 in y 2.244 * [taylor]: Taking taylor expansion of z in y 2.244 * [taylor]: Taking taylor expansion of (/ -1 z) in y 2.244 * [taylor]: Taking taylor expansion of -1 in y 2.244 * [taylor]: Taking taylor expansion of z in y 2.246 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z))) in x 2.246 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 2.246 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.247 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 2.247 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.247 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 2.247 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 2.247 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.247 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.247 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.247 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.247 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.247 * [taylor]: Taking taylor expansion of -1 in x 2.247 * [taylor]: Taking taylor expansion of x in x 2.248 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.248 * [taylor]: Taking taylor expansion of -1 in x 2.248 * [taylor]: Taking taylor expansion of x in x 2.248 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.248 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.248 * [taylor]: Taking taylor expansion of -1 in x 2.248 * [taylor]: Taking taylor expansion of y in x 2.248 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.248 * [taylor]: Taking taylor expansion of -1 in x 2.248 * [taylor]: Taking taylor expansion of y in x 2.251 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.251 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.251 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.251 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.251 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.251 * [taylor]: Taking taylor expansion of -1 in x 2.251 * [taylor]: Taking taylor expansion of x in x 2.252 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.252 * [taylor]: Taking taylor expansion of -1 in x 2.252 * [taylor]: Taking taylor expansion of x in x 2.252 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.252 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.252 * [taylor]: Taking taylor expansion of -1 in x 2.252 * [taylor]: Taking taylor expansion of y in x 2.252 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.252 * [taylor]: Taking taylor expansion of -1 in x 2.252 * [taylor]: Taking taylor expansion of y in x 2.255 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 2.255 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.255 * [taylor]: Taking taylor expansion of -1 in x 2.255 * [taylor]: Taking taylor expansion of z in x 2.255 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.255 * [taylor]: Taking taylor expansion of -1 in x 2.255 * [taylor]: Taking taylor expansion of z in x 2.257 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z))) in x 2.257 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 2.257 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.258 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 2.258 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.258 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 2.258 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 2.258 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.258 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.258 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.258 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.258 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.258 * [taylor]: Taking taylor expansion of -1 in x 2.258 * [taylor]: Taking taylor expansion of x in x 2.258 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.258 * [taylor]: Taking taylor expansion of -1 in x 2.258 * [taylor]: Taking taylor expansion of x in x 2.259 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.259 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.259 * [taylor]: Taking taylor expansion of -1 in x 2.259 * [taylor]: Taking taylor expansion of y in x 2.259 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.259 * [taylor]: Taking taylor expansion of -1 in x 2.259 * [taylor]: Taking taylor expansion of y in x 2.261 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.261 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.261 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.262 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.262 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.262 * [taylor]: Taking taylor expansion of -1 in x 2.262 * [taylor]: Taking taylor expansion of x in x 2.262 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.262 * [taylor]: Taking taylor expansion of -1 in x 2.262 * [taylor]: Taking taylor expansion of x in x 2.262 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.262 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.262 * [taylor]: Taking taylor expansion of -1 in x 2.262 * [taylor]: Taking taylor expansion of y in x 2.262 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.262 * [taylor]: Taking taylor expansion of -1 in x 2.262 * [taylor]: Taking taylor expansion of y in x 2.265 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 2.265 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.265 * [taylor]: Taking taylor expansion of -1 in x 2.265 * [taylor]: Taking taylor expansion of z in x 2.265 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.265 * [taylor]: Taking taylor expansion of -1 in x 2.265 * [taylor]: Taking taylor expansion of z in x 2.268 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.268 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.269 * [taylor]: Taking taylor expansion of 0 in y 2.269 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.269 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.278 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 2.278 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 2.278 * [taylor]: Taking taylor expansion of 1/2 in y 2.278 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 2.278 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.278 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.279 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.279 * [taylor]: Taking taylor expansion of z in y 2.279 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 2.279 * [taylor]: Taking taylor expansion of 1/2 in y 2.279 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 2.279 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.280 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.280 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.280 * [taylor]: Taking taylor expansion of y in y 2.283 * [taylor]: Taking taylor expansion of 0 in z 2.283 * [taylor]: Taking taylor expansion of 0 in z 2.283 * [taylor]: Taking taylor expansion of 0 in z 2.291 * [taylor]: Taking taylor expansion of 0 in y 2.295 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 2.295 * [taylor]: Taking taylor expansion of 1/2 in z 2.295 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 2.295 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.295 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.296 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.296 * [taylor]: Taking taylor expansion of z in z 2.298 * [taylor]: Taking taylor expansion of 0 in z 2.299 * [taylor]: Taking taylor expansion of 0 in z 2.318 * [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 2.318 * [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 2.318 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 2.318 * [taylor]: Taking taylor expansion of 1/8 in y 2.318 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 2.318 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.318 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.319 * [taylor]: Taking taylor expansion of (pow z 4) in y 2.319 * [taylor]: Taking taylor expansion of z in y 2.320 * [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 2.320 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 2.320 * [taylor]: Taking taylor expansion of 1/4 in y 2.320 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 2.320 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.320 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.321 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 2.321 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.321 * [taylor]: Taking taylor expansion of z in y 2.321 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.321 * [taylor]: Taking taylor expansion of y in y 2.321 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 2.321 * [taylor]: Taking taylor expansion of 1/8 in y 2.321 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 2.321 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.321 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.322 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.322 * [taylor]: Taking taylor expansion of y in y 2.333 * [taylor]: Taking taylor expansion of 0 in z 2.333 * [taylor]: Taking taylor expansion of 0 in z 2.337 * [taylor]: Taking taylor expansion of 0 in z 2.337 * [taylor]: Taking taylor expansion of 0 in z 2.338 * [taylor]: Taking taylor expansion of 0 in z 2.341 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 2.341 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 2.341 * [taylor]: Taking taylor expansion of (hypot x y) in y 2.341 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.341 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 2.341 * [taylor]: Taking taylor expansion of (* x x) in y 2.341 * [taylor]: Taking taylor expansion of x in y 2.341 * [taylor]: Taking taylor expansion of x in y 2.341 * [taylor]: Taking taylor expansion of (* y y) in y 2.341 * [taylor]: Taking taylor expansion of y in y 2.341 * [taylor]: Taking taylor expansion of y in y 2.343 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.343 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.343 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.343 * [taylor]: Taking taylor expansion of (* x x) in x 2.343 * [taylor]: Taking taylor expansion of x in x 2.343 * [taylor]: Taking taylor expansion of x in x 2.343 * [taylor]: Taking taylor expansion of (* y y) in x 2.343 * [taylor]: Taking taylor expansion of y in x 2.343 * [taylor]: Taking taylor expansion of y in x 2.344 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.344 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.344 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.344 * [taylor]: Taking taylor expansion of (* x x) in x 2.344 * [taylor]: Taking taylor expansion of x in x 2.344 * [taylor]: Taking taylor expansion of x in x 2.344 * [taylor]: Taking taylor expansion of (* y y) in x 2.344 * [taylor]: Taking taylor expansion of y in x 2.344 * [taylor]: Taking taylor expansion of y in x 2.346 * [taylor]: Taking taylor expansion of y in y 2.346 * [taylor]: Taking taylor expansion of 0 in y 2.347 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 2.347 * [taylor]: Taking taylor expansion of 1/2 in y 2.347 * [taylor]: Taking taylor expansion of y in y 2.350 * [taylor]: Taking taylor expansion of 0 in y 2.351 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 2.351 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 2.351 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.351 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 2.351 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.351 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.351 * [taylor]: Taking taylor expansion of x in y 2.351 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.351 * [taylor]: Taking taylor expansion of x in y 2.351 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.351 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.351 * [taylor]: Taking taylor expansion of y in y 2.351 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.351 * [taylor]: Taking taylor expansion of y in y 2.354 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.354 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.354 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.354 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.354 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.354 * [taylor]: Taking taylor expansion of x in x 2.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.355 * [taylor]: Taking taylor expansion of x in x 2.355 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.355 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.355 * [taylor]: Taking taylor expansion of y in x 2.355 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.355 * [taylor]: Taking taylor expansion of y in x 2.358 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.358 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.358 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.358 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.358 * [taylor]: Taking taylor expansion of x in x 2.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.358 * [taylor]: Taking taylor expansion of x in x 2.359 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.359 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.359 * [taylor]: Taking taylor expansion of y in x 2.359 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.359 * [taylor]: Taking taylor expansion of y in x 2.361 * [taylor]: Taking taylor expansion of 1 in y 2.361 * [taylor]: Taking taylor expansion of 0 in y 2.364 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 2.364 * [taylor]: Taking taylor expansion of 1/2 in y 2.364 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.364 * [taylor]: Taking taylor expansion of y in y 2.368 * [taylor]: Taking taylor expansion of 0 in y 2.369 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 2.369 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 2.370 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.370 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 2.370 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.370 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.370 * [taylor]: Taking taylor expansion of -1 in y 2.370 * [taylor]: Taking taylor expansion of x in y 2.370 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.370 * [taylor]: Taking taylor expansion of -1 in y 2.370 * [taylor]: Taking taylor expansion of x in y 2.370 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.370 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.370 * [taylor]: Taking taylor expansion of -1 in y 2.370 * [taylor]: Taking taylor expansion of y in y 2.370 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.370 * [taylor]: Taking taylor expansion of -1 in y 2.370 * [taylor]: Taking taylor expansion of y in y 2.373 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.373 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.373 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.373 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.374 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.374 * [taylor]: Taking taylor expansion of -1 in x 2.374 * [taylor]: Taking taylor expansion of x in x 2.374 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.374 * [taylor]: Taking taylor expansion of -1 in x 2.374 * [taylor]: Taking taylor expansion of x in x 2.374 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.374 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.374 * [taylor]: Taking taylor expansion of -1 in x 2.374 * [taylor]: Taking taylor expansion of y in x 2.374 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.374 * [taylor]: Taking taylor expansion of -1 in x 2.374 * [taylor]: Taking taylor expansion of y in x 2.377 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.377 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.377 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.377 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.377 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.377 * [taylor]: Taking taylor expansion of -1 in x 2.377 * [taylor]: Taking taylor expansion of x in x 2.378 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.378 * [taylor]: Taking taylor expansion of -1 in x 2.378 * [taylor]: Taking taylor expansion of x in x 2.378 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.378 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.378 * [taylor]: Taking taylor expansion of -1 in x 2.378 * [taylor]: Taking taylor expansion of y in x 2.378 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.378 * [taylor]: Taking taylor expansion of -1 in x 2.378 * [taylor]: Taking taylor expansion of y in x 2.381 * [taylor]: Taking taylor expansion of 1 in y 2.381 * [taylor]: Taking taylor expansion of 0 in y 2.384 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 2.384 * [taylor]: Taking taylor expansion of 1/2 in y 2.384 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.384 * [taylor]: Taking taylor expansion of y in y 2.388 * [taylor]: Taking taylor expansion of 0 in y 2.389 * * * [progress]: simplifying candidates 2.390 * [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 x y)) (log1p (hypot x y)) (+ (* x x) (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (* (* (hypot x y) (hypot x y)) (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) y x (* -1 x) 2.394 * * [simplify]: iteration 0 : 172 enodes (cost 317 ) 2.398 * * [simplify]: iteration 1 : 506 enodes (cost 292 ) 2.408 * * [simplify]: iteration 2 : 1233 enodes (cost 276 ) 2.425 * * [simplify]: iteration 3 : 2254 enodes (cost 265 ) 2.457 * * [simplify]: iteration 4 : 5002 enodes (cost 265 ) 2.459 * [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 x y)) (log1p (hypot x y)) (fma x x (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (pow (hypot x y) 3) (sqrt (hypot x y)) (sqrt (hypot x y)) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) y x (* -1 x) 2.460 * * * [progress]: adding candidates to table 2.615 * [progress]: [Phase 3 of 3] Extracting. 2.615 * * [regime]: Finding splitpoints for: (# # # #) 2.616 * * * [regime-changes]: Trying 3 branch expressions: (z y x) 2.616 * * * * [regimes]: Trying to branch on z from (# # # #) 2.638 * * * * [regimes]: Trying to branch on y from (# # # #) 2.665 * * * * [regimes]: Trying to branch on x from (# # # #) 2.688 * * * [regime]: Found split indices: #