14.634 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.033 * [simplify]: Simplifying using # : (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) 0.037 * * [simplify]: iteration 0 : 16 enodes (cost 7 ) 0.039 * * [simplify]: iteration 1 : 27 enodes (cost 7 ) 0.042 * * [simplify]: iteration 2 : 33 enodes (cost 7 ) 0.044 * * [simplify]: iteration 3 : 34 enodes (cost 7 ) 0.046 * * [simplify]: iteration 4 : 34 enodes (cost 7 ) 0.046 * [simplify]: Simplified to: (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) 0.047 * * [progress]: iteration 1 / 4 0.047 * * * [progress]: picking best candidate 0.049 * * * * [pick]: Picked # 0.049 * * * [progress]: localizing error 0.060 * * * [progress]: generating rewritten candidates 0.060 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.080 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.109 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.123 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.128 * * * [progress]: generating series expansions 0.128 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.129 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in (x y z) around 0 0.129 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z 0.129 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.129 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.129 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.129 * [taylor]: Taking taylor expansion of x in z 0.129 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.129 * [taylor]: Taking taylor expansion of y in z 0.129 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.129 * [taylor]: Taking taylor expansion of z in z 0.131 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.131 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.132 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 0.132 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.132 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.132 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.132 * [taylor]: Taking taylor expansion of x in y 0.132 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.132 * [taylor]: Taking taylor expansion of z in y 0.133 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.133 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.134 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x 0.134 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.134 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 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 (+ (pow y 2) (pow z 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.134 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.134 * [taylor]: Taking taylor expansion of z in x 0.136 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.136 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.136 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x 0.137 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.137 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.137 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.137 * [taylor]: Taking taylor expansion of y in x 0.137 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.137 * [taylor]: Taking taylor expansion of z in x 0.138 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.138 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.140 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y 0.140 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.140 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.140 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.140 * [taylor]: Taking taylor expansion of y in y 0.140 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.140 * [taylor]: Taking taylor expansion of z in y 0.140 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.140 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.141 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z 0.141 * [taylor]: Taking taylor expansion of z in z 0.141 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.141 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.143 * [taylor]: Taking taylor expansion of 0 in y 0.143 * [taylor]: Taking taylor expansion of 0 in z 0.144 * [taylor]: Taking taylor expansion of 0 in z 0.150 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y 0.150 * [taylor]: Taking taylor expansion of 1/2 in y 0.150 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 0.150 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.150 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.150 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.150 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.150 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.150 * [taylor]: Taking taylor expansion of z in y 0.151 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.151 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.152 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 0.153 * [taylor]: Taking taylor expansion of 1/2 in z 0.153 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 0.153 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.153 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.153 * [taylor]: Taking taylor expansion of z in z 0.155 * [taylor]: Taking taylor expansion of 0 in z 0.158 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 0.158 * [taylor]: Taking taylor expansion of 1/2 in z 0.158 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 0.158 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.158 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.159 * [taylor]: Taking taylor expansion of z in z 0.163 * [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 0.163 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.163 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.163 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.163 * [taylor]: Taking taylor expansion of x in z 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.163 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.163 * [taylor]: Taking taylor expansion of z in z 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.164 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.164 * [taylor]: Taking taylor expansion of y in z 0.167 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.167 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.168 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 0.168 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.168 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.168 * [taylor]: Taking taylor expansion of x in y 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.168 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.168 * [taylor]: Taking taylor expansion of z in y 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.168 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.168 * [taylor]: Taking taylor expansion of y 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 0.177 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.177 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.177 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.178 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.178 * [taylor]: Taking taylor expansion of z in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.178 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.178 * [taylor]: Taking taylor expansion of y in x 0.180 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.180 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.181 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.181 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.182 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.182 * [taylor]: Taking taylor expansion of z in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.182 * [taylor]: Taking taylor expansion of y in x 0.184 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.184 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.185 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.185 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.187 * [taylor]: Taking taylor expansion of 0 in y 0.187 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.187 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.192 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 0.192 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 0.192 * [taylor]: Taking taylor expansion of 1/2 in y 0.192 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 0.192 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.192 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.192 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.193 * [taylor]: Taking taylor expansion of z in y 0.193 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 0.193 * [taylor]: Taking taylor expansion of 1/2 in y 0.193 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 0.193 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.193 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.194 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.194 * [taylor]: Taking taylor expansion of y in y 0.196 * [taylor]: Taking taylor expansion of 0 in z 0.196 * [taylor]: Taking taylor expansion of 0 in z 0.196 * [taylor]: Taking taylor expansion of 0 in z 0.201 * [taylor]: Taking taylor expansion of 0 in y 0.204 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 0.204 * [taylor]: Taking taylor expansion of 1/2 in z 0.204 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 0.204 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.204 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.205 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.205 * [taylor]: Taking taylor expansion of z in z 0.207 * [taylor]: Taking taylor expansion of 0 in z 0.208 * [taylor]: Taking taylor expansion of 0 in z 0.215 * [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 0.215 * [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 0.215 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 0.215 * [taylor]: Taking taylor expansion of 1/8 in y 0.215 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 0.215 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.215 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.215 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.215 * [taylor]: Taking taylor expansion of z in y 0.216 * [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 0.216 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 0.216 * [taylor]: Taking taylor expansion of 1/4 in y 0.216 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 0.216 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.216 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.217 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.217 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.217 * [taylor]: Taking taylor expansion of z in y 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.218 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 0.218 * [taylor]: Taking taylor expansion of 1/8 in y 0.218 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 0.218 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.218 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.218 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.218 * [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 0.233 * [taylor]: Taking taylor expansion of 0 in z 0.233 * [taylor]: Taking taylor expansion of 0 in z 0.234 * [taylor]: Taking taylor expansion of 0 in z 0.237 * [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 0.237 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.237 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.237 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.237 * [taylor]: Taking taylor expansion of x in z 0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.237 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.237 * [taylor]: Taking taylor expansion of z in z 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.238 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.238 * [taylor]: Taking taylor expansion of y in z 0.240 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.241 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.241 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 0.241 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.241 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.241 * [taylor]: Taking taylor expansion of x in y 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.242 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.242 * [taylor]: Taking taylor expansion of z in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.242 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.245 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.245 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.245 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.245 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.246 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.246 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.246 * [taylor]: Taking taylor expansion of z in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.246 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.246 * [taylor]: Taking taylor expansion of y in x 0.248 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.248 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.249 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.249 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.249 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.249 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.250 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.250 * [taylor]: Taking taylor expansion of z in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.250 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.250 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.252 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.253 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.253 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.255 * [taylor]: Taking taylor expansion of 0 in y 0.255 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.255 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.259 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 0.259 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 0.260 * [taylor]: Taking taylor expansion of 1/2 in y 0.260 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 0.260 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.260 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.260 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.260 * [taylor]: Taking taylor expansion of z in y 0.261 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 0.261 * [taylor]: Taking taylor expansion of 1/2 in y 0.261 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 0.261 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.261 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.262 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of 0 in z 0.270 * [taylor]: Taking taylor expansion of 0 in z 0.270 * [taylor]: Taking taylor expansion of 0 in z 0.275 * [taylor]: Taking taylor expansion of 0 in y 0.278 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 0.278 * [taylor]: Taking taylor expansion of 1/2 in z 0.278 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 0.278 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.278 * [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 0.281 * [taylor]: Taking taylor expansion of 0 in z 0.282 * [taylor]: Taking taylor expansion of 0 in z 0.288 * [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 0.289 * [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 0.289 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 0.289 * [taylor]: Taking taylor expansion of 1/8 in y 0.289 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 0.289 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.289 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.289 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.289 * [taylor]: Taking taylor expansion of z in y 0.290 * [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 0.290 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 0.290 * [taylor]: Taking taylor expansion of 1/4 in y 0.290 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 0.290 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.290 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.291 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.291 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.291 * [taylor]: Taking taylor expansion of z in y 0.291 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.291 * [taylor]: Taking taylor expansion of y in y 0.292 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 0.292 * [taylor]: Taking taylor expansion of 1/8 in y 0.292 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 0.292 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.292 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.292 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of 0 in z 0.303 * [taylor]: Taking taylor expansion of 0 in z 0.307 * [taylor]: Taking taylor expansion of 0 in z 0.307 * [taylor]: Taking taylor expansion of 0 in z 0.308 * [taylor]: Taking taylor expansion of 0 in z 0.311 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.311 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.311 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.311 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.311 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.311 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.311 * [taylor]: Taking taylor expansion of x in z 0.311 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.311 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.311 * [taylor]: Taking taylor expansion of y in z 0.311 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.311 * [taylor]: Taking taylor expansion of z in z 0.311 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.311 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.311 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.311 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.311 * [taylor]: Taking taylor expansion of x in y 0.311 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 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 (pow z 2) in y 0.311 * [taylor]: Taking taylor expansion of z in y 0.311 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.311 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.311 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 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 0.311 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.311 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.311 * [taylor]: Taking taylor expansion of y in x 0.311 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.311 * [taylor]: Taking taylor expansion of z in x 0.311 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.311 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.311 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.311 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 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 (pow z 2) in x 0.312 * [taylor]: Taking taylor expansion of z in x 0.312 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (pow z 2))) in y 0.312 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.312 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.312 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.312 * [taylor]: Taking taylor expansion of y in y 0.312 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.312 * [taylor]: Taking taylor expansion of z in y 0.312 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow z 2)) in z 0.312 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.312 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.312 * [taylor]: Taking taylor expansion of z in z 0.314 * [taylor]: Taking taylor expansion of 0 in y 0.314 * [taylor]: Taking taylor expansion of 0 in z 0.314 * [taylor]: Taking taylor expansion of 0 in z 0.316 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.316 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.316 * [taylor]: Taking taylor expansion of 0 in z 0.318 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.319 * [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 0.319 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.319 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.319 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.319 * [taylor]: Taking taylor expansion of x in z 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.320 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.320 * [taylor]: Taking taylor expansion of z in z 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.320 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.320 * [taylor]: Taking taylor expansion of y in z 0.320 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.320 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.320 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.320 * [taylor]: Taking taylor expansion of x in y 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.321 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.321 * [taylor]: Taking taylor expansion of z in y 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.321 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.321 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.321 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.322 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.322 * [taylor]: Taking taylor expansion of z in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.322 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.322 * [taylor]: Taking taylor expansion of y in x 0.322 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.322 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.322 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.323 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.323 * [taylor]: Taking taylor expansion of z in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.323 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.323 * [taylor]: Taking taylor expansion of y in x 0.324 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.325 * [taylor]: Taking taylor expansion of 0 in y 0.327 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow z 2))) (* 0.3333333333333333 (/ 1 (pow y 2)))) in y 0.327 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in y 0.327 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.327 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.327 * [taylor]: Taking taylor expansion of z in y 0.328 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow y 2))) in y 0.328 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.328 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.329 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.332 * [taylor]: Taking taylor expansion of 0 in y 0.333 * [taylor]: Taking taylor expansion of 0 in z 0.333 * [taylor]: Taking taylor expansion of 0 in z 0.333 * [taylor]: Taking taylor expansion of 0 in z 0.337 * [taylor]: Taking taylor expansion of 0 in y 0.339 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in z 0.339 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.339 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.339 * [taylor]: Taking taylor expansion of z in z 0.340 * [taylor]: Taking taylor expansion of 0 in z 0.340 * [taylor]: Taking taylor expansion of 0 in z 0.341 * [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 0.341 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.341 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.341 * [taylor]: Taking taylor expansion of x in z 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.341 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.341 * [taylor]: Taking taylor expansion of z in z 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.342 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.342 * [taylor]: Taking taylor expansion of y in z 0.342 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.342 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.342 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.342 * [taylor]: Taking taylor expansion of x in y 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.342 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.342 * [taylor]: Taking taylor expansion of z in y 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.343 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.343 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.343 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.343 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.344 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.344 * [taylor]: Taking taylor expansion of z in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.344 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.345 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.345 * [taylor]: Taking taylor expansion of z in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.345 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.347 * [taylor]: Taking taylor expansion of 0 in y 0.349 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow z 2))) (* 0.3333333333333333 (/ 1 (pow y 2)))) in y 0.349 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in y 0.349 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.349 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.349 * [taylor]: Taking taylor expansion of z in y 0.349 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow y 2))) in y 0.349 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.351 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.351 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.353 * [taylor]: Taking taylor expansion of 0 in y 0.355 * [taylor]: Taking taylor expansion of 0 in z 0.355 * [taylor]: Taking taylor expansion of 0 in z 0.355 * [taylor]: Taking taylor expansion of 0 in z 0.365 * [taylor]: Taking taylor expansion of 0 in y 0.366 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in z 0.367 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.367 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.367 * [taylor]: Taking taylor expansion of z in z 0.367 * [taylor]: Taking taylor expansion of 0 in z 0.367 * [taylor]: Taking taylor expansion of 0 in z 0.368 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.369 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in (x y z) around 0 0.369 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.369 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.369 * [taylor]: Taking taylor expansion of x in z 0.369 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.369 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.369 * [taylor]: Taking taylor expansion of y in z 0.369 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.369 * [taylor]: Taking taylor expansion of z in z 0.369 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.369 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.369 * [taylor]: Taking taylor expansion of x in y 0.369 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.369 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.369 * [taylor]: Taking taylor expansion of y in y 0.369 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.369 * [taylor]: Taking taylor expansion of z in y 0.369 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.369 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.369 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.369 * [taylor]: Taking taylor expansion of y in x 0.369 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.369 * [taylor]: Taking taylor expansion of z in x 0.369 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.369 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.369 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.369 * [taylor]: Taking taylor expansion of y in x 0.369 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.369 * [taylor]: Taking taylor expansion of z in x 0.369 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.369 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.370 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.370 * [taylor]: Taking taylor expansion of z in y 0.370 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.370 * [taylor]: Taking taylor expansion of z in z 0.370 * [taylor]: Taking taylor expansion of 0 in y 0.370 * [taylor]: Taking taylor expansion of 0 in z 0.371 * [taylor]: Taking taylor expansion of 0 in z 0.372 * [taylor]: Taking taylor expansion of 1 in y 0.372 * [taylor]: Taking taylor expansion of 1 in z 0.372 * [taylor]: Taking taylor expansion of 0 in z 0.373 * [taylor]: Taking taylor expansion of 1 in z 0.374 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.374 * [taylor]: Taking taylor expansion of x in z 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.374 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.374 * [taylor]: Taking taylor expansion of z in z 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.375 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.375 * [taylor]: Taking taylor expansion of y in z 0.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.375 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.375 * [taylor]: Taking taylor expansion of x in y 0.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.375 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.375 * [taylor]: Taking taylor expansion of z in y 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.375 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.375 * [taylor]: Taking taylor expansion of y in y 0.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.376 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.376 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.376 * [taylor]: Taking taylor expansion of z in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.377 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.377 * [taylor]: Taking taylor expansion of y in x 0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.377 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.377 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.377 * [taylor]: Taking taylor expansion of z in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.377 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.377 * [taylor]: Taking taylor expansion of y in x 0.378 * [taylor]: Taking taylor expansion of 1 in y 0.379 * [taylor]: Taking taylor expansion of 0 in y 0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.380 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.381 * [taylor]: Taking taylor expansion of z in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.381 * [taylor]: Taking taylor expansion of 1 in z 0.382 * [taylor]: Taking taylor expansion of 1 in z 0.383 * [taylor]: Taking taylor expansion of 0 in y 0.385 * [taylor]: Taking taylor expansion of 0 in z 0.385 * [taylor]: Taking taylor expansion of 0 in z 0.385 * [taylor]: Taking taylor expansion of 0 in z 0.387 * [taylor]: Taking taylor expansion of 0 in y 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.389 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.389 * [taylor]: Taking taylor expansion of z in z 0.389 * [taylor]: Taking taylor expansion of 0 in z 0.389 * [taylor]: Taking taylor expansion of 0 in z 0.390 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.391 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.391 * [taylor]: Taking taylor expansion of x in z 0.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.391 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.391 * [taylor]: Taking taylor expansion of z in z 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.391 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.391 * [taylor]: Taking taylor expansion of y in z 0.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.391 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.391 * [taylor]: Taking taylor expansion of x in y 0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.392 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.392 * [taylor]: Taking taylor expansion of z in y 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.392 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.392 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.393 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.393 * [taylor]: Taking taylor expansion of z in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.393 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.393 * [taylor]: Taking taylor expansion of y in x 0.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.393 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.394 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.394 * [taylor]: Taking taylor expansion of z in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.394 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.394 * [taylor]: Taking taylor expansion of y in x 0.395 * [taylor]: Taking taylor expansion of 1 in y 0.396 * [taylor]: Taking taylor expansion of 0 in y 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.397 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.397 * [taylor]: Taking taylor expansion of z in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.397 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.398 * [taylor]: Taking taylor expansion of 1 in z 0.398 * [taylor]: Taking taylor expansion of 1 in z 0.400 * [taylor]: Taking taylor expansion of 0 in y 0.402 * [taylor]: Taking taylor expansion of 0 in z 0.402 * [taylor]: Taking taylor expansion of 0 in z 0.402 * [taylor]: Taking taylor expansion of 0 in z 0.405 * [taylor]: Taking taylor expansion of 0 in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.406 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.406 * [taylor]: Taking taylor expansion of z in z 0.407 * [taylor]: Taking taylor expansion of 0 in z 0.407 * [taylor]: Taking taylor expansion of 0 in z 0.408 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.408 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.408 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.408 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.408 * [taylor]: Taking taylor expansion of x in y 0.408 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.408 * [taylor]: Taking taylor expansion of y in y 0.408 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.408 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.408 * [taylor]: Taking taylor expansion of y in x 0.408 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.408 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.408 * [taylor]: Taking taylor expansion of y in x 0.408 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.408 * [taylor]: Taking taylor expansion of y in y 0.409 * [taylor]: Taking taylor expansion of 0 in y 0.410 * [taylor]: Taking taylor expansion of 1 in y 0.411 * [taylor]: Taking taylor expansion of 0 in y 0.413 * [taylor]: Taking taylor expansion of 0 in y 0.414 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.414 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.414 * [taylor]: Taking taylor expansion of x in y 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.414 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.414 * [taylor]: Taking taylor expansion of y in y 0.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.415 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.415 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.415 * [taylor]: Taking taylor expansion of y in x 0.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.416 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.416 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.416 * [taylor]: Taking taylor expansion of y in x 0.417 * [taylor]: Taking taylor expansion of 1 in y 0.418 * [taylor]: Taking taylor expansion of 0 in y 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.419 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.421 * [taylor]: Taking taylor expansion of 0 in y 0.425 * [taylor]: Taking taylor expansion of 0 in y 0.426 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.426 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.426 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.426 * [taylor]: Taking taylor expansion of x in y 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.426 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.426 * [taylor]: Taking taylor expansion of y in y 0.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.428 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.428 * [taylor]: Taking taylor expansion of y in x 0.428 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.428 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.429 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.429 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.429 * [taylor]: Taking taylor expansion of y in x 0.429 * [taylor]: Taking taylor expansion of 1 in y 0.430 * [taylor]: Taking taylor expansion of 0 in y 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.432 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.432 * [taylor]: Taking taylor expansion of y in y 0.434 * [taylor]: Taking taylor expansion of 0 in y 0.437 * [taylor]: Taking taylor expansion of 0 in y 0.439 * * * [progress]: simplifying candidates 0.440 * [simplify]: Simplifying using # : (expm1 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (log1p (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (log (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (exp (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (* (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))) (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (* (* (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (* (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))) (sqrt (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0))) (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) 1)) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0))) (sqrt (/ 1 (sqrt 3.0))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0))) (sqrt (/ 1 1)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt 1) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0) (/ 1 2) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (expm1 (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (log1p (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (- (log (+ (+ (* x x) (* y y)) (* z z))) (log 3.0)) (log (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (exp (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (/ (* (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z))) (* (* 3.0 3.0) 3.0)) (* (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (* (* (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (- (+ (+ (* x x) (* y y)) (* z z))) (- 3.0) (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)) (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) 3.0) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0)) (/ 1 1) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) (/ 1 3.0) (/ 3.0 (+ (+ (* x x) (* y y)) (* z z))) (/ (+ (+ (* x x) (* y y)) (* z z)) (* (cbrt 3.0) (cbrt 3.0))) (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0)) (/ (+ (+ (* x x) (* y y)) (* z z)) 1) (/ 3.0 (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (/ 3.0 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ 3.0 (+ (+ (* x x) (* y y)) (* z z))) (* 3.0 (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (* 3.0 (- (+ (* x x) (* y y)) (* z z))) (expm1 (+ (+ (* x x) (* y y)) (* z z))) (log1p (+ (+ (* x x) (* y y)) (* z z))) (* (* (exp (* x x)) (exp (* y y))) (exp (* z z))) (* (exp (+ (* x x) (* y y))) (exp (* z z))) (log (+ (+ (* x x) (* y y)) (* z z))) (exp (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (+ (+ (* x x) (* y y)) (* z z))) (* (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))) (- (+ (* x x) (* y y)) (* z z)) (+ (* y y) (* z z)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2)))) (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2)))) (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2)))) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.448 * * [simplify]: iteration 0 : 345 enodes (cost 852 ) 0.457 * * [simplify]: iteration 1 : 1445 enodes (cost 759 ) 0.480 * * [simplify]: iteration 2 : 5001 enodes (cost 739 ) 0.484 * [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 x x (fma y y (* z z)))) (log 3.0)) (- (log (fma x x (fma y y (* z z)))) (log 3.0)) (exp (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (pow (/ (fma x x (fma y y (* z z))) 3.0) 3) (* (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (pow (/ (fma x x (fma y y (* z z))) 3.0) 3) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (- (fma x x (fma 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)))) (/ (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 x x (fma y y (* z z))) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (fma x x (fma y y (* z z))) (sqrt 3.0)) 1 (/ (fma x x (fma y y (* z z))) 3.0) (/ 1 3.0) (/ 3.0 (fma x x (fma y y (* z z)))) (/ (/ (fma x x (fma y y (* z z))) (cbrt 3.0)) (cbrt 3.0)) (/ (fma x x (fma y y (* z z))) (sqrt 3.0)) (fma x x (fma y y (* z z))) (/ 3.0 (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (/ 3.0 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ 3.0 (fma x x (fma y y (* z z)))) (fma (* 3.0 (fma x x (* y y))) (fma x x (* y y)) (* (* 3.0 (pow z 2)) (- (pow z 2) (fma x x (* y y))))) (* 3.0 (- (+ (* x x) (* y y)) (* z z))) (expm1 (+ (+ (* x x) (* y y)) (* z z))) (log1p (+ (+ (* x x) (* y y)) (* z z))) (exp (fma x x (fma y y (* z z)))) (exp (fma x x (fma y y (* z z)))) (log (fma x x (fma y y (* z z)))) (exp (fma x x (fma y y (* z z)))) (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (+ (+ (* x x) (* y y)) (* z z))) (pow (fma x x (fma y y (* z z))) 3) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fma (* (pow z 4) z) z (pow (fma x x (* y y)) 3)) (fma (pow z 2) (- (pow z 2) (fma x x (* y y))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))) (* (fma x x (- (pow y 2) (pow z 2))) (fma x x (fma y y (* z z)))) (fma x x (- (pow y 2) (pow z 2))) (fma y y (* z z)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (fma x x (* y y)) 3) (hypot x y) (hypot x y) (fma (* (pow y 4) y) y (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* x x) (* y y)) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) (* 0.3333333333333333 (fma x x (fma y y (* z z)))) (* 0.3333333333333333 (fma x x (fma y y (* z z)))) (* 0.3333333333333333 (fma x x (fma y y (* z z)))) (fma x x (fma y y (* z z))) (fma x x (fma y y (* z z))) (fma x x (fma y y (* z z))) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.485 * * * [progress]: adding candidates to table 0.827 * * [progress]: iteration 2 / 4 0.827 * * * [progress]: picking best candidate 0.840 * * * * [pick]: Picked # 0.840 * * * [progress]: localizing error 0.853 * * * [progress]: generating rewritten candidates 0.853 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.873 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.914 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.927 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.933 * * * [progress]: generating series expansions 0.933 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.934 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.934 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.934 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.934 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.934 * [taylor]: Taking taylor expansion of x in z 0.934 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.934 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.934 * [taylor]: Taking taylor expansion of y in z 0.934 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.934 * [taylor]: Taking taylor expansion of z in z 0.936 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.936 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.936 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.936 * [taylor]: Taking taylor expansion of x in y 0.936 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.936 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.936 * [taylor]: Taking taylor expansion of y in y 0.936 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.936 * [taylor]: Taking taylor expansion of z in y 0.937 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.937 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.937 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.937 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.937 * [taylor]: Taking taylor expansion of y in x 0.937 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.937 * [taylor]: Taking taylor expansion of z in x 0.938 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.939 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.939 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.939 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.939 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.939 * [taylor]: Taking taylor expansion of y in x 0.939 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.939 * [taylor]: Taking taylor expansion of z in x 0.940 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.940 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.940 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.940 * [taylor]: Taking taylor expansion of y in y 0.940 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.940 * [taylor]: Taking taylor expansion of z in y 0.941 * [taylor]: Taking taylor expansion of z in z 0.941 * [taylor]: Taking taylor expansion of 0 in y 0.941 * [taylor]: Taking taylor expansion of 0 in z 0.941 * [taylor]: Taking taylor expansion of 0 in z 0.943 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.943 * [taylor]: Taking taylor expansion of 1/2 in y 0.943 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.943 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.943 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.943 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.943 * [taylor]: Taking taylor expansion of y in y 0.943 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.943 * [taylor]: Taking taylor expansion of z in y 0.944 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.944 * [taylor]: Taking taylor expansion of 1/2 in z 0.944 * [taylor]: Taking taylor expansion of z in z 0.945 * [taylor]: Taking taylor expansion of 0 in z 0.947 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.947 * [taylor]: Taking taylor expansion of 1/2 in z 0.947 * [taylor]: Taking taylor expansion of z in z 0.952 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.952 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.952 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.952 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.952 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.952 * [taylor]: Taking taylor expansion of x in z 0.953 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.953 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.953 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.953 * [taylor]: Taking taylor expansion of z in z 0.953 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.953 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.953 * [taylor]: Taking taylor expansion of y in z 0.956 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.956 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.956 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.956 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.956 * [taylor]: Taking taylor expansion of x in y 0.957 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.957 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.957 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.957 * [taylor]: Taking taylor expansion of z in y 0.957 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.957 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.957 * [taylor]: Taking taylor expansion of y in y 0.960 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.960 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.960 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.960 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.960 * [taylor]: Taking taylor expansion of x in x 0.961 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.961 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.961 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.961 * [taylor]: Taking taylor expansion of z in x 0.961 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.961 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.961 * [taylor]: Taking taylor expansion of y in x 0.963 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.963 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.964 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.964 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.964 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.964 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.964 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.964 * [taylor]: Taking taylor expansion of z in x 0.964 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.964 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.964 * [taylor]: Taking taylor expansion of y in x 0.967 * [taylor]: Taking taylor expansion of 1 in y 0.967 * [taylor]: Taking taylor expansion of 0 in y 0.967 * [taylor]: Taking taylor expansion of 1 in z 0.970 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.970 * [taylor]: Taking taylor expansion of 1/2 in y 0.970 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.970 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.970 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.970 * [taylor]: Taking taylor expansion of z in y 0.970 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.970 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.970 * [taylor]: Taking taylor expansion of y in y 0.972 * [taylor]: Taking taylor expansion of 0 in z 0.972 * [taylor]: Taking taylor expansion of 0 in z 0.973 * [taylor]: Taking taylor expansion of 0 in z 0.975 * [taylor]: Taking taylor expansion of 0 in y 0.977 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.977 * [taylor]: Taking taylor expansion of 1/2 in z 0.977 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.977 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.977 * [taylor]: Taking taylor expansion of z in z 0.979 * [taylor]: Taking taylor expansion of 0 in z 0.979 * [taylor]: Taking taylor expansion of 0 in z 0.983 * [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 0.983 * [taylor]: Taking taylor expansion of -1/2 in y 0.983 * [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 0.983 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.983 * [taylor]: Taking taylor expansion of 1/4 in y 0.983 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.983 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.983 * [taylor]: Taking taylor expansion of z in y 0.983 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.983 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.983 * [taylor]: Taking taylor expansion of 1/2 in y 0.983 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.983 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.983 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.983 * [taylor]: Taking taylor expansion of z in y 0.983 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.983 * [taylor]: Taking taylor expansion of y in y 0.984 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.984 * [taylor]: Taking taylor expansion of 1/4 in y 0.984 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.984 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.984 * [taylor]: Taking taylor expansion of y in y 0.995 * [taylor]: Taking taylor expansion of 0 in z 0.995 * [taylor]: Taking taylor expansion of 0 in z 0.997 * [taylor]: Taking taylor expansion of 0 in z 0.997 * [taylor]: Taking taylor expansion of 0 in z 0.997 * [taylor]: Taking taylor expansion of 0 in z 1.000 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 1.000 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.000 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 1.000 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.000 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.000 * [taylor]: Taking taylor expansion of x in z 1.000 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 1.000 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.000 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.000 * [taylor]: Taking taylor expansion of z in z 1.001 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.001 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.001 * [taylor]: Taking taylor expansion of y in z 1.003 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.003 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.003 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.003 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.003 * [taylor]: Taking taylor expansion of x in y 1.003 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.003 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.003 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.003 * [taylor]: Taking taylor expansion of z in y 1.004 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.004 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.004 * [taylor]: Taking taylor expansion of y in y 1.006 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.006 * [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 1.007 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.007 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.007 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.007 * [taylor]: Taking taylor expansion of z in x 1.007 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.007 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.007 * [taylor]: Taking taylor expansion of y in x 1.009 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.009 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.009 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.009 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.009 * [taylor]: Taking taylor expansion of x in x 1.010 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.010 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.010 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.010 * [taylor]: Taking taylor expansion of z in x 1.010 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.010 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.010 * [taylor]: Taking taylor expansion of y in x 1.012 * [taylor]: Taking taylor expansion of 1 in y 1.012 * [taylor]: Taking taylor expansion of 0 in y 1.012 * [taylor]: Taking taylor expansion of 1 in z 1.015 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.015 * [taylor]: Taking taylor expansion of 1/2 in y 1.015 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.015 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.015 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.015 * [taylor]: Taking taylor expansion of z in y 1.015 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.015 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.015 * [taylor]: Taking taylor expansion of y in y 1.017 * [taylor]: Taking taylor expansion of 0 in z 1.017 * [taylor]: Taking taylor expansion of 0 in z 1.017 * [taylor]: Taking taylor expansion of 0 in z 1.020 * [taylor]: Taking taylor expansion of 0 in y 1.022 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.022 * [taylor]: Taking taylor expansion of 1/2 in z 1.022 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.022 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.022 * [taylor]: Taking taylor expansion of z in z 1.024 * [taylor]: Taking taylor expansion of 0 in z 1.024 * [taylor]: Taking taylor expansion of 0 in z 1.028 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 1.028 * [taylor]: Taking taylor expansion of -1/2 in y 1.028 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 1.028 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.028 * [taylor]: Taking taylor expansion of 1/4 in y 1.028 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.028 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.028 * [taylor]: Taking taylor expansion of z in y 1.029 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.029 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.029 * [taylor]: Taking taylor expansion of 1/2 in y 1.029 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.029 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.029 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.029 * [taylor]: Taking taylor expansion of z in y 1.029 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.029 * [taylor]: Taking taylor expansion of y in y 1.029 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.029 * [taylor]: Taking taylor expansion of 1/4 in y 1.029 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.029 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.030 * [taylor]: Taking taylor expansion of y in y 1.041 * [taylor]: Taking taylor expansion of 0 in z 1.041 * [taylor]: Taking taylor expansion of 0 in z 1.044 * [taylor]: Taking taylor expansion of 0 in z 1.044 * [taylor]: Taking taylor expansion of 0 in z 1.044 * [taylor]: Taking taylor expansion of 0 in z 1.052 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.054 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in (x y z) around 0 1.054 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z 1.054 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 1.054 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 1.054 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.054 * [taylor]: Taking taylor expansion of x in z 1.054 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 1.054 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.054 * [taylor]: Taking taylor expansion of y in z 1.054 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.054 * [taylor]: Taking taylor expansion of z in z 1.055 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.055 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.056 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 1.056 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 1.056 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 1.056 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.056 * [taylor]: Taking taylor expansion of x in y 1.056 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.056 * [taylor]: Taking taylor expansion of y in y 1.056 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.056 * [taylor]: Taking taylor expansion of z in y 1.058 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.058 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.059 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x 1.059 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 1.059 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 1.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.059 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 1.059 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.059 * [taylor]: Taking taylor expansion of y in x 1.059 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.059 * [taylor]: Taking taylor expansion of z in x 1.060 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.060 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.061 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x 1.061 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 1.061 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 1.061 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.061 * [taylor]: Taking taylor expansion of x in x 1.061 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 1.061 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.061 * [taylor]: Taking taylor expansion of y in x 1.061 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.061 * [taylor]: Taking taylor expansion of z in x 1.062 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.062 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.064 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y 1.064 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 1.064 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.064 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.064 * [taylor]: Taking taylor expansion of y in y 1.064 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.064 * [taylor]: Taking taylor expansion of z in y 1.065 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.065 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.066 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z 1.066 * [taylor]: Taking taylor expansion of z in z 1.066 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.066 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.067 * [taylor]: Taking taylor expansion of 0 in y 1.068 * [taylor]: Taking taylor expansion of 0 in z 1.068 * [taylor]: Taking taylor expansion of 0 in z 1.074 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y 1.074 * [taylor]: Taking taylor expansion of 1/2 in y 1.074 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 1.074 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 1.074 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 1.074 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.074 * [taylor]: Taking taylor expansion of y in y 1.074 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.074 * [taylor]: Taking taylor expansion of z in y 1.075 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.075 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.077 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 1.077 * [taylor]: Taking taylor expansion of 1/2 in z 1.077 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 1.077 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.077 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.077 * [taylor]: Taking taylor expansion of z in z 1.079 * [taylor]: Taking taylor expansion of 0 in z 1.082 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 1.082 * [taylor]: Taking taylor expansion of 1/2 in z 1.082 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 1.082 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.082 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.083 * [taylor]: Taking taylor expansion of z in z 1.088 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0 1.088 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 1.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 1.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.088 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.088 * [taylor]: Taking taylor expansion of x in z 1.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 1.089 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.089 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.089 * [taylor]: Taking taylor expansion of z in z 1.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.089 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.089 * [taylor]: Taking taylor expansion of y in z 1.092 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.092 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.093 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 1.093 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.093 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.093 * [taylor]: Taking taylor expansion of x in y 1.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.093 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.093 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.093 * [taylor]: Taking taylor expansion of z in y 1.094 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.094 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.094 * [taylor]: Taking taylor expansion of y in y 1.097 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.097 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.098 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 1.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.098 * [taylor]: Taking taylor expansion of x in x 1.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.098 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.098 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.098 * [taylor]: Taking taylor expansion of z in x 1.099 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.099 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.099 * [taylor]: Taking taylor expansion of y in x 1.101 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.101 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.102 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 1.102 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.102 * [taylor]: Taking taylor expansion of x in x 1.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.102 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.102 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.102 * [taylor]: Taking taylor expansion of z in x 1.103 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.103 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.103 * [taylor]: Taking taylor expansion of y in x 1.105 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.105 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.106 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.106 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.108 * [taylor]: Taking taylor expansion of 0 in y 1.108 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.108 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.113 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 1.113 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 1.113 * [taylor]: Taking taylor expansion of 1/2 in y 1.114 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 1.114 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.114 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.114 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.114 * [taylor]: Taking taylor expansion of z in y 1.115 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 1.115 * [taylor]: Taking taylor expansion of 1/2 in y 1.115 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 1.115 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.115 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.116 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.116 * [taylor]: Taking taylor expansion of y in y 1.119 * [taylor]: Taking taylor expansion of 0 in z 1.119 * [taylor]: Taking taylor expansion of 0 in z 1.119 * [taylor]: Taking taylor expansion of 0 in z 1.124 * [taylor]: Taking taylor expansion of 0 in y 1.128 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 1.128 * [taylor]: Taking taylor expansion of 1/2 in z 1.128 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 1.128 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.128 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.129 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.129 * [taylor]: Taking taylor expansion of z in z 1.131 * [taylor]: Taking taylor expansion of 0 in z 1.132 * [taylor]: Taking taylor expansion of 0 in z 1.139 * [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 1.139 * [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 1.139 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 1.139 * [taylor]: Taking taylor expansion of 1/8 in y 1.139 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 1.139 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.139 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.140 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.140 * [taylor]: Taking taylor expansion of z in y 1.141 * [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 1.141 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 1.141 * [taylor]: Taking taylor expansion of 1/4 in y 1.141 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 1.141 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.141 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.142 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.142 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.142 * [taylor]: Taking taylor expansion of z in y 1.142 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.142 * [taylor]: Taking taylor expansion of y in y 1.143 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 1.143 * [taylor]: Taking taylor expansion of 1/8 in y 1.143 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 1.143 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.143 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.144 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.144 * [taylor]: Taking taylor expansion of y in y 1.163 * [taylor]: Taking taylor expansion of 0 in z 1.163 * [taylor]: Taking taylor expansion of 0 in z 1.167 * [taylor]: Taking taylor expansion of 0 in z 1.168 * [taylor]: Taking taylor expansion of 0 in z 1.168 * [taylor]: Taking taylor expansion of 0 in z 1.172 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0 1.173 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 1.173 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 1.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.173 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.173 * [taylor]: Taking taylor expansion of x in z 1.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 1.173 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.173 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.173 * [taylor]: Taking taylor expansion of z in z 1.174 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.174 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.174 * [taylor]: Taking taylor expansion of y in z 1.176 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.176 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.177 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 1.177 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.177 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.177 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.177 * [taylor]: Taking taylor expansion of x in y 1.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.178 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.178 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.178 * [taylor]: Taking taylor expansion of z in y 1.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.178 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.178 * [taylor]: Taking taylor expansion of y in y 1.181 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.181 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.182 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 1.182 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.182 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.182 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.182 * [taylor]: Taking taylor expansion of x in x 1.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.183 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.183 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.183 * [taylor]: Taking taylor expansion of z in x 1.183 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.183 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.183 * [taylor]: Taking taylor expansion of y in x 1.185 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.185 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.186 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 1.186 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.186 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.186 * [taylor]: Taking taylor expansion of x in x 1.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.187 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.187 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.187 * [taylor]: Taking taylor expansion of z in x 1.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.187 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.187 * [taylor]: Taking taylor expansion of y in x 1.189 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.189 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.191 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.191 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.192 * [taylor]: Taking taylor expansion of 0 in y 1.192 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.192 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.197 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 1.197 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 1.198 * [taylor]: Taking taylor expansion of 1/2 in y 1.198 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 1.198 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.198 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.198 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.198 * [taylor]: Taking taylor expansion of z in y 1.199 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 1.199 * [taylor]: Taking taylor expansion of 1/2 in y 1.199 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 1.199 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.199 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.200 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.200 * [taylor]: Taking taylor expansion of y in y 1.202 * [taylor]: Taking taylor expansion of 0 in z 1.202 * [taylor]: Taking taylor expansion of 0 in z 1.202 * [taylor]: Taking taylor expansion of 0 in z 1.207 * [taylor]: Taking taylor expansion of 0 in y 1.211 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 1.211 * [taylor]: Taking taylor expansion of 1/2 in z 1.211 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 1.211 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.211 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.212 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.212 * [taylor]: Taking taylor expansion of z in z 1.215 * [taylor]: Taking taylor expansion of 0 in z 1.216 * [taylor]: Taking taylor expansion of 0 in z 1.223 * [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 1.223 * [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 1.223 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 1.223 * [taylor]: Taking taylor expansion of 1/8 in y 1.223 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 1.223 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.223 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.224 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.224 * [taylor]: Taking taylor expansion of z in y 1.225 * [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 1.225 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 1.225 * [taylor]: Taking taylor expansion of 1/4 in y 1.225 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 1.225 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.225 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.226 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.226 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.226 * [taylor]: Taking taylor expansion of z in y 1.226 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.226 * [taylor]: Taking taylor expansion of y in y 1.226 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 1.226 * [taylor]: Taking taylor expansion of 1/8 in y 1.226 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 1.227 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.227 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.227 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.227 * [taylor]: Taking taylor expansion of y in y 1.239 * [taylor]: Taking taylor expansion of 0 in z 1.239 * [taylor]: Taking taylor expansion of 0 in z 1.243 * [taylor]: Taking taylor expansion of 0 in z 1.243 * [taylor]: Taking taylor expansion of 0 in z 1.244 * [taylor]: Taking taylor expansion of 0 in z 1.247 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.248 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in (x y z) around 0 1.248 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 1.248 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.248 * [taylor]: Taking taylor expansion of x in z 1.248 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 1.248 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.248 * [taylor]: Taking taylor expansion of y in z 1.248 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.248 * [taylor]: Taking taylor expansion of z in z 1.248 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 1.248 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.248 * [taylor]: Taking taylor expansion of x in y 1.248 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.248 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.248 * [taylor]: Taking taylor expansion of y in y 1.248 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.248 * [taylor]: Taking taylor expansion of z in y 1.248 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 1.248 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.248 * [taylor]: Taking taylor expansion of x in x 1.248 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 1.248 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.248 * [taylor]: Taking taylor expansion of y in x 1.248 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.248 * [taylor]: Taking taylor expansion of z in x 1.248 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 1.248 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.248 * [taylor]: Taking taylor expansion of x in x 1.248 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 1.248 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.248 * [taylor]: Taking taylor expansion of y in x 1.248 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.248 * [taylor]: Taking taylor expansion of z in x 1.249 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.249 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.249 * [taylor]: Taking taylor expansion of y in y 1.249 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.249 * [taylor]: Taking taylor expansion of z in y 1.249 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.249 * [taylor]: Taking taylor expansion of z in z 1.250 * [taylor]: Taking taylor expansion of 0 in y 1.250 * [taylor]: Taking taylor expansion of 0 in z 1.250 * [taylor]: Taking taylor expansion of 0 in z 1.252 * [taylor]: Taking taylor expansion of 1 in y 1.252 * [taylor]: Taking taylor expansion of 1 in z 1.252 * [taylor]: Taking taylor expansion of 0 in z 1.253 * [taylor]: Taking taylor expansion of 1 in z 1.261 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 1.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 1.261 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.261 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.261 * [taylor]: Taking taylor expansion of x in z 1.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 1.261 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.261 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.261 * [taylor]: Taking taylor expansion of z in z 1.262 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.262 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.262 * [taylor]: Taking taylor expansion of y in z 1.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.262 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.262 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.262 * [taylor]: Taking taylor expansion of x in y 1.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.262 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.262 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.262 * [taylor]: Taking taylor expansion of z in y 1.263 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.263 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.263 * [taylor]: Taking taylor expansion of y in y 1.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.263 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.263 * [taylor]: Taking taylor expansion of x in x 1.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.264 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.264 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.264 * [taylor]: Taking taylor expansion of z in x 1.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.264 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.264 * [taylor]: Taking taylor expansion of y in x 1.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.264 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.264 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.264 * [taylor]: Taking taylor expansion of x in x 1.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.265 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.265 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.265 * [taylor]: Taking taylor expansion of z in x 1.265 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.265 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.265 * [taylor]: Taking taylor expansion of y in x 1.265 * [taylor]: Taking taylor expansion of 1 in y 1.266 * [taylor]: Taking taylor expansion of 0 in y 1.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.268 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.268 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.268 * [taylor]: Taking taylor expansion of z in y 1.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.268 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.268 * [taylor]: Taking taylor expansion of y in y 1.269 * [taylor]: Taking taylor expansion of 1 in z 1.269 * [taylor]: Taking taylor expansion of 1 in z 1.271 * [taylor]: Taking taylor expansion of 0 in y 1.272 * [taylor]: Taking taylor expansion of 0 in z 1.272 * [taylor]: Taking taylor expansion of 0 in z 1.273 * [taylor]: Taking taylor expansion of 0 in z 1.276 * [taylor]: Taking taylor expansion of 0 in y 1.277 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.277 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.277 * [taylor]: Taking taylor expansion of z in z 1.278 * [taylor]: Taking taylor expansion of 0 in z 1.278 * [taylor]: Taking taylor expansion of 0 in z 1.279 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 1.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 1.279 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.279 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.279 * [taylor]: Taking taylor expansion of x in z 1.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 1.279 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.279 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.279 * [taylor]: Taking taylor expansion of z in z 1.280 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.280 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.280 * [taylor]: Taking taylor expansion of y in z 1.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.280 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.280 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.280 * [taylor]: Taking taylor expansion of x in y 1.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.280 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.280 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.280 * [taylor]: Taking taylor expansion of z in y 1.280 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.280 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.280 * [taylor]: Taking taylor expansion of y in y 1.281 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.281 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.281 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.281 * [taylor]: Taking taylor expansion of x in x 1.281 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.282 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.282 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.282 * [taylor]: Taking taylor expansion of z in x 1.282 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.282 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.282 * [taylor]: Taking taylor expansion of y in x 1.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.282 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.282 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.282 * [taylor]: Taking taylor expansion of x in x 1.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.282 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.282 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.282 * [taylor]: Taking taylor expansion of z in x 1.283 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.283 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.283 * [taylor]: Taking taylor expansion of y in x 1.283 * [taylor]: Taking taylor expansion of 1 in y 1.284 * [taylor]: Taking taylor expansion of 0 in y 1.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.286 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.286 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.286 * [taylor]: Taking taylor expansion of z in y 1.286 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.286 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.286 * [taylor]: Taking taylor expansion of y in y 1.287 * [taylor]: Taking taylor expansion of 1 in z 1.287 * [taylor]: Taking taylor expansion of 1 in z 1.289 * [taylor]: Taking taylor expansion of 0 in y 1.290 * [taylor]: Taking taylor expansion of 0 in z 1.290 * [taylor]: Taking taylor expansion of 0 in z 1.290 * [taylor]: Taking taylor expansion of 0 in z 1.293 * [taylor]: Taking taylor expansion of 0 in y 1.294 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.294 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.294 * [taylor]: Taking taylor expansion of z in z 1.295 * [taylor]: Taking taylor expansion of 0 in z 1.295 * [taylor]: Taking taylor expansion of 0 in z 1.296 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.296 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 1.296 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.296 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.296 * [taylor]: Taking taylor expansion of x in y 1.296 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.296 * [taylor]: Taking taylor expansion of y in y 1.296 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.296 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.296 * [taylor]: Taking taylor expansion of x in x 1.296 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.296 * [taylor]: Taking taylor expansion of y in x 1.296 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.296 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.296 * [taylor]: Taking taylor expansion of x in x 1.296 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.296 * [taylor]: Taking taylor expansion of y in x 1.296 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.296 * [taylor]: Taking taylor expansion of y in y 1.297 * [taylor]: Taking taylor expansion of 0 in y 1.297 * [taylor]: Taking taylor expansion of 1 in y 1.299 * [taylor]: Taking taylor expansion of 0 in y 1.301 * [taylor]: Taking taylor expansion of 0 in y 1.301 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.301 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.301 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.301 * [taylor]: Taking taylor expansion of x in y 1.302 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.302 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.302 * [taylor]: Taking taylor expansion of y in y 1.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.302 * [taylor]: Taking taylor expansion of x in x 1.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.303 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.303 * [taylor]: Taking taylor expansion of y in x 1.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.303 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.303 * [taylor]: Taking taylor expansion of x in x 1.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.303 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.303 * [taylor]: Taking taylor expansion of y in x 1.304 * [taylor]: Taking taylor expansion of 1 in y 1.305 * [taylor]: Taking taylor expansion of 0 in y 1.306 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.306 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.306 * [taylor]: Taking taylor expansion of y in y 1.309 * [taylor]: Taking taylor expansion of 0 in y 1.311 * [taylor]: Taking taylor expansion of 0 in y 1.313 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.313 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.313 * [taylor]: Taking taylor expansion of x in y 1.313 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.313 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.313 * [taylor]: Taking taylor expansion of y in y 1.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.314 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.314 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.314 * [taylor]: Taking taylor expansion of x in x 1.314 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.314 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.314 * [taylor]: Taking taylor expansion of y in x 1.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.314 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.314 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.314 * [taylor]: Taking taylor expansion of x in x 1.315 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.315 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.315 * [taylor]: Taking taylor expansion of y in x 1.315 * [taylor]: Taking taylor expansion of 1 in y 1.317 * [taylor]: Taking taylor expansion of 0 in y 1.318 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.318 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.318 * [taylor]: Taking taylor expansion of y in y 1.320 * [taylor]: Taking taylor expansion of 0 in y 1.323 * [taylor]: Taking taylor expansion of 0 in y 1.324 * * * [progress]: simplifying candidates 1.326 * [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) (* 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(cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0))) (* (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1)) (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (/ 1 3.0))) (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (/ 1 3.0))) (expm1 (+ (+ (* x x) (* y y)) (* z z))) (log1p (+ (+ (* x x) (* y y)) (* z z))) (* (* (exp (* x x)) (exp (* y y))) (exp (* z z))) (* (exp (+ (* x x) (* y y))) (exp (* z z))) (log (+ (+ (* x x) (* y y)) (* z z))) (exp (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (+ (+ (* x x) (* y y)) (* z z))) (* (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))) (- (+ (* x x) (* y y)) (* z z)) (+ (* y y) (* z z)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) z x (* -1 x) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 1.333 * * [simplify]: iteration 0 : 372 enodes (cost 1017 ) 1.341 * * [simplify]: iteration 1 : 1570 enodes (cost 959 ) 1.368 * * [simplify]: iteration 2 : 5001 enodes (cost 931 ) 1.373 * [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 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(fma (* (pow z 4) z) z (pow (fma x x (* y y)) 3)) (fma (pow z 2) (- (pow z 2) (fma x x (* y y))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))) (* (fma x x (- (pow y 2) (pow z 2))) (fma x x (fma y y (* z z)))) (fma x x (- (pow y 2) (pow z 2))) (fma y y (* z z)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (fma x x (* y y)) 3) (hypot x y) (hypot x y) (fma (* (pow y 4) y) y (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* x x) (* y y)) z x (* -1 x) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) (fma x x (fma y y (* z z))) (fma x x (fma y y (* z z))) (fma x x (fma y y (* z z))) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 1.373 * * * [progress]: adding candidates to table 1.714 * * [progress]: iteration 3 / 4 1.714 * * * [progress]: picking best candidate 1.724 * * * * [pick]: Picked # 1.725 * * * [progress]: localizing error 1.742 * * * [progress]: generating rewritten candidates 1.742 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 1.746 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 1.757 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 1) 1.762 * * * [progress]: generating series expansions 1.762 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 1.763 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.763 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.763 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.763 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.763 * [taylor]: Taking taylor expansion of x in y 1.763 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.763 * [taylor]: Taking taylor expansion of y in y 1.764 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.764 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.764 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.764 * [taylor]: Taking taylor expansion of x in x 1.764 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.764 * [taylor]: Taking taylor expansion of y in x 1.765 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.765 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.765 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.765 * [taylor]: Taking taylor expansion of x in x 1.765 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.765 * [taylor]: Taking taylor expansion of y in x 1.766 * [taylor]: Taking taylor expansion of y in y 1.766 * [taylor]: Taking taylor expansion of 0 in y 1.767 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.767 * [taylor]: Taking taylor expansion of 1/2 in y 1.767 * [taylor]: Taking taylor expansion of y in y 1.770 * [taylor]: Taking taylor expansion of 0 in y 1.770 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.771 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.771 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.771 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.771 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.771 * [taylor]: Taking taylor expansion of x in y 1.771 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.771 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.771 * [taylor]: Taking taylor expansion of y in y 1.774 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.774 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.774 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.774 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.774 * [taylor]: Taking taylor expansion of x in x 1.774 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.774 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.774 * [taylor]: Taking taylor expansion of y in x 1.777 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.777 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.777 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.777 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.777 * [taylor]: Taking taylor expansion of x in x 1.777 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.777 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.777 * [taylor]: Taking taylor expansion of y in x 1.780 * [taylor]: Taking taylor expansion of 1 in y 1.780 * [taylor]: Taking taylor expansion of 0 in y 1.783 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.783 * [taylor]: Taking taylor expansion of 1/2 in y 1.783 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.783 * [taylor]: Taking taylor expansion of y in y 1.786 * [taylor]: Taking taylor expansion of 0 in y 1.788 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.788 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.788 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.788 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.788 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.788 * [taylor]: Taking taylor expansion of x in y 1.788 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.788 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.788 * [taylor]: Taking taylor expansion of y in y 1.791 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.791 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.791 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.791 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.791 * [taylor]: Taking taylor expansion of x in x 1.792 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.792 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.792 * [taylor]: Taking taylor expansion of y in x 1.794 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.794 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.794 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.794 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.794 * [taylor]: Taking taylor expansion of x in x 1.795 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.795 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.795 * [taylor]: Taking taylor expansion of y in x 1.797 * [taylor]: Taking taylor expansion of 1 in y 1.797 * [taylor]: Taking taylor expansion of 0 in y 1.799 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.799 * [taylor]: Taking taylor expansion of 1/2 in y 1.799 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.799 * [taylor]: Taking taylor expansion of y in y 1.803 * [taylor]: Taking taylor expansion of 0 in y 1.804 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.805 * [approximate]: Taking taylor expansion of (* (hypot (sqrt (+ (pow x 2) (pow y 2))) z) (sqrt 0.3333333333333333)) in (x y z) around 0 1.805 * [taylor]: Taking taylor expansion of (* (hypot (sqrt (+ (pow x 2) (pow y 2))) z) (sqrt 0.3333333333333333)) in z 1.805 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in z 1.806 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 1.806 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in z 1.806 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in z 1.806 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 1.806 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 1.806 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.806 * [taylor]: Taking taylor expansion of x in z 1.806 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.806 * [taylor]: Taking taylor expansion of y in z 1.807 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 1.807 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 1.807 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.807 * [taylor]: Taking taylor expansion of x in z 1.807 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.807 * [taylor]: Taking taylor expansion of y in z 1.808 * [taylor]: Taking taylor expansion of (* z z) in z 1.808 * [taylor]: Taking taylor expansion of z in z 1.808 * [taylor]: Taking taylor expansion of z in z 1.810 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.810 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.810 * [taylor]: Taking taylor expansion of (* (hypot (sqrt (+ (pow x 2) (pow y 2))) z) (sqrt 0.3333333333333333)) in y 1.811 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in y 1.811 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 1.811 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in y 1.811 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in y 1.811 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.811 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.811 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.811 * [taylor]: Taking taylor expansion of x in y 1.811 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.811 * [taylor]: Taking taylor expansion of y in y 1.811 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.811 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.811 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.811 * [taylor]: Taking taylor expansion of x in y 1.812 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.812 * [taylor]: Taking taylor expansion of y in y 1.812 * [taylor]: Taking taylor expansion of (* z z) in y 1.812 * [taylor]: Taking taylor expansion of z in y 1.812 * [taylor]: Taking taylor expansion of z in y 1.813 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.813 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.814 * [taylor]: Taking taylor expansion of (* (hypot (sqrt (+ (pow x 2) (pow y 2))) z) (sqrt 0.3333333333333333)) in x 1.814 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 1.814 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 1.814 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 1.814 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 1.814 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.814 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.814 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.814 * [taylor]: Taking taylor expansion of x in x 1.814 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.814 * [taylor]: Taking taylor expansion of y in x 1.815 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.815 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.815 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.815 * [taylor]: Taking taylor expansion of x in x 1.815 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.815 * [taylor]: Taking taylor expansion of y in x 1.815 * [taylor]: Taking taylor expansion of (* z z) in x 1.816 * [taylor]: Taking taylor expansion of z in x 1.816 * [taylor]: Taking taylor expansion of z in x 1.816 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.816 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.817 * [taylor]: Taking taylor expansion of (* (hypot (sqrt (+ (pow x 2) (pow y 2))) z) (sqrt 0.3333333333333333)) in x 1.817 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 1.817 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 1.817 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 1.817 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 1.817 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.817 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.818 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.818 * [taylor]: Taking taylor expansion of x in x 1.818 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.818 * [taylor]: Taking taylor expansion of y in x 1.818 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.818 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.818 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.818 * [taylor]: Taking taylor expansion of x in x 1.818 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.818 * [taylor]: Taking taylor expansion of y in x 1.819 * [taylor]: Taking taylor expansion of (* z z) in x 1.819 * [taylor]: Taking taylor expansion of z in x 1.819 * [taylor]: Taking taylor expansion of z in x 1.820 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.820 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.821 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y 1.821 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 1.821 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.821 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.821 * [taylor]: Taking taylor expansion of y in y 1.821 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.821 * [taylor]: Taking taylor expansion of z in y 1.822 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.822 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.823 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z 1.823 * [taylor]: Taking taylor expansion of z in z 1.823 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.823 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.825 * [taylor]: Taking taylor expansion of 0 in y 1.825 * [taylor]: Taking taylor expansion of 0 in z 1.825 * [taylor]: Taking taylor expansion of 0 in z 1.839 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y 1.840 * [taylor]: Taking taylor expansion of 1/2 in y 1.840 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 1.840 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 1.840 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 1.840 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.840 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.840 * [taylor]: Taking taylor expansion of y in y 1.840 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.840 * [taylor]: Taking taylor expansion of z in y 1.841 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.841 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.843 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 1.843 * [taylor]: Taking taylor expansion of 1/2 in z 1.843 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 1.843 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.843 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.844 * [taylor]: Taking taylor expansion of z in z 1.846 * [taylor]: Taking taylor expansion of 0 in z 1.849 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 1.849 * [taylor]: Taking taylor expansion of 1/2 in z 1.849 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 1.849 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.849 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.850 * [taylor]: Taking taylor expansion of z in z 1.854 * [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 1.854 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z))) in z 1.854 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.855 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.855 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in z 1.856 * [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)))) 1.856 * [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 1.856 * [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 1.856 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 1.856 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 1.856 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.856 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.856 * [taylor]: Taking taylor expansion of x in z 1.856 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.856 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.856 * [taylor]: Taking taylor expansion of y in z 1.857 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 1.857 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 1.857 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.857 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.857 * [taylor]: Taking taylor expansion of x in z 1.857 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.857 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.858 * [taylor]: Taking taylor expansion of y in z 1.859 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 1.859 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.859 * [taylor]: Taking taylor expansion of z in z 1.859 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.859 * [taylor]: Taking taylor expansion of z in z 1.862 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z))) in y 1.862 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.863 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.863 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in y 1.864 * [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)))) 1.864 * [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 1.864 * [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 1.864 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.864 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.864 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.864 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.864 * [taylor]: Taking taylor expansion of x in y 1.864 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.864 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.864 * [taylor]: Taking taylor expansion of y in y 1.867 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.867 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.867 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.867 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.867 * [taylor]: Taking taylor expansion of x in y 1.867 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.867 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.867 * [taylor]: Taking taylor expansion of y in y 1.870 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 1.870 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.870 * [taylor]: Taking taylor expansion of z in y 1.870 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.870 * [taylor]: Taking taylor expansion of z in y 1.872 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z))) in x 1.872 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.872 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.873 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 1.873 * [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)))) 1.873 * [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 1.873 * [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 1.873 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.873 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.873 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.873 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.873 * [taylor]: Taking taylor expansion of x in x 1.873 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.873 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.873 * [taylor]: Taking taylor expansion of y in x 1.876 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.876 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.876 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.876 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.876 * [taylor]: Taking taylor expansion of x in x 1.876 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.876 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.876 * [taylor]: Taking taylor expansion of y in x 1.879 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.879 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.879 * [taylor]: Taking taylor expansion of z in x 1.879 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.879 * [taylor]: Taking taylor expansion of z in x 1.881 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z))) in x 1.881 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.881 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.882 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 1.882 * [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)))) 1.882 * [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 1.882 * [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 1.882 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.882 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.882 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.882 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.882 * [taylor]: Taking taylor expansion of x in x 1.883 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.883 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.883 * [taylor]: Taking taylor expansion of y in x 1.885 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.885 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.885 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.885 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.885 * [taylor]: Taking taylor expansion of x in x 1.886 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.886 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.886 * [taylor]: Taking taylor expansion of y in x 1.888 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.888 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.888 * [taylor]: Taking taylor expansion of z in x 1.888 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.888 * [taylor]: Taking taylor expansion of z in x 1.891 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.891 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.892 * [taylor]: Taking taylor expansion of 0 in y 1.892 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.892 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.901 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 1.901 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 1.901 * [taylor]: Taking taylor expansion of 1/2 in y 1.901 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 1.901 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.901 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.902 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.902 * [taylor]: Taking taylor expansion of z in y 1.902 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 1.902 * [taylor]: Taking taylor expansion of 1/2 in y 1.902 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 1.902 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.902 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.903 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.903 * [taylor]: Taking taylor expansion of y in y 1.906 * [taylor]: Taking taylor expansion of 0 in z 1.906 * [taylor]: Taking taylor expansion of 0 in z 1.906 * [taylor]: Taking taylor expansion of 0 in z 1.914 * [taylor]: Taking taylor expansion of 0 in y 1.918 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 1.918 * [taylor]: Taking taylor expansion of 1/2 in z 1.918 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 1.918 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.918 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.919 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.919 * [taylor]: Taking taylor expansion of z in z 1.921 * [taylor]: Taking taylor expansion of 0 in z 1.922 * [taylor]: Taking taylor expansion of 0 in z 1.934 * [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 1.934 * [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 1.934 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 1.934 * [taylor]: Taking taylor expansion of 1/8 in y 1.934 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 1.935 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.935 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.935 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.935 * [taylor]: Taking taylor expansion of z in y 1.936 * [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 1.936 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 1.936 * [taylor]: Taking taylor expansion of 1/4 in y 1.936 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 1.936 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.936 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.937 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.937 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.937 * [taylor]: Taking taylor expansion of z in y 1.937 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.937 * [taylor]: Taking taylor expansion of y in y 1.938 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 1.938 * [taylor]: Taking taylor expansion of 1/8 in y 1.938 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 1.938 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.938 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.946 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.946 * [taylor]: Taking taylor expansion of y in y 1.957 * [taylor]: Taking taylor expansion of 0 in z 1.957 * [taylor]: Taking taylor expansion of 0 in z 1.962 * [taylor]: Taking taylor expansion of 0 in z 1.962 * [taylor]: Taking taylor expansion of 0 in z 1.963 * [taylor]: Taking taylor expansion of 0 in z 1.967 * [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 1.967 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z))) in z 1.967 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.967 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.968 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in z 1.968 * [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)))) 1.968 * [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 1.968 * [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 1.968 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 1.968 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 1.968 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.968 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.968 * [taylor]: Taking taylor expansion of x in z 1.968 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.969 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.969 * [taylor]: Taking taylor expansion of y in z 1.970 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 1.970 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 1.970 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.970 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.970 * [taylor]: Taking taylor expansion of x in z 1.970 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.970 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.970 * [taylor]: Taking taylor expansion of y in z 1.971 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 1.972 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.972 * [taylor]: Taking taylor expansion of -1 in z 1.972 * [taylor]: Taking taylor expansion of z in z 1.972 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.972 * [taylor]: Taking taylor expansion of -1 in z 1.972 * [taylor]: Taking taylor expansion of z in z 1.975 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z))) in y 1.975 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.975 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.976 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in y 1.976 * [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)))) 1.976 * [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 1.976 * [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 1.976 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.976 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.976 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.976 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.977 * [taylor]: Taking taylor expansion of x in y 1.977 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.977 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.977 * [taylor]: Taking taylor expansion of y in y 1.979 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.979 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.979 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.979 * [taylor]: Taking taylor expansion of x in y 1.980 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.980 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.980 * [taylor]: Taking taylor expansion of y in y 1.983 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 1.983 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.983 * [taylor]: Taking taylor expansion of -1 in y 1.983 * [taylor]: Taking taylor expansion of z in y 1.983 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.983 * [taylor]: Taking taylor expansion of -1 in y 1.983 * [taylor]: Taking taylor expansion of z in y 1.985 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z))) in x 1.985 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.985 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.986 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 1.986 * [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)))) 1.986 * [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 1.986 * [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 1.986 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.986 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.986 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.986 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.986 * [taylor]: Taking taylor expansion of x in x 1.987 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.987 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.987 * [taylor]: Taking taylor expansion of y in x 1.989 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.989 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.989 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.989 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.989 * [taylor]: Taking taylor expansion of x in x 1.989 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.990 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.990 * [taylor]: Taking taylor expansion of y in x 1.992 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 1.992 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.992 * [taylor]: Taking taylor expansion of -1 in x 1.992 * [taylor]: Taking taylor expansion of z in x 1.992 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.992 * [taylor]: Taking taylor expansion of -1 in x 1.992 * [taylor]: Taking taylor expansion of z in x 1.994 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z))) in x 1.994 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.994 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.995 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 1.995 * [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)))) 1.995 * [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 1.995 * [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 1.995 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.995 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.995 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.995 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.995 * [taylor]: Taking taylor expansion of x in x 1.996 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.996 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.996 * [taylor]: Taking taylor expansion of y in x 1.998 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.998 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.998 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.998 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.998 * [taylor]: Taking taylor expansion of x in x 1.998 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.998 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.998 * [taylor]: Taking taylor expansion of y in x 2.000 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 2.000 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.000 * [taylor]: Taking taylor expansion of -1 in x 2.001 * [taylor]: Taking taylor expansion of z in x 2.001 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.001 * [taylor]: Taking taylor expansion of -1 in x 2.001 * [taylor]: Taking taylor expansion of z in x 2.003 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.003 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.004 * [taylor]: Taking taylor expansion of 0 in y 2.004 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.004 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.012 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 2.012 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 2.012 * [taylor]: Taking taylor expansion of 1/2 in y 2.012 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 2.012 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.012 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.013 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.013 * [taylor]: Taking taylor expansion of z in y 2.013 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 2.014 * [taylor]: Taking taylor expansion of 1/2 in y 2.014 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 2.014 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.014 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.014 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.014 * [taylor]: Taking taylor expansion of y in y 2.017 * [taylor]: Taking taylor expansion of 0 in z 2.017 * [taylor]: Taking taylor expansion of 0 in z 2.017 * [taylor]: Taking taylor expansion of 0 in z 2.024 * [taylor]: Taking taylor expansion of 0 in y 2.028 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 2.028 * [taylor]: Taking taylor expansion of 1/2 in z 2.028 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 2.028 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.028 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.029 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.029 * [taylor]: Taking taylor expansion of z in z 2.031 * [taylor]: Taking taylor expansion of 0 in z 2.032 * [taylor]: Taking taylor expansion of 0 in z 2.050 * [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 2.050 * [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 2.050 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 2.050 * [taylor]: Taking taylor expansion of 1/8 in y 2.050 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 2.051 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.051 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.051 * [taylor]: Taking taylor expansion of (pow z 4) in y 2.051 * [taylor]: Taking taylor expansion of z in y 2.052 * [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 2.052 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 2.052 * [taylor]: Taking taylor expansion of 1/4 in y 2.052 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 2.052 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.052 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.053 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 2.053 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.053 * [taylor]: Taking taylor expansion of z in y 2.053 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.053 * [taylor]: Taking taylor expansion of y in y 2.054 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 2.054 * [taylor]: Taking taylor expansion of 1/8 in y 2.054 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 2.054 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.054 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.055 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.055 * [taylor]: Taking taylor expansion of y in y 2.066 * [taylor]: Taking taylor expansion of 0 in z 2.066 * [taylor]: Taking taylor expansion of 0 in z 2.070 * [taylor]: Taking taylor expansion of 0 in z 2.070 * [taylor]: Taking taylor expansion of 0 in z 2.071 * [taylor]: Taking taylor expansion of 0 in z 2.074 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 1) 2.075 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 2.075 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.075 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.075 * [taylor]: Taking taylor expansion of x in y 2.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.075 * [taylor]: Taking taylor expansion of y in y 2.075 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.075 * [taylor]: Taking taylor expansion of x in x 2.075 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.075 * [taylor]: Taking taylor expansion of y in x 2.075 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.075 * [taylor]: Taking taylor expansion of x in x 2.075 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.075 * [taylor]: Taking taylor expansion of y in x 2.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.075 * [taylor]: Taking taylor expansion of y in y 2.076 * [taylor]: Taking taylor expansion of 0 in y 2.076 * [taylor]: Taking taylor expansion of 1 in y 2.078 * [taylor]: Taking taylor expansion of 0 in y 2.080 * [taylor]: Taking taylor expansion of 0 in y 2.081 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 2.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.081 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.081 * [taylor]: Taking taylor expansion of x in y 2.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.081 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.081 * [taylor]: Taking taylor expansion of y in y 2.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.082 * [taylor]: Taking taylor expansion of x in x 2.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.082 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.082 * [taylor]: Taking taylor expansion of y in x 2.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.083 * [taylor]: Taking taylor expansion of x in x 2.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.083 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.083 * [taylor]: Taking taylor expansion of y in x 2.084 * [taylor]: Taking taylor expansion of 1 in y 2.085 * [taylor]: Taking taylor expansion of 0 in y 2.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.086 * [taylor]: Taking taylor expansion of y in y 2.089 * [taylor]: Taking taylor expansion of 0 in y 2.092 * [taylor]: Taking taylor expansion of 0 in y 2.093 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 2.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.093 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.093 * [taylor]: Taking taylor expansion of x in y 2.094 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.094 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.094 * [taylor]: Taking taylor expansion of y in y 2.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.094 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.094 * [taylor]: Taking taylor expansion of x in x 2.095 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.095 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.095 * [taylor]: Taking taylor expansion of y in x 2.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.095 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.095 * [taylor]: Taking taylor expansion of x in x 2.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.096 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.096 * [taylor]: Taking taylor expansion of y in x 2.096 * [taylor]: Taking taylor expansion of 1 in y 2.097 * [taylor]: Taking taylor expansion of 0 in y 2.099 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.099 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.099 * [taylor]: Taking taylor expansion of y in y 2.101 * [taylor]: Taking taylor expansion of 0 in y 2.105 * [taylor]: Taking taylor expansion of 0 in y 2.107 * * * [progress]: simplifying candidates 2.108 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* x x) (* y y)))) (log1p (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (expm1 (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (log1p (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))) (+ (log (hypot (sqrt (+ (* x x) (* y y))) z)) (log (sqrt (/ 1 3.0)))) (log (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (exp (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (* (* (* (hypot (sqrt (+ (* x x) (* y y))) z) (hypot (sqrt (+ (* x x) (* y y))) z)) (hypot (sqrt (+ (* x x) (* y y))) z)) (* (* (sqrt (/ 1 3.0)) (sqrt (/ 1 3.0))) (sqrt (/ 1 3.0)))) (* (cbrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (cbrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))))) (cbrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (* (* (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (* (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* z z)) (/ 1 3.0)) (sqrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (sqrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt (/ 1 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (* (cbrt (sqrt (/ 1 3.0))) (cbrt (sqrt (/ 1 3.0))))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (* (cbrt (/ 1 3.0)) (cbrt (/ 1 3.0))))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (sqrt (/ 1 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 3.0) (cbrt 3.0))))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ (* (cbrt 1) (cbrt 1)) (sqrt 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ (* (cbrt 1) (cbrt 1)) 1))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ (sqrt 1) (* (cbrt 3.0) (cbrt 3.0))))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ (sqrt 1) 1))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0))))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 (sqrt 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 1))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 1)) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 1)) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (sqrt (/ 1 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) 1) (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 3.0))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 3.0))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 1)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) y x (* -1 x) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 2.114 * * [simplify]: iteration 0 : 282 enodes (cost 602 ) 2.120 * * [simplify]: iteration 1 : 1099 enodes (cost 552 ) 2.142 * * [simplify]: iteration 2 : 4023 enodes (cost 531 ) 2.208 * * [simplify]: iteration 3 : 5001 enodes (cost 530 ) 2.210 * [simplify]: Simplified to: (expm1 (sqrt (+ (* x x) (* y y)))) (log1p (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (hypot x y) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (hypot x y) (hypot (pow y 3) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (expm1 (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (log1p (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))) (log (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (log (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (exp (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (pow (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))) 3) (* (cbrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (cbrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))))) (cbrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (pow (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))) 3) (/ (fma z z (fma x x (* y y))) 3.0) (sqrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (sqrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt (/ 1 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (* (cbrt (sqrt (/ 1 3.0))) (cbrt (sqrt (/ 1 3.0))))) (* (fabs (cbrt (/ 1 3.0))) (hypot (sqrt (+ (* x x) (* y y))) z)) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (sqrt (/ 1 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (fabs (/ (cbrt 1) (cbrt 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ (* (cbrt 1) (cbrt 1)) (sqrt 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (fabs (cbrt 1))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0))))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 (sqrt 3.0)))) (hypot (sqrt (+ (* x x) (* y y))) z) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0))))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 (sqrt 3.0)))) (hypot (sqrt (+ (* x x) (* y y))) z) (hypot (sqrt (+ (* x x) (* y y))) z) (hypot (sqrt (+ (* x x) (* y y))) z) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (sqrt (/ 1 3.0)))) (hypot (sqrt (+ (* x x) (* y y))) z) (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 3.0))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 3.0))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))) (hypot (sqrt (+ (* x x) (* y y))) z) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (hypot x y) 6) (hypot x y) (hypot x y) (fma y (pow y 5) (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* x x) (* y y)) y x (* -1 x) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 2.211 * * * [progress]: adding candidates to table 2.460 * * [progress]: iteration 4 / 4 2.460 * * * [progress]: picking best candidate 2.465 * * * * [pick]: Picked # 2.465 * * * [progress]: localizing error 2.473 * * * [progress]: generating rewritten candidates 2.474 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.487 * * * [progress]: generating series expansions 2.487 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.488 * [approximate]: Taking taylor expansion of (* (hypot (hypot x y) z) (sqrt 0.3333333333333333)) in (x y z) around 0 2.488 * [taylor]: Taking taylor expansion of (* (hypot (hypot x y) z) (sqrt 0.3333333333333333)) in z 2.488 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in z 2.488 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 2.488 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in z 2.488 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z 2.488 * [taylor]: Taking taylor expansion of (hypot x y) in z 2.489 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.489 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 2.489 * [taylor]: Taking taylor expansion of (* x x) in z 2.489 * [taylor]: Taking taylor expansion of x in z 2.489 * [taylor]: Taking taylor expansion of x in z 2.489 * [taylor]: Taking taylor expansion of (* y y) in z 2.489 * [taylor]: Taking taylor expansion of y in z 2.489 * [taylor]: Taking taylor expansion of y in z 2.490 * [taylor]: Taking taylor expansion of (hypot x y) in z 2.490 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.490 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 2.490 * [taylor]: Taking taylor expansion of (* x x) in z 2.490 * [taylor]: Taking taylor expansion of x in z 2.490 * [taylor]: Taking taylor expansion of x in z 2.490 * [taylor]: Taking taylor expansion of (* y y) in z 2.490 * [taylor]: Taking taylor expansion of y in z 2.490 * [taylor]: Taking taylor expansion of y in z 2.491 * [taylor]: Taking taylor expansion of (* z z) in z 2.491 * [taylor]: Taking taylor expansion of z in z 2.491 * [taylor]: Taking taylor expansion of z in z 2.493 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.493 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.494 * [taylor]: Taking taylor expansion of (* (hypot (hypot x y) z) (sqrt 0.3333333333333333)) in y 2.494 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in y 2.494 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 2.494 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in y 2.494 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y 2.494 * [taylor]: Taking taylor expansion of (hypot x y) in y 2.494 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.494 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 2.494 * [taylor]: Taking taylor expansion of (* x x) in y 2.494 * [taylor]: Taking taylor expansion of x in y 2.494 * [taylor]: Taking taylor expansion of x in y 2.494 * [taylor]: Taking taylor expansion of (* y y) in y 2.494 * [taylor]: Taking taylor expansion of y in y 2.494 * [taylor]: Taking taylor expansion of y in y 2.496 * [taylor]: Taking taylor expansion of (hypot x y) in y 2.496 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.496 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 2.496 * [taylor]: Taking taylor expansion of (* x x) in y 2.496 * [taylor]: Taking taylor expansion of x in y 2.496 * [taylor]: Taking taylor expansion of x in y 2.496 * [taylor]: Taking taylor expansion of (* y y) in y 2.496 * [taylor]: Taking taylor expansion of y in y 2.496 * [taylor]: Taking taylor expansion of y in y 2.497 * [taylor]: Taking taylor expansion of (* z z) in y 2.497 * [taylor]: Taking taylor expansion of z in y 2.497 * [taylor]: Taking taylor expansion of z in y 2.498 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.498 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.499 * [taylor]: Taking taylor expansion of (* (hypot (hypot x y) z) (sqrt 0.3333333333333333)) in x 2.499 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 2.499 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 2.499 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 2.499 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 2.499 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.499 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.499 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.499 * [taylor]: Taking taylor expansion of (* x x) in x 2.499 * [taylor]: Taking taylor expansion of x in x 2.499 * [taylor]: Taking taylor expansion of x in x 2.499 * [taylor]: Taking taylor expansion of (* y y) in x 2.499 * [taylor]: Taking taylor expansion of y in x 2.499 * [taylor]: Taking taylor expansion of y in x 2.501 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.501 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.501 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.501 * [taylor]: Taking taylor expansion of (* x x) in x 2.501 * [taylor]: Taking taylor expansion of x in x 2.501 * [taylor]: Taking taylor expansion of x in x 2.501 * [taylor]: Taking taylor expansion of (* y y) in x 2.501 * [taylor]: Taking taylor expansion of y in x 2.501 * [taylor]: Taking taylor expansion of y in x 2.502 * [taylor]: Taking taylor expansion of (* z z) in x 2.502 * [taylor]: Taking taylor expansion of z in x 2.502 * [taylor]: Taking taylor expansion of z in x 2.503 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 2.503 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.504 * [taylor]: Taking taylor expansion of (* (hypot (hypot x y) z) (sqrt 0.3333333333333333)) in x 2.504 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 2.504 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 2.504 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 2.504 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 2.504 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.504 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.504 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.504 * [taylor]: Taking taylor expansion of (* x x) in x 2.505 * [taylor]: Taking taylor expansion of x in x 2.505 * [taylor]: Taking taylor expansion of x in x 2.505 * [taylor]: Taking taylor expansion of (* y y) in x 2.505 * [taylor]: Taking taylor expansion of y in x 2.505 * [taylor]: Taking taylor expansion of y in x 2.506 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.506 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.506 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.506 * [taylor]: Taking taylor expansion of (* x x) in x 2.506 * [taylor]: Taking taylor expansion of x in x 2.506 * [taylor]: Taking taylor expansion of x in x 2.506 * [taylor]: Taking taylor expansion of (* y y) in x 2.506 * [taylor]: Taking taylor expansion of y in x 2.506 * [taylor]: Taking taylor expansion of y in x 2.507 * [taylor]: Taking taylor expansion of (* z z) in x 2.508 * [taylor]: Taking taylor expansion of z in x 2.508 * [taylor]: Taking taylor expansion of z in x 2.508 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 2.508 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.510 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y 2.510 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 2.510 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 2.510 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.510 * [taylor]: Taking taylor expansion of y in y 2.510 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.510 * [taylor]: Taking taylor expansion of z in y 2.511 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.511 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.517 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z 2.517 * [taylor]: Taking taylor expansion of z in z 2.517 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.517 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.519 * [taylor]: Taking taylor expansion of 0 in y 2.519 * [taylor]: Taking taylor expansion of 0 in z 2.520 * [taylor]: Taking taylor expansion of 0 in z 2.528 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y 2.528 * [taylor]: Taking taylor expansion of 1/2 in y 2.528 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 2.528 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 2.528 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 2.528 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 2.528 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.528 * [taylor]: Taking taylor expansion of y in y 2.528 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.529 * [taylor]: Taking taylor expansion of z in y 2.529 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.529 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.531 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 2.531 * [taylor]: Taking taylor expansion of 1/2 in z 2.531 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 2.531 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.531 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.532 * [taylor]: Taking taylor expansion of z in z 2.534 * [taylor]: Taking taylor expansion of 0 in z 2.536 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 2.536 * [taylor]: Taking taylor expansion of 1/2 in z 2.536 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 2.536 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.536 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.537 * [taylor]: Taking taylor expansion of z in z 2.542 * [approximate]: Taking taylor expansion of (* (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) (sqrt 0.3333333333333333)) in (x y z) around 0 2.542 * [taylor]: Taking taylor expansion of (* (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) (sqrt 0.3333333333333333)) in z 2.542 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in z 2.542 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 2.542 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in z 2.542 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z 2.542 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 2.542 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.542 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 2.542 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 2.543 * [taylor]: Taking taylor expansion of (/ 1 x) in z 2.543 * [taylor]: Taking taylor expansion of x in z 2.543 * [taylor]: Taking taylor expansion of (/ 1 x) in z 2.543 * [taylor]: Taking taylor expansion of x in z 2.543 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 2.543 * [taylor]: Taking taylor expansion of (/ 1 y) in z 2.543 * [taylor]: Taking taylor expansion of y in z 2.543 * [taylor]: Taking taylor expansion of (/ 1 y) in z 2.543 * [taylor]: Taking taylor expansion of y in z 2.544 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 2.544 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.544 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 2.544 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 2.544 * [taylor]: Taking taylor expansion of (/ 1 x) in z 2.544 * [taylor]: Taking taylor expansion of x in z 2.544 * [taylor]: Taking taylor expansion of (/ 1 x) in z 2.544 * [taylor]: Taking taylor expansion of x in z 2.544 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 2.544 * [taylor]: Taking taylor expansion of (/ 1 y) in z 2.544 * [taylor]: Taking taylor expansion of y in z 2.544 * [taylor]: Taking taylor expansion of (/ 1 y) in z 2.544 * [taylor]: Taking taylor expansion of y in z 2.546 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 2.546 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.546 * [taylor]: Taking taylor expansion of z in z 2.546 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.546 * [taylor]: Taking taylor expansion of z in z 2.549 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.549 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.550 * [taylor]: Taking taylor expansion of (* (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) (sqrt 0.3333333333333333)) in y 2.550 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y 2.550 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 2.550 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y 2.550 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 2.550 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 2.550 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.550 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 2.550 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.550 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.550 * [taylor]: Taking taylor expansion of x in y 2.550 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.550 * [taylor]: Taking taylor expansion of x in y 2.550 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.550 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.550 * [taylor]: Taking taylor expansion of y in y 2.550 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.551 * [taylor]: Taking taylor expansion of y in y 2.554 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 2.554 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.554 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 2.554 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.554 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.554 * [taylor]: Taking taylor expansion of x in y 2.554 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.554 * [taylor]: Taking taylor expansion of x in y 2.554 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.554 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.554 * [taylor]: Taking taylor expansion of y in y 2.554 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.554 * [taylor]: Taking taylor expansion of y in y 2.557 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 2.557 * [taylor]: Taking taylor expansion of (/ 1 z) in y 2.557 * [taylor]: Taking taylor expansion of z in y 2.557 * [taylor]: Taking taylor expansion of (/ 1 z) in y 2.557 * [taylor]: Taking taylor expansion of z in y 2.559 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.559 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.560 * [taylor]: Taking taylor expansion of (* (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) (sqrt 0.3333333333333333)) in x 2.560 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 2.561 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 2.561 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 2.561 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 2.561 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.561 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.561 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.561 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.561 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.561 * [taylor]: Taking taylor expansion of x in x 2.561 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.561 * [taylor]: Taking taylor expansion of x in x 2.562 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.562 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.562 * [taylor]: Taking taylor expansion of y in x 2.562 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.562 * [taylor]: Taking taylor expansion of y in x 2.565 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.565 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.565 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.565 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.565 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.565 * [taylor]: Taking taylor expansion of x in x 2.565 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.565 * [taylor]: Taking taylor expansion of x in x 2.566 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.566 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.566 * [taylor]: Taking taylor expansion of y in x 2.566 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.566 * [taylor]: Taking taylor expansion of y in x 2.568 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 2.569 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.569 * [taylor]: Taking taylor expansion of z in x 2.569 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.569 * [taylor]: Taking taylor expansion of z in x 2.571 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 2.571 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.571 * [taylor]: Taking taylor expansion of (* (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) (sqrt 0.3333333333333333)) in x 2.571 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 2.572 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 2.572 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 2.572 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 2.572 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.572 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.572 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.572 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.572 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.572 * [taylor]: Taking taylor expansion of x in x 2.572 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.572 * [taylor]: Taking taylor expansion of x in x 2.572 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.572 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.572 * [taylor]: Taking taylor expansion of y in x 2.573 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.573 * [taylor]: Taking taylor expansion of y in x 2.575 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.576 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.576 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.576 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.576 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.576 * [taylor]: Taking taylor expansion of x in x 2.576 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.576 * [taylor]: Taking taylor expansion of x in x 2.576 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.576 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.576 * [taylor]: Taking taylor expansion of y in x 2.576 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.576 * [taylor]: Taking taylor expansion of y in x 2.579 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 2.579 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.579 * [taylor]: Taking taylor expansion of z in x 2.579 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.579 * [taylor]: Taking taylor expansion of z in x 2.581 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 2.581 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.583 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.583 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.584 * [taylor]: Taking taylor expansion of 0 in y 2.584 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.584 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.594 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 2.594 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 2.594 * [taylor]: Taking taylor expansion of 1/2 in y 2.594 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 2.594 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.594 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.595 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.595 * [taylor]: Taking taylor expansion of z in y 2.596 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 2.596 * [taylor]: Taking taylor expansion of 1/2 in y 2.596 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 2.596 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.596 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.596 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.597 * [taylor]: Taking taylor expansion of y in y 2.599 * [taylor]: Taking taylor expansion of 0 in z 2.599 * [taylor]: Taking taylor expansion of 0 in z 2.599 * [taylor]: Taking taylor expansion of 0 in z 2.609 * [taylor]: Taking taylor expansion of 0 in y 2.619 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 2.620 * [taylor]: Taking taylor expansion of 1/2 in z 2.620 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 2.620 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.620 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.621 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.621 * [taylor]: Taking taylor expansion of z in z 2.623 * [taylor]: Taking taylor expansion of 0 in z 2.624 * [taylor]: Taking taylor expansion of 0 in z 2.638 * [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 2.638 * [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 2.638 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 2.638 * [taylor]: Taking taylor expansion of 1/8 in y 2.638 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 2.638 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.638 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.639 * [taylor]: Taking taylor expansion of (pow z 4) in y 2.639 * [taylor]: Taking taylor expansion of z in y 2.639 * [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 2.639 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 2.639 * [taylor]: Taking taylor expansion of 1/4 in y 2.640 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 2.640 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.640 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.640 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 2.640 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.640 * [taylor]: Taking taylor expansion of z in y 2.640 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.640 * [taylor]: Taking taylor expansion of y in y 2.641 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 2.641 * [taylor]: Taking taylor expansion of 1/8 in y 2.641 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 2.641 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.641 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.642 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.642 * [taylor]: Taking taylor expansion of y in y 2.653 * [taylor]: Taking taylor expansion of 0 in z 2.653 * [taylor]: Taking taylor expansion of 0 in z 2.658 * [taylor]: Taking taylor expansion of 0 in z 2.658 * [taylor]: Taking taylor expansion of 0 in z 2.659 * [taylor]: Taking taylor expansion of 0 in z 2.663 * [approximate]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z))) in (x y z) around 0 2.663 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z))) in z 2.663 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.663 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.664 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in z 2.664 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.664 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in z 2.664 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z 2.664 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 2.664 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.664 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 2.664 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 2.664 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.664 * [taylor]: Taking taylor expansion of -1 in z 2.664 * [taylor]: Taking taylor expansion of x in z 2.664 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.664 * [taylor]: Taking taylor expansion of -1 in z 2.664 * [taylor]: Taking taylor expansion of x in z 2.664 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 2.664 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.664 * [taylor]: Taking taylor expansion of -1 in z 2.664 * [taylor]: Taking taylor expansion of y in z 2.665 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.665 * [taylor]: Taking taylor expansion of -1 in z 2.665 * [taylor]: Taking taylor expansion of y in z 2.666 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 2.666 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.666 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 2.666 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 2.666 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.666 * [taylor]: Taking taylor expansion of -1 in z 2.666 * [taylor]: Taking taylor expansion of x in z 2.666 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.666 * [taylor]: Taking taylor expansion of -1 in z 2.666 * [taylor]: Taking taylor expansion of x in z 2.666 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 2.666 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.666 * [taylor]: Taking taylor expansion of -1 in z 2.666 * [taylor]: Taking taylor expansion of y in z 2.666 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.666 * [taylor]: Taking taylor expansion of -1 in z 2.666 * [taylor]: Taking taylor expansion of y in z 2.668 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 2.668 * [taylor]: Taking taylor expansion of (/ -1 z) in z 2.668 * [taylor]: Taking taylor expansion of -1 in z 2.668 * [taylor]: Taking taylor expansion of z in z 2.668 * [taylor]: Taking taylor expansion of (/ -1 z) in z 2.668 * [taylor]: Taking taylor expansion of -1 in z 2.668 * [taylor]: Taking taylor expansion of z in z 2.672 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z))) in y 2.672 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.672 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.673 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y 2.673 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.673 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y 2.673 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y 2.673 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 2.673 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.673 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 2.673 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.673 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.673 * [taylor]: Taking taylor expansion of -1 in y 2.673 * [taylor]: Taking taylor expansion of x in y 2.673 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.673 * [taylor]: Taking taylor expansion of -1 in y 2.673 * [taylor]: Taking taylor expansion of x in y 2.673 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.673 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.673 * [taylor]: Taking taylor expansion of -1 in y 2.673 * [taylor]: Taking taylor expansion of y in y 2.674 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.674 * [taylor]: Taking taylor expansion of -1 in y 2.674 * [taylor]: Taking taylor expansion of y in y 2.677 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 2.677 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.677 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 2.677 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.677 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.677 * [taylor]: Taking taylor expansion of -1 in y 2.677 * [taylor]: Taking taylor expansion of x in y 2.677 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.677 * [taylor]: Taking taylor expansion of -1 in y 2.677 * [taylor]: Taking taylor expansion of x in y 2.677 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.677 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.677 * [taylor]: Taking taylor expansion of -1 in y 2.677 * [taylor]: Taking taylor expansion of y in y 2.678 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.678 * [taylor]: Taking taylor expansion of -1 in y 2.678 * [taylor]: Taking taylor expansion of y in y 2.681 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 2.681 * [taylor]: Taking taylor expansion of (/ -1 z) in y 2.681 * [taylor]: Taking taylor expansion of -1 in y 2.681 * [taylor]: Taking taylor expansion of z in y 2.681 * [taylor]: Taking taylor expansion of (/ -1 z) in y 2.681 * [taylor]: Taking taylor expansion of -1 in y 2.681 * [taylor]: Taking taylor expansion of z in y 2.683 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z))) in x 2.683 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 2.683 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.684 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 2.684 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.684 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 2.684 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 2.684 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.684 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.685 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.685 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.685 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.685 * [taylor]: Taking taylor expansion of -1 in x 2.685 * [taylor]: Taking taylor expansion of x in x 2.685 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.685 * [taylor]: Taking taylor expansion of -1 in x 2.685 * [taylor]: Taking taylor expansion of x in x 2.685 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.685 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.685 * [taylor]: Taking taylor expansion of -1 in x 2.685 * [taylor]: Taking taylor expansion of y in x 2.685 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.685 * [taylor]: Taking taylor expansion of -1 in x 2.685 * [taylor]: Taking taylor expansion of y in x 2.688 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.689 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.689 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.689 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.689 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.689 * [taylor]: Taking taylor expansion of -1 in x 2.689 * [taylor]: Taking taylor expansion of x in x 2.689 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.689 * [taylor]: Taking taylor expansion of -1 in x 2.689 * [taylor]: Taking taylor expansion of x in x 2.689 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.689 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.689 * [taylor]: Taking taylor expansion of -1 in x 2.689 * [taylor]: Taking taylor expansion of y in x 2.689 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.690 * [taylor]: Taking taylor expansion of -1 in x 2.690 * [taylor]: Taking taylor expansion of y in x 2.692 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 2.692 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.693 * [taylor]: Taking taylor expansion of -1 in x 2.693 * [taylor]: Taking taylor expansion of z in x 2.693 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.693 * [taylor]: Taking taylor expansion of -1 in x 2.693 * [taylor]: Taking taylor expansion of z in x 2.695 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z))) in x 2.695 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 2.695 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.695 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 2.696 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.696 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 2.696 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 2.696 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.696 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.696 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.696 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.696 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.696 * [taylor]: Taking taylor expansion of -1 in x 2.696 * [taylor]: Taking taylor expansion of x in x 2.696 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.696 * [taylor]: Taking taylor expansion of -1 in x 2.696 * [taylor]: Taking taylor expansion of x in x 2.697 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.697 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.697 * [taylor]: Taking taylor expansion of -1 in x 2.697 * [taylor]: Taking taylor expansion of y in x 2.697 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.697 * [taylor]: Taking taylor expansion of -1 in x 2.697 * [taylor]: Taking taylor expansion of y in x 2.700 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.700 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.700 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.700 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.700 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.700 * [taylor]: Taking taylor expansion of -1 in x 2.700 * [taylor]: Taking taylor expansion of x in x 2.701 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.701 * [taylor]: Taking taylor expansion of -1 in x 2.701 * [taylor]: Taking taylor expansion of x in x 2.701 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.701 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.701 * [taylor]: Taking taylor expansion of -1 in x 2.701 * [taylor]: Taking taylor expansion of y in x 2.701 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.701 * [taylor]: Taking taylor expansion of -1 in x 2.701 * [taylor]: Taking taylor expansion of y in x 2.704 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 2.704 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.704 * [taylor]: Taking taylor expansion of -1 in x 2.704 * [taylor]: Taking taylor expansion of z in x 2.704 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.704 * [taylor]: Taking taylor expansion of -1 in x 2.704 * [taylor]: Taking taylor expansion of z in x 2.707 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.707 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.708 * [taylor]: Taking taylor expansion of 0 in y 2.708 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.708 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.726 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 2.726 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 2.726 * [taylor]: Taking taylor expansion of 1/2 in y 2.726 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 2.726 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.726 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.727 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.727 * [taylor]: Taking taylor expansion of z in y 2.728 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 2.728 * [taylor]: Taking taylor expansion of 1/2 in y 2.728 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 2.728 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.728 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.729 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.729 * [taylor]: Taking taylor expansion of y in y 2.731 * [taylor]: Taking taylor expansion of 0 in z 2.731 * [taylor]: Taking taylor expansion of 0 in z 2.731 * [taylor]: Taking taylor expansion of 0 in z 2.741 * [taylor]: Taking taylor expansion of 0 in y 2.745 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 2.745 * [taylor]: Taking taylor expansion of 1/2 in z 2.745 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 2.745 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.745 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.745 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.745 * [taylor]: Taking taylor expansion of z in z 2.748 * [taylor]: Taking taylor expansion of 0 in z 2.748 * [taylor]: Taking taylor expansion of 0 in z 2.760 * [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 2.760 * [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 2.761 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 2.761 * [taylor]: Taking taylor expansion of 1/8 in y 2.761 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 2.761 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.761 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.762 * [taylor]: Taking taylor expansion of (pow z 4) in y 2.762 * [taylor]: Taking taylor expansion of z in y 2.762 * [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 2.762 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 2.762 * [taylor]: Taking taylor expansion of 1/4 in y 2.762 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 2.762 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.762 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.763 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 2.763 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.763 * [taylor]: Taking taylor expansion of z in y 2.763 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.763 * [taylor]: Taking taylor expansion of y in y 2.764 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 2.764 * [taylor]: Taking taylor expansion of 1/8 in y 2.764 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 2.764 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.764 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.765 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.765 * [taylor]: Taking taylor expansion of y in y 2.775 * [taylor]: Taking taylor expansion of 0 in z 2.775 * [taylor]: Taking taylor expansion of 0 in z 2.779 * [taylor]: Taking taylor expansion of 0 in z 2.779 * [taylor]: Taking taylor expansion of 0 in z 2.780 * [taylor]: Taking taylor expansion of 0 in z 2.783 * * * [progress]: simplifying candidates 2.783 * [simplify]: Simplifying using # : (expm1 (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (log1p (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (* (hypot (hypot x y) z) (sqrt (/ 1 3.0))) (+ (log (hypot (hypot x y) z)) (log (sqrt (/ 1 3.0)))) (log (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (exp (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (* (* (* (hypot (hypot x y) z) (hypot (hypot x y) z)) (hypot (hypot x y) z)) (* (* (sqrt (/ 1 3.0)) (sqrt (/ 1 3.0))) (sqrt (/ 1 3.0)))) (* (cbrt (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (cbrt (* (hypot (hypot x y) z) (sqrt (/ 1 3.0))))) (cbrt (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (* (* (* (hypot (hypot x y) z) (sqrt (/ 1 3.0))) (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (* (+ (* (hypot x y) (hypot x y)) (* z z)) (/ 1 3.0)) (sqrt (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (sqrt (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (* (sqrt (hypot (hypot x y) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (hypot x y) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (hypot x y) z)) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (hypot (hypot x y) z)) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (hypot (hypot x y) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (hypot x y) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (hypot x y) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (hypot x y) z)) (sqrt (sqrt (/ 1 3.0)))) (* (hypot (hypot x y) z) (* (cbrt (sqrt (/ 1 3.0))) (cbrt (sqrt (/ 1 3.0))))) (* (hypot (hypot x y) z) (sqrt (* (cbrt (/ 1 3.0)) (cbrt (/ 1 3.0))))) (* (hypot (hypot x y) z) (sqrt (sqrt (/ 1 3.0)))) (* (hypot (hypot x y) z) (sqrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 3.0) (cbrt 3.0))))) (* (hypot (hypot x y) z) (sqrt (/ (* (cbrt 1) (cbrt 1)) (sqrt 3.0)))) (* (hypot (hypot x y) z) (sqrt (/ (* (cbrt 1) (cbrt 1)) 1))) (* (hypot (hypot x y) z) (sqrt (/ (sqrt 1) (* (cbrt 3.0) (cbrt 3.0))))) (* (hypot (hypot x y) z) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (hypot (hypot x y) z) (sqrt (/ (sqrt 1) 1))) (* (hypot (hypot x y) z) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0))))) (* (hypot (hypot x y) z) (sqrt (/ 1 (sqrt 3.0)))) (* (hypot (hypot x y) z) (sqrt (/ 1 1))) (* (hypot (hypot x y) z) (sqrt 1)) (* (hypot (hypot x y) z) (sqrt 1)) (* (hypot (hypot x y) z) (sqrt (sqrt (/ 1 3.0)))) (* (hypot (hypot x y) z) 1) (* (cbrt (hypot (hypot x y) z)) (sqrt (/ 1 3.0))) (* (sqrt (hypot (hypot x y) z)) (sqrt (/ 1 3.0))) (* (hypot (hypot x y) z) (sqrt (/ 1 3.0))) (* (hypot (hypot x y) z) (sqrt 1)) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) 2.787 * * [simplify]: iteration 0 : 156 enodes (cost 290 ) 2.791 * * [simplify]: iteration 1 : 490 enodes (cost 268 ) 2.800 * * [simplify]: iteration 2 : 1216 enodes (cost 252 ) 2.814 * * [simplify]: iteration 3 : 2232 enodes (cost 241 ) 2.842 * * [simplify]: iteration 4 : 5003 enodes (cost 241 ) 2.844 * [simplify]: Simplified to: (expm1 (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (log1p (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (* (hypot (hypot x y) z) (sqrt (/ 1 3.0))) (log (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (log (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (exp (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (pow (* (hypot (hypot x y) z) (sqrt (/ 1 3.0))) 3) (* (cbrt (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (cbrt (* (hypot (hypot x y) z) (sqrt (/ 1 3.0))))) (cbrt (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (pow (* (hypot (hypot x y) z) (sqrt (/ 1 3.0))) 3) (/ (fma (hypot x y) (hypot x y) (* z z)) 3.0) (sqrt (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (sqrt (* (hypot (hypot x y) z) (sqrt (/ 1 3.0)))) (* (sqrt (hypot (hypot x y) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (hypot x y) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (hypot x y) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (hypot x y) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (hypot x y) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (hypot x y) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (hypot x y) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (hypot x y) z)) (sqrt (sqrt (/ 1 3.0)))) (* (hypot (hypot x y) z) (* (cbrt (sqrt (/ 1 3.0))) (cbrt (sqrt (/ 1 3.0))))) (* (fabs (cbrt (/ 1 3.0))) (hypot (hypot x y) z)) (* (hypot (hypot x y) z) (sqrt (sqrt (/ 1 3.0)))) (* (fabs (/ 1 (cbrt 3.0))) (hypot (hypot x y) z)) (* (hypot (hypot x y) z) (sqrt (/ 1 (sqrt 3.0)))) (hypot (hypot x y) z) (* (fabs (/ 1 (cbrt 3.0))) (hypot (hypot x y) z)) (* (hypot (hypot x y) z) (sqrt (/ 1 (sqrt 3.0)))) (hypot (hypot x y) z) (* (fabs (/ 1 (cbrt 3.0))) (hypot (hypot x y) z)) (* (hypot (hypot x y) z) (sqrt (/ 1 (sqrt 3.0)))) (hypot (hypot x y) z) (hypot (hypot x y) z) (hypot (hypot x y) z) (* (hypot (hypot x y) z) (sqrt (sqrt (/ 1 3.0)))) (hypot (hypot x y) z) (* (cbrt (hypot (hypot x y) z)) (sqrt (/ 1 3.0))) (* (sqrt (hypot (hypot x y) z)) (sqrt (/ 1 3.0))) (* (hypot (hypot x y) z) (sqrt (/ 1 3.0))) (hypot (hypot x y) z) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) 2.844 * * * [progress]: adding candidates to table 2.954 * [progress]: [Phase 3 of 3] Extracting. 2.954 * * [regime]: Finding splitpoints for: (# #) 2.954 * * * [regime-changes]: Trying 3 branch expressions: (z y x) 2.954 * * * * [regimes]: Trying to branch on z from (# #) 2.968 * * * * [regimes]: Trying to branch on y from (# #) 2.986 * * * * [regimes]: Trying to branch on x from (# #) 3.001 * * * [regime]: Found split indices: #