14.590 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying using # : (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) 0.024 * * [simplify]: iteration 0 : 16 enodes (cost 7 ) 0.027 * * [simplify]: iteration 1 : 27 enodes (cost 7 ) 0.030 * * [simplify]: iteration 2 : 33 enodes (cost 7 ) 0.032 * * [simplify]: iteration 3 : 34 enodes (cost 7 ) 0.035 * * [simplify]: iteration 4 : 34 enodes (cost 7 ) 0.035 * [simplify]: Simplified to: (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) 0.036 * * [progress]: iteration 1 / 4 0.036 * * * [progress]: picking best candidate 0.038 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.048 * * * [progress]: generating rewritten candidates 0.048 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.064 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.100 * * * [progress]: generating series expansions 0.100 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.100 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in (x y z) around 0 0.100 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z 0.100 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.100 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.101 * [taylor]: Taking taylor expansion of x in z 0.101 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.101 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.101 * [taylor]: Taking taylor expansion of y in z 0.101 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.101 * [taylor]: Taking taylor expansion of z in z 0.102 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.102 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.103 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 0.103 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.103 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.103 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.103 * [taylor]: Taking taylor expansion of x in y 0.103 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.103 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.103 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.103 * [taylor]: Taking taylor expansion of z in y 0.105 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.105 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.105 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x 0.105 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.106 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.106 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.106 * [taylor]: Taking taylor expansion of z in x 0.107 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.107 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.108 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x 0.108 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.108 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.108 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.108 * [taylor]: Taking taylor expansion of z in x 0.109 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.109 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.110 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y 0.111 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.111 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.111 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.111 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.111 * [taylor]: Taking taylor expansion of z in y 0.111 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.111 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.112 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z 0.112 * [taylor]: Taking taylor expansion of z in z 0.112 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.112 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.114 * [taylor]: Taking taylor expansion of 0 in y 0.114 * [taylor]: Taking taylor expansion of 0 in z 0.115 * [taylor]: Taking taylor expansion of 0 in z 0.120 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y 0.120 * [taylor]: Taking taylor expansion of 1/2 in y 0.120 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 0.120 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.120 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.120 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.120 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.120 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.120 * [taylor]: Taking taylor expansion of z in y 0.121 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.121 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.122 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 0.122 * [taylor]: Taking taylor expansion of 1/2 in z 0.122 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 0.122 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.123 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.123 * [taylor]: Taking taylor expansion of z in z 0.125 * [taylor]: Taking taylor expansion of 0 in z 0.128 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 0.128 * [taylor]: Taking taylor expansion of 1/2 in z 0.128 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 0.128 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.128 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.129 * [taylor]: Taking taylor expansion of z in z 0.133 * [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 0.133 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.133 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.133 * [taylor]: Taking taylor expansion of x in z 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.133 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.133 * [taylor]: Taking taylor expansion of z in z 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.134 * [taylor]: Taking taylor expansion of y in z 0.137 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.137 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.138 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 0.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.138 * [taylor]: Taking taylor expansion of x in y 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.138 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.138 * [taylor]: Taking taylor expansion of z in y 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.138 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.138 * [taylor]: Taking taylor expansion of y in y 0.141 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.141 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.142 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.142 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.143 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.143 * [taylor]: Taking taylor expansion of z in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.145 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.145 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.146 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.146 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.146 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.147 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.147 * [taylor]: Taking taylor expansion of z in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.147 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.147 * [taylor]: Taking taylor expansion of y in x 0.149 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.149 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 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 0 in y 0.152 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.152 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.158 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 0.158 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 0.158 * [taylor]: Taking taylor expansion of 1/2 in y 0.158 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 0.158 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.158 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.159 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.159 * [taylor]: Taking taylor expansion of z in y 0.159 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 0.159 * [taylor]: Taking taylor expansion of 1/2 in y 0.159 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 0.159 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.159 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.160 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.160 * [taylor]: Taking taylor expansion of y in y 0.163 * [taylor]: Taking taylor expansion of 0 in z 0.163 * [taylor]: Taking taylor expansion of 0 in z 0.163 * [taylor]: Taking taylor expansion of 0 in z 0.168 * [taylor]: Taking taylor expansion of 0 in y 0.171 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 0.171 * [taylor]: Taking taylor expansion of 1/2 in z 0.171 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 0.171 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.171 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.172 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.172 * [taylor]: Taking taylor expansion of z in z 0.174 * [taylor]: Taking taylor expansion of 0 in z 0.179 * [taylor]: Taking taylor expansion of 0 in z 0.187 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))))) in y 0.187 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))) in y 0.187 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 0.187 * [taylor]: Taking taylor expansion of 1/8 in y 0.187 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 0.187 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.187 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.188 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.189 * [taylor]: Taking taylor expansion of z in y 0.189 * [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 0.189 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 0.189 * [taylor]: Taking taylor expansion of 1/4 in y 0.189 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 0.189 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.189 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.190 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.190 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.190 * [taylor]: Taking taylor expansion of z in y 0.190 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.190 * [taylor]: Taking taylor expansion of y in y 0.191 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 0.191 * [taylor]: Taking taylor expansion of 1/8 in y 0.191 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 0.191 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.191 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.192 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.192 * [taylor]: Taking taylor expansion of y in y 0.203 * [taylor]: Taking taylor expansion of 0 in z 0.203 * [taylor]: Taking taylor expansion of 0 in z 0.207 * [taylor]: Taking taylor expansion of 0 in z 0.207 * [taylor]: Taking taylor expansion of 0 in z 0.208 * [taylor]: Taking taylor expansion of 0 in z 0.211 * [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 0.211 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.212 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.212 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.212 * [taylor]: Taking taylor expansion of x in z 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.212 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.212 * [taylor]: Taking taylor expansion of z in z 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.213 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.213 * [taylor]: Taking taylor expansion of y in z 0.215 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.215 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.216 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 0.216 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.216 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.216 * [taylor]: Taking taylor expansion of x in y 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.216 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.216 * [taylor]: Taking taylor expansion of z in y 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.220 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.220 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.220 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.220 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.221 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.221 * [taylor]: Taking taylor expansion of z in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.221 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.221 * [taylor]: Taking taylor expansion of y in x 0.223 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.224 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.224 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.224 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.225 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.225 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.225 * [taylor]: Taking taylor expansion of z in x 0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.225 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.225 * [taylor]: Taking taylor expansion of y in x 0.227 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.228 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.229 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.229 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.230 * [taylor]: Taking taylor expansion of 0 in y 0.230 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.230 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.237 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 0.237 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 0.237 * [taylor]: Taking taylor expansion of 1/2 in y 0.237 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 0.237 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.237 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.238 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.238 * [taylor]: Taking taylor expansion of z in y 0.239 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 0.239 * [taylor]: Taking taylor expansion of 1/2 in y 0.239 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 0.239 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.239 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.240 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of 0 in z 0.243 * [taylor]: Taking taylor expansion of 0 in z 0.243 * [taylor]: Taking taylor expansion of 0 in z 0.248 * [taylor]: Taking taylor expansion of 0 in y 0.252 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 0.252 * [taylor]: Taking taylor expansion of 1/2 in z 0.252 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 0.252 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.252 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.253 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.253 * [taylor]: Taking taylor expansion of z in z 0.255 * [taylor]: Taking taylor expansion of 0 in z 0.256 * [taylor]: Taking taylor expansion of 0 in z 0.263 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))))) in y 0.263 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))) in y 0.263 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 0.263 * [taylor]: Taking taylor expansion of 1/8 in y 0.263 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 0.263 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.263 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.264 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.264 * [taylor]: Taking taylor expansion of z in y 0.265 * [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 0.265 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 0.265 * [taylor]: Taking taylor expansion of 1/4 in y 0.265 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 0.265 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.265 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.266 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.266 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.266 * [taylor]: Taking taylor expansion of z in y 0.266 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.266 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 0.267 * [taylor]: Taking taylor expansion of 1/8 in y 0.267 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 0.267 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.267 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.267 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.282 * [taylor]: Taking taylor expansion of 0 in z 0.283 * [taylor]: Taking taylor expansion of 0 in z 0.288 * [taylor]: Taking taylor expansion of 0 in z 0.288 * [taylor]: Taking taylor expansion of 0 in z 0.289 * [taylor]: Taking taylor expansion of 0 in z 0.292 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.292 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.293 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.293 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.293 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.293 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.293 * [taylor]: Taking taylor expansion of x in z 0.293 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.293 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.293 * [taylor]: Taking taylor expansion of y in z 0.293 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.293 * [taylor]: Taking taylor expansion of z in z 0.293 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.293 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.293 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.293 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.293 * [taylor]: Taking taylor expansion of x in y 0.293 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.293 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.293 * [taylor]: Taking taylor expansion of y in y 0.293 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.293 * [taylor]: Taking taylor expansion of z in y 0.293 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.293 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.293 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.293 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.293 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.293 * [taylor]: Taking taylor expansion of y in x 0.293 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.293 * [taylor]: Taking taylor expansion of z in x 0.293 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.293 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.293 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.293 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.293 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.293 * [taylor]: Taking taylor expansion of y in x 0.293 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.293 * [taylor]: Taking taylor expansion of z in x 0.294 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (pow z 2))) in y 0.294 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.294 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.294 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.294 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.294 * [taylor]: Taking taylor expansion of z in y 0.294 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow z 2)) in z 0.294 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.294 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.294 * [taylor]: Taking taylor expansion of z in z 0.296 * [taylor]: Taking taylor expansion of 0 in y 0.296 * [taylor]: Taking taylor expansion of 0 in z 0.297 * [taylor]: Taking taylor expansion of 0 in z 0.299 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.299 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.299 * [taylor]: Taking taylor expansion of 0 in z 0.300 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.302 * [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 0.302 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.302 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.302 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.302 * [taylor]: Taking taylor expansion of x in z 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.302 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.302 * [taylor]: Taking taylor expansion of z in z 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.303 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.303 * [taylor]: Taking taylor expansion of y in z 0.303 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.303 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.303 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.303 * [taylor]: Taking taylor expansion of x in y 0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.304 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.304 * [taylor]: Taking taylor expansion of z in y 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.304 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.304 * [taylor]: Taking taylor expansion of y in y 0.304 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.304 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.304 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.305 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.305 * [taylor]: Taking taylor expansion of z in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.305 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.305 * [taylor]: Taking taylor expansion of y in x 0.305 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.305 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.306 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.306 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.306 * [taylor]: Taking taylor expansion of z in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.306 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.306 * [taylor]: Taking taylor expansion of y in x 0.307 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.309 * [taylor]: Taking taylor expansion of 0 in y 0.311 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow z 2))) (* 0.3333333333333333 (/ 1 (pow y 2)))) in y 0.311 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in y 0.311 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) 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 (/ 1 (pow y 2))) in y 0.311 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.311 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.313 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.313 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.316 * [taylor]: Taking taylor expansion of 0 in y 0.317 * [taylor]: Taking taylor expansion of 0 in z 0.317 * [taylor]: Taking taylor expansion of 0 in z 0.318 * [taylor]: Taking taylor expansion of 0 in z 0.322 * [taylor]: Taking taylor expansion of 0 in y 0.324 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in z 0.324 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.324 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.324 * [taylor]: Taking taylor expansion of z in z 0.325 * [taylor]: Taking taylor expansion of 0 in z 0.325 * [taylor]: Taking taylor expansion of 0 in z 0.326 * [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 0.326 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.326 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.326 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.326 * [taylor]: Taking taylor expansion of x in z 0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.326 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.326 * [taylor]: Taking taylor expansion of z in z 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.327 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.327 * [taylor]: Taking taylor expansion of y in z 0.327 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.327 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.327 * [taylor]: Taking taylor expansion of x in y 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 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 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.327 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.328 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.328 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.329 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.329 * [taylor]: Taking taylor expansion of z in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.329 * [taylor]: Taking taylor expansion of y in x 0.329 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.329 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.330 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.330 * [taylor]: Taking taylor expansion of z in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.330 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.331 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.332 * [taylor]: Taking taylor expansion of 0 in y 0.334 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow z 2))) (* 0.3333333333333333 (/ 1 (pow y 2)))) in y 0.335 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in y 0.335 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.335 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.335 * [taylor]: Taking taylor expansion of z in y 0.335 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow y 2))) in y 0.335 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.336 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.336 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.340 * [taylor]: Taking taylor expansion of 0 in y 0.342 * [taylor]: Taking taylor expansion of 0 in z 0.342 * [taylor]: Taking taylor expansion of 0 in z 0.342 * [taylor]: Taking taylor expansion of 0 in z 0.346 * [taylor]: Taking taylor expansion of 0 in y 0.348 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in z 0.348 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.348 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.348 * [taylor]: Taking taylor expansion of z in z 0.349 * [taylor]: Taking taylor expansion of 0 in z 0.349 * [taylor]: Taking taylor expansion of 0 in z 0.351 * * * [progress]: simplifying candidates 0.352 * [simplify]: Simplifying using # : (expm1 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (log1p (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (log (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (exp (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (* (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))) (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (* (* (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (* (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))) (sqrt (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0))) (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) 1)) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0))) (sqrt (/ 1 (sqrt 3.0))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0))) (sqrt (/ 1 1)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt 1) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0) (/ 1 2) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (expm1 (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (log1p (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (- (log (+ (+ (* x x) (* y y)) (* z z))) (log 3.0)) (log (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (exp (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (/ (* (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z))) (* (* 3.0 3.0) 3.0)) (* (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (* (* (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (- (+ (+ (* x x) (* y y)) (* z z))) (- 3.0) (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)) (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) 3.0) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0)) (/ 1 1) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) (/ 1 3.0) (/ 3.0 (+ (+ (* x x) (* y y)) (* z z))) (/ (+ (+ (* x x) (* y y)) (* z z)) (* (cbrt 3.0) (cbrt 3.0))) (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0)) (/ (+ (+ (* x x) (* y y)) (* z z)) 1) (/ 3.0 (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (/ 3.0 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ 3.0 (+ (+ (* x x) (* y y)) (* z z))) (* 3.0 (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (* 3.0 (- (+ (* x x) (* y y)) (* z z))) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2)))) (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2)))) (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2)))) 0.359 * * [simplify]: iteration 0 : 223 enodes (cost 655 ) 0.366 * * [simplify]: iteration 1 : 877 enodes (cost 586 ) 0.387 * * [simplify]: iteration 2 : 3651 enodes (cost 577 ) 0.472 * * [simplify]: iteration 3 : 5001 enodes (cost 577 ) 0.476 * [simplify]: Simplified to: (expm1 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (log1p (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (log (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (exp (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (* (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))) (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (pow (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) 3) (fabs (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (fabs (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0))) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0))) (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0))) (sqrt (/ 1 (sqrt 3.0))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0))) 1 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) 1 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0) 1/2 (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (expm1 (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (log1p (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (- (log (fma z z (fma x x (* y y)))) (log 3.0)) (- (log (fma z z (fma x x (* y y)))) (log 3.0)) (exp (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (/ (/ (pow (fma z z (fma x x (* y y))) 3) 3.0) (* 3.0 3.0)) (* (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (/ (/ (pow (fma z z (fma x x (* y y))) 3) 3.0) (* 3.0 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (- (fma z z (fma x x (* y y)))) (- 3.0) (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)) (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) 3.0) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (fma z z (fma x x (* y y))) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (fma z z (fma x x (* y y))) (sqrt 3.0)) 1 (/ (fma z z (fma x x (* y y))) 3.0) (/ 1 3.0) (/ 3.0 (fma z z (fma x x (* y y)))) (/ (/ (fma z z (fma x x (* y y))) (cbrt 3.0)) (cbrt 3.0)) (/ (fma z z (fma x x (* y y))) (sqrt 3.0)) (fma z z (fma x x (* y y))) (/ 3.0 (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (/ 3.0 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ 3.0 (fma z z (fma x x (* y y)))) (fma (* 3.0 (fma x x (* y y))) (fma x x (* y y)) (* (* 3.0 (pow z 2)) (- (pow z 2) (fma x x (* y y))))) (* 3.0 (- (+ (* x x) (* y y)) (* z z))) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) (* 0.3333333333333333 (fma z z (fma x x (* y y)))) (* 0.3333333333333333 (fma z z (fma x x (* y y)))) (* 0.3333333333333333 (fma z z (fma x x (* y y)))) 0.477 * * * [progress]: adding candidates to table 0.695 * * [progress]: iteration 2 / 4 0.695 * * * [progress]: picking best candidate 0.704 * * * * [pick]: Picked # 0.704 * * * [progress]: localizing error 0.714 * * * [progress]: generating rewritten candidates 0.714 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.716 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.720 * * * [progress]: generating series expansions 0.720 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.721 * [approximate]: Taking taylor expansion of (* (sqrt (fma z z (fma x x (pow y 2)))) (sqrt 0.3333333333333333)) in (z x y) around 0 0.721 * [taylor]: Taking taylor expansion of (* (sqrt (fma z z (fma x x (pow y 2)))) (sqrt 0.3333333333333333)) in y 0.721 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in y 0.721 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in y 0.721 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2))) 0.721 * [taylor]: Taking taylor expansion of (* z z) in y 0.721 * [taylor]: Taking taylor expansion of z in y 0.721 * [taylor]: Taking taylor expansion of z in y 0.721 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y 0.721 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.721 * [taylor]: Taking taylor expansion of (* x x) in y 0.721 * [taylor]: Taking taylor expansion of x in y 0.721 * [taylor]: Taking taylor expansion of x in y 0.721 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.721 * [taylor]: Taking taylor expansion of y in y 0.722 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.723 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.723 * [taylor]: Taking taylor expansion of (* (sqrt (fma z z (fma x x (pow y 2)))) (sqrt 0.3333333333333333)) in x 0.723 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in x 0.723 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in x 0.724 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2))) 0.724 * [taylor]: Taking taylor expansion of (* z z) in x 0.724 * [taylor]: Taking taylor expansion of z in x 0.724 * [taylor]: Taking taylor expansion of z in x 0.724 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 0.724 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.724 * [taylor]: Taking taylor expansion of (* x x) in x 0.724 * [taylor]: Taking taylor expansion of x in x 0.724 * [taylor]: Taking taylor expansion of x in x 0.724 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.724 * [taylor]: Taking taylor expansion of y in x 0.726 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.726 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.727 * [taylor]: Taking taylor expansion of (* (sqrt (fma z z (fma x x (pow y 2)))) (sqrt 0.3333333333333333)) in z 0.727 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in z 0.727 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in z 0.727 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2))) 0.727 * [taylor]: Taking taylor expansion of (* z z) in z 0.727 * [taylor]: Taking taylor expansion of z in z 0.727 * [taylor]: Taking taylor expansion of z in z 0.727 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z 0.727 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.727 * [taylor]: Taking taylor expansion of (* x x) in z 0.727 * [taylor]: Taking taylor expansion of x in z 0.727 * [taylor]: Taking taylor expansion of x in z 0.727 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.727 * [taylor]: Taking taylor expansion of y in z 0.729 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.729 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.730 * [taylor]: Taking taylor expansion of (* (sqrt (fma z z (fma x x (pow y 2)))) (sqrt 0.3333333333333333)) in z 0.730 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in z 0.730 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in z 0.730 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2))) 0.730 * [taylor]: Taking taylor expansion of (* z z) in z 0.730 * [taylor]: Taking taylor expansion of z in z 0.730 * [taylor]: Taking taylor expansion of z in z 0.730 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z 0.730 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.730 * [taylor]: Taking taylor expansion of (* x x) in z 0.730 * [taylor]: Taking taylor expansion of x in z 0.730 * [taylor]: Taking taylor expansion of x in z 0.730 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.730 * [taylor]: Taking taylor expansion of y in z 0.732 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.732 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.733 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt 0.3333333333333333)) in x 0.734 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.734 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.734 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.734 * [taylor]: Taking taylor expansion of y in x 0.734 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.735 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.736 * [taylor]: Taking taylor expansion of (* y (sqrt 0.3333333333333333)) in y 0.736 * [taylor]: Taking taylor expansion of y in y 0.736 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.736 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.737 * [taylor]: Taking taylor expansion of 0 in x 0.737 * [taylor]: Taking taylor expansion of 0 in y 0.738 * [taylor]: Taking taylor expansion of 0 in y 0.747 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (sqrt 0.3333333333333333))) in x 0.747 * [taylor]: Taking taylor expansion of 1/2 in x 0.747 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (sqrt 0.3333333333333333)) in x 0.747 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x 0.747 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x 0.747 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.748 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.748 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.748 * [taylor]: Taking taylor expansion of y in x 0.749 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.749 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.750 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) y)) in y 0.750 * [taylor]: Taking taylor expansion of 1/2 in y 0.750 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) y) in y 0.750 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.750 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.751 * [taylor]: Taking taylor expansion of y in y 0.753 * [taylor]: Taking taylor expansion of 0 in y 0.755 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) y)) in y 0.755 * [taylor]: Taking taylor expansion of 1/2 in y 0.755 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) y) in y 0.755 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.755 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.756 * [taylor]: Taking taylor expansion of y in y 0.760 * [approximate]: Taking taylor expansion of (* (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in (z x y) around 0 0.760 * [taylor]: Taking taylor expansion of (* (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 0.760 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in y 0.760 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in y 0.760 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) 0.760 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 0.760 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.760 * [taylor]: Taking taylor expansion of z in y 0.760 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.761 * [taylor]: Taking taylor expansion of z in y 0.761 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y 0.761 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.761 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.761 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.761 * [taylor]: Taking taylor expansion of x in y 0.761 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.761 * [taylor]: Taking taylor expansion of x in y 0.761 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.761 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.761 * [taylor]: Taking taylor expansion of y in y 0.764 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.764 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.765 * [taylor]: Taking taylor expansion of (* (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.765 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in x 0.765 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x 0.765 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) 0.765 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 0.765 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.765 * [taylor]: Taking taylor expansion of z in x 0.765 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.765 * [taylor]: Taking taylor expansion of z in x 0.765 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 0.765 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.765 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.765 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.765 * [taylor]: Taking taylor expansion of x in x 0.766 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.766 * [taylor]: Taking taylor expansion of x in x 0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.766 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.766 * [taylor]: Taking taylor expansion of y in x 0.769 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.769 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.770 * [taylor]: Taking taylor expansion of (* (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.770 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z 0.770 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z 0.770 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) 0.770 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 0.771 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.771 * [taylor]: Taking taylor expansion of z in z 0.771 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.771 * [taylor]: Taking taylor expansion of z in z 0.771 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z 0.771 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.771 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 0.771 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.771 * [taylor]: Taking taylor expansion of x in z 0.771 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.771 * [taylor]: Taking taylor expansion of x in z 0.771 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.771 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.771 * [taylor]: Taking taylor expansion of y in z 0.774 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.774 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.775 * [taylor]: Taking taylor expansion of (* (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.775 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z 0.775 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z 0.775 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) 0.775 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 0.775 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.775 * [taylor]: Taking taylor expansion of z in z 0.776 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.776 * [taylor]: Taking taylor expansion of z in z 0.776 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z 0.776 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.776 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 0.776 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.776 * [taylor]: Taking taylor expansion of x in z 0.776 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.776 * [taylor]: Taking taylor expansion of x in z 0.776 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.776 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.776 * [taylor]: Taking taylor expansion of y in z 0.779 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.779 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.781 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.781 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.782 * [taylor]: Taking taylor expansion of 0 in x 0.782 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.782 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.788 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in x 0.788 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2))) in x 0.788 * [taylor]: Taking taylor expansion of 1/2 in x 0.788 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow x 2)) in x 0.788 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.788 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.789 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.790 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in x 0.790 * [taylor]: Taking taylor expansion of 1/2 in x 0.790 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in x 0.790 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.790 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.791 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.791 * [taylor]: Taking taylor expansion of y in x 0.793 * [taylor]: Taking taylor expansion of 0 in y 0.793 * [taylor]: Taking taylor expansion of 0 in y 0.793 * [taylor]: Taking taylor expansion of 0 in y 0.798 * [taylor]: Taking taylor expansion of 0 in x 0.802 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 0.802 * [taylor]: Taking taylor expansion of 1/2 in y 0.802 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 0.802 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.802 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.803 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.803 * [taylor]: Taking taylor expansion of y in y 0.805 * [taylor]: Taking taylor expansion of 0 in y 0.806 * [taylor]: Taking taylor expansion of 0 in y 0.813 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4)))))) in x 0.813 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4))))) in x 0.813 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow y 2)))) in x 0.813 * [taylor]: Taking taylor expansion of 1/4 in x 0.813 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow y 2))) in x 0.813 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.813 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.814 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.814 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.814 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.814 * [taylor]: Taking taylor expansion of y in x 0.815 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4)))) in x 0.815 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in x 0.815 * [taylor]: Taking taylor expansion of 1/8 in x 0.815 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in x 0.815 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.815 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.816 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.816 * [taylor]: Taking taylor expansion of y in x 0.817 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4))) in x 0.817 * [taylor]: Taking taylor expansion of 1/8 in x 0.817 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow x 4)) in x 0.817 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.817 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.818 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.818 * [taylor]: Taking taylor expansion of x in x 0.828 * [taylor]: Taking taylor expansion of 0 in y 0.829 * [taylor]: Taking taylor expansion of 0 in y 0.833 * [taylor]: Taking taylor expansion of 0 in y 0.833 * [taylor]: Taking taylor expansion of 0 in y 0.834 * [taylor]: Taking taylor expansion of 0 in y 0.837 * [approximate]: Taking taylor expansion of (* (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in (z x y) around 0 0.837 * [taylor]: Taking taylor expansion of (* (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 0.837 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in y 0.837 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in y 0.837 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) 0.838 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 0.838 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.838 * [taylor]: Taking taylor expansion of -1 in y 0.838 * [taylor]: Taking taylor expansion of z in y 0.838 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.838 * [taylor]: Taking taylor expansion of -1 in y 0.838 * [taylor]: Taking taylor expansion of z in y 0.838 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y 0.838 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.838 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.838 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.838 * [taylor]: Taking taylor expansion of -1 in y 0.838 * [taylor]: Taking taylor expansion of x in y 0.841 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.842 * [taylor]: Taking taylor expansion of -1 in y 0.842 * [taylor]: Taking taylor expansion of x in y 0.842 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.842 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.842 * [taylor]: Taking taylor expansion of y in y 0.845 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.845 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.846 * [taylor]: Taking taylor expansion of (* (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.846 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in x 0.846 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x 0.846 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) 0.846 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 0.846 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.846 * [taylor]: Taking taylor expansion of -1 in x 0.846 * [taylor]: Taking taylor expansion of z in x 0.846 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.847 * [taylor]: Taking taylor expansion of -1 in x 0.847 * [taylor]: Taking taylor expansion of z in x 0.847 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 0.847 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.847 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.847 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.847 * [taylor]: Taking taylor expansion of -1 in x 0.847 * [taylor]: Taking taylor expansion of x in x 0.847 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.847 * [taylor]: Taking taylor expansion of -1 in x 0.847 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.848 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.848 * [taylor]: Taking taylor expansion of y in x 0.851 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.851 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.852 * [taylor]: Taking taylor expansion of (* (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.852 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z 0.852 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z 0.852 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) 0.852 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 0.852 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.852 * [taylor]: Taking taylor expansion of -1 in z 0.852 * [taylor]: Taking taylor expansion of z in z 0.853 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.853 * [taylor]: Taking taylor expansion of -1 in z 0.853 * [taylor]: Taking taylor expansion of z in z 0.853 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z 0.853 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.853 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 0.853 * [taylor]: Taking taylor expansion of (/ -1 x) in z 0.853 * [taylor]: Taking taylor expansion of -1 in z 0.853 * [taylor]: Taking taylor expansion of x in z 0.853 * [taylor]: Taking taylor expansion of (/ -1 x) in z 0.853 * [taylor]: Taking taylor expansion of -1 in z 0.853 * [taylor]: Taking taylor expansion of x in z 0.853 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.853 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.853 * [taylor]: Taking taylor expansion of y in z 0.856 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.856 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.857 * [taylor]: Taking taylor expansion of (* (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.857 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z 0.857 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z 0.858 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) 0.858 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 0.858 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.858 * [taylor]: Taking taylor expansion of -1 in z 0.858 * [taylor]: Taking taylor expansion of z in z 0.858 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.858 * [taylor]: Taking taylor expansion of -1 in z 0.858 * [taylor]: Taking taylor expansion of z in z 0.858 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z 0.859 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.859 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 0.859 * [taylor]: Taking taylor expansion of (/ -1 x) in z 0.859 * [taylor]: Taking taylor expansion of -1 in z 0.859 * [taylor]: Taking taylor expansion of x in z 0.859 * [taylor]: Taking taylor expansion of (/ -1 x) in z 0.859 * [taylor]: Taking taylor expansion of -1 in z 0.859 * [taylor]: Taking taylor expansion of x in z 0.859 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.859 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.859 * [taylor]: Taking taylor expansion of y in z 0.862 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.862 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.863 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.863 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.864 * [taylor]: Taking taylor expansion of 0 in x 0.864 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.865 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.870 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in x 0.870 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow x 2))) in x 0.870 * [taylor]: Taking taylor expansion of 1/2 in x 0.870 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow x 2)) in x 0.871 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.871 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.871 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.872 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in x 0.872 * [taylor]: Taking taylor expansion of 1/2 in x 0.872 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in x 0.872 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.872 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.873 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.873 * [taylor]: Taking taylor expansion of y in x 0.875 * [taylor]: Taking taylor expansion of 0 in y 0.875 * [taylor]: Taking taylor expansion of 0 in y 0.875 * [taylor]: Taking taylor expansion of 0 in y 0.881 * [taylor]: Taking taylor expansion of 0 in x 0.884 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 0.884 * [taylor]: Taking taylor expansion of 1/2 in y 0.884 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 0.884 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.884 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.885 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.886 * [taylor]: Taking taylor expansion of y in y 0.888 * [taylor]: Taking taylor expansion of 0 in y 0.889 * [taylor]: Taking taylor expansion of 0 in y 0.896 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4)))))) in x 0.896 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4))))) in x 0.897 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow y 2)))) in x 0.897 * [taylor]: Taking taylor expansion of 1/4 in x 0.897 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow x 2) (pow y 2))) in x 0.897 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.897 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.897 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.897 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.897 * [taylor]: Taking taylor expansion of x in x 0.897 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.898 * [taylor]: Taking taylor expansion of y in x 0.898 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4)))) in x 0.898 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in x 0.898 * [taylor]: Taking taylor expansion of 1/8 in x 0.898 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in x 0.898 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.898 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.899 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.899 * [taylor]: Taking taylor expansion of y in x 0.900 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow x 4))) in x 0.900 * [taylor]: Taking taylor expansion of 1/8 in x 0.900 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow x 4)) in x 0.900 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.900 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.901 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.911 * [taylor]: Taking taylor expansion of 0 in y 0.911 * [taylor]: Taking taylor expansion of 0 in y 0.916 * [taylor]: Taking taylor expansion of 0 in y 0.916 * [taylor]: Taking taylor expansion of 0 in y 0.917 * [taylor]: Taking taylor expansion of 0 in y 0.920 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.920 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (fma z z (fma x x (pow y 2)))) in (z x y) around 0 0.920 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (fma z z (fma x x (pow y 2)))) in y 0.920 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.920 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in y 0.920 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2))) 0.920 * [taylor]: Taking taylor expansion of (* z z) in y 0.920 * [taylor]: Taking taylor expansion of z in y 0.920 * [taylor]: Taking taylor expansion of z in y 0.920 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y 0.920 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.920 * [taylor]: Taking taylor expansion of (* x x) in y 0.920 * [taylor]: Taking taylor expansion of x in y 0.920 * [taylor]: Taking taylor expansion of x in y 0.920 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.920 * [taylor]: Taking taylor expansion of y in y 0.920 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (fma z z (fma x x (pow y 2)))) in x 0.921 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.921 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in x 0.921 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2))) 0.921 * [taylor]: Taking taylor expansion of (* z z) in x 0.921 * [taylor]: Taking taylor expansion of z in x 0.921 * [taylor]: Taking taylor expansion of z in x 0.921 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 0.921 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.921 * [taylor]: Taking taylor expansion of (* x x) in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.921 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.921 * [taylor]: Taking taylor expansion of y in x 0.921 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (fma z z (fma x x (pow y 2)))) in z 0.921 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.921 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in z 0.921 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2))) 0.921 * [taylor]: Taking taylor expansion of (* z z) in z 0.921 * [taylor]: Taking taylor expansion of z in z 0.921 * [taylor]: Taking taylor expansion of z in z 0.921 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z 0.921 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.921 * [taylor]: Taking taylor expansion of (* x x) in z 0.921 * [taylor]: Taking taylor expansion of x in z 0.921 * [taylor]: Taking taylor expansion of x in z 0.921 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.921 * [taylor]: Taking taylor expansion of y in z 0.921 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (fma z z (fma x x (pow y 2)))) in z 0.921 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.921 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in z 0.921 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2))) 0.921 * [taylor]: Taking taylor expansion of (* z z) in z 0.921 * [taylor]: Taking taylor expansion of z in z 0.921 * [taylor]: Taking taylor expansion of z in z 0.922 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z 0.922 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.922 * [taylor]: Taking taylor expansion of (* x x) in z 0.922 * [taylor]: Taking taylor expansion of x in z 0.922 * [taylor]: Taking taylor expansion of x in z 0.922 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.922 * [taylor]: Taking taylor expansion of y in z 0.923 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (pow y 2))) in x 0.923 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.923 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.923 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.923 * [taylor]: Taking taylor expansion of y in x 0.923 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow y 2)) in y 0.923 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.923 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.923 * [taylor]: Taking taylor expansion of y in y 0.925 * [taylor]: Taking taylor expansion of 0 in x 0.925 * [taylor]: Taking taylor expansion of 0 in y 0.926 * [taylor]: Taking taylor expansion of 0 in y 0.928 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.928 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.928 * [taylor]: Taking taylor expansion of 0 in y 0.930 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.931 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in (z x y) around 0 0.931 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in y 0.931 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.931 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in y 0.932 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) 0.932 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 0.932 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.932 * [taylor]: Taking taylor expansion of z in y 0.932 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.932 * [taylor]: Taking taylor expansion of z in y 0.932 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y 0.932 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.932 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.932 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.932 * [taylor]: Taking taylor expansion of x in y 0.932 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.932 * [taylor]: Taking taylor expansion of x in y 0.932 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.932 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.932 * [taylor]: Taking taylor expansion of y in y 0.933 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in x 0.933 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.933 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x 0.933 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) 0.933 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 0.933 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.933 * [taylor]: Taking taylor expansion of z in x 0.933 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.933 * [taylor]: Taking taylor expansion of z in x 0.933 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 0.933 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.933 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.933 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.933 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.934 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.934 * [taylor]: Taking taylor expansion of y in x 0.934 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z 0.934 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.934 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z 0.934 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) 0.934 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 0.934 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.934 * [taylor]: Taking taylor expansion of z in z 0.935 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.935 * [taylor]: Taking taylor expansion of z in z 0.935 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z 0.935 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.935 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 0.935 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.935 * [taylor]: Taking taylor expansion of x in z 0.935 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.935 * [taylor]: Taking taylor expansion of x in z 0.936 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.936 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.936 * [taylor]: Taking taylor expansion of y in z 0.936 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z 0.936 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.936 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z 0.936 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) 0.936 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 0.936 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.936 * [taylor]: Taking taylor expansion of z in z 0.936 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.936 * [taylor]: Taking taylor expansion of z in z 0.937 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z 0.937 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.937 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 0.937 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.937 * [taylor]: Taking taylor expansion of x in z 0.937 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.937 * [taylor]: Taking taylor expansion of x in z 0.937 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.937 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.937 * [taylor]: Taking taylor expansion of y in z 0.941 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.944 * [taylor]: Taking taylor expansion of 0 in x 0.947 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow x 2))) (* 0.3333333333333333 (/ 1 (pow y 2)))) in x 0.947 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow x 2))) in x 0.947 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.947 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.947 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow y 2))) in x 0.948 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.948 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.948 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.948 * [taylor]: Taking taylor expansion of y in x 0.949 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.949 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.952 * [taylor]: Taking taylor expansion of 0 in x 0.954 * [taylor]: Taking taylor expansion of 0 in y 0.954 * [taylor]: Taking taylor expansion of 0 in y 0.954 * [taylor]: Taking taylor expansion of 0 in y 0.958 * [taylor]: Taking taylor expansion of 0 in x 0.960 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow y 2))) in y 0.960 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.960 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.961 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.961 * [taylor]: Taking taylor expansion of y in y 0.961 * [taylor]: Taking taylor expansion of 0 in y 0.962 * [taylor]: Taking taylor expansion of 0 in y 0.963 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in (z x y) around 0 0.963 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in y 0.963 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.963 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in y 0.963 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) 0.963 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 0.963 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.963 * [taylor]: Taking taylor expansion of -1 in y 0.963 * [taylor]: Taking taylor expansion of z in y 0.963 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.963 * [taylor]: Taking taylor expansion of -1 in y 0.963 * [taylor]: Taking taylor expansion of z in y 0.963 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y 0.963 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.963 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.963 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.963 * [taylor]: Taking taylor expansion of -1 in y 0.963 * [taylor]: Taking taylor expansion of x in y 0.963 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.963 * [taylor]: Taking taylor expansion of -1 in y 0.963 * [taylor]: Taking taylor expansion of x in y 0.963 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.963 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.963 * [taylor]: Taking taylor expansion of y in y 0.964 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in x 0.964 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.964 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x 0.964 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) 0.964 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 0.964 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.964 * [taylor]: Taking taylor expansion of -1 in x 0.964 * [taylor]: Taking taylor expansion of z in x 0.964 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.964 * [taylor]: Taking taylor expansion of -1 in x 0.964 * [taylor]: Taking taylor expansion of z in x 0.964 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 0.965 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.965 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.965 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.965 * [taylor]: Taking taylor expansion of -1 in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.965 * [taylor]: Taking taylor expansion of -1 in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.965 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.965 * [taylor]: Taking taylor expansion of y in x 0.966 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z 0.966 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.966 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z 0.966 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) 0.966 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 0.966 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.966 * [taylor]: Taking taylor expansion of -1 in z 0.966 * [taylor]: Taking taylor expansion of z in z 0.966 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.966 * [taylor]: Taking taylor expansion of -1 in z 0.966 * [taylor]: Taking taylor expansion of z in z 0.966 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z 0.967 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.967 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 0.967 * [taylor]: Taking taylor expansion of (/ -1 x) in z 0.967 * [taylor]: Taking taylor expansion of -1 in z 0.967 * [taylor]: Taking taylor expansion of x in z 0.967 * [taylor]: Taking taylor expansion of (/ -1 x) in z 0.967 * [taylor]: Taking taylor expansion of -1 in z 0.967 * [taylor]: Taking taylor expansion of x in z 0.967 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.967 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.967 * [taylor]: Taking taylor expansion of y in z 0.967 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z 0.967 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.967 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z 0.967 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) 0.967 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 0.967 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.967 * [taylor]: Taking taylor expansion of -1 in z 0.967 * [taylor]: Taking taylor expansion of z in z 0.968 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.968 * [taylor]: Taking taylor expansion of -1 in z 0.968 * [taylor]: Taking taylor expansion of z in z 0.968 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z 0.968 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.968 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 0.968 * [taylor]: Taking taylor expansion of (/ -1 x) in z 0.968 * [taylor]: Taking taylor expansion of -1 in z 0.968 * [taylor]: Taking taylor expansion of x in z 0.968 * [taylor]: Taking taylor expansion of (/ -1 x) in z 0.968 * [taylor]: Taking taylor expansion of -1 in z 0.968 * [taylor]: Taking taylor expansion of x in z 0.968 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.968 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.968 * [taylor]: Taking taylor expansion of y in z 0.969 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.971 * [taylor]: Taking taylor expansion of 0 in x 0.974 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow x 2))) (* 0.3333333333333333 (/ 1 (pow y 2)))) in x 0.974 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow x 2))) in x 0.974 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.975 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.975 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.975 * [taylor]: Taking taylor expansion of x in x 0.975 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow y 2))) in x 0.975 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.975 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.975 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.975 * [taylor]: Taking taylor expansion of y in x 0.976 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.976 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.980 * [taylor]: Taking taylor expansion of 0 in x 0.981 * [taylor]: Taking taylor expansion of 0 in y 0.981 * [taylor]: Taking taylor expansion of 0 in y 0.981 * [taylor]: Taking taylor expansion of 0 in y 0.986 * [taylor]: Taking taylor expansion of 0 in x 0.988 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow y 2))) in y 0.988 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.988 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.989 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.989 * [taylor]: Taking taylor expansion of y in y 0.989 * [taylor]: Taking taylor expansion of 0 in y 0.989 * [taylor]: Taking taylor expansion of 0 in y 0.990 * * * [progress]: simplifying candidates 0.991 * [simplify]: Simplifying using # : (expm1 (sqrt (* 0.3333333333333333 (fma z z (fma x x (* y y)))))) (log1p (sqrt (* 0.3333333333333333 (fma z z (fma x x (* y y)))))) (log (sqrt (* 0.3333333333333333 (fma z z (fma x x (* y y)))))) (exp (sqrt (* 0.3333333333333333 (fma z z (fma x x (* y y)))))) (* (cbrt (sqrt (* 0.3333333333333333 (fma z z (fma x x (* y y)))))) (cbrt (sqrt (* 0.3333333333333333 (fma z z (fma x x (* y y))))))) (cbrt (sqrt (* 0.3333333333333333 (fma z z (fma x x (* y y)))))) (* (* (sqrt (* 0.3333333333333333 (fma z z (fma x x (* y y))))) (sqrt (* 0.3333333333333333 (fma z z (fma x x (* y y)))))) (sqrt (* 0.3333333333333333 (fma z z (fma x x (* y y)))))) (sqrt 0.3333333333333333) (sqrt (fma z z (fma x x (* y y)))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 0.3333333333333333 (fma z z (fma x x (* y y)))))) (sqrt (sqrt (* 0.3333333333333333 (fma z z (fma x x (* y y)))))) (expm1 (* 0.3333333333333333 (fma z z (fma x x (* y y))))) (log1p (* 0.3333333333333333 (fma z z (fma x x (* y y))))) (* 0.3333333333333333 (fma z z (fma x x (* y y)))) (+ (log 0.3333333333333333) (log (fma z z (fma x x (* y y))))) (log (* 0.3333333333333333 (fma z z (fma x x (* y y))))) (exp (* 0.3333333333333333 (fma z z (fma x x (* y y))))) (* (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* (fma z z (fma x x (* y y))) (fma z z (fma x x (* y y)))) (fma z z (fma x x (* y y))))) (* (cbrt (* 0.3333333333333333 (fma z z (fma x x (* y y))))) (cbrt (* 0.3333333333333333 (fma z z (fma x x (* y y)))))) (cbrt (* 0.3333333333333333 (fma z z (fma x x (* y y))))) (* (* (* 0.3333333333333333 (fma z z (fma x x (* y y)))) (* 0.3333333333333333 (fma z z (fma x x (* y y))))) (* 0.3333333333333333 (fma z z (fma x x (* y y))))) (sqrt (* 0.3333333333333333 (fma z z (fma x x (* y y))))) (sqrt (* 0.3333333333333333 (fma z z (fma x x (* y y))))) (* (sqrt 0.3333333333333333) (sqrt (fma z z (fma x x (* y y))))) (* (sqrt 0.3333333333333333) (sqrt (fma z z (fma x x (* y y))))) (* 0.3333333333333333 (* z z)) (* 0.3333333333333333 (fma x x (* y y))) (* (* z z) 0.3333333333333333) (* (fma x x (* y y)) 0.3333333333333333) (* 0.3333333333333333 (* (cbrt (fma z z (fma x x (* y y)))) (cbrt (fma z z (fma x x (* y y)))))) (* 0.3333333333333333 (sqrt (fma z z (fma x x (* y y))))) (* 0.3333333333333333 1) (* (cbrt 0.3333333333333333) (fma z z (fma x x (* y y)))) (* (sqrt 0.3333333333333333) (fma z z (fma x x (* y y)))) (* 0.3333333333333333 (fma z z (fma x x (* y y)))) (* y (sqrt 0.3333333333333333)) (* z (sqrt 0.3333333333333333)) (* -1 (* z (sqrt 0.3333333333333333))) (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2)))) (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2)))) (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2)))) 0.997 * * [simplify]: iteration 0 : 126 enodes (cost 229 ) 1.002 * * [simplify]: iteration 1 : 501 enodes (cost 201 ) 1.019 * * [simplify]: iteration 2 : 2724 enodes (cost 201 ) 1.081 * * [simplify]: iteration 3 : 5002 enodes (cost 201 ) 1.083 * [simplify]: Simplified to: (expm1 (sqrt (* 0.3333333333333333 (fma z z (fma x x (* y y)))))) (log1p (sqrt (* 0.3333333333333333 (fma z z (fma x x (* y y)))))) (log (sqrt (* 0.3333333333333333 (fma z z (fma x x (* y y)))))) (exp (sqrt (* 0.3333333333333333 (fma z z (fma x x (* y y)))))) (* (cbrt (sqrt (* 0.3333333333333333 (fma z z (fma x x (* y y)))))) (cbrt (sqrt (* 0.3333333333333333 (fma z z (fma x x (* y y))))))) (cbrt (sqrt (* 0.3333333333333333 (fma z z (fma x x (* y y)))))) (pow (sqrt (* 0.3333333333333333 (fma z z (fma x x (* y y))))) 3) (sqrt 0.3333333333333333) (sqrt (fma z z (fma x x (* y y)))) 1/2 1/2 (sqrt (sqrt (* 0.3333333333333333 (fma z z (fma x x (* y y)))))) (sqrt (sqrt (* 0.3333333333333333 (fma z z (fma x x (* y y)))))) (expm1 (* 0.3333333333333333 (fma z z (fma x x (* y y))))) (log1p (* 0.3333333333333333 (fma z z (fma x x (* y y))))) (* 0.3333333333333333 (fma z z (fma x x (* y y)))) (log (* 0.3333333333333333 (fma z z (fma x x (* y y))))) (log (* 0.3333333333333333 (fma z z (fma x x (* y y))))) (exp (* 0.3333333333333333 (fma z z (fma x x (* y y))))) (pow (* 0.3333333333333333 (fma z z (fma x x (* y y)))) 3) (* (cbrt (* 0.3333333333333333 (fma z z (fma x x (* y y))))) (cbrt (* 0.3333333333333333 (fma z z (fma x x (* y y)))))) (cbrt (* 0.3333333333333333 (fma z z (fma x x (* y y))))) (pow (* 0.3333333333333333 (fma z z (fma x x (* y y)))) 3) (sqrt (* 0.3333333333333333 (fma z z (fma x x (* y y))))) (sqrt (* 0.3333333333333333 (fma z z (fma x x (* y y))))) (* (sqrt 0.3333333333333333) (sqrt (fma z z (fma x x (* y y))))) (* (sqrt 0.3333333333333333) (sqrt (fma z z (fma x x (* y y))))) (* 0.3333333333333333 (* z z)) (* 0.3333333333333333 (fma x x (* y y))) (* 0.3333333333333333 (* z z)) (* 0.3333333333333333 (fma x x (* y y))) (* 0.3333333333333333 (* (cbrt (fma z z (fma x x (* y y)))) (cbrt (fma z z (fma x x (* y y)))))) (* 0.3333333333333333 (sqrt (fma z z (fma x x (* y y))))) 0.3333333333333333 (* (cbrt 0.3333333333333333) (fma z z (fma x x (* y y)))) (* (sqrt 0.3333333333333333) (fma z z (fma x x (* y y)))) (* 0.3333333333333333 (fma z z (fma x x (* y y)))) (* y (sqrt 0.3333333333333333)) (* z (sqrt 0.3333333333333333)) (* -1 (* z (sqrt 0.3333333333333333))) (* 0.3333333333333333 (fma z z (fma x x (* y y)))) (* 0.3333333333333333 (fma z z (fma x x (* y y)))) (* 0.3333333333333333 (fma z z (fma x x (* y y)))) 1.083 * * * [progress]: adding candidates to table 1.185 * * [progress]: iteration 3 / 4 1.185 * * * [progress]: picking best candidate 1.196 * * * * [pick]: Picked # 1.196 * * * [progress]: localizing error 1.208 * * * [progress]: generating rewritten candidates 1.208 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 1.223 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.250 * * * [progress]: generating series expansions 1.250 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 1.250 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 1.250 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 1.250 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 1.250 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.250 * [taylor]: Taking taylor expansion of x in z 1.250 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 1.250 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.251 * [taylor]: Taking taylor expansion of y in z 1.251 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.251 * [taylor]: Taking taylor expansion of z in z 1.252 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 1.252 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 1.252 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.252 * [taylor]: Taking taylor expansion of x in y 1.252 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.252 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.252 * [taylor]: Taking taylor expansion of y in y 1.252 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.252 * [taylor]: Taking taylor expansion of z in y 1.254 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 1.254 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 1.254 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.254 * [taylor]: Taking taylor expansion of x in x 1.254 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 1.254 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.254 * [taylor]: Taking taylor expansion of y in x 1.254 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.254 * [taylor]: Taking taylor expansion of z in x 1.259 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 1.259 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 1.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.259 * [taylor]: Taking taylor expansion of x in x 1.259 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 1.259 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.259 * [taylor]: Taking taylor expansion of y in x 1.259 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.259 * [taylor]: Taking taylor expansion of z in x 1.261 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 1.261 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.261 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.261 * [taylor]: Taking taylor expansion of y in y 1.261 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.261 * [taylor]: Taking taylor expansion of z in y 1.261 * [taylor]: Taking taylor expansion of z in z 1.261 * [taylor]: Taking taylor expansion of 0 in y 1.261 * [taylor]: Taking taylor expansion of 0 in z 1.261 * [taylor]: Taking taylor expansion of 0 in z 1.264 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 1.264 * [taylor]: Taking taylor expansion of 1/2 in y 1.264 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 1.264 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 1.264 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.264 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.264 * [taylor]: Taking taylor expansion of y in y 1.264 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.264 * [taylor]: Taking taylor expansion of z in y 1.265 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.265 * [taylor]: Taking taylor expansion of 1/2 in z 1.265 * [taylor]: Taking taylor expansion of z in z 1.266 * [taylor]: Taking taylor expansion of 0 in z 1.267 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.267 * [taylor]: Taking taylor expansion of 1/2 in z 1.267 * [taylor]: Taking taylor expansion of z in z 1.269 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 1.269 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 1.269 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.269 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.269 * [taylor]: Taking taylor expansion of x in z 1.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 1.269 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.269 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.269 * [taylor]: Taking taylor expansion of z in z 1.270 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.270 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.270 * [taylor]: Taking taylor expansion of y in z 1.273 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.273 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.273 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.273 * [taylor]: Taking taylor expansion of x in y 1.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.273 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.273 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.273 * [taylor]: Taking taylor expansion of z in y 1.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.273 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.273 * [taylor]: Taking taylor expansion of y in y 1.276 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.277 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.277 * [taylor]: Taking taylor expansion of x in x 1.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.277 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.277 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.277 * [taylor]: Taking taylor expansion of z in x 1.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.277 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.277 * [taylor]: Taking taylor expansion of y in x 1.280 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.280 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.280 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.280 * [taylor]: Taking taylor expansion of x in x 1.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.280 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.280 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.280 * [taylor]: Taking taylor expansion of z in x 1.281 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.281 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.281 * [taylor]: Taking taylor expansion of y in x 1.283 * [taylor]: Taking taylor expansion of 1 in y 1.283 * [taylor]: Taking taylor expansion of 0 in y 1.283 * [taylor]: Taking taylor expansion of 1 in z 1.286 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.286 * [taylor]: Taking taylor expansion of 1/2 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 1.288 * [taylor]: Taking taylor expansion of 0 in z 1.288 * [taylor]: Taking taylor expansion of 0 in z 1.288 * [taylor]: Taking taylor expansion of 0 in z 1.291 * [taylor]: Taking taylor expansion of 0 in y 1.293 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.293 * [taylor]: Taking taylor expansion of 1/2 in z 1.293 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.293 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.293 * [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 1.299 * [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 1.299 * [taylor]: Taking taylor expansion of -1/2 in y 1.299 * [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 1.299 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.299 * [taylor]: Taking taylor expansion of 1/4 in y 1.299 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.299 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.299 * [taylor]: Taking taylor expansion of z in y 1.300 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.300 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.300 * [taylor]: Taking taylor expansion of 1/2 in y 1.300 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.300 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.300 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.300 * [taylor]: Taking taylor expansion of z in y 1.300 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.300 * [taylor]: Taking taylor expansion of y in y 1.300 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.300 * [taylor]: Taking taylor expansion of 1/4 in y 1.300 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.300 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.300 * [taylor]: Taking taylor expansion of y in y 1.311 * [taylor]: Taking taylor expansion of 0 in z 1.311 * [taylor]: Taking taylor expansion of 0 in z 1.314 * [taylor]: Taking taylor expansion of 0 in z 1.314 * [taylor]: Taking taylor expansion of 0 in z 1.314 * [taylor]: Taking taylor expansion of 0 in z 1.316 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 1.316 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 1.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.316 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.316 * [taylor]: Taking taylor expansion of x in z 1.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 1.316 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.316 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.316 * [taylor]: Taking taylor expansion of z in z 1.317 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.317 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.317 * [taylor]: Taking taylor expansion of y in z 1.320 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.320 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.320 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.320 * [taylor]: Taking taylor expansion of x in y 1.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.320 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.320 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.320 * [taylor]: Taking taylor expansion of z in y 1.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.320 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.320 * [taylor]: Taking taylor expansion of y in y 1.323 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.323 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.323 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.323 * [taylor]: Taking taylor expansion of x in x 1.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.324 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.324 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.324 * [taylor]: Taking taylor expansion of z in x 1.324 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.324 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.324 * [taylor]: Taking taylor expansion of y in x 1.326 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.327 * [taylor]: Taking taylor expansion of x in x 1.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.327 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.327 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.327 * [taylor]: Taking taylor expansion of z in x 1.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.327 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.327 * [taylor]: Taking taylor expansion of y in x 1.330 * [taylor]: Taking taylor expansion of 1 in y 1.330 * [taylor]: Taking taylor expansion of 0 in y 1.330 * [taylor]: Taking taylor expansion of 1 in z 1.332 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.332 * [taylor]: Taking taylor expansion of 1/2 in y 1.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.332 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.332 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.332 * [taylor]: Taking taylor expansion of z in y 1.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.333 * [taylor]: Taking taylor expansion of y in y 1.335 * [taylor]: Taking taylor expansion of 0 in z 1.335 * [taylor]: Taking taylor expansion of 0 in z 1.335 * [taylor]: Taking taylor expansion of 0 in z 1.338 * [taylor]: Taking taylor expansion of 0 in y 1.339 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.340 * [taylor]: Taking taylor expansion of 1/2 in z 1.340 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.340 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.340 * [taylor]: Taking taylor expansion of z in z 1.342 * [taylor]: Taking taylor expansion of 0 in z 1.342 * [taylor]: Taking taylor expansion of 0 in z 1.346 * [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 1.346 * [taylor]: Taking taylor expansion of -1/2 in y 1.346 * [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 1.346 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.346 * [taylor]: Taking taylor expansion of 1/4 in y 1.346 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.346 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.346 * [taylor]: Taking taylor expansion of z in y 1.346 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.346 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.346 * [taylor]: Taking taylor expansion of 1/2 in y 1.347 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.347 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.347 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.347 * [taylor]: Taking taylor expansion of z in y 1.347 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.347 * [taylor]: Taking taylor expansion of y in y 1.347 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.347 * [taylor]: Taking taylor expansion of 1/4 in y 1.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.347 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.347 * [taylor]: Taking taylor expansion of y in y 1.365 * [taylor]: Taking taylor expansion of 0 in z 1.365 * [taylor]: Taking taylor expansion of 0 in z 1.367 * [taylor]: Taking taylor expansion of 0 in z 1.367 * [taylor]: Taking taylor expansion of 0 in z 1.367 * [taylor]: Taking taylor expansion of 0 in z 1.369 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.370 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in (x y z) around 0 1.370 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in z 1.370 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 1.370 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 1.370 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.370 * [taylor]: Taking taylor expansion of x in z 1.370 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 1.370 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.370 * [taylor]: Taking taylor expansion of y in z 1.370 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.370 * [taylor]: Taking taylor expansion of z in z 1.371 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in z 1.371 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 1.371 * [taylor]: Taking taylor expansion of 3.0 in z 1.373 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in y 1.373 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 1.373 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 1.373 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.373 * [taylor]: Taking taylor expansion of x in y 1.373 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.373 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.373 * [taylor]: Taking taylor expansion of y in y 1.373 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.373 * [taylor]: Taking taylor expansion of z in y 1.374 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y 1.374 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 1.374 * [taylor]: Taking taylor expansion of 3.0 in y 1.376 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in x 1.376 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 1.376 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 1.376 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.376 * [taylor]: Taking taylor expansion of x in x 1.376 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 1.376 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.376 * [taylor]: Taking taylor expansion of y in x 1.376 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.376 * [taylor]: Taking taylor expansion of z in x 1.377 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in x 1.377 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 1.377 * [taylor]: Taking taylor expansion of 3.0 in x 1.379 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in x 1.379 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 1.379 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 1.379 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.379 * [taylor]: Taking taylor expansion of x in x 1.379 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 1.379 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.379 * [taylor]: Taking taylor expansion of y in x 1.379 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.379 * [taylor]: Taking taylor expansion of z in x 1.380 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in x 1.380 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 1.380 * [taylor]: Taking taylor expansion of 3.0 in x 1.383 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (/ 1 (sqrt 3.0))) in y 1.383 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 1.383 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.383 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.383 * [taylor]: Taking taylor expansion of y in y 1.383 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.383 * [taylor]: Taking taylor expansion of z in y 1.383 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y 1.383 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 1.383 * [taylor]: Taking taylor expansion of 3.0 in y 1.385 * [taylor]: Taking taylor expansion of (/ z (sqrt 3.0)) in z 1.385 * [taylor]: Taking taylor expansion of z in z 1.385 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 1.385 * [taylor]: Taking taylor expansion of 3.0 in z 1.388 * [taylor]: Taking taylor expansion of 0 in y 1.388 * [taylor]: Taking taylor expansion of 0 in z 1.389 * [taylor]: Taking taylor expansion of 0 in z 1.395 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (/ 1 (sqrt 3.0)))) in y 1.395 * [taylor]: Taking taylor expansion of 1/2 in y 1.395 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in y 1.395 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 1.395 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 1.395 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.395 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.395 * [taylor]: Taking taylor expansion of y in y 1.396 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.396 * [taylor]: Taking taylor expansion of z in y 1.396 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y 1.396 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 1.396 * [taylor]: Taking taylor expansion of 3.0 in y 1.399 * [taylor]: Taking taylor expansion of (/ 1/2 (* z (sqrt 3.0))) in z 1.399 * [taylor]: Taking taylor expansion of 1/2 in z 1.399 * [taylor]: Taking taylor expansion of (* z (sqrt 3.0)) in z 1.399 * [taylor]: Taking taylor expansion of z in z 1.399 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 1.399 * [taylor]: Taking taylor expansion of 3.0 in z 1.404 * [taylor]: Taking taylor expansion of 0 in z 1.408 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* z (sqrt 3.0)))) in z 1.408 * [taylor]: Taking taylor expansion of 1/2 in z 1.408 * [taylor]: Taking taylor expansion of (/ 1 (* z (sqrt 3.0))) in z 1.408 * [taylor]: Taking taylor expansion of (* z (sqrt 3.0)) in z 1.408 * [taylor]: Taking taylor expansion of z in z 1.408 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 1.408 * [taylor]: Taking taylor expansion of 3.0 in z 1.416 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in (x y z) around 0 1.416 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in z 1.416 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 1.416 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.416 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.416 * [taylor]: Taking taylor expansion of x in z 1.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 1.416 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.416 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.416 * [taylor]: Taking taylor expansion of z in z 1.417 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.417 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.417 * [taylor]: Taking taylor expansion of y in z 1.419 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in z 1.419 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 1.419 * [taylor]: Taking taylor expansion of 3.0 in z 1.421 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in y 1.421 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.421 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.421 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.421 * [taylor]: Taking taylor expansion of x in y 1.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.421 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.421 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.421 * [taylor]: Taking taylor expansion of z in y 1.421 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.421 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.421 * [taylor]: Taking taylor expansion of y in y 1.424 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y 1.425 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 1.425 * [taylor]: Taking taylor expansion of 3.0 in y 1.426 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in x 1.426 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.426 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.426 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.426 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.426 * [taylor]: Taking taylor expansion of x in x 1.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.427 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.427 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.427 * [taylor]: Taking taylor expansion of z in x 1.427 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.427 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.427 * [taylor]: Taking taylor expansion of y in x 1.429 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in x 1.429 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 1.429 * [taylor]: Taking taylor expansion of 3.0 in x 1.431 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in x 1.431 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.431 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.431 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.431 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.431 * [taylor]: Taking taylor expansion of x in x 1.431 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.431 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.431 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.431 * [taylor]: Taking taylor expansion of z in x 1.432 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.432 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.432 * [taylor]: Taking taylor expansion of y in x 1.434 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in x 1.434 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 1.434 * [taylor]: Taking taylor expansion of 3.0 in x 1.436 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y 1.436 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 1.436 * [taylor]: Taking taylor expansion of 3.0 in y 1.439 * [taylor]: Taking taylor expansion of 0 in y 1.439 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in z 1.439 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 1.439 * [taylor]: Taking taylor expansion of 3.0 in z 1.446 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) (* 1/2 (/ 1 (* (pow y 2) (sqrt 3.0))))) in y 1.446 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) in y 1.446 * [taylor]: Taking taylor expansion of 1/2 in y 1.446 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (sqrt 3.0))) in y 1.446 * [taylor]: Taking taylor expansion of (* (pow z 2) (sqrt 3.0)) in y 1.446 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.446 * [taylor]: Taking taylor expansion of z in y 1.446 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 1.446 * [taylor]: Taking taylor expansion of 3.0 in y 1.448 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow y 2) (sqrt 3.0)))) in y 1.448 * [taylor]: Taking taylor expansion of 1/2 in y 1.448 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (sqrt 3.0))) in y 1.448 * [taylor]: Taking taylor expansion of (* (pow y 2) (sqrt 3.0)) in y 1.448 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.448 * [taylor]: Taking taylor expansion of y in y 1.448 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 1.448 * [taylor]: Taking taylor expansion of 3.0 in y 1.459 * [taylor]: Taking taylor expansion of 0 in z 1.459 * [taylor]: Taking taylor expansion of 0 in z 1.460 * [taylor]: Taking taylor expansion of 0 in z 1.467 * [taylor]: Taking taylor expansion of 0 in y 1.471 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) in z 1.471 * [taylor]: Taking taylor expansion of 1/2 in z 1.471 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (sqrt 3.0))) in z 1.471 * [taylor]: Taking taylor expansion of (* (pow z 2) (sqrt 3.0)) in z 1.471 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.471 * [taylor]: Taking taylor expansion of z in z 1.471 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 1.471 * [taylor]: Taking taylor expansion of 3.0 in z 1.475 * [taylor]: Taking taylor expansion of 0 in z 1.477 * [taylor]: Taking taylor expansion of 0 in z 1.486 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))) (+ (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0))))))) in y 1.486 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))) (+ (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0)))))) in y 1.486 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))) in y 1.486 * [taylor]: Taking taylor expansion of 1/8 in y 1.486 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 4) (sqrt 3.0))) in y 1.486 * [taylor]: Taking taylor expansion of (* (pow z 4) (sqrt 3.0)) in y 1.486 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.486 * [taylor]: Taking taylor expansion of z in y 1.486 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 1.486 * [taylor]: Taking taylor expansion of 3.0 in y 1.488 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0))))) in y 1.488 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) in y 1.488 * [taylor]: Taking taylor expansion of 1/4 in y 1.488 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0)))) in y 1.488 * [taylor]: Taking taylor expansion of (* (pow z 2) (* (pow y 2) (sqrt 3.0))) in y 1.488 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.488 * [taylor]: Taking taylor expansion of z in y 1.488 * [taylor]: Taking taylor expansion of (* (pow y 2) (sqrt 3.0)) in y 1.488 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.488 * [taylor]: Taking taylor expansion of y in y 1.488 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 1.488 * [taylor]: Taking taylor expansion of 3.0 in y 1.490 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0)))) in y 1.491 * [taylor]: Taking taylor expansion of 1/8 in y 1.491 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 4) (sqrt 3.0))) in y 1.491 * [taylor]: Taking taylor expansion of (* (pow y 4) (sqrt 3.0)) in y 1.491 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.491 * [taylor]: Taking taylor expansion of y in y 1.491 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 1.491 * [taylor]: Taking taylor expansion of 3.0 in y 1.506 * [taylor]: Taking taylor expansion of 0 in z 1.506 * [taylor]: Taking taylor expansion of 0 in z 1.512 * [taylor]: Taking taylor expansion of 0 in z 1.512 * [taylor]: Taking taylor expansion of 0 in z 1.513 * [taylor]: Taking taylor expansion of 0 in z 1.518 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in (x y z) around 0 1.518 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in z 1.518 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 1.518 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.518 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.518 * [taylor]: Taking taylor expansion of x in z 1.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 1.518 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.518 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.518 * [taylor]: Taking taylor expansion of z in z 1.519 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.519 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.519 * [taylor]: Taking taylor expansion of y in z 1.521 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in z 1.522 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 1.522 * [taylor]: Taking taylor expansion of 3.0 in z 1.523 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in y 1.523 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.523 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.523 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.523 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.523 * [taylor]: Taking taylor expansion of x in y 1.523 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.523 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.523 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.523 * [taylor]: Taking taylor expansion of z in y 1.523 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.523 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.523 * [taylor]: Taking taylor expansion of y in y 1.526 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y 1.527 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 1.527 * [taylor]: Taking taylor expansion of 3.0 in y 1.528 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in x 1.528 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.528 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.528 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.528 * [taylor]: Taking taylor expansion of x in x 1.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.529 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.529 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.529 * [taylor]: Taking taylor expansion of z in x 1.529 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.529 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.529 * [taylor]: Taking taylor expansion of y in x 1.531 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in x 1.531 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 1.531 * [taylor]: Taking taylor expansion of 3.0 in x 1.532 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in x 1.532 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.532 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.532 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.532 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.532 * [taylor]: Taking taylor expansion of x in x 1.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.533 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.533 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.533 * [taylor]: Taking taylor expansion of z in x 1.533 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.533 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.533 * [taylor]: Taking taylor expansion of y in x 1.535 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in x 1.535 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 1.535 * [taylor]: Taking taylor expansion of 3.0 in x 1.538 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y 1.538 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 1.538 * [taylor]: Taking taylor expansion of 3.0 in y 1.540 * [taylor]: Taking taylor expansion of 0 in y 1.540 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in z 1.540 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 1.540 * [taylor]: Taking taylor expansion of 3.0 in z 1.547 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) (* 1/2 (/ 1 (* (pow y 2) (sqrt 3.0))))) in y 1.554 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) in y 1.554 * [taylor]: Taking taylor expansion of 1/2 in y 1.554 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (sqrt 3.0))) in y 1.554 * [taylor]: Taking taylor expansion of (* (pow z 2) (sqrt 3.0)) in y 1.554 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.554 * [taylor]: Taking taylor expansion of z in y 1.554 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 1.554 * [taylor]: Taking taylor expansion of 3.0 in y 1.556 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow y 2) (sqrt 3.0)))) in y 1.556 * [taylor]: Taking taylor expansion of 1/2 in y 1.556 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (sqrt 3.0))) in y 1.556 * [taylor]: Taking taylor expansion of (* (pow y 2) (sqrt 3.0)) in y 1.556 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.556 * [taylor]: Taking taylor expansion of y in y 1.556 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 1.556 * [taylor]: Taking taylor expansion of 3.0 in y 1.561 * [taylor]: Taking taylor expansion of 0 in z 1.561 * [taylor]: Taking taylor expansion of 0 in z 1.562 * [taylor]: Taking taylor expansion of 0 in z 1.568 * [taylor]: Taking taylor expansion of 0 in y 1.572 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) in z 1.572 * [taylor]: Taking taylor expansion of 1/2 in z 1.572 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (sqrt 3.0))) in z 1.572 * [taylor]: Taking taylor expansion of (* (pow z 2) (sqrt 3.0)) in z 1.572 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.572 * [taylor]: Taking taylor expansion of z in z 1.572 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 1.572 * [taylor]: Taking taylor expansion of 3.0 in z 1.576 * [taylor]: Taking taylor expansion of 0 in z 1.578 * [taylor]: Taking taylor expansion of 0 in z 1.587 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))) (+ (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0))))))) in y 1.587 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))) (+ (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0)))))) in y 1.587 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))) in y 1.587 * [taylor]: Taking taylor expansion of 1/8 in y 1.587 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 4) (sqrt 3.0))) in y 1.587 * [taylor]: Taking taylor expansion of (* (pow z 4) (sqrt 3.0)) in y 1.587 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.587 * [taylor]: Taking taylor expansion of z in y 1.587 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 1.587 * [taylor]: Taking taylor expansion of 3.0 in y 1.589 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0))))) in y 1.589 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) in y 1.589 * [taylor]: Taking taylor expansion of 1/4 in y 1.589 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0)))) in y 1.589 * [taylor]: Taking taylor expansion of (* (pow z 2) (* (pow y 2) (sqrt 3.0))) in y 1.589 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.589 * [taylor]: Taking taylor expansion of z in y 1.589 * [taylor]: Taking taylor expansion of (* (pow y 2) (sqrt 3.0)) in y 1.589 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.589 * [taylor]: Taking taylor expansion of y in y 1.589 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 1.589 * [taylor]: Taking taylor expansion of 3.0 in y 1.591 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0)))) in y 1.591 * [taylor]: Taking taylor expansion of 1/8 in y 1.591 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 4) (sqrt 3.0))) in y 1.591 * [taylor]: Taking taylor expansion of (* (pow y 4) (sqrt 3.0)) in y 1.591 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.592 * [taylor]: Taking taylor expansion of y in y 1.592 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 1.592 * [taylor]: Taking taylor expansion of 3.0 in y 1.607 * [taylor]: Taking taylor expansion of 0 in z 1.607 * [taylor]: Taking taylor expansion of 0 in z 1.613 * [taylor]: Taking taylor expansion of 0 in z 1.613 * [taylor]: Taking taylor expansion of 0 in z 1.614 * [taylor]: Taking taylor expansion of 0 in z 1.619 * * * [progress]: simplifying candidates 1.620 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (expm1 (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (log1p (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (- (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt 3.0))) (log (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (exp (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (/ (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* (sqrt 3.0) (sqrt 3.0)) (sqrt 3.0))) (* (cbrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (cbrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))) (cbrt (/ (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 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (/ (+ (+ (* x x) (* y y)) (* z z)) 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 (+ (+ (* x x) (* y y)) (* z z)))) (- (sqrt 3.0)) (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt 3.0))) (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt 3.0))) (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt 3.0))) (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt 1)) (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt 3.0))) (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt 3.0))) (/ (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt 3.0))) (/ (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt 3.0))) (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt 1)) (/ (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))))) (sqrt (sqrt 3.0))) (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (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)))) (sqrt 3.0)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (sqrt 1) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (sqrt 3.0))) (/ (sqrt 1) (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (cbrt 3.0))) (/ (sqrt 1) (sqrt (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (sqrt 1) (sqrt (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0))) (/ (sqrt 1) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ 1 (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (sqrt 3.0))) (/ 1 (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (cbrt 3.0))) (/ 1 (sqrt (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0))) (/ 1 (sqrt 1)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ 1 (sqrt (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0))) (/ 1 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ 1 (sqrt 3.0)) (/ (sqrt 3.0) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt 3.0) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (/ (sqrt 3.0) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (/ (sqrt 3.0) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (/ (sqrt 3.0) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt 3.0) (sqrt (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)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))) (* (sqrt 3.0) (sqrt (- (+ (* x x) (* y y)) (* z z)))) z x (* -1 x) (/ z (sqrt 3.0)) (/ x (sqrt 3.0)) (* -1 (/ x (sqrt 3.0))) 1.628 * * [simplify]: iteration 0 : 219 enodes (cost 1151 ) 1.635 * * [simplify]: iteration 1 : 657 enodes (cost 1087 ) 1.651 * * [simplify]: iteration 2 : 2443 enodes (cost 1063 ) 1.688 * * [simplify]: iteration 3 : 5002 enodes (cost 1063 ) 1.694 * [simplify]: Simplified to: (expm1 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (hypot (pow z 3) (pow (fma x x (* y y)) 3/2)) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z))) 1/2 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (expm1 (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (log1p (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (log (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (log (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (exp (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (pow (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) 3) (* (cbrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (cbrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))) (cbrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (pow (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) 3) (/ (fma z z (fma x x (* y y))) (* 3.0 1)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (- (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (- (sqrt 3.0)) (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt 3.0))) (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (fabs (cbrt 3.0)) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt 3.0))) (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt 3.0))) (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (* (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 3.0)) (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt 3.0))) (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (* (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 3.0)) (/ (/ (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0))) (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt 3.0))) (/ (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (fabs (cbrt 3.0)) 1)) (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt 3.0))) (/ (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (sqrt (sqrt 3.0)) 1)) (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (sqrt (sqrt 3.0)) 1)) (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (fabs (cbrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ 1 (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (sqrt 3.0))) (/ 1 (fabs (cbrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (cbrt 3.0))) (/ 1 (sqrt (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0))) 1 (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ 1 (sqrt (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0))) 1 (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (fabs (cbrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ 1 (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (sqrt 3.0))) (/ 1 (fabs (cbrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (cbrt 3.0))) (/ 1 (sqrt (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0))) 1 (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ 1 (sqrt (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0))) 1 (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ 1 (sqrt 3.0)) (/ (sqrt 3.0) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fabs (cbrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt 3.0) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (/ (sqrt 3.0) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (/ (sqrt 3.0) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (/ (sqrt 3.0) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt 3.0) (sqrt (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)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))) (* (sqrt 3.0) (sqrt (- (+ (* x x) (* y y)) (* z z)))) z x (* -1 x) (/ z (sqrt 3.0)) (/ x (sqrt 3.0)) (* -1 (/ x (sqrt 3.0))) 1.694 * * * [progress]: adding candidates to table 1.929 * * [progress]: iteration 4 / 4 1.929 * * * [progress]: picking best candidate 1.943 * * * * [pick]: Picked # 1.943 * * * [progress]: localizing error 1.955 * * * [progress]: generating rewritten candidates 1.955 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1 1) 1.959 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.962 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 1.964 * * * [progress]: generating series expansions 1.964 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1 1) 1.965 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.965 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.965 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.965 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.965 * [taylor]: Taking taylor expansion of x in y 1.965 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.965 * [taylor]: Taking taylor expansion of y in y 1.966 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.966 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.966 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.966 * [taylor]: Taking taylor expansion of x in x 1.966 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.966 * [taylor]: Taking taylor expansion of y in x 1.966 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.966 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.966 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.967 * [taylor]: Taking taylor expansion of x in x 1.967 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.967 * [taylor]: Taking taylor expansion of y in x 1.967 * [taylor]: Taking taylor expansion of y in y 1.967 * [taylor]: Taking taylor expansion of 0 in y 1.969 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.969 * [taylor]: Taking taylor expansion of 1/2 in y 1.969 * [taylor]: Taking taylor expansion of y in y 1.971 * [taylor]: Taking taylor expansion of 0 in y 1.972 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.972 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.972 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.972 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.972 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.972 * [taylor]: Taking taylor expansion of x in y 1.972 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.972 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.972 * [taylor]: Taking taylor expansion of y in y 1.975 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.975 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.975 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.975 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.975 * [taylor]: Taking taylor expansion of x in x 1.976 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.976 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.976 * [taylor]: Taking taylor expansion of y in x 1.978 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.978 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.978 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.978 * [taylor]: Taking taylor expansion of x in x 1.979 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.979 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.979 * [taylor]: Taking taylor expansion of y in x 1.981 * [taylor]: Taking taylor expansion of 1 in y 1.981 * [taylor]: Taking taylor expansion of 0 in y 1.983 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.983 * [taylor]: Taking taylor expansion of 1/2 in y 1.983 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.983 * [taylor]: Taking taylor expansion of y in y 1.992 * [taylor]: Taking taylor expansion of 0 in y 1.993 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.993 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.993 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.993 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.993 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.993 * [taylor]: Taking taylor expansion of x in y 1.993 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.993 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.994 * [taylor]: Taking taylor expansion of y in y 1.996 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.996 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.996 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.996 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.996 * [taylor]: Taking taylor expansion of x in x 1.997 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.997 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.997 * [taylor]: Taking taylor expansion of y in x 1.999 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.999 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.999 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.999 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.999 * [taylor]: Taking taylor expansion of x in x 2.000 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.000 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.000 * [taylor]: Taking taylor expansion of y in x 2.002 * [taylor]: Taking taylor expansion of 1 in y 2.002 * [taylor]: Taking taylor expansion of 0 in y 2.005 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 2.005 * [taylor]: Taking taylor expansion of 1/2 in y 2.005 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.005 * [taylor]: Taking taylor expansion of y in y 2.008 * [taylor]: Taking taylor expansion of 0 in y 2.009 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 2.010 * [approximate]: Taking taylor expansion of (/ (hypot (sqrt (+ (pow x 2) (pow y 2))) z) (sqrt 3.0)) in (x y z) around 0 2.010 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt (+ (pow x 2) (pow y 2))) z) (sqrt 3.0)) in z 2.010 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in z 2.010 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 2.010 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in z 2.010 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in z 2.010 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 2.010 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 2.010 * [taylor]: Taking taylor expansion of (pow x 2) in z 2.010 * [taylor]: Taking taylor expansion of x in z 2.010 * [taylor]: Taking taylor expansion of (pow y 2) in z 2.010 * [taylor]: Taking taylor expansion of y in z 2.012 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 2.012 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 2.012 * [taylor]: Taking taylor expansion of (pow x 2) in z 2.012 * [taylor]: Taking taylor expansion of x in z 2.012 * [taylor]: Taking taylor expansion of (pow y 2) in z 2.012 * [taylor]: Taking taylor expansion of y in z 2.013 * [taylor]: Taking taylor expansion of (* z z) in z 2.013 * [taylor]: Taking taylor expansion of z in z 2.013 * [taylor]: Taking taylor expansion of z in z 2.015 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 2.015 * [taylor]: Taking taylor expansion of 3.0 in z 2.016 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt (+ (pow x 2) (pow y 2))) z) (sqrt 3.0)) in y 2.016 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in y 2.016 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 2.016 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in y 2.016 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in y 2.016 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 2.016 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.016 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.016 * [taylor]: Taking taylor expansion of x in y 2.016 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.016 * [taylor]: Taking taylor expansion of y in y 2.017 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 2.017 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.017 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.017 * [taylor]: Taking taylor expansion of x in y 2.017 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.017 * [taylor]: Taking taylor expansion of y in y 2.018 * [taylor]: Taking taylor expansion of (* z z) in y 2.018 * [taylor]: Taking taylor expansion of z in y 2.018 * [taylor]: Taking taylor expansion of z in y 2.018 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 2.018 * [taylor]: Taking taylor expansion of 3.0 in y 2.020 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt (+ (pow x 2) (pow y 2))) z) (sqrt 3.0)) in x 2.020 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 2.020 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 2.020 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 2.020 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 2.020 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.020 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.020 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.020 * [taylor]: Taking taylor expansion of x in x 2.020 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.020 * [taylor]: Taking taylor expansion of y in x 2.021 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.021 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.021 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.021 * [taylor]: Taking taylor expansion of x in x 2.021 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.021 * [taylor]: Taking taylor expansion of y in x 2.021 * [taylor]: Taking taylor expansion of (* z z) in x 2.021 * [taylor]: Taking taylor expansion of z in x 2.021 * [taylor]: Taking taylor expansion of z in x 2.022 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 2.022 * [taylor]: Taking taylor expansion of 3.0 in x 2.023 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt (+ (pow x 2) (pow y 2))) z) (sqrt 3.0)) in x 2.023 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 2.023 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 2.023 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 2.024 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 2.024 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.024 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.024 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.024 * [taylor]: Taking taylor expansion of x in x 2.024 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.024 * [taylor]: Taking taylor expansion of y in x 2.024 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.024 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.024 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.024 * [taylor]: Taking taylor expansion of x in x 2.024 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.024 * [taylor]: Taking taylor expansion of y in x 2.025 * [taylor]: Taking taylor expansion of (* z z) in x 2.025 * [taylor]: Taking taylor expansion of z in x 2.025 * [taylor]: Taking taylor expansion of z in x 2.026 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 2.026 * [taylor]: Taking taylor expansion of 3.0 in x 2.027 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (/ 1 (sqrt 3.0))) in y 2.027 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 2.027 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 2.027 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.027 * [taylor]: Taking taylor expansion of y in y 2.027 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.027 * [taylor]: Taking taylor expansion of z in y 2.028 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y 2.028 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 2.028 * [taylor]: Taking taylor expansion of 3.0 in y 2.030 * [taylor]: Taking taylor expansion of (/ z (sqrt 3.0)) in z 2.030 * [taylor]: Taking taylor expansion of z in z 2.030 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 2.030 * [taylor]: Taking taylor expansion of 3.0 in z 2.033 * [taylor]: Taking taylor expansion of 0 in y 2.033 * [taylor]: Taking taylor expansion of 0 in z 2.034 * [taylor]: Taking taylor expansion of 0 in z 2.042 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (/ 1 (sqrt 3.0)))) in y 2.042 * [taylor]: Taking taylor expansion of 1/2 in y 2.042 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in y 2.042 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 2.042 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 2.042 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 2.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.042 * [taylor]: Taking taylor expansion of y in y 2.042 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.042 * [taylor]: Taking taylor expansion of z in y 2.043 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y 2.043 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 2.043 * [taylor]: Taking taylor expansion of 3.0 in y 2.045 * [taylor]: Taking taylor expansion of (/ 1/2 (* z (sqrt 3.0))) in z 2.045 * [taylor]: Taking taylor expansion of 1/2 in z 2.046 * [taylor]: Taking taylor expansion of (* z (sqrt 3.0)) in z 2.046 * [taylor]: Taking taylor expansion of z in z 2.046 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 2.046 * [taylor]: Taking taylor expansion of 3.0 in z 2.051 * [taylor]: Taking taylor expansion of 0 in z 2.054 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* z (sqrt 3.0)))) in z 2.054 * [taylor]: Taking taylor expansion of 1/2 in z 2.054 * [taylor]: Taking taylor expansion of (/ 1 (* z (sqrt 3.0))) in z 2.054 * [taylor]: Taking taylor expansion of (* z (sqrt 3.0)) in z 2.055 * [taylor]: Taking taylor expansion of z in z 2.055 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 2.055 * [taylor]: Taking taylor expansion of 3.0 in z 2.062 * [approximate]: Taking taylor expansion of (/ (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) (sqrt 3.0)) in (x y z) around 0 2.063 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) (sqrt 3.0)) in z 2.063 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in z 2.063 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 2.063 * [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 2.063 * [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 2.063 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 2.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 2.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 2.063 * [taylor]: Taking taylor expansion of (pow x 2) in z 2.063 * [taylor]: Taking taylor expansion of x in z 2.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 2.063 * [taylor]: Taking taylor expansion of (pow y 2) in z 2.063 * [taylor]: Taking taylor expansion of y in z 2.064 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 2.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 2.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 2.064 * [taylor]: Taking taylor expansion of (pow x 2) in z 2.064 * [taylor]: Taking taylor expansion of x in z 2.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 2.065 * [taylor]: Taking taylor expansion of (pow y 2) in z 2.065 * [taylor]: Taking taylor expansion of y in z 2.066 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 2.066 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.066 * [taylor]: Taking taylor expansion of z in z 2.066 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.066 * [taylor]: Taking taylor expansion of z in z 2.069 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 2.069 * [taylor]: Taking taylor expansion of 3.0 in z 2.071 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) (sqrt 3.0)) in y 2.071 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in y 2.071 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 2.071 * [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 2.071 * [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 2.071 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.071 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.071 * [taylor]: Taking taylor expansion of x in y 2.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.071 * [taylor]: Taking taylor expansion of y in y 2.074 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.074 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.074 * [taylor]: Taking taylor expansion of x in y 2.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.074 * [taylor]: Taking taylor expansion of y in y 2.077 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 2.077 * [taylor]: Taking taylor expansion of (/ 1 z) in y 2.077 * [taylor]: Taking taylor expansion of z in y 2.077 * [taylor]: Taking taylor expansion of (/ 1 z) in y 2.077 * [taylor]: Taking taylor expansion of z in y 2.079 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 2.079 * [taylor]: Taking taylor expansion of 3.0 in y 2.080 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) (sqrt 3.0)) in x 2.080 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 2.080 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 2.080 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in x 2.080 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.080 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.080 * [taylor]: Taking taylor expansion of x in x 2.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.081 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.081 * [taylor]: Taking taylor expansion of y in x 2.083 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.083 * [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 2.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.084 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.084 * [taylor]: Taking taylor expansion of y in x 2.086 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 2.086 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.086 * [taylor]: Taking taylor expansion of z in x 2.086 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.086 * [taylor]: Taking taylor expansion of z in x 2.094 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 2.094 * [taylor]: Taking taylor expansion of 3.0 in x 2.096 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) (sqrt 3.0)) in x 2.096 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 2.096 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 2.096 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in x 2.096 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.096 * [taylor]: Taking taylor expansion of x in x 2.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.097 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.097 * [taylor]: Taking taylor expansion of y in x 2.099 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.099 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.099 * [taylor]: Taking taylor expansion of x in x 2.100 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.100 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.100 * [taylor]: Taking taylor expansion of y in x 2.102 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 2.102 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.102 * [taylor]: Taking taylor expansion of z in x 2.102 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.102 * [taylor]: Taking taylor expansion of z in x 2.104 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 2.104 * [taylor]: Taking taylor expansion of 3.0 in x 2.106 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y 2.106 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 2.106 * [taylor]: Taking taylor expansion of 3.0 in y 2.108 * [taylor]: Taking taylor expansion of 0 in y 2.108 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in z 2.108 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 2.108 * [taylor]: Taking taylor expansion of 3.0 in z 2.117 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) (* 1/2 (/ 1 (* (pow y 2) (sqrt 3.0))))) in y 2.117 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) in y 2.117 * [taylor]: Taking taylor expansion of 1/2 in y 2.117 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (sqrt 3.0))) in y 2.117 * [taylor]: Taking taylor expansion of (* (pow z 2) (sqrt 3.0)) in y 2.117 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.117 * [taylor]: Taking taylor expansion of z in y 2.117 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 2.117 * [taylor]: Taking taylor expansion of 3.0 in y 2.119 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow y 2) (sqrt 3.0)))) in y 2.119 * [taylor]: Taking taylor expansion of 1/2 in y 2.119 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (sqrt 3.0))) in y 2.119 * [taylor]: Taking taylor expansion of (* (pow y 2) (sqrt 3.0)) in y 2.119 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.119 * [taylor]: Taking taylor expansion of y in y 2.119 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 2.119 * [taylor]: Taking taylor expansion of 3.0 in y 2.123 * [taylor]: Taking taylor expansion of 0 in z 2.123 * [taylor]: Taking taylor expansion of 0 in z 2.124 * [taylor]: Taking taylor expansion of 0 in z 2.134 * [taylor]: Taking taylor expansion of 0 in y 2.138 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) in z 2.138 * [taylor]: Taking taylor expansion of 1/2 in z 2.138 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (sqrt 3.0))) in z 2.138 * [taylor]: Taking taylor expansion of (* (pow z 2) (sqrt 3.0)) in z 2.138 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.138 * [taylor]: Taking taylor expansion of z in z 2.138 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 2.138 * [taylor]: Taking taylor expansion of 3.0 in z 2.142 * [taylor]: Taking taylor expansion of 0 in z 2.144 * [taylor]: Taking taylor expansion of 0 in z 2.157 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))) (+ (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0)))) (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0)))))))) in y 2.157 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))) (+ (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0)))) (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))))) in y 2.157 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))) in y 2.157 * [taylor]: Taking taylor expansion of 1/8 in y 2.157 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 4) (sqrt 3.0))) in y 2.157 * [taylor]: Taking taylor expansion of (* (pow z 4) (sqrt 3.0)) in y 2.157 * [taylor]: Taking taylor expansion of (pow z 4) in y 2.157 * [taylor]: Taking taylor expansion of z in y 2.157 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 2.157 * [taylor]: Taking taylor expansion of 3.0 in y 2.159 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0)))) (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0)))))) in y 2.159 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0)))) in y 2.159 * [taylor]: Taking taylor expansion of 1/8 in y 2.159 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 4) (sqrt 3.0))) in y 2.159 * [taylor]: Taking taylor expansion of (* (pow y 4) (sqrt 3.0)) in y 2.159 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.159 * [taylor]: Taking taylor expansion of y in y 2.159 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 2.159 * [taylor]: Taking taylor expansion of 3.0 in y 2.162 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) in y 2.162 * [taylor]: Taking taylor expansion of 1/4 in y 2.162 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0)))) in y 2.162 * [taylor]: Taking taylor expansion of (* (pow z 2) (* (pow y 2) (sqrt 3.0))) in y 2.162 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.163 * [taylor]: Taking taylor expansion of z in y 2.163 * [taylor]: Taking taylor expansion of (* (pow y 2) (sqrt 3.0)) in y 2.163 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.163 * [taylor]: Taking taylor expansion of y in y 2.163 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 2.163 * [taylor]: Taking taylor expansion of 3.0 in y 2.177 * [taylor]: Taking taylor expansion of 0 in z 2.178 * [taylor]: Taking taylor expansion of 0 in z 2.190 * [taylor]: Taking taylor expansion of 0 in z 2.190 * [taylor]: Taking taylor expansion of 0 in z 2.192 * [taylor]: Taking taylor expansion of 0 in z 2.197 * [approximate]: Taking taylor expansion of (/ (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) (sqrt 3.0)) in (x y z) around 0 2.197 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) (sqrt 3.0)) in z 2.197 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in z 2.197 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 2.197 * [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 2.197 * [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 2.197 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 2.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 2.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 2.197 * [taylor]: Taking taylor expansion of (pow x 2) in z 2.197 * [taylor]: Taking taylor expansion of x in z 2.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 2.197 * [taylor]: Taking taylor expansion of (pow y 2) in z 2.197 * [taylor]: Taking taylor expansion of y in z 2.199 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 2.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 2.199 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 2.199 * [taylor]: Taking taylor expansion of (pow x 2) in z 2.199 * [taylor]: Taking taylor expansion of x in z 2.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 2.199 * [taylor]: Taking taylor expansion of (pow y 2) in z 2.199 * [taylor]: Taking taylor expansion of y in z 2.200 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 2.200 * [taylor]: Taking taylor expansion of (/ -1 z) in z 2.200 * [taylor]: Taking taylor expansion of -1 in z 2.200 * [taylor]: Taking taylor expansion of z in z 2.201 * [taylor]: Taking taylor expansion of (/ -1 z) in z 2.201 * [taylor]: Taking taylor expansion of -1 in z 2.201 * [taylor]: Taking taylor expansion of z in z 2.204 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 2.204 * [taylor]: Taking taylor expansion of 3.0 in z 2.205 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) (sqrt 3.0)) in y 2.205 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in y 2.205 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 2.205 * [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 2.205 * [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 2.205 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.206 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.206 * [taylor]: Taking taylor expansion of x in y 2.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.206 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.206 * [taylor]: Taking taylor expansion of y in y 2.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.208 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.208 * [taylor]: Taking taylor expansion of x in y 2.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.209 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.209 * [taylor]: Taking taylor expansion of y in y 2.211 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 2.211 * [taylor]: Taking taylor expansion of (/ -1 z) in y 2.211 * [taylor]: Taking taylor expansion of -1 in y 2.211 * [taylor]: Taking taylor expansion of z in y 2.211 * [taylor]: Taking taylor expansion of (/ -1 z) in y 2.211 * [taylor]: Taking taylor expansion of -1 in y 2.211 * [taylor]: Taking taylor expansion of z in y 2.213 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 2.214 * [taylor]: Taking taylor expansion of 3.0 in y 2.215 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) (sqrt 3.0)) in x 2.215 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 2.215 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 2.215 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in x 2.215 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.215 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.215 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.215 * [taylor]: Taking taylor expansion of x in x 2.216 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.216 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.216 * [taylor]: Taking taylor expansion of y in x 2.218 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.218 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.218 * [taylor]: Taking taylor expansion of x in x 2.219 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.219 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.219 * [taylor]: Taking taylor expansion of y in x 2.221 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 2.221 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.221 * [taylor]: Taking taylor expansion of -1 in x 2.221 * [taylor]: Taking taylor expansion of z in x 2.221 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.221 * [taylor]: Taking taylor expansion of -1 in x 2.221 * [taylor]: Taking taylor expansion of z in x 2.223 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 2.223 * [taylor]: Taking taylor expansion of 3.0 in x 2.224 * [taylor]: Taking taylor expansion of (/ (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) (sqrt 3.0)) in x 2.224 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 2.225 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 2.225 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in x 2.225 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.225 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.225 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.225 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.225 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.225 * [taylor]: Taking taylor expansion of x in x 2.225 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.225 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.225 * [taylor]: Taking taylor expansion of y in x 2.227 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.227 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.227 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.227 * [taylor]: Taking taylor expansion of x in x 2.228 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.228 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.228 * [taylor]: Taking taylor expansion of y in x 2.230 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 2.230 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.230 * [taylor]: Taking taylor expansion of -1 in x 2.230 * [taylor]: Taking taylor expansion of z in x 2.230 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.230 * [taylor]: Taking taylor expansion of -1 in x 2.230 * [taylor]: Taking taylor expansion of z in x 2.232 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 2.232 * [taylor]: Taking taylor expansion of 3.0 in x 2.234 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y 2.234 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 2.234 * [taylor]: Taking taylor expansion of 3.0 in y 2.236 * [taylor]: Taking taylor expansion of 0 in y 2.236 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in z 2.236 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 2.236 * [taylor]: Taking taylor expansion of 3.0 in z 2.245 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) (* 1/2 (/ 1 (* (pow y 2) (sqrt 3.0))))) in y 2.245 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) in y 2.245 * [taylor]: Taking taylor expansion of 1/2 in y 2.245 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (sqrt 3.0))) in y 2.245 * [taylor]: Taking taylor expansion of (* (pow z 2) (sqrt 3.0)) in y 2.245 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.245 * [taylor]: Taking taylor expansion of z in y 2.245 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 2.245 * [taylor]: Taking taylor expansion of 3.0 in y 2.247 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow y 2) (sqrt 3.0)))) in y 2.247 * [taylor]: Taking taylor expansion of 1/2 in y 2.247 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (sqrt 3.0))) in y 2.247 * [taylor]: Taking taylor expansion of (* (pow y 2) (sqrt 3.0)) in y 2.247 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.247 * [taylor]: Taking taylor expansion of y in y 2.247 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 2.247 * [taylor]: Taking taylor expansion of 3.0 in y 2.251 * [taylor]: Taking taylor expansion of 0 in z 2.251 * [taylor]: Taking taylor expansion of 0 in z 2.252 * [taylor]: Taking taylor expansion of 0 in z 2.262 * [taylor]: Taking taylor expansion of 0 in y 2.266 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) in z 2.266 * [taylor]: Taking taylor expansion of 1/2 in z 2.266 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (sqrt 3.0))) in z 2.266 * [taylor]: Taking taylor expansion of (* (pow z 2) (sqrt 3.0)) in z 2.266 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.266 * [taylor]: Taking taylor expansion of z in z 2.266 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 2.266 * [taylor]: Taking taylor expansion of 3.0 in z 2.271 * [taylor]: Taking taylor expansion of 0 in z 2.272 * [taylor]: Taking taylor expansion of 0 in z 2.295 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))) (+ (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0)))) (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0)))))))) in y 2.295 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))) (+ (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0)))) (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))))) in y 2.295 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))) in y 2.295 * [taylor]: Taking taylor expansion of 1/8 in y 2.295 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 4) (sqrt 3.0))) in y 2.295 * [taylor]: Taking taylor expansion of (* (pow z 4) (sqrt 3.0)) in y 2.295 * [taylor]: Taking taylor expansion of (pow z 4) in y 2.295 * [taylor]: Taking taylor expansion of z in y 2.295 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 2.295 * [taylor]: Taking taylor expansion of 3.0 in y 2.297 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0)))) (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0)))))) in y 2.297 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0)))) in y 2.297 * [taylor]: Taking taylor expansion of 1/8 in y 2.297 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 4) (sqrt 3.0))) in y 2.297 * [taylor]: Taking taylor expansion of (* (pow y 4) (sqrt 3.0)) in y 2.297 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.297 * [taylor]: Taking taylor expansion of y in y 2.297 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 2.297 * [taylor]: Taking taylor expansion of 3.0 in y 2.299 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) in y 2.299 * [taylor]: Taking taylor expansion of 1/4 in y 2.299 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0)))) in y 2.299 * [taylor]: Taking taylor expansion of (* (pow z 2) (* (pow y 2) (sqrt 3.0))) in y 2.299 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.299 * [taylor]: Taking taylor expansion of z in y 2.299 * [taylor]: Taking taylor expansion of (* (pow y 2) (sqrt 3.0)) in y 2.299 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.299 * [taylor]: Taking taylor expansion of y in y 2.299 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 2.300 * [taylor]: Taking taylor expansion of 3.0 in y 2.315 * [taylor]: Taking taylor expansion of 0 in z 2.315 * [taylor]: Taking taylor expansion of 0 in z 2.321 * [taylor]: Taking taylor expansion of 0 in z 2.321 * [taylor]: Taking taylor expansion of 0 in z 2.323 * [taylor]: Taking taylor expansion of 0 in z 2.327 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 2.327 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in (x y z) around 0 2.327 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in z 2.327 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 2.327 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in z 2.328 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in z 2.328 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 2.328 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 2.328 * [taylor]: Taking taylor expansion of (pow x 2) in z 2.328 * [taylor]: Taking taylor expansion of x in z 2.328 * [taylor]: Taking taylor expansion of (pow y 2) in z 2.328 * [taylor]: Taking taylor expansion of y in z 2.329 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 2.329 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 2.329 * [taylor]: Taking taylor expansion of (pow x 2) in z 2.329 * [taylor]: Taking taylor expansion of x in z 2.329 * [taylor]: Taking taylor expansion of (pow y 2) in z 2.329 * [taylor]: Taking taylor expansion of y in z 2.329 * [taylor]: Taking taylor expansion of (* z z) in z 2.330 * [taylor]: Taking taylor expansion of z in z 2.330 * [taylor]: Taking taylor expansion of z in z 2.331 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in y 2.332 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 2.332 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in y 2.332 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in y 2.332 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 2.332 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.332 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.332 * [taylor]: Taking taylor expansion of x in y 2.332 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.332 * [taylor]: Taking taylor expansion of y in y 2.332 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 2.332 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.332 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.332 * [taylor]: Taking taylor expansion of x in y 2.332 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.332 * [taylor]: Taking taylor expansion of y in y 2.333 * [taylor]: Taking taylor expansion of (* z z) in y 2.333 * [taylor]: Taking taylor expansion of z in y 2.333 * [taylor]: Taking taylor expansion of z in y 2.334 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 2.334 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 2.334 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 2.334 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 2.334 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.334 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.334 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.334 * [taylor]: Taking taylor expansion of x in x 2.334 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.334 * [taylor]: Taking taylor expansion of y in x 2.335 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.335 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.335 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.335 * [taylor]: Taking taylor expansion of x in x 2.335 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.335 * [taylor]: Taking taylor expansion of y in x 2.335 * [taylor]: Taking taylor expansion of (* z z) in x 2.335 * [taylor]: Taking taylor expansion of z in x 2.335 * [taylor]: Taking taylor expansion of z in x 2.336 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 2.336 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 2.336 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 2.336 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 2.336 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.336 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.336 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.336 * [taylor]: Taking taylor expansion of x in x 2.336 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.336 * [taylor]: Taking taylor expansion of y in x 2.337 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.337 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.337 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.337 * [taylor]: Taking taylor expansion of x in x 2.337 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.337 * [taylor]: Taking taylor expansion of y in x 2.338 * [taylor]: Taking taylor expansion of (* z z) in x 2.338 * [taylor]: Taking taylor expansion of z in x 2.338 * [taylor]: Taking taylor expansion of z in x 2.339 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 2.339 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 2.339 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.339 * [taylor]: Taking taylor expansion of y in y 2.339 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.339 * [taylor]: Taking taylor expansion of z in y 2.339 * [taylor]: Taking taylor expansion of z in z 2.339 * [taylor]: Taking taylor expansion of 0 in y 2.339 * [taylor]: Taking taylor expansion of 0 in z 2.339 * [taylor]: Taking taylor expansion of 0 in z 2.344 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 2.344 * [taylor]: Taking taylor expansion of 1/2 in y 2.344 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 2.344 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 2.344 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 2.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.344 * [taylor]: Taking taylor expansion of y in y 2.344 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.344 * [taylor]: Taking taylor expansion of z in y 2.345 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 2.345 * [taylor]: Taking taylor expansion of 1/2 in z 2.345 * [taylor]: Taking taylor expansion of z in z 2.346 * [taylor]: Taking taylor expansion of 0 in z 2.347 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 2.347 * [taylor]: Taking taylor expansion of 1/2 in z 2.347 * [taylor]: Taking taylor expansion of z in z 2.348 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in (x y z) around 0 2.348 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in z 2.349 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 2.349 * [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 2.349 * [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 2.349 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 2.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 2.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 2.349 * [taylor]: Taking taylor expansion of (pow x 2) in z 2.349 * [taylor]: Taking taylor expansion of x in z 2.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 2.349 * [taylor]: Taking taylor expansion of (pow y 2) in z 2.349 * [taylor]: Taking taylor expansion of y in z 2.350 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 2.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 2.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 2.350 * [taylor]: Taking taylor expansion of (pow x 2) in z 2.350 * [taylor]: Taking taylor expansion of x in z 2.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 2.350 * [taylor]: Taking taylor expansion of (pow y 2) in z 2.350 * [taylor]: Taking taylor expansion of y in z 2.352 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 2.352 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.352 * [taylor]: Taking taylor expansion of z in z 2.352 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.352 * [taylor]: Taking taylor expansion of z in z 2.355 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in y 2.355 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 2.355 * [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 2.355 * [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 2.355 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.355 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.356 * [taylor]: Taking taylor expansion of x in y 2.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.356 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.356 * [taylor]: Taking taylor expansion of y in y 2.358 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.358 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.358 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.358 * [taylor]: Taking taylor expansion of x in y 2.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.359 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.359 * [taylor]: Taking taylor expansion of y in y 2.361 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 2.361 * [taylor]: Taking taylor expansion of (/ 1 z) in y 2.361 * [taylor]: Taking taylor expansion of z in y 2.361 * [taylor]: Taking taylor expansion of (/ 1 z) in y 2.361 * [taylor]: Taking taylor expansion of z in y 2.364 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 2.364 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 2.364 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in x 2.364 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.364 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.364 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.364 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.364 * [taylor]: Taking taylor expansion of x in x 2.365 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.365 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.365 * [taylor]: Taking taylor expansion of y in x 2.367 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.367 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.367 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.367 * [taylor]: Taking taylor expansion of x in x 2.368 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.368 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.368 * [taylor]: Taking taylor expansion of y in x 2.370 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 2.370 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.370 * [taylor]: Taking taylor expansion of z in x 2.370 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.370 * [taylor]: Taking taylor expansion of z in x 2.372 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 2.372 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 2.372 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in x 2.372 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.372 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.372 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.372 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.372 * [taylor]: Taking taylor expansion of x in x 2.373 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.373 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.373 * [taylor]: Taking taylor expansion of y in x 2.375 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.375 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.375 * [taylor]: Taking taylor expansion of x in x 2.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.376 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.376 * [taylor]: Taking taylor expansion of y in x 2.378 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 2.378 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.378 * [taylor]: Taking taylor expansion of z in x 2.378 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.378 * [taylor]: Taking taylor expansion of z in x 2.380 * [taylor]: Taking taylor expansion of 1 in y 2.380 * [taylor]: Taking taylor expansion of 0 in y 2.380 * [taylor]: Taking taylor expansion of 1 in z 2.393 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 2.393 * [taylor]: Taking taylor expansion of 1/2 in y 2.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 2.393 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 2.393 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.393 * [taylor]: Taking taylor expansion of z in y 2.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.394 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.394 * [taylor]: Taking taylor expansion of y in y 2.396 * [taylor]: Taking taylor expansion of 0 in z 2.396 * [taylor]: Taking taylor expansion of 0 in z 2.396 * [taylor]: Taking taylor expansion of 0 in z 2.402 * [taylor]: Taking taylor expansion of 0 in y 2.404 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 2.404 * [taylor]: Taking taylor expansion of 1/2 in z 2.404 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 2.404 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.404 * [taylor]: Taking taylor expansion of z in z 2.406 * [taylor]: Taking taylor expansion of 0 in z 2.406 * [taylor]: Taking taylor expansion of 0 in z 2.415 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 2.415 * [taylor]: Taking taylor expansion of -1/2 in y 2.415 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 2.415 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 2.415 * [taylor]: Taking taylor expansion of 1/4 in y 2.415 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 2.415 * [taylor]: Taking taylor expansion of (pow z 4) in y 2.415 * [taylor]: Taking taylor expansion of z in y 2.415 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 2.415 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 2.415 * [taylor]: Taking taylor expansion of 1/2 in y 2.415 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 2.415 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 2.415 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.415 * [taylor]: Taking taylor expansion of z in y 2.415 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.416 * [taylor]: Taking taylor expansion of y in y 2.416 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 2.416 * [taylor]: Taking taylor expansion of 1/4 in y 2.416 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.416 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.416 * [taylor]: Taking taylor expansion of y in y 2.427 * [taylor]: Taking taylor expansion of 0 in z 2.427 * [taylor]: Taking taylor expansion of 0 in z 2.430 * [taylor]: Taking taylor expansion of 0 in z 2.430 * [taylor]: Taking taylor expansion of 0 in z 2.430 * [taylor]: Taking taylor expansion of 0 in z 2.432 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in (x y z) around 0 2.432 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in z 2.432 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 2.432 * [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 2.432 * [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 2.432 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 2.432 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 2.432 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 2.432 * [taylor]: Taking taylor expansion of (pow x 2) in z 2.432 * [taylor]: Taking taylor expansion of x in z 2.433 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 2.433 * [taylor]: Taking taylor expansion of (pow y 2) in z 2.433 * [taylor]: Taking taylor expansion of y in z 2.434 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 2.434 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 2.434 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 2.434 * [taylor]: Taking taylor expansion of (pow x 2) in z 2.434 * [taylor]: Taking taylor expansion of x in z 2.434 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 2.434 * [taylor]: Taking taylor expansion of (pow y 2) in z 2.434 * [taylor]: Taking taylor expansion of y in z 2.436 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 2.436 * [taylor]: Taking taylor expansion of (/ -1 z) in z 2.436 * [taylor]: Taking taylor expansion of -1 in z 2.436 * [taylor]: Taking taylor expansion of z in z 2.436 * [taylor]: Taking taylor expansion of (/ -1 z) in z 2.436 * [taylor]: Taking taylor expansion of -1 in z 2.436 * [taylor]: Taking taylor expansion of z in z 2.439 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in y 2.439 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 2.440 * [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 2.440 * [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 2.440 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.440 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.440 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.440 * [taylor]: Taking taylor expansion of x in y 2.440 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.440 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.440 * [taylor]: Taking taylor expansion of y in y 2.443 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.443 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.443 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.443 * [taylor]: Taking taylor expansion of x in y 2.443 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.443 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.443 * [taylor]: Taking taylor expansion of y in y 2.445 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 2.446 * [taylor]: Taking taylor expansion of (/ -1 z) in y 2.446 * [taylor]: Taking taylor expansion of -1 in y 2.446 * [taylor]: Taking taylor expansion of z in y 2.446 * [taylor]: Taking taylor expansion of (/ -1 z) in y 2.446 * [taylor]: Taking taylor expansion of -1 in y 2.446 * [taylor]: Taking taylor expansion of z in y 2.447 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 2.448 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 2.448 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in x 2.448 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.448 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.448 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.448 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.448 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.448 * [taylor]: Taking taylor expansion of x in x 2.448 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.448 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.448 * [taylor]: Taking taylor expansion of y in x 2.451 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.451 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.451 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.451 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.451 * [taylor]: Taking taylor expansion of x in x 2.451 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.451 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.451 * [taylor]: Taking taylor expansion of y in x 2.453 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 2.453 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.454 * [taylor]: Taking taylor expansion of -1 in x 2.454 * [taylor]: Taking taylor expansion of z in x 2.454 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.454 * [taylor]: Taking taylor expansion of -1 in x 2.454 * [taylor]: Taking taylor expansion of z in x 2.455 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 2.456 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 2.456 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in x 2.456 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.456 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.456 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.456 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.456 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.456 * [taylor]: Taking taylor expansion of x in x 2.456 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.456 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.456 * [taylor]: Taking taylor expansion of y in x 2.459 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.459 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.459 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.459 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.459 * [taylor]: Taking taylor expansion of x in x 2.459 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.459 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.459 * [taylor]: Taking taylor expansion of y in x 2.461 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 2.461 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.462 * [taylor]: Taking taylor expansion of -1 in x 2.462 * [taylor]: Taking taylor expansion of z in x 2.462 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.462 * [taylor]: Taking taylor expansion of -1 in x 2.462 * [taylor]: Taking taylor expansion of z in x 2.464 * [taylor]: Taking taylor expansion of 1 in y 2.464 * [taylor]: Taking taylor expansion of 0 in y 2.464 * [taylor]: Taking taylor expansion of 1 in z 2.470 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 2.470 * [taylor]: Taking taylor expansion of 1/2 in y 2.470 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 2.470 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 2.470 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.470 * [taylor]: Taking taylor expansion of z in y 2.470 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.470 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.470 * [taylor]: Taking taylor expansion of y in y 2.472 * [taylor]: Taking taylor expansion of 0 in z 2.473 * [taylor]: Taking taylor expansion of 0 in z 2.473 * [taylor]: Taking taylor expansion of 0 in z 2.479 * [taylor]: Taking taylor expansion of 0 in y 2.481 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 2.481 * [taylor]: Taking taylor expansion of 1/2 in z 2.481 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 2.481 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.481 * [taylor]: Taking taylor expansion of z in z 2.482 * [taylor]: Taking taylor expansion of 0 in z 2.482 * [taylor]: Taking taylor expansion of 0 in z 2.499 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 2.499 * [taylor]: Taking taylor expansion of -1/2 in y 2.499 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 2.499 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 2.499 * [taylor]: Taking taylor expansion of 1/4 in y 2.499 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 2.499 * [taylor]: Taking taylor expansion of (pow z 4) in y 2.499 * [taylor]: Taking taylor expansion of z in y 2.499 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 2.499 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 2.499 * [taylor]: Taking taylor expansion of 1/2 in y 2.499 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 2.499 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 2.499 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.499 * [taylor]: Taking taylor expansion of z in y 2.499 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.499 * [taylor]: Taking taylor expansion of y in y 2.500 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 2.500 * [taylor]: Taking taylor expansion of 1/4 in y 2.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.500 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.500 * [taylor]: Taking taylor expansion of y in y 2.511 * [taylor]: Taking taylor expansion of 0 in z 2.511 * [taylor]: Taking taylor expansion of 0 in z 2.513 * [taylor]: Taking taylor expansion of 0 in z 2.514 * [taylor]: Taking taylor expansion of 0 in z 2.514 * [taylor]: Taking taylor expansion of 0 in z 2.516 * * * [progress]: simplifying candidates 2.517 * [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 3.0))) (log1p (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 3.0))) (- (log (hypot (sqrt (+ (* x x) (* y y))) z)) (log (sqrt 3.0))) (log (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 3.0))) (exp (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 3.0))) (/ (* (* (hypot (sqrt (+ (* x x) (* y y))) z) (hypot (sqrt (+ (* x x) (* y y))) z)) (hypot (sqrt (+ (* x x) (* y y))) z)) (* (* (sqrt 3.0) (sqrt 3.0)) (sqrt 3.0))) (* (cbrt (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 3.0))) (cbrt (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 3.0)))) (cbrt (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 3.0))) (* (* (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 3.0)) (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 3.0))) (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 3.0))) (/ (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* z z)) 3.0) (sqrt (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 3.0))) (sqrt (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 3.0))) (- (hypot (sqrt (+ (* x x) (* y y))) z)) (- (sqrt 3.0)) (/ (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (sqrt 3.0))) (/ (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z))) (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (cbrt 3.0))) (/ (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z))) (sqrt (sqrt 3.0))) (/ (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt 3.0))) (/ (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z))) (sqrt 1)) (/ (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt 3.0)) (/ (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z))) (sqrt (sqrt 3.0))) (/ (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt 3.0))) (/ (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z))) 1) (/ (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt 3.0)) (/ (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (sqrt 3.0))) (/ (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (cbrt 3.0))) (/ (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt 3.0))) (/ (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt 3.0))) (/ (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt 1)) (/ (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt 3.0)) (/ (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt 3.0))) (/ (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt 3.0))) (/ (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) 1) (/ (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt 3.0)) (/ 1 (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (hypot (sqrt (+ (* x x) (* y y))) z) (cbrt (sqrt 3.0))) (/ 1 (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (cbrt 3.0))) (/ 1 (sqrt (sqrt 3.0))) (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (sqrt 3.0))) (/ 1 (sqrt 1)) (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 3.0)) (/ 1 (sqrt (sqrt 3.0))) (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (sqrt 3.0))) (/ 1 1) (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 3.0)) (/ 1 (sqrt 3.0)) (/ (sqrt 3.0) (hypot (sqrt (+ (* x x) (* y y))) z)) (/ (hypot (sqrt (+ (* x x) (* y y))) z) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (sqrt 3.0))) (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 1)) (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (sqrt 3.0))) (/ (hypot (sqrt (+ (* x x) (* y y))) z) 1) (/ (sqrt 3.0) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z))) (/ (sqrt 3.0) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z))) (/ (sqrt 3.0) (hypot (sqrt (+ (* x x) (* y y))) z)) (expm1 (hypot (sqrt (+ (* x x) (* y y))) z)) (log1p (hypot (sqrt (+ (* x x) (* y y))) z)) (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* z z)) (log (hypot (sqrt (+ (* x x) (* y y))) z)) (exp (hypot (sqrt (+ (* x x) (* y y))) z)) (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z))) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (* (* (hypot (sqrt (+ (* x x) (* y y))) z) (hypot (sqrt (+ (* x x) (* y y))) z)) (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) y x (* -1 x) (/ z (sqrt 3.0)) (/ x (sqrt 3.0)) (* -1 (/ x (sqrt 3.0))) z x (* -1 x) 2.524 * * [simplify]: iteration 0 : 214 enodes (cost 731 ) 2.530 * * [simplify]: iteration 1 : 558 enodes (cost 679 ) 2.541 * * [simplify]: iteration 2 : 1420 enodes (cost 665 ) 2.569 * * [simplify]: iteration 3 : 4000 enodes (cost 665 ) 2.639 * * [simplify]: iteration 4 : 5001 enodes (cost 665 ) 2.643 * [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 3.0))) (log1p (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 3.0))) (log (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 3.0))) (log (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 3.0))) (exp (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 3.0))) (pow (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 3.0)) 3) (* (cbrt (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 3.0))) (cbrt (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 3.0)))) (cbrt (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 3.0))) (pow (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 3.0)) 3) (/ (fma z z (fma x x (* y y))) 3.0) (sqrt (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 3.0))) (sqrt (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 3.0))) (- (hypot (sqrt (+ (* x x) (* y y))) z)) (- (sqrt 3.0)) (/ (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (sqrt 3.0))) (/ (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (/ (fabs (cbrt 3.0)) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)))) (/ (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (cbrt 3.0))) (/ (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z))) (sqrt (sqrt 3.0))) (/ (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt 3.0))) (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z))) (/ (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt 3.0)) (/ (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z))) (sqrt (sqrt 3.0))) (/ (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt 3.0))) (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z))) (/ (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt 3.0)) (/ (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (sqrt 3.0))) (/ (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (fabs (cbrt 3.0))) (/ (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (cbrt 3.0))) (/ (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt 3.0))) (/ (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt 3.0))) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (/ (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt 3.0)) (/ (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt 3.0))) (/ (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt 3.0))) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (/ (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt 3.0)) (/ 1 (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (hypot (sqrt (+ (* x x) (* y y))) z) (cbrt (sqrt 3.0))) (/ 1 (* (fabs (cbrt 3.0)) 1)) (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (cbrt 3.0))) (/ 1 (sqrt (sqrt 3.0))) (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (sqrt 3.0))) 1 (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 3.0)) (/ 1 (sqrt (sqrt 3.0))) (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (sqrt 3.0))) 1 (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 3.0)) (/ 1 (sqrt 3.0)) (/ (sqrt 3.0) (hypot (sqrt (+ (* x x) (* y y))) z)) (/ (hypot (sqrt (+ (* x x) (* y y))) z) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (hypot (sqrt (+ (* x x) (* y y))) z) (fabs (cbrt 3.0))) (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (sqrt 3.0))) (hypot (sqrt (+ (* x x) (* y y))) z) (/ (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (sqrt 3.0))) (hypot (sqrt (+ (* x x) (* y y))) z) (/ (sqrt 3.0) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z))) (/ (sqrt 3.0) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z))) (/ (sqrt 3.0) (hypot (sqrt (+ (* x x) (* y y))) z)) (expm1 (hypot (sqrt (+ (* x x) (* y y))) z)) (log1p (hypot (sqrt (+ (* x x) (* y y))) z)) (fma z z (fma x x (* y y))) (log (hypot (sqrt (+ (* x x) (* y y))) z)) (exp (hypot (sqrt (+ (* x x) (* y y))) z)) (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z))) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (pow (hypot (sqrt (+ (* x x) (* y y))) z) 3) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) y x (* -1 x) (/ z (sqrt 3.0)) (/ x (sqrt 3.0)) (* -1 (/ x (sqrt 3.0))) z x (* -1 x) 2.643 * * * [progress]: adding candidates to table 2.894 * [progress]: [Phase 3 of 3] Extracting. 2.895 * * [regime]: Finding splitpoints for: (# # # # # # #) 2.896 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) z y x) 2.896 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # #) 2.919 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 2.945 * * * * [regimes]: Trying to branch on z from (# # # # # # #) 2.969 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 2.996 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 3.024 * * * [regime]: Found split indices: #