13.238 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying using # : (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) 0.032 * * [simplify]: iteration 0 : 16 enodes (cost 7 ) 0.034 * * [simplify]: iteration 1 : 27 enodes (cost 7 ) 0.035 * * [simplify]: iteration 2 : 33 enodes (cost 7 ) 0.037 * * [simplify]: iteration 3 : 34 enodes (cost 7 ) 0.038 * * [simplify]: iteration 4 : 34 enodes (cost 7 ) 0.038 * [simplify]: Simplified to: (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) 0.038 * * [progress]: iteration 1 / 4 0.039 * * * [progress]: picking best candidate 0.041 * * * * [pick]: Picked # 0.041 * * * [progress]: localizing error 0.050 * * * [progress]: generating rewritten candidates 0.050 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.065 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.095 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.097 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.115 * * * [progress]: generating series expansions 0.115 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.115 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in (x y z) around 0 0.115 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z 0.115 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.115 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.115 * [taylor]: Taking taylor expansion of x in z 0.115 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.115 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.115 * [taylor]: Taking taylor expansion of y in z 0.115 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.115 * [taylor]: Taking taylor expansion of z in z 0.117 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.117 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.118 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 0.118 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.118 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.118 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.118 * [taylor]: Taking taylor expansion of x in y 0.118 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.118 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.118 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.118 * [taylor]: Taking taylor expansion of z in y 0.119 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.119 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.120 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x 0.120 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.120 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.120 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.120 * [taylor]: Taking taylor expansion of y in x 0.120 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.120 * [taylor]: Taking taylor expansion of z in x 0.121 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.121 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.122 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x 0.122 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.122 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.122 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.122 * [taylor]: Taking taylor expansion of z in x 0.123 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.123 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.124 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y 0.124 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.124 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.124 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.124 * [taylor]: Taking taylor expansion of y in y 0.124 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.124 * [taylor]: Taking taylor expansion of z in y 0.125 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.125 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.126 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z 0.126 * [taylor]: Taking taylor expansion of z in z 0.126 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.126 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.128 * [taylor]: Taking taylor expansion of 0 in y 0.128 * [taylor]: Taking taylor expansion of 0 in z 0.128 * [taylor]: Taking taylor expansion of 0 in z 0.134 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y 0.134 * [taylor]: Taking taylor expansion of 1/2 in y 0.134 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 0.134 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.134 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.134 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.134 * [taylor]: Taking taylor expansion of y in y 0.134 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.134 * [taylor]: Taking taylor expansion of z in y 0.135 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.135 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.136 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 0.136 * [taylor]: Taking taylor expansion of 1/2 in z 0.136 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 0.136 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.136 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.137 * [taylor]: Taking taylor expansion of z in z 0.139 * [taylor]: Taking taylor expansion of 0 in z 0.141 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 0.142 * [taylor]: Taking taylor expansion of 1/2 in z 0.142 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 0.142 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.142 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.142 * [taylor]: Taking taylor expansion of z in z 0.146 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0 0.146 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.146 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.146 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.146 * [taylor]: Taking taylor expansion of x in z 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.146 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.146 * [taylor]: Taking taylor expansion of z in z 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.147 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.147 * [taylor]: Taking taylor expansion of y in z 0.150 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.150 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.150 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 0.150 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.151 * [taylor]: Taking taylor expansion of x in y 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.151 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.151 * [taylor]: Taking taylor expansion of z in y 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.151 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.151 * [taylor]: Taking taylor expansion of y in y 0.154 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.154 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.155 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.155 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.155 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.156 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.156 * [taylor]: Taking taylor expansion of z in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.156 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.156 * [taylor]: Taking taylor expansion of y in x 0.158 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.158 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.159 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.159 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.159 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.159 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.159 * [taylor]: Taking taylor expansion of z in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.159 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.159 * [taylor]: Taking taylor expansion of y in x 0.161 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.161 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.163 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.163 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.164 * [taylor]: Taking taylor expansion of 0 in y 0.164 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.164 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.169 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 0.169 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 0.169 * [taylor]: Taking taylor expansion of 1/2 in y 0.169 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 0.169 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.169 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.169 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.169 * [taylor]: Taking taylor expansion of z in y 0.170 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 0.170 * [taylor]: Taking taylor expansion of 1/2 in y 0.170 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 0.170 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.170 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.171 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.171 * [taylor]: Taking taylor expansion of y in y 0.173 * [taylor]: Taking taylor expansion of 0 in z 0.173 * [taylor]: Taking taylor expansion of 0 in z 0.173 * [taylor]: Taking taylor expansion of 0 in z 0.178 * [taylor]: Taking taylor expansion of 0 in y 0.181 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 0.181 * [taylor]: Taking taylor expansion of 1/2 in z 0.181 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 0.181 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.181 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.182 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.182 * [taylor]: Taking taylor expansion of z in z 0.184 * [taylor]: Taking taylor expansion of 0 in z 0.184 * [taylor]: Taking taylor expansion of 0 in z 0.191 * [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 0.191 * [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 0.191 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 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 z 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 z 4) in y 0.192 * [taylor]: Taking taylor expansion of z in y 0.192 * [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 0.192 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 0.192 * [taylor]: Taking taylor expansion of 1/4 in y 0.192 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 0.192 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.192 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.193 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.193 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.193 * [taylor]: Taking taylor expansion of z in y 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.193 * [taylor]: Taking taylor expansion of y in y 0.194 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 0.194 * [taylor]: Taking taylor expansion of 1/8 in y 0.194 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 0.194 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.194 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.195 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.195 * [taylor]: Taking taylor expansion of y in y 0.209 * [taylor]: Taking taylor expansion of 0 in z 0.209 * [taylor]: Taking taylor expansion of 0 in z 0.213 * [taylor]: Taking taylor expansion of 0 in z 0.213 * [taylor]: Taking taylor expansion of 0 in z 0.214 * [taylor]: Taking taylor expansion of 0 in z 0.217 * [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 0.217 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.217 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.217 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.217 * [taylor]: Taking taylor expansion of x in z 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.217 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.217 * [taylor]: Taking taylor expansion of z in z 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.218 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.218 * [taylor]: Taking taylor expansion of y in z 0.220 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.220 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.221 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 0.221 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.221 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.221 * [taylor]: Taking taylor expansion of x in y 0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.221 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.221 * [taylor]: Taking taylor expansion of z in y 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.221 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.221 * [taylor]: Taking taylor expansion of y in y 0.224 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.224 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.225 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.225 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.225 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.225 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.225 * [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 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.226 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.226 * [taylor]: Taking taylor expansion of y in x 0.228 * [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 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.229 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.229 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.229 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.229 * [taylor]: Taking taylor expansion of z in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.229 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.229 * [taylor]: Taking taylor expansion of y in x 0.231 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.231 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.233 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.233 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.234 * [taylor]: Taking taylor expansion of 0 in y 0.234 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.234 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.238 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 0.238 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 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 z 2)) in y 0.239 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.239 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.239 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.239 * [taylor]: Taking taylor expansion of z in y 0.240 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 0.240 * [taylor]: Taking taylor expansion of 1/2 in y 0.240 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 0.240 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.240 * [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 0.247 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 0.251 * [taylor]: Taking taylor expansion of 1/2 in z 0.251 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 0.251 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.251 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.251 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.251 * [taylor]: Taking taylor expansion of z in z 0.254 * [taylor]: Taking taylor expansion of 0 in z 0.254 * [taylor]: Taking taylor expansion of 0 in z 0.261 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))))) in y 0.261 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))) in y 0.261 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 0.261 * [taylor]: Taking taylor expansion of 1/8 in y 0.261 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 0.261 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.261 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.262 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.262 * [taylor]: Taking taylor expansion of z in y 0.262 * [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 0.262 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 0.262 * [taylor]: Taking taylor expansion of 1/4 in y 0.262 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 0.262 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.262 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.263 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.263 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.263 * [taylor]: Taking taylor expansion of z in y 0.263 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 0.264 * [taylor]: Taking taylor expansion of 1/8 in y 0.264 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 0.264 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.264 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.264 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of 0 in z 0.275 * [taylor]: Taking taylor expansion of 0 in z 0.279 * [taylor]: Taking taylor expansion of 0 in z 0.279 * [taylor]: Taking taylor expansion of 0 in z 0.280 * [taylor]: Taking taylor expansion of 0 in z 0.283 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.283 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.283 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.283 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.283 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.283 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.283 * [taylor]: Taking taylor expansion of x in z 0.283 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.283 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.283 * [taylor]: Taking taylor expansion of y in z 0.283 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.283 * [taylor]: Taking taylor expansion of z in z 0.283 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.283 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.283 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.283 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.283 * [taylor]: Taking taylor expansion of x in y 0.283 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.283 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.283 * [taylor]: Taking taylor expansion of y in y 0.283 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.283 * [taylor]: Taking taylor expansion of z in y 0.283 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.283 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.283 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.283 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.283 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.283 * [taylor]: Taking taylor expansion of y in x 0.283 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.283 * [taylor]: Taking taylor expansion of z in x 0.283 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.284 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.284 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.284 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.284 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.284 * [taylor]: Taking taylor expansion of y in x 0.284 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.284 * [taylor]: Taking taylor expansion of z in x 0.284 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (pow z 2))) in y 0.284 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.284 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.284 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.284 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.284 * [taylor]: Taking taylor expansion of z in y 0.284 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow z 2)) in z 0.284 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.284 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.284 * [taylor]: Taking taylor expansion of z in z 0.285 * [taylor]: Taking taylor expansion of 0 in y 0.286 * [taylor]: Taking taylor expansion of 0 in z 0.286 * [taylor]: Taking taylor expansion of 0 in z 0.291 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.291 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.291 * [taylor]: Taking taylor expansion of 0 in z 0.293 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.294 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.294 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.294 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.294 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.294 * [taylor]: Taking taylor expansion of x in z 0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.294 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.294 * [taylor]: Taking taylor expansion of z in z 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.295 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.295 * [taylor]: Taking taylor expansion of y in z 0.295 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.295 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.295 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.295 * [taylor]: Taking taylor expansion of x in y 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.295 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.295 * [taylor]: Taking taylor expansion of z in y 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.296 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.296 * [taylor]: Taking taylor expansion of y in y 0.296 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.296 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.296 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.297 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.297 * [taylor]: Taking taylor expansion of z in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.297 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.297 * [taylor]: Taking taylor expansion of y in x 0.297 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.297 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.297 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.298 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.298 * [taylor]: Taking taylor expansion of z in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.298 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.298 * [taylor]: Taking taylor expansion of y in x 0.299 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.300 * [taylor]: Taking taylor expansion of 0 in y 0.303 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow z 2))) (* 0.3333333333333333 (/ 1 (pow y 2)))) in y 0.303 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in y 0.303 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.303 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.303 * [taylor]: Taking taylor expansion of z in y 0.303 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow y 2))) in y 0.303 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.303 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.304 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.304 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.307 * [taylor]: Taking taylor expansion of 0 in y 0.308 * [taylor]: Taking taylor expansion of 0 in z 0.308 * [taylor]: Taking taylor expansion of 0 in z 0.308 * [taylor]: Taking taylor expansion of 0 in z 0.312 * [taylor]: Taking taylor expansion of 0 in y 0.314 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in z 0.314 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.314 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.314 * [taylor]: Taking taylor expansion of z in z 0.315 * [taylor]: Taking taylor expansion of 0 in z 0.315 * [taylor]: Taking taylor expansion of 0 in z 0.316 * [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 0.316 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.316 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.316 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.316 * [taylor]: Taking taylor expansion of x in z 0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.316 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.316 * [taylor]: Taking taylor expansion of z in z 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.317 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.317 * [taylor]: Taking taylor expansion of y in z 0.317 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.317 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.317 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.317 * [taylor]: Taking taylor expansion of x in y 0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.317 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.317 * [taylor]: Taking taylor expansion of z in y 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.317 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.317 * [taylor]: Taking taylor expansion of y in y 0.318 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.318 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.318 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.319 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.319 * [taylor]: Taking taylor expansion of z in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.319 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.319 * [taylor]: Taking taylor expansion of y in x 0.319 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.319 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.319 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.320 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.320 * [taylor]: Taking taylor expansion of z in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.320 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.320 * [taylor]: Taking taylor expansion of y in x 0.320 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.322 * [taylor]: Taking taylor expansion of 0 in y 0.324 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow z 2))) (* 0.3333333333333333 (/ 1 (pow y 2)))) in y 0.324 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in y 0.324 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.324 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.324 * [taylor]: Taking taylor expansion of z in y 0.324 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow y 2))) in y 0.324 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.324 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.326 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.329 * [taylor]: Taking taylor expansion of 0 in y 0.330 * [taylor]: Taking taylor expansion of 0 in z 0.330 * [taylor]: Taking taylor expansion of 0 in z 0.330 * [taylor]: Taking taylor expansion of 0 in z 0.334 * [taylor]: Taking taylor expansion of 0 in y 0.336 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in z 0.336 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.336 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.336 * [taylor]: Taking taylor expansion of z in z 0.337 * [taylor]: Taking taylor expansion of 0 in z 0.337 * [taylor]: Taking taylor expansion of 0 in z 0.338 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.338 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.338 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.338 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.338 * [taylor]: Taking taylor expansion of x in y 0.338 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.338 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.338 * [taylor]: Taking taylor expansion of y in x 0.338 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.338 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.338 * [taylor]: Taking taylor expansion of y in x 0.338 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.339 * [taylor]: Taking taylor expansion of 0 in y 0.339 * [taylor]: Taking taylor expansion of 1 in y 0.341 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.343 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.343 * [taylor]: Taking taylor expansion of x in y 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.343 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.345 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.345 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of 1 in y 0.347 * [taylor]: Taking taylor expansion of 0 in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.348 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.350 * [taylor]: Taking taylor expansion of 0 in y 0.352 * [taylor]: Taking taylor expansion of 0 in y 0.354 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.354 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.354 * [taylor]: Taking taylor expansion of x in y 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.355 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.355 * [taylor]: Taking taylor expansion of y in x 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.356 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.356 * [taylor]: Taking taylor expansion of y in x 0.356 * [taylor]: Taking taylor expansion of 1 in y 0.358 * [taylor]: Taking taylor expansion of 0 in y 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.359 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.359 * [taylor]: Taking taylor expansion of y in y 0.361 * [taylor]: Taking taylor expansion of 0 in y 0.364 * [taylor]: Taking taylor expansion of 0 in y 0.365 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.365 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in (x y z) around 0 0.365 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.365 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.365 * [taylor]: Taking taylor expansion of x in z 0.365 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.365 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.365 * [taylor]: Taking taylor expansion of y in z 0.365 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.365 * [taylor]: Taking taylor expansion of z in z 0.365 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.365 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.365 * [taylor]: Taking taylor expansion of x in y 0.365 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.365 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.365 * [taylor]: Taking taylor expansion of y in y 0.366 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.366 * [taylor]: Taking taylor expansion of z in y 0.366 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.366 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.366 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.366 * [taylor]: Taking taylor expansion of y in x 0.366 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.366 * [taylor]: Taking taylor expansion of z in x 0.366 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.366 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.366 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.366 * [taylor]: Taking taylor expansion of y in x 0.366 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.366 * [taylor]: Taking taylor expansion of z in x 0.366 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.366 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.366 * [taylor]: Taking taylor expansion of y in y 0.366 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.366 * [taylor]: Taking taylor expansion of z in y 0.366 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.366 * [taylor]: Taking taylor expansion of z in z 0.367 * [taylor]: Taking taylor expansion of 0 in y 0.367 * [taylor]: Taking taylor expansion of 0 in z 0.367 * [taylor]: Taking taylor expansion of 0 in z 0.369 * [taylor]: Taking taylor expansion of 1 in y 0.369 * [taylor]: Taking taylor expansion of 1 in z 0.369 * [taylor]: Taking taylor expansion of 0 in z 0.369 * [taylor]: Taking taylor expansion of 1 in z 0.371 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.371 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.371 * [taylor]: Taking taylor expansion of x in z 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.371 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.371 * [taylor]: Taking taylor expansion of z in z 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.371 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.371 * [taylor]: Taking taylor expansion of y in z 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.371 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.371 * [taylor]: Taking taylor expansion of x in y 0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.372 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.372 * [taylor]: Taking taylor expansion of z in y 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.372 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.372 * [taylor]: Taking taylor expansion of y in y 0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.372 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.373 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.373 * [taylor]: Taking taylor expansion of z in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.373 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.373 * [taylor]: Taking taylor expansion of y in x 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.374 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.374 * [taylor]: Taking taylor expansion of z in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of 1 in y 0.375 * [taylor]: Taking taylor expansion of 0 in y 0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.377 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.377 * [taylor]: Taking taylor expansion of z in y 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.377 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.377 * [taylor]: Taking taylor expansion of y in y 0.378 * [taylor]: Taking taylor expansion of 1 in z 0.378 * [taylor]: Taking taylor expansion of 1 in z 0.380 * [taylor]: Taking taylor expansion of 0 in y 0.381 * [taylor]: Taking taylor expansion of 0 in z 0.381 * [taylor]: Taking taylor expansion of 0 in z 0.381 * [taylor]: Taking taylor expansion of 0 in z 0.388 * [taylor]: Taking taylor expansion of 0 in y 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.389 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.389 * [taylor]: Taking taylor expansion of z in z 0.390 * [taylor]: Taking taylor expansion of 0 in z 0.390 * [taylor]: Taking taylor expansion of 0 in z 0.391 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.391 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.391 * [taylor]: Taking taylor expansion of x in z 0.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.391 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.391 * [taylor]: Taking taylor expansion of z in z 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.392 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.392 * [taylor]: Taking taylor expansion of y in z 0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.392 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.392 * [taylor]: Taking taylor expansion of x in y 0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.392 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.392 * [taylor]: Taking taylor expansion of z in y 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.392 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.393 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.393 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.393 * [taylor]: Taking taylor expansion of z in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.393 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.393 * [taylor]: Taking taylor expansion of y in x 0.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.393 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.394 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.394 * [taylor]: Taking taylor expansion of z in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.394 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.394 * [taylor]: Taking taylor expansion of y in x 0.395 * [taylor]: Taking taylor expansion of 1 in y 0.396 * [taylor]: Taking taylor expansion of 0 in y 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.397 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.397 * [taylor]: Taking taylor expansion of z in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.397 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.398 * [taylor]: Taking taylor expansion of 1 in z 0.398 * [taylor]: Taking taylor expansion of 1 in z 0.400 * [taylor]: Taking taylor expansion of 0 in y 0.401 * [taylor]: Taking taylor expansion of 0 in z 0.401 * [taylor]: Taking taylor expansion of 0 in z 0.401 * [taylor]: Taking taylor expansion of 0 in z 0.404 * [taylor]: Taking taylor expansion of 0 in y 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.405 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.405 * [taylor]: Taking taylor expansion of z in z 0.405 * [taylor]: Taking taylor expansion of 0 in z 0.405 * [taylor]: Taking taylor expansion of 0 in z 0.406 * * * [progress]: simplifying candidates 0.407 * [simplify]: Simplifying using # : (expm1 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (log1p (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (log (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (exp (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (* (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))) (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (* (* (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (* (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))) (sqrt (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0))) (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) 1)) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0))) (sqrt (/ 1 (sqrt 3.0))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0))) (sqrt (/ 1 1)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt 1) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0) (/ 1 2) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (expm1 (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (log1p (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (- (log (+ (+ (* x x) (* y y)) (* z z))) (log 3.0)) (log (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (exp (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (/ (* (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z))) (* (* 3.0 3.0) 3.0)) (* (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (* (* (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (- (+ (+ (* x x) (* y y)) (* z z))) (- 3.0) (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)) (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) 3.0) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0)) (/ 1 1) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) (/ 1 3.0) (/ 3.0 (+ (+ (* x x) (* y y)) (* z z))) (/ (+ (+ (* x x) (* y y)) (* z z)) (* (cbrt 3.0) (cbrt 3.0))) (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0)) (/ (+ (+ (* x x) (* y y)) (* z z)) 1) (/ 3.0 (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (/ 3.0 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ 3.0 (+ (+ (* x x) (* y y)) (* z z))) (* 3.0 (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (* 3.0 (- (+ (* x x) (* y y)) (* z z))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (expm1 (+ (+ (* x x) (* y y)) (* z z))) (log1p (+ (+ (* x x) (* y y)) (* z z))) (* (* (exp (* x x)) (exp (* y y))) (exp (* z z))) (* (exp (+ (* x x) (* y y))) (exp (* z z))) (log (+ (+ (* x x) (* y y)) (* z z))) (exp (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (+ (+ (* x x) (* y y)) (* z z))) (* (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))) (- (+ (* x x) (* y y)) (* z z)) (+ (* y y) (* z z)) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2)))) (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2)))) (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2)))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (+ (pow y 2) (pow z 2))) 0.414 * * [simplify]: iteration 0 : 345 enodes (cost 852 ) 0.422 * * [simplify]: iteration 1 : 1445 enodes (cost 759 ) 0.445 * * [simplify]: iteration 2 : 5001 enodes (cost 739 ) 0.449 * [simplify]: Simplified to: (expm1 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (log1p (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (log (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (exp (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (* (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))) (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (pow (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) 3) (fabs (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (fabs (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0))) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0))) (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0))) (sqrt (/ 1 (sqrt 3.0))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0))) 1 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) 1 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0) 1/2 (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (expm1 (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (log1p (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (- (log (fma x x (fma y y (* z z)))) (log 3.0)) (- (log (fma x x (fma y y (* z z)))) (log 3.0)) (exp (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (pow (/ (fma x x (fma y y (* z z))) 3.0) 3) (* (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (pow (/ (fma x x (fma y y (* z z))) 3.0) 3) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (- (fma x x (fma y y (* z z)))) (- 3.0) (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)) (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) 3.0) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (fma x x (fma y y (* z z))) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (fma x x (fma y y (* z z))) (sqrt 3.0)) 1 (/ (fma x x (fma y y (* z z))) 3.0) (/ 1 3.0) (/ 3.0 (fma x x (fma y y (* z z)))) (/ (/ (fma x x (fma y y (* z z))) (cbrt 3.0)) (cbrt 3.0)) (/ (fma x x (fma y y (* z z))) (sqrt 3.0)) (fma x x (fma y y (* z z))) (/ 3.0 (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (/ 3.0 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ 3.0 (fma x x (fma y y (* z z)))) (fma (* 3.0 (fma x x (* y y))) (fma x x (* y y)) (* (* 3.0 (pow z 2)) (- (pow z 2) (fma x x (* y y))))) (* 3.0 (- (+ (* x x) (* y y)) (* z z))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (fma x x (* y y)) 3) (hypot x y) (hypot x y) (fma (* (pow y 4) y) y (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* x x) (* y y)) (expm1 (+ (+ (* x x) (* y y)) (* z z))) (log1p (+ (+ (* x x) (* y y)) (* z z))) (exp (fma x x (fma y y (* z z)))) (exp (fma x x (fma y y (* z z)))) (log (fma x x (fma y y (* z z)))) (exp (fma x x (fma y y (* z z)))) (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (+ (+ (* x x) (* y y)) (* z z))) (pow (fma x x (fma y y (* z z))) 3) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fma (* (pow z 4) z) z (pow (fma x x (* y y)) 3)) (fma (pow z 2) (- (pow z 2) (fma x x (* y y))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))) (* (fma x x (- (pow y 2) (pow z 2))) (fma x x (fma y y (* z z)))) (fma x x (- (pow y 2) (pow z 2))) (fma y y (* z z)) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) (* 0.3333333333333333 (fma x x (fma y y (* z z)))) (* 0.3333333333333333 (fma x x (fma y y (* z z)))) (* 0.3333333333333333 (fma x x (fma y y (* z z)))) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) (fma x x (fma y y (* z z))) (fma x x (fma y y (* z z))) (fma x x (fma y y (* z z))) 0.450 * * * [progress]: adding candidates to table 0.747 * * [progress]: iteration 2 / 4 0.747 * * * [progress]: picking best candidate 0.756 * * * * [pick]: Picked # 0.756 * * * [progress]: localizing error 0.769 * * * [progress]: generating rewritten candidates 0.769 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.784 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.826 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.829 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.845 * * * [progress]: generating series expansions 0.845 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.845 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.845 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.845 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.845 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.845 * [taylor]: Taking taylor expansion of x in z 0.845 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.845 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.845 * [taylor]: Taking taylor expansion of y in z 0.845 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.845 * [taylor]: Taking taylor expansion of z in z 0.847 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.847 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.847 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.847 * [taylor]: Taking taylor expansion of x in y 0.847 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.847 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.847 * [taylor]: Taking taylor expansion of y in y 0.847 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.847 * [taylor]: Taking taylor expansion of z in y 0.848 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.848 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.848 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.849 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.849 * [taylor]: Taking taylor expansion of y in x 0.849 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.849 * [taylor]: Taking taylor expansion of z in x 0.850 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.850 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.850 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.850 * [taylor]: Taking taylor expansion of x in x 0.850 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.850 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.850 * [taylor]: Taking taylor expansion of y in x 0.850 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.850 * [taylor]: Taking taylor expansion of z in x 0.851 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.851 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.851 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.851 * [taylor]: Taking taylor expansion of y in y 0.851 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.852 * [taylor]: Taking taylor expansion of z in y 0.852 * [taylor]: Taking taylor expansion of z in z 0.852 * [taylor]: Taking taylor expansion of 0 in y 0.852 * [taylor]: Taking taylor expansion of 0 in z 0.852 * [taylor]: Taking taylor expansion of 0 in z 0.854 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.854 * [taylor]: Taking taylor expansion of 1/2 in y 0.854 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.854 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.854 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.854 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.854 * [taylor]: Taking taylor expansion of y in y 0.854 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.854 * [taylor]: Taking taylor expansion of z in y 0.855 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.855 * [taylor]: Taking taylor expansion of 1/2 in z 0.855 * [taylor]: Taking taylor expansion of z in z 0.856 * [taylor]: Taking taylor expansion of 0 in z 0.857 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.857 * [taylor]: Taking taylor expansion of 1/2 in z 0.857 * [taylor]: Taking taylor expansion of z in z 0.858 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.859 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.859 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.859 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.859 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.859 * [taylor]: Taking taylor expansion of x in z 0.859 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.859 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.859 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.859 * [taylor]: Taking taylor expansion of z 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 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.862 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.862 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.862 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.862 * [taylor]: Taking taylor expansion of x in y 0.862 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.862 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.862 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.862 * [taylor]: Taking taylor expansion of z in y 0.862 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.862 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.862 * [taylor]: Taking taylor expansion of y in y 0.865 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.865 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.865 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.865 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.866 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.866 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.866 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.866 * [taylor]: Taking taylor expansion of z in x 0.866 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.866 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.866 * [taylor]: Taking taylor expansion of y in x 0.868 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.868 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.868 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.868 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.868 * [taylor]: Taking taylor expansion of x in x 0.869 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.869 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.869 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.869 * [taylor]: Taking taylor expansion of z in x 0.869 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.869 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.869 * [taylor]: Taking taylor expansion of y in x 0.871 * [taylor]: Taking taylor expansion of 1 in y 0.871 * [taylor]: Taking taylor expansion of 0 in y 0.871 * [taylor]: Taking taylor expansion of 1 in z 0.873 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.874 * [taylor]: Taking taylor expansion of 1/2 in y 0.874 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.874 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.874 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.874 * [taylor]: Taking taylor expansion of z in y 0.874 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.874 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.874 * [taylor]: Taking taylor expansion of y in y 0.876 * [taylor]: Taking taylor expansion of 0 in z 0.876 * [taylor]: Taking taylor expansion of 0 in z 0.876 * [taylor]: Taking taylor expansion of 0 in z 0.879 * [taylor]: Taking taylor expansion of 0 in y 0.880 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.880 * [taylor]: Taking taylor expansion of 1/2 in z 0.880 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.880 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.880 * [taylor]: Taking taylor expansion of z in z 0.882 * [taylor]: Taking taylor expansion of 0 in z 0.882 * [taylor]: Taking taylor expansion of 0 in z 0.886 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 0.886 * [taylor]: Taking taylor expansion of -1/2 in y 0.886 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 0.886 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.886 * [taylor]: Taking taylor expansion of 1/4 in y 0.886 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.886 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.886 * [taylor]: Taking taylor expansion of z in y 0.886 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.886 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.886 * [taylor]: Taking taylor expansion of 1/2 in y 0.886 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.886 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.886 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.886 * [taylor]: Taking taylor expansion of z in y 0.886 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.886 * [taylor]: Taking taylor expansion of y in y 0.887 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.887 * [taylor]: Taking taylor expansion of 1/4 in y 0.887 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.887 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.887 * [taylor]: Taking taylor expansion of y in y 0.897 * [taylor]: Taking taylor expansion of 0 in z 0.897 * [taylor]: Taking taylor expansion of 0 in z 0.900 * [taylor]: Taking taylor expansion of 0 in z 0.900 * [taylor]: Taking taylor expansion of 0 in z 0.900 * [taylor]: Taking taylor expansion of 0 in z 0.902 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.902 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.902 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.902 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.902 * [taylor]: Taking taylor expansion of x in z 0.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.902 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.902 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.902 * [taylor]: Taking taylor expansion of z in z 0.902 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.902 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.902 * [taylor]: Taking taylor expansion of y in z 0.905 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.905 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.905 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.905 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.905 * [taylor]: Taking taylor expansion of x in y 0.905 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.905 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.905 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.905 * [taylor]: Taking taylor expansion of z in y 0.905 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.905 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.905 * [taylor]: Taking taylor expansion of y in y 0.911 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.911 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.911 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.911 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.911 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.912 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.912 * [taylor]: Taking taylor expansion of z in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.912 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.912 * [taylor]: Taking taylor expansion of y in x 0.914 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.914 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.914 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.914 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.915 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.915 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.915 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.915 * [taylor]: Taking taylor expansion of z in x 0.915 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.915 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.915 * [taylor]: Taking taylor expansion of y in x 0.917 * [taylor]: Taking taylor expansion of 1 in y 0.917 * [taylor]: Taking taylor expansion of 0 in y 0.917 * [taylor]: Taking taylor expansion of 1 in z 0.919 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.920 * [taylor]: Taking taylor expansion of 1/2 in y 0.920 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.920 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.920 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.920 * [taylor]: Taking taylor expansion of z in y 0.920 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.920 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.920 * [taylor]: Taking taylor expansion of y in y 0.922 * [taylor]: Taking taylor expansion of 0 in z 0.922 * [taylor]: Taking taylor expansion of 0 in z 0.922 * [taylor]: Taking taylor expansion of 0 in z 0.924 * [taylor]: Taking taylor expansion of 0 in y 0.926 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.926 * [taylor]: Taking taylor expansion of 1/2 in z 0.926 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.926 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.926 * [taylor]: Taking taylor expansion of z in z 0.928 * [taylor]: Taking taylor expansion of 0 in z 0.928 * [taylor]: Taking taylor expansion of 0 in z 0.932 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 0.932 * [taylor]: Taking taylor expansion of -1/2 in y 0.932 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 0.932 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.932 * [taylor]: Taking taylor expansion of 1/4 in y 0.932 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.932 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.932 * [taylor]: Taking taylor expansion of z in y 0.933 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.933 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.933 * [taylor]: Taking taylor expansion of 1/2 in y 0.933 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.933 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.933 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.933 * [taylor]: Taking taylor expansion of z in y 0.933 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.933 * [taylor]: Taking taylor expansion of y in y 0.933 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.933 * [taylor]: Taking taylor expansion of 1/4 in y 0.933 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.933 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.933 * [taylor]: Taking taylor expansion of y in y 0.943 * [taylor]: Taking taylor expansion of 0 in z 0.943 * [taylor]: Taking taylor expansion of 0 in z 0.946 * [taylor]: Taking taylor expansion of 0 in z 0.946 * [taylor]: Taking taylor expansion of 0 in z 0.946 * [taylor]: Taking taylor expansion of 0 in z 0.947 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.948 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in (x y z) around 0 0.948 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z 0.948 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.948 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.948 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.948 * [taylor]: Taking taylor expansion of x in z 0.948 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.948 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.948 * [taylor]: Taking taylor expansion of y in z 0.948 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.948 * [taylor]: Taking taylor expansion of z in z 0.949 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.949 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.950 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 0.950 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.950 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.950 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.950 * [taylor]: Taking taylor expansion of x in y 0.950 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.950 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.950 * [taylor]: Taking taylor expansion of y in y 0.950 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.950 * [taylor]: Taking taylor expansion of z in y 0.951 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.951 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.952 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x 0.952 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.952 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.952 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.952 * [taylor]: Taking taylor expansion of x in x 0.952 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.952 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.952 * [taylor]: Taking taylor expansion of y in x 0.952 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.952 * [taylor]: Taking taylor expansion of z in x 0.953 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.953 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.954 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x 0.954 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.954 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.954 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.954 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.954 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.954 * [taylor]: Taking taylor expansion of y in x 0.954 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.954 * [taylor]: Taking taylor expansion of z in x 0.955 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.955 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.956 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y 0.957 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.957 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.957 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.957 * [taylor]: Taking taylor expansion of y in y 0.957 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.957 * [taylor]: Taking taylor expansion of z in y 0.957 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.957 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.958 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z 0.958 * [taylor]: Taking taylor expansion of z in z 0.958 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.958 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.960 * [taylor]: Taking taylor expansion of 0 in y 0.960 * [taylor]: Taking taylor expansion of 0 in z 0.960 * [taylor]: Taking taylor expansion of 0 in z 0.965 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y 0.965 * [taylor]: Taking taylor expansion of 1/2 in y 0.965 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 0.965 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.965 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.965 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.965 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.965 * [taylor]: Taking taylor expansion of y in y 0.965 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.965 * [taylor]: Taking taylor expansion of z in y 0.966 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.966 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.967 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 0.967 * [taylor]: Taking taylor expansion of 1/2 in z 0.967 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 0.967 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.967 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.968 * [taylor]: Taking taylor expansion of z in z 0.970 * [taylor]: Taking taylor expansion of 0 in z 0.972 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 0.972 * [taylor]: Taking taylor expansion of 1/2 in z 0.972 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 0.972 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.972 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.973 * [taylor]: Taking taylor expansion of z in z 0.977 * [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 0.977 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.977 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.977 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.977 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.977 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.977 * [taylor]: Taking taylor expansion of x in z 0.977 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.977 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.977 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.977 * [taylor]: Taking taylor expansion of z in z 0.978 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.978 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.978 * [taylor]: Taking taylor expansion of y in z 0.980 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.980 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.981 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 0.981 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.981 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.981 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.981 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.981 * [taylor]: Taking taylor expansion of x in y 0.981 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.981 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.981 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.981 * [taylor]: Taking taylor expansion of z in y 0.982 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.982 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.982 * [taylor]: Taking taylor expansion of y in y 0.984 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.984 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.985 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.985 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.985 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.985 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.986 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.986 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.986 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.986 * [taylor]: Taking taylor expansion of z in x 0.986 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.986 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.986 * [taylor]: Taking taylor expansion of y in x 0.988 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.988 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.989 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.989 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.989 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.989 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.989 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.989 * [taylor]: Taking taylor expansion of x in x 0.989 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.989 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.989 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.989 * [taylor]: Taking taylor expansion of z in x 0.990 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.990 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.990 * [taylor]: Taking taylor expansion of y in x 0.992 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.992 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.993 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.993 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.994 * [taylor]: Taking taylor expansion of 0 in y 0.994 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.994 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.002 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 1.002 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 1.002 * [taylor]: Taking taylor expansion of 1/2 in y 1.002 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 1.002 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.002 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.003 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.003 * [taylor]: Taking taylor expansion of z in y 1.003 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 1.003 * [taylor]: Taking taylor expansion of 1/2 in y 1.003 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 1.003 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.003 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.004 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.004 * [taylor]: Taking taylor expansion of y in y 1.006 * [taylor]: Taking taylor expansion of 0 in z 1.006 * [taylor]: Taking taylor expansion of 0 in z 1.006 * [taylor]: Taking taylor expansion of 0 in z 1.012 * [taylor]: Taking taylor expansion of 0 in y 1.015 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 1.015 * [taylor]: Taking taylor expansion of 1/2 in z 1.015 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 1.015 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.015 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.016 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.016 * [taylor]: Taking taylor expansion of z in z 1.018 * [taylor]: Taking taylor expansion of 0 in z 1.018 * [taylor]: Taking taylor expansion of 0 in z 1.025 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))))) in y 1.025 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))) in y 1.025 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 1.025 * [taylor]: Taking taylor expansion of 1/8 in y 1.025 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 1.025 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.025 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.026 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.026 * [taylor]: Taking taylor expansion of z in y 1.026 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))) in y 1.026 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 1.026 * [taylor]: Taking taylor expansion of 1/4 in y 1.026 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 1.026 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.026 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.027 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.027 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.027 * [taylor]: Taking taylor expansion of z in y 1.027 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.027 * [taylor]: Taking taylor expansion of y in y 1.028 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 1.028 * [taylor]: Taking taylor expansion of 1/8 in y 1.028 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 1.028 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.028 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.029 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.029 * [taylor]: Taking taylor expansion of y in y 1.039 * [taylor]: Taking taylor expansion of 0 in z 1.039 * [taylor]: Taking taylor expansion of 0 in z 1.043 * [taylor]: Taking taylor expansion of 0 in z 1.043 * [taylor]: Taking taylor expansion of 0 in z 1.044 * [taylor]: Taking taylor expansion of 0 in z 1.047 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0 1.047 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 1.047 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 1.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.047 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.047 * [taylor]: Taking taylor expansion of x in z 1.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.048 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.048 * [taylor]: Taking taylor expansion of z in z 1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.048 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.048 * [taylor]: Taking taylor expansion of y in z 1.051 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.051 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.051 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 1.051 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.051 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.051 * [taylor]: Taking taylor expansion of x in y 1.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.052 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.052 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.052 * [taylor]: Taking taylor expansion of z in y 1.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.052 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.052 * [taylor]: Taking taylor expansion of y in y 1.055 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.055 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.055 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 1.055 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.055 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.055 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.055 * [taylor]: Taking taylor expansion of x in x 1.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.056 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.056 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.056 * [taylor]: Taking taylor expansion of z in x 1.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.056 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.056 * [taylor]: Taking taylor expansion of y in x 1.058 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.058 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.059 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 1.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.060 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.060 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.060 * [taylor]: Taking taylor expansion of z in x 1.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.060 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.060 * [taylor]: Taking taylor expansion of y in x 1.062 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.062 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.063 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.063 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.064 * [taylor]: Taking taylor expansion of 0 in y 1.064 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.064 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.069 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 1.069 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 1.069 * [taylor]: Taking taylor expansion of 1/2 in y 1.069 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 1.069 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.069 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.070 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.070 * [taylor]: Taking taylor expansion of z in y 1.070 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 1.070 * [taylor]: Taking taylor expansion of 1/2 in y 1.070 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 1.070 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.070 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.071 * [taylor]: Taking taylor expansion of y in y 1.073 * [taylor]: Taking taylor expansion of 0 in z 1.073 * [taylor]: Taking taylor expansion of 0 in z 1.073 * [taylor]: Taking taylor expansion of 0 in z 1.078 * [taylor]: Taking taylor expansion of 0 in y 1.081 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 1.081 * [taylor]: Taking taylor expansion of 1/2 in z 1.081 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 1.081 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.081 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.082 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.082 * [taylor]: Taking taylor expansion of z in z 1.087 * [taylor]: Taking taylor expansion of 0 in z 1.088 * [taylor]: Taking taylor expansion of 0 in z 1.095 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))))) in y 1.095 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))) in y 1.095 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 1.095 * [taylor]: Taking taylor expansion of 1/8 in y 1.095 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 1.095 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.095 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.096 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.096 * [taylor]: Taking taylor expansion of z in y 1.096 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))) in y 1.096 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 1.096 * [taylor]: Taking taylor expansion of 1/4 in y 1.096 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 1.096 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.096 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.097 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.097 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.097 * [taylor]: Taking taylor expansion of z in y 1.097 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.097 * [taylor]: Taking taylor expansion of y in y 1.098 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 1.098 * [taylor]: Taking taylor expansion of 1/8 in y 1.098 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 1.098 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.098 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.098 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.098 * [taylor]: Taking taylor expansion of y in y 1.108 * [taylor]: Taking taylor expansion of 0 in z 1.108 * [taylor]: Taking taylor expansion of 0 in z 1.112 * [taylor]: Taking taylor expansion of 0 in z 1.112 * [taylor]: Taking taylor expansion of 0 in z 1.113 * [taylor]: Taking taylor expansion of 0 in z 1.116 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.116 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 1.116 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.116 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.116 * [taylor]: Taking taylor expansion of x in y 1.116 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.116 * [taylor]: Taking taylor expansion of y in y 1.116 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.116 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.116 * [taylor]: Taking taylor expansion of y in x 1.116 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.116 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.116 * [taylor]: Taking taylor expansion of y in x 1.116 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.116 * [taylor]: Taking taylor expansion of y in y 1.117 * [taylor]: Taking taylor expansion of 0 in y 1.117 * [taylor]: Taking taylor expansion of 1 in y 1.119 * [taylor]: Taking taylor expansion of 0 in y 1.121 * [taylor]: Taking taylor expansion of 0 in y 1.121 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.121 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.121 * [taylor]: Taking taylor expansion of x in y 1.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.121 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.121 * [taylor]: Taking taylor expansion of y in y 1.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.122 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.122 * [taylor]: Taking taylor expansion of y in x 1.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.123 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.123 * [taylor]: Taking taylor expansion of y in x 1.123 * [taylor]: Taking taylor expansion of 1 in y 1.125 * [taylor]: Taking taylor expansion of 0 in y 1.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.126 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.126 * [taylor]: Taking taylor expansion of y in y 1.128 * [taylor]: Taking taylor expansion of 0 in y 1.131 * [taylor]: Taking taylor expansion of 0 in y 1.132 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.132 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.132 * [taylor]: Taking taylor expansion of x in y 1.132 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.132 * [taylor]: Taking taylor expansion of y in y 1.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.133 * [taylor]: Taking taylor expansion of x in x 1.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.133 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.133 * [taylor]: Taking taylor expansion of y in x 1.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.133 * [taylor]: Taking taylor expansion of x in x 1.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.134 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.134 * [taylor]: Taking taylor expansion of y in x 1.134 * [taylor]: Taking taylor expansion of 1 in y 1.135 * [taylor]: Taking taylor expansion of 0 in y 1.137 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.137 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.137 * [taylor]: Taking taylor expansion of y in y 1.139 * [taylor]: Taking taylor expansion of 0 in y 1.141 * [taylor]: Taking taylor expansion of 0 in y 1.143 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.143 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in (x y z) around 0 1.143 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 1.143 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.143 * [taylor]: Taking taylor expansion of x in z 1.143 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 1.143 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.143 * [taylor]: Taking taylor expansion of y in z 1.143 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.143 * [taylor]: Taking taylor expansion of z in z 1.143 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 1.143 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.143 * [taylor]: Taking taylor expansion of x in y 1.143 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.143 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.143 * [taylor]: Taking taylor expansion of y in y 1.143 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.143 * [taylor]: Taking taylor expansion of z in y 1.143 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 1.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.143 * [taylor]: Taking taylor expansion of x in x 1.143 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 1.143 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.143 * [taylor]: Taking taylor expansion of y in x 1.143 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.143 * [taylor]: Taking taylor expansion of z in x 1.143 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 1.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.143 * [taylor]: Taking taylor expansion of x in x 1.143 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 1.143 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.143 * [taylor]: Taking taylor expansion of y in x 1.143 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.143 * [taylor]: Taking taylor expansion of z in x 1.144 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.144 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.144 * [taylor]: Taking taylor expansion of y in y 1.144 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.144 * [taylor]: Taking taylor expansion of z in y 1.144 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.144 * [taylor]: Taking taylor expansion of z in z 1.144 * [taylor]: Taking taylor expansion of 0 in y 1.144 * [taylor]: Taking taylor expansion of 0 in z 1.145 * [taylor]: Taking taylor expansion of 0 in z 1.146 * [taylor]: Taking taylor expansion of 1 in y 1.146 * [taylor]: Taking taylor expansion of 1 in z 1.146 * [taylor]: Taking taylor expansion of 0 in z 1.147 * [taylor]: Taking taylor expansion of 1 in z 1.148 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 1.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 1.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.148 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.148 * [taylor]: Taking taylor expansion of x in z 1.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 1.148 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.148 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.148 * [taylor]: Taking taylor expansion of z in z 1.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.149 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.149 * [taylor]: Taking taylor expansion of y in z 1.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.149 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.149 * [taylor]: Taking taylor expansion of x in y 1.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.149 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.149 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.149 * [taylor]: Taking taylor expansion of z in y 1.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.149 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.149 * [taylor]: Taking taylor expansion of y in y 1.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.150 * [taylor]: Taking taylor expansion of x in x 1.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.150 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.150 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.150 * [taylor]: Taking taylor expansion of z in x 1.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.150 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.150 * [taylor]: Taking taylor expansion of y in x 1.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.151 * [taylor]: Taking taylor expansion of x in x 1.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.151 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.151 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.151 * [taylor]: Taking taylor expansion of z in x 1.151 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.151 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.151 * [taylor]: Taking taylor expansion of y in x 1.152 * [taylor]: Taking taylor expansion of 1 in y 1.153 * [taylor]: Taking taylor expansion of 0 in y 1.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.154 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.154 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.154 * [taylor]: Taking taylor expansion of z in y 1.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.155 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.155 * [taylor]: Taking taylor expansion of y in y 1.155 * [taylor]: Taking taylor expansion of 1 in z 1.155 * [taylor]: Taking taylor expansion of 1 in z 1.157 * [taylor]: Taking taylor expansion of 0 in y 1.158 * [taylor]: Taking taylor expansion of 0 in z 1.158 * [taylor]: Taking taylor expansion of 0 in z 1.158 * [taylor]: Taking taylor expansion of 0 in z 1.161 * [taylor]: Taking taylor expansion of 0 in y 1.162 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.162 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.162 * [taylor]: Taking taylor expansion of z in z 1.163 * [taylor]: Taking taylor expansion of 0 in z 1.163 * [taylor]: Taking taylor expansion of 0 in z 1.164 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 1.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 1.164 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.164 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.164 * [taylor]: Taking taylor expansion of x in z 1.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 1.164 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.164 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.164 * [taylor]: Taking taylor expansion of z in z 1.164 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.164 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.164 * [taylor]: Taking taylor expansion of y in z 1.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.165 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.165 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.165 * [taylor]: Taking taylor expansion of x in y 1.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.165 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.165 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.165 * [taylor]: Taking taylor expansion of z in y 1.165 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.165 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.165 * [taylor]: Taking taylor expansion of y in y 1.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.165 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.165 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.165 * [taylor]: Taking taylor expansion of x in x 1.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.166 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.166 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.166 * [taylor]: Taking taylor expansion of z in x 1.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.166 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.166 * [taylor]: Taking taylor expansion of y in x 1.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.166 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.166 * [taylor]: Taking taylor expansion of x in x 1.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.167 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.167 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.167 * [taylor]: Taking taylor expansion of z in x 1.167 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.167 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.167 * [taylor]: Taking taylor expansion of y in x 1.167 * [taylor]: Taking taylor expansion of 1 in y 1.168 * [taylor]: Taking taylor expansion of 0 in y 1.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.170 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.170 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.170 * [taylor]: Taking taylor expansion of z in y 1.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.170 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.170 * [taylor]: Taking taylor expansion of y in y 1.171 * [taylor]: Taking taylor expansion of 1 in z 1.171 * [taylor]: Taking taylor expansion of 1 in z 1.176 * [taylor]: Taking taylor expansion of 0 in y 1.177 * [taylor]: Taking taylor expansion of 0 in z 1.177 * [taylor]: Taking taylor expansion of 0 in z 1.177 * [taylor]: Taking taylor expansion of 0 in z 1.180 * [taylor]: Taking taylor expansion of 0 in y 1.181 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.181 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.181 * [taylor]: Taking taylor expansion of z in z 1.181 * [taylor]: Taking taylor expansion of 0 in z 1.181 * [taylor]: Taking taylor expansion of 0 in z 1.182 * * * [progress]: simplifying candidates 1.184 * [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)) 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z))) (sqrt (/ 1 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (* (+ (+ (* x x) (* y y)) (* z z)) (/ 1 3.0)) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt 1)) (* (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt 3.0)) (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt 1)) (* (sqrt (- (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (sqrt (/ 1 3.0))) (cbrt (sqrt (/ 1 3.0))))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (* (cbrt (/ 1 3.0)) (cbrt (/ 1 3.0))))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 3.0) (cbrt 3.0))))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (sqrt 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (* (cbrt 1) (cbrt 1)) 1))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (sqrt 1) (* (cbrt 3.0) (cbrt 3.0))))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (sqrt 1) 1))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0))))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 1))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1)) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1)) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0))) (* (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1)) (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (/ 1 3.0))) (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (/ 1 3.0))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (expm1 (+ (+ (* x x) (* y y)) (* z z))) (log1p (+ (+ (* x x) (* y y)) (* z z))) (* (* (exp (* x x)) (exp (* y y))) (exp (* z z))) (* (exp (+ (* x x) (* y y))) (exp (* z z))) (log (+ (+ (* x x) (* y y)) (* z z))) (exp (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (+ (+ (* x x) (* y y)) (* z z))) (* (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))) (- (+ (* x x) (* y y)) (* z z)) (+ (* y y) (* z z)) z x (* -1 x) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1.191 * * [simplify]: iteration 0 : 372 enodes (cost 1017 ) 1.198 * * [simplify]: iteration 1 : 1570 enodes (cost 959 ) 1.226 * * [simplify]: iteration 2 : 5001 enodes (cost 931 ) 1.231 * [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) (* 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x) (* y y)) (* z z))) (exp (fma x x (fma y y (* z z)))) (exp (fma x x (fma y y (* z z)))) (log (fma x x (fma y y (* z z)))) (exp (fma x x (fma y y (* z z)))) (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (+ (+ (* x x) (* y y)) (* z z))) (pow (fma x x (fma y y (* z z))) 3) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fma (* (pow z 4) z) z (pow (fma x x (* y y)) 3)) (fma (pow z 2) (- (pow z 2) (fma x x (* y y))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))) (* (fma x x (- (pow y 2) (pow z 2))) (fma x x (fma y y (* z z)))) (fma x x (- (pow y 2) (pow z 2))) (fma y y (* z z)) z x (* -1 x) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) (fma x x (fma y y (* z z))) (fma x x (fma y y (* z z))) (fma x x (fma y y (* z z))) 1.231 * * * [progress]: adding candidates to table 1.531 * * [progress]: iteration 3 / 4 1.531 * * * [progress]: picking best candidate 1.542 * * * * [pick]: Picked # 1.542 * * * [progress]: localizing error 1.553 * * * [progress]: generating rewritten candidates 1.553 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.557 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.567 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.570 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.572 * * * [progress]: generating series expansions 1.573 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.573 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.573 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.573 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.573 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.573 * [taylor]: Taking taylor expansion of x in y 1.573 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.573 * [taylor]: Taking taylor expansion of y in y 1.574 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.574 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.574 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.574 * [taylor]: Taking taylor expansion of x in x 1.574 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.574 * [taylor]: Taking taylor expansion of y in x 1.574 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.574 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.574 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.574 * [taylor]: Taking taylor expansion of x in x 1.574 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.574 * [taylor]: Taking taylor expansion of y in x 1.575 * [taylor]: Taking taylor expansion of y in y 1.575 * [taylor]: Taking taylor expansion of 0 in y 1.576 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.576 * [taylor]: Taking taylor expansion of 1/2 in y 1.576 * [taylor]: Taking taylor expansion of y in y 1.579 * [taylor]: Taking taylor expansion of 0 in y 1.579 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.579 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.579 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.579 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.579 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.579 * [taylor]: Taking taylor expansion of x in y 1.580 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.580 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.580 * [taylor]: Taking taylor expansion of y in y 1.582 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.582 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.582 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.582 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.582 * [taylor]: Taking taylor expansion of x in x 1.583 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.583 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.583 * [taylor]: Taking taylor expansion of y in x 1.585 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.585 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.585 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.585 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.585 * [taylor]: Taking taylor expansion of x in x 1.585 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.585 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.585 * [taylor]: Taking taylor expansion of y in x 1.587 * [taylor]: Taking taylor expansion of 1 in y 1.587 * [taylor]: Taking taylor expansion of 0 in y 1.589 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.590 * [taylor]: Taking taylor expansion of 1/2 in y 1.590 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.590 * [taylor]: Taking taylor expansion of y in y 1.593 * [taylor]: Taking taylor expansion of 0 in y 1.594 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.594 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.594 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.594 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.594 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.594 * [taylor]: Taking taylor expansion of x in y 1.594 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.594 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.594 * [taylor]: Taking taylor expansion of y in y 1.597 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.597 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.597 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.597 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.597 * [taylor]: Taking taylor expansion of x in x 1.597 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.597 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.597 * [taylor]: Taking taylor expansion of y in x 1.603 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.603 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.603 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.603 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.603 * [taylor]: Taking taylor expansion of x in x 1.604 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.604 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.604 * [taylor]: Taking taylor expansion of y in x 1.606 * [taylor]: Taking taylor expansion of 1 in y 1.606 * [taylor]: Taking taylor expansion of 0 in y 1.608 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.608 * [taylor]: Taking taylor expansion of 1/2 in y 1.608 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.608 * [taylor]: Taking taylor expansion of y in y 1.611 * [taylor]: Taking taylor expansion of 0 in y 1.612 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.613 * [approximate]: Taking taylor expansion of (* (hypot (sqrt (+ (pow x 2) (pow y 2))) z) (sqrt 0.3333333333333333)) in (x y z) around 0 1.613 * [taylor]: Taking taylor expansion of (* (hypot (sqrt (+ (pow x 2) (pow y 2))) z) (sqrt 0.3333333333333333)) in z 1.613 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in z 1.614 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 1.614 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in z 1.614 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in z 1.614 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 1.614 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 1.614 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.614 * [taylor]: Taking taylor expansion of x in z 1.614 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.614 * [taylor]: Taking taylor expansion of y in z 1.614 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 1.614 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 1.614 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.614 * [taylor]: Taking taylor expansion of x in z 1.614 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.615 * [taylor]: Taking taylor expansion of y in z 1.615 * [taylor]: Taking taylor expansion of (* z z) in z 1.615 * [taylor]: Taking taylor expansion of z in z 1.615 * [taylor]: Taking taylor expansion of z in z 1.617 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.617 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.618 * [taylor]: Taking taylor expansion of (* (hypot (sqrt (+ (pow x 2) (pow y 2))) z) (sqrt 0.3333333333333333)) in y 1.618 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in y 1.618 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 1.618 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in y 1.618 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in y 1.618 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.618 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.618 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.618 * [taylor]: Taking taylor expansion of x in y 1.618 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.619 * [taylor]: Taking taylor expansion of y in y 1.619 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.619 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.619 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.619 * [taylor]: Taking taylor expansion of x in y 1.619 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.619 * [taylor]: Taking taylor expansion of y in y 1.620 * [taylor]: Taking taylor expansion of (* z z) in y 1.620 * [taylor]: Taking taylor expansion of z in y 1.620 * [taylor]: Taking taylor expansion of z in y 1.621 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.621 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.621 * [taylor]: Taking taylor expansion of (* (hypot (sqrt (+ (pow x 2) (pow y 2))) z) (sqrt 0.3333333333333333)) in x 1.621 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 1.621 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 1.621 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 1.621 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 1.621 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.622 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.622 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.622 * [taylor]: Taking taylor expansion of x in x 1.622 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.622 * [taylor]: Taking taylor expansion of y in x 1.622 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.622 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.622 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.622 * [taylor]: Taking taylor expansion of x in x 1.622 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.622 * [taylor]: Taking taylor expansion of y in x 1.623 * [taylor]: Taking taylor expansion of (* z z) in x 1.623 * [taylor]: Taking taylor expansion of z in x 1.623 * [taylor]: Taking taylor expansion of z in x 1.624 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.624 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.624 * [taylor]: Taking taylor expansion of (* (hypot (sqrt (+ (pow x 2) (pow y 2))) z) (sqrt 0.3333333333333333)) in x 1.624 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 1.624 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 1.624 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 1.624 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 1.625 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.625 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.625 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.625 * [taylor]: Taking taylor expansion of x in x 1.625 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.625 * [taylor]: Taking taylor expansion of y in x 1.625 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.625 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.625 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.625 * [taylor]: Taking taylor expansion of x in x 1.625 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.625 * [taylor]: Taking taylor expansion of y in x 1.626 * [taylor]: Taking taylor expansion of (* z z) in x 1.626 * [taylor]: Taking taylor expansion of z in x 1.626 * [taylor]: Taking taylor expansion of z in x 1.627 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.627 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.628 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y 1.628 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 1.628 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.628 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.628 * [taylor]: Taking taylor expansion of y in y 1.628 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.628 * [taylor]: Taking taylor expansion of z in y 1.628 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.628 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.629 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z 1.629 * [taylor]: Taking taylor expansion of z in z 1.629 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.629 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.631 * [taylor]: Taking taylor expansion of 0 in y 1.631 * [taylor]: Taking taylor expansion of 0 in z 1.631 * [taylor]: Taking taylor expansion of 0 in z 1.638 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y 1.639 * [taylor]: Taking taylor expansion of 1/2 in y 1.639 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 1.639 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 1.639 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 1.639 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.639 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.639 * [taylor]: Taking taylor expansion of y in y 1.639 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.639 * [taylor]: Taking taylor expansion of z in y 1.639 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.639 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.641 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 1.641 * [taylor]: Taking taylor expansion of 1/2 in z 1.641 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 1.641 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.641 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.642 * [taylor]: Taking taylor expansion of z in z 1.643 * [taylor]: Taking taylor expansion of 0 in z 1.646 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 1.646 * [taylor]: Taking taylor expansion of 1/2 in z 1.646 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 1.646 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.646 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.646 * [taylor]: Taking taylor expansion of z in z 1.651 * [approximate]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z))) in (x y z) around 0 1.651 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z))) in z 1.651 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.651 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.652 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in z 1.652 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 1.652 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in z 1.652 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in z 1.652 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 1.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 1.652 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.652 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.652 * [taylor]: Taking taylor expansion of x in z 1.652 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.652 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.652 * [taylor]: Taking taylor expansion of y in z 1.653 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 1.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 1.653 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.653 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.653 * [taylor]: Taking taylor expansion of x in z 1.653 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.654 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.654 * [taylor]: Taking taylor expansion of y in z 1.655 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 1.655 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.655 * [taylor]: Taking taylor expansion of z in z 1.655 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.655 * [taylor]: Taking taylor expansion of z in z 1.658 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z))) in y 1.658 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.658 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.659 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in y 1.659 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 1.659 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in y 1.659 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.659 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.659 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.659 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.659 * [taylor]: Taking taylor expansion of x in y 1.659 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.659 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.659 * [taylor]: Taking taylor expansion of y in y 1.661 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.661 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.661 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.661 * [taylor]: Taking taylor expansion of x in y 1.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.662 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.662 * [taylor]: Taking taylor expansion of y in y 1.664 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 1.664 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.664 * [taylor]: Taking taylor expansion of z in y 1.664 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.664 * [taylor]: Taking taylor expansion of z in y 1.666 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z))) in x 1.666 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.666 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.667 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 1.667 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 1.667 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in x 1.667 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.667 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.667 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.667 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.667 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.667 * [taylor]: Taking taylor expansion of x in x 1.667 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.667 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.667 * [taylor]: Taking taylor expansion of y in x 1.670 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.670 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.670 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.670 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.670 * [taylor]: Taking taylor expansion of x in x 1.670 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.670 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.670 * [taylor]: Taking taylor expansion of y in x 1.672 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.672 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.672 * [taylor]: Taking taylor expansion of z in x 1.672 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.672 * [taylor]: Taking taylor expansion of z in x 1.674 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z))) in x 1.674 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.674 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.675 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 1.675 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 1.675 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in x 1.675 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.675 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.675 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.675 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.675 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.675 * [taylor]: Taking taylor expansion of x in x 1.676 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.676 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.676 * [taylor]: Taking taylor expansion of y in x 1.678 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.678 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.678 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.678 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.678 * [taylor]: Taking taylor expansion of x in x 1.678 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.678 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.678 * [taylor]: Taking taylor expansion of y in x 1.680 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.681 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.681 * [taylor]: Taking taylor expansion of z in x 1.681 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.681 * [taylor]: Taking taylor expansion of z in x 1.683 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.683 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.684 * [taylor]: Taking taylor expansion of 0 in y 1.684 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.684 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.692 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 1.693 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 1.693 * [taylor]: Taking taylor expansion of 1/2 in y 1.693 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 1.693 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.693 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.697 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.697 * [taylor]: Taking taylor expansion of z in y 1.697 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 1.698 * [taylor]: Taking taylor expansion of 1/2 in y 1.698 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 1.698 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.698 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.698 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.698 * [taylor]: Taking taylor expansion of y in y 1.701 * [taylor]: Taking taylor expansion of 0 in z 1.701 * [taylor]: Taking taylor expansion of 0 in z 1.701 * [taylor]: Taking taylor expansion of 0 in z 1.708 * [taylor]: Taking taylor expansion of 0 in y 1.711 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 1.712 * [taylor]: Taking taylor expansion of 1/2 in z 1.712 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 1.712 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.712 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.712 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.712 * [taylor]: Taking taylor expansion of z in z 1.715 * [taylor]: Taking taylor expansion of 0 in z 1.715 * [taylor]: Taking taylor expansion of 0 in z 1.726 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))))) in y 1.726 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))) in y 1.726 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 1.726 * [taylor]: Taking taylor expansion of 1/8 in y 1.726 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 1.726 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.726 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.727 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.727 * [taylor]: Taking taylor expansion of z in y 1.727 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))) in y 1.727 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 1.727 * [taylor]: Taking taylor expansion of 1/4 in y 1.727 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 1.727 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.727 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.728 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.728 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.728 * [taylor]: Taking taylor expansion of z in y 1.728 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.728 * [taylor]: Taking taylor expansion of y in y 1.729 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 1.729 * [taylor]: Taking taylor expansion of 1/8 in y 1.729 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 1.729 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.729 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.729 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.729 * [taylor]: Taking taylor expansion of y in y 1.739 * [taylor]: Taking taylor expansion of 0 in z 1.740 * [taylor]: Taking taylor expansion of 0 in z 1.744 * [taylor]: Taking taylor expansion of 0 in z 1.744 * [taylor]: Taking taylor expansion of 0 in z 1.744 * [taylor]: Taking taylor expansion of 0 in z 1.748 * [approximate]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z))) in (x y z) around 0 1.748 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z))) in z 1.748 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.748 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.749 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in z 1.749 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 1.749 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in z 1.749 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in z 1.749 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 1.749 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 1.749 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.749 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.749 * [taylor]: Taking taylor expansion of x in z 1.749 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.749 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.749 * [taylor]: Taking taylor expansion of y in z 1.750 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 1.750 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 1.750 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.750 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.751 * [taylor]: Taking taylor expansion of x in z 1.751 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.751 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.751 * [taylor]: Taking taylor expansion of y in z 1.752 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 1.752 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.752 * [taylor]: Taking taylor expansion of -1 in z 1.752 * [taylor]: Taking taylor expansion of z in z 1.752 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.752 * [taylor]: Taking taylor expansion of -1 in z 1.752 * [taylor]: Taking taylor expansion of z in z 1.755 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z))) in y 1.755 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.755 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.756 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in y 1.756 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 1.756 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in y 1.756 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.756 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.756 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.756 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.756 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.756 * [taylor]: Taking taylor expansion of x in y 1.756 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.756 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.756 * [taylor]: Taking taylor expansion of y in y 1.759 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.759 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.759 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.759 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.759 * [taylor]: Taking taylor expansion of x in y 1.759 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.759 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.759 * [taylor]: Taking taylor expansion of y in y 1.761 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 1.761 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.761 * [taylor]: Taking taylor expansion of -1 in y 1.761 * [taylor]: Taking taylor expansion of z in y 1.761 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.761 * [taylor]: Taking taylor expansion of -1 in y 1.761 * [taylor]: Taking taylor expansion of z in y 1.763 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z))) in x 1.763 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.763 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.764 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 1.764 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 1.764 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in x 1.764 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.764 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.764 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.764 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.764 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.764 * [taylor]: Taking taylor expansion of x in x 1.765 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.765 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.765 * [taylor]: Taking taylor expansion of y in x 1.767 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.767 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.767 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.767 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.767 * [taylor]: Taking taylor expansion of x in x 1.767 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.767 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.767 * [taylor]: Taking taylor expansion of y in x 1.770 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 1.770 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.770 * [taylor]: Taking taylor expansion of -1 in x 1.770 * [taylor]: Taking taylor expansion of z in x 1.770 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.770 * [taylor]: Taking taylor expansion of -1 in x 1.770 * [taylor]: Taking taylor expansion of z in x 1.772 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z))) in x 1.772 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 1.772 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 1.772 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 1.772 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 1.772 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in x 1.772 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.772 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.772 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.773 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.773 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.773 * [taylor]: Taking taylor expansion of x in x 1.773 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.773 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.773 * [taylor]: Taking taylor expansion of y in x 1.775 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.775 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.775 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.775 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.775 * [taylor]: Taking taylor expansion of x in x 1.776 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.776 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.776 * [taylor]: Taking taylor expansion of y in x 1.778 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 1.778 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.778 * [taylor]: Taking taylor expansion of -1 in x 1.778 * [taylor]: Taking taylor expansion of z in x 1.778 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.778 * [taylor]: Taking taylor expansion of -1 in x 1.778 * [taylor]: Taking taylor expansion of z in x 1.780 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.781 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.782 * [taylor]: Taking taylor expansion of 0 in y 1.782 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.782 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.794 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 1.794 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 1.794 * [taylor]: Taking taylor expansion of 1/2 in y 1.794 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 1.794 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.794 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.795 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.795 * [taylor]: Taking taylor expansion of z in y 1.795 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 1.795 * [taylor]: Taking taylor expansion of 1/2 in y 1.795 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 1.795 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.795 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.796 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.796 * [taylor]: Taking taylor expansion of y in y 1.798 * [taylor]: Taking taylor expansion of 0 in z 1.798 * [taylor]: Taking taylor expansion of 0 in z 1.798 * [taylor]: Taking taylor expansion of 0 in z 1.806 * [taylor]: Taking taylor expansion of 0 in y 1.809 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 1.809 * [taylor]: Taking taylor expansion of 1/2 in z 1.809 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 1.809 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 1.809 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 1.810 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.810 * [taylor]: Taking taylor expansion of z in z 1.812 * [taylor]: Taking taylor expansion of 0 in z 1.813 * [taylor]: Taking taylor expansion of 0 in z 1.823 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))))) in y 1.823 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))) in y 1.823 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 1.823 * [taylor]: Taking taylor expansion of 1/8 in y 1.823 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 1.823 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.823 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.824 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.824 * [taylor]: Taking taylor expansion of z in y 1.825 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))) in y 1.825 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 1.825 * [taylor]: Taking taylor expansion of 1/4 in y 1.825 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 1.825 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.825 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.825 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.825 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.825 * [taylor]: Taking taylor expansion of z in y 1.825 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.825 * [taylor]: Taking taylor expansion of y in y 1.826 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 1.826 * [taylor]: Taking taylor expansion of 1/8 in y 1.826 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 1.826 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 1.826 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 1.827 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.827 * [taylor]: Taking taylor expansion of y in y 1.837 * [taylor]: Taking taylor expansion of 0 in z 1.837 * [taylor]: Taking taylor expansion of 0 in z 1.841 * [taylor]: Taking taylor expansion of 0 in z 1.841 * [taylor]: Taking taylor expansion of 0 in z 1.842 * [taylor]: Taking taylor expansion of 0 in z 1.845 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.845 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 1.845 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.845 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.845 * [taylor]: Taking taylor expansion of x in y 1.845 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.845 * [taylor]: Taking taylor expansion of y in y 1.845 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.845 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.845 * [taylor]: Taking taylor expansion of x in x 1.845 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.845 * [taylor]: Taking taylor expansion of y in x 1.845 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.845 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.845 * [taylor]: Taking taylor expansion of x in x 1.845 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.845 * [taylor]: Taking taylor expansion of y in x 1.845 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.845 * [taylor]: Taking taylor expansion of y in y 1.846 * [taylor]: Taking taylor expansion of 0 in y 1.847 * [taylor]: Taking taylor expansion of 1 in y 1.848 * [taylor]: Taking taylor expansion of 0 in y 1.850 * [taylor]: Taking taylor expansion of 0 in y 1.850 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.851 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.851 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.851 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.851 * [taylor]: Taking taylor expansion of x in y 1.851 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.851 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.851 * [taylor]: Taking taylor expansion of y in y 1.851 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.851 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.851 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.851 * [taylor]: Taking taylor expansion of x in x 1.852 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.852 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.852 * [taylor]: Taking taylor expansion of y in x 1.852 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.852 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.852 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.852 * [taylor]: Taking taylor expansion of x in x 1.852 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.853 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.853 * [taylor]: Taking taylor expansion of y in x 1.853 * [taylor]: Taking taylor expansion of 1 in y 1.854 * [taylor]: Taking taylor expansion of 0 in y 1.855 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.855 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.855 * [taylor]: Taking taylor expansion of y in y 1.857 * [taylor]: Taking taylor expansion of 0 in y 1.860 * [taylor]: Taking taylor expansion of 0 in y 1.861 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.862 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.862 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.862 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.862 * [taylor]: Taking taylor expansion of x in y 1.862 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.862 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.862 * [taylor]: Taking taylor expansion of y in y 1.862 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.862 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.862 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.862 * [taylor]: Taking taylor expansion of x in x 1.863 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.863 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.863 * [taylor]: Taking taylor expansion of y in x 1.863 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.863 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.863 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.863 * [taylor]: Taking taylor expansion of x in x 1.863 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.863 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.864 * [taylor]: Taking taylor expansion of y in x 1.864 * [taylor]: Taking taylor expansion of 1 in y 1.865 * [taylor]: Taking taylor expansion of 0 in y 1.866 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.866 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.866 * [taylor]: Taking taylor expansion of y in y 1.868 * [taylor]: Taking taylor expansion of 0 in y 1.871 * [taylor]: Taking taylor expansion of 0 in y 1.872 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.872 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in (x y z) around 0 1.872 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in z 1.872 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 1.872 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in z 1.872 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in z 1.872 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 1.872 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 1.872 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.873 * [taylor]: Taking taylor expansion of x in z 1.873 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.873 * [taylor]: Taking taylor expansion of y in z 1.876 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 1.876 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 1.876 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.876 * [taylor]: Taking taylor expansion of x in z 1.876 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.877 * [taylor]: Taking taylor expansion of y in z 1.877 * [taylor]: Taking taylor expansion of (* z z) in z 1.877 * [taylor]: Taking taylor expansion of z in z 1.877 * [taylor]: Taking taylor expansion of z in z 1.879 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in y 1.879 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 1.879 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in y 1.879 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in y 1.879 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.879 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.879 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.879 * [taylor]: Taking taylor expansion of x in y 1.879 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.879 * [taylor]: Taking taylor expansion of y in y 1.880 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.880 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.880 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.880 * [taylor]: Taking taylor expansion of x in y 1.880 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.880 * [taylor]: Taking taylor expansion of y in y 1.880 * [taylor]: Taking taylor expansion of (* z z) in y 1.881 * [taylor]: Taking taylor expansion of z in y 1.881 * [taylor]: Taking taylor expansion of z in y 1.881 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 1.881 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 1.881 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 1.881 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 1.881 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.881 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.881 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.881 * [taylor]: Taking taylor expansion of x in x 1.881 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.882 * [taylor]: Taking taylor expansion of y in x 1.882 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.882 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.882 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.882 * [taylor]: Taking taylor expansion of x in x 1.882 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.882 * [taylor]: Taking taylor expansion of y in x 1.883 * [taylor]: Taking taylor expansion of (* z z) in x 1.883 * [taylor]: Taking taylor expansion of z in x 1.883 * [taylor]: Taking taylor expansion of z in x 1.883 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 1.883 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 1.884 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 1.884 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 1.884 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.884 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.884 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.884 * [taylor]: Taking taylor expansion of x in x 1.884 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.884 * [taylor]: Taking taylor expansion of y in x 1.884 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.884 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.884 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.884 * [taylor]: Taking taylor expansion of x in x 1.884 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.884 * [taylor]: Taking taylor expansion of y in x 1.885 * [taylor]: Taking taylor expansion of (* z z) in x 1.885 * [taylor]: Taking taylor expansion of z in x 1.885 * [taylor]: Taking taylor expansion of z in x 1.886 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 1.886 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.886 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.886 * [taylor]: Taking taylor expansion of y in y 1.886 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.886 * [taylor]: Taking taylor expansion of z in y 1.886 * [taylor]: Taking taylor expansion of z in z 1.886 * [taylor]: Taking taylor expansion of 0 in y 1.886 * [taylor]: Taking taylor expansion of 0 in z 1.886 * [taylor]: Taking taylor expansion of 0 in z 1.890 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 1.890 * [taylor]: Taking taylor expansion of 1/2 in y 1.890 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 1.890 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 1.890 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.890 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.890 * [taylor]: Taking taylor expansion of y in y 1.890 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.890 * [taylor]: Taking taylor expansion of z in y 1.891 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.891 * [taylor]: Taking taylor expansion of 1/2 in z 1.891 * [taylor]: Taking taylor expansion of z in z 1.892 * [taylor]: Taking taylor expansion of 0 in z 1.893 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.893 * [taylor]: Taking taylor expansion of 1/2 in z 1.893 * [taylor]: Taking taylor expansion of z in z 1.895 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in (x y z) around 0 1.895 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in z 1.895 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 1.895 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in z 1.895 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in z 1.895 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 1.895 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 1.895 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.895 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.895 * [taylor]: Taking taylor expansion of x in z 1.895 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.895 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.895 * [taylor]: Taking taylor expansion of y in z 1.896 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 1.896 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 1.896 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.896 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.896 * [taylor]: Taking taylor expansion of x in z 1.896 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.896 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.896 * [taylor]: Taking taylor expansion of y in z 1.897 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 1.897 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.897 * [taylor]: Taking taylor expansion of z in z 1.898 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.898 * [taylor]: Taking taylor expansion of z in z 1.901 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in y 1.901 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 1.901 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in y 1.901 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.901 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.901 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.901 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.901 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.901 * [taylor]: Taking taylor expansion of x in y 1.901 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.901 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.901 * [taylor]: Taking taylor expansion of y in y 1.904 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.904 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.904 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.904 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.904 * [taylor]: Taking taylor expansion of x in y 1.904 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.904 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.904 * [taylor]: Taking taylor expansion of y in y 1.906 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 1.906 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.906 * [taylor]: Taking taylor expansion of z in y 1.906 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.906 * [taylor]: Taking taylor expansion of z in y 1.908 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 1.908 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 1.908 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in x 1.908 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.908 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.908 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.908 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.908 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.908 * [taylor]: Taking taylor expansion of x in x 1.909 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.909 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.909 * [taylor]: Taking taylor expansion of y in x 1.911 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.911 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.911 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.911 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.911 * [taylor]: Taking taylor expansion of x in x 1.912 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.912 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.912 * [taylor]: Taking taylor expansion of y in x 1.914 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.914 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.914 * [taylor]: Taking taylor expansion of z in x 1.914 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.914 * [taylor]: Taking taylor expansion of z in x 1.916 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 1.916 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 1.916 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in x 1.916 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.916 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.916 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.916 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.916 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.916 * [taylor]: Taking taylor expansion of x in x 1.916 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.917 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.917 * [taylor]: Taking taylor expansion of y in x 1.919 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.919 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.919 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.919 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.919 * [taylor]: Taking taylor expansion of x in x 1.919 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.919 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.919 * [taylor]: Taking taylor expansion of y in x 1.921 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.921 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.921 * [taylor]: Taking taylor expansion of z in x 1.921 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.921 * [taylor]: Taking taylor expansion of z in x 1.923 * [taylor]: Taking taylor expansion of 1 in y 1.923 * [taylor]: Taking taylor expansion of 0 in y 1.923 * [taylor]: Taking taylor expansion of 1 in z 1.928 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.928 * [taylor]: Taking taylor expansion of 1/2 in y 1.928 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.929 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.929 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.929 * [taylor]: Taking taylor expansion of z in y 1.929 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.929 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.929 * [taylor]: Taking taylor expansion of y in y 1.931 * [taylor]: Taking taylor expansion of 0 in z 1.931 * [taylor]: Taking taylor expansion of 0 in z 1.931 * [taylor]: Taking taylor expansion of 0 in z 1.936 * [taylor]: Taking taylor expansion of 0 in y 1.938 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.938 * [taylor]: Taking taylor expansion of 1/2 in z 1.938 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.938 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.938 * [taylor]: Taking taylor expansion of z in z 1.939 * [taylor]: Taking taylor expansion of 0 in z 1.939 * [taylor]: Taking taylor expansion of 0 in z 1.947 * [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 1.947 * [taylor]: Taking taylor expansion of -1/2 in y 1.947 * [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 1.947 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.947 * [taylor]: Taking taylor expansion of 1/4 in y 1.947 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.948 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.948 * [taylor]: Taking taylor expansion of z in y 1.948 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.948 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.948 * [taylor]: Taking taylor expansion of 1/2 in y 1.948 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.948 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.948 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.948 * [taylor]: Taking taylor expansion of z in y 1.948 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.948 * [taylor]: Taking taylor expansion of y in y 1.948 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.948 * [taylor]: Taking taylor expansion of 1/4 in y 1.948 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.948 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.948 * [taylor]: Taking taylor expansion of y in y 1.959 * [taylor]: Taking taylor expansion of 0 in z 1.959 * [taylor]: Taking taylor expansion of 0 in z 1.961 * [taylor]: Taking taylor expansion of 0 in z 1.961 * [taylor]: Taking taylor expansion of 0 in z 1.961 * [taylor]: Taking taylor expansion of 0 in z 1.966 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in (x y z) around 0 1.966 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in z 1.966 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 1.966 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in z 1.966 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in z 1.966 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 1.966 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 1.966 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.966 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.966 * [taylor]: Taking taylor expansion of x in z 1.966 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.966 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.966 * [taylor]: Taking taylor expansion of y in z 1.968 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 1.968 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 1.968 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.968 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.968 * [taylor]: Taking taylor expansion of x in z 1.968 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.968 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.968 * [taylor]: Taking taylor expansion of y in z 1.969 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 1.969 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.969 * [taylor]: Taking taylor expansion of -1 in z 1.969 * [taylor]: Taking taylor expansion of z in z 1.969 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.969 * [taylor]: Taking taylor expansion of -1 in z 1.969 * [taylor]: Taking taylor expansion of z in z 1.972 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in y 1.972 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 1.972 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in y 1.972 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.972 * [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 1.973 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.973 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.973 * [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 y 1.975 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.975 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.975 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.975 * [taylor]: Taking taylor expansion of x in y 1.975 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.975 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.975 * [taylor]: Taking taylor expansion of y in y 1.978 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 1.978 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.978 * [taylor]: Taking taylor expansion of -1 in y 1.978 * [taylor]: Taking taylor expansion of z in y 1.978 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.978 * [taylor]: Taking taylor expansion of -1 in y 1.978 * [taylor]: Taking taylor expansion of z in y 1.979 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 1.980 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 1.980 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in x 1.980 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.980 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.980 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.980 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.980 * [taylor]: Taking taylor expansion of x in x 1.980 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.980 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.980 * [taylor]: Taking taylor expansion of y in x 1.982 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.982 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.982 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.982 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.982 * [taylor]: Taking taylor expansion of x in x 1.983 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.983 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.983 * [taylor]: Taking taylor expansion of y in x 1.985 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 1.985 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.985 * [taylor]: Taking taylor expansion of -1 in x 1.985 * [taylor]: Taking taylor expansion of z in x 1.985 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.985 * [taylor]: Taking taylor expansion of -1 in x 1.985 * [taylor]: Taking taylor expansion of z in x 1.987 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 1.987 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 1.987 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in x 1.987 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.987 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.987 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.987 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.987 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.987 * [taylor]: Taking taylor expansion of x in x 1.988 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.988 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.988 * [taylor]: Taking taylor expansion of y in x 1.990 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.990 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.990 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.990 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.990 * [taylor]: Taking taylor expansion of x in x 1.990 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.991 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.991 * [taylor]: Taking taylor expansion of y in x 1.993 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 1.993 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.993 * [taylor]: Taking taylor expansion of -1 in x 1.993 * [taylor]: Taking taylor expansion of z in x 1.993 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.993 * [taylor]: Taking taylor expansion of -1 in x 1.993 * [taylor]: Taking taylor expansion of z in x 1.995 * [taylor]: Taking taylor expansion of 1 in y 1.995 * [taylor]: Taking taylor expansion of 0 in y 1.995 * [taylor]: Taking taylor expansion of 1 in z 2.001 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 2.001 * [taylor]: Taking taylor expansion of 1/2 in y 2.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 2.001 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 2.001 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.001 * [taylor]: Taking taylor expansion of z in y 2.001 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.001 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.001 * [taylor]: Taking taylor expansion of y in y 2.003 * [taylor]: Taking taylor expansion of 0 in z 2.003 * [taylor]: Taking taylor expansion of 0 in z 2.003 * [taylor]: Taking taylor expansion of 0 in z 2.009 * [taylor]: Taking taylor expansion of 0 in y 2.011 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 2.011 * [taylor]: Taking taylor expansion of 1/2 in z 2.011 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 2.011 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.011 * [taylor]: Taking taylor expansion of z in z 2.013 * [taylor]: Taking taylor expansion of 0 in z 2.013 * [taylor]: Taking taylor expansion of 0 in z 2.021 * [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 2.021 * [taylor]: Taking taylor expansion of -1/2 in y 2.021 * [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 2.021 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 2.021 * [taylor]: Taking taylor expansion of 1/4 in y 2.021 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 2.021 * [taylor]: Taking taylor expansion of (pow z 4) in y 2.021 * [taylor]: Taking taylor expansion of z in y 2.021 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 2.021 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 2.021 * [taylor]: Taking taylor expansion of 1/2 in y 2.021 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 2.021 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 2.021 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.021 * [taylor]: Taking taylor expansion of z in y 2.021 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.021 * [taylor]: Taking taylor expansion of y in y 2.022 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 2.022 * [taylor]: Taking taylor expansion of 1/4 in y 2.022 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.022 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.022 * [taylor]: Taking taylor expansion of y in y 2.032 * [taylor]: Taking taylor expansion of 0 in z 2.032 * [taylor]: Taking taylor expansion of 0 in z 2.034 * [taylor]: Taking taylor expansion of 0 in z 2.034 * [taylor]: Taking taylor expansion of 0 in z 2.034 * [taylor]: Taking taylor expansion of 0 in z 2.036 * * * [progress]: simplifying candidates 2.038 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* x x) (* y y)))) (log1p (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (expm1 (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (log1p (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))) (+ (log (hypot (sqrt (+ (* x x) (* y y))) z)) (log (sqrt (/ 1 3.0)))) (log (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (exp (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (* (* (* (hypot (sqrt (+ (* x x) (* y y))) z) (hypot (sqrt (+ (* x x) (* y y))) z)) (hypot (sqrt (+ (* x x) (* y y))) z)) (* (* (sqrt (/ 1 3.0)) (sqrt (/ 1 3.0))) (sqrt (/ 1 3.0)))) (* (cbrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (cbrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))))) (cbrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (* (* (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (* (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* z z)) (/ 1 3.0)) (sqrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (sqrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt (/ 1 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (* (cbrt (sqrt (/ 1 3.0))) (cbrt (sqrt (/ 1 3.0))))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (* (cbrt (/ 1 3.0)) (cbrt (/ 1 3.0))))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (sqrt (/ 1 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 3.0) (cbrt 3.0))))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ (* (cbrt 1) (cbrt 1)) (sqrt 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ (* (cbrt 1) (cbrt 1)) 1))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ (sqrt 1) (* (cbrt 3.0) (cbrt 3.0))))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ (sqrt 1) 1))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0))))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 (sqrt 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 1))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 1)) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 1)) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (sqrt (/ 1 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) 1) (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 3.0))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 3.0))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt 1)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (expm1 (hypot (sqrt (+ (* x x) (* y y))) z)) (log1p (hypot (sqrt (+ (* x x) (* y y))) z)) (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* z z)) (log (hypot (sqrt (+ (* x x) (* y y))) z)) (exp (hypot (sqrt (+ (* x x) (* y y))) z)) (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z))) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (* (* (hypot (sqrt (+ (* x x) (* y y))) z) (hypot (sqrt (+ (* x x) (* y y))) z)) (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) y x (* -1 x) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) z x (* -1 x) 2.044 * * [simplify]: iteration 0 : 285 enodes (cost 680 ) 2.050 * * [simplify]: iteration 1 : 1102 enodes (cost 617 ) 2.072 * * [simplify]: iteration 2 : 4026 enodes (cost 596 ) 2.135 * * [simplify]: iteration 3 : 5001 enodes (cost 595 ) 2.139 * [simplify]: Simplified to: (expm1 (sqrt (+ (* x x) (* y y)))) (log1p (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (hypot x y) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (hypot x y) (hypot (pow y 3) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (expm1 (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (log1p (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))) (log (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (log (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (exp (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (pow (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))) 3) (* (cbrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (cbrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))))) (cbrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (pow (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))) 3) (/ (fma z z (fma x x (* y y))) 3.0) (sqrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (sqrt (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (sqrt (/ 1 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (* (cbrt (sqrt (/ 1 3.0))) (cbrt (sqrt (/ 1 3.0))))) (* (fabs (cbrt (/ 1 3.0))) (hypot (sqrt (+ (* x x) (* y y))) z)) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (sqrt (/ 1 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (fabs (/ (cbrt 1) (cbrt 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ (* (cbrt 1) (cbrt 1)) (sqrt 3.0)))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (fabs (cbrt 1))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0))))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 (sqrt 3.0)))) (hypot (sqrt (+ (* x x) (* y y))) z) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0))))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 (sqrt 3.0)))) (hypot (sqrt (+ (* x x) (* y y))) z) (hypot (sqrt (+ (* x x) (* y y))) z) (hypot (sqrt (+ (* x x) (* y y))) z) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (sqrt (/ 1 3.0)))) (hypot (sqrt (+ (* x x) (* y y))) z) (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 3.0))) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (/ 1 3.0))) (* (hypot (sqrt (+ (* x x) (* y y))) z) (sqrt (/ 1 3.0))) (hypot (sqrt (+ (* x x) (* y y))) z) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (hypot x y) 6) (hypot x y) (hypot x y) (fma y (pow y 5) (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* x x) (* y y)) (expm1 (hypot (sqrt (+ (* x x) (* y y))) z)) (log1p (hypot (sqrt (+ (* x x) (* y y))) z)) (fma z z (fma x x (* y y))) (log (hypot (sqrt (+ (* x x) (* y y))) z)) (exp (hypot (sqrt (+ (* x x) (* y y))) z)) (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z))) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (pow (hypot (sqrt (+ (* x x) (* y y))) z) 3) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) y x (* -1 x) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) z x (* -1 x) 2.139 * * * [progress]: adding candidates to table 2.392 * * [progress]: iteration 4 / 4 2.392 * * * [progress]: picking best candidate 2.400 * * * * [pick]: Picked # 2.400 * * * [progress]: localizing error 2.409 * * * [progress]: generating rewritten candidates 2.409 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.420 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.422 * * * [progress]: generating series expansions 2.422 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.423 * [approximate]: Taking taylor expansion of (* (hypot (hypot x y) z) (sqrt 0.3333333333333333)) in (x y z) around 0 2.423 * [taylor]: Taking taylor expansion of (* (hypot (hypot x y) z) (sqrt 0.3333333333333333)) in z 2.423 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in z 2.423 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 2.423 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in z 2.423 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z 2.423 * [taylor]: Taking taylor expansion of (hypot x y) in z 2.423 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.423 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 2.423 * [taylor]: Taking taylor expansion of (* x x) in z 2.423 * [taylor]: Taking taylor expansion of x in z 2.423 * [taylor]: Taking taylor expansion of x in z 2.423 * [taylor]: Taking taylor expansion of (* y y) in z 2.423 * [taylor]: Taking taylor expansion of y in z 2.424 * [taylor]: Taking taylor expansion of y in z 2.424 * [taylor]: Taking taylor expansion of (hypot x y) in z 2.424 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.424 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 2.424 * [taylor]: Taking taylor expansion of (* x x) in z 2.424 * [taylor]: Taking taylor expansion of x in z 2.424 * [taylor]: Taking taylor expansion of x in z 2.424 * [taylor]: Taking taylor expansion of (* y y) in z 2.424 * [taylor]: Taking taylor expansion of y in z 2.424 * [taylor]: Taking taylor expansion of y in z 2.425 * [taylor]: Taking taylor expansion of (* z z) in z 2.425 * [taylor]: Taking taylor expansion of z in z 2.425 * [taylor]: Taking taylor expansion of z in z 2.427 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.427 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.428 * [taylor]: Taking taylor expansion of (* (hypot (hypot x y) z) (sqrt 0.3333333333333333)) in y 2.428 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in y 2.428 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 2.428 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in y 2.428 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y 2.428 * [taylor]: Taking taylor expansion of (hypot x y) in y 2.428 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.428 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 2.428 * [taylor]: Taking taylor expansion of (* x x) in y 2.428 * [taylor]: Taking taylor expansion of x in y 2.428 * [taylor]: Taking taylor expansion of x in y 2.428 * [taylor]: Taking taylor expansion of (* y y) in y 2.428 * [taylor]: Taking taylor expansion of y in y 2.428 * [taylor]: Taking taylor expansion of y in y 2.429 * [taylor]: Taking taylor expansion of (hypot x y) in y 2.430 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.430 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 2.430 * [taylor]: Taking taylor expansion of (* x x) in y 2.430 * [taylor]: Taking taylor expansion of x in y 2.430 * [taylor]: Taking taylor expansion of x in y 2.430 * [taylor]: Taking taylor expansion of (* y y) in y 2.430 * [taylor]: Taking taylor expansion of y in y 2.430 * [taylor]: Taking taylor expansion of y in y 2.431 * [taylor]: Taking taylor expansion of (* z z) in y 2.431 * [taylor]: Taking taylor expansion of z in y 2.431 * [taylor]: Taking taylor expansion of z in y 2.432 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.432 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.432 * [taylor]: Taking taylor expansion of (* (hypot (hypot x y) z) (sqrt 0.3333333333333333)) in x 2.432 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 2.432 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 2.433 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 2.433 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 2.433 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.433 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.433 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.433 * [taylor]: Taking taylor expansion of (* x x) in x 2.433 * [taylor]: Taking taylor expansion of x in x 2.433 * [taylor]: Taking taylor expansion of x in x 2.433 * [taylor]: Taking taylor expansion of (* y y) in x 2.433 * [taylor]: Taking taylor expansion of y in x 2.433 * [taylor]: Taking taylor expansion of y in x 2.434 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.434 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.434 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.434 * [taylor]: Taking taylor expansion of (* x x) in x 2.434 * [taylor]: Taking taylor expansion of x in x 2.434 * [taylor]: Taking taylor expansion of x in x 2.434 * [taylor]: Taking taylor expansion of (* y y) in x 2.434 * [taylor]: Taking taylor expansion of y in x 2.434 * [taylor]: Taking taylor expansion of y in x 2.435 * [taylor]: Taking taylor expansion of (* z z) in x 2.435 * [taylor]: Taking taylor expansion of z in x 2.435 * [taylor]: Taking taylor expansion of z in x 2.436 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 2.436 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.437 * [taylor]: Taking taylor expansion of (* (hypot (hypot x y) z) (sqrt 0.3333333333333333)) in x 2.437 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 2.437 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 2.437 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 2.437 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 2.437 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.437 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.437 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.437 * [taylor]: Taking taylor expansion of (* x x) in x 2.437 * [taylor]: Taking taylor expansion of x in x 2.437 * [taylor]: Taking taylor expansion of x in x 2.437 * [taylor]: Taking taylor expansion of (* y y) in x 2.437 * [taylor]: Taking taylor expansion of y in x 2.437 * [taylor]: Taking taylor expansion of y in x 2.438 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.438 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.438 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.438 * [taylor]: Taking taylor expansion of (* x x) in x 2.438 * [taylor]: Taking taylor expansion of x in x 2.439 * [taylor]: Taking taylor expansion of x in x 2.439 * [taylor]: Taking taylor expansion of (* y y) in x 2.439 * [taylor]: Taking taylor expansion of y in x 2.439 * [taylor]: Taking taylor expansion of y in x 2.440 * [taylor]: Taking taylor expansion of (* z z) in x 2.440 * [taylor]: Taking taylor expansion of z in x 2.440 * [taylor]: Taking taylor expansion of z in x 2.440 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 2.441 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.442 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y 2.442 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 2.442 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 2.442 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.442 * [taylor]: Taking taylor expansion of y in y 2.442 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.442 * [taylor]: Taking taylor expansion of z in y 2.442 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.442 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.443 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z 2.443 * [taylor]: Taking taylor expansion of z in z 2.443 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.443 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.445 * [taylor]: Taking taylor expansion of 0 in y 2.445 * [taylor]: Taking taylor expansion of 0 in z 2.445 * [taylor]: Taking taylor expansion of 0 in z 2.456 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y 2.456 * [taylor]: Taking taylor expansion of 1/2 in y 2.456 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 2.456 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 2.457 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 2.457 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 2.457 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.457 * [taylor]: Taking taylor expansion of y in y 2.457 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.457 * [taylor]: Taking taylor expansion of z in y 2.458 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.458 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.459 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 2.459 * [taylor]: Taking taylor expansion of 1/2 in z 2.459 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 2.459 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.459 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.460 * [taylor]: Taking taylor expansion of z in z 2.462 * [taylor]: Taking taylor expansion of 0 in z 2.464 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 2.464 * [taylor]: Taking taylor expansion of 1/2 in z 2.464 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 2.464 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.464 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.465 * [taylor]: Taking taylor expansion of z in z 2.470 * [approximate]: Taking taylor expansion of (* (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) (sqrt 0.3333333333333333)) in (x y z) around 0 2.470 * [taylor]: Taking taylor expansion of (* (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) (sqrt 0.3333333333333333)) in z 2.470 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in z 2.470 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 2.470 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in z 2.470 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z 2.470 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 2.470 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.470 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 2.470 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 2.470 * [taylor]: Taking taylor expansion of (/ 1 x) in z 2.470 * [taylor]: Taking taylor expansion of x in z 2.470 * [taylor]: Taking taylor expansion of (/ 1 x) in z 2.470 * [taylor]: Taking taylor expansion of x in z 2.470 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 2.470 * [taylor]: Taking taylor expansion of (/ 1 y) in z 2.471 * [taylor]: Taking taylor expansion of y in z 2.471 * [taylor]: Taking taylor expansion of (/ 1 y) in z 2.471 * [taylor]: Taking taylor expansion of y in z 2.472 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 2.472 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.472 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 2.472 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 2.472 * [taylor]: Taking taylor expansion of (/ 1 x) in z 2.472 * [taylor]: Taking taylor expansion of x in z 2.472 * [taylor]: Taking taylor expansion of (/ 1 x) in z 2.472 * [taylor]: Taking taylor expansion of x in z 2.472 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 2.472 * [taylor]: Taking taylor expansion of (/ 1 y) in z 2.472 * [taylor]: Taking taylor expansion of y in z 2.472 * [taylor]: Taking taylor expansion of (/ 1 y) in z 2.472 * [taylor]: Taking taylor expansion of y in z 2.473 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 2.473 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.473 * [taylor]: Taking taylor expansion of z in z 2.474 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.474 * [taylor]: Taking taylor expansion of z in z 2.477 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.477 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.478 * [taylor]: Taking taylor expansion of (* (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) (sqrt 0.3333333333333333)) in y 2.478 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y 2.478 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 2.478 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y 2.478 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 2.478 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 2.478 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.478 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 2.478 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.478 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.478 * [taylor]: Taking taylor expansion of x in y 2.478 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.478 * [taylor]: Taking taylor expansion of x in y 2.478 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.478 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.478 * [taylor]: Taking taylor expansion of y in y 2.478 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.478 * [taylor]: Taking taylor expansion of y in y 2.481 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 2.482 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.482 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 2.482 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.482 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.482 * [taylor]: Taking taylor expansion of x in y 2.482 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.482 * [taylor]: Taking taylor expansion of x in y 2.482 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.482 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.482 * [taylor]: Taking taylor expansion of y in y 2.482 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.482 * [taylor]: Taking taylor expansion of y in y 2.485 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 2.485 * [taylor]: Taking taylor expansion of (/ 1 z) in y 2.485 * [taylor]: Taking taylor expansion of z in y 2.485 * [taylor]: Taking taylor expansion of (/ 1 z) in y 2.485 * [taylor]: Taking taylor expansion of z in y 2.487 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.487 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.488 * [taylor]: Taking taylor expansion of (* (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) (sqrt 0.3333333333333333)) in x 2.488 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 2.488 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 2.488 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 2.488 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 2.488 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.488 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.488 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.488 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.488 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.488 * [taylor]: Taking taylor expansion of x in x 2.488 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.488 * [taylor]: Taking taylor expansion of x in x 2.488 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.488 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.488 * [taylor]: Taking taylor expansion of y in x 2.489 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.489 * [taylor]: Taking taylor expansion of y in x 2.491 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.491 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.491 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.491 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.491 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.491 * [taylor]: Taking taylor expansion of x in x 2.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.492 * [taylor]: Taking taylor expansion of x in x 2.492 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.492 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.492 * [taylor]: Taking taylor expansion of y in x 2.492 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.492 * [taylor]: Taking taylor expansion of y in x 2.495 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 2.495 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.495 * [taylor]: Taking taylor expansion of z in x 2.495 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.495 * [taylor]: Taking taylor expansion of z in x 2.496 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 2.497 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.497 * [taylor]: Taking taylor expansion of (* (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) (sqrt 0.3333333333333333)) in x 2.498 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 2.498 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 2.498 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 2.498 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 2.498 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.498 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.498 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.498 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.498 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.498 * [taylor]: Taking taylor expansion of x in x 2.498 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.498 * [taylor]: Taking taylor expansion of x in x 2.498 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.498 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.498 * [taylor]: Taking taylor expansion of y in x 2.499 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.499 * [taylor]: Taking taylor expansion of y in x 2.501 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.501 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.501 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.501 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.501 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.501 * [taylor]: Taking taylor expansion of x in x 2.502 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.502 * [taylor]: Taking taylor expansion of x in x 2.502 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.502 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.502 * [taylor]: Taking taylor expansion of y in x 2.502 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.502 * [taylor]: Taking taylor expansion of y in x 2.505 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 2.505 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.505 * [taylor]: Taking taylor expansion of z in x 2.505 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.505 * [taylor]: Taking taylor expansion of z in x 2.506 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 2.506 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.508 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.508 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.509 * [taylor]: Taking taylor expansion of 0 in y 2.509 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.509 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.518 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 2.518 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 2.518 * [taylor]: Taking taylor expansion of 1/2 in y 2.518 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 2.518 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.518 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.519 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.519 * [taylor]: Taking taylor expansion of z in y 2.519 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 2.519 * [taylor]: Taking taylor expansion of 1/2 in y 2.519 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 2.519 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.519 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.520 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.520 * [taylor]: Taking taylor expansion of y in y 2.522 * [taylor]: Taking taylor expansion of 0 in z 2.522 * [taylor]: Taking taylor expansion of 0 in z 2.523 * [taylor]: Taking taylor expansion of 0 in z 2.531 * [taylor]: Taking taylor expansion of 0 in y 2.535 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 2.535 * [taylor]: Taking taylor expansion of 1/2 in z 2.535 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 2.535 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.535 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.535 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.535 * [taylor]: Taking taylor expansion of z in z 2.538 * [taylor]: Taking taylor expansion of 0 in z 2.538 * [taylor]: Taking taylor expansion of 0 in z 2.554 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))))) in y 2.554 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))) in y 2.554 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 2.554 * [taylor]: Taking taylor expansion of 1/8 in y 2.554 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 2.554 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.554 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.555 * [taylor]: Taking taylor expansion of (pow z 4) in y 2.555 * [taylor]: Taking taylor expansion of z in y 2.556 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))) in y 2.556 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 2.556 * [taylor]: Taking taylor expansion of 1/4 in y 2.556 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 2.556 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.556 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.557 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 2.557 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.557 * [taylor]: Taking taylor expansion of z in y 2.557 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.557 * [taylor]: Taking taylor expansion of y in y 2.557 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 2.557 * [taylor]: Taking taylor expansion of 1/8 in y 2.558 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 2.558 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.558 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.558 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.558 * [taylor]: Taking taylor expansion of y in y 2.569 * [taylor]: Taking taylor expansion of 0 in z 2.569 * [taylor]: Taking taylor expansion of 0 in z 2.573 * [taylor]: Taking taylor expansion of 0 in z 2.573 * [taylor]: Taking taylor expansion of 0 in z 2.574 * [taylor]: Taking taylor expansion of 0 in z 2.578 * [approximate]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z))) in (x y z) around 0 2.578 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z))) in z 2.578 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.578 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.578 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in z 2.579 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.579 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in z 2.579 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z 2.579 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 2.579 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.579 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 2.579 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 2.579 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.579 * [taylor]: Taking taylor expansion of -1 in z 2.579 * [taylor]: Taking taylor expansion of x in z 2.579 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.579 * [taylor]: Taking taylor expansion of -1 in z 2.579 * [taylor]: Taking taylor expansion of x in z 2.579 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 2.579 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.579 * [taylor]: Taking taylor expansion of -1 in z 2.579 * [taylor]: Taking taylor expansion of y in z 2.579 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.579 * [taylor]: Taking taylor expansion of -1 in z 2.579 * [taylor]: Taking taylor expansion of y in z 2.580 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 2.580 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.580 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 2.580 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 2.580 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.580 * [taylor]: Taking taylor expansion of -1 in z 2.580 * [taylor]: Taking taylor expansion of x in z 2.580 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.580 * [taylor]: Taking taylor expansion of -1 in z 2.580 * [taylor]: Taking taylor expansion of x in z 2.581 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 2.581 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.581 * [taylor]: Taking taylor expansion of -1 in z 2.581 * [taylor]: Taking taylor expansion of y in z 2.581 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.581 * [taylor]: Taking taylor expansion of -1 in z 2.581 * [taylor]: Taking taylor expansion of y in z 2.582 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 2.582 * [taylor]: Taking taylor expansion of (/ -1 z) in z 2.582 * [taylor]: Taking taylor expansion of -1 in z 2.582 * [taylor]: Taking taylor expansion of z in z 2.582 * [taylor]: Taking taylor expansion of (/ -1 z) in z 2.582 * [taylor]: Taking taylor expansion of -1 in z 2.582 * [taylor]: Taking taylor expansion of z in z 2.585 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z))) in y 2.585 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.585 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.586 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y 2.586 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.586 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y 2.586 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y 2.586 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 2.586 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.586 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 2.586 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.586 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.586 * [taylor]: Taking taylor expansion of -1 in y 2.586 * [taylor]: Taking taylor expansion of x in y 2.586 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.586 * [taylor]: Taking taylor expansion of -1 in y 2.586 * [taylor]: Taking taylor expansion of x in y 2.586 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.586 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.586 * [taylor]: Taking taylor expansion of -1 in y 2.586 * [taylor]: Taking taylor expansion of y in y 2.587 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.587 * [taylor]: Taking taylor expansion of -1 in y 2.587 * [taylor]: Taking taylor expansion of y in y 2.590 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 2.590 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.590 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 2.590 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.590 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.590 * [taylor]: Taking taylor expansion of -1 in y 2.590 * [taylor]: Taking taylor expansion of x in y 2.590 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.590 * [taylor]: Taking taylor expansion of -1 in y 2.590 * [taylor]: Taking taylor expansion of x in y 2.590 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.590 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.590 * [taylor]: Taking taylor expansion of -1 in y 2.590 * [taylor]: Taking taylor expansion of y in y 2.591 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.591 * [taylor]: Taking taylor expansion of -1 in y 2.591 * [taylor]: Taking taylor expansion of y in y 2.594 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 2.594 * [taylor]: Taking taylor expansion of (/ -1 z) in y 2.594 * [taylor]: Taking taylor expansion of -1 in y 2.594 * [taylor]: Taking taylor expansion of z in y 2.594 * [taylor]: Taking taylor expansion of (/ -1 z) in y 2.594 * [taylor]: Taking taylor expansion of -1 in y 2.594 * [taylor]: Taking taylor expansion of z in y 2.595 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z))) in x 2.595 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 2.595 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.596 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 2.596 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.596 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 2.596 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 2.596 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.596 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.596 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.596 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.596 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.597 * [taylor]: Taking taylor expansion of -1 in x 2.597 * [taylor]: Taking taylor expansion of x in x 2.597 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.597 * [taylor]: Taking taylor expansion of -1 in x 2.597 * [taylor]: Taking taylor expansion of x in x 2.597 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.597 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.597 * [taylor]: Taking taylor expansion of -1 in x 2.597 * [taylor]: Taking taylor expansion of y in x 2.597 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.597 * [taylor]: Taking taylor expansion of -1 in x 2.597 * [taylor]: Taking taylor expansion of y in x 2.600 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.600 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.600 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.600 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.600 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.600 * [taylor]: Taking taylor expansion of -1 in x 2.600 * [taylor]: Taking taylor expansion of x in x 2.600 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.601 * [taylor]: Taking taylor expansion of -1 in x 2.601 * [taylor]: Taking taylor expansion of x in x 2.601 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.601 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.601 * [taylor]: Taking taylor expansion of -1 in x 2.601 * [taylor]: Taking taylor expansion of y in x 2.601 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.601 * [taylor]: Taking taylor expansion of -1 in x 2.601 * [taylor]: Taking taylor expansion of y in x 2.604 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 2.604 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.604 * [taylor]: Taking taylor expansion of -1 in x 2.604 * [taylor]: Taking taylor expansion of z in x 2.604 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.604 * [taylor]: Taking taylor expansion of -1 in x 2.604 * [taylor]: Taking taylor expansion of z in x 2.606 * [taylor]: Taking taylor expansion of (* (sqrt 0.3333333333333333) (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z))) in x 2.606 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 2.606 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 2.606 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 2.606 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.606 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 2.606 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 2.606 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.607 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.607 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.607 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.607 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.607 * [taylor]: Taking taylor expansion of -1 in x 2.607 * [taylor]: Taking taylor expansion of x in x 2.607 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.607 * [taylor]: Taking taylor expansion of -1 in x 2.607 * [taylor]: Taking taylor expansion of x in x 2.607 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.607 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.607 * [taylor]: Taking taylor expansion of -1 in x 2.607 * [taylor]: Taking taylor expansion of y in x 2.607 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.607 * [taylor]: Taking taylor expansion of -1 in x 2.607 * [taylor]: Taking taylor expansion of y in x 2.610 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.610 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.610 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.610 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.610 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.610 * [taylor]: Taking taylor expansion of -1 in x 2.610 * [taylor]: Taking taylor expansion of x in x 2.611 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.611 * [taylor]: Taking taylor expansion of -1 in x 2.611 * [taylor]: Taking taylor expansion of x in x 2.611 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.611 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.611 * [taylor]: Taking taylor expansion of -1 in x 2.611 * [taylor]: Taking taylor expansion of y in x 2.611 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.611 * [taylor]: Taking taylor expansion of -1 in x 2.611 * [taylor]: Taking taylor expansion of y in x 2.614 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 2.614 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.614 * [taylor]: Taking taylor expansion of -1 in x 2.614 * [taylor]: Taking taylor expansion of z in x 2.614 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.614 * [taylor]: Taking taylor expansion of -1 in x 2.614 * [taylor]: Taking taylor expansion of z in x 2.616 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.617 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.618 * [taylor]: Taking taylor expansion of 0 in y 2.618 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.618 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.627 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 2.627 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 2.627 * [taylor]: Taking taylor expansion of 1/2 in y 2.627 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 2.627 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.627 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.628 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.628 * [taylor]: Taking taylor expansion of z in y 2.628 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 2.628 * [taylor]: Taking taylor expansion of 1/2 in y 2.628 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 2.628 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.628 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.629 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.629 * [taylor]: Taking taylor expansion of y in y 2.632 * [taylor]: Taking taylor expansion of 0 in z 2.632 * [taylor]: Taking taylor expansion of 0 in z 2.632 * [taylor]: Taking taylor expansion of 0 in z 2.643 * [taylor]: Taking taylor expansion of 0 in y 2.647 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 2.647 * [taylor]: Taking taylor expansion of 1/2 in z 2.647 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 2.647 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 2.647 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 2.647 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.647 * [taylor]: Taking taylor expansion of z in z 2.650 * [taylor]: Taking taylor expansion of 0 in z 2.650 * [taylor]: Taking taylor expansion of 0 in z 2.662 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))))) in y 2.662 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))) in y 2.662 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 2.662 * [taylor]: Taking taylor expansion of 1/8 in y 2.662 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 2.663 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.663 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.663 * [taylor]: Taking taylor expansion of (pow z 4) in y 2.663 * [taylor]: Taking taylor expansion of z in y 2.664 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))) in y 2.664 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 2.664 * [taylor]: Taking taylor expansion of 1/4 in y 2.664 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 2.664 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.664 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.665 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 2.665 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.665 * [taylor]: Taking taylor expansion of z in y 2.665 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.665 * [taylor]: Taking taylor expansion of y in y 2.665 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 2.665 * [taylor]: Taking taylor expansion of 1/8 in y 2.665 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 2.665 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 2.665 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 2.666 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.666 * [taylor]: Taking taylor expansion of y in y 2.677 * [taylor]: Taking taylor expansion of 0 in z 2.677 * [taylor]: Taking taylor expansion of 0 in z 2.681 * [taylor]: Taking taylor expansion of 0 in z 2.681 * [taylor]: Taking taylor expansion of 0 in z 2.682 * [taylor]: Taking taylor expansion of 0 in z 2.685 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.685 * [approximate]: Taking taylor expansion of (hypot (hypot x y) z) in (x y z) around 0 2.685 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in z 2.685 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 2.685 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in z 2.685 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z 2.685 * [taylor]: Taking taylor expansion of (hypot x y) in z 2.685 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.685 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 2.685 * [taylor]: Taking taylor expansion of (* x x) in z 2.685 * [taylor]: Taking taylor expansion of x in z 2.685 * [taylor]: Taking taylor expansion of x in z 2.685 * [taylor]: Taking taylor expansion of (* y y) in z 2.685 * [taylor]: Taking taylor expansion of y in z 2.685 * [taylor]: Taking taylor expansion of y in z 2.686 * [taylor]: Taking taylor expansion of (hypot x y) in z 2.686 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.686 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 2.686 * [taylor]: Taking taylor expansion of (* x x) in z 2.686 * [taylor]: Taking taylor expansion of x in z 2.686 * [taylor]: Taking taylor expansion of x in z 2.686 * [taylor]: Taking taylor expansion of (* y y) in z 2.686 * [taylor]: Taking taylor expansion of y in z 2.686 * [taylor]: Taking taylor expansion of y in z 2.687 * [taylor]: Taking taylor expansion of (* z z) in z 2.687 * [taylor]: Taking taylor expansion of z in z 2.687 * [taylor]: Taking taylor expansion of z in z 2.689 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in y 2.689 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 2.689 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in y 2.689 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y 2.689 * [taylor]: Taking taylor expansion of (hypot x y) in y 2.689 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.689 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 2.689 * [taylor]: Taking taylor expansion of (* x x) in y 2.689 * [taylor]: Taking taylor expansion of x in y 2.689 * [taylor]: Taking taylor expansion of x in y 2.689 * [taylor]: Taking taylor expansion of (* y y) in y 2.689 * [taylor]: Taking taylor expansion of y in y 2.689 * [taylor]: Taking taylor expansion of y in y 2.690 * [taylor]: Taking taylor expansion of (hypot x y) in y 2.690 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.690 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 2.690 * [taylor]: Taking taylor expansion of (* x x) in y 2.690 * [taylor]: Taking taylor expansion of x in y 2.690 * [taylor]: Taking taylor expansion of x in y 2.690 * [taylor]: Taking taylor expansion of (* y y) in y 2.690 * [taylor]: Taking taylor expansion of y in y 2.691 * [taylor]: Taking taylor expansion of y in y 2.692 * [taylor]: Taking taylor expansion of (* z z) in y 2.692 * [taylor]: Taking taylor expansion of z in y 2.692 * [taylor]: Taking taylor expansion of z in y 2.692 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 2.692 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 2.693 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 2.693 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 2.693 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.693 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.693 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.693 * [taylor]: Taking taylor expansion of (* x x) in x 2.693 * [taylor]: Taking taylor expansion of x in x 2.693 * [taylor]: Taking taylor expansion of x in x 2.693 * [taylor]: Taking taylor expansion of (* y y) in x 2.693 * [taylor]: Taking taylor expansion of y in x 2.693 * [taylor]: Taking taylor expansion of y in x 2.694 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.694 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.694 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.694 * [taylor]: Taking taylor expansion of (* x x) in x 2.694 * [taylor]: Taking taylor expansion of x in x 2.694 * [taylor]: Taking taylor expansion of x in x 2.694 * [taylor]: Taking taylor expansion of (* y y) in x 2.694 * [taylor]: Taking taylor expansion of y in x 2.694 * [taylor]: Taking taylor expansion of y in x 2.695 * [taylor]: Taking taylor expansion of (* z z) in x 2.695 * [taylor]: Taking taylor expansion of z in x 2.695 * [taylor]: Taking taylor expansion of z in x 2.696 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 2.696 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 2.696 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 2.696 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 2.696 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.696 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.696 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.696 * [taylor]: Taking taylor expansion of (* x x) in x 2.696 * [taylor]: Taking taylor expansion of x in x 2.696 * [taylor]: Taking taylor expansion of x in x 2.696 * [taylor]: Taking taylor expansion of (* y y) in x 2.696 * [taylor]: Taking taylor expansion of y in x 2.696 * [taylor]: Taking taylor expansion of y in x 2.697 * [taylor]: Taking taylor expansion of (hypot x y) in x 2.698 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 2.698 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 2.698 * [taylor]: Taking taylor expansion of (* x x) in x 2.698 * [taylor]: Taking taylor expansion of x in x 2.698 * [taylor]: Taking taylor expansion of x in x 2.698 * [taylor]: Taking taylor expansion of (* y y) in x 2.698 * [taylor]: Taking taylor expansion of y in x 2.698 * [taylor]: Taking taylor expansion of y in x 2.699 * [taylor]: Taking taylor expansion of (* z z) in x 2.699 * [taylor]: Taking taylor expansion of z in x 2.699 * [taylor]: Taking taylor expansion of z in x 2.700 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 2.700 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 2.700 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.700 * [taylor]: Taking taylor expansion of y in y 2.700 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.700 * [taylor]: Taking taylor expansion of z in y 2.700 * [taylor]: Taking taylor expansion of z in z 2.700 * [taylor]: Taking taylor expansion of 0 in y 2.700 * [taylor]: Taking taylor expansion of 0 in z 2.700 * [taylor]: Taking taylor expansion of 0 in z 2.705 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 2.705 * [taylor]: Taking taylor expansion of 1/2 in y 2.705 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 2.705 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 2.705 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 2.705 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.705 * [taylor]: Taking taylor expansion of y in y 2.705 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.705 * [taylor]: Taking taylor expansion of z in y 2.706 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 2.706 * [taylor]: Taking taylor expansion of 1/2 in z 2.706 * [taylor]: Taking taylor expansion of z in z 2.707 * [taylor]: Taking taylor expansion of 0 in z 2.708 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 2.708 * [taylor]: Taking taylor expansion of 1/2 in z 2.708 * [taylor]: Taking taylor expansion of z in z 2.709 * [approximate]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in (x y z) around 0 2.709 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in z 2.709 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 2.709 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in z 2.709 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z 2.709 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 2.710 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.710 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 2.710 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 2.710 * [taylor]: Taking taylor expansion of (/ 1 x) in z 2.710 * [taylor]: Taking taylor expansion of x in z 2.710 * [taylor]: Taking taylor expansion of (/ 1 x) in z 2.710 * [taylor]: Taking taylor expansion of x in z 2.710 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 2.710 * [taylor]: Taking taylor expansion of (/ 1 y) in z 2.710 * [taylor]: Taking taylor expansion of y in z 2.710 * [taylor]: Taking taylor expansion of (/ 1 y) in z 2.710 * [taylor]: Taking taylor expansion of y in z 2.711 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 2.711 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.711 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 2.711 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 2.711 * [taylor]: Taking taylor expansion of (/ 1 x) in z 2.711 * [taylor]: Taking taylor expansion of x in z 2.711 * [taylor]: Taking taylor expansion of (/ 1 x) in z 2.711 * [taylor]: Taking taylor expansion of x in z 2.711 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 2.711 * [taylor]: Taking taylor expansion of (/ 1 y) in z 2.712 * [taylor]: Taking taylor expansion of y in z 2.712 * [taylor]: Taking taylor expansion of (/ 1 y) in z 2.712 * [taylor]: Taking taylor expansion of y in z 2.713 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 2.713 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.713 * [taylor]: Taking taylor expansion of z in z 2.713 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.713 * [taylor]: Taking taylor expansion of z in z 2.716 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y 2.716 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 2.716 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y 2.716 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 2.716 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 2.716 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.716 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 2.717 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.717 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.717 * [taylor]: Taking taylor expansion of x in y 2.717 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.717 * [taylor]: Taking taylor expansion of x in y 2.717 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.717 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.717 * [taylor]: Taking taylor expansion of y in y 2.717 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.717 * [taylor]: Taking taylor expansion of y in y 2.720 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 2.720 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.720 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 2.720 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.720 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.720 * [taylor]: Taking taylor expansion of x in y 2.720 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.720 * [taylor]: Taking taylor expansion of x in y 2.720 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 2.720 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.720 * [taylor]: Taking taylor expansion of y in y 2.721 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.721 * [taylor]: Taking taylor expansion of y in y 2.723 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 2.723 * [taylor]: Taking taylor expansion of (/ 1 z) in y 2.723 * [taylor]: Taking taylor expansion of z in y 2.723 * [taylor]: Taking taylor expansion of (/ 1 z) in y 2.723 * [taylor]: Taking taylor expansion of z in y 2.725 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 2.725 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 2.725 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 2.725 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 2.725 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.725 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.726 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.726 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.726 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.726 * [taylor]: Taking taylor expansion of x in x 2.726 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.726 * [taylor]: Taking taylor expansion of x in x 2.726 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.726 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.726 * [taylor]: Taking taylor expansion of y in x 2.726 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.726 * [taylor]: Taking taylor expansion of y in x 2.732 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.732 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.732 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.732 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.732 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.732 * [taylor]: Taking taylor expansion of x in x 2.732 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.732 * [taylor]: Taking taylor expansion of x in x 2.733 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.733 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.733 * [taylor]: Taking taylor expansion of y in x 2.733 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.733 * [taylor]: Taking taylor expansion of y in x 2.735 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 2.735 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.735 * [taylor]: Taking taylor expansion of z in x 2.735 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.735 * [taylor]: Taking taylor expansion of z in x 2.737 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 2.737 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 2.737 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 2.737 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 2.737 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.737 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.737 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.737 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.738 * [taylor]: Taking taylor expansion of x in x 2.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.738 * [taylor]: Taking taylor expansion of x in x 2.738 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.738 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.738 * [taylor]: Taking taylor expansion of y in x 2.738 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.738 * [taylor]: Taking taylor expansion of y in x 2.741 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.741 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.741 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.741 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.741 * [taylor]: Taking taylor expansion of x in x 2.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.741 * [taylor]: Taking taylor expansion of x in x 2.741 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.741 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.741 * [taylor]: Taking taylor expansion of y in x 2.742 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.742 * [taylor]: Taking taylor expansion of y in x 2.744 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 2.744 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.744 * [taylor]: Taking taylor expansion of z in x 2.744 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.744 * [taylor]: Taking taylor expansion of z in x 2.746 * [taylor]: Taking taylor expansion of 1 in y 2.746 * [taylor]: Taking taylor expansion of 0 in y 2.746 * [taylor]: Taking taylor expansion of 1 in z 2.753 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 2.753 * [taylor]: Taking taylor expansion of 1/2 in y 2.753 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 2.753 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 2.753 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.753 * [taylor]: Taking taylor expansion of z in y 2.753 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.753 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.753 * [taylor]: Taking taylor expansion of y in y 2.756 * [taylor]: Taking taylor expansion of 0 in z 2.756 * [taylor]: Taking taylor expansion of 0 in z 2.756 * [taylor]: Taking taylor expansion of 0 in z 2.763 * [taylor]: Taking taylor expansion of 0 in y 2.764 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 2.764 * [taylor]: Taking taylor expansion of 1/2 in z 2.764 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 2.764 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.764 * [taylor]: Taking taylor expansion of z in z 2.766 * [taylor]: Taking taylor expansion of 0 in z 2.766 * [taylor]: Taking taylor expansion of 0 in z 2.775 * [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 2.775 * [taylor]: Taking taylor expansion of -1/2 in y 2.775 * [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 2.775 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 2.775 * [taylor]: Taking taylor expansion of 1/4 in y 2.775 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 2.775 * [taylor]: Taking taylor expansion of (pow z 4) in y 2.775 * [taylor]: Taking taylor expansion of z in y 2.775 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 2.775 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 2.775 * [taylor]: Taking taylor expansion of 1/2 in y 2.775 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 2.775 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 2.775 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.775 * [taylor]: Taking taylor expansion of z in y 2.776 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.776 * [taylor]: Taking taylor expansion of y in y 2.776 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 2.776 * [taylor]: Taking taylor expansion of 1/4 in y 2.776 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.776 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.776 * [taylor]: Taking taylor expansion of y in y 2.786 * [taylor]: Taking taylor expansion of 0 in z 2.786 * [taylor]: Taking taylor expansion of 0 in z 2.789 * [taylor]: Taking taylor expansion of 0 in z 2.789 * [taylor]: Taking taylor expansion of 0 in z 2.789 * [taylor]: Taking taylor expansion of 0 in z 2.791 * [approximate]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in (x y z) around 0 2.791 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in z 2.791 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.791 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in z 2.791 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z 2.791 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 2.791 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.791 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 2.791 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 2.791 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.791 * [taylor]: Taking taylor expansion of -1 in z 2.791 * [taylor]: Taking taylor expansion of x in z 2.791 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.791 * [taylor]: Taking taylor expansion of -1 in z 2.791 * [taylor]: Taking taylor expansion of x in z 2.791 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 2.791 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.791 * [taylor]: Taking taylor expansion of -1 in z 2.791 * [taylor]: Taking taylor expansion of y in z 2.791 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.791 * [taylor]: Taking taylor expansion of -1 in z 2.791 * [taylor]: Taking taylor expansion of y in z 2.792 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 2.792 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.792 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 2.792 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 2.792 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.792 * [taylor]: Taking taylor expansion of -1 in z 2.792 * [taylor]: Taking taylor expansion of x in z 2.792 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.792 * [taylor]: Taking taylor expansion of -1 in z 2.793 * [taylor]: Taking taylor expansion of x in z 2.793 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 2.793 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.793 * [taylor]: Taking taylor expansion of -1 in z 2.793 * [taylor]: Taking taylor expansion of y in z 2.793 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.793 * [taylor]: Taking taylor expansion of -1 in z 2.793 * [taylor]: Taking taylor expansion of y in z 2.794 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 2.794 * [taylor]: Taking taylor expansion of (/ -1 z) in z 2.794 * [taylor]: Taking taylor expansion of -1 in z 2.794 * [taylor]: Taking taylor expansion of z in z 2.794 * [taylor]: Taking taylor expansion of (/ -1 z) in z 2.794 * [taylor]: Taking taylor expansion of -1 in z 2.794 * [taylor]: Taking taylor expansion of z in z 2.797 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y 2.797 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.797 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y 2.797 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y 2.797 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 2.797 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.797 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 2.797 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.797 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.797 * [taylor]: Taking taylor expansion of -1 in y 2.797 * [taylor]: Taking taylor expansion of x in y 2.797 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.797 * [taylor]: Taking taylor expansion of -1 in y 2.797 * [taylor]: Taking taylor expansion of x in y 2.797 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.798 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.798 * [taylor]: Taking taylor expansion of -1 in y 2.798 * [taylor]: Taking taylor expansion of y in y 2.798 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.798 * [taylor]: Taking taylor expansion of -1 in y 2.798 * [taylor]: Taking taylor expansion of y in y 2.801 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 2.801 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.801 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 2.801 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.801 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.801 * [taylor]: Taking taylor expansion of -1 in y 2.801 * [taylor]: Taking taylor expansion of x in y 2.801 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.801 * [taylor]: Taking taylor expansion of -1 in y 2.801 * [taylor]: Taking taylor expansion of x in y 2.801 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.801 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.801 * [taylor]: Taking taylor expansion of -1 in y 2.801 * [taylor]: Taking taylor expansion of y in y 2.801 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.801 * [taylor]: Taking taylor expansion of -1 in y 2.801 * [taylor]: Taking taylor expansion of y in y 2.804 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 2.804 * [taylor]: Taking taylor expansion of (/ -1 z) in y 2.804 * [taylor]: Taking taylor expansion of -1 in y 2.804 * [taylor]: Taking taylor expansion of z in y 2.805 * [taylor]: Taking taylor expansion of (/ -1 z) in y 2.805 * [taylor]: Taking taylor expansion of -1 in y 2.805 * [taylor]: Taking taylor expansion of z in y 2.806 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 2.806 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.806 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 2.806 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 2.806 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.807 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.807 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.807 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.807 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.807 * [taylor]: Taking taylor expansion of -1 in x 2.807 * [taylor]: Taking taylor expansion of x in x 2.807 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.807 * [taylor]: Taking taylor expansion of -1 in x 2.807 * [taylor]: Taking taylor expansion of x in x 2.807 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.807 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.807 * [taylor]: Taking taylor expansion of -1 in x 2.807 * [taylor]: Taking taylor expansion of y in x 2.807 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.807 * [taylor]: Taking taylor expansion of -1 in x 2.807 * [taylor]: Taking taylor expansion of y in x 2.810 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.810 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.810 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.810 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.810 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.810 * [taylor]: Taking taylor expansion of -1 in x 2.810 * [taylor]: Taking taylor expansion of x in x 2.811 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.811 * [taylor]: Taking taylor expansion of -1 in x 2.811 * [taylor]: Taking taylor expansion of x in x 2.811 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.811 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.811 * [taylor]: Taking taylor expansion of -1 in x 2.811 * [taylor]: Taking taylor expansion of y in x 2.811 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.811 * [taylor]: Taking taylor expansion of -1 in x 2.811 * [taylor]: Taking taylor expansion of y in x 2.814 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 2.814 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.814 * [taylor]: Taking taylor expansion of -1 in x 2.814 * [taylor]: Taking taylor expansion of z in x 2.814 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.814 * [taylor]: Taking taylor expansion of -1 in x 2.814 * [taylor]: Taking taylor expansion of z in x 2.819 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 2.819 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.819 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 2.819 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 2.819 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.819 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.819 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.819 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.819 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.819 * [taylor]: Taking taylor expansion of -1 in x 2.819 * [taylor]: Taking taylor expansion of x in x 2.819 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.819 * [taylor]: Taking taylor expansion of -1 in x 2.819 * [taylor]: Taking taylor expansion of x in x 2.820 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.820 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.820 * [taylor]: Taking taylor expansion of -1 in x 2.820 * [taylor]: Taking taylor expansion of y in x 2.820 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.820 * [taylor]: Taking taylor expansion of -1 in x 2.820 * [taylor]: Taking taylor expansion of y in x 2.822 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.823 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.823 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.823 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.823 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.823 * [taylor]: Taking taylor expansion of -1 in x 2.823 * [taylor]: Taking taylor expansion of x in x 2.823 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.823 * [taylor]: Taking taylor expansion of -1 in x 2.823 * [taylor]: Taking taylor expansion of x in x 2.823 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.823 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.823 * [taylor]: Taking taylor expansion of -1 in x 2.823 * [taylor]: Taking taylor expansion of y in x 2.823 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.823 * [taylor]: Taking taylor expansion of -1 in x 2.823 * [taylor]: Taking taylor expansion of y in x 2.826 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 2.826 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.826 * [taylor]: Taking taylor expansion of -1 in x 2.826 * [taylor]: Taking taylor expansion of z in x 2.826 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.826 * [taylor]: Taking taylor expansion of -1 in x 2.826 * [taylor]: Taking taylor expansion of z in x 2.828 * [taylor]: Taking taylor expansion of 1 in y 2.828 * [taylor]: Taking taylor expansion of 0 in y 2.828 * [taylor]: Taking taylor expansion of 1 in z 2.835 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 2.835 * [taylor]: Taking taylor expansion of 1/2 in y 2.835 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 2.835 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 2.835 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.835 * [taylor]: Taking taylor expansion of z in y 2.835 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.835 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.835 * [taylor]: Taking taylor expansion of y in y 2.837 * [taylor]: Taking taylor expansion of 0 in z 2.837 * [taylor]: Taking taylor expansion of 0 in z 2.837 * [taylor]: Taking taylor expansion of 0 in z 2.844 * [taylor]: Taking taylor expansion of 0 in y 2.845 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 2.846 * [taylor]: Taking taylor expansion of 1/2 in z 2.846 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 2.846 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.846 * [taylor]: Taking taylor expansion of z in z 2.847 * [taylor]: Taking taylor expansion of 0 in z 2.847 * [taylor]: Taking taylor expansion of 0 in z 2.856 * [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 2.857 * [taylor]: Taking taylor expansion of -1/2 in y 2.857 * [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 2.857 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 2.857 * [taylor]: Taking taylor expansion of 1/4 in y 2.857 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 2.857 * [taylor]: Taking taylor expansion of (pow z 4) in y 2.857 * [taylor]: Taking taylor expansion of z in y 2.857 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 2.857 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 2.857 * [taylor]: Taking taylor expansion of 1/2 in y 2.857 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 2.857 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 2.857 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.857 * [taylor]: Taking taylor expansion of z in y 2.857 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.857 * [taylor]: Taking taylor expansion of y in y 2.857 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 2.857 * [taylor]: Taking taylor expansion of 1/4 in y 2.857 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.857 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.858 * [taylor]: Taking taylor expansion of y in y 2.868 * [taylor]: Taking taylor expansion of 0 in z 2.868 * [taylor]: Taking taylor expansion of 0 in z 2.871 * [taylor]: Taking taylor expansion of 0 in z 2.871 * [taylor]: Taking taylor expansion of 0 in z 2.871 * [taylor]: Taking taylor expansion of 0 in z 2.873 * * * [progress]: simplifying candidates 2.873 * [simplify]: Simplifying using # : (expm1 (* (hypot (* 1 (hypot x y)) z) (sqrt (/ 1 3.0)))) (log1p (* (hypot (* 1 (hypot x y)) z) (sqrt (/ 1 3.0)))) (* (hypot (* 1 (hypot x y)) z) (sqrt (/ 1 3.0))) (+ (log (hypot (* 1 (hypot x y)) z)) (log (sqrt (/ 1 3.0)))) (log (* (hypot (* 1 (hypot x y)) z) (sqrt (/ 1 3.0)))) (exp (* (hypot (* 1 (hypot x y)) z) (sqrt (/ 1 3.0)))) (* (* (* (hypot (* 1 (hypot x y)) z) (hypot (* 1 (hypot x y)) z)) (hypot (* 1 (hypot x y)) z)) (* (* (sqrt (/ 1 3.0)) (sqrt (/ 1 3.0))) (sqrt (/ 1 3.0)))) (* (cbrt (* (hypot (* 1 (hypot x y)) z) (sqrt (/ 1 3.0)))) (cbrt (* (hypot (* 1 (hypot x y)) z) (sqrt (/ 1 3.0))))) (cbrt (* (hypot (* 1 (hypot x y)) z) (sqrt (/ 1 3.0)))) (* (* (* (hypot (* 1 (hypot x y)) z) (sqrt (/ 1 3.0))) (* (hypot (* 1 (hypot x y)) z) (sqrt (/ 1 3.0)))) (* (hypot (* 1 (hypot x y)) z) (sqrt (/ 1 3.0)))) (* (+ (* (* 1 (hypot x y)) (* 1 (hypot x y))) (* z z)) (/ 1 3.0)) (sqrt (* (hypot (* 1 (hypot x y)) z) (sqrt (/ 1 3.0)))) (sqrt (* (hypot (* 1 (hypot x y)) z) (sqrt (/ 1 3.0)))) (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (sqrt (/ 1 3.0)))) (* (hypot (* 1 (hypot x y)) z) (* (cbrt (sqrt (/ 1 3.0))) (cbrt (sqrt (/ 1 3.0))))) (* (hypot (* 1 (hypot x y)) z) (sqrt (* (cbrt (/ 1 3.0)) (cbrt (/ 1 3.0))))) (* (hypot (* 1 (hypot x y)) z) (sqrt (sqrt (/ 1 3.0)))) (* (hypot (* 1 (hypot x y)) z) (sqrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 3.0) (cbrt 3.0))))) (* (hypot (* 1 (hypot x y)) z) (sqrt (/ (* (cbrt 1) (cbrt 1)) (sqrt 3.0)))) (* (hypot (* 1 (hypot x y)) z) (sqrt (/ (* (cbrt 1) (cbrt 1)) 1))) (* (hypot (* 1 (hypot x y)) z) (sqrt (/ (sqrt 1) (* (cbrt 3.0) (cbrt 3.0))))) (* (hypot (* 1 (hypot x y)) z) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (hypot (* 1 (hypot x y)) z) (sqrt (/ (sqrt 1) 1))) (* (hypot (* 1 (hypot x y)) z) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0))))) (* (hypot (* 1 (hypot x y)) z) (sqrt (/ 1 (sqrt 3.0)))) (* (hypot (* 1 (hypot x y)) z) (sqrt (/ 1 1))) (* (hypot (* 1 (hypot x y)) z) (sqrt 1)) (* (hypot (* 1 (hypot x y)) z) (sqrt 1)) (* (hypot (* 1 (hypot x y)) z) (sqrt (sqrt (/ 1 3.0)))) (* (hypot (* 1 (hypot x y)) z) 1) (* (cbrt (hypot (* 1 (hypot x y)) z)) (sqrt (/ 1 3.0))) (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (/ 1 3.0))) (* (hypot (* 1 (hypot x y)) z) (sqrt (/ 1 3.0))) (* (hypot (* 1 (hypot x y)) z) (sqrt 1)) (expm1 (hypot (* 1 (hypot x y)) z)) (log1p (hypot (* 1 (hypot x y)) z)) (+ (* (* 1 (hypot x y)) (* 1 (hypot x y))) (* z z)) (log (hypot (* 1 (hypot x y)) z)) (exp (hypot (* 1 (hypot x y)) z)) (* (cbrt (hypot (* 1 (hypot x y)) z)) (cbrt (hypot (* 1 (hypot x y)) z))) (cbrt (hypot (* 1 (hypot x y)) z)) (* (* (hypot (* 1 (hypot x y)) z) (hypot (* 1 (hypot x y)) z)) (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) z x (* -1 x) 2.878 * * [simplify]: iteration 0 : 170 enodes (cost 392 ) 2.882 * * [simplify]: iteration 1 : 516 enodes (cost 339 ) 2.892 * * [simplify]: iteration 2 : 1450 enodes (cost 328 ) 2.908 * * [simplify]: iteration 3 : 2820 enodes (cost 328 ) 2.940 * * [simplify]: iteration 4 : 5001 enodes (cost 328 ) 2.942 * [simplify]: Simplified to: (expm1 (* (hypot (* 1 (hypot x y)) z) (sqrt (/ 1 3.0)))) (log1p (* (hypot (* 1 (hypot x y)) z) (sqrt (/ 1 3.0)))) (* (hypot (* 1 (hypot x y)) z) (sqrt (/ 1 3.0))) (log (* (hypot (* 1 (hypot x y)) z) (sqrt (/ 1 3.0)))) (log (* (hypot (* 1 (hypot x y)) z) (sqrt (/ 1 3.0)))) (exp (* (hypot (* 1 (hypot x y)) z) (sqrt (/ 1 3.0)))) (pow (* (hypot (* 1 (hypot x y)) z) (sqrt (/ 1 3.0))) 3) (* (cbrt (* (hypot (* 1 (hypot x y)) z) (sqrt (/ 1 3.0)))) (cbrt (* (hypot (* 1 (hypot x y)) z) (sqrt (/ 1 3.0))))) (cbrt (* (hypot (* 1 (hypot x y)) z) (sqrt (/ 1 3.0)))) (pow (* (hypot (* 1 (hypot x y)) z) (sqrt (/ 1 3.0))) 3) (/ (fma z z (* (hypot x y) (hypot x y))) 3.0) (sqrt (* (hypot (* 1 (hypot x y)) z) (sqrt (/ 1 3.0)))) (sqrt (* (hypot (* 1 (hypot x y)) z) (sqrt (/ 1 3.0)))) (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (sqrt (/ 1 3.0)))) (* (hypot (* 1 (hypot x y)) z) (* (cbrt (sqrt (/ 1 3.0))) (cbrt (sqrt (/ 1 3.0))))) (* (fabs (cbrt (/ 1 3.0))) (hypot (* 1 (hypot x y)) z)) (* (hypot (* 1 (hypot x y)) z) (sqrt (sqrt (/ 1 3.0)))) (* (fabs (/ 1 (cbrt 3.0))) (hypot (* 1 (hypot x y)) z)) (* (hypot (* 1 (hypot x y)) z) (sqrt (/ 1 (sqrt 3.0)))) (hypot (* 1 (hypot x y)) z) (* (fabs (/ 1 (cbrt 3.0))) (hypot (* 1 (hypot x y)) z)) (* (hypot (* 1 (hypot x y)) z) (sqrt (/ 1 (sqrt 3.0)))) (hypot (* 1 (hypot x y)) z) (* (fabs (/ 1 (cbrt 3.0))) (hypot (* 1 (hypot x y)) z)) (* (hypot (* 1 (hypot x y)) z) (sqrt (/ 1 (sqrt 3.0)))) (hypot (* 1 (hypot x y)) z) (hypot (* 1 (hypot x y)) z) (hypot (* 1 (hypot x y)) z) (* (hypot (* 1 (hypot x y)) z) (sqrt (sqrt (/ 1 3.0)))) (hypot (* 1 (hypot x y)) z) (* (cbrt (hypot (* 1 (hypot x y)) z)) (sqrt (/ 1 3.0))) (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (/ 1 3.0))) (* (hypot (* 1 (hypot x y)) z) (sqrt (/ 1 3.0))) (hypot (* 1 (hypot x y)) z) (expm1 (hypot (* 1 (hypot x y)) z)) (log1p (hypot (* 1 (hypot x y)) z)) (fma z z (* (hypot x y) (hypot x y))) (log (hypot (* 1 (hypot x y)) z)) (exp (hypot (* 1 (hypot x y)) z)) (* (cbrt (hypot (* 1 (hypot x y)) z)) (cbrt (hypot (* 1 (hypot x y)) z))) (cbrt (hypot (* 1 (hypot x y)) z)) (pow (hypot (* 1 (hypot x y)) z) 3) (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) z x (* -1 x) 2.942 * * * [progress]: adding candidates to table 3.086 * [progress]: [Phase 3 of 3] Extracting. 3.086 * * [regime]: Finding splitpoints for: (# # #) 3.087 * * * [regime-changes]: Trying 3 branch expressions: (z y x) 3.087 * * * * [regimes]: Trying to branch on z from (# # #) 3.104 * * * * [regimes]: Trying to branch on y from (# # #) 3.123 * * * * [regimes]: Trying to branch on x from (# # #) 3.141 * * * [regime]: Found split indices: #