18.191 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.023 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.025 * * [simplify]: iteration 1 : 25 enodes (cost 6 ) 0.028 * * [simplify]: iteration 2 : 31 enodes (cost 6 ) 0.031 * * [simplify]: iteration 3 : 32 enodes (cost 6 ) 0.033 * * [simplify]: iteration 4 : 32 enodes (cost 6 ) 0.033 * [simplify]: Simplified to: (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.036 * * * * [pick]: Picked # 0.036 * * * [progress]: localizing error 0.045 * * * [progress]: generating rewritten candidates 0.045 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.061 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.065 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.084 * * * [progress]: generating series expansions 0.084 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.084 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.084 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.084 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.084 * [taylor]: Taking taylor expansion of x in z 0.084 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.084 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.084 * [taylor]: Taking taylor expansion of y in z 0.084 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.084 * [taylor]: Taking taylor expansion of z in z 0.086 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.086 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.086 * [taylor]: Taking taylor expansion of x in y 0.086 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.086 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.086 * [taylor]: Taking taylor expansion of z in y 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.088 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.088 * [taylor]: Taking taylor expansion of z in x 0.089 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.089 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.089 * [taylor]: Taking taylor expansion of z in x 0.091 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.091 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.091 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.091 * [taylor]: Taking taylor expansion of z in y 0.091 * [taylor]: Taking taylor expansion of z in z 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [taylor]: Taking taylor expansion of 0 in z 0.092 * [taylor]: Taking taylor expansion of 0 in z 0.094 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.094 * [taylor]: Taking taylor expansion of 1/2 in y 0.094 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.094 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.094 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.094 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.094 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.094 * [taylor]: Taking taylor expansion of z in y 0.095 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.095 * [taylor]: Taking taylor expansion of 1/2 in z 0.095 * [taylor]: Taking taylor expansion of z in z 0.096 * [taylor]: Taking taylor expansion of 0 in z 0.098 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.098 * [taylor]: Taking taylor expansion of 1/2 in z 0.098 * [taylor]: Taking taylor expansion of z in z 0.099 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.099 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.099 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.099 * [taylor]: Taking taylor expansion of x in z 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.100 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.100 * [taylor]: Taking taylor expansion of z in z 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.100 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.100 * [taylor]: Taking taylor expansion of y in z 0.103 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.103 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.103 * [taylor]: Taking taylor expansion of x in y 0.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.103 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.103 * [taylor]: Taking taylor expansion of z in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.104 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.107 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.107 * [taylor]: Taking taylor expansion of z in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.108 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.110 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.111 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.111 * [taylor]: Taking taylor expansion of z in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.111 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.111 * [taylor]: Taking taylor expansion of y in x 0.113 * [taylor]: Taking taylor expansion of 1 in y 0.113 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [taylor]: Taking taylor expansion of 1 in z 0.116 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.116 * [taylor]: Taking taylor expansion of 1/2 in y 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.116 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.117 * [taylor]: Taking taylor expansion of z in y 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.117 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.117 * [taylor]: Taking taylor expansion of y in y 0.119 * [taylor]: Taking taylor expansion of 0 in z 0.119 * [taylor]: Taking taylor expansion of 0 in z 0.119 * [taylor]: Taking taylor expansion of 0 in z 0.122 * [taylor]: Taking taylor expansion of 0 in y 0.124 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.124 * [taylor]: Taking taylor expansion of 1/2 in z 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.124 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.124 * [taylor]: Taking taylor expansion of z in z 0.126 * [taylor]: Taking taylor expansion of 0 in z 0.126 * [taylor]: Taking taylor expansion of 0 in z 0.131 * [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 0.131 * [taylor]: Taking taylor expansion of -1/2 in y 0.131 * [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 0.131 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.131 * [taylor]: Taking taylor expansion of 1/4 in y 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.131 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.131 * [taylor]: Taking taylor expansion of z in y 0.131 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.131 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.131 * [taylor]: Taking taylor expansion of 1/2 in y 0.131 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.131 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.131 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.131 * [taylor]: Taking taylor expansion of z in y 0.131 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.131 * [taylor]: Taking taylor expansion of y in y 0.132 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.132 * [taylor]: Taking taylor expansion of 1/4 in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.132 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.143 * [taylor]: Taking taylor expansion of 0 in z 0.143 * [taylor]: Taking taylor expansion of 0 in z 0.145 * [taylor]: Taking taylor expansion of 0 in z 0.145 * [taylor]: Taking taylor expansion of 0 in z 0.145 * [taylor]: Taking taylor expansion of 0 in z 0.147 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.147 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.147 * [taylor]: Taking taylor expansion of x in z 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.147 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.147 * [taylor]: Taking taylor expansion of z in z 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.148 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.148 * [taylor]: Taking taylor expansion of y in z 0.150 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.150 * [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 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.154 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.154 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.154 * [taylor]: Taking taylor expansion of z in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.154 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.155 * [taylor]: Taking taylor expansion of y in x 0.156 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.157 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.157 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.157 * [taylor]: Taking taylor expansion of z in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.157 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.157 * [taylor]: Taking taylor expansion of y in x 0.159 * [taylor]: Taking taylor expansion of 1 in y 0.159 * [taylor]: Taking taylor expansion of 0 in y 0.159 * [taylor]: Taking taylor expansion of 1 in z 0.162 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.162 * [taylor]: Taking taylor expansion of 1/2 in y 0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.162 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.162 * [taylor]: Taking taylor expansion of z in y 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.162 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.162 * [taylor]: Taking taylor expansion of y in y 0.164 * [taylor]: Taking taylor expansion of 0 in z 0.164 * [taylor]: Taking taylor expansion of 0 in z 0.164 * [taylor]: Taking taylor expansion of 0 in z 0.166 * [taylor]: Taking taylor expansion of 0 in y 0.168 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.168 * [taylor]: Taking taylor expansion of 1/2 in z 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.168 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.168 * [taylor]: Taking taylor expansion of z in z 0.170 * [taylor]: Taking taylor expansion of 0 in z 0.170 * [taylor]: Taking taylor expansion of 0 in z 0.174 * [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 0.175 * [taylor]: Taking taylor expansion of -1/2 in y 0.175 * [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 0.175 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.175 * [taylor]: Taking taylor expansion of 1/4 in y 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.175 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.175 * [taylor]: Taking taylor expansion of z in y 0.175 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.175 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.175 * [taylor]: Taking taylor expansion of 1/2 in y 0.175 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.175 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.175 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.175 * [taylor]: Taking taylor expansion of z in y 0.175 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.175 * [taylor]: Taking taylor expansion of y in y 0.176 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.176 * [taylor]: Taking taylor expansion of 1/4 in y 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.176 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.176 * [taylor]: Taking taylor expansion of y in y 0.191 * [taylor]: Taking taylor expansion of 0 in z 0.191 * [taylor]: Taking taylor expansion of 0 in z 0.193 * [taylor]: Taking taylor expansion of 0 in z 0.193 * [taylor]: Taking taylor expansion of 0 in z 0.193 * [taylor]: Taking taylor expansion of 0 in z 0.195 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.195 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.195 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.195 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.196 * [taylor]: Taking taylor expansion of x in y 0.196 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.196 * [taylor]: Taking taylor expansion of y in y 0.196 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.196 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.196 * [taylor]: Taking taylor expansion of y in x 0.196 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.196 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.196 * [taylor]: Taking taylor expansion of y in x 0.196 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.196 * [taylor]: Taking taylor expansion of y in y 0.196 * [taylor]: Taking taylor expansion of 0 in y 0.197 * [taylor]: Taking taylor expansion of 1 in y 0.199 * [taylor]: Taking taylor expansion of 0 in y 0.201 * [taylor]: Taking taylor expansion of 0 in y 0.201 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.201 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.202 * [taylor]: Taking taylor expansion of x in y 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.202 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.202 * [taylor]: Taking taylor expansion of y in y 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.203 * [taylor]: Taking taylor expansion of y in x 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.204 * [taylor]: Taking taylor expansion of 1 in y 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.207 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.209 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.213 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.214 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.214 * [taylor]: Taking taylor expansion of x in y 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.214 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.214 * [taylor]: Taking taylor expansion of y in y 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.214 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.215 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.215 * [taylor]: Taking taylor expansion of y in x 0.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.215 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.216 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.216 * [taylor]: Taking taylor expansion of y in x 0.216 * [taylor]: Taking taylor expansion of 1 in y 0.217 * [taylor]: Taking taylor expansion of 0 in y 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.219 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.219 * [taylor]: Taking taylor expansion of y in y 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.224 * [taylor]: Taking taylor expansion of 0 in y 0.226 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.226 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in (x y z) around 0 0.226 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.226 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.226 * [taylor]: Taking taylor expansion of x in z 0.226 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.226 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.226 * [taylor]: Taking taylor expansion of y in z 0.226 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.226 * [taylor]: Taking taylor expansion of z in z 0.226 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.226 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.226 * [taylor]: Taking taylor expansion of x in y 0.226 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.226 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.226 * [taylor]: Taking taylor expansion of y in y 0.227 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.227 * [taylor]: Taking taylor expansion of z in y 0.227 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.227 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.227 * [taylor]: Taking taylor expansion of y in x 0.227 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.227 * [taylor]: Taking taylor expansion of z in x 0.227 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.227 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.227 * [taylor]: Taking taylor expansion of y in x 0.227 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.227 * [taylor]: Taking taylor expansion of z in x 0.227 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.227 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.227 * [taylor]: Taking taylor expansion of z in y 0.227 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.227 * [taylor]: Taking taylor expansion of z in z 0.228 * [taylor]: Taking taylor expansion of 0 in y 0.228 * [taylor]: Taking taylor expansion of 0 in z 0.229 * [taylor]: Taking taylor expansion of 0 in z 0.230 * [taylor]: Taking taylor expansion of 1 in y 0.230 * [taylor]: Taking taylor expansion of 1 in z 0.230 * [taylor]: Taking taylor expansion of 0 in z 0.231 * [taylor]: Taking taylor expansion of 1 in z 0.232 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.232 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.232 * [taylor]: Taking taylor expansion of x in z 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.233 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.233 * [taylor]: Taking taylor expansion of z in z 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.233 * [taylor]: Taking taylor expansion of y in z 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.233 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.233 * [taylor]: Taking taylor expansion of x in y 0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.234 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.234 * [taylor]: Taking taylor expansion of z in y 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.234 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.234 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.235 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.235 * [taylor]: Taking taylor expansion of z in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.235 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.235 * [taylor]: Taking taylor expansion of y in x 0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.235 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.236 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.236 * [taylor]: Taking taylor expansion of z in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.236 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.236 * [taylor]: Taking taylor expansion of y in x 0.237 * [taylor]: Taking taylor expansion of 1 in y 0.238 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.239 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.240 * [taylor]: Taking taylor expansion of z in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.240 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.241 * [taylor]: Taking taylor expansion of 1 in z 0.241 * [taylor]: Taking taylor expansion of 1 in z 0.243 * [taylor]: Taking taylor expansion of 0 in y 0.244 * [taylor]: Taking taylor expansion of 0 in z 0.244 * [taylor]: Taking taylor expansion of 0 in z 0.244 * [taylor]: Taking taylor expansion of 0 in z 0.247 * [taylor]: Taking taylor expansion of 0 in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.249 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.249 * [taylor]: Taking taylor expansion of z in z 0.249 * [taylor]: Taking taylor expansion of 0 in z 0.249 * [taylor]: Taking taylor expansion of 0 in z 0.250 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.250 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.250 * [taylor]: Taking taylor expansion of x in z 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.251 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.251 * [taylor]: Taking taylor expansion of z in z 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.251 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.251 * [taylor]: Taking taylor expansion of y in z 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.251 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.251 * [taylor]: Taking taylor expansion of x in y 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.252 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.252 * [taylor]: Taking taylor expansion of z in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.252 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.253 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.253 * [taylor]: Taking taylor expansion of z in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.253 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.254 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.254 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.254 * [taylor]: Taking taylor expansion of z in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.254 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.254 * [taylor]: Taking taylor expansion of y in x 0.255 * [taylor]: Taking taylor expansion of 1 in y 0.256 * [taylor]: Taking taylor expansion of 0 in y 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.258 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.258 * [taylor]: Taking taylor expansion of z in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.258 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of 1 in z 0.259 * [taylor]: Taking taylor expansion of 1 in z 0.261 * [taylor]: Taking taylor expansion of 0 in y 0.262 * [taylor]: Taking taylor expansion of 0 in z 0.262 * [taylor]: Taking taylor expansion of 0 in z 0.262 * [taylor]: Taking taylor expansion of 0 in z 0.265 * [taylor]: Taking taylor expansion of 0 in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.267 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.267 * [taylor]: Taking taylor expansion of z in z 0.267 * [taylor]: Taking taylor expansion of 0 in z 0.267 * [taylor]: Taking taylor expansion of 0 in z 0.268 * * * [progress]: simplifying candidates 0.269 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (expm1 (+ (* 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) (+ (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))) 0.275 * * [simplify]: iteration 0 : 225 enodes (cost 355 ) 0.282 * * [simplify]: iteration 1 : 1043 enodes (cost 323 ) 0.303 * * [simplify]: iteration 2 : 3749 enodes (cost 312 ) 0.378 * * [simplify]: iteration 3 : 5001 enodes (cost 309 ) 0.380 * [simplify]: Simplified to: (expm1 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (hypot (pow z 3) (pow (fma x x (* y y)) 3/2)) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z))) 1/2 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (expm1 (+ (* 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 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 (+ (+ (* 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 (+ (+ (* x x) (* 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 z (pow z 5) (pow (fma x x (* y y)) 3)) (fma (fma x x (* y y)) (fma x x (- (pow y 2) (pow z 2))) (pow z 4)) (* (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) (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))) 0.380 * * * [progress]: adding candidates to table 0.573 * * [progress]: iteration 2 / 4 0.573 * * * [progress]: picking best candidate 0.582 * * * * [pick]: Picked # 0.582 * * * [progress]: localizing error 0.590 * * * [progress]: generating rewritten candidates 0.591 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.595 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.595 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.599 * * * [progress]: generating series expansions 0.599 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.599 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.599 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.599 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.599 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.599 * [taylor]: Taking taylor expansion of x in y 0.599 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.599 * [taylor]: Taking taylor expansion of y in y 0.600 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.600 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.600 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.601 * [taylor]: Taking taylor expansion of y in x 0.601 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.601 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.601 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.601 * [taylor]: Taking taylor expansion of y in x 0.602 * [taylor]: Taking taylor expansion of y in y 0.602 * [taylor]: Taking taylor expansion of 0 in y 0.604 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.604 * [taylor]: Taking taylor expansion of 1/2 in y 0.604 * [taylor]: Taking taylor expansion of y in y 0.606 * [taylor]: Taking taylor expansion of 0 in y 0.607 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.607 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.607 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.607 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.607 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.607 * [taylor]: Taking taylor expansion of x in y 0.607 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.607 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.607 * [taylor]: Taking taylor expansion of y in y 0.610 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.610 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.610 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.611 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.611 * [taylor]: Taking taylor expansion of y in x 0.613 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.613 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.613 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.613 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.614 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.614 * [taylor]: Taking taylor expansion of y in x 0.616 * [taylor]: Taking taylor expansion of 1 in y 0.616 * [taylor]: Taking taylor expansion of 0 in y 0.619 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.619 * [taylor]: Taking taylor expansion of 1/2 in y 0.619 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.619 * [taylor]: Taking taylor expansion of y in y 0.623 * [taylor]: Taking taylor expansion of 0 in y 0.624 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.624 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.624 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.624 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.624 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.624 * [taylor]: Taking taylor expansion of x in y 0.624 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.624 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.624 * [taylor]: Taking taylor expansion of y in y 0.627 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.627 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.627 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.627 * [taylor]: Taking taylor expansion of x in x 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.627 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.628 * [taylor]: Taking taylor expansion of y in x 0.630 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.630 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.630 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.630 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.630 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.630 * [taylor]: Taking taylor expansion of y in x 0.632 * [taylor]: Taking taylor expansion of 1 in y 0.632 * [taylor]: Taking taylor expansion of 0 in y 0.634 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.635 * [taylor]: Taking taylor expansion of 1/2 in y 0.635 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.635 * [taylor]: Taking taylor expansion of y in y 0.638 * [taylor]: Taking taylor expansion of 0 in y 0.639 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.640 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in (x y z) around 0 0.640 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in z 0.640 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.640 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in z 0.640 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in z 0.640 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 0.640 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 0.640 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.640 * [taylor]: Taking taylor expansion of x in z 0.640 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.640 * [taylor]: Taking taylor expansion of y in z 0.641 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 0.641 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 0.641 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.641 * [taylor]: Taking taylor expansion of x in z 0.641 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.641 * [taylor]: Taking taylor expansion of y in z 0.642 * [taylor]: Taking taylor expansion of (* z z) in z 0.642 * [taylor]: Taking taylor expansion of z in z 0.642 * [taylor]: Taking taylor expansion of z in z 0.643 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in y 0.644 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.644 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in y 0.644 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in y 0.644 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.644 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.644 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.644 * [taylor]: Taking taylor expansion of x in y 0.644 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.644 * [taylor]: Taking taylor expansion of y in y 0.644 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.644 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.644 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.644 * [taylor]: Taking taylor expansion of x in y 0.644 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.644 * [taylor]: Taking taylor expansion of y in y 0.645 * [taylor]: Taking taylor expansion of (* z z) in y 0.645 * [taylor]: Taking taylor expansion of z in y 0.645 * [taylor]: Taking taylor expansion of z in y 0.646 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 0.646 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.646 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 0.646 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 0.646 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.646 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.646 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.646 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.646 * [taylor]: Taking taylor expansion of y in x 0.647 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.647 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.647 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.647 * [taylor]: Taking taylor expansion of y in x 0.647 * [taylor]: Taking taylor expansion of (* z z) in x 0.647 * [taylor]: Taking taylor expansion of z in x 0.647 * [taylor]: Taking taylor expansion of z in x 0.648 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 0.648 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.648 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 0.648 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 0.648 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.648 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.648 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.648 * [taylor]: Taking taylor expansion of y in x 0.649 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.649 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.649 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.649 * [taylor]: Taking taylor expansion of y in x 0.650 * [taylor]: Taking taylor expansion of (* z z) in x 0.650 * [taylor]: Taking taylor expansion of z in x 0.650 * [taylor]: Taking taylor expansion of z in x 0.651 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.651 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.651 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.651 * [taylor]: Taking taylor expansion of y in y 0.651 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.651 * [taylor]: Taking taylor expansion of z in y 0.651 * [taylor]: Taking taylor expansion of z in z 0.651 * [taylor]: Taking taylor expansion of 0 in y 0.651 * [taylor]: Taking taylor expansion of 0 in z 0.651 * [taylor]: Taking taylor expansion of 0 in z 0.655 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.655 * [taylor]: Taking taylor expansion of 1/2 in y 0.656 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.656 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.656 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.656 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.656 * [taylor]: Taking taylor expansion of y in y 0.656 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.656 * [taylor]: Taking taylor expansion of z in y 0.657 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.657 * [taylor]: Taking taylor expansion of 1/2 in z 0.657 * [taylor]: Taking taylor expansion of z in z 0.658 * [taylor]: Taking taylor expansion of 0 in z 0.662 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.662 * [taylor]: Taking taylor expansion of 1/2 in z 0.663 * [taylor]: Taking taylor expansion of z in z 0.664 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in (x y z) around 0 0.664 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in z 0.664 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 0.664 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in z 0.664 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in z 0.664 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.664 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.664 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.664 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.664 * [taylor]: Taking taylor expansion of x in z 0.664 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.664 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.664 * [taylor]: Taking taylor expansion of y in z 0.666 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.666 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.666 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.666 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.666 * [taylor]: Taking taylor expansion of x in z 0.666 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.666 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.666 * [taylor]: Taking taylor expansion of y in z 0.667 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 0.667 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.667 * [taylor]: Taking taylor expansion of z in z 0.668 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.668 * [taylor]: Taking taylor expansion of z in z 0.671 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in y 0.671 * [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)))) 0.671 * [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 0.671 * [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 0.671 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.671 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.671 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.671 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.671 * [taylor]: Taking taylor expansion of x in y 0.671 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.671 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.671 * [taylor]: Taking taylor expansion of y in y 0.674 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.674 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.674 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.674 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.674 * [taylor]: Taking taylor expansion of x in y 0.674 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.674 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.674 * [taylor]: Taking taylor expansion of y in y 0.677 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 0.677 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.677 * [taylor]: Taking taylor expansion of z in y 0.677 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.677 * [taylor]: Taking taylor expansion of z in y 0.679 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 0.679 * [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)))) 0.679 * [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 0.679 * [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 0.679 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.679 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.679 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.679 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.679 * [taylor]: Taking taylor expansion of x in x 0.679 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.680 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.680 * [taylor]: Taking taylor expansion of y in x 0.682 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.682 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.682 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.682 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.682 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.682 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.682 * [taylor]: Taking taylor expansion of y in x 0.684 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 0.685 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.685 * [taylor]: Taking taylor expansion of z in x 0.685 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.685 * [taylor]: Taking taylor expansion of z in x 0.686 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 0.687 * [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)))) 0.687 * [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 0.687 * [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 0.687 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.687 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.687 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.687 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.687 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.687 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.687 * [taylor]: Taking taylor expansion of y in x 0.689 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.690 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.690 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.690 * [taylor]: Taking taylor expansion of y in x 0.692 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 0.692 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.692 * [taylor]: Taking taylor expansion of z in x 0.692 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.692 * [taylor]: Taking taylor expansion of z in x 0.694 * [taylor]: Taking taylor expansion of 1 in y 0.694 * [taylor]: Taking taylor expansion of 0 in y 0.694 * [taylor]: Taking taylor expansion of 1 in z 0.700 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.700 * [taylor]: Taking taylor expansion of 1/2 in y 0.700 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.701 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.701 * [taylor]: Taking taylor expansion of z in y 0.701 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.701 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.701 * [taylor]: Taking taylor expansion of y in y 0.703 * [taylor]: Taking taylor expansion of 0 in z 0.703 * [taylor]: Taking taylor expansion of 0 in z 0.703 * [taylor]: Taking taylor expansion of 0 in z 0.709 * [taylor]: Taking taylor expansion of 0 in y 0.711 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.711 * [taylor]: Taking taylor expansion of 1/2 in z 0.711 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.711 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.711 * [taylor]: Taking taylor expansion of z in z 0.712 * [taylor]: Taking taylor expansion of 0 in z 0.713 * [taylor]: Taking taylor expansion of 0 in z 0.721 * [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 0.721 * [taylor]: Taking taylor expansion of -1/2 in y 0.721 * [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 0.721 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.721 * [taylor]: Taking taylor expansion of 1/4 in y 0.721 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.722 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.722 * [taylor]: Taking taylor expansion of z in y 0.722 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.722 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.722 * [taylor]: Taking taylor expansion of 1/2 in y 0.722 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.722 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.722 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.722 * [taylor]: Taking taylor expansion of z in y 0.722 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.722 * [taylor]: Taking taylor expansion of y in y 0.722 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.723 * [taylor]: Taking taylor expansion of 1/4 in y 0.723 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.723 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.723 * [taylor]: Taking taylor expansion of y in y 0.734 * [taylor]: Taking taylor expansion of 0 in z 0.734 * [taylor]: Taking taylor expansion of 0 in z 0.737 * [taylor]: Taking taylor expansion of 0 in z 0.737 * [taylor]: Taking taylor expansion of 0 in z 0.737 * [taylor]: Taking taylor expansion of 0 in z 0.739 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in (x y z) around 0 0.739 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in z 0.739 * [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)))) 0.739 * [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 0.739 * [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 0.739 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.739 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.739 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.739 * [taylor]: Taking taylor expansion of x in z 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.739 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.739 * [taylor]: Taking taylor expansion of y in z 0.741 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.741 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.741 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.741 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.741 * [taylor]: Taking taylor expansion of x in z 0.741 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.741 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.741 * [taylor]: Taking taylor expansion of y in z 0.743 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 0.743 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.743 * [taylor]: Taking taylor expansion of -1 in z 0.743 * [taylor]: Taking taylor expansion of z in z 0.743 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.743 * [taylor]: Taking taylor expansion of -1 in z 0.743 * [taylor]: Taking taylor expansion of z in z 0.746 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in y 0.747 * [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)))) 0.747 * [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 0.747 * [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 0.747 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.747 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.747 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.747 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.747 * [taylor]: Taking taylor expansion of x in y 0.747 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.747 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.747 * [taylor]: Taking taylor expansion of y in y 0.750 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.750 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.750 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.750 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.750 * [taylor]: Taking taylor expansion of x in y 0.750 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.750 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.750 * [taylor]: Taking taylor expansion of y in y 0.753 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 0.753 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.753 * [taylor]: Taking taylor expansion of -1 in y 0.753 * [taylor]: Taking taylor expansion of z in y 0.753 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.753 * [taylor]: Taking taylor expansion of -1 in y 0.753 * [taylor]: Taking taylor expansion of z in y 0.755 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 0.755 * [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)))) 0.755 * [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 0.755 * [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 0.755 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.755 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.755 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.755 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.756 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.756 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.756 * [taylor]: Taking taylor expansion of y in x 0.762 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.762 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.762 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.762 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.762 * [taylor]: Taking taylor expansion of x in x 0.763 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.763 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.763 * [taylor]: Taking taylor expansion of y in x 0.765 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 0.765 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.765 * [taylor]: Taking taylor expansion of -1 in x 0.765 * [taylor]: Taking taylor expansion of z in x 0.765 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.765 * [taylor]: Taking taylor expansion of -1 in x 0.765 * [taylor]: Taking taylor expansion of z in x 0.767 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 0.768 * [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)))) 0.768 * [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 0.768 * [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 0.768 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.768 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.768 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.768 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.768 * [taylor]: Taking taylor expansion of x in x 0.768 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.768 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.768 * [taylor]: Taking taylor expansion of y in x 0.771 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.771 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.771 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.771 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.771 * [taylor]: Taking taylor expansion of x in x 0.771 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.771 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.771 * [taylor]: Taking taylor expansion of y in x 0.773 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 0.773 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.773 * [taylor]: Taking taylor expansion of -1 in x 0.774 * [taylor]: Taking taylor expansion of z in x 0.774 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.774 * [taylor]: Taking taylor expansion of -1 in x 0.774 * [taylor]: Taking taylor expansion of z in x 0.776 * [taylor]: Taking taylor expansion of 1 in y 0.776 * [taylor]: Taking taylor expansion of 0 in y 0.776 * [taylor]: Taking taylor expansion of 1 in z 0.782 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.782 * [taylor]: Taking taylor expansion of 1/2 in y 0.782 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.782 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.782 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.782 * [taylor]: Taking taylor expansion of z in y 0.782 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.782 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.782 * [taylor]: Taking taylor expansion of y in y 0.784 * [taylor]: Taking taylor expansion of 0 in z 0.784 * [taylor]: Taking taylor expansion of 0 in z 0.784 * [taylor]: Taking taylor expansion of 0 in z 0.790 * [taylor]: Taking taylor expansion of 0 in y 0.792 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.792 * [taylor]: Taking taylor expansion of 1/2 in z 0.792 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.792 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.792 * [taylor]: Taking taylor expansion of z in z 0.794 * [taylor]: Taking taylor expansion of 0 in z 0.794 * [taylor]: Taking taylor expansion of 0 in z 0.802 * [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 0.803 * [taylor]: Taking taylor expansion of -1/2 in y 0.803 * [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 0.803 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.803 * [taylor]: Taking taylor expansion of 1/4 in y 0.803 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.803 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.803 * [taylor]: Taking taylor expansion of z in y 0.803 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.803 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.803 * [taylor]: Taking taylor expansion of 1/2 in y 0.803 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.803 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.803 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.803 * [taylor]: Taking taylor expansion of z in y 0.803 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.803 * [taylor]: Taking taylor expansion of y in y 0.804 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.804 * [taylor]: Taking taylor expansion of 1/4 in y 0.804 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.804 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.804 * [taylor]: Taking taylor expansion of y in y 0.814 * [taylor]: Taking taylor expansion of 0 in z 0.814 * [taylor]: Taking taylor expansion of 0 in z 0.816 * [taylor]: Taking taylor expansion of 0 in z 0.817 * [taylor]: Taking taylor expansion of 0 in z 0.817 * [taylor]: Taking taylor expansion of 0 in z 0.818 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.818 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.818 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.818 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.818 * [taylor]: Taking taylor expansion of x in y 0.819 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.819 * [taylor]: Taking taylor expansion of y in y 0.819 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.819 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.819 * [taylor]: Taking taylor expansion of y in x 0.819 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.819 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.819 * [taylor]: Taking taylor expansion of y in x 0.819 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.819 * [taylor]: Taking taylor expansion of y in y 0.819 * [taylor]: Taking taylor expansion of 0 in y 0.820 * [taylor]: Taking taylor expansion of 1 in y 0.822 * [taylor]: Taking taylor expansion of 0 in y 0.823 * [taylor]: Taking taylor expansion of 0 in y 0.824 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.824 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.824 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.824 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.824 * [taylor]: Taking taylor expansion of x in y 0.824 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.824 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.824 * [taylor]: Taking taylor expansion of y in y 0.825 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.825 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.825 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.825 * [taylor]: Taking taylor expansion of x in x 0.825 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.825 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.825 * [taylor]: Taking taylor expansion of y in x 0.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.826 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.826 * [taylor]: Taking taylor expansion of x in x 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.826 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.826 * [taylor]: Taking taylor expansion of y in x 0.827 * [taylor]: Taking taylor expansion of 1 in y 0.828 * [taylor]: Taking taylor expansion of 0 in y 0.829 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.829 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.829 * [taylor]: Taking taylor expansion of y in y 0.831 * [taylor]: Taking taylor expansion of 0 in y 0.834 * [taylor]: Taking taylor expansion of 0 in y 0.836 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.836 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.836 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.836 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.836 * [taylor]: Taking taylor expansion of x in y 0.836 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.836 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.836 * [taylor]: Taking taylor expansion of y in y 0.837 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.837 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.837 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.837 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.837 * [taylor]: Taking taylor expansion of y in x 0.838 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.838 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.838 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.838 * [taylor]: Taking taylor expansion of x in x 0.838 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.838 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.838 * [taylor]: Taking taylor expansion of y in x 0.839 * [taylor]: Taking taylor expansion of 1 in y 0.840 * [taylor]: Taking taylor expansion of 0 in y 0.841 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.841 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.841 * [taylor]: Taking taylor expansion of y in y 0.844 * [taylor]: Taking taylor expansion of 0 in y 0.847 * [taylor]: Taking taylor expansion of 0 in y 0.848 * * * [progress]: simplifying candidates 0.849 * [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)) (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)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) y x (* -1 x) z x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.857 * * [simplify]: iteration 0 : 152 enodes (cost 254 ) 0.862 * * [simplify]: iteration 1 : 617 enodes (cost 227 ) 0.873 * * [simplify]: iteration 2 : 1802 enodes (cost 223 ) 0.919 * * [simplify]: iteration 3 : 5002 enodes (cost 221 ) 0.922 * [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)) (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)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (hypot x y) 6) (hypot x y) (hypot x y) (fma y (pow y 5) (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* x x) (* y y)) y x (* -1 x) z x (* -1 x) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.922 * * * [progress]: adding candidates to table 1.079 * * [progress]: iteration 3 / 4 1.079 * * * [progress]: picking best candidate 1.084 * * * * [pick]: Picked # 1.084 * * * [progress]: localizing error 1.091 * * * [progress]: generating rewritten candidates 1.091 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.091 * * * [progress]: generating series expansions 1.091 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.092 * [approximate]: Taking taylor expansion of (hypot (hypot x y) z) in (x y z) around 0 1.092 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in z 1.092 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.092 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in z 1.092 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z 1.092 * [taylor]: Taking taylor expansion of (hypot x y) in z 1.092 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.092 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 1.092 * [taylor]: Taking taylor expansion of (* x x) in z 1.092 * [taylor]: Taking taylor expansion of x in z 1.092 * [taylor]: Taking taylor expansion of x in z 1.092 * [taylor]: Taking taylor expansion of (* y y) in z 1.092 * [taylor]: Taking taylor expansion of y in z 1.092 * [taylor]: Taking taylor expansion of y in z 1.093 * [taylor]: Taking taylor expansion of (hypot x y) in z 1.093 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.093 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 1.093 * [taylor]: Taking taylor expansion of (* x x) in z 1.093 * [taylor]: Taking taylor expansion of x in z 1.093 * [taylor]: Taking taylor expansion of x in z 1.093 * [taylor]: Taking taylor expansion of (* y y) in z 1.093 * [taylor]: Taking taylor expansion of y in z 1.093 * [taylor]: Taking taylor expansion of y in z 1.094 * [taylor]: Taking taylor expansion of (* z z) in z 1.094 * [taylor]: Taking taylor expansion of z in z 1.094 * [taylor]: Taking taylor expansion of z in z 1.097 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in y 1.097 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.097 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in y 1.097 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y 1.097 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.097 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.097 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.097 * [taylor]: Taking taylor expansion of (* x x) in y 1.097 * [taylor]: Taking taylor expansion of x in y 1.097 * [taylor]: Taking taylor expansion of x in y 1.097 * [taylor]: Taking taylor expansion of (* y y) in y 1.097 * [taylor]: Taking taylor expansion of y in y 1.097 * [taylor]: Taking taylor expansion of y in y 1.098 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.098 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.098 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.098 * [taylor]: Taking taylor expansion of (* x x) in y 1.098 * [taylor]: Taking taylor expansion of x in y 1.098 * [taylor]: Taking taylor expansion of x in y 1.099 * [taylor]: Taking taylor expansion of (* y y) in y 1.099 * [taylor]: Taking taylor expansion of y in y 1.099 * [taylor]: Taking taylor expansion of y in y 1.100 * [taylor]: Taking taylor expansion of (* z z) in y 1.100 * [taylor]: Taking taylor expansion of z in y 1.100 * [taylor]: Taking taylor expansion of z in y 1.101 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 1.101 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.101 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 1.101 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 1.101 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.101 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.101 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.101 * [taylor]: Taking taylor expansion of (* x x) in x 1.101 * [taylor]: Taking taylor expansion of x in x 1.101 * [taylor]: Taking taylor expansion of x in x 1.101 * [taylor]: Taking taylor expansion of (* y y) in x 1.101 * [taylor]: Taking taylor expansion of y in x 1.101 * [taylor]: Taking taylor expansion of y in x 1.102 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.103 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.103 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.103 * [taylor]: Taking taylor expansion of (* x x) in x 1.103 * [taylor]: Taking taylor expansion of x in x 1.103 * [taylor]: Taking taylor expansion of x in x 1.103 * [taylor]: Taking taylor expansion of (* y y) in x 1.103 * [taylor]: Taking taylor expansion of y in x 1.103 * [taylor]: Taking taylor expansion of y in x 1.104 * [taylor]: Taking taylor expansion of (* z z) in x 1.104 * [taylor]: Taking taylor expansion of z in x 1.104 * [taylor]: Taking taylor expansion of z in x 1.105 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 1.105 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.105 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 1.105 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 1.105 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.105 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.105 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.105 * [taylor]: Taking taylor expansion of (* x x) in x 1.105 * [taylor]: Taking taylor expansion of x in x 1.105 * [taylor]: Taking taylor expansion of x in x 1.105 * [taylor]: Taking taylor expansion of (* y y) in x 1.105 * [taylor]: Taking taylor expansion of y in x 1.105 * [taylor]: Taking taylor expansion of y in x 1.107 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.107 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.107 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.107 * [taylor]: Taking taylor expansion of (* x x) in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.107 * [taylor]: Taking taylor expansion of (* y y) in x 1.107 * [taylor]: Taking taylor expansion of y in x 1.107 * [taylor]: Taking taylor expansion of y in x 1.108 * [taylor]: Taking taylor expansion of (* z z) in x 1.108 * [taylor]: Taking taylor expansion of z in x 1.108 * [taylor]: Taking taylor expansion of z in x 1.109 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 1.109 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.109 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.109 * [taylor]: Taking taylor expansion of y in y 1.109 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.109 * [taylor]: Taking taylor expansion of z in y 1.110 * [taylor]: Taking taylor expansion of z in z 1.110 * [taylor]: Taking taylor expansion of 0 in y 1.110 * [taylor]: Taking taylor expansion of 0 in z 1.110 * [taylor]: Taking taylor expansion of 0 in z 1.115 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 1.115 * [taylor]: Taking taylor expansion of 1/2 in y 1.115 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 1.115 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 1.115 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.115 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.115 * [taylor]: Taking taylor expansion of y in y 1.115 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.115 * [taylor]: Taking taylor expansion of z in y 1.116 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.116 * [taylor]: Taking taylor expansion of 1/2 in z 1.116 * [taylor]: Taking taylor expansion of z in z 1.117 * [taylor]: Taking taylor expansion of 0 in z 1.118 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.118 * [taylor]: Taking taylor expansion of 1/2 in z 1.119 * [taylor]: Taking taylor expansion of z in z 1.120 * [approximate]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in (x y z) around 0 1.120 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in z 1.120 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.120 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in z 1.120 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z 1.120 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 1.120 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.120 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 1.120 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 1.120 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.120 * [taylor]: Taking taylor expansion of x in z 1.120 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.120 * [taylor]: Taking taylor expansion of x in z 1.120 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 1.120 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.120 * [taylor]: Taking taylor expansion of y in z 1.120 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.120 * [taylor]: Taking taylor expansion of y in z 1.122 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 1.122 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.122 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 1.122 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 1.122 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.122 * [taylor]: Taking taylor expansion of x in z 1.122 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.122 * [taylor]: Taking taylor expansion of x in z 1.122 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 1.122 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.122 * [taylor]: Taking taylor expansion of y in z 1.122 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.122 * [taylor]: Taking taylor expansion of y in z 1.124 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 1.124 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.124 * [taylor]: Taking taylor expansion of z in z 1.124 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.124 * [taylor]: Taking taylor expansion of z in z 1.127 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y 1.127 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.127 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y 1.127 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 1.127 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.128 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.128 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.128 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.128 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.128 * [taylor]: Taking taylor expansion of x in y 1.128 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.128 * [taylor]: Taking taylor expansion of x in y 1.128 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.128 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.128 * [taylor]: Taking taylor expansion of y in y 1.128 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.128 * [taylor]: Taking taylor expansion of y in y 1.131 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.132 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.132 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.132 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.132 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.132 * [taylor]: Taking taylor expansion of x in y 1.132 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.132 * [taylor]: Taking taylor expansion of x in y 1.132 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.132 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.132 * [taylor]: Taking taylor expansion of y in y 1.132 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.132 * [taylor]: Taking taylor expansion of y in y 1.135 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 1.135 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.135 * [taylor]: Taking taylor expansion of z in y 1.135 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.135 * [taylor]: Taking taylor expansion of z in y 1.137 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 1.137 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.137 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 1.137 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.137 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.138 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.138 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.138 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.138 * [taylor]: Taking taylor expansion of x in x 1.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.138 * [taylor]: Taking taylor expansion of x in x 1.138 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.138 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.138 * [taylor]: Taking taylor expansion of y in x 1.138 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.138 * [taylor]: Taking taylor expansion of y in x 1.141 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.142 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.142 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.142 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.142 * [taylor]: Taking taylor expansion of x in x 1.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.142 * [taylor]: Taking taylor expansion of x in x 1.142 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.142 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.142 * [taylor]: Taking taylor expansion of y in x 1.143 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.143 * [taylor]: Taking taylor expansion of y in x 1.150 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.150 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.150 * [taylor]: Taking taylor expansion of z in x 1.150 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.150 * [taylor]: Taking taylor expansion of z in x 1.152 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 1.153 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.153 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 1.153 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.153 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.153 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.153 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.153 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.154 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.154 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.154 * [taylor]: Taking taylor expansion of y in x 1.154 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.154 * [taylor]: Taking taylor expansion of y in x 1.156 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.157 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.157 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.157 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.157 * [taylor]: Taking taylor expansion of x in x 1.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.157 * [taylor]: Taking taylor expansion of x in x 1.157 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.158 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.158 * [taylor]: Taking taylor expansion of y in x 1.158 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.158 * [taylor]: Taking taylor expansion of y in x 1.160 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.160 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.160 * [taylor]: Taking taylor expansion of z in x 1.161 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.161 * [taylor]: Taking taylor expansion of z in x 1.163 * [taylor]: Taking taylor expansion of 1 in y 1.163 * [taylor]: Taking taylor expansion of 0 in y 1.163 * [taylor]: Taking taylor expansion of 1 in z 1.170 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.170 * [taylor]: Taking taylor expansion of 1/2 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 1.173 * [taylor]: Taking taylor expansion of 0 in z 1.173 * [taylor]: Taking taylor expansion of 0 in z 1.173 * [taylor]: Taking taylor expansion of 0 in z 1.180 * [taylor]: Taking taylor expansion of 0 in y 1.182 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.182 * [taylor]: Taking taylor expansion of 1/2 in z 1.182 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.182 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.182 * [taylor]: Taking taylor expansion of z in z 1.184 * [taylor]: Taking taylor expansion of 0 in z 1.184 * [taylor]: Taking taylor expansion of 0 in z 1.194 * [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 1.194 * [taylor]: Taking taylor expansion of -1/2 in y 1.194 * [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 1.194 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.194 * [taylor]: Taking taylor expansion of 1/4 in y 1.194 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.194 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.194 * [taylor]: Taking taylor expansion of z in y 1.195 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.195 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.195 * [taylor]: Taking taylor expansion of 1/2 in y 1.195 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.195 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.195 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.195 * [taylor]: Taking taylor expansion of z in y 1.195 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.195 * [taylor]: Taking taylor expansion of y in y 1.195 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.195 * [taylor]: Taking taylor expansion of 1/4 in y 1.195 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.195 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.195 * [taylor]: Taking taylor expansion of y in y 1.207 * [taylor]: Taking taylor expansion of 0 in z 1.207 * [taylor]: Taking taylor expansion of 0 in z 1.209 * [taylor]: Taking taylor expansion of 0 in z 1.210 * [taylor]: Taking taylor expansion of 0 in z 1.210 * [taylor]: Taking taylor expansion of 0 in z 1.212 * [approximate]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in (x y z) around 0 1.212 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in z 1.212 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.212 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in z 1.212 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z 1.212 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 1.212 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.212 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 1.212 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 1.212 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.212 * [taylor]: Taking taylor expansion of -1 in z 1.212 * [taylor]: Taking taylor expansion of x in z 1.212 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.212 * [taylor]: Taking taylor expansion of -1 in z 1.212 * [taylor]: Taking taylor expansion of x in z 1.212 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 1.212 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.212 * [taylor]: Taking taylor expansion of -1 in z 1.212 * [taylor]: Taking taylor expansion of y in z 1.212 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.212 * [taylor]: Taking taylor expansion of -1 in z 1.212 * [taylor]: Taking taylor expansion of y in z 1.214 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 1.214 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.214 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 1.214 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 1.214 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.214 * [taylor]: Taking taylor expansion of -1 in z 1.214 * [taylor]: Taking taylor expansion of x in z 1.214 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.214 * [taylor]: Taking taylor expansion of -1 in z 1.214 * [taylor]: Taking taylor expansion of x in z 1.214 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 1.214 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.214 * [taylor]: Taking taylor expansion of -1 in z 1.214 * [taylor]: Taking taylor expansion of y in z 1.214 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.214 * [taylor]: Taking taylor expansion of -1 in z 1.214 * [taylor]: Taking taylor expansion of y in z 1.216 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 1.216 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.216 * [taylor]: Taking taylor expansion of -1 in z 1.216 * [taylor]: Taking taylor expansion of z in z 1.216 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.216 * [taylor]: Taking taylor expansion of -1 in z 1.216 * [taylor]: Taking taylor expansion of z in z 1.220 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y 1.220 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.220 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y 1.220 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y 1.220 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.220 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.220 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.220 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.220 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.220 * [taylor]: Taking taylor expansion of -1 in y 1.220 * [taylor]: Taking taylor expansion of x in y 1.220 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.220 * [taylor]: Taking taylor expansion of -1 in y 1.220 * [taylor]: Taking taylor expansion of x in y 1.220 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.220 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.220 * [taylor]: Taking taylor expansion of -1 in y 1.220 * [taylor]: Taking taylor expansion of y in y 1.221 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.221 * [taylor]: Taking taylor expansion of -1 in y 1.221 * [taylor]: Taking taylor expansion of y in y 1.224 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.224 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.224 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.224 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.224 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.224 * [taylor]: Taking taylor expansion of -1 in y 1.224 * [taylor]: Taking taylor expansion of x in y 1.224 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.224 * [taylor]: Taking taylor expansion of -1 in y 1.224 * [taylor]: Taking taylor expansion of x in y 1.224 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.224 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.224 * [taylor]: Taking taylor expansion of -1 in y 1.224 * [taylor]: Taking taylor expansion of y in y 1.225 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.225 * [taylor]: Taking taylor expansion of -1 in y 1.225 * [taylor]: Taking taylor expansion of y in y 1.228 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 1.228 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.228 * [taylor]: Taking taylor expansion of -1 in y 1.228 * [taylor]: Taking taylor expansion of z in y 1.228 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.228 * [taylor]: Taking taylor expansion of -1 in y 1.228 * [taylor]: Taking taylor expansion of z in y 1.230 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 1.230 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.230 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 1.230 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 1.231 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.231 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.231 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.231 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.231 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.231 * [taylor]: Taking taylor expansion of -1 in x 1.231 * [taylor]: Taking taylor expansion of x in x 1.231 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.231 * [taylor]: Taking taylor expansion of -1 in x 1.231 * [taylor]: Taking taylor expansion of x in x 1.231 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.231 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.231 * [taylor]: Taking taylor expansion of -1 in x 1.231 * [taylor]: Taking taylor expansion of y in x 1.232 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.232 * [taylor]: Taking taylor expansion of -1 in x 1.232 * [taylor]: Taking taylor expansion of y in x 1.235 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.235 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.235 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.235 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.235 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.235 * [taylor]: Taking taylor expansion of -1 in x 1.235 * [taylor]: Taking taylor expansion of x in x 1.235 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.235 * [taylor]: Taking taylor expansion of -1 in x 1.235 * [taylor]: Taking taylor expansion of x in x 1.236 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.236 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.236 * [taylor]: Taking taylor expansion of -1 in x 1.236 * [taylor]: Taking taylor expansion of y in x 1.236 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.236 * [taylor]: Taking taylor expansion of -1 in x 1.236 * [taylor]: Taking taylor expansion of y in x 1.239 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 1.239 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.239 * [taylor]: Taking taylor expansion of -1 in x 1.239 * [taylor]: Taking taylor expansion of z in x 1.239 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.239 * [taylor]: Taking taylor expansion of -1 in x 1.239 * [taylor]: Taking taylor expansion of z in x 1.241 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 1.241 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.241 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 1.241 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 1.241 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.241 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.241 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.241 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.241 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.241 * [taylor]: Taking taylor expansion of -1 in x 1.242 * [taylor]: Taking taylor expansion of x in x 1.242 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.242 * [taylor]: Taking taylor expansion of -1 in x 1.242 * [taylor]: Taking taylor expansion of x in x 1.242 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.242 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.242 * [taylor]: Taking taylor expansion of -1 in x 1.242 * [taylor]: Taking taylor expansion of y in x 1.242 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.242 * [taylor]: Taking taylor expansion of -1 in x 1.242 * [taylor]: Taking taylor expansion of y in x 1.251 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.252 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.252 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.252 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.252 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.252 * [taylor]: Taking taylor expansion of -1 in x 1.252 * [taylor]: Taking taylor expansion of x in x 1.252 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.252 * [taylor]: Taking taylor expansion of -1 in x 1.252 * [taylor]: Taking taylor expansion of x in x 1.253 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.253 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.253 * [taylor]: Taking taylor expansion of -1 in x 1.253 * [taylor]: Taking taylor expansion of y in x 1.253 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.253 * [taylor]: Taking taylor expansion of -1 in x 1.253 * [taylor]: Taking taylor expansion of y in x 1.256 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 1.256 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.256 * [taylor]: Taking taylor expansion of -1 in x 1.256 * [taylor]: Taking taylor expansion of z in x 1.256 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.256 * [taylor]: Taking taylor expansion of -1 in x 1.256 * [taylor]: Taking taylor expansion of z in x 1.258 * [taylor]: Taking taylor expansion of 1 in y 1.258 * [taylor]: Taking taylor expansion of 0 in y 1.258 * [taylor]: Taking taylor expansion of 1 in z 1.266 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.266 * [taylor]: Taking taylor expansion of 1/2 in y 1.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.266 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.266 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.266 * [taylor]: Taking taylor expansion of z in y 1.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.266 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.266 * [taylor]: Taking taylor expansion of y in y 1.269 * [taylor]: Taking taylor expansion of 0 in z 1.269 * [taylor]: Taking taylor expansion of 0 in z 1.269 * [taylor]: Taking taylor expansion of 0 in z 1.276 * [taylor]: Taking taylor expansion of 0 in y 1.278 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.278 * [taylor]: Taking taylor expansion of 1/2 in z 1.278 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.278 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.278 * [taylor]: Taking taylor expansion of z in z 1.280 * [taylor]: Taking taylor expansion of 0 in z 1.280 * [taylor]: Taking taylor expansion of 0 in z 1.290 * [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 1.290 * [taylor]: Taking taylor expansion of -1/2 in y 1.290 * [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 1.290 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.290 * [taylor]: Taking taylor expansion of 1/4 in y 1.290 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.290 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.290 * [taylor]: Taking taylor expansion of z in y 1.291 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.291 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.291 * [taylor]: Taking taylor expansion of 1/2 in y 1.291 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.291 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.291 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.291 * [taylor]: Taking taylor expansion of z in y 1.291 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.291 * [taylor]: Taking taylor expansion of y in y 1.292 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.292 * [taylor]: Taking taylor expansion of 1/4 in y 1.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.292 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.292 * [taylor]: Taking taylor expansion of y in y 1.303 * [taylor]: Taking taylor expansion of 0 in z 1.303 * [taylor]: Taking taylor expansion of 0 in z 1.306 * [taylor]: Taking taylor expansion of 0 in z 1.306 * [taylor]: Taking taylor expansion of 0 in z 1.306 * [taylor]: Taking taylor expansion of 0 in z 1.308 * * * [progress]: simplifying candidates 1.308 * [simplify]: Simplifying using # : (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 x (* -1 x) 1.312 * * [simplify]: iteration 0 : 36 enodes (cost 55 ) 1.315 * * [simplify]: iteration 1 : 47 enodes (cost 46 ) 1.318 * * [simplify]: iteration 2 : 63 enodes (cost 46 ) 1.321 * * [simplify]: iteration 3 : 116 enodes (cost 46 ) 1.326 * * [simplify]: iteration 4 : 341 enodes (cost 46 ) 1.343 * * [simplify]: iteration 5 : 1395 enodes (cost 46 ) 1.436 * * [simplify]: iteration 6 : 5001 enodes (cost 46 ) 1.437 * [simplify]: Simplified to: (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 x (* -1 x) 1.437 * * * [progress]: adding candidates to table 1.481 * * [progress]: iteration 4 / 4 1.481 * * * [progress]: picking best candidate 1.484 * * * * [pick]: Picked # 1.484 * * * [progress]: localizing error 1.493 * * * [progress]: generating rewritten candidates 1.493 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.501 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 1.501 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 1.504 * * * [progress]: generating series expansions 1.504 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.504 * [approximate]: Taking taylor expansion of (hypot (hypot x y) z) in (x y z) around 0 1.504 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in z 1.504 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.504 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in z 1.505 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z 1.505 * [taylor]: Taking taylor expansion of (hypot x y) in z 1.505 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.505 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 1.505 * [taylor]: Taking taylor expansion of (* x x) in z 1.505 * [taylor]: Taking taylor expansion of x in z 1.505 * [taylor]: Taking taylor expansion of x in z 1.505 * [taylor]: Taking taylor expansion of (* y y) in z 1.505 * [taylor]: Taking taylor expansion of y in z 1.505 * [taylor]: Taking taylor expansion of y in z 1.506 * [taylor]: Taking taylor expansion of (hypot x y) in z 1.506 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.506 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 1.506 * [taylor]: Taking taylor expansion of (* x x) in z 1.506 * [taylor]: Taking taylor expansion of x in z 1.506 * [taylor]: Taking taylor expansion of x in z 1.506 * [taylor]: Taking taylor expansion of (* y y) in z 1.506 * [taylor]: Taking taylor expansion of y in z 1.506 * [taylor]: Taking taylor expansion of y in z 1.507 * [taylor]: Taking taylor expansion of (* z z) in z 1.507 * [taylor]: Taking taylor expansion of z in z 1.507 * [taylor]: Taking taylor expansion of z in z 1.509 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in y 1.510 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.510 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in y 1.510 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y 1.510 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.510 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.510 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.510 * [taylor]: Taking taylor expansion of (* x x) in y 1.510 * [taylor]: Taking taylor expansion of x in y 1.510 * [taylor]: Taking taylor expansion of x in y 1.510 * [taylor]: Taking taylor expansion of (* y y) in y 1.510 * [taylor]: Taking taylor expansion of y in y 1.510 * [taylor]: Taking taylor expansion of y in y 1.511 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.511 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.511 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.511 * [taylor]: Taking taylor expansion of (* x x) in y 1.511 * [taylor]: Taking taylor expansion of x in y 1.511 * [taylor]: Taking taylor expansion of x in y 1.511 * [taylor]: Taking taylor expansion of (* y y) in y 1.511 * [taylor]: Taking taylor expansion of y in y 1.511 * [taylor]: Taking taylor expansion of y in y 1.513 * [taylor]: Taking taylor expansion of (* z z) in y 1.513 * [taylor]: Taking taylor expansion of z in y 1.513 * [taylor]: Taking taylor expansion of z in y 1.514 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 1.514 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.514 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 1.514 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 1.514 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.514 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.514 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.514 * [taylor]: Taking taylor expansion of (* x x) in x 1.514 * [taylor]: Taking taylor expansion of x in x 1.514 * [taylor]: Taking taylor expansion of x in x 1.514 * [taylor]: Taking taylor expansion of (* y y) in x 1.514 * [taylor]: Taking taylor expansion of y in x 1.514 * [taylor]: Taking taylor expansion of y in x 1.515 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.516 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.516 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.516 * [taylor]: Taking taylor expansion of (* x x) in x 1.516 * [taylor]: Taking taylor expansion of x in x 1.516 * [taylor]: Taking taylor expansion of x in x 1.516 * [taylor]: Taking taylor expansion of (* y y) in x 1.516 * [taylor]: Taking taylor expansion of y in x 1.516 * [taylor]: Taking taylor expansion of y in x 1.517 * [taylor]: Taking taylor expansion of (* z z) in x 1.517 * [taylor]: Taking taylor expansion of z in x 1.517 * [taylor]: Taking taylor expansion of z in x 1.518 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 1.518 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.518 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 1.518 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 1.518 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.518 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.518 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.518 * [taylor]: Taking taylor expansion of (* x x) in x 1.518 * [taylor]: Taking taylor expansion of x in x 1.518 * [taylor]: Taking taylor expansion of x in x 1.518 * [taylor]: Taking taylor expansion of (* y y) in x 1.518 * [taylor]: Taking taylor expansion of y in x 1.518 * [taylor]: Taking taylor expansion of y in x 1.519 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.520 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.520 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.520 * [taylor]: Taking taylor expansion of (* x x) in x 1.520 * [taylor]: Taking taylor expansion of x in x 1.520 * [taylor]: Taking taylor expansion of x in x 1.520 * [taylor]: Taking taylor expansion of (* y y) in x 1.520 * [taylor]: Taking taylor expansion of y in x 1.520 * [taylor]: Taking taylor expansion of y in x 1.521 * [taylor]: Taking taylor expansion of (* z z) in x 1.521 * [taylor]: Taking taylor expansion of z in x 1.521 * [taylor]: Taking taylor expansion of z in x 1.522 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 1.522 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.522 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.522 * [taylor]: Taking taylor expansion of y in y 1.522 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.522 * [taylor]: Taking taylor expansion of z in y 1.523 * [taylor]: Taking taylor expansion of z in z 1.523 * [taylor]: Taking taylor expansion of 0 in y 1.523 * [taylor]: Taking taylor expansion of 0 in z 1.523 * [taylor]: Taking taylor expansion of 0 in z 1.528 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 1.528 * [taylor]: Taking taylor expansion of 1/2 in y 1.528 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 1.528 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 1.528 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.528 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.528 * [taylor]: Taking taylor expansion of y in y 1.528 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.528 * [taylor]: Taking taylor expansion of z in y 1.529 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.529 * [taylor]: Taking taylor expansion of 1/2 in z 1.529 * [taylor]: Taking taylor expansion of z in z 1.530 * [taylor]: Taking taylor expansion of 0 in z 1.531 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.531 * [taylor]: Taking taylor expansion of 1/2 in z 1.531 * [taylor]: Taking taylor expansion of z in z 1.533 * [approximate]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in (x y z) around 0 1.533 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in z 1.533 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.533 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in z 1.533 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z 1.533 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 1.533 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.533 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 1.533 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 1.533 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.533 * [taylor]: Taking taylor expansion of x in z 1.533 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.533 * [taylor]: Taking taylor expansion of x in z 1.533 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 1.533 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.533 * [taylor]: Taking taylor expansion of y in z 1.533 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.533 * [taylor]: Taking taylor expansion of y in z 1.535 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 1.535 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.535 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 1.535 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 1.535 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.535 * [taylor]: Taking taylor expansion of x in z 1.535 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.535 * [taylor]: Taking taylor expansion of x in z 1.535 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 1.535 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.535 * [taylor]: Taking taylor expansion of y in z 1.535 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.535 * [taylor]: Taking taylor expansion of y in z 1.537 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 1.537 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.537 * [taylor]: Taking taylor expansion of z in z 1.537 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.537 * [taylor]: Taking taylor expansion of z in z 1.540 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y 1.540 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.540 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y 1.540 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 1.540 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.540 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.541 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.541 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.541 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.541 * [taylor]: Taking taylor expansion of x in y 1.541 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.541 * [taylor]: Taking taylor expansion of x in y 1.541 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.541 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.541 * [taylor]: Taking taylor expansion of y in y 1.541 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.541 * [taylor]: Taking taylor expansion of y in y 1.544 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.544 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.544 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.544 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.544 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.544 * [taylor]: Taking taylor expansion of x in y 1.544 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.544 * [taylor]: Taking taylor expansion of x in y 1.545 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.545 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.545 * [taylor]: Taking taylor expansion of y in y 1.545 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.545 * [taylor]: Taking taylor expansion of y in y 1.548 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 1.549 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.549 * [taylor]: Taking taylor expansion of z in y 1.549 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.549 * [taylor]: Taking taylor expansion of z in y 1.551 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 1.551 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.551 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 1.551 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.551 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.551 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.551 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.551 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.551 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.551 * [taylor]: Taking taylor expansion of x in x 1.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.556 * [taylor]: Taking taylor expansion of x in x 1.557 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.557 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.557 * [taylor]: Taking taylor expansion of y in x 1.557 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.557 * [taylor]: Taking taylor expansion of y in x 1.560 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.560 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.560 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.560 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.560 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.560 * [taylor]: Taking taylor expansion of x in x 1.561 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.561 * [taylor]: Taking taylor expansion of x in x 1.561 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.561 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.561 * [taylor]: Taking taylor expansion of y in x 1.561 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.561 * [taylor]: Taking taylor expansion of y in x 1.564 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.564 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.564 * [taylor]: Taking taylor expansion of z in x 1.564 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.564 * [taylor]: Taking taylor expansion of z in x 1.566 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 1.566 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.566 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 1.566 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.566 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.566 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.566 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.566 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.566 * [taylor]: Taking taylor expansion of x in x 1.567 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.567 * [taylor]: Taking taylor expansion of x in x 1.567 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.567 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.567 * [taylor]: Taking taylor expansion of y in x 1.567 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.567 * [taylor]: Taking taylor expansion of y in x 1.570 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.570 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.570 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.570 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.570 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.570 * [taylor]: Taking taylor expansion of x in x 1.570 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.571 * [taylor]: Taking taylor expansion of x in x 1.571 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.571 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.571 * [taylor]: Taking taylor expansion of y in x 1.571 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.571 * [taylor]: Taking taylor expansion of y in x 1.574 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.574 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.574 * [taylor]: Taking taylor expansion of z in x 1.574 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.574 * [taylor]: Taking taylor expansion of z in x 1.576 * [taylor]: Taking taylor expansion of 1 in y 1.576 * [taylor]: Taking taylor expansion of 0 in y 1.576 * [taylor]: Taking taylor expansion of 1 in z 1.583 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.583 * [taylor]: Taking taylor expansion of 1/2 in y 1.583 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.583 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.584 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.584 * [taylor]: Taking taylor expansion of z in y 1.584 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.584 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.584 * [taylor]: Taking taylor expansion of y in y 1.586 * [taylor]: Taking taylor expansion of 0 in z 1.586 * [taylor]: Taking taylor expansion of 0 in z 1.586 * [taylor]: Taking taylor expansion of 0 in z 1.593 * [taylor]: Taking taylor expansion of 0 in y 1.595 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.595 * [taylor]: Taking taylor expansion of 1/2 in z 1.595 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.595 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.595 * [taylor]: Taking taylor expansion of z in z 1.597 * [taylor]: Taking taylor expansion of 0 in z 1.598 * [taylor]: Taking taylor expansion of 0 in z 1.608 * [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 1.608 * [taylor]: Taking taylor expansion of -1/2 in y 1.608 * [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 1.608 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.608 * [taylor]: Taking taylor expansion of 1/4 in y 1.608 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.608 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.608 * [taylor]: Taking taylor expansion of z in y 1.609 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.609 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.609 * [taylor]: Taking taylor expansion of 1/2 in y 1.609 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.609 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.609 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.609 * [taylor]: Taking taylor expansion of z in y 1.609 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.609 * [taylor]: Taking taylor expansion of y in y 1.609 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.610 * [taylor]: Taking taylor expansion of 1/4 in y 1.610 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.610 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.610 * [taylor]: Taking taylor expansion of y in y 1.622 * [taylor]: Taking taylor expansion of 0 in z 1.622 * [taylor]: Taking taylor expansion of 0 in z 1.625 * [taylor]: Taking taylor expansion of 0 in z 1.625 * [taylor]: Taking taylor expansion of 0 in z 1.625 * [taylor]: Taking taylor expansion of 0 in z 1.627 * [approximate]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in (x y z) around 0 1.627 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in z 1.628 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.628 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in z 1.628 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z 1.628 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 1.628 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.628 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 1.628 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 1.628 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.628 * [taylor]: Taking taylor expansion of -1 in z 1.628 * [taylor]: Taking taylor expansion of x in z 1.628 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.628 * [taylor]: Taking taylor expansion of -1 in z 1.628 * [taylor]: Taking taylor expansion of x in z 1.628 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 1.628 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.628 * [taylor]: Taking taylor expansion of -1 in z 1.628 * [taylor]: Taking taylor expansion of y in z 1.628 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.628 * [taylor]: Taking taylor expansion of -1 in z 1.628 * [taylor]: Taking taylor expansion of y in z 1.630 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 1.630 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.630 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 1.630 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 1.630 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.630 * [taylor]: Taking taylor expansion of -1 in z 1.630 * [taylor]: Taking taylor expansion of x in z 1.630 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.630 * [taylor]: Taking taylor expansion of -1 in z 1.630 * [taylor]: Taking taylor expansion of x in z 1.630 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 1.630 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.630 * [taylor]: Taking taylor expansion of -1 in z 1.630 * [taylor]: Taking taylor expansion of y in z 1.630 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.630 * [taylor]: Taking taylor expansion of -1 in z 1.630 * [taylor]: Taking taylor expansion of y in z 1.632 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 1.632 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.632 * [taylor]: Taking taylor expansion of -1 in z 1.632 * [taylor]: Taking taylor expansion of z in z 1.632 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.632 * [taylor]: Taking taylor expansion of -1 in z 1.632 * [taylor]: Taking taylor expansion of z in z 1.635 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y 1.636 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.636 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y 1.636 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y 1.636 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.636 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.636 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.636 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.636 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.636 * [taylor]: Taking taylor expansion of -1 in y 1.636 * [taylor]: Taking taylor expansion of x in y 1.636 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.636 * [taylor]: Taking taylor expansion of -1 in y 1.636 * [taylor]: Taking taylor expansion of x in y 1.636 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.636 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.636 * [taylor]: Taking taylor expansion of -1 in y 1.636 * [taylor]: Taking taylor expansion of y in y 1.637 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.637 * [taylor]: Taking taylor expansion of -1 in y 1.637 * [taylor]: Taking taylor expansion of y in y 1.640 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.640 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.640 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.640 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.640 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.640 * [taylor]: Taking taylor expansion of -1 in y 1.640 * [taylor]: Taking taylor expansion of x in y 1.640 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.640 * [taylor]: Taking taylor expansion of -1 in y 1.640 * [taylor]: Taking taylor expansion of x in y 1.640 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.640 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.640 * [taylor]: Taking taylor expansion of -1 in y 1.640 * [taylor]: Taking taylor expansion of y in y 1.641 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.641 * [taylor]: Taking taylor expansion of -1 in y 1.641 * [taylor]: Taking taylor expansion of y in y 1.644 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 1.644 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.644 * [taylor]: Taking taylor expansion of -1 in y 1.644 * [taylor]: Taking taylor expansion of z in y 1.644 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.644 * [taylor]: Taking taylor expansion of -1 in y 1.644 * [taylor]: Taking taylor expansion of z in y 1.646 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 1.646 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.646 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 1.646 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 1.646 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.646 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.646 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.647 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.647 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.647 * [taylor]: Taking taylor expansion of -1 in x 1.647 * [taylor]: Taking taylor expansion of x in x 1.647 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.647 * [taylor]: Taking taylor expansion of -1 in x 1.647 * [taylor]: Taking taylor expansion of x in x 1.648 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.648 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.648 * [taylor]: Taking taylor expansion of -1 in x 1.648 * [taylor]: Taking taylor expansion of y in x 1.648 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.648 * [taylor]: Taking taylor expansion of -1 in x 1.648 * [taylor]: Taking taylor expansion of y in x 1.651 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.651 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.651 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.651 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.651 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.651 * [taylor]: Taking taylor expansion of -1 in x 1.651 * [taylor]: Taking taylor expansion of x in x 1.651 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.652 * [taylor]: Taking taylor expansion of -1 in x 1.652 * [taylor]: Taking taylor expansion of x in x 1.652 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.652 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.652 * [taylor]: Taking taylor expansion of -1 in x 1.652 * [taylor]: Taking taylor expansion of y in x 1.652 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.652 * [taylor]: Taking taylor expansion of -1 in x 1.652 * [taylor]: Taking taylor expansion of y in x 1.661 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 1.662 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.662 * [taylor]: Taking taylor expansion of -1 in x 1.662 * [taylor]: Taking taylor expansion of z in x 1.662 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.662 * [taylor]: Taking taylor expansion of -1 in x 1.662 * [taylor]: Taking taylor expansion of z in x 1.664 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 1.664 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.664 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 1.664 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 1.664 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.664 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.664 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.664 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.664 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.664 * [taylor]: Taking taylor expansion of -1 in x 1.664 * [taylor]: Taking taylor expansion of x in x 1.665 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.665 * [taylor]: Taking taylor expansion of -1 in x 1.665 * [taylor]: Taking taylor expansion of x in x 1.665 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.665 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.665 * [taylor]: Taking taylor expansion of -1 in x 1.665 * [taylor]: Taking taylor expansion of y in x 1.665 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.665 * [taylor]: Taking taylor expansion of -1 in x 1.665 * [taylor]: Taking taylor expansion of y in x 1.668 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.668 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.668 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.668 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.669 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.669 * [taylor]: Taking taylor expansion of -1 in x 1.669 * [taylor]: Taking taylor expansion of x in x 1.669 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.669 * [taylor]: Taking taylor expansion of -1 in x 1.669 * [taylor]: Taking taylor expansion of x in x 1.669 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.669 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.669 * [taylor]: Taking taylor expansion of -1 in x 1.669 * [taylor]: Taking taylor expansion of y in x 1.669 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.669 * [taylor]: Taking taylor expansion of -1 in x 1.669 * [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 -1 in x 1.672 * [taylor]: Taking taylor expansion of z in x 1.672 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.673 * [taylor]: Taking taylor expansion of -1 in x 1.673 * [taylor]: Taking taylor expansion of z in x 1.675 * [taylor]: Taking taylor expansion of 1 in y 1.675 * [taylor]: Taking taylor expansion of 0 in y 1.675 * [taylor]: Taking taylor expansion of 1 in z 1.682 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.682 * [taylor]: Taking taylor expansion of 1/2 in y 1.682 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.682 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.682 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.682 * [taylor]: Taking taylor expansion of z in y 1.683 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.683 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.683 * [taylor]: Taking taylor expansion of y in y 1.685 * [taylor]: Taking taylor expansion of 0 in z 1.685 * [taylor]: Taking taylor expansion of 0 in z 1.685 * [taylor]: Taking taylor expansion of 0 in z 1.692 * [taylor]: Taking taylor expansion of 0 in y 1.694 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.694 * [taylor]: Taking taylor expansion of 1/2 in z 1.694 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.694 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.694 * [taylor]: Taking taylor expansion of z in z 1.696 * [taylor]: Taking taylor expansion of 0 in z 1.696 * [taylor]: Taking taylor expansion of 0 in z 1.707 * [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 1.707 * [taylor]: Taking taylor expansion of -1/2 in y 1.707 * [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 1.707 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.707 * [taylor]: Taking taylor expansion of 1/4 in y 1.707 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.707 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.707 * [taylor]: Taking taylor expansion of z in y 1.708 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.708 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.708 * [taylor]: Taking taylor expansion of 1/2 in y 1.708 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.708 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.708 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.708 * [taylor]: Taking taylor expansion of z in y 1.708 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.708 * [taylor]: Taking taylor expansion of y in y 1.708 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.708 * [taylor]: Taking taylor expansion of 1/4 in y 1.708 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.708 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.708 * [taylor]: Taking taylor expansion of y in y 1.720 * [taylor]: Taking taylor expansion of 0 in z 1.720 * [taylor]: Taking taylor expansion of 0 in z 1.723 * [taylor]: Taking taylor expansion of 0 in z 1.723 * [taylor]: Taking taylor expansion of 0 in z 1.723 * [taylor]: Taking taylor expansion of 0 in z 1.725 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 1.725 * [approximate]: Taking taylor expansion of (hypot (hypot x y) z) in (x y z) around 0 1.725 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in z 1.725 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.725 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in z 1.725 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z 1.725 * [taylor]: Taking taylor expansion of (hypot x y) in z 1.725 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.725 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 1.726 * [taylor]: Taking taylor expansion of (* x x) in z 1.726 * [taylor]: Taking taylor expansion of x in z 1.726 * [taylor]: Taking taylor expansion of x in z 1.726 * [taylor]: Taking taylor expansion of (* y y) in z 1.726 * [taylor]: Taking taylor expansion of y in z 1.726 * [taylor]: Taking taylor expansion of y in z 1.727 * [taylor]: Taking taylor expansion of (hypot x y) in z 1.727 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.727 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 1.727 * [taylor]: Taking taylor expansion of (* x x) in z 1.727 * [taylor]: Taking taylor expansion of x in z 1.727 * [taylor]: Taking taylor expansion of x in z 1.727 * [taylor]: Taking taylor expansion of (* y y) in z 1.727 * [taylor]: Taking taylor expansion of y in z 1.727 * [taylor]: Taking taylor expansion of y in z 1.728 * [taylor]: Taking taylor expansion of (* z z) in z 1.728 * [taylor]: Taking taylor expansion of z in z 1.728 * [taylor]: Taking taylor expansion of z in z 1.730 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in y 1.730 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.730 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in y 1.730 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y 1.730 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.731 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.731 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.731 * [taylor]: Taking taylor expansion of (* x x) in y 1.731 * [taylor]: Taking taylor expansion of x in y 1.731 * [taylor]: Taking taylor expansion of x in y 1.731 * [taylor]: Taking taylor expansion of (* y y) in y 1.731 * [taylor]: Taking taylor expansion of y in y 1.731 * [taylor]: Taking taylor expansion of y in y 1.732 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.732 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.732 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.732 * [taylor]: Taking taylor expansion of (* x x) in y 1.732 * [taylor]: Taking taylor expansion of x in y 1.732 * [taylor]: Taking taylor expansion of x in y 1.732 * [taylor]: Taking taylor expansion of (* y y) in y 1.732 * [taylor]: Taking taylor expansion of y in y 1.732 * [taylor]: Taking taylor expansion of y in y 1.734 * [taylor]: Taking taylor expansion of (* z z) in y 1.734 * [taylor]: Taking taylor expansion of z in y 1.734 * [taylor]: Taking taylor expansion of z in y 1.735 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 1.735 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.735 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 1.735 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 1.735 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.735 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.735 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.735 * [taylor]: Taking taylor expansion of (* x x) in x 1.735 * [taylor]: Taking taylor expansion of x in x 1.735 * [taylor]: Taking taylor expansion of x in x 1.735 * [taylor]: Taking taylor expansion of (* y y) in x 1.735 * [taylor]: Taking taylor expansion of y in x 1.735 * [taylor]: Taking taylor expansion of y in x 1.737 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.737 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.737 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.737 * [taylor]: Taking taylor expansion of (* x x) in x 1.737 * [taylor]: Taking taylor expansion of x in x 1.737 * [taylor]: Taking taylor expansion of x in x 1.737 * [taylor]: Taking taylor expansion of (* y y) in x 1.737 * [taylor]: Taking taylor expansion of y in x 1.737 * [taylor]: Taking taylor expansion of y in x 1.738 * [taylor]: Taking taylor expansion of (* z z) in x 1.738 * [taylor]: Taking taylor expansion of z in x 1.738 * [taylor]: Taking taylor expansion of z in x 1.739 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 1.739 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.739 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 1.739 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 1.739 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.739 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.739 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.739 * [taylor]: Taking taylor expansion of (* x x) in x 1.739 * [taylor]: Taking taylor expansion of x in x 1.740 * [taylor]: Taking taylor expansion of x in x 1.740 * [taylor]: Taking taylor expansion of (* y y) in x 1.740 * [taylor]: Taking taylor expansion of y in x 1.740 * [taylor]: Taking taylor expansion of y in x 1.741 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.741 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.741 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.741 * [taylor]: Taking taylor expansion of (* x x) in x 1.741 * [taylor]: Taking taylor expansion of x in x 1.741 * [taylor]: Taking taylor expansion of x in x 1.741 * [taylor]: Taking taylor expansion of (* y y) in x 1.741 * [taylor]: Taking taylor expansion of y in x 1.741 * [taylor]: Taking taylor expansion of y in x 1.742 * [taylor]: Taking taylor expansion of (* z z) in x 1.742 * [taylor]: Taking taylor expansion of z in x 1.742 * [taylor]: Taking taylor expansion of z in x 1.743 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 1.743 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.743 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.743 * [taylor]: Taking taylor expansion of y in y 1.743 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.743 * [taylor]: Taking taylor expansion of z in y 1.744 * [taylor]: Taking taylor expansion of z in z 1.744 * [taylor]: Taking taylor expansion of 0 in y 1.744 * [taylor]: Taking taylor expansion of 0 in z 1.744 * [taylor]: Taking taylor expansion of 0 in z 1.749 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 1.749 * [taylor]: Taking taylor expansion of 1/2 in y 1.749 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 1.749 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 1.749 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.750 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.750 * [taylor]: Taking taylor expansion of y in y 1.750 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.750 * [taylor]: Taking taylor expansion of z in y 1.751 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.751 * [taylor]: Taking taylor expansion of 1/2 in z 1.751 * [taylor]: Taking taylor expansion of z in z 1.752 * [taylor]: Taking taylor expansion of 0 in z 1.753 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.753 * [taylor]: Taking taylor expansion of 1/2 in z 1.753 * [taylor]: Taking taylor expansion of z in z 1.754 * [approximate]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in (x y z) around 0 1.754 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in z 1.755 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.755 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in z 1.755 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z 1.755 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 1.755 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.755 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 1.755 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 1.755 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.755 * [taylor]: Taking taylor expansion of x in z 1.755 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.755 * [taylor]: Taking taylor expansion of x in z 1.755 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 1.755 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.755 * [taylor]: Taking taylor expansion of y in z 1.755 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.755 * [taylor]: Taking taylor expansion of y in z 1.756 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 1.756 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.756 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 1.757 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 1.757 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.757 * [taylor]: Taking taylor expansion of x in z 1.757 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.757 * [taylor]: Taking taylor expansion of x in z 1.757 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 1.757 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.757 * [taylor]: Taking taylor expansion of y in z 1.757 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.757 * [taylor]: Taking taylor expansion of y in z 1.758 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 1.758 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.758 * [taylor]: Taking taylor expansion of z in z 1.759 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.759 * [taylor]: Taking taylor expansion of z in z 1.769 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y 1.769 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.769 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y 1.769 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 1.769 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.769 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.769 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.769 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.769 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.769 * [taylor]: Taking taylor expansion of x in y 1.769 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.769 * [taylor]: Taking taylor expansion of x in y 1.769 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.769 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.769 * [taylor]: Taking taylor expansion of y in y 1.770 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.770 * [taylor]: Taking taylor expansion of y in y 1.773 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.773 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.773 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.773 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.773 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.773 * [taylor]: Taking taylor expansion of x in y 1.773 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.773 * [taylor]: Taking taylor expansion of x in y 1.773 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.773 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.773 * [taylor]: Taking taylor expansion of y in y 1.774 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.774 * [taylor]: Taking taylor expansion of y in y 1.777 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 1.777 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.777 * [taylor]: Taking taylor expansion of z in y 1.777 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.777 * [taylor]: Taking taylor expansion of z in y 1.779 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 1.779 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.779 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 1.779 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.779 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.779 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.779 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.779 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.779 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.779 * [taylor]: Taking taylor expansion of x in x 1.780 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.780 * [taylor]: Taking taylor expansion of x in x 1.780 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.780 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.780 * [taylor]: Taking taylor expansion of y in x 1.780 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.780 * [taylor]: Taking taylor expansion of y in x 1.783 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.783 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.783 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.783 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.783 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.783 * [taylor]: Taking taylor expansion of x in x 1.783 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.783 * [taylor]: Taking taylor expansion of x in x 1.784 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.784 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.784 * [taylor]: Taking taylor expansion of y in x 1.784 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.784 * [taylor]: Taking taylor expansion of y in x 1.787 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.787 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.787 * [taylor]: Taking taylor expansion of z in x 1.787 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.787 * [taylor]: Taking taylor expansion of z in x 1.789 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 1.789 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.789 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 1.789 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.789 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.789 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.789 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.789 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.789 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.789 * [taylor]: Taking taylor expansion of x in x 1.790 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.790 * [taylor]: Taking taylor expansion of x in x 1.790 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.790 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.790 * [taylor]: Taking taylor expansion of y in x 1.790 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.790 * [taylor]: Taking taylor expansion of y in x 1.793 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.793 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.793 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.793 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.793 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.793 * [taylor]: Taking taylor expansion of x in x 1.794 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.794 * [taylor]: Taking taylor expansion of x in x 1.794 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.794 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.794 * [taylor]: Taking taylor expansion of y in x 1.794 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.794 * [taylor]: Taking taylor expansion of y in x 1.797 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.797 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.797 * [taylor]: Taking taylor expansion of z in x 1.797 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.797 * [taylor]: Taking taylor expansion of z in x 1.799 * [taylor]: Taking taylor expansion of 1 in y 1.799 * [taylor]: Taking taylor expansion of 0 in y 1.799 * [taylor]: Taking taylor expansion of 1 in z 1.807 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.807 * [taylor]: Taking taylor expansion of 1/2 in y 1.807 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.807 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.807 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.807 * [taylor]: Taking taylor expansion of z in y 1.807 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.807 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.807 * [taylor]: Taking taylor expansion of y in y 1.809 * [taylor]: Taking taylor expansion of 0 in z 1.809 * [taylor]: Taking taylor expansion of 0 in z 1.809 * [taylor]: Taking taylor expansion of 0 in z 1.816 * [taylor]: Taking taylor expansion of 0 in y 1.818 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.818 * [taylor]: Taking taylor expansion of 1/2 in z 1.818 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.818 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.818 * [taylor]: Taking taylor expansion of z in z 1.820 * [taylor]: Taking taylor expansion of 0 in z 1.820 * [taylor]: Taking taylor expansion of 0 in z 1.830 * [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 1.830 * [taylor]: Taking taylor expansion of -1/2 in y 1.830 * [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 1.830 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.830 * [taylor]: Taking taylor expansion of 1/4 in y 1.830 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.830 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.830 * [taylor]: Taking taylor expansion of z in y 1.831 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.831 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.831 * [taylor]: Taking taylor expansion of 1/2 in y 1.831 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.831 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.831 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.831 * [taylor]: Taking taylor expansion of z in y 1.831 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.831 * [taylor]: Taking taylor expansion of y in y 1.831 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.831 * [taylor]: Taking taylor expansion of 1/4 in y 1.831 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.831 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.831 * [taylor]: Taking taylor expansion of y in y 1.843 * [taylor]: Taking taylor expansion of 0 in z 1.843 * [taylor]: Taking taylor expansion of 0 in z 1.845 * [taylor]: Taking taylor expansion of 0 in z 1.845 * [taylor]: Taking taylor expansion of 0 in z 1.845 * [taylor]: Taking taylor expansion of 0 in z 1.847 * [approximate]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in (x y z) around 0 1.847 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in z 1.848 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.848 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in z 1.848 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z 1.848 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 1.848 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.848 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 1.848 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 1.848 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.848 * [taylor]: Taking taylor expansion of -1 in z 1.848 * [taylor]: Taking taylor expansion of x in z 1.848 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.848 * [taylor]: Taking taylor expansion of -1 in z 1.848 * [taylor]: Taking taylor expansion of x in z 1.848 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 1.848 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.848 * [taylor]: Taking taylor expansion of -1 in z 1.848 * [taylor]: Taking taylor expansion of y in z 1.848 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.848 * [taylor]: Taking taylor expansion of -1 in z 1.848 * [taylor]: Taking taylor expansion of y in z 1.850 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 1.850 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.850 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 1.850 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 1.850 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.850 * [taylor]: Taking taylor expansion of -1 in z 1.850 * [taylor]: Taking taylor expansion of x in z 1.850 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.850 * [taylor]: Taking taylor expansion of -1 in z 1.851 * [taylor]: Taking taylor expansion of x in z 1.851 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 1.851 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.851 * [taylor]: Taking taylor expansion of -1 in z 1.851 * [taylor]: Taking taylor expansion of y in z 1.851 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.851 * [taylor]: Taking taylor expansion of -1 in z 1.851 * [taylor]: Taking taylor expansion of y in z 1.852 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 1.852 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.852 * [taylor]: Taking taylor expansion of -1 in z 1.852 * [taylor]: Taking taylor expansion of z in z 1.853 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.853 * [taylor]: Taking taylor expansion of -1 in z 1.853 * [taylor]: Taking taylor expansion of z in z 1.856 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y 1.856 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.856 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y 1.856 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y 1.856 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.857 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.857 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.857 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.857 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.857 * [taylor]: Taking taylor expansion of -1 in y 1.857 * [taylor]: Taking taylor expansion of x in y 1.857 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.857 * [taylor]: Taking taylor expansion of -1 in y 1.857 * [taylor]: Taking taylor expansion of x in y 1.857 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.857 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.857 * [taylor]: Taking taylor expansion of -1 in y 1.857 * [taylor]: Taking taylor expansion of y in y 1.857 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.857 * [taylor]: Taking taylor expansion of -1 in y 1.857 * [taylor]: Taking taylor expansion of y in y 1.861 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.861 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.861 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.861 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.861 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.861 * [taylor]: Taking taylor expansion of -1 in y 1.861 * [taylor]: Taking taylor expansion of x in y 1.861 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.861 * [taylor]: Taking taylor expansion of -1 in y 1.861 * [taylor]: Taking taylor expansion of x in y 1.861 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.861 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.861 * [taylor]: Taking taylor expansion of -1 in y 1.861 * [taylor]: Taking taylor expansion of y in y 1.862 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.862 * [taylor]: Taking taylor expansion of -1 in y 1.862 * [taylor]: Taking taylor expansion of y in y 1.871 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 1.871 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.871 * [taylor]: Taking taylor expansion of -1 in y 1.871 * [taylor]: Taking taylor expansion of z in y 1.871 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.872 * [taylor]: Taking taylor expansion of -1 in y 1.872 * [taylor]: Taking taylor expansion of z in y 1.873 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 1.874 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.874 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 1.874 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 1.874 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.874 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.874 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.874 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.874 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.874 * [taylor]: Taking taylor expansion of -1 in x 1.874 * [taylor]: Taking taylor expansion of x in x 1.874 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.874 * [taylor]: Taking taylor expansion of -1 in x 1.874 * [taylor]: Taking taylor expansion of x in x 1.875 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.875 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.875 * [taylor]: Taking taylor expansion of -1 in x 1.875 * [taylor]: Taking taylor expansion of y in x 1.875 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.875 * [taylor]: Taking taylor expansion of -1 in x 1.875 * [taylor]: Taking taylor expansion of y in x 1.878 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.878 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.878 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.878 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.878 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.878 * [taylor]: Taking taylor expansion of -1 in x 1.878 * [taylor]: Taking taylor expansion of x in x 1.878 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.878 * [taylor]: Taking taylor expansion of -1 in x 1.878 * [taylor]: Taking taylor expansion of x in x 1.879 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.879 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.879 * [taylor]: Taking taylor expansion of -1 in x 1.879 * [taylor]: Taking taylor expansion of y in x 1.879 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.879 * [taylor]: Taking taylor expansion of -1 in x 1.879 * [taylor]: Taking taylor expansion of y in x 1.882 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 1.882 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.882 * [taylor]: Taking taylor expansion of -1 in x 1.882 * [taylor]: Taking taylor expansion of z in x 1.882 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.882 * [taylor]: Taking taylor expansion of -1 in x 1.882 * [taylor]: Taking taylor expansion of z in x 1.884 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 1.884 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.884 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 1.884 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 1.884 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.884 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.884 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.884 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.884 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.884 * [taylor]: Taking taylor expansion of -1 in x 1.884 * [taylor]: Taking taylor expansion of x in x 1.885 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.885 * [taylor]: Taking taylor expansion of -1 in x 1.885 * [taylor]: Taking taylor expansion of x in x 1.885 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.885 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.885 * [taylor]: Taking taylor expansion of -1 in x 1.885 * [taylor]: Taking taylor expansion of y in x 1.885 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.885 * [taylor]: Taking taylor expansion of -1 in x 1.885 * [taylor]: Taking taylor expansion of y in x 1.888 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.888 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.888 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.888 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.888 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.888 * [taylor]: Taking taylor expansion of -1 in x 1.888 * [taylor]: Taking taylor expansion of x in x 1.889 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.889 * [taylor]: Taking taylor expansion of -1 in x 1.889 * [taylor]: Taking taylor expansion of x in x 1.889 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.889 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.889 * [taylor]: Taking taylor expansion of -1 in x 1.889 * [taylor]: Taking taylor expansion of y in x 1.889 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.889 * [taylor]: Taking taylor expansion of -1 in x 1.889 * [taylor]: Taking taylor expansion of y in x 1.892 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 1.892 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.892 * [taylor]: Taking taylor expansion of -1 in x 1.892 * [taylor]: Taking taylor expansion of z in x 1.892 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.892 * [taylor]: Taking taylor expansion of -1 in x 1.892 * [taylor]: Taking taylor expansion of z in x 1.894 * [taylor]: Taking taylor expansion of 1 in y 1.894 * [taylor]: Taking taylor expansion of 0 in y 1.894 * [taylor]: Taking taylor expansion of 1 in z 1.902 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.902 * [taylor]: Taking taylor expansion of 1/2 in y 1.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.902 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.902 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.902 * [taylor]: Taking taylor expansion of z in y 1.902 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.903 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.903 * [taylor]: Taking taylor expansion of y in y 1.905 * [taylor]: Taking taylor expansion of 0 in z 1.905 * [taylor]: Taking taylor expansion of 0 in z 1.905 * [taylor]: Taking taylor expansion of 0 in z 1.912 * [taylor]: Taking taylor expansion of 0 in y 1.914 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.914 * [taylor]: Taking taylor expansion of 1/2 in z 1.914 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.914 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.914 * [taylor]: Taking taylor expansion of z in z 1.916 * [taylor]: Taking taylor expansion of 0 in z 1.916 * [taylor]: Taking taylor expansion of 0 in z 1.926 * [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 1.926 * [taylor]: Taking taylor expansion of -1/2 in y 1.926 * [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 1.926 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.926 * [taylor]: Taking taylor expansion of 1/4 in y 1.926 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.926 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.927 * [taylor]: Taking taylor expansion of z in y 1.927 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.927 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.927 * [taylor]: Taking taylor expansion of 1/2 in y 1.927 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.927 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.927 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.927 * [taylor]: Taking taylor expansion of z in y 1.927 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.927 * [taylor]: Taking taylor expansion of y in y 1.927 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.927 * [taylor]: Taking taylor expansion of 1/4 in y 1.927 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.927 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.928 * [taylor]: Taking taylor expansion of y in y 1.939 * [taylor]: Taking taylor expansion of 0 in z 1.939 * [taylor]: Taking taylor expansion of 0 in z 1.941 * [taylor]: Taking taylor expansion of 0 in z 1.942 * [taylor]: Taking taylor expansion of 0 in z 1.942 * [taylor]: Taking taylor expansion of 0 in z 1.943 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 1.944 * [approximate]: Taking taylor expansion of (hypot (hypot x y) z) in (x y z) around 0 1.944 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in z 1.944 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.944 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in z 1.944 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z 1.944 * [taylor]: Taking taylor expansion of (hypot x y) in z 1.944 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.944 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 1.944 * [taylor]: Taking taylor expansion of (* x x) in z 1.944 * [taylor]: Taking taylor expansion of x in z 1.944 * [taylor]: Taking taylor expansion of x in z 1.944 * [taylor]: Taking taylor expansion of (* y y) in z 1.944 * [taylor]: Taking taylor expansion of y in z 1.944 * [taylor]: Taking taylor expansion of y in z 1.945 * [taylor]: Taking taylor expansion of (hypot x y) in z 1.945 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.945 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 1.945 * [taylor]: Taking taylor expansion of (* x x) in z 1.945 * [taylor]: Taking taylor expansion of x in z 1.945 * [taylor]: Taking taylor expansion of x in z 1.945 * [taylor]: Taking taylor expansion of (* y y) in z 1.945 * [taylor]: Taking taylor expansion of y in z 1.945 * [taylor]: Taking taylor expansion of y in z 1.946 * [taylor]: Taking taylor expansion of (* z z) in z 1.946 * [taylor]: Taking taylor expansion of z in z 1.946 * [taylor]: Taking taylor expansion of z in z 1.948 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in y 1.949 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.949 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in y 1.949 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y 1.949 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.949 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.949 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.949 * [taylor]: Taking taylor expansion of (* x x) in y 1.949 * [taylor]: Taking taylor expansion of x in y 1.949 * [taylor]: Taking taylor expansion of x in y 1.949 * [taylor]: Taking taylor expansion of (* y y) in y 1.949 * [taylor]: Taking taylor expansion of y in y 1.949 * [taylor]: Taking taylor expansion of y in y 1.950 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.951 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.951 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.951 * [taylor]: Taking taylor expansion of (* x x) in y 1.951 * [taylor]: Taking taylor expansion of x in y 1.951 * [taylor]: Taking taylor expansion of x in y 1.951 * [taylor]: Taking taylor expansion of (* y y) in y 1.951 * [taylor]: Taking taylor expansion of y in y 1.951 * [taylor]: Taking taylor expansion of y in y 1.952 * [taylor]: Taking taylor expansion of (* z z) in y 1.952 * [taylor]: Taking taylor expansion of z in y 1.952 * [taylor]: Taking taylor expansion of z in y 1.953 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 1.953 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.953 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 1.953 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 1.953 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.953 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.953 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.953 * [taylor]: Taking taylor expansion of (* x x) in x 1.953 * [taylor]: Taking taylor expansion of x in x 1.953 * [taylor]: Taking taylor expansion of x in x 1.953 * [taylor]: Taking taylor expansion of (* y y) in x 1.953 * [taylor]: Taking taylor expansion of y in x 1.953 * [taylor]: Taking taylor expansion of y in x 1.955 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.955 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.955 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.955 * [taylor]: Taking taylor expansion of (* x x) in x 1.955 * [taylor]: Taking taylor expansion of x in x 1.955 * [taylor]: Taking taylor expansion of x in x 1.955 * [taylor]: Taking taylor expansion of (* y y) in x 1.955 * [taylor]: Taking taylor expansion of y in x 1.955 * [taylor]: Taking taylor expansion of y in x 1.956 * [taylor]: Taking taylor expansion of (* z z) in x 1.956 * [taylor]: Taking taylor expansion of z in x 1.956 * [taylor]: Taking taylor expansion of z in x 1.957 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 1.957 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.957 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 1.957 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 1.957 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.957 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.957 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.957 * [taylor]: Taking taylor expansion of (* x x) in x 1.957 * [taylor]: Taking taylor expansion of x in x 1.957 * [taylor]: Taking taylor expansion of x in x 1.958 * [taylor]: Taking taylor expansion of (* y y) in x 1.958 * [taylor]: Taking taylor expansion of y in x 1.958 * [taylor]: Taking taylor expansion of y in x 1.959 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.959 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.959 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.959 * [taylor]: Taking taylor expansion of (* x x) in x 1.959 * [taylor]: Taking taylor expansion of x in x 1.959 * [taylor]: Taking taylor expansion of x in x 1.959 * [taylor]: Taking taylor expansion of (* y y) in x 1.959 * [taylor]: Taking taylor expansion of y in x 1.959 * [taylor]: Taking taylor expansion of y in x 1.960 * [taylor]: Taking taylor expansion of (* z z) in x 1.960 * [taylor]: Taking taylor expansion of z in x 1.960 * [taylor]: Taking taylor expansion of z in x 1.961 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 1.961 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.961 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.961 * [taylor]: Taking taylor expansion of y in y 1.961 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.961 * [taylor]: Taking taylor expansion of z in y 1.962 * [taylor]: Taking taylor expansion of z in z 1.962 * [taylor]: Taking taylor expansion of 0 in y 1.962 * [taylor]: Taking taylor expansion of 0 in z 1.962 * [taylor]: Taking taylor expansion of 0 in z 1.974 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 1.974 * [taylor]: Taking taylor expansion of 1/2 in y 1.974 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 1.974 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 1.974 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.974 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.974 * [taylor]: Taking taylor expansion of y in y 1.974 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.974 * [taylor]: Taking taylor expansion of z in y 1.975 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.975 * [taylor]: Taking taylor expansion of 1/2 in z 1.975 * [taylor]: Taking taylor expansion of z in z 1.976 * [taylor]: Taking taylor expansion of 0 in z 1.977 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.978 * [taylor]: Taking taylor expansion of 1/2 in z 1.978 * [taylor]: Taking taylor expansion of z in z 1.979 * [approximate]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in (x y z) around 0 1.979 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in z 1.979 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.979 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in z 1.979 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z 1.979 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 1.979 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.979 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 1.979 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 1.979 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.979 * [taylor]: Taking taylor expansion of x in z 1.979 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.979 * [taylor]: Taking taylor expansion of x in z 1.979 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 1.979 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.980 * [taylor]: Taking taylor expansion of y in z 1.980 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.980 * [taylor]: Taking taylor expansion of y in z 1.981 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 1.981 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.981 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 1.981 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 1.981 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.981 * [taylor]: Taking taylor expansion of x in z 1.981 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.981 * [taylor]: Taking taylor expansion of x in z 1.981 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 1.981 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.981 * [taylor]: Taking taylor expansion of y in z 1.982 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.982 * [taylor]: Taking taylor expansion of y in z 1.983 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 1.983 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.983 * [taylor]: Taking taylor expansion of z in z 1.984 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.984 * [taylor]: Taking taylor expansion of z in z 1.987 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y 1.987 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.987 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y 1.987 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 1.987 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.987 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.987 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.987 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.987 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.987 * [taylor]: Taking taylor expansion of x in y 1.987 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.987 * [taylor]: Taking taylor expansion of x in y 1.987 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.987 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.987 * [taylor]: Taking taylor expansion of y in y 1.988 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.988 * [taylor]: Taking taylor expansion of y in y 1.991 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.991 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.991 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.991 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.991 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.991 * [taylor]: Taking taylor expansion of x in y 1.991 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.991 * [taylor]: Taking taylor expansion of x in y 1.991 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.991 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.991 * [taylor]: Taking taylor expansion of y in y 1.992 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.992 * [taylor]: Taking taylor expansion of y in y 1.995 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 1.995 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.995 * [taylor]: Taking taylor expansion of z in y 1.995 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.995 * [taylor]: Taking taylor expansion of z in y 1.997 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 1.997 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.997 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 1.997 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.997 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.997 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.997 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.997 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.997 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.997 * [taylor]: Taking taylor expansion of x in x 1.998 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.998 * [taylor]: Taking taylor expansion of x in x 1.998 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.998 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.998 * [taylor]: Taking taylor expansion of y in x 1.998 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.998 * [taylor]: Taking taylor expansion of y in x 2.001 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.002 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.002 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.002 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.002 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.002 * [taylor]: Taking taylor expansion of x in x 2.002 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.002 * [taylor]: Taking taylor expansion of x in x 2.002 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.003 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.003 * [taylor]: Taking taylor expansion of y in x 2.003 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.003 * [taylor]: Taking taylor expansion of y in x 2.006 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 2.006 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.006 * [taylor]: Taking taylor expansion of z in x 2.006 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.006 * [taylor]: Taking taylor expansion of z in x 2.008 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 2.008 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 2.008 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 2.008 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 2.008 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.008 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.008 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.008 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.008 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.008 * [taylor]: Taking taylor expansion of x in x 2.009 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.009 * [taylor]: Taking taylor expansion of x in x 2.009 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.009 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.009 * [taylor]: Taking taylor expansion of y in x 2.009 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.009 * [taylor]: Taking taylor expansion of y in x 2.012 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 2.012 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 2.012 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 2.012 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.012 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.012 * [taylor]: Taking taylor expansion of x in x 2.013 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.013 * [taylor]: Taking taylor expansion of x in x 2.013 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 2.013 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.013 * [taylor]: Taking taylor expansion of y in x 2.013 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.013 * [taylor]: Taking taylor expansion of y in x 2.016 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 2.016 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.016 * [taylor]: Taking taylor expansion of z in x 2.016 * [taylor]: Taking taylor expansion of (/ 1 z) in x 2.016 * [taylor]: Taking taylor expansion of z in x 2.018 * [taylor]: Taking taylor expansion of 1 in y 2.018 * [taylor]: Taking taylor expansion of 0 in y 2.018 * [taylor]: Taking taylor expansion of 1 in z 2.026 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 2.026 * [taylor]: Taking taylor expansion of 1/2 in y 2.026 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 2.026 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 2.026 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.026 * [taylor]: Taking taylor expansion of z in y 2.026 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.026 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.026 * [taylor]: Taking taylor expansion of y in y 2.028 * [taylor]: Taking taylor expansion of 0 in z 2.028 * [taylor]: Taking taylor expansion of 0 in z 2.029 * [taylor]: Taking taylor expansion of 0 in z 2.035 * [taylor]: Taking taylor expansion of 0 in y 2.037 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 2.037 * [taylor]: Taking taylor expansion of 1/2 in z 2.037 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 2.037 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.037 * [taylor]: Taking taylor expansion of z in z 2.039 * [taylor]: Taking taylor expansion of 0 in z 2.039 * [taylor]: Taking taylor expansion of 0 in z 2.049 * [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 2.049 * [taylor]: Taking taylor expansion of -1/2 in y 2.050 * [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 2.050 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 2.050 * [taylor]: Taking taylor expansion of 1/4 in y 2.050 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 2.050 * [taylor]: Taking taylor expansion of (pow z 4) in y 2.050 * [taylor]: Taking taylor expansion of z in y 2.050 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 2.050 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 2.050 * [taylor]: Taking taylor expansion of 1/2 in y 2.050 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 2.050 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 2.050 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.050 * [taylor]: Taking taylor expansion of z in y 2.050 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.050 * [taylor]: Taking taylor expansion of y in y 2.051 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 2.051 * [taylor]: Taking taylor expansion of 1/4 in y 2.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.051 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.051 * [taylor]: Taking taylor expansion of y in y 2.063 * [taylor]: Taking taylor expansion of 0 in z 2.063 * [taylor]: Taking taylor expansion of 0 in z 2.066 * [taylor]: Taking taylor expansion of 0 in z 2.066 * [taylor]: Taking taylor expansion of 0 in z 2.066 * [taylor]: Taking taylor expansion of 0 in z 2.069 * [approximate]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in (x y z) around 0 2.069 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in z 2.069 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.069 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in z 2.069 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z 2.069 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 2.069 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.069 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 2.070 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 2.070 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.070 * [taylor]: Taking taylor expansion of -1 in z 2.070 * [taylor]: Taking taylor expansion of x in z 2.070 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.070 * [taylor]: Taking taylor expansion of -1 in z 2.070 * [taylor]: Taking taylor expansion of x in z 2.070 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 2.070 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.070 * [taylor]: Taking taylor expansion of -1 in z 2.070 * [taylor]: Taking taylor expansion of y in z 2.070 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.070 * [taylor]: Taking taylor expansion of -1 in z 2.070 * [taylor]: Taking taylor expansion of y in z 2.072 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 2.072 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.072 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 2.072 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 2.072 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.072 * [taylor]: Taking taylor expansion of -1 in z 2.072 * [taylor]: Taking taylor expansion of x in z 2.072 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.072 * [taylor]: Taking taylor expansion of -1 in z 2.072 * [taylor]: Taking taylor expansion of x in z 2.072 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 2.072 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.072 * [taylor]: Taking taylor expansion of -1 in z 2.072 * [taylor]: Taking taylor expansion of y in z 2.072 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.072 * [taylor]: Taking taylor expansion of -1 in z 2.072 * [taylor]: Taking taylor expansion of y in z 2.080 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 2.080 * [taylor]: Taking taylor expansion of (/ -1 z) in z 2.080 * [taylor]: Taking taylor expansion of -1 in z 2.080 * [taylor]: Taking taylor expansion of z in z 2.081 * [taylor]: Taking taylor expansion of (/ -1 z) in z 2.081 * [taylor]: Taking taylor expansion of -1 in z 2.081 * [taylor]: Taking taylor expansion of z in z 2.084 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y 2.084 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.085 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y 2.085 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y 2.085 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 2.085 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.085 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 2.085 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.085 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.085 * [taylor]: Taking taylor expansion of -1 in y 2.085 * [taylor]: Taking taylor expansion of x in y 2.085 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.085 * [taylor]: Taking taylor expansion of -1 in y 2.085 * [taylor]: Taking taylor expansion of x in y 2.085 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.085 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.085 * [taylor]: Taking taylor expansion of -1 in y 2.085 * [taylor]: Taking taylor expansion of y in y 2.086 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.086 * [taylor]: Taking taylor expansion of -1 in y 2.086 * [taylor]: Taking taylor expansion of y in y 2.089 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 2.089 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.089 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 2.090 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.090 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.090 * [taylor]: Taking taylor expansion of -1 in y 2.090 * [taylor]: Taking taylor expansion of x in y 2.090 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.090 * [taylor]: Taking taylor expansion of -1 in y 2.090 * [taylor]: Taking taylor expansion of x in y 2.090 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.090 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.090 * [taylor]: Taking taylor expansion of -1 in y 2.090 * [taylor]: Taking taylor expansion of y in y 2.090 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.090 * [taylor]: Taking taylor expansion of -1 in y 2.090 * [taylor]: Taking taylor expansion of y in y 2.094 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 2.094 * [taylor]: Taking taylor expansion of (/ -1 z) in y 2.094 * [taylor]: Taking taylor expansion of -1 in y 2.094 * [taylor]: Taking taylor expansion of z in y 2.094 * [taylor]: Taking taylor expansion of (/ -1 z) in y 2.094 * [taylor]: Taking taylor expansion of -1 in y 2.094 * [taylor]: Taking taylor expansion of z in y 2.096 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 2.096 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.096 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 2.096 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 2.096 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.096 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.096 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.096 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.096 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.096 * [taylor]: Taking taylor expansion of -1 in x 2.096 * [taylor]: Taking taylor expansion of x in x 2.097 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.097 * [taylor]: Taking taylor expansion of -1 in x 2.097 * [taylor]: Taking taylor expansion of x in x 2.097 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.097 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.097 * [taylor]: Taking taylor expansion of -1 in x 2.097 * [taylor]: Taking taylor expansion of y in x 2.097 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.097 * [taylor]: Taking taylor expansion of -1 in x 2.097 * [taylor]: Taking taylor expansion of y in x 2.100 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.100 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.100 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.101 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.101 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.101 * [taylor]: Taking taylor expansion of -1 in x 2.101 * [taylor]: Taking taylor expansion of x in x 2.101 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.101 * [taylor]: Taking taylor expansion of -1 in x 2.101 * [taylor]: Taking taylor expansion of x in x 2.101 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.101 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.101 * [taylor]: Taking taylor expansion of -1 in x 2.102 * [taylor]: Taking taylor expansion of y in x 2.102 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.102 * [taylor]: Taking taylor expansion of -1 in x 2.102 * [taylor]: Taking taylor expansion of y in x 2.105 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 2.105 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.105 * [taylor]: Taking taylor expansion of -1 in x 2.105 * [taylor]: Taking taylor expansion of z in x 2.105 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.105 * [taylor]: Taking taylor expansion of -1 in x 2.105 * [taylor]: Taking taylor expansion of z in x 2.107 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 2.107 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.107 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 2.107 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 2.107 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.108 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.108 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.108 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.108 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.108 * [taylor]: Taking taylor expansion of -1 in x 2.108 * [taylor]: Taking taylor expansion of x in x 2.108 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.108 * [taylor]: Taking taylor expansion of -1 in x 2.108 * [taylor]: Taking taylor expansion of x in x 2.108 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.108 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.108 * [taylor]: Taking taylor expansion of -1 in x 2.109 * [taylor]: Taking taylor expansion of y in x 2.109 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.109 * [taylor]: Taking taylor expansion of -1 in x 2.109 * [taylor]: Taking taylor expansion of y in x 2.112 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.112 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.112 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.112 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.112 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.112 * [taylor]: Taking taylor expansion of -1 in x 2.112 * [taylor]: Taking taylor expansion of x in x 2.113 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.113 * [taylor]: Taking taylor expansion of -1 in x 2.113 * [taylor]: Taking taylor expansion of x in x 2.113 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.113 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.113 * [taylor]: Taking taylor expansion of -1 in x 2.113 * [taylor]: Taking taylor expansion of y in x 2.113 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.113 * [taylor]: Taking taylor expansion of -1 in x 2.113 * [taylor]: Taking taylor expansion of y in x 2.116 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 2.116 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.116 * [taylor]: Taking taylor expansion of -1 in x 2.116 * [taylor]: Taking taylor expansion of z in x 2.116 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.116 * [taylor]: Taking taylor expansion of -1 in x 2.116 * [taylor]: Taking taylor expansion of z in x 2.118 * [taylor]: Taking taylor expansion of 1 in y 2.119 * [taylor]: Taking taylor expansion of 0 in y 2.119 * [taylor]: Taking taylor expansion of 1 in z 2.126 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 2.126 * [taylor]: Taking taylor expansion of 1/2 in y 2.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 2.126 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 2.126 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.126 * [taylor]: Taking taylor expansion of z in y 2.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.127 * [taylor]: Taking taylor expansion of y in y 2.129 * [taylor]: Taking taylor expansion of 0 in z 2.129 * [taylor]: Taking taylor expansion of 0 in z 2.129 * [taylor]: Taking taylor expansion of 0 in z 2.137 * [taylor]: Taking taylor expansion of 0 in y 2.138 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 2.138 * [taylor]: Taking taylor expansion of 1/2 in z 2.139 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 2.139 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.139 * [taylor]: Taking taylor expansion of z in z 2.140 * [taylor]: Taking taylor expansion of 0 in z 2.140 * [taylor]: Taking taylor expansion of 0 in z 2.151 * [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 2.151 * [taylor]: Taking taylor expansion of -1/2 in y 2.151 * [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 2.151 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 2.151 * [taylor]: Taking taylor expansion of 1/4 in y 2.151 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 2.151 * [taylor]: Taking taylor expansion of (pow z 4) in y 2.151 * [taylor]: Taking taylor expansion of z in y 2.151 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 2.152 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 2.152 * [taylor]: Taking taylor expansion of 1/2 in y 2.152 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 2.152 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 2.152 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.152 * [taylor]: Taking taylor expansion of z in y 2.152 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.152 * [taylor]: Taking taylor expansion of y in y 2.152 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 2.152 * [taylor]: Taking taylor expansion of 1/4 in y 2.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.152 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.152 * [taylor]: Taking taylor expansion of y in y 2.164 * [taylor]: Taking taylor expansion of 0 in z 2.164 * [taylor]: Taking taylor expansion of 0 in z 2.167 * [taylor]: Taking taylor expansion of 0 in z 2.167 * [taylor]: Taking taylor expansion of 0 in z 2.167 * [taylor]: Taking taylor expansion of 0 in z 2.169 * * * [progress]: simplifying candidates 2.170 * [simplify]: Simplifying using # : (expm1 (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)))) (log1p (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (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))) (* (hypot (* 1 (hypot x y)) z) (hypot (* 1 (hypot x y)) z)) (+ 1 1) (+ (log (sqrt (hypot (* 1 (hypot x y)) z))) (log (sqrt (hypot (* 1 (hypot x y)) z)))) (log (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)))) (exp (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)))) (* (* (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z))) (sqrt (hypot (* 1 (hypot x y)) z))) (* (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z))) (sqrt (hypot (* 1 (hypot x y)) z)))) (* (cbrt (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)))) (cbrt (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z))))) (cbrt (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)))) (* (* (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z))) (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)))) (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)))) (* (hypot (* 1 (hypot x y)) z) (hypot (* 1 (hypot x y)) z)) (sqrt (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)))) (sqrt (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)))) (* (* (cbrt (sqrt (hypot (* 1 (hypot x y)) z))) (cbrt (sqrt (hypot (* 1 (hypot x y)) z)))) (* (cbrt (sqrt (hypot (* 1 (hypot x y)) z))) (cbrt (sqrt (hypot (* 1 (hypot x y)) z))))) (* (cbrt (sqrt (hypot (* 1 (hypot x y)) z))) (cbrt (sqrt (hypot (* 1 (hypot x y)) z)))) (* (sqrt (* (cbrt (hypot (* 1 (hypot x y)) z)) (cbrt (hypot (* 1 (hypot x y)) z)))) (sqrt (* (cbrt (hypot (* 1 (hypot x y)) z)) (cbrt (hypot (* 1 (hypot x y)) z))))) (* (sqrt (cbrt (hypot (* 1 (hypot x y)) z))) (sqrt (cbrt (hypot (* 1 (hypot x y)) z)))) (* (sqrt (sqrt (hypot (* 1 (hypot x y)) z))) (sqrt (sqrt (hypot (* 1 (hypot x y)) z)))) (* (sqrt (sqrt (hypot (* 1 (hypot x y)) z))) (sqrt (sqrt (hypot (* 1 (hypot x y)) z)))) (* (sqrt (sqrt (hypot (* 1 (hypot x y)) z))) (sqrt (sqrt (hypot (* 1 (hypot x y)) z)))) (* (sqrt (sqrt (hypot (* 1 (hypot x y)) z))) (sqrt (sqrt (hypot (* 1 (hypot x y)) z)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z))) (* (sqrt (sqrt (hypot (* 1 (hypot x y)) z))) (sqrt (sqrt (hypot (* 1 (hypot x y)) z)))) (* (sqrt (sqrt (hypot (* 1 (hypot x y)) z))) (sqrt (sqrt (hypot (* 1 (hypot x y)) z)))) (* (sqrt (sqrt (hypot (* 1 (hypot x y)) z))) (sqrt (sqrt (hypot (* 1 (hypot x y)) z)))) (* (sqrt (sqrt (hypot (* 1 (hypot x y)) z))) (sqrt (sqrt (hypot (* 1 (hypot x y)) z)))) (* 1 1) (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z))) (* (sqrt (sqrt (hypot (* 1 (hypot x y)) z))) (sqrt (sqrt (hypot (* 1 (hypot x y)) z)))) (* (sqrt (sqrt (hypot (* 1 (hypot x y)) z))) (sqrt (sqrt (hypot (* 1 (hypot x y)) z)))) (* (sqrt (sqrt (hypot (* 1 (hypot x y)) z))) (sqrt (sqrt (hypot (* 1 (hypot x y)) z)))) (* (sqrt (sqrt (hypot (* 1 (hypot x y)) z))) (sqrt (sqrt (hypot (* 1 (hypot x y)) z)))) (* (sqrt (sqrt (hypot (* 1 (hypot x y)) z))) (sqrt (sqrt (hypot (* 1 (hypot x y)) z)))) (* (sqrt (sqrt (hypot (* 1 (hypot x y)) z))) (sqrt (sqrt (hypot (* 1 (hypot x y)) z)))) (* (sqrt (sqrt (hypot (* 1 (hypot x y)) z))) (sqrt (sqrt (hypot (* 1 (hypot x y)) z)))) (* (sqrt (sqrt (hypot (* 1 (hypot x y)) z))) (sqrt (sqrt (hypot (* 1 (hypot x y)) z)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot (* 1 (hypot x y)) z)) (* (cbrt (sqrt (hypot (* 1 (hypot x y)) z))) (cbrt (sqrt (hypot (* 1 (hypot x y)) z))))) (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (* (cbrt (hypot (* 1 (hypot x y)) z)) (cbrt (hypot (* 1 (hypot x y)) z))))) (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (sqrt (hypot (* 1 (hypot x y)) z)))) (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt 1)) (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (sqrt (hypot (* 1 (hypot x y)) z)))) (* (sqrt (hypot (* 1 (hypot x y)) z)) 1) (* (cbrt (sqrt (hypot (* 1 (hypot x y)) z))) (sqrt (hypot (* 1 (hypot x y)) z))) (* (sqrt (cbrt (hypot (* 1 (hypot x y)) z))) (sqrt (hypot (* 1 (hypot x y)) z))) (* (sqrt (sqrt (hypot (* 1 (hypot x y)) z))) (sqrt (hypot (* 1 (hypot x y)) z))) (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z))) (* (sqrt (sqrt (hypot (* 1 (hypot x y)) z))) (sqrt (hypot (* 1 (hypot x y)) z))) (* (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z))) (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)) (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 x (* -1 x) z x (* -1 x) z x (* -1 x) 2.182 * * [simplify]: iteration 0 : 112 enodes (cost 417 ) 2.188 * * [simplify]: iteration 1 : 406 enodes (cost 356 ) 2.205 * * [simplify]: iteration 2 : 2436 enodes (cost 336 ) 2.304 * * [simplify]: iteration 3 : 5002 enodes (cost 318 ) 2.307 * [simplify]: Simplified to: (expm1 (hypot (* 1 (hypot x y)) z)) (log1p (hypot (* 1 (hypot x y)) z)) 1 1 2 1 1 (pow (sqrt (hypot (* 1 (hypot x y)) z)) 4) (hypot (* 1 (hypot x y)) z) (pow (sqrt (hypot (* 1 (hypot x y)) z)) 4) 2 (log (hypot (* 1 (hypot x y)) z)) (log (hypot (* 1 (hypot x y)) z)) (exp (hypot (* 1 (hypot x y)) z)) (pow (hypot (* 1 (hypot x y)) z) 3) (pow (sqrt (cbrt (hypot (* 1 (hypot x y)) z))) 4) (cbrt (hypot (* 1 (hypot x y)) z)) (pow (hypot (* 1 (hypot x y)) z) 3) (pow (sqrt (hypot (* 1 (hypot x y)) z)) 4) (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)) (pow (cbrt (sqrt (hypot (* 1 (hypot x y)) z))) 4) (* (cbrt (sqrt (hypot (* 1 (hypot x y)) z))) (cbrt (sqrt (hypot (* 1 (hypot x y)) z)))) (pow (sqrt (cbrt (hypot (* 1 (hypot x y)) z))) 4) (cbrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)) 1 (hypot (* 1 (hypot x y)) z) (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)) 1 (hypot (* 1 (hypot x y)) z) (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)) 1 2 1 (pow (cbrt (sqrt (hypot (* 1 (hypot x y)) z))) 5) (* (fabs (cbrt (hypot (* 1 (hypot x y)) z))) (sqrt (hypot (* 1 (hypot x y)) z))) (pow (sqrt (sqrt (hypot (* 1 (hypot x y)) z))) 3) (sqrt (hypot (* 1 (hypot x y)) z)) (pow (sqrt (sqrt (hypot (* 1 (hypot x y)) z))) 3) (sqrt (hypot (* 1 (hypot x y)) z)) (pow (cbrt (sqrt (hypot (* 1 (hypot x y)) z))) 4) (* (sqrt (cbrt (hypot (* 1 (hypot x y)) z))) (sqrt (hypot (* 1 (hypot x y)) z))) (pow (sqrt (sqrt (hypot (* 1 (hypot x y)) z))) 3) (hypot (* 1 (hypot x y)) z) (pow (sqrt (sqrt (hypot (* 1 (hypot x y)) z))) 3) (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)) (pow (sqrt (cbrt (hypot (* 1 (hypot x y)) z))) 4) (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)) (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)) (pow (sqrt (cbrt (hypot (* 1 (hypot x y)) z))) 4) (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 x (* -1 x) z x (* -1 x) z x (* -1 x) 2.307 * * * [progress]: adding candidates to table 2.498 * [progress]: [Phase 3 of 3] Extracting. 2.498 * * [regime]: Finding splitpoints for: (# #) 2.498 * * * [regime-changes]: Trying 3 branch expressions: (z y x) 2.498 * * * * [regimes]: Trying to branch on z from (# #) 2.517 * * * * [regimes]: Trying to branch on y from (# #) 2.532 * * * * [regimes]: Trying to branch on x from (# #) 2.547 * * * [regime]: Found split indices: #