13.636 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.022 * * [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 ) 0.034 * * [simplify]: iteration 4 : 32 enodes (cost 6 ) 0.034 * [simplify]: Simplified to: (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.034 * * [progress]: iteration 1 / 4 0.035 * * * [progress]: picking best candidate 0.037 * * * * [pick]: Picked # 0.037 * * * [progress]: localizing error 0.046 * * * [progress]: generating rewritten candidates 0.046 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.052 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.056 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.064 * * * [progress]: generating series expansions 0.064 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.064 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.064 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.064 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.065 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.065 * [taylor]: Taking taylor expansion of x in z 0.065 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.065 * [taylor]: Taking taylor expansion of y in z 0.065 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.065 * [taylor]: Taking taylor expansion of z in z 0.066 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.066 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.066 * [taylor]: Taking taylor expansion of x in y 0.066 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.066 * [taylor]: Taking taylor expansion of z in y 0.069 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.069 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.069 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.069 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.069 * [taylor]: Taking taylor expansion of y in x 0.069 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.069 * [taylor]: Taking taylor expansion of z in x 0.071 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.071 * [taylor]: Taking taylor expansion of z in x 0.072 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.072 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.072 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.072 * [taylor]: Taking taylor expansion of z in y 0.073 * [taylor]: Taking taylor expansion of z in z 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [taylor]: Taking taylor expansion of 0 in z 0.073 * [taylor]: Taking taylor expansion of 0 in z 0.075 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.075 * [taylor]: Taking taylor expansion of 1/2 in y 0.075 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.075 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.075 * [taylor]: Taking taylor expansion of z in y 0.076 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.076 * [taylor]: Taking taylor expansion of 1/2 in z 0.076 * [taylor]: Taking taylor expansion of z in z 0.077 * [taylor]: Taking taylor expansion of 0 in z 0.079 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.079 * [taylor]: Taking taylor expansion of 1/2 in z 0.079 * [taylor]: Taking taylor expansion of z in z 0.080 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.080 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.081 * [taylor]: Taking taylor expansion of x in z 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.081 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.081 * [taylor]: Taking taylor expansion of z in z 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.081 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.081 * [taylor]: Taking taylor expansion of y in z 0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.085 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.085 * [taylor]: Taking taylor expansion of x in y 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.085 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.085 * [taylor]: Taking taylor expansion of z in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.089 * [taylor]: Taking taylor expansion of z in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 0.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.096 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.096 * [taylor]: Taking taylor expansion of z in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.096 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.096 * [taylor]: Taking taylor expansion of y in x 0.099 * [taylor]: Taking taylor expansion of 1 in y 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [taylor]: Taking taylor expansion of 1 in z 0.102 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.102 * [taylor]: Taking taylor expansion of 1/2 in y 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.102 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.102 * [taylor]: Taking taylor expansion of z in y 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.102 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.105 * [taylor]: Taking taylor expansion of 0 in z 0.105 * [taylor]: Taking taylor expansion of 0 in z 0.105 * [taylor]: Taking taylor expansion of 0 in z 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.110 * [taylor]: Taking taylor expansion of 1/2 in z 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.110 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.110 * [taylor]: Taking taylor expansion of z in z 0.112 * [taylor]: Taking taylor expansion of 0 in z 0.112 * [taylor]: Taking taylor expansion of 0 in z 0.116 * [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 0.116 * [taylor]: Taking taylor expansion of -1/2 in y 0.116 * [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 0.116 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.116 * [taylor]: Taking taylor expansion of 1/4 in y 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.116 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.116 * [taylor]: Taking taylor expansion of z in y 0.117 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.117 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.117 * [taylor]: Taking taylor expansion of 1/2 in y 0.117 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.117 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.117 * [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 (pow y 2) in y 0.117 * [taylor]: Taking taylor expansion of y in y 0.117 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.117 * [taylor]: Taking taylor expansion of 1/4 in y 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.117 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.117 * [taylor]: Taking taylor expansion of y in y 0.129 * [taylor]: Taking taylor expansion of 0 in z 0.129 * [taylor]: Taking taylor expansion of 0 in z 0.132 * [taylor]: Taking taylor expansion of 0 in z 0.132 * [taylor]: Taking taylor expansion of 0 in z 0.132 * [taylor]: Taking taylor expansion of 0 in z 0.134 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.134 * [taylor]: Taking taylor expansion of x in z 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.134 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.134 * [taylor]: Taking taylor expansion of z in z 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.135 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.135 * [taylor]: Taking taylor expansion of y in z 0.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.138 * [taylor]: Taking taylor expansion of x in y 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.138 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.138 * [taylor]: Taking taylor expansion of z in y 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.139 * [taylor]: Taking taylor expansion of y in y 0.142 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.142 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.142 * [taylor]: Taking taylor expansion of z in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.145 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.146 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.146 * [taylor]: Taking taylor expansion of z in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.146 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.146 * [taylor]: Taking taylor expansion of y in x 0.148 * [taylor]: Taking taylor expansion of 1 in y 0.148 * [taylor]: Taking taylor expansion of 0 in y 0.148 * [taylor]: Taking taylor expansion of 1 in z 0.151 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.151 * [taylor]: Taking taylor expansion of 1/2 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 0 in z 0.154 * [taylor]: Taking taylor expansion of 0 in z 0.154 * [taylor]: Taking taylor expansion of 0 in z 0.157 * [taylor]: Taking taylor expansion of 0 in y 0.158 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.158 * [taylor]: Taking taylor expansion of 1/2 in z 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.158 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.159 * [taylor]: Taking taylor expansion of z in z 0.160 * [taylor]: Taking taylor expansion of 0 in z 0.160 * [taylor]: Taking taylor expansion of 0 in z 0.165 * [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 0.165 * [taylor]: Taking taylor expansion of -1/2 in y 0.165 * [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 0.165 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.165 * [taylor]: Taking taylor expansion of 1/4 in y 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.165 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.165 * [taylor]: Taking taylor expansion of z in y 0.165 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.165 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.165 * [taylor]: Taking taylor expansion of 1/2 in y 0.165 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.165 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.165 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.165 * [taylor]: Taking taylor expansion of z in y 0.165 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.166 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.166 * [taylor]: Taking taylor expansion of 1/4 in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.166 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.178 * [taylor]: Taking taylor expansion of 0 in z 0.178 * [taylor]: Taking taylor expansion of 0 in z 0.180 * [taylor]: Taking taylor expansion of 0 in z 0.180 * [taylor]: Taking taylor expansion of 0 in z 0.180 * [taylor]: Taking taylor expansion of 0 in z 0.182 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.182 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.182 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.182 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.182 * [taylor]: Taking taylor expansion of x in y 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.182 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.182 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.182 * [taylor]: Taking taylor expansion of y in x 0.182 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.182 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.183 * [taylor]: Taking taylor expansion of y in x 0.183 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.183 * [taylor]: Taking taylor expansion of y in y 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.184 * [taylor]: Taking taylor expansion of 1 in y 0.186 * [taylor]: Taking taylor expansion of 0 in y 0.188 * [taylor]: Taking taylor expansion of 0 in y 0.189 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.189 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.189 * [taylor]: Taking taylor expansion of x in y 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.189 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.189 * [taylor]: Taking taylor expansion of y in y 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.190 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.190 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.190 * [taylor]: Taking taylor expansion of y in x 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.190 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.191 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.191 * [taylor]: Taking taylor expansion of y in x 0.191 * [taylor]: Taking taylor expansion of 1 in y 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.194 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.194 * [taylor]: Taking taylor expansion of y in y 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.205 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.205 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.205 * [taylor]: Taking taylor expansion of x in y 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.205 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.206 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.206 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.206 * [taylor]: Taking taylor expansion of y in x 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.206 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.207 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.207 * [taylor]: Taking taylor expansion of y in x 0.208 * [taylor]: Taking taylor expansion of 1 in y 0.209 * [taylor]: Taking taylor expansion of 0 in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.215 * [taylor]: Taking taylor expansion of 0 in y 0.217 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.217 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in (x y z) around 0 0.217 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.217 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.217 * [taylor]: Taking taylor expansion of x in z 0.217 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.217 * [taylor]: Taking taylor expansion of y in z 0.217 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.217 * [taylor]: Taking taylor expansion of z in z 0.217 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.217 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.217 * [taylor]: Taking taylor expansion of x in y 0.217 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.217 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.217 * [taylor]: Taking taylor expansion of z in y 0.217 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.217 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.218 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.218 * [taylor]: Taking taylor expansion of y in x 0.218 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.218 * [taylor]: Taking taylor expansion of z in x 0.218 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.218 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.218 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.218 * [taylor]: Taking taylor expansion of y in x 0.218 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.218 * [taylor]: Taking taylor expansion of z in x 0.218 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.218 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.218 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.218 * [taylor]: Taking taylor expansion of z in y 0.218 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.218 * [taylor]: Taking taylor expansion of z in z 0.219 * [taylor]: Taking taylor expansion of 0 in y 0.219 * [taylor]: Taking taylor expansion of 0 in z 0.220 * [taylor]: Taking taylor expansion of 0 in z 0.221 * [taylor]: Taking taylor expansion of 1 in y 0.221 * [taylor]: Taking taylor expansion of 1 in z 0.221 * [taylor]: Taking taylor expansion of 0 in z 0.222 * [taylor]: Taking taylor expansion of 1 in z 0.223 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.223 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.223 * [taylor]: Taking taylor expansion of x in z 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.224 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.224 * [taylor]: Taking taylor expansion of z in z 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.224 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.224 * [taylor]: Taking taylor expansion of y in z 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.224 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.224 * [taylor]: Taking taylor expansion of x in y 0.225 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.225 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.225 * [taylor]: Taking taylor expansion of z in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.225 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.225 * [taylor]: Taking taylor expansion of y in y 0.225 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.225 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.226 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.226 * [taylor]: Taking taylor expansion of z in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.226 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.226 * [taylor]: Taking taylor expansion of y in x 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.226 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) 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 (/ 1 (pow y 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 0.228 * [taylor]: Taking taylor expansion of 1 in y 0.229 * [taylor]: Taking taylor expansion of 0 in y 0.230 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.230 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.231 * [taylor]: Taking taylor expansion of z in y 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.231 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.231 * [taylor]: Taking taylor expansion of y in y 0.232 * [taylor]: Taking taylor expansion of 1 in z 0.232 * [taylor]: Taking taylor expansion of 1 in z 0.234 * [taylor]: Taking taylor expansion of 0 in y 0.235 * [taylor]: Taking taylor expansion of 0 in z 0.235 * [taylor]: Taking taylor expansion of 0 in z 0.235 * [taylor]: Taking taylor expansion of 0 in z 0.238 * [taylor]: Taking taylor expansion of 0 in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.240 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.240 * [taylor]: Taking taylor expansion of z in z 0.240 * [taylor]: Taking taylor expansion of 0 in z 0.240 * [taylor]: Taking taylor expansion of 0 in z 0.241 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.242 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.242 * [taylor]: Taking taylor expansion of x in z 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.242 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.242 * [taylor]: Taking taylor expansion of z in z 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.242 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.242 * [taylor]: Taking taylor expansion of y in z 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.243 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.243 * [taylor]: Taking taylor expansion of x in y 0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.243 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.243 * [taylor]: Taking taylor expansion of z in y 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.243 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.244 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.244 * [taylor]: Taking taylor expansion of z in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.244 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.245 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.245 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.245 * [taylor]: Taking taylor expansion of z in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.245 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.245 * [taylor]: Taking taylor expansion of y in x 0.246 * [taylor]: Taking taylor expansion of 1 in y 0.247 * [taylor]: Taking taylor expansion of 0 in y 0.249 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.249 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.249 * [taylor]: Taking taylor expansion of z in y 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.249 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.249 * [taylor]: Taking taylor expansion of y in y 0.250 * [taylor]: Taking taylor expansion of 1 in z 0.250 * [taylor]: Taking taylor expansion of 1 in z 0.252 * [taylor]: Taking taylor expansion of 0 in y 0.253 * [taylor]: Taking taylor expansion of 0 in z 0.253 * [taylor]: Taking taylor expansion of 0 in z 0.253 * [taylor]: Taking taylor expansion of 0 in z 0.256 * [taylor]: Taking taylor expansion of 0 in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.258 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.258 * [taylor]: Taking taylor expansion of z in z 0.258 * [taylor]: Taking taylor expansion of 0 in z 0.258 * [taylor]: Taking taylor expansion of 0 in z 0.259 * * * [progress]: simplifying candidates 0.260 * [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))) 0.266 * * [simplify]: iteration 0 : 225 enodes (cost 355 ) 0.274 * * [simplify]: iteration 1 : 1043 enodes (cost 323 ) 0.296 * * [simplify]: iteration 2 : 3749 enodes (cost 312 ) 0.371 * * [simplify]: iteration 3 : 5001 enodes (cost 309 ) 0.374 * [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))) 0.375 * * * [progress]: adding candidates to table 0.561 * * [progress]: iteration 2 / 4 0.562 * * * [progress]: picking best candidate 0.570 * * * * [pick]: Picked # 0.570 * * * [progress]: localizing error 0.582 * * * [progress]: generating rewritten candidates 0.582 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.587 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.587 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.593 * * * [progress]: generating series expansions 0.593 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.593 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.593 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.593 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.593 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.593 * [taylor]: Taking taylor expansion of x in y 0.593 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.593 * [taylor]: Taking taylor expansion of y in y 0.594 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.594 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.594 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.594 * [taylor]: Taking taylor expansion of y in x 0.595 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.595 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.595 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.595 * [taylor]: Taking taylor expansion of y in x 0.596 * [taylor]: Taking taylor expansion of y in y 0.596 * [taylor]: Taking taylor expansion of 0 in y 0.597 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.597 * [taylor]: Taking taylor expansion of 1/2 in y 0.598 * [taylor]: Taking taylor expansion of y in y 0.600 * [taylor]: Taking taylor expansion of 0 in y 0.601 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.601 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.601 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.601 * [taylor]: Taking taylor expansion of x in y 0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.601 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.601 * [taylor]: Taking taylor expansion of y in y 0.604 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.604 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.604 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.604 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.604 * [taylor]: Taking taylor expansion of x in x 0.604 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.604 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.604 * [taylor]: Taking taylor expansion of y in x 0.607 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.607 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.607 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.607 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.607 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.607 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.607 * [taylor]: Taking taylor expansion of y in x 0.610 * [taylor]: Taking taylor expansion of 1 in y 0.610 * [taylor]: Taking taylor expansion of 0 in y 0.612 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.612 * [taylor]: Taking taylor expansion of 1/2 in y 0.612 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.612 * [taylor]: Taking taylor expansion of y in y 0.616 * [taylor]: Taking taylor expansion of 0 in y 0.617 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.617 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.617 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.617 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.617 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.617 * [taylor]: Taking taylor expansion of x in y 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.618 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.618 * [taylor]: Taking taylor expansion of y in y 0.620 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.620 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.620 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.621 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.621 * [taylor]: Taking taylor expansion of y in x 0.623 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.623 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.623 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.624 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.624 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.624 * [taylor]: Taking taylor expansion of y in x 0.626 * [taylor]: Taking taylor expansion of 1 in y 0.626 * [taylor]: Taking taylor expansion of 0 in y 0.628 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.628 * [taylor]: Taking taylor expansion of 1/2 in y 0.629 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.629 * [taylor]: Taking taylor expansion of y in y 0.632 * [taylor]: Taking taylor expansion of 0 in y 0.633 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.634 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in (x y z) around 0 0.634 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in z 0.634 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.634 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in z 0.634 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in z 0.634 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 0.634 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 0.634 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.634 * [taylor]: Taking taylor expansion of x in z 0.634 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.634 * [taylor]: Taking taylor expansion of y in z 0.635 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 0.635 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 0.635 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.635 * [taylor]: Taking taylor expansion of x in z 0.635 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.635 * [taylor]: Taking taylor expansion of y in z 0.636 * [taylor]: Taking taylor expansion of (* z z) in z 0.636 * [taylor]: Taking taylor expansion of z in z 0.636 * [taylor]: Taking taylor expansion of z in z 0.638 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in y 0.638 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.638 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in y 0.638 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in y 0.638 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.638 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.638 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.638 * [taylor]: Taking taylor expansion of x in y 0.638 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.638 * [taylor]: Taking taylor expansion of y in y 0.639 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.639 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.639 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.639 * [taylor]: Taking taylor expansion of x in y 0.639 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.639 * [taylor]: Taking taylor expansion of y in y 0.640 * [taylor]: Taking taylor expansion of (* z z) in y 0.640 * [taylor]: Taking taylor expansion of z in y 0.640 * [taylor]: Taking taylor expansion of z in y 0.641 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 0.641 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.641 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 0.641 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 0.641 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.641 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.641 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.641 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.641 * [taylor]: Taking taylor expansion of y in x 0.641 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.641 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.641 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.642 * [taylor]: Taking taylor expansion of y in x 0.642 * [taylor]: Taking taylor expansion of (* z z) in x 0.642 * [taylor]: Taking taylor expansion of z in x 0.642 * [taylor]: Taking taylor expansion of z in x 0.643 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 0.643 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.643 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 0.643 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 0.643 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.643 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.643 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.643 * [taylor]: Taking taylor expansion of y in x 0.644 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.644 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.644 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.644 * [taylor]: Taking taylor expansion of y in x 0.645 * [taylor]: Taking taylor expansion of (* z z) in x 0.645 * [taylor]: Taking taylor expansion of z in x 0.645 * [taylor]: Taking taylor expansion of z in x 0.646 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.646 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.646 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.646 * [taylor]: Taking taylor expansion of y in y 0.646 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.646 * [taylor]: Taking taylor expansion of z in y 0.646 * [taylor]: Taking taylor expansion of z in z 0.646 * [taylor]: Taking taylor expansion of 0 in y 0.646 * [taylor]: Taking taylor expansion of 0 in z 0.646 * [taylor]: Taking taylor expansion of 0 in z 0.651 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.651 * [taylor]: Taking taylor expansion of 1/2 in y 0.651 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.651 * [taylor]: Taking taylor expansion of (/ 1 (+ (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 0.652 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.652 * [taylor]: Taking taylor expansion of 1/2 in z 0.652 * [taylor]: Taking taylor expansion of z in z 0.653 * [taylor]: Taking taylor expansion of 0 in z 0.654 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.654 * [taylor]: Taking taylor expansion of 1/2 in z 0.655 * [taylor]: Taking taylor expansion of z in z 0.656 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in (x y z) around 0 0.656 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in z 0.656 * [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)))) 0.656 * [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 0.656 * [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 0.656 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.656 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.656 * [taylor]: Taking taylor expansion of x in z 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.656 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.656 * [taylor]: Taking taylor expansion of y in z 0.658 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.658 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.658 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.658 * [taylor]: Taking taylor expansion of x in z 0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.658 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.658 * [taylor]: Taking taylor expansion of y in z 0.659 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 0.659 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.659 * [taylor]: Taking taylor expansion of z in z 0.660 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.660 * [taylor]: Taking taylor expansion of z in z 0.663 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in y 0.663 * [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)))) 0.663 * [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 0.663 * [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 0.663 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.663 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.663 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.663 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.663 * [taylor]: Taking taylor expansion of x in y 0.663 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.663 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.663 * [taylor]: Taking taylor expansion of y in y 0.666 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.666 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.666 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.666 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.666 * [taylor]: Taking taylor expansion of x in y 0.666 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.667 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.667 * [taylor]: Taking taylor expansion of y in y 0.669 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 0.669 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.669 * [taylor]: Taking taylor expansion of z in y 0.669 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.669 * [taylor]: Taking taylor expansion of z in y 0.671 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 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 x 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 x 0.671 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.671 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.671 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.671 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.672 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.672 * [taylor]: Taking taylor expansion of y in x 0.674 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.674 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.674 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.674 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.675 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.675 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.675 * [taylor]: Taking taylor expansion of y in x 0.677 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 0.677 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.677 * [taylor]: Taking taylor expansion of z in x 0.677 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.677 * [taylor]: Taking taylor expansion of z in x 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)))) 0.680 * [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 0.680 * [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 0.680 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.680 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.680 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.680 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.680 * [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 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.683 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.683 * [taylor]: Taking taylor expansion of y in x 0.689 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 0.689 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.690 * [taylor]: Taking taylor expansion of z in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.690 * [taylor]: Taking taylor expansion of z in x 0.692 * [taylor]: Taking taylor expansion of 1 in y 0.692 * [taylor]: Taking taylor expansion of 0 in y 0.692 * [taylor]: Taking taylor expansion of 1 in z 0.698 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.698 * [taylor]: Taking taylor expansion of 1/2 in y 0.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.698 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.698 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.698 * [taylor]: Taking taylor expansion of z in y 0.698 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.698 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.698 * [taylor]: Taking taylor expansion of y in y 0.701 * [taylor]: Taking taylor expansion of 0 in z 0.701 * [taylor]: Taking taylor expansion of 0 in z 0.701 * [taylor]: Taking taylor expansion of 0 in z 0.708 * [taylor]: Taking taylor expansion of 0 in y 0.709 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.709 * [taylor]: Taking taylor expansion of 1/2 in z 0.709 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.710 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.710 * [taylor]: Taking taylor expansion of z in z 0.711 * [taylor]: Taking taylor expansion of 0 in z 0.711 * [taylor]: Taking taylor expansion of 0 in z 0.720 * [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 0.720 * [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 0.721 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.721 * [taylor]: Taking taylor expansion of z in y 0.721 * [taylor]: Taking taylor expansion of (+ (* 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 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.721 * [taylor]: Taking taylor expansion of 1/2 in y 0.721 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.721 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.721 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.721 * [taylor]: Taking taylor expansion of z in y 0.721 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.721 * [taylor]: Taking taylor expansion of y in y 0.722 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.722 * [taylor]: Taking taylor expansion of 1/4 in y 0.722 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.722 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.722 * [taylor]: Taking taylor expansion of y in y 0.733 * [taylor]: Taking taylor expansion of 0 in z 0.733 * [taylor]: Taking taylor expansion of 0 in z 0.736 * [taylor]: Taking taylor expansion of 0 in z 0.736 * [taylor]: Taking taylor expansion of 0 in z 0.736 * [taylor]: Taking taylor expansion of 0 in z 0.738 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in (x y z) around 0 0.738 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in z 0.738 * [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)))) 0.738 * [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 0.738 * [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 0.738 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.738 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.738 * [taylor]: Taking taylor expansion of x in z 0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.738 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.738 * [taylor]: Taking taylor expansion of y in z 0.740 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.740 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.740 * [taylor]: Taking taylor expansion of x in z 0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.740 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.740 * [taylor]: Taking taylor expansion of y in z 0.741 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 0.741 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.741 * [taylor]: Taking taylor expansion of -1 in z 0.741 * [taylor]: Taking taylor expansion of z in z 0.742 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.742 * [taylor]: Taking taylor expansion of -1 in z 0.742 * [taylor]: Taking taylor expansion of z in z 0.745 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in y 0.745 * [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)))) 0.746 * [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 0.746 * [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 0.746 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.746 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.746 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.746 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.746 * [taylor]: Taking taylor expansion of x in y 0.746 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.746 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.746 * [taylor]: Taking taylor expansion of y in y 0.749 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.749 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.749 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.749 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.749 * [taylor]: Taking taylor expansion of x in y 0.749 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.749 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.749 * [taylor]: Taking taylor expansion of y in y 0.751 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 0.752 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.752 * [taylor]: Taking taylor expansion of -1 in y 0.752 * [taylor]: Taking taylor expansion of z in y 0.752 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.752 * [taylor]: Taking taylor expansion of -1 in y 0.752 * [taylor]: Taking taylor expansion of z in y 0.754 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 0.754 * [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)))) 0.754 * [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 0.754 * [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 0.754 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.754 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.754 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.754 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.754 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.755 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.755 * [taylor]: Taking taylor expansion of y in x 0.757 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.757 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.757 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.757 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.758 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.758 * [taylor]: Taking taylor expansion of y in x 0.760 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 0.760 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.760 * [taylor]: Taking taylor expansion of -1 in x 0.760 * [taylor]: Taking taylor expansion of z in x 0.760 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.760 * [taylor]: Taking taylor expansion of -1 in x 0.760 * [taylor]: Taking taylor expansion of z in x 0.762 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 0.763 * [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)))) 0.763 * [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 0.763 * [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 0.763 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.763 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.763 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.763 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.763 * [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 0.766 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.766 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.766 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.766 * [taylor]: Taking taylor expansion of x in x 0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.766 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.766 * [taylor]: Taking taylor expansion of y in x 0.769 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 0.769 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.769 * [taylor]: Taking taylor expansion of -1 in x 0.769 * [taylor]: Taking taylor expansion of z in x 0.769 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.769 * [taylor]: Taking taylor expansion of -1 in x 0.769 * [taylor]: Taking taylor expansion of z in x 0.771 * [taylor]: Taking taylor expansion of 1 in y 0.771 * [taylor]: Taking taylor expansion of 0 in y 0.771 * [taylor]: Taking taylor expansion of 1 in z 0.777 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.777 * [taylor]: Taking taylor expansion of 1/2 in y 0.778 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.778 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.778 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.778 * [taylor]: Taking taylor expansion of z in y 0.778 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.778 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.778 * [taylor]: Taking taylor expansion of y in y 0.780 * [taylor]: Taking taylor expansion of 0 in z 0.780 * [taylor]: Taking taylor expansion of 0 in z 0.780 * [taylor]: Taking taylor expansion of 0 in z 0.791 * [taylor]: Taking taylor expansion of 0 in y 0.793 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.793 * [taylor]: Taking taylor expansion of 1/2 in z 0.793 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.793 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.793 * [taylor]: Taking taylor expansion of z in z 0.795 * [taylor]: Taking taylor expansion of 0 in z 0.795 * [taylor]: Taking taylor expansion of 0 in z 0.804 * [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 0.804 * [taylor]: Taking taylor expansion of -1/2 in y 0.804 * [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 0.804 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.804 * [taylor]: Taking taylor expansion of 1/4 in y 0.804 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.804 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.805 * [taylor]: Taking taylor expansion of z in y 0.805 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.805 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.805 * [taylor]: Taking taylor expansion of 1/2 in y 0.805 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.805 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.805 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.805 * [taylor]: Taking taylor expansion of z in y 0.805 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.805 * [taylor]: Taking taylor expansion of y in y 0.805 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.805 * [taylor]: Taking taylor expansion of 1/4 in y 0.805 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.806 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.806 * [taylor]: Taking taylor expansion of y in y 0.817 * [taylor]: Taking taylor expansion of 0 in z 0.817 * [taylor]: Taking taylor expansion of 0 in z 0.820 * [taylor]: Taking taylor expansion of 0 in z 0.820 * [taylor]: Taking taylor expansion of 0 in z 0.820 * [taylor]: Taking taylor expansion of 0 in z 0.822 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.822 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.822 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.822 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.822 * [taylor]: Taking taylor expansion of x in y 0.822 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.822 * [taylor]: Taking taylor expansion of y in y 0.822 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.822 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.822 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.822 * [taylor]: Taking taylor expansion of y in x 0.822 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.822 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.822 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.822 * [taylor]: Taking taylor expansion of y in x 0.823 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.823 * [taylor]: Taking taylor expansion of y in y 0.823 * [taylor]: Taking taylor expansion of 0 in y 0.824 * [taylor]: Taking taylor expansion of 1 in y 0.825 * [taylor]: Taking taylor expansion of 0 in y 0.827 * [taylor]: Taking taylor expansion of 0 in y 0.828 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.828 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.828 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.828 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.828 * [taylor]: Taking taylor expansion of x in y 0.828 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.828 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.828 * [taylor]: Taking taylor expansion of y in y 0.829 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.829 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.829 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.829 * [taylor]: Taking taylor expansion of x in x 0.830 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.830 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.830 * [taylor]: Taking taylor expansion of y in x 0.830 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.830 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.830 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.830 * [taylor]: Taking taylor expansion of x in x 0.830 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.830 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.830 * [taylor]: Taking taylor expansion of y in x 0.831 * [taylor]: Taking taylor expansion of 1 in y 0.832 * [taylor]: Taking taylor expansion of 0 in y 0.833 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.833 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.833 * [taylor]: Taking taylor expansion of y in y 0.836 * [taylor]: Taking taylor expansion of 0 in y 0.839 * [taylor]: Taking taylor expansion of 0 in y 0.840 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.840 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.840 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.840 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.840 * [taylor]: Taking taylor expansion of x 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 0.841 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.841 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.841 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.841 * [taylor]: Taking taylor expansion of x in x 0.842 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.842 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.842 * [taylor]: Taking taylor expansion of y in x 0.842 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.842 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.842 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.842 * [taylor]: Taking taylor expansion of x in x 0.843 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.843 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.843 * [taylor]: Taking taylor expansion of y in x 0.843 * [taylor]: Taking taylor expansion of 1 in y 0.844 * [taylor]: Taking taylor expansion of 0 in y 0.846 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.846 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.846 * [taylor]: Taking taylor expansion of y in y 0.848 * [taylor]: Taking taylor expansion of 0 in y 0.851 * [taylor]: Taking taylor expansion of 0 in y 0.853 * * * [progress]: simplifying candidates 0.853 * [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)) 0.859 * * [simplify]: iteration 0 : 152 enodes (cost 254 ) 0.865 * * [simplify]: iteration 1 : 617 enodes (cost 227 ) 0.877 * * [simplify]: iteration 2 : 1802 enodes (cost 223 ) 0.925 * * [simplify]: iteration 3 : 5002 enodes (cost 221 ) 0.927 * [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)) 0.928 * * * [progress]: adding candidates to table 1.080 * * [progress]: iteration 3 / 4 1.081 * * * [progress]: picking best candidate 1.085 * * * * [pick]: Picked # 1.085 * * * [progress]: localizing error 1.090 * * * [progress]: generating rewritten candidates 1.090 * * * * [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 1.099 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.099 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.099 * [taylor]: Taking taylor expansion of (* x x) in y 1.099 * [taylor]: Taking taylor expansion of x in y 1.099 * [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 1.103 * [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 1.106 * [taylor]: Taking taylor expansion of (* x x) in x 1.106 * [taylor]: Taking taylor expansion of x in x 1.106 * [taylor]: Taking taylor expansion of x in x 1.106 * [taylor]: Taking taylor expansion of (* y y) in x 1.106 * [taylor]: Taking taylor expansion of y in x 1.106 * [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 1.109 * [taylor]: Taking taylor expansion of z in x 1.109 * [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 1.110 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.110 * [taylor]: Taking taylor expansion of y in y 1.110 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.110 * [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 1.117 * [taylor]: Taking taylor expansion of 1/2 in z 1.117 * [taylor]: Taking taylor expansion of z in z 1.117 * [taylor]: Taking taylor expansion of 0 in z 1.119 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.119 * [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 1.121 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 1.121 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.121 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 1.121 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 1.121 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.121 * [taylor]: Taking taylor expansion of x in z 1.121 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.121 * [taylor]: Taking taylor expansion of x in z 1.121 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 1.121 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.121 * [taylor]: Taking taylor expansion of y in z 1.121 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.121 * [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 1.123 * [taylor]: Taking taylor expansion of x in z 1.123 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 1.123 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.123 * [taylor]: Taking taylor expansion of y in z 1.123 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.123 * [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 1.128 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y 1.128 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.128 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y 1.128 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 1.128 * [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 1.129 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.129 * [taylor]: Taking taylor expansion of y in y 1.132 * [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 1.133 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.133 * [taylor]: Taking taylor expansion of y in y 1.136 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 1.136 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.136 * [taylor]: Taking taylor expansion of z in y 1.136 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.136 * [taylor]: Taking taylor expansion of z in y 1.138 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 1.138 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.138 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 1.138 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.138 * [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 1.139 * [taylor]: Taking taylor expansion of x in x 1.139 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.139 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.139 * [taylor]: Taking taylor expansion of y in x 1.139 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.139 * [taylor]: Taking taylor expansion of y in x 1.142 * [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 1.143 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.143 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.143 * [taylor]: Taking taylor expansion of y in x 1.143 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.143 * [taylor]: Taking taylor expansion of y in x 1.146 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.146 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.146 * [taylor]: Taking taylor expansion of z in x 1.146 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.146 * [taylor]: Taking taylor expansion of z in x 1.148 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 1.148 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.148 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 1.148 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.148 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.149 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.149 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.149 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.149 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.149 * [taylor]: Taking taylor expansion of x in x 1.149 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.149 * [taylor]: Taking taylor expansion of x in x 1.149 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.149 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.149 * [taylor]: Taking taylor expansion of y in x 1.149 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.149 * [taylor]: Taking taylor expansion of y in x 1.152 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.152 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.152 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.152 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.152 * [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 1.153 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.153 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.153 * [taylor]: Taking taylor expansion of y in x 1.153 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.153 * [taylor]: Taking taylor expansion of y in x 1.156 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.156 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.156 * [taylor]: Taking taylor expansion of z in x 1.156 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.156 * [taylor]: Taking taylor expansion of z in x 1.158 * [taylor]: Taking taylor expansion of 1 in y 1.158 * [taylor]: Taking taylor expansion of 0 in y 1.158 * [taylor]: Taking taylor expansion of 1 in z 1.166 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.166 * [taylor]: Taking taylor expansion of 1/2 in y 1.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.166 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.166 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.166 * [taylor]: Taking taylor expansion of z in y 1.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.166 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.166 * [taylor]: Taking taylor expansion of y in y 1.169 * [taylor]: Taking taylor expansion of 0 in z 1.169 * [taylor]: Taking taylor expansion of 0 in z 1.169 * [taylor]: Taking taylor expansion of 0 in z 1.176 * [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 1.195 * [taylor]: Taking taylor expansion of -1/2 in y 1.195 * [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 1.195 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.195 * [taylor]: Taking taylor expansion of 1/4 in y 1.195 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.195 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.195 * [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 1.196 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.196 * [taylor]: Taking taylor expansion of 1/4 in y 1.196 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.196 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.196 * [taylor]: Taking taylor expansion of y in y 1.207 * [taylor]: Taking taylor expansion of 0 in z 1.208 * [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 1.210 * [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 1.213 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.213 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 1.213 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 1.213 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.213 * [taylor]: Taking taylor expansion of -1 in z 1.213 * [taylor]: Taking taylor expansion of x in z 1.213 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.213 * [taylor]: Taking taylor expansion of -1 in z 1.213 * [taylor]: Taking taylor expansion of x in z 1.213 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 1.213 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.213 * [taylor]: Taking taylor expansion of -1 in z 1.213 * [taylor]: Taking taylor expansion of y in z 1.213 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.213 * [taylor]: Taking taylor expansion of -1 in z 1.213 * [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 1.215 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 1.215 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.215 * [taylor]: Taking taylor expansion of -1 in z 1.215 * [taylor]: Taking taylor expansion of x in z 1.215 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.215 * [taylor]: Taking taylor expansion of -1 in z 1.215 * [taylor]: Taking taylor expansion of x in z 1.215 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 1.215 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.215 * [taylor]: Taking taylor expansion of -1 in z 1.215 * [taylor]: Taking taylor expansion of y in z 1.215 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.215 * [taylor]: Taking taylor expansion of -1 in z 1.215 * [taylor]: Taking taylor expansion of y in z 1.217 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 1.217 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.217 * [taylor]: Taking taylor expansion of -1 in z 1.217 * [taylor]: Taking taylor expansion of z in z 1.218 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.218 * [taylor]: Taking taylor expansion of -1 in z 1.218 * [taylor]: Taking taylor expansion of z in z 1.221 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y 1.221 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.221 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y 1.222 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y 1.222 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.222 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.222 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.222 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.222 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.222 * [taylor]: Taking taylor expansion of -1 in y 1.222 * [taylor]: Taking taylor expansion of x in y 1.222 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.222 * [taylor]: Taking taylor expansion of -1 in y 1.222 * [taylor]: Taking taylor expansion of x in y 1.222 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.222 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.222 * [taylor]: Taking taylor expansion of -1 in y 1.222 * [taylor]: Taking taylor expansion of y in y 1.222 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.222 * [taylor]: Taking taylor expansion of -1 in y 1.222 * [taylor]: Taking taylor expansion of y in y 1.226 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.226 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.226 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.226 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.226 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.226 * [taylor]: Taking taylor expansion of -1 in y 1.226 * [taylor]: Taking taylor expansion of x in y 1.226 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.226 * [taylor]: Taking taylor expansion of -1 in y 1.226 * [taylor]: Taking taylor expansion of x in y 1.226 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.226 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.226 * [taylor]: Taking taylor expansion of -1 in y 1.226 * [taylor]: Taking taylor expansion of y in y 1.227 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.227 * [taylor]: Taking taylor expansion of -1 in y 1.227 * [taylor]: Taking taylor expansion of y in y 1.230 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 1.230 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.230 * [taylor]: Taking taylor expansion of -1 in y 1.230 * [taylor]: Taking taylor expansion of z in y 1.230 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.230 * [taylor]: Taking taylor expansion of -1 in y 1.230 * [taylor]: Taking taylor expansion of z in y 1.232 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 1.232 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.232 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 1.232 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 1.232 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.233 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.233 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.233 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.233 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.233 * [taylor]: Taking taylor expansion of -1 in x 1.233 * [taylor]: Taking taylor expansion of x in x 1.233 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.233 * [taylor]: Taking taylor expansion of -1 in x 1.233 * [taylor]: Taking taylor expansion of x in x 1.233 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.233 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.233 * [taylor]: Taking taylor expansion of -1 in x 1.233 * [taylor]: Taking taylor expansion of y in x 1.234 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.234 * [taylor]: Taking taylor expansion of -1 in x 1.234 * [taylor]: Taking taylor expansion of y in x 1.236 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.237 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.237 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.237 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.237 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.237 * [taylor]: Taking taylor expansion of -1 in x 1.237 * [taylor]: Taking taylor expansion of x in x 1.237 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.237 * [taylor]: Taking taylor expansion of -1 in x 1.237 * [taylor]: Taking taylor expansion of x in x 1.238 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.238 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.238 * [taylor]: Taking taylor expansion of -1 in x 1.238 * [taylor]: Taking taylor expansion of y in x 1.238 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.238 * [taylor]: Taking taylor expansion of -1 in x 1.238 * [taylor]: Taking taylor expansion of y in x 1.241 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 1.241 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.241 * [taylor]: Taking taylor expansion of -1 in x 1.241 * [taylor]: Taking taylor expansion of z in x 1.241 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.241 * [taylor]: Taking taylor expansion of -1 in x 1.241 * [taylor]: Taking taylor expansion of z in x 1.243 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 1.243 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.243 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 1.243 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 1.243 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.243 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.243 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.243 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.243 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.243 * [taylor]: Taking taylor expansion of -1 in x 1.243 * [taylor]: Taking taylor expansion of x in x 1.244 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.244 * [taylor]: Taking taylor expansion of -1 in x 1.244 * [taylor]: Taking taylor expansion of x in x 1.244 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.244 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.244 * [taylor]: Taking taylor expansion of -1 in x 1.244 * [taylor]: Taking taylor expansion of y in x 1.244 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.244 * [taylor]: Taking taylor expansion of -1 in x 1.244 * [taylor]: Taking taylor expansion of y in x 1.247 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.247 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.248 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.248 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.248 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.248 * [taylor]: Taking taylor expansion of -1 in x 1.248 * [taylor]: Taking taylor expansion of x in x 1.248 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.248 * [taylor]: Taking taylor expansion of -1 in x 1.248 * [taylor]: Taking taylor expansion of x in x 1.248 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.248 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.248 * [taylor]: Taking taylor expansion of -1 in x 1.248 * [taylor]: Taking taylor expansion of y in x 1.248 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.249 * [taylor]: Taking taylor expansion of -1 in x 1.249 * [taylor]: Taking taylor expansion of y in x 1.251 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 1.251 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.252 * [taylor]: Taking taylor expansion of -1 in x 1.252 * [taylor]: Taking taylor expansion of z in x 1.252 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.252 * [taylor]: Taking taylor expansion of -1 in x 1.252 * [taylor]: Taking taylor expansion of z in x 1.254 * [taylor]: Taking taylor expansion of 1 in y 1.254 * [taylor]: Taking taylor expansion of 0 in y 1.254 * [taylor]: Taking taylor expansion of 1 in z 1.261 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.261 * [taylor]: Taking taylor expansion of 1/2 in y 1.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.261 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.261 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.261 * [taylor]: Taking taylor expansion of z in y 1.261 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.261 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.261 * [taylor]: Taking taylor expansion of y in y 1.264 * [taylor]: Taking taylor expansion of 0 in z 1.264 * [taylor]: Taking taylor expansion of 0 in z 1.264 * [taylor]: Taking taylor expansion of 0 in z 1.272 * [taylor]: Taking taylor expansion of 0 in y 1.273 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.273 * [taylor]: Taking taylor expansion of 1/2 in z 1.274 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.274 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.274 * [taylor]: Taking taylor expansion of z in z 1.275 * [taylor]: Taking taylor expansion of 0 in z 1.275 * [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 1.290 * [taylor]: Taking taylor expansion of (+ (* 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 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.290 * [taylor]: Taking taylor expansion of 1/2 in y 1.290 * [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 1.291 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.291 * [taylor]: Taking taylor expansion of 1/4 in y 1.291 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.291 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.291 * [taylor]: Taking taylor expansion of y in y 1.304 * [taylor]: Taking taylor expansion of 0 in z 1.304 * [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 1.309 * [simplify]: Simplifying using # : (expm1 (hypot (hypot x y) z)) (log1p (hypot (hypot x y) z)) (+ (* (hypot x y) (hypot x y)) (* z z)) (log (hypot (hypot x y) z)) (exp (hypot (hypot x y) z)) (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z))) (cbrt (hypot (hypot x y) z)) (* (* (hypot (hypot x y) z) (hypot (hypot x y) z)) (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) z x (* -1 x) 1.313 * * [simplify]: iteration 0 : 24 enodes (cost 41 ) 1.315 * * [simplify]: iteration 1 : 27 enodes (cost 36 ) 1.318 * * [simplify]: iteration 2 : 31 enodes (cost 36 ) 1.321 * * [simplify]: iteration 3 : 36 enodes (cost 36 ) 1.324 * * [simplify]: iteration 4 : 55 enodes (cost 36 ) 1.327 * * [simplify]: iteration 5 : 109 enodes (cost 36 ) 1.334 * * [simplify]: iteration 6 : 515 enodes (cost 36 ) 1.355 * * [simplify]: iteration 7 : 1689 enodes (cost 36 ) 1.433 * * [simplify]: iteration 8 : 5001 enodes (cost 36 ) 1.434 * [simplify]: Simplified to: (expm1 (hypot (hypot x y) z)) (log1p (hypot (hypot x y) z)) (fma (hypot x y) (hypot x y) (* z z)) (log (hypot (hypot x y) z)) (exp (hypot (hypot x y) z)) (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z))) (cbrt (hypot (hypot x y) z)) (pow (hypot (hypot x y) z) 3) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) z x (* -1 x) 1.434 * * * [progress]: adding candidates to table 1.470 * * [progress]: iteration 4 / 4 1.470 * * * [progress]: picking best candidate 1.472 * * * * [pick]: Picked # 1.472 * * * [progress]: localizing error 1.483 * * * [progress]: generating rewritten candidates 1.483 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.490 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 1.491 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 1.494 * * * [progress]: generating series expansions 1.494 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.495 * [approximate]: Taking taylor expansion of (hypot (hypot x y) z) in (x y z) around 0 1.495 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in z 1.495 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.495 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in z 1.495 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z 1.495 * [taylor]: Taking taylor expansion of (hypot x y) in z 1.495 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.495 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 1.495 * [taylor]: Taking taylor expansion of (* x x) in z 1.495 * [taylor]: Taking taylor expansion of x in z 1.495 * [taylor]: Taking taylor expansion of x in z 1.495 * [taylor]: Taking taylor expansion of (* y y) in z 1.495 * [taylor]: Taking taylor expansion of y in z 1.495 * [taylor]: Taking taylor expansion of y in z 1.496 * [taylor]: Taking taylor expansion of (hypot x y) in z 1.497 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.497 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 1.497 * [taylor]: Taking taylor expansion of (* x x) in z 1.497 * [taylor]: Taking taylor expansion of x in z 1.497 * [taylor]: Taking taylor expansion of x in z 1.497 * [taylor]: Taking taylor expansion of (* y y) in z 1.497 * [taylor]: Taking taylor expansion of y in z 1.497 * [taylor]: Taking taylor expansion of y in z 1.498 * [taylor]: Taking taylor expansion of (* z z) in z 1.498 * [taylor]: Taking taylor expansion of z in z 1.498 * [taylor]: Taking taylor expansion of z in z 1.500 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in y 1.500 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.500 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in y 1.500 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y 1.500 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.500 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.500 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.500 * [taylor]: Taking taylor expansion of (* x x) in y 1.500 * [taylor]: Taking taylor expansion of x in y 1.500 * [taylor]: Taking taylor expansion of x in y 1.500 * [taylor]: Taking taylor expansion of (* y y) in y 1.500 * [taylor]: Taking taylor expansion of y in y 1.500 * [taylor]: Taking taylor expansion of y in y 1.502 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.502 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.502 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.502 * [taylor]: Taking taylor expansion of (* x x) in y 1.502 * [taylor]: Taking taylor expansion of x in y 1.502 * [taylor]: Taking taylor expansion of x in y 1.502 * [taylor]: Taking taylor expansion of (* y y) in y 1.502 * [taylor]: Taking taylor expansion of y in y 1.502 * [taylor]: Taking taylor expansion of y in y 1.503 * [taylor]: Taking taylor expansion of (* z z) in y 1.503 * [taylor]: Taking taylor expansion of z in y 1.503 * [taylor]: Taking taylor expansion of z in y 1.504 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 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 x 1.504 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 1.504 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.504 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.504 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.504 * [taylor]: Taking taylor expansion of (* x x) in x 1.504 * [taylor]: Taking taylor expansion of x in x 1.504 * [taylor]: Taking taylor expansion of x in x 1.504 * [taylor]: Taking taylor expansion of (* y y) in x 1.504 * [taylor]: Taking taylor expansion of y in x 1.504 * [taylor]: Taking taylor expansion of y in x 1.506 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.506 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.506 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.506 * [taylor]: Taking taylor expansion of (* x x) in x 1.506 * [taylor]: Taking taylor expansion of x in x 1.506 * [taylor]: Taking taylor expansion of x in x 1.506 * [taylor]: Taking taylor expansion of (* y y) in x 1.506 * [taylor]: Taking taylor expansion of y in x 1.506 * [taylor]: Taking taylor expansion of y in x 1.507 * [taylor]: Taking taylor expansion of (* z z) in x 1.507 * [taylor]: Taking taylor expansion of z in x 1.507 * [taylor]: Taking taylor expansion of z in x 1.508 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 1.508 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.508 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 1.508 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 1.508 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.508 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.508 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.508 * [taylor]: Taking taylor expansion of (* x x) in x 1.508 * [taylor]: Taking taylor expansion of x in x 1.508 * [taylor]: Taking taylor expansion of x in x 1.508 * [taylor]: Taking taylor expansion of (* y y) in x 1.508 * [taylor]: Taking taylor expansion of y in x 1.508 * [taylor]: Taking taylor expansion of y in x 1.510 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.510 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.510 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.510 * [taylor]: Taking taylor expansion of (* x x) in x 1.510 * [taylor]: Taking taylor expansion of x in x 1.510 * [taylor]: Taking taylor expansion of x in x 1.510 * [taylor]: Taking taylor expansion of (* y y) in x 1.510 * [taylor]: Taking taylor expansion of y in x 1.510 * [taylor]: Taking taylor expansion of y in x 1.511 * [taylor]: Taking taylor expansion of (* z z) in x 1.511 * [taylor]: Taking taylor expansion of z in x 1.511 * [taylor]: Taking taylor expansion of z in x 1.512 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 1.512 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.512 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.512 * [taylor]: Taking taylor expansion of y in y 1.512 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.512 * [taylor]: Taking taylor expansion of z in y 1.513 * [taylor]: Taking taylor expansion of z in z 1.513 * [taylor]: Taking taylor expansion of 0 in y 1.513 * [taylor]: Taking taylor expansion of 0 in z 1.513 * [taylor]: Taking taylor expansion of 0 in z 1.518 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 1.518 * [taylor]: Taking taylor expansion of 1/2 in y 1.518 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 1.518 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 1.518 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.518 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.518 * [taylor]: Taking taylor expansion of y in y 1.518 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.518 * [taylor]: Taking taylor expansion of z in y 1.519 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.519 * [taylor]: Taking taylor expansion of 1/2 in z 1.519 * [taylor]: Taking taylor expansion of z in z 1.520 * [taylor]: Taking taylor expansion of 0 in z 1.521 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.521 * [taylor]: Taking taylor expansion of 1/2 in z 1.521 * [taylor]: Taking taylor expansion of z in z 1.523 * [approximate]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in (x y z) around 0 1.523 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in z 1.523 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.523 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in z 1.523 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z 1.523 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 1.523 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.523 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 1.523 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 1.523 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.523 * [taylor]: Taking taylor expansion of x in z 1.523 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.523 * [taylor]: Taking taylor expansion of x in z 1.523 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 1.523 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.523 * [taylor]: Taking taylor expansion of y in z 1.523 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.523 * [taylor]: Taking taylor expansion of y in z 1.525 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 1.525 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.525 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 1.525 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 1.525 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.525 * [taylor]: Taking taylor expansion of x in z 1.525 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.525 * [taylor]: Taking taylor expansion of x in z 1.525 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 1.525 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.525 * [taylor]: Taking taylor expansion of y in z 1.525 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.525 * [taylor]: Taking taylor expansion of y in z 1.526 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 1.526 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.527 * [taylor]: Taking taylor expansion of z in z 1.527 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.527 * [taylor]: Taking taylor expansion of z in z 1.530 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y 1.530 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.530 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y 1.530 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 1.530 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.531 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.531 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.531 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.531 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.531 * [taylor]: Taking taylor expansion of x in y 1.531 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.531 * [taylor]: Taking taylor expansion of x in y 1.531 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.531 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.531 * [taylor]: Taking taylor expansion of y in y 1.531 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.531 * [taylor]: Taking taylor expansion of y in y 1.534 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.534 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.534 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.534 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.534 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.534 * [taylor]: Taking taylor expansion of x in y 1.535 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.535 * [taylor]: Taking taylor expansion of x in y 1.535 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.535 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.535 * [taylor]: Taking taylor expansion of y in y 1.535 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.535 * [taylor]: Taking taylor expansion of y in y 1.538 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 1.538 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.538 * [taylor]: Taking taylor expansion of z in y 1.538 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.538 * [taylor]: Taking taylor expansion of z in y 1.540 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 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 x 1.540 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.540 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.540 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.540 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.540 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.540 * [taylor]: Taking taylor expansion of x in x 1.541 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.541 * [taylor]: Taking taylor expansion of x in x 1.541 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.541 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.541 * [taylor]: Taking taylor expansion of y in x 1.541 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.541 * [taylor]: Taking taylor expansion of y in x 1.544 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.544 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.545 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.545 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.545 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.545 * [taylor]: Taking taylor expansion of x in x 1.545 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.545 * [taylor]: Taking taylor expansion of x in x 1.545 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.545 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.545 * [taylor]: Taking taylor expansion of y in x 1.545 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.545 * [taylor]: Taking taylor expansion of y in x 1.548 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.548 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.548 * [taylor]: Taking taylor expansion of z in x 1.548 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.548 * [taylor]: Taking taylor expansion of z in x 1.550 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 1.550 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.550 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 1.550 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.550 * [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 1.551 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.551 * [taylor]: Taking taylor expansion of x in x 1.551 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.551 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.551 * [taylor]: Taking taylor expansion of y in x 1.551 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.551 * [taylor]: Taking taylor expansion of y in x 1.554 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.554 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.554 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.554 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.555 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.555 * [taylor]: Taking taylor expansion of x in x 1.555 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.555 * [taylor]: Taking taylor expansion of x in x 1.555 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.555 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.555 * [taylor]: Taking taylor expansion of y in x 1.555 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.555 * [taylor]: Taking taylor expansion of y in x 1.558 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.558 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.558 * [taylor]: Taking taylor expansion of z in x 1.558 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.558 * [taylor]: Taking taylor expansion of z in x 1.560 * [taylor]: Taking taylor expansion of 1 in y 1.560 * [taylor]: Taking taylor expansion of 0 in y 1.560 * [taylor]: Taking taylor expansion of 1 in z 1.567 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.568 * [taylor]: Taking taylor expansion of 1/2 in y 1.568 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.568 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.568 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.568 * [taylor]: Taking taylor expansion of z in y 1.568 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.568 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.568 * [taylor]: Taking taylor expansion of y in y 1.570 * [taylor]: Taking taylor expansion of 0 in z 1.570 * [taylor]: Taking taylor expansion of 0 in z 1.570 * [taylor]: Taking taylor expansion of 0 in z 1.577 * [taylor]: Taking taylor expansion of 0 in y 1.583 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.584 * [taylor]: Taking taylor expansion of 1/2 in z 1.584 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.584 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.584 * [taylor]: Taking taylor expansion of z in z 1.586 * [taylor]: Taking taylor expansion of 0 in z 1.586 * [taylor]: Taking taylor expansion of 0 in z 1.596 * [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 1.596 * [taylor]: Taking taylor expansion of -1/2 in y 1.596 * [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 1.596 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.596 * [taylor]: Taking taylor expansion of 1/4 in y 1.596 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.596 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.596 * [taylor]: Taking taylor expansion of z in y 1.597 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.597 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.597 * [taylor]: Taking taylor expansion of 1/2 in y 1.597 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.597 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.597 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.597 * [taylor]: Taking taylor expansion of z in y 1.597 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.597 * [taylor]: Taking taylor expansion of y in y 1.597 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.597 * [taylor]: Taking taylor expansion of 1/4 in y 1.597 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.597 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.597 * [taylor]: Taking taylor expansion of y in y 1.609 * [taylor]: Taking taylor expansion of 0 in z 1.609 * [taylor]: Taking taylor expansion of 0 in z 1.611 * [taylor]: Taking taylor expansion of 0 in z 1.611 * [taylor]: Taking taylor expansion of 0 in z 1.611 * [taylor]: Taking taylor expansion of 0 in z 1.613 * [approximate]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in (x y z) around 0 1.613 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in z 1.614 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.614 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in z 1.614 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z 1.614 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 1.614 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.614 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 1.614 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 1.614 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.614 * [taylor]: Taking taylor expansion of -1 in z 1.614 * [taylor]: Taking taylor expansion of x in z 1.614 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.614 * [taylor]: Taking taylor expansion of -1 in z 1.614 * [taylor]: Taking taylor expansion of x in z 1.614 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 1.614 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.614 * [taylor]: Taking taylor expansion of -1 in z 1.614 * [taylor]: Taking taylor expansion of y in z 1.614 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.614 * [taylor]: Taking taylor expansion of -1 in z 1.614 * [taylor]: Taking taylor expansion of y in z 1.616 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 1.616 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.616 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 1.616 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 1.616 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.616 * [taylor]: Taking taylor expansion of -1 in z 1.616 * [taylor]: Taking taylor expansion of x in z 1.616 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.616 * [taylor]: Taking taylor expansion of -1 in z 1.616 * [taylor]: Taking taylor expansion of x in z 1.616 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 1.616 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.616 * [taylor]: Taking taylor expansion of -1 in z 1.616 * [taylor]: Taking taylor expansion of y in z 1.616 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.616 * [taylor]: Taking taylor expansion of -1 in z 1.616 * [taylor]: Taking taylor expansion of y in z 1.618 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 1.618 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.618 * [taylor]: Taking taylor expansion of -1 in z 1.618 * [taylor]: Taking taylor expansion of z in z 1.618 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.618 * [taylor]: Taking taylor expansion of -1 in z 1.618 * [taylor]: Taking taylor expansion of z in z 1.621 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y 1.622 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.622 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y 1.622 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y 1.622 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.622 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.622 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.622 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.622 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.622 * [taylor]: Taking taylor expansion of -1 in y 1.622 * [taylor]: Taking taylor expansion of x in y 1.622 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.622 * [taylor]: Taking taylor expansion of -1 in y 1.622 * [taylor]: Taking taylor expansion of x in y 1.622 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.622 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.622 * [taylor]: Taking taylor expansion of -1 in y 1.622 * [taylor]: Taking taylor expansion of y in y 1.623 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.623 * [taylor]: Taking taylor expansion of -1 in y 1.623 * [taylor]: Taking taylor expansion of y in y 1.626 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.626 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.626 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.626 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.626 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.626 * [taylor]: Taking taylor expansion of -1 in y 1.626 * [taylor]: Taking taylor expansion of x in y 1.626 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.626 * [taylor]: Taking taylor expansion of -1 in y 1.626 * [taylor]: Taking taylor expansion of x in y 1.626 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.626 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.626 * [taylor]: Taking taylor expansion of -1 in y 1.626 * [taylor]: Taking taylor expansion of y in y 1.627 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.627 * [taylor]: Taking taylor expansion of -1 in y 1.627 * [taylor]: Taking taylor expansion of y in y 1.630 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 1.630 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.630 * [taylor]: Taking taylor expansion of -1 in y 1.630 * [taylor]: Taking taylor expansion of z in y 1.630 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.630 * [taylor]: Taking taylor expansion of -1 in y 1.630 * [taylor]: Taking taylor expansion of z in y 1.632 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 1.632 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.632 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 1.632 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 1.632 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.632 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.632 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.632 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.633 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.633 * [taylor]: Taking taylor expansion of -1 in x 1.633 * [taylor]: Taking taylor expansion of x in x 1.633 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.633 * [taylor]: Taking taylor expansion of -1 in x 1.633 * [taylor]: Taking taylor expansion of x in x 1.633 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.633 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.633 * [taylor]: Taking taylor expansion of -1 in x 1.633 * [taylor]: Taking taylor expansion of y in x 1.633 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.633 * [taylor]: Taking taylor expansion of -1 in x 1.633 * [taylor]: Taking taylor expansion of y in x 1.636 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.636 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.637 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.637 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.637 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.637 * [taylor]: Taking taylor expansion of -1 in x 1.637 * [taylor]: Taking taylor expansion of x in x 1.637 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.637 * [taylor]: Taking taylor expansion of -1 in x 1.637 * [taylor]: Taking taylor expansion of x in x 1.637 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.637 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.637 * [taylor]: Taking taylor expansion of -1 in x 1.637 * [taylor]: Taking taylor expansion of y in x 1.637 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.637 * [taylor]: Taking taylor expansion of -1 in x 1.637 * [taylor]: Taking taylor expansion of y in x 1.640 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 1.640 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.640 * [taylor]: Taking taylor expansion of -1 in x 1.640 * [taylor]: Taking taylor expansion of z in x 1.640 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.640 * [taylor]: Taking taylor expansion of -1 in x 1.641 * [taylor]: Taking taylor expansion of z in x 1.642 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 1.643 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.643 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 1.643 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 1.643 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.643 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.643 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.643 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.643 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.643 * [taylor]: Taking taylor expansion of -1 in x 1.643 * [taylor]: Taking taylor expansion of x in x 1.643 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.643 * [taylor]: Taking taylor expansion of -1 in x 1.643 * [taylor]: Taking taylor expansion of x in x 1.644 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.644 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.644 * [taylor]: Taking taylor expansion of -1 in x 1.644 * [taylor]: Taking taylor expansion of y in x 1.644 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.644 * [taylor]: Taking taylor expansion of -1 in x 1.644 * [taylor]: Taking taylor expansion of y in x 1.647 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.647 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.647 * [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 (* (/ -1 z) (/ -1 z)) in x 1.651 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.651 * [taylor]: Taking taylor expansion of -1 in x 1.651 * [taylor]: Taking taylor expansion of z in x 1.651 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.651 * [taylor]: Taking taylor expansion of -1 in x 1.651 * [taylor]: Taking taylor expansion of z in x 1.653 * [taylor]: Taking taylor expansion of 1 in y 1.653 * [taylor]: Taking taylor expansion of 0 in y 1.653 * [taylor]: Taking taylor expansion of 1 in z 1.660 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.660 * [taylor]: Taking taylor expansion of 1/2 in y 1.660 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.660 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.660 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.660 * [taylor]: Taking taylor expansion of z in y 1.661 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.661 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.661 * [taylor]: Taking taylor expansion of y in y 1.663 * [taylor]: Taking taylor expansion of 0 in z 1.663 * [taylor]: Taking taylor expansion of 0 in z 1.663 * [taylor]: Taking taylor expansion of 0 in z 1.670 * [taylor]: Taking taylor expansion of 0 in y 1.672 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.672 * [taylor]: Taking taylor expansion of 1/2 in z 1.672 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.672 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.672 * [taylor]: Taking taylor expansion of z in z 1.674 * [taylor]: Taking taylor expansion of 0 in z 1.674 * [taylor]: Taking taylor expansion of 0 in z 1.688 * [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 1.688 * [taylor]: Taking taylor expansion of -1/2 in y 1.688 * [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 1.688 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.688 * [taylor]: Taking taylor expansion of 1/4 in y 1.688 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.688 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.688 * [taylor]: Taking taylor expansion of z in y 1.689 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.689 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.689 * [taylor]: Taking taylor expansion of 1/2 in y 1.689 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.689 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.689 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.689 * [taylor]: Taking taylor expansion of z in y 1.689 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.689 * [taylor]: Taking taylor expansion of y in y 1.689 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.689 * [taylor]: Taking taylor expansion of 1/4 in y 1.689 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.689 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.689 * [taylor]: Taking taylor expansion of y in y 1.701 * [taylor]: Taking taylor expansion of 0 in z 1.701 * [taylor]: Taking taylor expansion of 0 in z 1.703 * [taylor]: Taking taylor expansion of 0 in z 1.704 * [taylor]: Taking taylor expansion of 0 in z 1.704 * [taylor]: Taking taylor expansion of 0 in z 1.705 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 1.706 * [approximate]: Taking taylor expansion of (hypot (hypot x y) z) in (x y z) around 0 1.706 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in z 1.706 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.706 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in z 1.706 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z 1.706 * [taylor]: Taking taylor expansion of (hypot x y) in z 1.706 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.706 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 1.706 * [taylor]: Taking taylor expansion of (* x x) in z 1.706 * [taylor]: Taking taylor expansion of x in z 1.706 * [taylor]: Taking taylor expansion of x in z 1.706 * [taylor]: Taking taylor expansion of (* y y) in z 1.706 * [taylor]: Taking taylor expansion of y in z 1.706 * [taylor]: Taking taylor expansion of y in z 1.707 * [taylor]: Taking taylor expansion of (hypot x y) in z 1.707 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.707 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 1.707 * [taylor]: Taking taylor expansion of (* x x) in z 1.707 * [taylor]: Taking taylor expansion of x in z 1.707 * [taylor]: Taking taylor expansion of x in z 1.707 * [taylor]: Taking taylor expansion of (* y y) in z 1.707 * [taylor]: Taking taylor expansion of y in z 1.707 * [taylor]: Taking taylor expansion of y in z 1.708 * [taylor]: Taking taylor expansion of (* z z) in z 1.708 * [taylor]: Taking taylor expansion of z in z 1.708 * [taylor]: Taking taylor expansion of z in z 1.710 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in y 1.710 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.710 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in y 1.710 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y 1.710 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.710 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.710 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.711 * [taylor]: Taking taylor expansion of (* x x) in y 1.711 * [taylor]: Taking taylor expansion of x in y 1.711 * [taylor]: Taking taylor expansion of x in y 1.711 * [taylor]: Taking taylor expansion of (* y y) in y 1.711 * [taylor]: Taking taylor expansion of y in y 1.711 * [taylor]: Taking taylor expansion of y in y 1.712 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.712 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.712 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.712 * [taylor]: Taking taylor expansion of (* x x) in y 1.712 * [taylor]: Taking taylor expansion of x in y 1.712 * [taylor]: Taking taylor expansion of x in y 1.712 * [taylor]: Taking taylor expansion of (* y y) in y 1.712 * [taylor]: Taking taylor expansion of y in y 1.712 * [taylor]: Taking taylor expansion of y in y 1.713 * [taylor]: Taking taylor expansion of (* z z) in y 1.713 * [taylor]: Taking taylor expansion of z in y 1.713 * [taylor]: Taking taylor expansion of z in y 1.714 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 1.714 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.714 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 1.714 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 1.714 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.715 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.715 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.715 * [taylor]: Taking taylor expansion of (* x x) in x 1.715 * [taylor]: Taking taylor expansion of x in x 1.715 * [taylor]: Taking taylor expansion of x in x 1.715 * [taylor]: Taking taylor expansion of (* y y) in x 1.715 * [taylor]: Taking taylor expansion of y in x 1.715 * [taylor]: Taking taylor expansion of y in x 1.716 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.716 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.716 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.716 * [taylor]: Taking taylor expansion of (* x x) in x 1.716 * [taylor]: Taking taylor expansion of x in x 1.716 * [taylor]: Taking taylor expansion of x in x 1.716 * [taylor]: Taking taylor expansion of (* y y) in x 1.716 * [taylor]: Taking taylor expansion of y in x 1.716 * [taylor]: Taking taylor expansion of y in x 1.717 * [taylor]: Taking taylor expansion of (* z z) in x 1.717 * [taylor]: Taking taylor expansion of z in x 1.717 * [taylor]: Taking taylor expansion of z in x 1.718 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 1.718 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.718 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 1.718 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 1.718 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.719 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.719 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.719 * [taylor]: Taking taylor expansion of (* x x) in x 1.719 * [taylor]: Taking taylor expansion of x in x 1.719 * [taylor]: Taking taylor expansion of x in x 1.719 * [taylor]: Taking taylor expansion of (* y y) in x 1.719 * [taylor]: Taking taylor expansion of y in x 1.719 * [taylor]: Taking taylor expansion of y in x 1.720 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.720 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.720 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.720 * [taylor]: Taking taylor expansion of (* x x) in x 1.720 * [taylor]: Taking taylor expansion of x in x 1.720 * [taylor]: Taking taylor expansion of x in x 1.720 * [taylor]: Taking taylor expansion of (* y y) in x 1.720 * [taylor]: Taking taylor expansion of y in x 1.720 * [taylor]: Taking taylor expansion of y in x 1.721 * [taylor]: Taking taylor expansion of (* z z) in x 1.721 * [taylor]: Taking taylor expansion of z in x 1.721 * [taylor]: Taking taylor expansion of z in x 1.722 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 1.722 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.722 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.722 * [taylor]: Taking taylor expansion of y in y 1.722 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.723 * [taylor]: Taking taylor expansion of z in y 1.723 * [taylor]: Taking taylor expansion of z in z 1.723 * [taylor]: Taking taylor expansion of 0 in y 1.723 * [taylor]: Taking taylor expansion of 0 in z 1.723 * [taylor]: Taking taylor expansion of 0 in z 1.728 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 1.728 * [taylor]: Taking taylor expansion of 1/2 in y 1.728 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 1.728 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 1.728 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.728 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.728 * [taylor]: Taking taylor expansion of y in y 1.728 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.728 * [taylor]: Taking taylor expansion of z in y 1.729 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.729 * [taylor]: Taking taylor expansion of 1/2 in z 1.729 * [taylor]: Taking taylor expansion of z in z 1.730 * [taylor]: Taking taylor expansion of 0 in z 1.731 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.731 * [taylor]: Taking taylor expansion of 1/2 in z 1.732 * [taylor]: Taking taylor expansion of z in z 1.733 * [approximate]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in (x y z) around 0 1.733 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in z 1.733 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.733 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in z 1.733 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z 1.733 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 1.733 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.733 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 1.733 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 1.733 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.733 * [taylor]: Taking taylor expansion of x in z 1.733 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.733 * [taylor]: Taking taylor expansion of x in z 1.733 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 1.733 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.733 * [taylor]: Taking taylor expansion of y in z 1.733 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.733 * [taylor]: Taking taylor expansion of y in z 1.735 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 1.735 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.735 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 1.735 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 1.735 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.735 * [taylor]: Taking taylor expansion of x in z 1.735 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.735 * [taylor]: Taking taylor expansion of x in z 1.735 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 1.735 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.735 * [taylor]: Taking taylor expansion of y in z 1.735 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.735 * [taylor]: Taking taylor expansion of y in z 1.736 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 1.737 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.737 * [taylor]: Taking taylor expansion of z in z 1.737 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.737 * [taylor]: Taking taylor expansion of z in z 1.740 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y 1.740 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.740 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y 1.740 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 1.740 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.740 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.740 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.740 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.740 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.740 * [taylor]: Taking taylor expansion of x in y 1.741 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.741 * [taylor]: Taking taylor expansion of x in y 1.741 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.741 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.741 * [taylor]: Taking taylor expansion of y in y 1.741 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.741 * [taylor]: Taking taylor expansion of y in y 1.744 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.744 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.744 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.744 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.744 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.744 * [taylor]: Taking taylor expansion of x in y 1.744 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.745 * [taylor]: Taking taylor expansion of x in y 1.745 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.745 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.745 * [taylor]: Taking taylor expansion of y in y 1.745 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.745 * [taylor]: Taking taylor expansion of y in y 1.748 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 1.748 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.748 * [taylor]: Taking taylor expansion of z in y 1.748 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.748 * [taylor]: Taking taylor expansion of z in y 1.750 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 1.750 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.750 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 1.750 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.751 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.751 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.751 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.751 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.751 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.751 * [taylor]: Taking taylor expansion of x in x 1.751 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.751 * [taylor]: Taking taylor expansion of x in x 1.751 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.751 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.751 * [taylor]: Taking taylor expansion of y in x 1.751 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.751 * [taylor]: Taking taylor expansion of y in x 1.754 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.754 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.754 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.754 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.754 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.754 * [taylor]: Taking taylor expansion of x in x 1.755 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.755 * [taylor]: Taking taylor expansion of x in x 1.755 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.755 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.755 * [taylor]: Taking taylor expansion of y in x 1.755 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.755 * [taylor]: Taking taylor expansion of y in x 1.758 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.758 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.758 * [taylor]: Taking taylor expansion of z in x 1.758 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.758 * [taylor]: Taking taylor expansion of z in x 1.760 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 1.760 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.760 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 1.760 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.760 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.761 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.761 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.761 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.761 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.761 * [taylor]: Taking taylor expansion of x in x 1.761 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.761 * [taylor]: Taking taylor expansion of x in x 1.761 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.761 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.761 * [taylor]: Taking taylor expansion of y in x 1.761 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.761 * [taylor]: Taking taylor expansion of y in x 1.764 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.764 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.764 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.764 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.764 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.764 * [taylor]: Taking taylor expansion of x in x 1.765 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.765 * [taylor]: Taking taylor expansion of x in x 1.765 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.765 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.765 * [taylor]: Taking taylor expansion of y in x 1.765 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.765 * [taylor]: Taking taylor expansion of y in x 1.768 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.768 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.768 * [taylor]: Taking taylor expansion of z in x 1.768 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.768 * [taylor]: Taking taylor expansion of z in x 1.770 * [taylor]: Taking taylor expansion of 1 in y 1.770 * [taylor]: Taking taylor expansion of 0 in y 1.770 * [taylor]: Taking taylor expansion of 1 in z 1.781 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.781 * [taylor]: Taking taylor expansion of 1/2 in y 1.781 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.781 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.781 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.781 * [taylor]: Taking taylor expansion of z in y 1.781 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.781 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.781 * [taylor]: Taking taylor expansion of y in y 1.784 * [taylor]: Taking taylor expansion of 0 in z 1.784 * [taylor]: Taking taylor expansion of 0 in z 1.784 * [taylor]: Taking taylor expansion of 0 in z 1.791 * [taylor]: Taking taylor expansion of 0 in y 1.793 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.793 * [taylor]: Taking taylor expansion of 1/2 in z 1.793 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.793 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.793 * [taylor]: Taking taylor expansion of z in z 1.795 * [taylor]: Taking taylor expansion of 0 in z 1.796 * [taylor]: Taking taylor expansion of 0 in z 1.805 * [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 1.805 * [taylor]: Taking taylor expansion of -1/2 in y 1.805 * [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 1.805 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.805 * [taylor]: Taking taylor expansion of 1/4 in y 1.806 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.806 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.806 * [taylor]: Taking taylor expansion of z in y 1.806 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.806 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.806 * [taylor]: Taking taylor expansion of 1/2 in y 1.806 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.806 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.806 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.806 * [taylor]: Taking taylor expansion of z in y 1.806 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.806 * [taylor]: Taking taylor expansion of y in y 1.806 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.806 * [taylor]: Taking taylor expansion of 1/4 in y 1.806 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.807 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.807 * [taylor]: Taking taylor expansion of y in y 1.818 * [taylor]: Taking taylor expansion of 0 in z 1.818 * [taylor]: Taking taylor expansion of 0 in z 1.821 * [taylor]: Taking taylor expansion of 0 in z 1.821 * [taylor]: Taking taylor expansion of 0 in z 1.821 * [taylor]: Taking taylor expansion of 0 in z 1.823 * [approximate]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in (x y z) around 0 1.823 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in z 1.823 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.823 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in z 1.823 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z 1.823 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 1.823 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.823 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 1.823 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 1.823 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.823 * [taylor]: Taking taylor expansion of -1 in z 1.823 * [taylor]: Taking taylor expansion of x in z 1.823 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.823 * [taylor]: Taking taylor expansion of -1 in z 1.823 * [taylor]: Taking taylor expansion of x in z 1.823 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 1.823 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.823 * [taylor]: Taking taylor expansion of -1 in z 1.823 * [taylor]: Taking taylor expansion of y in z 1.824 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.824 * [taylor]: Taking taylor expansion of -1 in z 1.824 * [taylor]: Taking taylor expansion of y in z 1.825 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 1.825 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.825 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 1.825 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 1.825 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.825 * [taylor]: Taking taylor expansion of -1 in z 1.825 * [taylor]: Taking taylor expansion of x in z 1.825 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.825 * [taylor]: Taking taylor expansion of -1 in z 1.825 * [taylor]: Taking taylor expansion of x in z 1.826 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 1.826 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.826 * [taylor]: Taking taylor expansion of -1 in z 1.826 * [taylor]: Taking taylor expansion of y in z 1.826 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.826 * [taylor]: Taking taylor expansion of -1 in z 1.826 * [taylor]: Taking taylor expansion of y in z 1.827 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 1.827 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.827 * [taylor]: Taking taylor expansion of -1 in z 1.827 * [taylor]: Taking taylor expansion of z in z 1.828 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.828 * [taylor]: Taking taylor expansion of -1 in z 1.828 * [taylor]: Taking taylor expansion of z in z 1.831 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y 1.831 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.831 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y 1.831 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y 1.831 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.831 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.831 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.832 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.832 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.832 * [taylor]: Taking taylor expansion of -1 in y 1.832 * [taylor]: Taking taylor expansion of x in y 1.832 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.832 * [taylor]: Taking taylor expansion of -1 in y 1.832 * [taylor]: Taking taylor expansion of x in y 1.832 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.832 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.832 * [taylor]: Taking taylor expansion of -1 in y 1.832 * [taylor]: Taking taylor expansion of y in y 1.832 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.832 * [taylor]: Taking taylor expansion of -1 in y 1.832 * [taylor]: Taking taylor expansion of y in y 1.835 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.836 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.836 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.836 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.836 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.836 * [taylor]: Taking taylor expansion of -1 in y 1.836 * [taylor]: Taking taylor expansion of x in y 1.836 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.836 * [taylor]: Taking taylor expansion of -1 in y 1.836 * [taylor]: Taking taylor expansion of x in y 1.836 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.836 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.836 * [taylor]: Taking taylor expansion of -1 in y 1.836 * [taylor]: Taking taylor expansion of y in y 1.836 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.836 * [taylor]: Taking taylor expansion of -1 in y 1.836 * [taylor]: Taking taylor expansion of y in y 1.840 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 1.840 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.840 * [taylor]: Taking taylor expansion of -1 in y 1.840 * [taylor]: Taking taylor expansion of z in y 1.840 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.840 * [taylor]: Taking taylor expansion of -1 in y 1.840 * [taylor]: Taking taylor expansion of z in y 1.842 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 1.842 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.842 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 1.842 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 1.842 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.842 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.842 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.842 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.842 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.842 * [taylor]: Taking taylor expansion of -1 in x 1.842 * [taylor]: Taking taylor expansion of x in x 1.843 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.843 * [taylor]: Taking taylor expansion of -1 in x 1.843 * [taylor]: Taking taylor expansion of x in x 1.843 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.843 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.843 * [taylor]: Taking taylor expansion of -1 in x 1.843 * [taylor]: Taking taylor expansion of y in x 1.843 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.843 * [taylor]: Taking taylor expansion of -1 in x 1.843 * [taylor]: Taking taylor expansion of y in x 1.846 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.846 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.847 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.847 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.847 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.847 * [taylor]: Taking taylor expansion of -1 in x 1.847 * [taylor]: Taking taylor expansion of x in x 1.847 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.847 * [taylor]: Taking taylor expansion of -1 in x 1.847 * [taylor]: Taking taylor expansion of x in x 1.847 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.847 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.847 * [taylor]: Taking taylor expansion of -1 in x 1.847 * [taylor]: Taking taylor expansion of y in x 1.847 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.847 * [taylor]: Taking taylor expansion of -1 in x 1.848 * [taylor]: Taking taylor expansion of y in x 1.850 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 1.850 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.850 * [taylor]: Taking taylor expansion of -1 in x 1.850 * [taylor]: Taking taylor expansion of z in x 1.851 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.851 * [taylor]: Taking taylor expansion of -1 in x 1.851 * [taylor]: Taking taylor expansion of z in x 1.852 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 1.853 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.853 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 1.853 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 1.853 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.853 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.853 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.853 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.853 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.853 * [taylor]: Taking taylor expansion of -1 in x 1.853 * [taylor]: Taking taylor expansion of x in x 1.853 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.853 * [taylor]: Taking taylor expansion of -1 in x 1.853 * [taylor]: Taking taylor expansion of x in x 1.854 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.854 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.854 * [taylor]: Taking taylor expansion of -1 in x 1.854 * [taylor]: Taking taylor expansion of y in x 1.854 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.854 * [taylor]: Taking taylor expansion of -1 in x 1.854 * [taylor]: Taking taylor expansion of y in x 1.857 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 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 x 1.857 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.857 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.857 * [taylor]: Taking taylor expansion of -1 in x 1.857 * [taylor]: Taking taylor expansion of x in x 1.857 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.857 * [taylor]: Taking taylor expansion of -1 in x 1.857 * [taylor]: Taking taylor expansion of x in x 1.858 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.858 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.858 * [taylor]: Taking taylor expansion of -1 in x 1.858 * [taylor]: Taking taylor expansion of y in x 1.858 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.858 * [taylor]: Taking taylor expansion of -1 in x 1.858 * [taylor]: Taking taylor expansion of y in x 1.861 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 1.861 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.861 * [taylor]: Taking taylor expansion of -1 in x 1.861 * [taylor]: Taking taylor expansion of z in x 1.861 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.861 * [taylor]: Taking taylor expansion of -1 in x 1.861 * [taylor]: Taking taylor expansion of z in x 1.863 * [taylor]: Taking taylor expansion of 1 in y 1.863 * [taylor]: Taking taylor expansion of 0 in y 1.863 * [taylor]: Taking taylor expansion of 1 in z 1.870 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.870 * [taylor]: Taking taylor expansion of 1/2 in y 1.870 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.870 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.870 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.870 * [taylor]: Taking taylor expansion of z in y 1.871 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.871 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.871 * [taylor]: Taking taylor expansion of y in y 1.873 * [taylor]: Taking taylor expansion of 0 in z 1.873 * [taylor]: Taking taylor expansion of 0 in z 1.873 * [taylor]: Taking taylor expansion of 0 in z 1.884 * [taylor]: Taking taylor expansion of 0 in y 1.886 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.886 * [taylor]: Taking taylor expansion of 1/2 in z 1.886 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.886 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.886 * [taylor]: Taking taylor expansion of z in z 1.888 * [taylor]: Taking taylor expansion of 0 in z 1.888 * [taylor]: Taking taylor expansion of 0 in z 1.899 * [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 1.899 * [taylor]: Taking taylor expansion of -1/2 in y 1.899 * [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 1.899 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.899 * [taylor]: Taking taylor expansion of 1/4 in y 1.899 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.899 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.899 * [taylor]: Taking taylor expansion of z in y 1.899 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.900 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.900 * [taylor]: Taking taylor expansion of 1/2 in y 1.900 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.900 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.900 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.900 * [taylor]: Taking taylor expansion of z in y 1.900 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.900 * [taylor]: Taking taylor expansion of y in y 1.900 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.900 * [taylor]: Taking taylor expansion of 1/4 in y 1.900 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.900 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.900 * [taylor]: Taking taylor expansion of y in y 1.912 * [taylor]: Taking taylor expansion of 0 in z 1.912 * [taylor]: Taking taylor expansion of 0 in z 1.914 * [taylor]: Taking taylor expansion of 0 in z 1.914 * [taylor]: Taking taylor expansion of 0 in z 1.914 * [taylor]: Taking taylor expansion of 0 in z 1.916 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 1.916 * [approximate]: Taking taylor expansion of (hypot (hypot x y) z) in (x y z) around 0 1.916 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in z 1.917 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.917 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in z 1.917 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z 1.917 * [taylor]: Taking taylor expansion of (hypot x y) in z 1.917 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.917 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 1.917 * [taylor]: Taking taylor expansion of (* x x) in z 1.917 * [taylor]: Taking taylor expansion of x in z 1.917 * [taylor]: Taking taylor expansion of x in z 1.917 * [taylor]: Taking taylor expansion of (* y y) in z 1.917 * [taylor]: Taking taylor expansion of y in z 1.917 * [taylor]: Taking taylor expansion of y in z 1.918 * [taylor]: Taking taylor expansion of (hypot x y) in z 1.918 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.918 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 1.918 * [taylor]: Taking taylor expansion of (* x x) in z 1.918 * [taylor]: Taking taylor expansion of x in z 1.918 * [taylor]: Taking taylor expansion of x in z 1.918 * [taylor]: Taking taylor expansion of (* y y) in z 1.918 * [taylor]: Taking taylor expansion of y in z 1.918 * [taylor]: Taking taylor expansion of y in z 1.919 * [taylor]: Taking taylor expansion of (* z z) in z 1.919 * [taylor]: Taking taylor expansion of z in z 1.919 * [taylor]: Taking taylor expansion of z in z 1.921 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in y 1.921 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.921 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in y 1.921 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y 1.921 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.921 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.921 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.921 * [taylor]: Taking taylor expansion of (* x x) in y 1.921 * [taylor]: Taking taylor expansion of x in y 1.921 * [taylor]: Taking taylor expansion of x in y 1.921 * [taylor]: Taking taylor expansion of (* y y) in y 1.921 * [taylor]: Taking taylor expansion of y in y 1.921 * [taylor]: Taking taylor expansion of y in y 1.923 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.923 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.923 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.923 * [taylor]: Taking taylor expansion of (* x x) in y 1.923 * [taylor]: Taking taylor expansion of x in y 1.923 * [taylor]: Taking taylor expansion of x in y 1.923 * [taylor]: Taking taylor expansion of (* y y) in y 1.923 * [taylor]: Taking taylor expansion of y in y 1.923 * [taylor]: Taking taylor expansion of y in y 1.924 * [taylor]: Taking taylor expansion of (* z z) in y 1.924 * [taylor]: Taking taylor expansion of z in y 1.924 * [taylor]: Taking taylor expansion of z in y 1.925 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 1.925 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.925 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 1.925 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 1.925 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.925 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.925 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.925 * [taylor]: Taking taylor expansion of (* x x) in x 1.925 * [taylor]: Taking taylor expansion of x in x 1.925 * [taylor]: Taking taylor expansion of x in x 1.925 * [taylor]: Taking taylor expansion of (* y y) in x 1.926 * [taylor]: Taking taylor expansion of y in x 1.926 * [taylor]: Taking taylor expansion of y in x 1.927 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.927 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.927 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.927 * [taylor]: Taking taylor expansion of (* x x) in x 1.927 * [taylor]: Taking taylor expansion of x in x 1.927 * [taylor]: Taking taylor expansion of x in x 1.927 * [taylor]: Taking taylor expansion of (* y y) in x 1.927 * [taylor]: Taking taylor expansion of y in x 1.927 * [taylor]: Taking taylor expansion of y in x 1.928 * [taylor]: Taking taylor expansion of (* z z) in x 1.928 * [taylor]: Taking taylor expansion of z in x 1.928 * [taylor]: Taking taylor expansion of z in x 1.929 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 1.929 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.929 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 1.929 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 1.929 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.929 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.929 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.929 * [taylor]: Taking taylor expansion of (* x x) in x 1.930 * [taylor]: Taking taylor expansion of x in x 1.930 * [taylor]: Taking taylor expansion of x in x 1.930 * [taylor]: Taking taylor expansion of (* y y) in x 1.930 * [taylor]: Taking taylor expansion of y in x 1.930 * [taylor]: Taking taylor expansion of y in x 1.931 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.931 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.931 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.931 * [taylor]: Taking taylor expansion of (* x x) in x 1.931 * [taylor]: Taking taylor expansion of x in x 1.931 * [taylor]: Taking taylor expansion of x in x 1.931 * [taylor]: Taking taylor expansion of (* y y) in x 1.931 * [taylor]: Taking taylor expansion of y in x 1.931 * [taylor]: Taking taylor expansion of y in x 1.932 * [taylor]: Taking taylor expansion of (* z z) in x 1.932 * [taylor]: Taking taylor expansion of z in x 1.932 * [taylor]: Taking taylor expansion of z in x 1.933 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 1.933 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.933 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.933 * [taylor]: Taking taylor expansion of y in y 1.933 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.933 * [taylor]: Taking taylor expansion of z in y 1.934 * [taylor]: Taking taylor expansion of z in z 1.934 * [taylor]: Taking taylor expansion of 0 in y 1.934 * [taylor]: Taking taylor expansion of 0 in z 1.934 * [taylor]: Taking taylor expansion of 0 in z 1.939 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 1.939 * [taylor]: Taking taylor expansion of 1/2 in y 1.939 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 1.939 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 1.939 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.939 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.939 * [taylor]: Taking taylor expansion of y in y 1.939 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.939 * [taylor]: Taking taylor expansion of z in y 1.940 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.940 * [taylor]: Taking taylor expansion of 1/2 in z 1.940 * [taylor]: Taking taylor expansion of z in z 1.941 * [taylor]: Taking taylor expansion of 0 in z 1.942 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.942 * [taylor]: Taking taylor expansion of 1/2 in z 1.943 * [taylor]: Taking taylor expansion of z in z 1.944 * [approximate]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in (x y z) around 0 1.944 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in z 1.944 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.944 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in z 1.944 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z 1.944 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 1.944 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.944 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 1.944 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 1.944 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.944 * [taylor]: Taking taylor expansion of x in z 1.944 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.944 * [taylor]: Taking taylor expansion of x in z 1.944 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 1.944 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.944 * [taylor]: Taking taylor expansion of y in z 1.944 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.944 * [taylor]: Taking taylor expansion of y in z 1.946 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 1.946 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.946 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 1.946 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 1.946 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.946 * [taylor]: Taking taylor expansion of x in z 1.946 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.946 * [taylor]: Taking taylor expansion of x in z 1.946 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 1.946 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.946 * [taylor]: Taking taylor expansion of y in z 1.946 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.946 * [taylor]: Taking taylor expansion of y in z 1.948 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 1.948 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.948 * [taylor]: Taking taylor expansion of z in z 1.948 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.948 * [taylor]: Taking taylor expansion of z in z 1.951 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y 1.951 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.952 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y 1.952 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 1.952 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.952 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.952 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.952 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.952 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.952 * [taylor]: Taking taylor expansion of x in y 1.952 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.952 * [taylor]: Taking taylor expansion of x in y 1.952 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.952 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.952 * [taylor]: Taking taylor expansion of y in y 1.952 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.952 * [taylor]: Taking taylor expansion of y in y 1.955 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.956 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.956 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.956 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.956 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.956 * [taylor]: Taking taylor expansion of x in y 1.956 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.956 * [taylor]: Taking taylor expansion of x in y 1.956 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.956 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.956 * [taylor]: Taking taylor expansion of y in y 1.956 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.956 * [taylor]: Taking taylor expansion of y in y 1.959 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 1.959 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.959 * [taylor]: Taking taylor expansion of z in y 1.959 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.959 * [taylor]: Taking taylor expansion of z in y 1.961 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 1.961 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.961 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 1.961 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.962 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.962 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.962 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.962 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.962 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.962 * [taylor]: Taking taylor expansion of x in x 1.962 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.962 * [taylor]: Taking taylor expansion of x in x 1.962 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.962 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.962 * [taylor]: Taking taylor expansion of y in x 1.962 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.962 * [taylor]: Taking taylor expansion of y in x 1.965 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.965 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.965 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.965 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.965 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.966 * [taylor]: Taking taylor expansion of x in x 1.966 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.966 * [taylor]: Taking taylor expansion of x in x 1.966 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.966 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.966 * [taylor]: Taking taylor expansion of y in x 1.966 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.966 * [taylor]: Taking taylor expansion of y in x 1.969 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.969 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.969 * [taylor]: Taking taylor expansion of z in x 1.969 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.969 * [taylor]: Taking taylor expansion of z in x 1.971 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 1.971 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.971 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 1.971 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.971 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.972 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.972 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.972 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.972 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.972 * [taylor]: Taking taylor expansion of x in x 1.972 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.972 * [taylor]: Taking taylor expansion of x in x 1.972 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.972 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.972 * [taylor]: Taking taylor expansion of y in x 1.972 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.972 * [taylor]: Taking taylor expansion of y in x 1.975 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.975 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.975 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.975 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.975 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.975 * [taylor]: Taking taylor expansion of x in x 1.976 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.976 * [taylor]: Taking taylor expansion of x in x 1.976 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.976 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.976 * [taylor]: Taking taylor expansion of y in x 1.976 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.976 * [taylor]: Taking taylor expansion of y in x 1.983 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.983 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.983 * [taylor]: Taking taylor expansion of z in x 1.983 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.983 * [taylor]: Taking taylor expansion of z in x 1.985 * [taylor]: Taking taylor expansion of 1 in y 1.985 * [taylor]: Taking taylor expansion of 0 in y 1.985 * [taylor]: Taking taylor expansion of 1 in z 1.993 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.993 * [taylor]: Taking taylor expansion of 1/2 in y 1.993 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.993 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.993 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.993 * [taylor]: Taking taylor expansion of z in y 1.993 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.993 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.993 * [taylor]: Taking taylor expansion of y in y 1.996 * [taylor]: Taking taylor expansion of 0 in z 1.996 * [taylor]: Taking taylor expansion of 0 in z 1.996 * [taylor]: Taking taylor expansion of 0 in z 2.003 * [taylor]: Taking taylor expansion of 0 in y 2.005 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 2.005 * [taylor]: Taking taylor expansion of 1/2 in z 2.005 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 2.005 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.005 * [taylor]: Taking taylor expansion of z in z 2.007 * [taylor]: Taking taylor expansion of 0 in z 2.007 * [taylor]: Taking taylor expansion of 0 in z 2.017 * [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 2.017 * [taylor]: Taking taylor expansion of -1/2 in y 2.017 * [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 2.017 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 2.017 * [taylor]: Taking taylor expansion of 1/4 in y 2.017 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 2.017 * [taylor]: Taking taylor expansion of (pow z 4) in y 2.017 * [taylor]: Taking taylor expansion of z in y 2.018 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 2.018 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 2.018 * [taylor]: Taking taylor expansion of 1/2 in y 2.018 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 2.018 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 2.018 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.018 * [taylor]: Taking taylor expansion of z in y 2.018 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.018 * [taylor]: Taking taylor expansion of y in y 2.018 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 2.018 * [taylor]: Taking taylor expansion of 1/4 in y 2.018 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.018 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.018 * [taylor]: Taking taylor expansion of y in y 2.030 * [taylor]: Taking taylor expansion of 0 in z 2.030 * [taylor]: Taking taylor expansion of 0 in z 2.032 * [taylor]: Taking taylor expansion of 0 in z 2.032 * [taylor]: Taking taylor expansion of 0 in z 2.032 * [taylor]: Taking taylor expansion of 0 in z 2.034 * [approximate]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in (x y z) around 0 2.034 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in z 2.035 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.035 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in z 2.035 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z 2.035 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 2.035 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.035 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 2.035 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 2.035 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.035 * [taylor]: Taking taylor expansion of -1 in z 2.035 * [taylor]: Taking taylor expansion of x in z 2.035 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.035 * [taylor]: Taking taylor expansion of -1 in z 2.035 * [taylor]: Taking taylor expansion of x in z 2.035 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 2.035 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.035 * [taylor]: Taking taylor expansion of -1 in z 2.035 * [taylor]: Taking taylor expansion of y in z 2.035 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.035 * [taylor]: Taking taylor expansion of -1 in z 2.035 * [taylor]: Taking taylor expansion of y in z 2.036 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 2.037 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.037 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 2.037 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 2.037 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.037 * [taylor]: Taking taylor expansion of -1 in z 2.037 * [taylor]: Taking taylor expansion of x in z 2.037 * [taylor]: Taking taylor expansion of (/ -1 x) in z 2.037 * [taylor]: Taking taylor expansion of -1 in z 2.037 * [taylor]: Taking taylor expansion of x in z 2.037 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 2.037 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.037 * [taylor]: Taking taylor expansion of -1 in z 2.037 * [taylor]: Taking taylor expansion of y in z 2.037 * [taylor]: Taking taylor expansion of (/ -1 y) in z 2.037 * [taylor]: Taking taylor expansion of -1 in z 2.037 * [taylor]: Taking taylor expansion of y in z 2.038 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 2.038 * [taylor]: Taking taylor expansion of (/ -1 z) in z 2.038 * [taylor]: Taking taylor expansion of -1 in z 2.038 * [taylor]: Taking taylor expansion of z in z 2.039 * [taylor]: Taking taylor expansion of (/ -1 z) in z 2.039 * [taylor]: Taking taylor expansion of -1 in z 2.039 * [taylor]: Taking taylor expansion of z in z 2.042 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y 2.042 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.042 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y 2.042 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y 2.042 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 2.042 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.043 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 2.043 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.043 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.043 * [taylor]: Taking taylor expansion of -1 in y 2.043 * [taylor]: Taking taylor expansion of x in y 2.043 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.043 * [taylor]: Taking taylor expansion of -1 in y 2.043 * [taylor]: Taking taylor expansion of x in y 2.043 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.043 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.043 * [taylor]: Taking taylor expansion of -1 in y 2.043 * [taylor]: Taking taylor expansion of y in y 2.043 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.043 * [taylor]: Taking taylor expansion of -1 in y 2.043 * [taylor]: Taking taylor expansion of y in y 2.047 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 2.047 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.047 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 2.047 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.047 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.047 * [taylor]: Taking taylor expansion of -1 in y 2.047 * [taylor]: Taking taylor expansion of x in y 2.047 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.047 * [taylor]: Taking taylor expansion of -1 in y 2.047 * [taylor]: Taking taylor expansion of x in y 2.047 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 2.047 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.047 * [taylor]: Taking taylor expansion of -1 in y 2.047 * [taylor]: Taking taylor expansion of y in y 2.048 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.048 * [taylor]: Taking taylor expansion of -1 in y 2.048 * [taylor]: Taking taylor expansion of y in y 2.051 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 2.051 * [taylor]: Taking taylor expansion of (/ -1 z) in y 2.051 * [taylor]: Taking taylor expansion of -1 in y 2.051 * [taylor]: Taking taylor expansion of z in y 2.051 * [taylor]: Taking taylor expansion of (/ -1 z) in y 2.051 * [taylor]: Taking taylor expansion of -1 in y 2.051 * [taylor]: Taking taylor expansion of z in y 2.053 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 2.053 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.053 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 2.053 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 2.053 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.053 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.054 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.054 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.054 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.054 * [taylor]: Taking taylor expansion of -1 in x 2.054 * [taylor]: Taking taylor expansion of x in x 2.054 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.054 * [taylor]: Taking taylor expansion of -1 in x 2.054 * [taylor]: Taking taylor expansion of x in x 2.054 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.054 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.054 * [taylor]: Taking taylor expansion of -1 in x 2.054 * [taylor]: Taking taylor expansion of y in x 2.054 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.054 * [taylor]: Taking taylor expansion of -1 in x 2.054 * [taylor]: Taking taylor expansion of y in x 2.057 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.058 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.058 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.058 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.058 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.058 * [taylor]: Taking taylor expansion of -1 in x 2.058 * [taylor]: Taking taylor expansion of x in x 2.058 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.058 * [taylor]: Taking taylor expansion of -1 in x 2.058 * [taylor]: Taking taylor expansion of x in x 2.058 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.058 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.058 * [taylor]: Taking taylor expansion of -1 in x 2.058 * [taylor]: Taking taylor expansion of y in x 2.059 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.059 * [taylor]: Taking taylor expansion of -1 in x 2.059 * [taylor]: Taking taylor expansion of y in x 2.061 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 2.061 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.062 * [taylor]: Taking taylor expansion of -1 in x 2.062 * [taylor]: Taking taylor expansion of z in x 2.062 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.062 * [taylor]: Taking taylor expansion of -1 in x 2.062 * [taylor]: Taking taylor expansion of z in x 2.064 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 2.064 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 2.064 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 2.064 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 2.064 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.064 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.064 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.064 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.064 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.064 * [taylor]: Taking taylor expansion of -1 in x 2.064 * [taylor]: Taking taylor expansion of x in x 2.064 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.064 * [taylor]: Taking taylor expansion of -1 in x 2.064 * [taylor]: Taking taylor expansion of x in x 2.065 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.065 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.065 * [taylor]: Taking taylor expansion of -1 in x 2.065 * [taylor]: Taking taylor expansion of y in x 2.065 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.065 * [taylor]: Taking taylor expansion of -1 in x 2.065 * [taylor]: Taking taylor expansion of y in x 2.068 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 2.068 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 2.068 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 2.068 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.068 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.068 * [taylor]: Taking taylor expansion of -1 in x 2.068 * [taylor]: Taking taylor expansion of x in x 2.068 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.069 * [taylor]: Taking taylor expansion of -1 in x 2.069 * [taylor]: Taking taylor expansion of x in x 2.069 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 2.069 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.069 * [taylor]: Taking taylor expansion of -1 in x 2.069 * [taylor]: Taking taylor expansion of y in x 2.069 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.069 * [taylor]: Taking taylor expansion of -1 in x 2.069 * [taylor]: Taking taylor expansion of y in x 2.072 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 2.072 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.072 * [taylor]: Taking taylor expansion of -1 in x 2.072 * [taylor]: Taking taylor expansion of z in x 2.072 * [taylor]: Taking taylor expansion of (/ -1 z) in x 2.072 * [taylor]: Taking taylor expansion of -1 in x 2.072 * [taylor]: Taking taylor expansion of z in x 2.074 * [taylor]: Taking taylor expansion of 1 in y 2.074 * [taylor]: Taking taylor expansion of 0 in y 2.074 * [taylor]: Taking taylor expansion of 1 in z 2.085 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 2.086 * [taylor]: Taking taylor expansion of 1/2 in y 2.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 2.086 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 2.086 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.086 * [taylor]: Taking taylor expansion of z in y 2.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.086 * [taylor]: Taking taylor expansion of y in y 2.088 * [taylor]: Taking taylor expansion of 0 in z 2.088 * [taylor]: Taking taylor expansion of 0 in z 2.088 * [taylor]: Taking taylor expansion of 0 in z 2.096 * [taylor]: Taking taylor expansion of 0 in y 2.098 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 2.098 * [taylor]: Taking taylor expansion of 1/2 in z 2.098 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 2.098 * [taylor]: Taking taylor expansion of (pow z 2) in z 2.098 * [taylor]: Taking taylor expansion of z in z 2.100 * [taylor]: Taking taylor expansion of 0 in z 2.100 * [taylor]: Taking taylor expansion of 0 in z 2.110 * [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 2.110 * [taylor]: Taking taylor expansion of -1/2 in y 2.110 * [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 2.110 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 2.110 * [taylor]: Taking taylor expansion of 1/4 in y 2.110 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 2.110 * [taylor]: Taking taylor expansion of (pow z 4) in y 2.110 * [taylor]: Taking taylor expansion of z in y 2.110 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 2.111 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 2.111 * [taylor]: Taking taylor expansion of 1/2 in y 2.111 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 2.111 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 2.111 * [taylor]: Taking taylor expansion of (pow z 2) in y 2.111 * [taylor]: Taking taylor expansion of z in y 2.111 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.111 * [taylor]: Taking taylor expansion of y in y 2.111 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 2.111 * [taylor]: Taking taylor expansion of 1/4 in y 2.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.111 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.111 * [taylor]: Taking taylor expansion of y in y 2.122 * [taylor]: Taking taylor expansion of 0 in z 2.123 * [taylor]: Taking taylor expansion of 0 in z 2.125 * [taylor]: Taking taylor expansion of 0 in z 2.125 * [taylor]: Taking taylor expansion of 0 in z 2.125 * [taylor]: Taking taylor expansion of 0 in z 2.127 * * * [progress]: simplifying candidates 2.128 * [simplify]: Simplifying using # : (expm1 (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)))) (log1p (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot (hypot x y) z) (hypot (hypot x y) z)) (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))) (* (hypot (hypot x y) z) (hypot (hypot x y) z)) (+ 1 1) (+ (log (sqrt (hypot (hypot x y) z))) (log (sqrt (hypot (hypot x y) z)))) (log (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)))) (exp (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)))) (* (* (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))) (sqrt (hypot (hypot x y) z))) (* (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))) (sqrt (hypot (hypot x y) z)))) (* (cbrt (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)))) (cbrt (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))))) (cbrt (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)))) (* (* (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))) (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)))) (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)))) (* (hypot (hypot x y) z) (hypot (hypot x y) z)) (sqrt (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)))) (sqrt (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)))) (* (* (cbrt (sqrt (hypot (hypot x y) z))) (cbrt (sqrt (hypot (hypot x y) z)))) (* (cbrt (sqrt (hypot (hypot x y) z))) (cbrt (sqrt (hypot (hypot x y) z))))) (* (cbrt (sqrt (hypot (hypot x y) z))) (cbrt (sqrt (hypot (hypot x y) z)))) (* (sqrt (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z)))) (sqrt (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z))))) (* (sqrt (cbrt (hypot (hypot x y) z))) (sqrt (cbrt (hypot (hypot x y) z)))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z)))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z)))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z)))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z)))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z)))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z)))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z)))) (* 1 1) (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z)))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z)))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z)))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z)))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z)))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z)))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z)))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot (hypot x y) z)) (* (cbrt (sqrt (hypot (hypot x y) z))) (cbrt (sqrt (hypot (hypot x y) z))))) (* (sqrt (hypot (hypot x y) z)) (sqrt (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z))))) (* (sqrt (hypot (hypot x y) z)) (sqrt (sqrt (hypot (hypot x y) z)))) (* (sqrt (hypot (hypot x y) z)) (sqrt 1)) (* (sqrt (hypot (hypot x y) z)) (sqrt (sqrt (hypot (hypot x y) z)))) (* (sqrt (hypot (hypot x y) z)) 1) (* (cbrt (sqrt (hypot (hypot x y) z))) (sqrt (hypot (hypot x y) z))) (* (sqrt (cbrt (hypot (hypot x y) z))) (sqrt (hypot (hypot x y) z))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (hypot (hypot x y) z))) (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))) (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (hypot (hypot x y) z))) (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))) (expm1 (hypot (hypot x y) z)) (log1p (hypot (hypot x y) z)) (+ (* (hypot x y) (hypot x y)) (* z z)) (log (hypot (hypot x y) z)) (exp (hypot (hypot x y) z)) (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z))) (cbrt (hypot (hypot x y) z)) (* (* (hypot (hypot x y) z) (hypot (hypot x y) z)) (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (expm1 (hypot (hypot x y) z)) (log1p (hypot (hypot x y) z)) (+ (* (hypot x y) (hypot x y)) (* z z)) (log (hypot (hypot x y) z)) (exp (hypot (hypot x y) z)) (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z))) (cbrt (hypot (hypot x y) z)) (* (* (hypot (hypot x y) z) (hypot (hypot x y) z)) (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) z x (* -1 x) z x (* -1 x) z x (* -1 x) 2.134 * * [simplify]: iteration 0 : 104 enodes (cost 318 ) 2.139 * * [simplify]: iteration 1 : 375 enodes (cost 275 ) 2.154 * * [simplify]: iteration 2 : 2208 enodes (cost 261 ) 2.248 * * [simplify]: iteration 3 : 5001 enodes (cost 248 ) 2.250 * [simplify]: Simplified to: (expm1 (hypot (hypot x y) z)) (log1p (hypot (hypot x y) z)) 1 1 2 1 1 (pow (sqrt (hypot (hypot x y) z)) 4) (hypot (hypot x y) z) (pow (sqrt (hypot (hypot x y) z)) 4) 2 (log (hypot (hypot x y) z)) (log (hypot (hypot x y) z)) (exp (hypot (hypot x y) z)) (pow (hypot (hypot x y) z) 3) (pow (sqrt (cbrt (hypot (hypot x y) z))) 4) (cbrt (hypot (hypot x y) z)) (pow (hypot (hypot x y) z) 3) (pow (sqrt (hypot (hypot x y) z)) 4) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (pow (cbrt (sqrt (hypot (hypot x y) z))) 4) (* (cbrt (sqrt (hypot (hypot x y) z))) (cbrt (sqrt (hypot (hypot x y) z)))) (pow (sqrt (cbrt (hypot (hypot x y) z))) 4) (cbrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) 1 (hypot (hypot x y) z) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) 1 (hypot (hypot x y) z) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) 1 2 1 (pow (cbrt (sqrt (hypot (hypot x y) z))) 5) (* (fabs (cbrt (hypot (hypot x y) z))) (sqrt (hypot (hypot x y) z))) (pow (sqrt (sqrt (hypot (hypot x y) z))) 3) (sqrt (hypot (hypot x y) z)) (pow (sqrt (sqrt (hypot (hypot x y) z))) 3) (sqrt (hypot (hypot x y) z)) (pow (cbrt (sqrt (hypot (hypot x y) z))) 4) (* (sqrt (cbrt (hypot (hypot x y) z))) (sqrt (hypot (hypot x y) z))) (pow (sqrt (sqrt (hypot (hypot x y) z))) 3) (hypot (hypot x y) z) (pow (sqrt (sqrt (hypot (hypot x y) z))) 3) (hypot (hypot x y) z) (expm1 (hypot (hypot x y) z)) (log1p (hypot (hypot x y) z)) (fma (hypot x y) (hypot x y) (* z z)) (log (hypot (hypot x y) z)) (exp (hypot (hypot x y) z)) (pow (sqrt (cbrt (hypot (hypot x y) z))) 4) (cbrt (hypot (hypot x y) z)) (pow (hypot (hypot x y) z) 3) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) (expm1 (hypot (hypot x y) z)) (log1p (hypot (hypot x y) z)) (fma (hypot x y) (hypot x y) (* z z)) (log (hypot (hypot x y) z)) (exp (hypot (hypot x y) z)) (pow (sqrt (cbrt (hypot (hypot x y) z))) 4) (cbrt (hypot (hypot x y) z)) (pow (hypot (hypot x y) z) 3) (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)) z x (* -1 x) z x (* -1 x) z x (* -1 x) 2.251 * * * [progress]: adding candidates to table 2.437 * [progress]: [Phase 3 of 3] Extracting. 2.438 * * [regime]: Finding splitpoints for: (# #) 2.438 * * * [regime-changes]: Trying 3 branch expressions: (z y x) 2.438 * * * * [regimes]: Trying to branch on z from (# #) 2.452 * * * * [regimes]: Trying to branch on y from (# #) 2.470 * * * * [regimes]: Trying to branch on x from (# #) 2.485 * * * [regime]: Found split indices: #