10.202 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.021 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.022 * * [simplify]: iteration 1 : 25 enodes (cost 6 ) 0.024 * * [simplify]: iteration 2 : 31 enodes (cost 6 ) 0.025 * * [simplify]: iteration 3 : 32 enodes (cost 6 ) 0.027 * * [simplify]: iteration 4 : 32 enodes (cost 6 ) 0.027 * [simplify]: Simplified to: (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.028 * * [progress]: iteration 1 / 4 0.028 * * * [progress]: picking best candidate 0.030 * * * * [pick]: Picked # 0.030 * * * [progress]: localizing error 0.039 * * * [progress]: generating rewritten candidates 0.039 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.045 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.051 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.061 * * * [progress]: generating series expansions 0.061 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.061 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.061 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.061 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.061 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.061 * [taylor]: Taking taylor expansion of x in z 0.061 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.061 * [taylor]: Taking taylor expansion of y in z 0.061 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.061 * [taylor]: Taking taylor expansion of z in z 0.063 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.063 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.063 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.063 * [taylor]: Taking taylor expansion of z in y 0.065 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.065 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.065 * [taylor]: Taking taylor expansion of z in x 0.066 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.066 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.066 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.066 * [taylor]: Taking taylor expansion of z in x 0.068 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.068 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.068 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.068 * [taylor]: Taking taylor expansion of z in y 0.068 * [taylor]: Taking taylor expansion of z in z 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [taylor]: Taking taylor expansion of 0 in z 0.068 * [taylor]: Taking taylor expansion of 0 in z 0.071 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.071 * [taylor]: Taking taylor expansion of 1/2 in y 0.071 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.071 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.071 * [taylor]: Taking taylor expansion of z in y 0.072 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.072 * [taylor]: Taking taylor expansion of 1/2 in z 0.072 * [taylor]: Taking taylor expansion of z in z 0.073 * [taylor]: Taking taylor expansion of 0 in z 0.074 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.074 * [taylor]: Taking taylor expansion of 1/2 in z 0.074 * [taylor]: Taking taylor expansion of z in z 0.076 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.076 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.076 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.076 * [taylor]: Taking taylor expansion of x in z 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.076 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.076 * [taylor]: Taking taylor expansion of z in z 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.077 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.077 * [taylor]: Taking taylor expansion of y in z 0.081 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.081 * [taylor]: Taking taylor expansion of x in y 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.081 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.081 * [taylor]: Taking taylor expansion of z in y 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.081 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.084 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.085 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.085 * [taylor]: Taking taylor expansion of z in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.087 * [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 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.088 * [taylor]: Taking taylor expansion of z in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of 1 in y 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [taylor]: Taking taylor expansion of 1 in z 0.093 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.093 * [taylor]: Taking taylor expansion of 1/2 in y 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.093 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.093 * [taylor]: Taking taylor expansion of z in y 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.094 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.096 * [taylor]: Taking taylor expansion of 0 in z 0.096 * [taylor]: Taking taylor expansion of 0 in z 0.096 * [taylor]: Taking taylor expansion of 0 in z 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.101 * [taylor]: Taking taylor expansion of 1/2 in z 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.101 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.101 * [taylor]: Taking taylor expansion of z in z 0.102 * [taylor]: Taking taylor expansion of 0 in z 0.102 * [taylor]: Taking taylor expansion of 0 in z 0.106 * [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 0.107 * [taylor]: Taking taylor expansion of -1/2 in y 0.107 * [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 0.107 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.107 * [taylor]: Taking taylor expansion of 1/4 in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.107 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.107 * [taylor]: Taking taylor expansion of z in y 0.107 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.107 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.107 * [taylor]: Taking taylor expansion of 1/2 in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.107 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.107 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.107 * [taylor]: Taking taylor expansion of z in y 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.108 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.108 * [taylor]: Taking taylor expansion of 1/4 in y 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.108 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.108 * [taylor]: Taking taylor expansion of y in y 0.120 * [taylor]: Taking taylor expansion of 0 in z 0.120 * [taylor]: Taking taylor expansion of 0 in z 0.122 * [taylor]: Taking taylor expansion of 0 in z 0.122 * [taylor]: Taking taylor expansion of 0 in z 0.122 * [taylor]: Taking taylor expansion of 0 in z 0.124 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.124 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.124 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.124 * [taylor]: Taking taylor expansion of x in z 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.125 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.125 * [taylor]: Taking taylor expansion of z in z 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.125 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.125 * [taylor]: Taking taylor expansion of y in z 0.128 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.128 * [taylor]: Taking taylor expansion of x in y 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.128 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.128 * [taylor]: Taking taylor expansion of z in y 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.129 * [taylor]: Taking taylor expansion of y in y 0.132 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.132 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.132 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.132 * [taylor]: Taking taylor expansion of z in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.133 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.135 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.135 * [taylor]: Taking taylor expansion of z in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.136 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.136 * [taylor]: Taking taylor expansion of y in x 0.138 * [taylor]: Taking taylor expansion of 1 in y 0.138 * [taylor]: Taking taylor expansion of 0 in y 0.138 * [taylor]: Taking taylor expansion of 1 in z 0.141 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.141 * [taylor]: Taking taylor expansion of 1/2 in y 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.141 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.141 * [taylor]: Taking taylor expansion of z in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.141 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.141 * [taylor]: Taking taylor expansion of y in y 0.143 * [taylor]: Taking taylor expansion of 0 in z 0.143 * [taylor]: Taking taylor expansion of 0 in z 0.143 * [taylor]: Taking taylor expansion of 0 in z 0.146 * [taylor]: Taking taylor expansion of 0 in y 0.148 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.148 * [taylor]: Taking taylor expansion of 1/2 in z 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.148 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.148 * [taylor]: Taking taylor expansion of z in z 0.150 * [taylor]: Taking taylor expansion of 0 in z 0.150 * [taylor]: Taking taylor expansion of 0 in z 0.154 * [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 0.154 * [taylor]: Taking taylor expansion of -1/2 in y 0.154 * [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 0.154 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.154 * [taylor]: Taking taylor expansion of 1/4 in y 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.154 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.154 * [taylor]: Taking taylor expansion of z in y 0.154 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.154 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.154 * [taylor]: Taking taylor expansion of 1/2 in y 0.154 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.154 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.154 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.154 * [taylor]: Taking taylor expansion of z in y 0.154 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.154 * [taylor]: Taking taylor expansion of y in y 0.155 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.155 * [taylor]: Taking taylor expansion of 1/4 in y 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.155 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.155 * [taylor]: Taking taylor expansion of y in y 0.173 * [taylor]: Taking taylor expansion of 0 in z 0.173 * [taylor]: Taking taylor expansion of 0 in z 0.176 * [taylor]: Taking taylor expansion of 0 in z 0.176 * [taylor]: Taking taylor expansion of 0 in z 0.176 * [taylor]: Taking taylor expansion of 0 in z 0.178 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.178 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in (x y z) around 0 0.178 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.178 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.178 * [taylor]: Taking taylor expansion of x in z 0.178 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.178 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.178 * [taylor]: Taking taylor expansion of y in z 0.178 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.178 * [taylor]: Taking taylor expansion of z in z 0.178 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.178 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.178 * [taylor]: Taking taylor expansion of x in y 0.178 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.178 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.178 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.179 * [taylor]: Taking taylor expansion of z in y 0.179 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.179 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.179 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.179 * [taylor]: Taking taylor expansion of y in x 0.179 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.179 * [taylor]: Taking taylor expansion of z in x 0.179 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.179 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.179 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.179 * [taylor]: Taking taylor expansion of y in x 0.179 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.179 * [taylor]: Taking taylor expansion of z in x 0.179 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.179 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.179 * [taylor]: Taking taylor expansion of y in y 0.179 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.179 * [taylor]: Taking taylor expansion of z in y 0.179 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.179 * [taylor]: Taking taylor expansion of z in z 0.180 * [taylor]: Taking taylor expansion of 0 in y 0.180 * [taylor]: Taking taylor expansion of 0 in z 0.181 * [taylor]: Taking taylor expansion of 0 in z 0.182 * [taylor]: Taking taylor expansion of 1 in y 0.182 * [taylor]: Taking taylor expansion of 1 in z 0.182 * [taylor]: Taking taylor expansion of 0 in z 0.183 * [taylor]: Taking taylor expansion of 1 in z 0.184 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.185 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.185 * [taylor]: Taking taylor expansion of x in z 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.185 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.185 * [taylor]: Taking taylor expansion of z in z 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.185 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.185 * [taylor]: Taking taylor expansion of y in z 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.186 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.186 * [taylor]: Taking taylor expansion of x in y 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.186 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.186 * [taylor]: Taking taylor expansion of z in y 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.186 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.186 * [taylor]: Taking taylor expansion of y in y 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.187 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.187 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.187 * [taylor]: Taking taylor expansion of z in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.187 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.187 * [taylor]: Taking taylor expansion of y in x 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.188 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.188 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.188 * [taylor]: Taking taylor expansion of z in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.189 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.189 * [taylor]: Taking taylor expansion of y in x 0.189 * [taylor]: Taking taylor expansion of 1 in y 0.190 * [taylor]: Taking taylor expansion of 0 in y 0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.192 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.192 * [taylor]: Taking taylor expansion of z in y 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.192 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.192 * [taylor]: Taking taylor expansion of y in y 0.193 * [taylor]: Taking taylor expansion of 1 in z 0.193 * [taylor]: Taking taylor expansion of 1 in z 0.195 * [taylor]: Taking taylor expansion of 0 in y 0.196 * [taylor]: Taking taylor expansion of 0 in z 0.196 * [taylor]: Taking taylor expansion of 0 in z 0.197 * [taylor]: Taking taylor expansion of 0 in z 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.201 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.201 * [taylor]: Taking taylor expansion of z in z 0.201 * [taylor]: Taking taylor expansion of 0 in z 0.202 * [taylor]: Taking taylor expansion of 0 in z 0.203 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.203 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.203 * [taylor]: Taking taylor expansion of x in z 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.203 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.203 * [taylor]: Taking taylor expansion of z in z 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.204 * [taylor]: Taking taylor expansion of y in z 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.204 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.204 * [taylor]: Taking taylor expansion of x in y 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.204 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.204 * [taylor]: Taking taylor expansion of z in y 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.204 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.205 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.205 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.205 * [taylor]: Taking taylor expansion of z 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 z 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 z 2)) (/ 1 (pow y 2))) in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.206 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.206 * [taylor]: Taking taylor expansion of z 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 0.207 * [taylor]: Taking taylor expansion of 1 in y 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.210 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.210 * [taylor]: Taking taylor expansion of z 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 0.211 * [taylor]: Taking taylor expansion of 1 in z 0.211 * [taylor]: Taking taylor expansion of 1 in z 0.213 * [taylor]: Taking taylor expansion of 0 in y 0.214 * [taylor]: Taking taylor expansion of 0 in z 0.214 * [taylor]: Taking taylor expansion of 0 in z 0.214 * [taylor]: Taking taylor expansion of 0 in z 0.217 * [taylor]: Taking taylor expansion of 0 in y 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.219 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.219 * [taylor]: Taking taylor expansion of z in z 0.219 * [taylor]: Taking taylor expansion of 0 in z 0.219 * [taylor]: Taking taylor expansion of 0 in z 0.220 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.220 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.220 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.220 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.220 * [taylor]: Taking taylor expansion of x in y 0.220 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.220 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.220 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.220 * [taylor]: Taking taylor expansion of y in x 0.220 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.220 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.220 * [taylor]: Taking taylor expansion of y in x 0.220 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.221 * [taylor]: Taking taylor expansion of y in y 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.222 * [taylor]: Taking taylor expansion of 1 in y 0.223 * [taylor]: Taking taylor expansion of 0 in y 0.225 * [taylor]: Taking taylor expansion of 0 in y 0.226 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.226 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.226 * [taylor]: Taking taylor expansion of x in y 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.226 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.226 * [taylor]: Taking taylor expansion of y in y 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.227 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (/ 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 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.227 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.228 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.229 * [taylor]: Taking taylor expansion of 1 in y 0.230 * [taylor]: Taking taylor expansion of 0 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 0.233 * [taylor]: Taking taylor expansion of 0 in y 0.236 * [taylor]: Taking taylor expansion of 0 in y 0.238 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.238 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.238 * [taylor]: Taking taylor expansion of x in y 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.238 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.239 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.240 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.240 * [taylor]: Taking taylor expansion of y in x 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.240 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.240 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.241 * [taylor]: Taking taylor expansion of y in x 0.241 * [taylor]: Taking taylor expansion of 1 in y 0.242 * [taylor]: Taking taylor expansion of 0 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 0.246 * [taylor]: Taking taylor expansion of 0 in y 0.249 * [taylor]: Taking taylor expansion of 0 in y 0.250 * * * [progress]: simplifying candidates 0.251 * [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)) (* z z))) (log1p (+ (+ (* x x) (* y y)) (* z z))) (* (* (exp (* x x)) (exp (* y y))) (exp (* z z))) (* (exp (+ (* x x) (* y y))) (exp (* z z))) (log (+ (+ (* x x) (* y y)) (* z z))) (exp (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (+ (+ (* x x) (* y y)) (* z z))) (* (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))) (- (+ (* x x) (* y y)) (* z z)) (+ (* y y) (* z z)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) z x (* -1 x) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.256 * * [simplify]: iteration 0 : 225 enodes (cost 355 ) 0.263 * * [simplify]: iteration 1 : 1043 enodes (cost 323 ) 0.283 * * [simplify]: iteration 2 : 3749 enodes (cost 312 ) 0.353 * * [simplify]: iteration 3 : 5001 enodes (cost 309 ) 0.355 * [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)) (* 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)) (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)) z x (* -1 x) (fma x x (fma y y (* z z))) (fma x x (fma y y (* z z))) (fma x x (fma y y (* z z))) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.356 * * * [progress]: adding candidates to table 0.537 * * [progress]: iteration 2 / 4 0.537 * * * [progress]: picking best candidate 0.542 * * * * [pick]: Picked # 0.542 * * * [progress]: localizing error 0.550 * * * [progress]: generating rewritten candidates 0.550 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.554 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.555 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.559 * * * [progress]: generating series expansions 0.559 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.560 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.560 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.560 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.560 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.560 * [taylor]: Taking taylor expansion of x in y 0.560 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.560 * [taylor]: Taking taylor expansion of y in y 0.560 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.560 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.561 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.561 * [taylor]: Taking taylor expansion of y in x 0.561 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.561 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.561 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.561 * [taylor]: Taking taylor expansion of y in x 0.562 * [taylor]: Taking taylor expansion of y in y 0.562 * [taylor]: Taking taylor expansion of 0 in y 0.563 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.563 * [taylor]: Taking taylor expansion of 1/2 in y 0.563 * [taylor]: Taking taylor expansion of y in y 0.565 * [taylor]: Taking taylor expansion of 0 in y 0.566 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.566 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.566 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.566 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.566 * [taylor]: Taking taylor expansion of x in y 0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.566 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.566 * [taylor]: Taking taylor expansion of y in y 0.569 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.569 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.569 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.569 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.569 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.569 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.569 * [taylor]: Taking taylor expansion of y in x 0.571 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.572 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.572 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.572 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.572 * [taylor]: Taking taylor expansion of y in x 0.574 * [taylor]: Taking taylor expansion of 1 in y 0.574 * [taylor]: Taking taylor expansion of 0 in y 0.576 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.576 * [taylor]: Taking taylor expansion of 1/2 in y 0.577 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.577 * [taylor]: Taking taylor expansion of y in y 0.580 * [taylor]: Taking taylor expansion of 0 in y 0.581 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.581 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.581 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.581 * [taylor]: Taking taylor expansion of x in y 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.581 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.582 * [taylor]: Taking taylor expansion of y in y 0.584 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.584 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.584 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.585 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.585 * [taylor]: Taking taylor expansion of y in x 0.587 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.587 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.587 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.587 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.587 * [taylor]: Taking taylor expansion of y in x 0.589 * [taylor]: Taking taylor expansion of 1 in y 0.590 * [taylor]: Taking taylor expansion of 0 in y 0.592 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.592 * [taylor]: Taking taylor expansion of 1/2 in y 0.592 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.592 * [taylor]: Taking taylor expansion of y in y 0.595 * [taylor]: Taking taylor expansion of 0 in y 0.596 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.597 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in (x y z) around 0 0.597 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in z 0.597 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.597 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in z 0.597 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in z 0.597 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 0.597 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 0.597 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.597 * [taylor]: Taking taylor expansion of x in z 0.597 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.597 * [taylor]: Taking taylor expansion of y in z 0.598 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 0.598 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 0.598 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.598 * [taylor]: Taking taylor expansion of x in z 0.598 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.598 * [taylor]: Taking taylor expansion of y in z 0.599 * [taylor]: Taking taylor expansion of (* z z) in z 0.599 * [taylor]: Taking taylor expansion of z in z 0.599 * [taylor]: Taking taylor expansion of z in z 0.601 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in y 0.601 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.601 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in y 0.601 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in y 0.601 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.601 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in y 0.601 * [taylor]: Taking taylor expansion of y in y 0.602 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.602 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.602 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.602 * [taylor]: Taking taylor expansion of x in y 0.602 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.602 * [taylor]: Taking taylor expansion of y in y 0.602 * [taylor]: Taking taylor expansion of (* z z) in y 0.602 * [taylor]: Taking taylor expansion of z in y 0.602 * [taylor]: Taking taylor expansion of z in y 0.603 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 0.603 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.603 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 0.603 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 0.603 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.603 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.603 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.603 * [taylor]: Taking taylor expansion of y in x 0.604 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.604 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in x 0.604 * [taylor]: Taking taylor expansion of y in x 0.605 * [taylor]: Taking taylor expansion of (* z z) in x 0.605 * [taylor]: Taking taylor expansion of z in x 0.605 * [taylor]: Taking taylor expansion of z in x 0.606 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 0.606 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.606 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 0.606 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 0.606 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.606 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.606 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.606 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.606 * [taylor]: Taking taylor expansion of y in x 0.607 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.607 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in x 0.607 * [taylor]: Taking taylor expansion of y in x 0.607 * [taylor]: Taking taylor expansion of (* z z) in x 0.607 * [taylor]: Taking taylor expansion of z in x 0.607 * [taylor]: Taking taylor expansion of z in x 0.608 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.608 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.608 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.608 * [taylor]: Taking taylor expansion of y in y 0.608 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.608 * [taylor]: Taking taylor expansion of z in y 0.609 * [taylor]: Taking taylor expansion of z in z 0.609 * [taylor]: Taking taylor expansion of 0 in y 0.609 * [taylor]: Taking taylor expansion of 0 in z 0.609 * [taylor]: Taking taylor expansion of 0 in z 0.613 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.613 * [taylor]: Taking taylor expansion of 1/2 in y 0.613 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.613 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.614 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.614 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.614 * [taylor]: Taking taylor expansion of y in y 0.614 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.614 * [taylor]: Taking taylor expansion of z in y 0.615 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.615 * [taylor]: Taking taylor expansion of 1/2 in z 0.615 * [taylor]: Taking taylor expansion of z in z 0.616 * [taylor]: Taking taylor expansion of 0 in z 0.617 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.617 * [taylor]: Taking taylor expansion of 1/2 in z 0.617 * [taylor]: Taking taylor expansion of z in z 0.618 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in (x y z) around 0 0.618 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in z 0.618 * [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)))) 0.618 * [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 0.619 * [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 0.619 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.619 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.619 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.619 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.619 * [taylor]: Taking taylor expansion of x in z 0.619 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.619 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.619 * [taylor]: Taking taylor expansion of y in z 0.620 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.620 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.620 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.620 * [taylor]: Taking taylor expansion of x in z 0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.620 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.620 * [taylor]: Taking taylor expansion of y in z 0.622 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 0.622 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.622 * [taylor]: Taking taylor expansion of z in z 0.622 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.622 * [taylor]: Taking taylor expansion of z in z 0.625 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in y 0.625 * [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)))) 0.625 * [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 0.625 * [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 0.625 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.625 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.625 * [taylor]: Taking taylor expansion of x in y 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.625 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.625 * [taylor]: Taking taylor expansion of y in y 0.628 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.628 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.628 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.628 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.628 * [taylor]: Taking taylor expansion of x in y 0.628 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.628 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.628 * [taylor]: Taking taylor expansion of y in y 0.637 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 0.637 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.637 * [taylor]: Taking taylor expansion of z in y 0.637 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.637 * [taylor]: Taking taylor expansion of z in y 0.639 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 0.639 * [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)))) 0.639 * [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 0.639 * [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 0.639 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.639 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.639 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.639 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.640 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.640 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.640 * [taylor]: Taking taylor expansion of y in x 0.642 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.642 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.642 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.642 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.643 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.643 * [taylor]: Taking taylor expansion of y in x 0.645 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 0.645 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.645 * [taylor]: Taking taylor expansion of z in x 0.645 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.645 * [taylor]: Taking taylor expansion of z in x 0.647 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 0.647 * [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)))) 0.647 * [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 0.647 * [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 0.647 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.647 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.647 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.648 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.648 * [taylor]: Taking taylor expansion of y in x 0.650 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.650 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.650 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.651 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.651 * [taylor]: Taking taylor expansion of y in x 0.653 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.653 * [taylor]: Taking taylor expansion of z in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.653 * [taylor]: Taking taylor expansion of z in x 0.656 * [taylor]: Taking taylor expansion of 1 in y 0.656 * [taylor]: Taking taylor expansion of 0 in y 0.656 * [taylor]: Taking taylor expansion of 1 in z 0.662 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.662 * [taylor]: Taking taylor expansion of 1/2 in y 0.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.662 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.662 * [taylor]: Taking taylor expansion of z 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 0.665 * [taylor]: Taking taylor expansion of 0 in z 0.665 * [taylor]: Taking taylor expansion of 0 in z 0.665 * [taylor]: Taking taylor expansion of 0 in z 0.671 * [taylor]: Taking taylor expansion of 0 in y 0.673 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.673 * [taylor]: Taking taylor expansion of 1/2 in z 0.673 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.673 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.673 * [taylor]: Taking taylor expansion of z in z 0.675 * [taylor]: Taking taylor expansion of 0 in z 0.675 * [taylor]: Taking taylor expansion of 0 in z 0.684 * [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 0.684 * [taylor]: Taking taylor expansion of -1/2 in y 0.684 * [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 0.684 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.684 * [taylor]: Taking taylor expansion of 1/4 in y 0.684 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.684 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.684 * [taylor]: Taking taylor expansion of z in y 0.684 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.684 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.684 * [taylor]: Taking taylor expansion of 1/2 in y 0.684 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.684 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.684 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.684 * [taylor]: Taking taylor expansion of z in y 0.685 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.685 * [taylor]: Taking taylor expansion of y in y 0.685 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.685 * [taylor]: Taking taylor expansion of 1/4 in y 0.685 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.685 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.685 * [taylor]: Taking taylor expansion of y in y 0.696 * [taylor]: Taking taylor expansion of 0 in z 0.696 * [taylor]: Taking taylor expansion of 0 in z 0.699 * [taylor]: Taking taylor expansion of 0 in z 0.699 * [taylor]: Taking taylor expansion of 0 in z 0.699 * [taylor]: Taking taylor expansion of 0 in z 0.701 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in (x y z) around 0 0.701 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in z 0.701 * [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)))) 0.701 * [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 0.701 * [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 0.701 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.701 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.701 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.701 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.701 * [taylor]: Taking taylor expansion of x in z 0.701 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.701 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.701 * [taylor]: Taking taylor expansion of y in z 0.703 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.703 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.703 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.703 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.703 * [taylor]: Taking taylor expansion of x in z 0.703 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.703 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.703 * [taylor]: Taking taylor expansion of y in z 0.704 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 0.704 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.704 * [taylor]: Taking taylor expansion of -1 in z 0.704 * [taylor]: Taking taylor expansion of z in z 0.705 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.705 * [taylor]: Taking taylor expansion of -1 in z 0.705 * [taylor]: Taking taylor expansion of z in z 0.708 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in y 0.708 * [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)))) 0.708 * [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 0.708 * [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 0.708 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.708 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.708 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.708 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.708 * [taylor]: Taking taylor expansion of x in y 0.708 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.708 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.708 * [taylor]: Taking taylor expansion of y in y 0.711 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.711 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.711 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.711 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.711 * [taylor]: Taking taylor expansion of x in y 0.711 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.711 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.711 * [taylor]: Taking taylor expansion of y in y 0.714 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 0.714 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.714 * [taylor]: Taking taylor expansion of -1 in y 0.714 * [taylor]: Taking taylor expansion of z in y 0.714 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.714 * [taylor]: Taking taylor expansion of -1 in y 0.714 * [taylor]: Taking taylor expansion of z in y 0.716 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 0.716 * [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)))) 0.716 * [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 0.716 * [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 0.716 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.716 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.716 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.716 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.716 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.717 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.717 * [taylor]: Taking taylor expansion of y in x 0.719 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.719 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.719 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.719 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.719 * [taylor]: Taking taylor expansion of x in x 0.719 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.719 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.719 * [taylor]: Taking taylor expansion of y in x 0.722 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 0.722 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.722 * [taylor]: Taking taylor expansion of -1 in x 0.722 * [taylor]: Taking taylor expansion of z in x 0.722 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.722 * [taylor]: Taking taylor expansion of -1 in x 0.722 * [taylor]: Taking taylor expansion of z in x 0.724 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 0.724 * [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)))) 0.724 * [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 0.724 * [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 0.724 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.724 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.724 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.724 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.724 * [taylor]: Taking taylor expansion of x in x 0.725 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.725 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.725 * [taylor]: Taking taylor expansion of y in x 0.727 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.727 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.727 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.727 * [taylor]: Taking taylor expansion of y in x 0.736 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 0.736 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.736 * [taylor]: Taking taylor expansion of -1 in x 0.736 * [taylor]: Taking taylor expansion of z in x 0.736 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.736 * [taylor]: Taking taylor expansion of -1 in x 0.736 * [taylor]: Taking taylor expansion of z in x 0.738 * [taylor]: Taking taylor expansion of 1 in y 0.738 * [taylor]: Taking taylor expansion of 0 in y 0.738 * [taylor]: Taking taylor expansion of 1 in z 0.744 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.744 * [taylor]: Taking taylor expansion of 1/2 in y 0.744 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.745 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.745 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.745 * [taylor]: Taking taylor expansion of z in y 0.745 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.745 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.745 * [taylor]: Taking taylor expansion of y in y 0.747 * [taylor]: Taking taylor expansion of 0 in z 0.747 * [taylor]: Taking taylor expansion of 0 in z 0.747 * [taylor]: Taking taylor expansion of 0 in z 0.753 * [taylor]: Taking taylor expansion of 0 in y 0.755 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.755 * [taylor]: Taking taylor expansion of 1/2 in z 0.755 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.755 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.755 * [taylor]: Taking taylor expansion of z in z 0.757 * [taylor]: Taking taylor expansion of 0 in z 0.757 * [taylor]: Taking taylor expansion of 0 in z 0.766 * [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 0.766 * [taylor]: Taking taylor expansion of -1/2 in y 0.766 * [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 0.766 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.766 * [taylor]: Taking taylor expansion of 1/4 in y 0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.766 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.766 * [taylor]: Taking taylor expansion of z in y 0.767 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.767 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.767 * [taylor]: Taking taylor expansion of 1/2 in y 0.767 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.767 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.767 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.767 * [taylor]: Taking taylor expansion of z in y 0.767 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.767 * [taylor]: Taking taylor expansion of y in y 0.767 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.767 * [taylor]: Taking taylor expansion of 1/4 in y 0.767 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.767 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.767 * [taylor]: Taking taylor expansion of y in y 0.778 * [taylor]: Taking taylor expansion of 0 in z 0.778 * [taylor]: Taking taylor expansion of 0 in z 0.781 * [taylor]: Taking taylor expansion of 0 in z 0.781 * [taylor]: Taking taylor expansion of 0 in z 0.781 * [taylor]: Taking taylor expansion of 0 in z 0.783 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.783 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.783 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.783 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.783 * [taylor]: Taking taylor expansion of x in y 0.783 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.783 * [taylor]: Taking taylor expansion of y in y 0.783 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.783 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.783 * [taylor]: Taking taylor expansion of x in x 0.783 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.783 * [taylor]: Taking taylor expansion of y in x 0.783 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.783 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.783 * [taylor]: Taking taylor expansion of x in x 0.783 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.783 * [taylor]: Taking taylor expansion of y in x 0.783 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.783 * [taylor]: Taking taylor expansion of y in y 0.784 * [taylor]: Taking taylor expansion of 0 in y 0.785 * [taylor]: Taking taylor expansion of 1 in y 0.786 * [taylor]: Taking taylor expansion of 0 in y 0.788 * [taylor]: Taking taylor expansion of 0 in y 0.788 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.788 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.788 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.788 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.788 * [taylor]: Taking taylor expansion of x in y 0.789 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.789 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.789 * [taylor]: Taking taylor expansion of y in y 0.789 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.789 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.789 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.790 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.790 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.790 * [taylor]: Taking taylor expansion of y in x 0.790 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.790 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.790 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.790 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.790 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.790 * [taylor]: Taking taylor expansion of y in x 0.791 * [taylor]: Taking taylor expansion of 1 in y 0.792 * [taylor]: Taking taylor expansion of 0 in y 0.793 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.793 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.793 * [taylor]: Taking taylor expansion of y in y 0.795 * [taylor]: Taking taylor expansion of 0 in y 0.798 * [taylor]: Taking taylor expansion of 0 in y 0.799 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.799 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.799 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.799 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.799 * [taylor]: Taking taylor expansion of x in y 0.800 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.800 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.800 * [taylor]: Taking taylor expansion of y in y 0.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.800 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.800 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.801 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.801 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.801 * [taylor]: Taking taylor expansion of y in x 0.801 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.801 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.801 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.801 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.801 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.801 * [taylor]: Taking taylor expansion of y in x 0.802 * [taylor]: Taking taylor expansion of 1 in y 0.803 * [taylor]: Taking taylor expansion of 0 in y 0.804 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.804 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.804 * [taylor]: Taking taylor expansion of y in y 0.806 * [taylor]: Taking taylor expansion of 0 in y 0.809 * [taylor]: Taking taylor expansion of 0 in y 0.811 * * * [progress]: simplifying candidates 0.811 * [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)) 0.815 * * [simplify]: iteration 0 : 152 enodes (cost 255 ) 0.819 * * [simplify]: iteration 1 : 617 enodes (cost 227 ) 0.829 * * [simplify]: iteration 2 : 1802 enodes (cost 223 ) 0.870 * * [simplify]: iteration 3 : 5002 enodes (cost 221 ) 0.871 * [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)) 0.872 * * * [progress]: adding candidates to table 1.018 * * [progress]: iteration 3 / 4 1.018 * * * [progress]: picking best candidate 1.019 * * * * [pick]: Picked # 1.020 * * * [progress]: localizing error 1.026 * * * [progress]: generating rewritten candidates 1.026 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.027 * * * [progress]: generating series expansions 1.027 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.027 * [approximate]: Taking taylor expansion of (hypot (hypot x y) z) in (x y z) around 0 1.027 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in z 1.027 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.027 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in z 1.027 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z 1.027 * [taylor]: Taking taylor expansion of (hypot x y) in z 1.027 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.027 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 1.027 * [taylor]: Taking taylor expansion of (* x x) in z 1.027 * [taylor]: Taking taylor expansion of x in z 1.027 * [taylor]: Taking taylor expansion of x in z 1.027 * [taylor]: Taking taylor expansion of (* y y) in z 1.027 * [taylor]: Taking taylor expansion of y in z 1.027 * [taylor]: Taking taylor expansion of y in z 1.028 * [taylor]: Taking taylor expansion of (hypot x y) in z 1.029 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.029 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 1.029 * [taylor]: Taking taylor expansion of (* x x) in z 1.029 * [taylor]: Taking taylor expansion of x in z 1.029 * [taylor]: Taking taylor expansion of x in z 1.029 * [taylor]: Taking taylor expansion of (* y y) in z 1.029 * [taylor]: Taking taylor expansion of y in z 1.029 * [taylor]: Taking taylor expansion of y in z 1.030 * [taylor]: Taking taylor expansion of (* z z) in z 1.030 * [taylor]: Taking taylor expansion of z in z 1.030 * [taylor]: Taking taylor expansion of z in z 1.032 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in y 1.032 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.032 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in y 1.032 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y 1.032 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.032 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.032 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.032 * [taylor]: Taking taylor expansion of (* x x) in y 1.032 * [taylor]: Taking taylor expansion of x in y 1.032 * [taylor]: Taking taylor expansion of x in y 1.032 * [taylor]: Taking taylor expansion of (* y y) in y 1.032 * [taylor]: Taking taylor expansion of y in y 1.032 * [taylor]: Taking taylor expansion of y in y 1.033 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.033 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.034 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.034 * [taylor]: Taking taylor expansion of (* x x) in y 1.034 * [taylor]: Taking taylor expansion of x in y 1.034 * [taylor]: Taking taylor expansion of x in y 1.034 * [taylor]: Taking taylor expansion of (* y y) in y 1.034 * [taylor]: Taking taylor expansion of y in y 1.034 * [taylor]: Taking taylor expansion of y in y 1.035 * [taylor]: Taking taylor expansion of (* z z) in y 1.035 * [taylor]: Taking taylor expansion of z in y 1.035 * [taylor]: Taking taylor expansion of z in y 1.036 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 1.036 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.036 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 1.036 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 1.036 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.036 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.036 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.036 * [taylor]: Taking taylor expansion of (* x x) in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.036 * [taylor]: Taking taylor expansion of (* y y) in x 1.036 * [taylor]: Taking taylor expansion of y in x 1.036 * [taylor]: Taking taylor expansion of y in x 1.037 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.038 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.038 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.038 * [taylor]: Taking taylor expansion of (* x x) in x 1.038 * [taylor]: Taking taylor expansion of x in x 1.038 * [taylor]: Taking taylor expansion of x in x 1.038 * [taylor]: Taking taylor expansion of (* y y) in x 1.038 * [taylor]: Taking taylor expansion of y in x 1.038 * [taylor]: Taking taylor expansion of y in x 1.039 * [taylor]: Taking taylor expansion of (* z z) in x 1.039 * [taylor]: Taking taylor expansion of z in x 1.039 * [taylor]: Taking taylor expansion of z in x 1.040 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 1.040 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.040 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 1.040 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 1.040 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.040 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.040 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.040 * [taylor]: Taking taylor expansion of (* x x) in x 1.040 * [taylor]: Taking taylor expansion of x in x 1.040 * [taylor]: Taking taylor expansion of x in x 1.040 * [taylor]: Taking taylor expansion of (* y y) in x 1.040 * [taylor]: Taking taylor expansion of y in x 1.040 * [taylor]: Taking taylor expansion of y in x 1.042 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.042 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.042 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.042 * [taylor]: Taking taylor expansion of (* x x) in x 1.042 * [taylor]: Taking taylor expansion of x in x 1.042 * [taylor]: Taking taylor expansion of x in x 1.042 * [taylor]: Taking taylor expansion of (* y y) in x 1.042 * [taylor]: Taking taylor expansion of y in x 1.042 * [taylor]: Taking taylor expansion of y in x 1.043 * [taylor]: Taking taylor expansion of (* z z) in x 1.043 * [taylor]: Taking taylor expansion of z in x 1.043 * [taylor]: Taking taylor expansion of z in x 1.044 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 1.044 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.044 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.044 * [taylor]: Taking taylor expansion of y in y 1.044 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.044 * [taylor]: Taking taylor expansion of z in y 1.045 * [taylor]: Taking taylor expansion of z in z 1.045 * [taylor]: Taking taylor expansion of 0 in y 1.045 * [taylor]: Taking taylor expansion of 0 in z 1.045 * [taylor]: Taking taylor expansion of 0 in z 1.049 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 1.050 * [taylor]: Taking taylor expansion of 1/2 in y 1.050 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 1.050 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 1.050 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.050 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.050 * [taylor]: Taking taylor expansion of y in y 1.050 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.050 * [taylor]: Taking taylor expansion of z in y 1.050 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.051 * [taylor]: Taking taylor expansion of 1/2 in z 1.051 * [taylor]: Taking taylor expansion of z in z 1.051 * [taylor]: Taking taylor expansion of 0 in z 1.053 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.053 * [taylor]: Taking taylor expansion of 1/2 in z 1.053 * [taylor]: Taking taylor expansion of z in z 1.054 * [approximate]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in (x y z) around 0 1.054 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in z 1.054 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.054 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in z 1.054 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z 1.054 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 1.054 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.054 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 1.054 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 1.054 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.054 * [taylor]: Taking taylor expansion of x in z 1.054 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.054 * [taylor]: Taking taylor expansion of x in z 1.054 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 1.054 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.054 * [taylor]: Taking taylor expansion of y in z 1.054 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.054 * [taylor]: Taking taylor expansion of y in z 1.056 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 1.056 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.056 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 1.056 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 1.056 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.056 * [taylor]: Taking taylor expansion of x in z 1.056 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.056 * [taylor]: Taking taylor expansion of x in z 1.056 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 1.056 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.056 * [taylor]: Taking taylor expansion of y in z 1.056 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.056 * [taylor]: Taking taylor expansion of y in z 1.058 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 1.058 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.058 * [taylor]: Taking taylor expansion of z in z 1.058 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.058 * [taylor]: Taking taylor expansion of z in z 1.061 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y 1.061 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.061 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y 1.061 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 1.061 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.061 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.061 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.061 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.061 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.061 * [taylor]: Taking taylor expansion of x in y 1.061 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.061 * [taylor]: Taking taylor expansion of x in y 1.061 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.061 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.061 * [taylor]: Taking taylor expansion of y in y 1.062 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.062 * [taylor]: Taking taylor expansion of y in y 1.064 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.064 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.064 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.065 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.065 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.065 * [taylor]: Taking taylor expansion of x in y 1.065 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.065 * [taylor]: Taking taylor expansion of x in y 1.065 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.065 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.065 * [taylor]: Taking taylor expansion of y in y 1.065 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.065 * [taylor]: Taking taylor expansion of y in y 1.068 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 1.068 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.068 * [taylor]: Taking taylor expansion of z in y 1.068 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.068 * [taylor]: Taking taylor expansion of z in y 1.070 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 1.070 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.070 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 1.070 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.070 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.070 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.070 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.070 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.071 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.071 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.071 * [taylor]: Taking taylor expansion of y in x 1.071 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.071 * [taylor]: Taking taylor expansion of y in x 1.073 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.074 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.074 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.074 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.074 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.074 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.074 * [taylor]: Taking taylor expansion of y in x 1.074 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.074 * [taylor]: Taking taylor expansion of y in x 1.077 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.077 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.077 * [taylor]: Taking taylor expansion of z in x 1.077 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.077 * [taylor]: Taking taylor expansion of z in x 1.079 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 1.079 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.079 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 1.079 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.079 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.079 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.079 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.079 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.080 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.080 * [taylor]: Taking taylor expansion of y in x 1.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.080 * [taylor]: Taking taylor expansion of y in x 1.082 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.083 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.083 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.083 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.083 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.083 * [taylor]: Taking taylor expansion of x in x 1.083 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.083 * [taylor]: Taking taylor expansion of x in x 1.083 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.083 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.083 * [taylor]: Taking taylor expansion of y in x 1.083 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.083 * [taylor]: Taking taylor expansion of y in x 1.086 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.086 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.086 * [taylor]: Taking taylor expansion of z in x 1.086 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.086 * [taylor]: Taking taylor expansion of z in x 1.093 * [taylor]: Taking taylor expansion of 1 in y 1.093 * [taylor]: Taking taylor expansion of 0 in y 1.093 * [taylor]: Taking taylor expansion of 1 in z 1.099 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.099 * [taylor]: Taking taylor expansion of 1/2 in y 1.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.099 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.099 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.099 * [taylor]: Taking taylor expansion of z in y 1.100 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.100 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.100 * [taylor]: Taking taylor expansion of y in y 1.102 * [taylor]: Taking taylor expansion of 0 in z 1.102 * [taylor]: Taking taylor expansion of 0 in z 1.102 * [taylor]: Taking taylor expansion of 0 in z 1.108 * [taylor]: Taking taylor expansion of 0 in y 1.110 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.110 * [taylor]: Taking taylor expansion of 1/2 in z 1.110 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.110 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.110 * [taylor]: Taking taylor expansion of z in z 1.112 * [taylor]: Taking taylor expansion of 0 in z 1.112 * [taylor]: Taking taylor expansion of 0 in z 1.121 * [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 1.121 * [taylor]: Taking taylor expansion of -1/2 in y 1.121 * [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 1.121 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.121 * [taylor]: Taking taylor expansion of 1/4 in y 1.121 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.121 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.121 * [taylor]: Taking taylor expansion of z in y 1.121 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.121 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.121 * [taylor]: Taking taylor expansion of 1/2 in y 1.121 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.121 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.121 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.121 * [taylor]: Taking taylor expansion of z in y 1.121 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.121 * [taylor]: Taking taylor expansion of y in y 1.122 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.122 * [taylor]: Taking taylor expansion of 1/4 in y 1.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.122 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.122 * [taylor]: Taking taylor expansion of y in y 1.132 * [taylor]: Taking taylor expansion of 0 in z 1.132 * [taylor]: Taking taylor expansion of 0 in z 1.135 * [taylor]: Taking taylor expansion of 0 in z 1.135 * [taylor]: Taking taylor expansion of 0 in z 1.135 * [taylor]: Taking taylor expansion of 0 in z 1.136 * [approximate]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in (x y z) around 0 1.136 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in z 1.137 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.137 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in z 1.137 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z 1.137 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 1.137 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.137 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 1.137 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 1.137 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.137 * [taylor]: Taking taylor expansion of -1 in z 1.137 * [taylor]: Taking taylor expansion of x in z 1.137 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.137 * [taylor]: Taking taylor expansion of -1 in z 1.137 * [taylor]: Taking taylor expansion of x in z 1.137 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 1.137 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.137 * [taylor]: Taking taylor expansion of -1 in z 1.137 * [taylor]: Taking taylor expansion of y in z 1.137 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.137 * [taylor]: Taking taylor expansion of -1 in z 1.137 * [taylor]: Taking taylor expansion of y in z 1.138 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 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 z 1.138 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 1.138 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.138 * [taylor]: Taking taylor expansion of -1 in z 1.139 * [taylor]: Taking taylor expansion of x in z 1.139 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.139 * [taylor]: Taking taylor expansion of -1 in z 1.139 * [taylor]: Taking taylor expansion of x in z 1.139 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 1.139 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.139 * [taylor]: Taking taylor expansion of -1 in z 1.139 * [taylor]: Taking taylor expansion of y in z 1.139 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.139 * [taylor]: Taking taylor expansion of -1 in z 1.139 * [taylor]: Taking taylor expansion of y in z 1.140 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 1.140 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.140 * [taylor]: Taking taylor expansion of -1 in z 1.140 * [taylor]: Taking taylor expansion of z in z 1.140 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.140 * [taylor]: Taking taylor expansion of -1 in z 1.140 * [taylor]: Taking taylor expansion of z in z 1.143 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y 1.143 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.143 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y 1.143 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y 1.143 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.144 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.144 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.144 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.144 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.144 * [taylor]: Taking taylor expansion of -1 in y 1.144 * [taylor]: Taking taylor expansion of x in y 1.144 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.144 * [taylor]: Taking taylor expansion of -1 in y 1.144 * [taylor]: Taking taylor expansion of x in y 1.144 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.144 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.144 * [taylor]: Taking taylor expansion of -1 in y 1.144 * [taylor]: Taking taylor expansion of y in y 1.144 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.144 * [taylor]: Taking taylor expansion of -1 in y 1.144 * [taylor]: Taking taylor expansion of y in y 1.147 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.147 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.147 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.147 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.147 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.147 * [taylor]: Taking taylor expansion of -1 in y 1.147 * [taylor]: Taking taylor expansion of x in y 1.147 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.147 * [taylor]: Taking taylor expansion of -1 in y 1.147 * [taylor]: Taking taylor expansion of x in y 1.147 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.147 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.147 * [taylor]: Taking taylor expansion of -1 in y 1.147 * [taylor]: Taking taylor expansion of y in y 1.148 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.148 * [taylor]: Taking taylor expansion of -1 in y 1.148 * [taylor]: Taking taylor expansion of y in y 1.151 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 1.151 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.151 * [taylor]: Taking taylor expansion of -1 in y 1.151 * [taylor]: Taking taylor expansion of z in y 1.151 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.151 * [taylor]: Taking taylor expansion of -1 in y 1.151 * [taylor]: Taking taylor expansion of z in y 1.153 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 1.153 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.153 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 1.153 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 1.153 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.153 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.153 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.153 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.153 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.153 * [taylor]: Taking taylor expansion of -1 in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.153 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.153 * [taylor]: Taking taylor expansion of -1 in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.154 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.154 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.154 * [taylor]: Taking taylor expansion of -1 in x 1.154 * [taylor]: Taking taylor expansion of y in x 1.154 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.154 * [taylor]: Taking taylor expansion of -1 in x 1.154 * [taylor]: Taking taylor expansion of y in x 1.156 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.157 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.157 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.157 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.157 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.157 * [taylor]: Taking taylor expansion of -1 in x 1.157 * [taylor]: Taking taylor expansion of x in x 1.157 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.157 * [taylor]: Taking taylor expansion of -1 in x 1.157 * [taylor]: Taking taylor expansion of x in x 1.157 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.157 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.157 * [taylor]: Taking taylor expansion of -1 in x 1.157 * [taylor]: Taking taylor expansion of y in x 1.157 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.157 * [taylor]: Taking taylor expansion of -1 in x 1.158 * [taylor]: Taking taylor expansion of y in x 1.160 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 1.160 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.160 * [taylor]: Taking taylor expansion of -1 in x 1.160 * [taylor]: Taking taylor expansion of z in x 1.161 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.161 * [taylor]: Taking taylor expansion of -1 in x 1.161 * [taylor]: Taking taylor expansion of z in x 1.162 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 1.163 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.163 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 1.163 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 1.163 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.163 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.163 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.163 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.163 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.163 * [taylor]: Taking taylor expansion of -1 in x 1.163 * [taylor]: Taking taylor expansion of x in x 1.163 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.163 * [taylor]: Taking taylor expansion of -1 in x 1.163 * [taylor]: Taking taylor expansion of x in x 1.163 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.163 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.163 * [taylor]: Taking taylor expansion of -1 in x 1.164 * [taylor]: Taking taylor expansion of y in x 1.164 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.164 * [taylor]: Taking taylor expansion of -1 in x 1.164 * [taylor]: Taking taylor expansion of y in x 1.166 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.166 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.166 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.166 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.166 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.166 * [taylor]: Taking taylor expansion of -1 in x 1.166 * [taylor]: Taking taylor expansion of x in x 1.167 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.167 * [taylor]: Taking taylor expansion of -1 in x 1.167 * [taylor]: Taking taylor expansion of x in x 1.167 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.167 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.167 * [taylor]: Taking taylor expansion of -1 in x 1.167 * [taylor]: Taking taylor expansion of y in x 1.167 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.167 * [taylor]: Taking taylor expansion of -1 in x 1.167 * [taylor]: Taking taylor expansion of y in x 1.170 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 1.170 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.170 * [taylor]: Taking taylor expansion of -1 in x 1.170 * [taylor]: Taking taylor expansion of z in x 1.170 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.170 * [taylor]: Taking taylor expansion of -1 in x 1.170 * [taylor]: Taking taylor expansion of z in x 1.172 * [taylor]: Taking taylor expansion of 1 in y 1.172 * [taylor]: Taking taylor expansion of 0 in y 1.172 * [taylor]: Taking taylor expansion of 1 in z 1.184 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.185 * [taylor]: Taking taylor expansion of 1/2 in y 1.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.185 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.185 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.185 * [taylor]: Taking taylor expansion of z in y 1.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.185 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.185 * [taylor]: Taking taylor expansion of y in y 1.187 * [taylor]: Taking taylor expansion of 0 in z 1.187 * [taylor]: Taking taylor expansion of 0 in z 1.187 * [taylor]: Taking taylor expansion of 0 in z 1.194 * [taylor]: Taking taylor expansion of 0 in y 1.195 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.195 * [taylor]: Taking taylor expansion of 1/2 in z 1.195 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.195 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.195 * [taylor]: Taking taylor expansion of z in z 1.197 * [taylor]: Taking taylor expansion of 0 in z 1.197 * [taylor]: Taking taylor expansion of 0 in z 1.206 * [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 1.206 * [taylor]: Taking taylor expansion of -1/2 in y 1.206 * [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 1.206 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.206 * [taylor]: Taking taylor expansion of 1/4 in y 1.206 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.206 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.206 * [taylor]: Taking taylor expansion of z in y 1.207 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.207 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.207 * [taylor]: Taking taylor expansion of 1/2 in y 1.207 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.207 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.207 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.207 * [taylor]: Taking taylor expansion of z in y 1.207 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.207 * [taylor]: Taking taylor expansion of y in y 1.207 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.207 * [taylor]: Taking taylor expansion of 1/4 in y 1.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.207 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.207 * [taylor]: Taking taylor expansion of y in y 1.218 * [taylor]: Taking taylor expansion of 0 in z 1.218 * [taylor]: Taking taylor expansion of 0 in z 1.220 * [taylor]: Taking taylor expansion of 0 in z 1.220 * [taylor]: Taking taylor expansion of 0 in z 1.220 * [taylor]: Taking taylor expansion of 0 in z 1.222 * * * [progress]: simplifying candidates 1.222 * [simplify]: Simplifying using # : (expm1 (hypot (* 1 (hypot x y)) z)) (log1p (hypot (* 1 (hypot x y)) z)) (+ (* (* 1 (hypot x y)) (* 1 (hypot x y))) (* z z)) (log (hypot (* 1 (hypot x y)) z)) (exp (hypot (* 1 (hypot x y)) z)) (* (cbrt (hypot (* 1 (hypot x y)) z)) (cbrt (hypot (* 1 (hypot x y)) z))) (cbrt (hypot (* 1 (hypot x y)) z)) (* (* (hypot (* 1 (hypot x y)) z) (hypot (* 1 (hypot x y)) z)) (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)) z x (* -1 x) 1.225 * * [simplify]: iteration 0 : 36 enodes (cost 55 ) 1.227 * * [simplify]: iteration 1 : 47 enodes (cost 46 ) 1.229 * * [simplify]: iteration 2 : 63 enodes (cost 46 ) 1.231 * * [simplify]: iteration 3 : 116 enodes (cost 46 ) 1.234 * * [simplify]: iteration 4 : 341 enodes (cost 46 ) 1.247 * * [simplify]: iteration 5 : 1395 enodes (cost 46 ) 1.333 * * [simplify]: iteration 6 : 5001 enodes (cost 46 ) 1.333 * [simplify]: Simplified to: (expm1 (hypot (* 1 (hypot x y)) z)) (log1p (hypot (* 1 (hypot x y)) z)) (fma z z (* (hypot x y) (hypot x y))) (log (hypot (* 1 (hypot x y)) z)) (exp (hypot (* 1 (hypot x y)) z)) (* (cbrt (hypot (* 1 (hypot x y)) z)) (cbrt (hypot (* 1 (hypot x y)) z))) (cbrt (hypot (* 1 (hypot x y)) z)) (pow (hypot (* 1 (hypot x y)) z) 3) (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)) z x (* -1 x) 1.333 * * * [progress]: adding candidates to table 1.375 * [progress]: [Phase 3 of 3] Extracting. 1.376 * * [regime]: Finding splitpoints for: (# #) 1.376 * * * [regime-changes]: Trying 9 branch expressions: ((* z z) (* y y) (* x x) (+ (* x x) (* y y)) (+ (+ (* x x) (* y y)) (* z z)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) z y x) 1.376 * * * * [regimes]: Trying to branch on (* z z) from (# #) 1.390 * * * * [regimes]: Trying to branch on (* y y) from (# #) 1.403 * * * * [regimes]: Trying to branch on (* x x) from (# #) 1.419 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 1.432 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (# #) 1.444 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (# #) 1.463 * * * * [regimes]: Trying to branch on z from (# #) 1.476 * * * * [regimes]: Trying to branch on y from (# #) 1.490 * * * * [regimes]: Trying to branch on x from (# #) 1.506 * * * [regime]: Found split indices: #