17.834 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.018 * * [simplify]: iteration 0 : 13 enodes (cost 6 ) 0.019 * * [simplify]: iteration 1 : 20 enodes (cost 6 ) 0.021 * * [simplify]: iteration 2 : 22 enodes (cost 6 ) 0.022 * * [simplify]: iteration 3 : 22 enodes (cost 6 ) 0.022 * [simplify]: Simplified to: (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.034 * * * [progress]: generating rewritten candidates 0.034 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.047 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.050 * * * [progress]: generating series expansions 0.050 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.051 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.051 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.051 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.051 * [taylor]: Taking taylor expansion of x in z 0.051 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.051 * [taylor]: Taking taylor expansion of y in z 0.051 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.051 * [taylor]: Taking taylor expansion of z in z 0.052 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.052 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.052 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.052 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.052 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.052 * [taylor]: Taking taylor expansion of z in y 0.053 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.053 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.053 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.053 * [taylor]: Taking taylor expansion of z in x 0.054 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.054 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.054 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.054 * [taylor]: Taking taylor expansion of z in x 0.056 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.056 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.056 * [taylor]: Taking taylor expansion of z in y 0.056 * [taylor]: Taking taylor expansion of z in z 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [taylor]: Taking taylor expansion of 0 in z 0.056 * [taylor]: Taking taylor expansion of 0 in z 0.058 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.058 * [taylor]: Taking taylor expansion of 1/2 in y 0.058 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.058 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.058 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.058 * [taylor]: Taking taylor expansion of z in y 0.059 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.059 * [taylor]: Taking taylor expansion of 1/2 in z 0.059 * [taylor]: Taking taylor expansion of z in z 0.060 * [taylor]: Taking taylor expansion of 0 in z 0.061 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.061 * [taylor]: Taking taylor expansion of 1/2 in z 0.061 * [taylor]: Taking taylor expansion of z in z 0.062 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.062 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.062 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.062 * [taylor]: Taking taylor expansion of x in z 0.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.062 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.062 * [taylor]: Taking taylor expansion of z in z 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.063 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.063 * [taylor]: Taking taylor expansion of y in z 0.065 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.065 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.065 * [taylor]: Taking taylor expansion of x in y 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.065 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.065 * [taylor]: Taking taylor expansion of z in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.069 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.069 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.069 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.069 * [taylor]: Taking taylor expansion of z in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.070 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.072 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.072 * [taylor]: Taking taylor expansion of z in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.072 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of 1 in y 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [taylor]: Taking taylor expansion of 1 in z 0.076 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.076 * [taylor]: Taking taylor expansion of 1/2 in y 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.076 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.076 * [taylor]: Taking taylor expansion of z in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.077 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of 0 in z 0.079 * [taylor]: Taking taylor expansion of 0 in z 0.079 * [taylor]: Taking taylor expansion of 0 in z 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.082 * [taylor]: Taking taylor expansion of 1/2 in z 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.082 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.082 * [taylor]: Taking taylor expansion of z in z 0.084 * [taylor]: Taking taylor expansion of 0 in z 0.084 * [taylor]: Taking taylor expansion of 0 in z 0.088 * [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 0.088 * [taylor]: Taking taylor expansion of -1/2 in y 0.088 * [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 0.088 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.088 * [taylor]: Taking taylor expansion of 1/4 in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.088 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.088 * [taylor]: Taking taylor expansion of z in y 0.088 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.088 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.088 * [taylor]: Taking taylor expansion of 1/2 in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.088 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.088 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.088 * [taylor]: Taking taylor expansion of z in y 0.088 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.088 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.088 * [taylor]: Taking taylor expansion of 1/4 in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.088 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.098 * [taylor]: Taking taylor expansion of 0 in z 0.098 * [taylor]: Taking taylor expansion of 0 in z 0.100 * [taylor]: Taking taylor expansion of 0 in z 0.100 * [taylor]: Taking taylor expansion of 0 in z 0.100 * [taylor]: Taking taylor expansion of 0 in z 0.102 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.102 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.102 * [taylor]: Taking taylor expansion of x in z 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.102 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.102 * [taylor]: Taking taylor expansion of z in z 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.103 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.103 * [taylor]: Taking taylor expansion of y in z 0.105 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.105 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.105 * [taylor]: Taking taylor expansion of x in y 0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.105 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.105 * [taylor]: Taking taylor expansion of z in y 0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.106 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.111 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.112 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.112 * [taylor]: Taking taylor expansion of z in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.114 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.115 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.115 * [taylor]: Taking taylor expansion of z in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.115 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.115 * [taylor]: Taking taylor expansion of y in x 0.117 * [taylor]: Taking taylor expansion of 1 in y 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [taylor]: Taking taylor expansion of 1 in z 0.119 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.119 * [taylor]: Taking taylor expansion of 1/2 in y 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.119 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.119 * [taylor]: Taking taylor expansion of z in y 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.119 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.119 * [taylor]: Taking taylor expansion of y in y 0.121 * [taylor]: Taking taylor expansion of 0 in z 0.121 * [taylor]: Taking taylor expansion of 0 in z 0.121 * [taylor]: Taking taylor expansion of 0 in z 0.123 * [taylor]: Taking taylor expansion of 0 in y 0.125 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.125 * [taylor]: Taking taylor expansion of 1/2 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 0.127 * [taylor]: Taking taylor expansion of 0 in z 0.127 * [taylor]: Taking taylor expansion of 0 in z 0.130 * [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 0.130 * [taylor]: Taking taylor expansion of -1/2 in y 0.130 * [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 0.130 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.130 * [taylor]: Taking taylor expansion of 1/4 in y 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.130 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.131 * [taylor]: Taking taylor expansion of z in y 0.131 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.131 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.131 * [taylor]: Taking taylor expansion of 1/2 in y 0.131 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.131 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.131 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.131 * [taylor]: Taking taylor expansion of z in y 0.131 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.131 * [taylor]: Taking taylor expansion of y in y 0.131 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.131 * [taylor]: Taking taylor expansion of 1/4 in y 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.131 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.131 * [taylor]: Taking taylor expansion of y in y 0.141 * [taylor]: Taking taylor expansion of 0 in z 0.141 * [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 0.143 * [taylor]: Taking taylor expansion of 0 in z 0.145 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.145 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.145 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.145 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.145 * [taylor]: Taking taylor expansion of x in y 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.145 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.145 * [taylor]: Taking taylor expansion of y in x 0.145 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.145 * [taylor]: Taking taylor expansion of y in x 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.146 * [taylor]: Taking taylor expansion of 0 in y 0.146 * [taylor]: Taking taylor expansion of 1 in y 0.148 * [taylor]: Taking taylor expansion of 0 in y 0.149 * [taylor]: Taking taylor expansion of 0 in y 0.150 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.150 * [taylor]: Taking taylor expansion of x in y 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.150 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.151 * [taylor]: Taking taylor expansion of y in x 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.152 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.152 * [taylor]: Taking taylor expansion of 1 in y 0.153 * [taylor]: Taking taylor expansion of 0 in y 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.154 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.154 * [taylor]: Taking taylor expansion of y in y 0.156 * [taylor]: Taking taylor expansion of 0 in y 0.159 * [taylor]: Taking taylor expansion of 0 in y 0.160 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.160 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.160 * [taylor]: Taking taylor expansion of x in y 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.160 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.160 * [taylor]: Taking taylor expansion of y in y 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.161 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.161 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.161 * [taylor]: Taking taylor expansion of y in x 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.161 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.162 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.162 * [taylor]: Taking taylor expansion of y in x 0.162 * [taylor]: Taking taylor expansion of 1 in y 0.163 * [taylor]: Taking taylor expansion of 0 in y 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.164 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.164 * [taylor]: Taking taylor expansion of y in y 0.166 * [taylor]: Taking taylor expansion of 0 in y 0.169 * [taylor]: Taking taylor expansion of 0 in y 0.170 * * * [progress]: simplifying candidates 0.170 * [simplify]: Simplifying using # : (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)))) (* (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 x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.174 * * [simplify]: iteration 0 : 173 enodes (cost 212 ) 0.178 * * [simplify]: iteration 1 : 707 enodes (cost 203 ) 0.187 * * [simplify]: iteration 2 : 1993 enodes (cost 203 ) 0.226 * * [simplify]: iteration 3 : 5001 enodes (cost 202 ) 0.227 * [simplify]: Simplified to: (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (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)))) (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 (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)) z x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.227 * * * [progress]: adding candidates to table 0.305 * * [progress]: iteration 2 / 4 0.305 * * * [progress]: picking best candidate 0.310 * * * * [pick]: Picked # 0.310 * * * [progress]: localizing error 0.322 * * * [progress]: generating rewritten candidates 0.322 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.382 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 0.384 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2) 0.387 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 0.390 * * * [progress]: generating series expansions 0.390 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.391 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.391 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.391 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.391 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.391 * [taylor]: Taking taylor expansion of x in z 0.391 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.391 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.391 * [taylor]: Taking taylor expansion of y in z 0.391 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.391 * [taylor]: Taking taylor expansion of z in z 0.393 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.393 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.393 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.393 * [taylor]: Taking taylor expansion of x in y 0.393 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.393 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.393 * [taylor]: Taking taylor expansion of y in y 0.393 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.393 * [taylor]: Taking taylor expansion of z in y 0.394 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.394 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.394 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.394 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.394 * [taylor]: Taking taylor expansion of y in x 0.394 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.394 * [taylor]: Taking taylor expansion of z in x 0.395 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.395 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.395 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.395 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.395 * [taylor]: Taking taylor expansion of y in x 0.395 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.395 * [taylor]: Taking taylor expansion of z in x 0.396 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.396 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.396 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.396 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.397 * [taylor]: Taking taylor expansion of z in y 0.397 * [taylor]: Taking taylor expansion of z in z 0.397 * [taylor]: Taking taylor expansion of 0 in y 0.397 * [taylor]: Taking taylor expansion of 0 in z 0.397 * [taylor]: Taking taylor expansion of 0 in z 0.399 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.399 * [taylor]: Taking taylor expansion of 1/2 in y 0.399 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.399 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.399 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.399 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.399 * [taylor]: Taking taylor expansion of y in y 0.399 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.399 * [taylor]: Taking taylor expansion of z in y 0.400 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.400 * [taylor]: Taking taylor expansion of 1/2 in z 0.400 * [taylor]: Taking taylor expansion of z in z 0.401 * [taylor]: Taking taylor expansion of 0 in z 0.402 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.402 * [taylor]: Taking taylor expansion of 1/2 in z 0.402 * [taylor]: Taking taylor expansion of z in z 0.404 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.404 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.404 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.404 * [taylor]: Taking taylor expansion of x in z 0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.404 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.404 * [taylor]: Taking taylor expansion of z in z 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.405 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.405 * [taylor]: Taking taylor expansion of y in z 0.407 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.407 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.407 * [taylor]: Taking taylor expansion of x in y 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.407 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.407 * [taylor]: Taking taylor expansion of z in y 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.408 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.408 * [taylor]: Taking taylor expansion of y in y 0.410 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.411 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.411 * [taylor]: Taking taylor expansion of z in x 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.411 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.411 * [taylor]: Taking taylor expansion of y in x 0.413 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.413 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.414 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.414 * [taylor]: Taking taylor expansion of z in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.414 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.414 * [taylor]: Taking taylor expansion of y in x 0.416 * [taylor]: Taking taylor expansion of 1 in y 0.416 * [taylor]: Taking taylor expansion of 0 in y 0.416 * [taylor]: Taking taylor expansion of 1 in z 0.418 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.418 * [taylor]: Taking taylor expansion of 1/2 in y 0.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.418 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.418 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.418 * [taylor]: Taking taylor expansion of z in y 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.419 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.421 * [taylor]: Taking taylor expansion of 0 in z 0.421 * [taylor]: Taking taylor expansion of 0 in z 0.421 * [taylor]: Taking taylor expansion of 0 in z 0.423 * [taylor]: Taking taylor expansion of 0 in y 0.425 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.425 * [taylor]: Taking taylor expansion of 1/2 in z 0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.425 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.425 * [taylor]: Taking taylor expansion of z in z 0.426 * [taylor]: Taking taylor expansion of 0 in z 0.426 * [taylor]: Taking taylor expansion of 0 in z 0.430 * [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 0.430 * [taylor]: Taking taylor expansion of -1/2 in y 0.430 * [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 0.430 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.430 * [taylor]: Taking taylor expansion of 1/4 in y 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.430 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.430 * [taylor]: Taking taylor expansion of z in y 0.430 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.430 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.430 * [taylor]: Taking taylor expansion of 1/2 in y 0.430 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.430 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.430 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.430 * [taylor]: Taking taylor expansion of z in y 0.430 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.430 * [taylor]: Taking taylor expansion of y in y 0.431 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.431 * [taylor]: Taking taylor expansion of 1/4 in y 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.431 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.431 * [taylor]: Taking taylor expansion of y in y 0.443 * [taylor]: Taking taylor expansion of 0 in z 0.443 * [taylor]: Taking taylor expansion of 0 in z 0.446 * [taylor]: Taking taylor expansion of 0 in z 0.446 * [taylor]: Taking taylor expansion of 0 in z 0.446 * [taylor]: Taking taylor expansion of 0 in z 0.448 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.448 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.448 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.448 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.448 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.448 * [taylor]: Taking taylor expansion of x in z 0.449 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.449 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.449 * [taylor]: Taking taylor expansion of z in z 0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.449 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.449 * [taylor]: Taking taylor expansion of y in z 0.452 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.452 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.452 * [taylor]: Taking taylor expansion of x in y 0.453 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.453 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.453 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.453 * [taylor]: Taking taylor expansion of z in y 0.453 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.453 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.453 * [taylor]: Taking taylor expansion of y in y 0.456 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.456 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.456 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.456 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.456 * [taylor]: Taking taylor expansion of z in x 0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.457 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.457 * [taylor]: Taking taylor expansion of y in x 0.459 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.459 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.459 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.459 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.459 * [taylor]: Taking taylor expansion of z in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.459 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.459 * [taylor]: Taking taylor expansion of y in x 0.461 * [taylor]: Taking taylor expansion of 1 in y 0.462 * [taylor]: Taking taylor expansion of 0 in y 0.462 * [taylor]: Taking taylor expansion of 1 in z 0.464 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.464 * [taylor]: Taking taylor expansion of 1/2 in y 0.464 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.464 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.464 * [taylor]: Taking taylor expansion of z in y 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.464 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.464 * [taylor]: Taking taylor expansion of y in y 0.466 * [taylor]: Taking taylor expansion of 0 in z 0.466 * [taylor]: Taking taylor expansion of 0 in z 0.466 * [taylor]: Taking taylor expansion of 0 in z 0.468 * [taylor]: Taking taylor expansion of 0 in y 0.470 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.470 * [taylor]: Taking taylor expansion of 1/2 in z 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.470 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.470 * [taylor]: Taking taylor expansion of z in z 0.472 * [taylor]: Taking taylor expansion of 0 in z 0.472 * [taylor]: Taking taylor expansion of 0 in z 0.475 * [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 0.475 * [taylor]: Taking taylor expansion of -1/2 in y 0.475 * [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 0.475 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.475 * [taylor]: Taking taylor expansion of 1/4 in y 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.475 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.475 * [taylor]: Taking taylor expansion of z in y 0.476 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.476 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.476 * [taylor]: Taking taylor expansion of 1/2 in y 0.476 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.476 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.476 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.476 * [taylor]: Taking taylor expansion of z in y 0.476 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.476 * [taylor]: Taking taylor expansion of y in y 0.476 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.476 * [taylor]: Taking taylor expansion of 1/4 in y 0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.476 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.476 * [taylor]: Taking taylor expansion of y in y 0.486 * [taylor]: Taking taylor expansion of 0 in z 0.486 * [taylor]: Taking taylor expansion of 0 in z 0.488 * [taylor]: Taking taylor expansion of 0 in z 0.488 * [taylor]: Taking taylor expansion of 0 in z 0.488 * [taylor]: Taking taylor expansion of 0 in z 0.490 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 0.490 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 0.490 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 0.490 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 0.490 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 0.490 * [taylor]: Taking taylor expansion of 1/3 in y 0.490 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 0.490 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.490 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.490 * [taylor]: Taking taylor expansion of x in y 0.490 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.491 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.491 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.491 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.491 * [taylor]: Taking taylor expansion of 1/3 in x 0.491 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.491 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.491 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.491 * [taylor]: Taking taylor expansion of y in x 0.491 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.491 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.491 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.491 * [taylor]: Taking taylor expansion of 1/3 in x 0.491 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.491 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.491 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.491 * [taylor]: Taking taylor expansion of y in x 0.491 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 0.492 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 0.492 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 0.492 * [taylor]: Taking taylor expansion of 1/3 in y 0.492 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.492 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.492 * [taylor]: Taking taylor expansion of y in y 0.494 * [taylor]: Taking taylor expansion of 0 in y 0.499 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 0.499 * [taylor]: Taking taylor expansion of 1/3 in y 0.499 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 0.499 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 0.500 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 0.500 * [taylor]: Taking taylor expansion of 1/3 in y 0.500 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.500 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.510 * [taylor]: Taking taylor expansion of 0 in y 0.521 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.521 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.521 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.521 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.521 * [taylor]: Taking taylor expansion of 1/3 in y 0.521 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.521 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.521 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.521 * [taylor]: Taking taylor expansion of x in y 0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.521 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.521 * [taylor]: Taking taylor expansion of y in y 0.523 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.523 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.523 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.523 * [taylor]: Taking taylor expansion of 1/3 in x 0.523 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.523 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.523 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.523 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.523 * [taylor]: Taking taylor expansion of y in x 0.524 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.524 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.524 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.525 * [taylor]: Taking taylor expansion of 1/3 in x 0.525 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.525 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.525 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.525 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.525 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.525 * [taylor]: Taking taylor expansion of y in x 0.526 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.526 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.526 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.526 * [taylor]: Taking taylor expansion of -2/3 in y 0.526 * [taylor]: Taking taylor expansion of (log x) in y 0.526 * [taylor]: Taking taylor expansion of x in y 0.529 * [taylor]: Taking taylor expansion of 0 in y 0.534 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.534 * [taylor]: Taking taylor expansion of 1/3 in y 0.534 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.534 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.534 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.534 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.534 * [taylor]: Taking taylor expansion of 1/3 in y 0.534 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.534 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.534 * [taylor]: Taking taylor expansion of x in y 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.534 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.534 * [taylor]: Taking taylor expansion of y in y 0.551 * [taylor]: Taking taylor expansion of 0 in y 0.551 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.551 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.551 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.551 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.551 * [taylor]: Taking taylor expansion of 1/3 in y 0.551 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.551 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.551 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.551 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.551 * [taylor]: Taking taylor expansion of x in y 0.551 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.551 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.551 * [taylor]: Taking taylor expansion of y in y 0.553 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.553 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.553 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.553 * [taylor]: Taking taylor expansion of 1/3 in x 0.553 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.553 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.553 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.553 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.553 * [taylor]: Taking taylor expansion of x in x 0.553 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.553 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.553 * [taylor]: Taking taylor expansion of y in x 0.554 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.554 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.554 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.554 * [taylor]: Taking taylor expansion of 1/3 in x 0.554 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.555 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.555 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.555 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.555 * [taylor]: Taking taylor expansion of y in x 0.556 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.556 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.556 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.556 * [taylor]: Taking taylor expansion of -2/3 in y 0.556 * [taylor]: Taking taylor expansion of (log x) in y 0.556 * [taylor]: Taking taylor expansion of x in y 0.559 * [taylor]: Taking taylor expansion of 0 in y 0.564 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.564 * [taylor]: Taking taylor expansion of 1/3 in y 0.564 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.564 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.564 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.564 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.564 * [taylor]: Taking taylor expansion of 1/3 in y 0.564 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.564 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.564 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.564 * [taylor]: Taking taylor expansion of x in y 0.565 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.565 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.565 * [taylor]: Taking taylor expansion of y in y 0.581 * [taylor]: Taking taylor expansion of 0 in y 0.581 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2) 0.582 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 0.582 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 0.582 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 0.582 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 0.582 * [taylor]: Taking taylor expansion of 1/3 in y 0.582 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 0.582 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.582 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.582 * [taylor]: Taking taylor expansion of x in y 0.582 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.582 * [taylor]: Taking taylor expansion of y in y 0.582 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.582 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.582 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.582 * [taylor]: Taking taylor expansion of 1/3 in x 0.582 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.582 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.582 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.582 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.582 * [taylor]: Taking taylor expansion of y in x 0.582 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.583 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.583 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.583 * [taylor]: Taking taylor expansion of 1/3 in x 0.583 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.583 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.583 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.583 * [taylor]: Taking taylor expansion of y in x 0.583 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 0.583 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 0.583 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 0.583 * [taylor]: Taking taylor expansion of 1/3 in y 0.583 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.583 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.583 * [taylor]: Taking taylor expansion of y in y 0.586 * [taylor]: Taking taylor expansion of 0 in y 0.591 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 0.591 * [taylor]: Taking taylor expansion of 1/3 in y 0.591 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 0.591 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 0.591 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 0.591 * [taylor]: Taking taylor expansion of 1/3 in y 0.591 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 0.591 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.591 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.591 * [taylor]: Taking taylor expansion of y in y 0.601 * [taylor]: Taking taylor expansion of 0 in y 0.612 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.612 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.612 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.612 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.612 * [taylor]: Taking taylor expansion of 1/3 in y 0.612 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.612 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.612 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.612 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.612 * [taylor]: Taking taylor expansion of x in y 0.612 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.612 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.612 * [taylor]: Taking taylor expansion of y in y 0.614 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.614 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.614 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.614 * [taylor]: Taking taylor expansion of 1/3 in x 0.614 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.614 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.614 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.614 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.614 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.614 * [taylor]: Taking taylor expansion of y in x 0.615 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.615 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.615 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.615 * [taylor]: Taking taylor expansion of 1/3 in x 0.615 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.615 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.615 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.615 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.615 * [taylor]: Taking taylor expansion of x in x 0.616 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.616 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.616 * [taylor]: Taking taylor expansion of y in x 0.617 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.617 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.617 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.617 * [taylor]: Taking taylor expansion of -2/3 in y 0.617 * [taylor]: Taking taylor expansion of (log x) in y 0.617 * [taylor]: Taking taylor expansion of x in y 0.620 * [taylor]: Taking taylor expansion of 0 in y 0.625 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.625 * [taylor]: Taking taylor expansion of 1/3 in y 0.625 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.625 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.625 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.625 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.625 * [taylor]: Taking taylor expansion of 1/3 in y 0.625 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 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 0.642 * [taylor]: Taking taylor expansion of 0 in y 0.642 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.642 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.642 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.642 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.642 * [taylor]: Taking taylor expansion of 1/3 in y 0.642 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.642 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.642 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.642 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.642 * [taylor]: Taking taylor expansion of x in y 0.642 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.642 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.642 * [taylor]: Taking taylor expansion of y in y 0.644 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.644 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.644 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.644 * [taylor]: Taking taylor expansion of 1/3 in x 0.644 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.644 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.644 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.644 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.644 * [taylor]: Taking taylor expansion of y in x 0.645 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.645 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.645 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.645 * [taylor]: Taking taylor expansion of 1/3 in x 0.645 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.646 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.646 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.646 * [taylor]: Taking taylor expansion of y in x 0.647 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.647 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.647 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.647 * [taylor]: Taking taylor expansion of -2/3 in y 0.647 * [taylor]: Taking taylor expansion of (log x) in y 0.647 * [taylor]: Taking taylor expansion of x in y 0.650 * [taylor]: Taking taylor expansion of 0 in y 0.655 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.655 * [taylor]: Taking taylor expansion of 1/3 in y 0.655 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.655 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.655 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.655 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.655 * [taylor]: Taking taylor expansion of 1/3 in y 0.655 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.655 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.655 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.655 * [taylor]: Taking taylor expansion of x in y 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.656 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.656 * [taylor]: Taking taylor expansion of y in y 0.672 * [taylor]: Taking taylor expansion of 0 in y 0.672 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 0.672 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 0.672 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 0.672 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 0.672 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 0.673 * [taylor]: Taking taylor expansion of 1/3 in y 0.673 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 0.673 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.673 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.673 * [taylor]: Taking taylor expansion of x in y 0.673 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.673 * [taylor]: Taking taylor expansion of y in y 0.673 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.673 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.673 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.673 * [taylor]: Taking taylor expansion of 1/3 in x 0.673 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.673 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.673 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.673 * [taylor]: Taking taylor expansion of x in x 0.673 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.673 * [taylor]: Taking taylor expansion of y in x 0.673 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.673 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.673 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.673 * [taylor]: Taking taylor expansion of 1/3 in x 0.673 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.673 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.673 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.674 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.674 * [taylor]: Taking taylor expansion of y in x 0.674 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 0.674 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 0.674 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 0.674 * [taylor]: Taking taylor expansion of 1/3 in y 0.674 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.674 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.674 * [taylor]: Taking taylor expansion of y in y 0.677 * [taylor]: Taking taylor expansion of 0 in y 0.682 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 0.682 * [taylor]: Taking taylor expansion of 1/3 in y 0.682 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 0.682 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 0.682 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 0.682 * [taylor]: Taking taylor expansion of 1/3 in y 0.682 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 0.682 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.682 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.682 * [taylor]: Taking taylor expansion of y in y 0.692 * [taylor]: Taking taylor expansion of 0 in y 0.704 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.704 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.704 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.704 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.704 * [taylor]: Taking taylor expansion of 1/3 in y 0.704 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.704 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.704 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.704 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.704 * [taylor]: Taking taylor expansion of x in y 0.704 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.704 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.704 * [taylor]: Taking taylor expansion of y in y 0.706 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.706 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.706 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.706 * [taylor]: Taking taylor expansion of 1/3 in x 0.706 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.706 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.706 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.706 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.706 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.706 * [taylor]: Taking taylor expansion of y in x 0.707 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.707 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.707 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.707 * [taylor]: Taking taylor expansion of 1/3 in x 0.707 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.707 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.707 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.707 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.708 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.708 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.708 * [taylor]: Taking taylor expansion of y in x 0.709 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.709 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.709 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.709 * [taylor]: Taking taylor expansion of -2/3 in y 0.709 * [taylor]: Taking taylor expansion of (log x) in y 0.709 * [taylor]: Taking taylor expansion of x in y 0.712 * [taylor]: Taking taylor expansion of 0 in y 0.717 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.717 * [taylor]: Taking taylor expansion of 1/3 in y 0.717 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.717 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.717 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.717 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.717 * [taylor]: Taking taylor expansion of 1/3 in y 0.717 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.717 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.717 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.717 * [taylor]: Taking taylor expansion of x in y 0.717 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.717 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.717 * [taylor]: Taking taylor expansion of y in y 0.735 * [taylor]: Taking taylor expansion of 0 in y 0.735 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.735 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.735 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.735 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.735 * [taylor]: Taking taylor expansion of 1/3 in y 0.735 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.735 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.735 * [taylor]: Taking taylor expansion of x in y 0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.735 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.735 * [taylor]: Taking taylor expansion of y in y 0.737 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.737 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.737 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.737 * [taylor]: Taking taylor expansion of 1/3 in x 0.737 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.737 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.737 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.737 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.737 * [taylor]: Taking taylor expansion of y in x 0.738 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.738 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.738 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.738 * [taylor]: Taking taylor expansion of 1/3 in x 0.738 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.738 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.739 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.739 * [taylor]: Taking taylor expansion of y in x 0.740 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.740 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.740 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.740 * [taylor]: Taking taylor expansion of -2/3 in y 0.740 * [taylor]: Taking taylor expansion of (log x) in y 0.740 * [taylor]: Taking taylor expansion of x in y 0.743 * [taylor]: Taking taylor expansion of 0 in y 0.748 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.748 * [taylor]: Taking taylor expansion of 1/3 in y 0.748 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.748 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.748 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.748 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.748 * [taylor]: Taking taylor expansion of 1/3 in y 0.748 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.748 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.748 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.748 * [taylor]: Taking taylor expansion of x in y 0.748 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.749 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.749 * [taylor]: Taking taylor expansion of y in y 0.765 * [taylor]: Taking taylor expansion of 0 in y 0.766 * * * [progress]: simplifying candidates 0.767 * [simplify]: Simplifying using # : (log (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (exp (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (* (cbrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (cbrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))) (cbrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (* (* (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (sqrt (* (cbrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))) (cbrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))) (sqrt (cbrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (sqrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (sqrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (sqrt 1) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))) (sqrt (+ (pow (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) 3) (pow (* z z) 3))) (sqrt (+ (* (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))) (- (* (* z z) (* z z)) (* (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))) (sqrt (- (* (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))) (* (* z z) (* z z)))) (sqrt (- (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))) (/ 1 2) (sqrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (sqrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt 1) (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt 1) (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt 1) (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) z x (* -1 x) (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) 0.772 * * [simplify]: iteration 0 : 201 enodes (cost 739 ) 0.776 * * [simplify]: iteration 1 : 622 enodes (cost 690 ) 0.788 * * [simplify]: iteration 2 : 2121 enodes (cost 690 ) 0.831 * * [simplify]: iteration 3 : 5003 enodes (cost 689 ) 0.834 * [simplify]: Simplified to: (log (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (exp (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (* (cbrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (cbrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))) (cbrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (pow (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))) 3) (fabs (cbrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (sqrt (cbrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (sqrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (sqrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) 1 (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))) (sqrt (+ (pow (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) 3) (pow (* z z) 3))) (sqrt (+ (* (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))) (- (* (* z z) (* z 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x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (+ (* x x) (* y y)) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt 1) (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (+ (* x x) (* y y)) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt 1) (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (+ (* x x) (* y y)) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) z x (* -1 x) (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) 0.834 * * * [progress]: adding candidates to table 1.058 * * [progress]: iteration 3 / 4 1.058 * * * [progress]: picking best candidate 1.061 * * * * [pick]: Picked # 1.061 * * * [progress]: localizing error 1.062 * * * [progress]: generating rewritten candidates 1.062 * * * [progress]: generating series expansions 1.062 * * * [progress]: simplifying candidates 1.062 * [simplify]: Simplifying using # : 1.064 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.064 * [simplify]: Simplified to: 1.064 * * * [progress]: adding candidates to table 1.064 * * [progress]: iteration 4 / 4 1.064 * * * [progress]: picking best candidate 1.066 * * * * [pick]: Picked # 1.066 * * * [progress]: localizing error 1.067 * * * [progress]: generating rewritten candidates 1.067 * * * [progress]: generating series expansions 1.067 * * * [progress]: simplifying candidates 1.067 * [simplify]: Simplifying using # : 1.069 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.069 * [simplify]: Simplified to: 1.069 * * * [progress]: adding candidates to table 1.069 * [progress]: [Phase 3 of 3] Extracting. 1.069 * * [regime]: Finding splitpoints for: (# # # # #) 1.070 * * * [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) 1.070 * * * * [regimes]: Trying to branch on (* z z) from (# # # # #) 1.099 * * * * [regimes]: Trying to branch on (* z z) from (# # # #) 1.125 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 1.157 * * * * [regimes]: Trying to branch on (* x x) from (# # # # #) 1.186 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 1.206 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # # #) 1.238 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # #) 1.262 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (# # # # #) 1.283 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (# # # # #) 1.307 * * * * [regimes]: Trying to branch on z from (# # # # #) 1.340 * * * * [regimes]: Trying to branch on y from (# # # # #) 1.369 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.403 * * * [regime]: Found split indices: #