53.703 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.021 * * [simplify]: iteration 0 : 13 enodes (cost 6 ) 0.023 * * [simplify]: iteration 1 : 20 enodes (cost 6 ) 0.024 * * [simplify]: iteration 2 : 22 enodes (cost 6 ) 0.025 * * [simplify]: iteration 3 : 22 enodes (cost 6 ) 0.025 * [simplify]: Simplified to: (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.026 * * [progress]: iteration 1 / 4 0.026 * * * [progress]: picking best candidate 0.028 * * * * [pick]: Picked # 0.028 * * * [progress]: localizing error 0.035 * * * [progress]: generating rewritten candidates 0.035 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.040 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.046 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.051 * * * [progress]: generating series expansions 0.051 * * * * [progress]: [ 1 / 3 ] 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 0.054 * [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 0.055 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.055 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.055 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.055 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.055 * [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 0.057 * [taylor]: Taking taylor expansion of z in z 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [taylor]: Taking taylor expansion of 0 in z 0.057 * [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 0.059 * [taylor]: Taking taylor expansion of 1/2 in y 0.059 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.059 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.059 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.059 * [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 0.062 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.062 * [taylor]: Taking taylor expansion of 1/2 in z 0.062 * [taylor]: Taking taylor expansion of z in z 0.063 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.063 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.063 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.063 * [taylor]: Taking taylor expansion of x in z 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.063 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.064 * [taylor]: Taking taylor expansion of z in z 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.064 * [taylor]: Taking taylor expansion of y in z 0.066 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.067 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.067 * [taylor]: Taking taylor expansion of x in y 0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.067 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.067 * [taylor]: Taking taylor expansion of z in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.067 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.070 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.070 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.070 * [taylor]: Taking taylor expansion of z in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.073 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.073 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.073 * [taylor]: Taking taylor expansion of z in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of 1 in y 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [taylor]: Taking taylor expansion of 1 in z 0.078 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.078 * [taylor]: Taking taylor expansion of 1/2 in y 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.078 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.078 * [taylor]: Taking taylor expansion of z in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.078 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of 0 in z 0.080 * [taylor]: Taking taylor expansion of 0 in z 0.080 * [taylor]: Taking taylor expansion of 0 in z 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.084 * [taylor]: Taking taylor expansion of 1/2 in z 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.084 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.084 * [taylor]: Taking taylor expansion of z in z 0.086 * [taylor]: Taking taylor expansion of 0 in z 0.086 * [taylor]: Taking taylor expansion of 0 in z 0.089 * [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 0.089 * [taylor]: Taking taylor expansion of -1/2 in y 0.089 * [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 0.089 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.089 * [taylor]: Taking taylor expansion of 1/4 in y 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.090 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.090 * [taylor]: Taking taylor expansion of z in y 0.090 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.090 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.090 * [taylor]: Taking taylor expansion of 1/2 in y 0.090 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.090 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.090 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.090 * [taylor]: Taking taylor expansion of z in y 0.090 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.090 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.090 * [taylor]: Taking taylor expansion of 1/4 in y 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.090 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.103 * [taylor]: Taking taylor expansion of 0 in z 0.103 * [taylor]: Taking taylor expansion of 0 in z 0.106 * [taylor]: Taking taylor expansion of 0 in z 0.106 * [taylor]: Taking taylor expansion of 0 in z 0.106 * [taylor]: Taking taylor expansion of 0 in z 0.107 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.108 * [taylor]: Taking taylor expansion of x in z 0.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.108 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.108 * [taylor]: Taking taylor expansion of z in z 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.108 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.108 * [taylor]: Taking taylor expansion of y in z 0.111 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.111 * [taylor]: Taking taylor expansion of x in y 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.111 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.111 * [taylor]: Taking taylor expansion of z in y 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.111 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.111 * [taylor]: Taking taylor expansion of y in y 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 0.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.114 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.114 * [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 (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.117 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.117 * [taylor]: Taking taylor expansion of z in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.117 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.117 * [taylor]: Taking taylor expansion of y in x 0.119 * [taylor]: Taking taylor expansion of 1 in y 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.119 * [taylor]: Taking taylor expansion of 1 in z 0.122 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.122 * [taylor]: Taking taylor expansion of 1/2 in y 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.122 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.122 * [taylor]: Taking taylor expansion of z in y 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.122 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.122 * [taylor]: Taking taylor expansion of y in y 0.124 * [taylor]: Taking taylor expansion of 0 in z 0.124 * [taylor]: Taking taylor expansion of 0 in z 0.124 * [taylor]: Taking taylor expansion of 0 in z 0.126 * [taylor]: Taking taylor expansion of 0 in y 0.128 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.128 * [taylor]: Taking taylor expansion of 1/2 in z 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.128 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.128 * [taylor]: Taking taylor expansion of z in z 0.130 * [taylor]: Taking taylor expansion of 0 in z 0.130 * [taylor]: Taking taylor expansion of 0 in z 0.133 * [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 0.133 * [taylor]: Taking taylor expansion of -1/2 in y 0.133 * [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 0.133 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.133 * [taylor]: Taking taylor expansion of 1/4 in y 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.133 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.133 * [taylor]: Taking taylor expansion of z in y 0.133 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.133 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.134 * [taylor]: Taking taylor expansion of 1/2 in y 0.134 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.134 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.134 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.134 * [taylor]: Taking taylor expansion of z in y 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.134 * [taylor]: Taking taylor expansion of y in y 0.134 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.134 * [taylor]: Taking taylor expansion of 1/4 in y 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.134 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.134 * [taylor]: Taking taylor expansion of y in y 0.144 * [taylor]: Taking taylor expansion of 0 in z 0.144 * [taylor]: Taking taylor expansion of 0 in z 0.146 * [taylor]: Taking taylor expansion of 0 in z 0.146 * [taylor]: Taking taylor expansion of 0 in z 0.146 * [taylor]: Taking taylor expansion of 0 in z 0.148 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.148 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in (x y z) around 0 0.148 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.148 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.148 * [taylor]: Taking taylor expansion of x in z 0.148 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.148 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.148 * [taylor]: Taking taylor expansion of y in z 0.148 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.148 * [taylor]: Taking taylor expansion of z in z 0.148 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.148 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.148 * [taylor]: Taking taylor expansion of x in y 0.148 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.148 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.148 * [taylor]: Taking taylor expansion of y in y 0.148 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.148 * [taylor]: Taking taylor expansion of z in y 0.148 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.148 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.148 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.148 * [taylor]: Taking taylor expansion of y in x 0.148 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.148 * [taylor]: Taking taylor expansion of z in x 0.148 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.148 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.148 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.148 * [taylor]: Taking taylor expansion of y in x 0.148 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.148 * [taylor]: Taking taylor expansion of z in x 0.149 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.149 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.149 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.149 * [taylor]: Taking taylor expansion of z in y 0.149 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.149 * [taylor]: Taking taylor expansion of z in z 0.150 * [taylor]: Taking taylor expansion of 0 in y 0.150 * [taylor]: Taking taylor expansion of 0 in z 0.150 * [taylor]: Taking taylor expansion of 0 in z 0.151 * [taylor]: Taking taylor expansion of 1 in y 0.151 * [taylor]: Taking taylor expansion of 1 in z 0.151 * [taylor]: Taking taylor expansion of 0 in z 0.152 * [taylor]: Taking taylor expansion of 1 in z 0.153 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.153 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.153 * [taylor]: Taking taylor expansion of x in z 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.153 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.153 * [taylor]: Taking taylor expansion of z in z 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.154 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.154 * [taylor]: Taking taylor expansion of y in z 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.154 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.154 * [taylor]: Taking taylor expansion of x in y 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow z 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 (/ 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 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.155 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.155 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.155 * [taylor]: Taking taylor expansion of z in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.155 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.155 * [taylor]: Taking taylor expansion of y in x 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.155 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.156 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.156 * [taylor]: Taking taylor expansion of z in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.156 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.156 * [taylor]: Taking taylor expansion of y in x 0.157 * [taylor]: Taking taylor expansion of 1 in y 0.158 * [taylor]: Taking taylor expansion of 0 in y 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.159 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.159 * [taylor]: Taking taylor expansion of z in y 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.159 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.160 * [taylor]: Taking taylor expansion of 1 in z 0.160 * [taylor]: Taking taylor expansion of 1 in z 0.162 * [taylor]: Taking taylor expansion of 0 in y 0.163 * [taylor]: Taking taylor expansion of 0 in z 0.163 * [taylor]: Taking taylor expansion of 0 in z 0.163 * [taylor]: Taking taylor expansion of 0 in z 0.165 * [taylor]: Taking taylor expansion of 0 in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.166 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.166 * [taylor]: Taking taylor expansion of z in z 0.167 * [taylor]: Taking taylor expansion of 0 in z 0.167 * [taylor]: Taking taylor expansion of 0 in z 0.168 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.168 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.168 * [taylor]: Taking taylor expansion of x in z 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.168 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.168 * [taylor]: Taking taylor expansion of z in z 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.169 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.169 * [taylor]: Taking taylor expansion of y in z 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.169 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.169 * [taylor]: Taking taylor expansion of x in y 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.169 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.169 * [taylor]: Taking taylor expansion of z in y 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.169 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.169 * [taylor]: Taking taylor expansion of y in y 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.170 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.170 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.170 * [taylor]: Taking taylor expansion of z in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.170 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.170 * [taylor]: Taking taylor expansion of y in x 0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.170 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.171 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.171 * [taylor]: Taking taylor expansion of z in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.171 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.171 * [taylor]: Taking taylor expansion of y in x 0.172 * [taylor]: Taking taylor expansion of 1 in y 0.173 * [taylor]: Taking taylor expansion of 0 in y 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.174 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.174 * [taylor]: Taking taylor expansion of z in y 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.174 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.174 * [taylor]: Taking taylor expansion of y in y 0.175 * [taylor]: Taking taylor expansion of 1 in z 0.175 * [taylor]: Taking taylor expansion of 1 in z 0.177 * [taylor]: Taking taylor expansion of 0 in y 0.178 * [taylor]: Taking taylor expansion of 0 in z 0.178 * [taylor]: Taking taylor expansion of 0 in z 0.178 * [taylor]: Taking taylor expansion of 0 in z 0.180 * [taylor]: Taking taylor expansion of 0 in y 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.181 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.181 * [taylor]: Taking taylor expansion of z in z 0.182 * [taylor]: Taking taylor expansion of 0 in z 0.182 * [taylor]: Taking taylor expansion of 0 in z 0.183 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.183 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.183 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.183 * [taylor]: Taking taylor expansion of x in y 0.183 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.183 * [taylor]: Taking taylor expansion of y in y 0.183 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.183 * [taylor]: Taking taylor expansion of y in x 0.183 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.183 * [taylor]: Taking taylor expansion of y in x 0.183 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.183 * [taylor]: Taking taylor expansion of y in y 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.187 * [taylor]: Taking taylor expansion of 1 in y 0.188 * [taylor]: Taking taylor expansion of 0 in y 0.190 * [taylor]: Taking taylor expansion of 0 in y 0.190 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.190 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.190 * [taylor]: Taking taylor expansion of x in y 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.190 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.190 * [taylor]: Taking taylor expansion of y in y 0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.191 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.191 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.191 * [taylor]: Taking taylor expansion of y in x 0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.192 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.192 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.192 * [taylor]: Taking taylor expansion of y in x 0.192 * [taylor]: Taking taylor expansion of 1 in y 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.195 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.195 * [taylor]: Taking taylor expansion of y in y 0.196 * [taylor]: Taking taylor expansion of 0 in y 0.199 * [taylor]: Taking taylor expansion of 0 in y 0.200 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.200 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.200 * [taylor]: Taking taylor expansion of x in y 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.201 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.201 * [taylor]: Taking taylor expansion of y in y 0.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.201 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.202 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.202 * [taylor]: Taking taylor expansion of y in x 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.202 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.202 * [taylor]: Taking taylor expansion of y in x 0.203 * [taylor]: Taking taylor expansion of 1 in y 0.204 * [taylor]: Taking taylor expansion of 0 in y 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.205 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.207 * [taylor]: Taking taylor expansion of 0 in y 0.209 * [taylor]: Taking taylor expansion of 0 in y 0.211 * * * [progress]: simplifying candidates 0.211 * [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))) (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)) (* (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)) 0.216 * * [simplify]: iteration 0 : 209 enodes (cost 340 ) 0.220 * * [simplify]: iteration 1 : 959 enodes (cost 320 ) 0.236 * * [simplify]: iteration 2 : 3316 enodes (cost 316 ) 0.298 * * [simplify]: iteration 3 : 5001 enodes (cost 315 ) 0.300 * [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)) (* z z))) (exp (+ (+ (* x x) (* y y)) (* 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))) (pow (+ (+ (* x x) (* y y)) (* z z)) 3) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)) (+ (* (+ (pow x 2) (pow y 2)) (- (+ (* x x) (* y y)) (* z z))) (pow z 4)) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))) (- (+ (* x x) (* y y)) (* z z)) (+ (pow y 2) (pow z 2)) (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) (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.301 * * * [progress]: adding candidates to table 0.416 * * [progress]: iteration 2 / 4 0.416 * * * [progress]: picking best candidate 0.418 * * * * [pick]: Picked # 0.419 * * * [progress]: localizing error 0.420 * * * [progress]: generating rewritten candidates 0.420 * * * [progress]: generating series expansions 0.420 * * * [progress]: simplifying candidates 0.421 * [simplify]: Simplifying using # : 0.423 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.423 * [simplify]: Simplified to: 0.423 * * * [progress]: adding candidates to table 0.423 * * [progress]: iteration 3 / 4 0.423 * * * [progress]: picking best candidate 0.425 * * * * [pick]: Picked # 0.425 * * * [progress]: localizing error 0.426 * * * [progress]: generating rewritten candidates 0.426 * * * [progress]: generating series expansions 0.426 * * * [progress]: simplifying candidates 0.426 * [simplify]: Simplifying using # : 0.428 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.429 * [simplify]: Simplified to: 0.429 * * * [progress]: adding candidates to table 0.429 * * [progress]: iteration 4 / 4 0.429 * * * [progress]: picking best candidate 0.430 * * * * [pick]: Picked # 0.430 * * * [progress]: localizing error 0.431 * * * [progress]: generating rewritten candidates 0.431 * * * [progress]: generating series expansions 0.431 * * * [progress]: simplifying candidates 0.431 * [simplify]: Simplifying using # : 0.435 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.435 * [simplify]: Simplified to: 0.435 * * * [progress]: adding candidates to table 0.436 * [progress]: [Phase 3 of 3] Extracting. 0.436 * * [regime]: Finding splitpoints for: (# # # #) 0.436 * * * [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) 0.436 * * * * [regimes]: Trying to branch on (* z z) from (# # # #) 0.453 * * * * [regimes]: Trying to branch on (* z z) from (# # #) 0.472 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 0.488 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 0.508 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.521 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # #) 0.541 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 0.555 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (# # # #) 0.574 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (# # # #) 0.594 * * * * [regimes]: Trying to branch on z from (# # # #) 0.629 * * * * [regimes]: Trying to branch on y from (# # # #) 0.644 * * * * [regimes]: Trying to branch on x from (# # # #) 0.669 * * * [regime]: Found split indices: #