15.398 * [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. 0.017 * [simplify]: Simplifying using # : (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.019 * * [simplify]: iteration 0 : 13 enodes (cost 6 ) 0.020 * * [simplify]: iteration 1 : 20 enodes (cost 6 ) 0.022 * * [simplify]: iteration 2 : 22 enodes (cost 6 ) 0.023 * * [simplify]: iteration 3 : 22 enodes (cost 6 ) 0.023 * [simplify]: Simplified to: (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.033 * * * [progress]: generating rewritten candidates 0.033 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.046 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.048 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.061 * * * [progress]: generating series expansions 0.061 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.061 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.061 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.061 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.061 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.061 * [taylor]: Taking taylor expansion of x in z 0.061 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.061 * [taylor]: Taking taylor expansion of y in z 0.061 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.061 * [taylor]: Taking taylor expansion of z in z 0.062 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.062 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.062 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.062 * [taylor]: Taking taylor expansion of x in y 0.062 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.063 * [taylor]: Taking taylor expansion of z in y 0.064 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.064 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.064 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.064 * [taylor]: Taking taylor expansion of z in x 0.068 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.068 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.068 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.068 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.068 * [taylor]: Taking taylor expansion of z in x 0.069 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.069 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.069 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.070 * [taylor]: Taking taylor expansion of z in y 0.070 * [taylor]: Taking taylor expansion of z in z 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [taylor]: Taking taylor expansion of 0 in z 0.070 * [taylor]: Taking taylor expansion of 0 in z 0.072 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.072 * [taylor]: Taking taylor expansion of 1/2 in y 0.072 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.072 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.072 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.072 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.072 * [taylor]: Taking taylor expansion of z in y 0.073 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.073 * [taylor]: Taking taylor expansion of 1/2 in z 0.073 * [taylor]: Taking taylor expansion of z in z 0.074 * [taylor]: Taking taylor expansion of 0 in z 0.075 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.075 * [taylor]: Taking taylor expansion of 1/2 in z 0.075 * [taylor]: Taking taylor expansion of z in z 0.076 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.076 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.076 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.076 * [taylor]: Taking taylor expansion of x in z 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.077 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.077 * [taylor]: Taking taylor expansion of z in z 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.077 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.077 * [taylor]: Taking taylor expansion of y in z 0.080 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.080 * [taylor]: Taking taylor expansion of x in y 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.080 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.080 * [taylor]: Taking taylor expansion of z in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.080 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.083 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.084 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.084 * [taylor]: Taking taylor expansion of z in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.084 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.086 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.086 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.086 * [taylor]: Taking taylor expansion of z in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.087 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.087 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of 1 in y 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [taylor]: Taking taylor expansion of 1 in z 0.091 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.091 * [taylor]: Taking taylor expansion of 1/2 in y 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.091 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.091 * [taylor]: Taking taylor expansion of z in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.091 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.093 * [taylor]: Taking taylor expansion of 0 in z 0.093 * [taylor]: Taking taylor expansion of 0 in z 0.094 * [taylor]: Taking taylor expansion of 0 in z 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.098 * [taylor]: Taking taylor expansion of 1/2 in z 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.098 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.098 * [taylor]: Taking taylor expansion of z in z 0.100 * [taylor]: Taking taylor expansion of 0 in z 0.100 * [taylor]: Taking taylor expansion of 0 in z 0.104 * [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 0.104 * [taylor]: Taking taylor expansion of -1/2 in y 0.104 * [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 0.104 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.104 * [taylor]: Taking taylor expansion of 1/4 in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.104 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.104 * [taylor]: Taking taylor expansion of z in y 0.104 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.104 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.104 * [taylor]: Taking taylor expansion of 1/2 in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.104 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.104 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.104 * [taylor]: Taking taylor expansion of z in y 0.104 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.105 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.105 * [taylor]: Taking taylor expansion of 1/4 in y 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.105 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.115 * [taylor]: Taking taylor expansion of 0 in z 0.115 * [taylor]: Taking taylor expansion of 0 in z 0.117 * [taylor]: Taking taylor expansion of 0 in z 0.117 * [taylor]: Taking taylor expansion of 0 in z 0.117 * [taylor]: Taking taylor expansion of 0 in z 0.119 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.119 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.119 * [taylor]: Taking taylor expansion of x in z 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.119 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.119 * [taylor]: Taking taylor expansion of z in z 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.120 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.120 * [taylor]: Taking taylor expansion of y in z 0.122 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.122 * [taylor]: Taking taylor expansion of x 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 0.123 * [taylor]: Taking taylor expansion of y in y 0.125 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.125 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.126 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.126 * [taylor]: Taking taylor expansion of z in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.126 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.126 * [taylor]: Taking taylor expansion of y in x 0.128 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.129 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.129 * [taylor]: Taking taylor expansion of z in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.129 * [taylor]: Taking taylor expansion of y in x 0.131 * [taylor]: Taking taylor expansion of 1 in y 0.131 * [taylor]: Taking taylor expansion of 0 in y 0.131 * [taylor]: Taking taylor expansion of 1 in z 0.133 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.133 * [taylor]: Taking taylor expansion of 1/2 in y 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.133 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.133 * [taylor]: Taking taylor expansion of z in y 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.133 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.136 * [taylor]: Taking taylor expansion of 0 in z 0.136 * [taylor]: Taking taylor expansion of 0 in z 0.136 * [taylor]: Taking taylor expansion of 0 in z 0.138 * [taylor]: Taking taylor expansion of 0 in y 0.140 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.140 * [taylor]: Taking taylor expansion of 1/2 in z 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.140 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.140 * [taylor]: Taking taylor expansion of z in z 0.141 * [taylor]: Taking taylor expansion of 0 in z 0.141 * [taylor]: Taking taylor expansion of 0 in z 0.145 * [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 0.145 * [taylor]: Taking taylor expansion of -1/2 in y 0.145 * [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 0.145 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.145 * [taylor]: Taking taylor expansion of 1/4 in y 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.145 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.145 * [taylor]: Taking taylor expansion of z in y 0.145 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.145 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.145 * [taylor]: Taking taylor expansion of 1/2 in y 0.145 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.145 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.145 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.145 * [taylor]: Taking taylor expansion of z in y 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.146 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.146 * [taylor]: Taking taylor expansion of 1/4 in y 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.146 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.146 * [taylor]: Taking taylor expansion of y in y 0.159 * [taylor]: Taking taylor expansion of 0 in z 0.159 * [taylor]: Taking taylor expansion of 0 in z 0.161 * [taylor]: Taking taylor expansion of 0 in z 0.161 * [taylor]: Taking taylor expansion of 0 in z 0.161 * [taylor]: Taking taylor expansion of 0 in z 0.162 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.163 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.163 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.163 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.163 * [taylor]: Taking taylor expansion of x in y 0.163 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.163 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.163 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.163 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.163 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.163 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.163 * [taylor]: Taking taylor expansion of 0 in y 0.164 * [taylor]: Taking taylor expansion of 1 in y 0.165 * [taylor]: Taking taylor expansion of 0 in y 0.167 * [taylor]: Taking taylor expansion of 0 in y 0.168 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.168 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.168 * [taylor]: Taking taylor expansion of x in y 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.168 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.168 * [taylor]: Taking taylor expansion of y in y 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.168 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.169 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.169 * [taylor]: Taking taylor expansion of y in x 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.169 * [taylor]: Taking taylor expansion of x 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 in y 0.171 * [taylor]: Taking taylor expansion of 0 in y 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.172 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.172 * [taylor]: Taking taylor expansion of y in y 0.174 * [taylor]: Taking taylor expansion of 0 in y 0.177 * [taylor]: Taking taylor expansion of 0 in y 0.178 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.178 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.178 * [taylor]: Taking taylor expansion of x in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.179 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.179 * [taylor]: Taking taylor expansion of y in y 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.179 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.180 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.180 * [taylor]: Taking taylor expansion of y in x 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.180 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.180 * [taylor]: Taking taylor expansion of y in x 0.181 * [taylor]: Taking taylor expansion of 1 in y 0.182 * [taylor]: Taking taylor expansion of 0 in y 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.183 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.183 * [taylor]: Taking taylor expansion of y in y 0.185 * [taylor]: Taking taylor expansion of 0 in y 0.187 * [taylor]: Taking taylor expansion of 0 in y 0.189 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.189 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in (x y z) around 0 0.189 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.189 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.189 * [taylor]: Taking taylor expansion of x in z 0.189 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.189 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.189 * [taylor]: Taking taylor expansion of y in z 0.189 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.189 * [taylor]: Taking taylor expansion of z in z 0.189 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.189 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.189 * [taylor]: Taking taylor expansion of x in y 0.189 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.189 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.189 * [taylor]: Taking taylor expansion of y in y 0.189 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.189 * [taylor]: Taking taylor expansion of z in y 0.189 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.189 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.189 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.189 * [taylor]: Taking taylor expansion of y in x 0.189 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.189 * [taylor]: Taking taylor expansion of z in x 0.189 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.189 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.189 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.189 * [taylor]: Taking taylor expansion of y in x 0.189 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.189 * [taylor]: Taking taylor expansion of z in x 0.190 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 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 0.190 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.190 * [taylor]: Taking taylor expansion of z in y 0.190 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.190 * [taylor]: Taking taylor expansion of z in z 0.190 * [taylor]: Taking taylor expansion of 0 in y 0.191 * [taylor]: Taking taylor expansion of 0 in z 0.191 * [taylor]: Taking taylor expansion of 0 in z 0.192 * [taylor]: Taking taylor expansion of 1 in y 0.192 * [taylor]: Taking taylor expansion of 1 in z 0.192 * [taylor]: Taking taylor expansion of 0 in z 0.193 * [taylor]: Taking taylor expansion of 1 in z 0.194 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.194 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.194 * [taylor]: Taking taylor expansion of x in z 0.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.194 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.194 * [taylor]: Taking taylor expansion of z in z 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.195 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.195 * [taylor]: Taking taylor expansion of y in z 0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.195 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.195 * [taylor]: Taking taylor expansion of x in y 0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.195 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.195 * [taylor]: Taking taylor expansion of z in y 0.195 * [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 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.196 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.196 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.196 * [taylor]: Taking taylor expansion of z in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.196 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.196 * [taylor]: Taking taylor expansion of y in x 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.197 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.197 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.197 * [taylor]: Taking taylor expansion of z in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.197 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.197 * [taylor]: Taking taylor expansion of y in x 0.198 * [taylor]: Taking taylor expansion of 1 in y 0.199 * [taylor]: Taking taylor expansion of 0 in y 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.200 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.200 * [taylor]: Taking taylor expansion of z in y 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.200 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.200 * [taylor]: Taking taylor expansion of y in y 0.201 * [taylor]: Taking taylor expansion of 1 in z 0.201 * [taylor]: Taking taylor expansion of 1 in z 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.204 * [taylor]: Taking taylor expansion of 0 in z 0.204 * [taylor]: Taking taylor expansion of 0 in z 0.204 * [taylor]: Taking taylor expansion of 0 in z 0.206 * [taylor]: Taking taylor expansion of 0 in y 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.208 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.208 * [taylor]: Taking taylor expansion of z in z 0.208 * [taylor]: Taking taylor expansion of 0 in z 0.208 * [taylor]: Taking taylor expansion of 0 in z 0.209 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.209 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.209 * [taylor]: Taking taylor expansion of x in z 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.209 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.209 * [taylor]: Taking taylor expansion of z in z 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.210 * [taylor]: Taking taylor expansion of y in z 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.210 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.210 * [taylor]: Taking taylor expansion of x in y 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.210 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.210 * [taylor]: Taking taylor expansion of z in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.211 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.211 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.211 * [taylor]: Taking taylor expansion of z in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.211 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.211 * [taylor]: Taking taylor expansion of y in x 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.212 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.212 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.212 * [taylor]: Taking taylor expansion of z in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.212 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.212 * [taylor]: Taking taylor expansion of y in x 0.213 * [taylor]: Taking taylor expansion of 1 in y 0.214 * [taylor]: Taking taylor expansion of 0 in y 0.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.215 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.215 * [taylor]: Taking taylor expansion of z in y 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.215 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.216 * [taylor]: Taking taylor expansion of 1 in z 0.216 * [taylor]: Taking taylor expansion of 1 in z 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.219 * [taylor]: Taking taylor expansion of 0 in z 0.219 * [taylor]: Taking taylor expansion of 0 in z 0.219 * [taylor]: Taking taylor expansion of 0 in z 0.222 * [taylor]: Taking taylor expansion of 0 in y 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.223 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.223 * [taylor]: Taking taylor expansion of z in z 0.223 * [taylor]: Taking taylor expansion of 0 in z 0.223 * [taylor]: Taking taylor expansion of 0 in z 0.224 * * * [progress]: simplifying candidates 0.225 * [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)) (* (* (exp (* x x)) (exp (* y y))) (exp (* z z))) (* (exp (+ (* x x) (* y y))) (exp (* z z))) (log (+ (+ (* x x) (* y y)) (* z z))) (exp (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (+ (+ (* x x) (* y y)) (* z z))) (* (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))) (- (+ (* x x) (* y y)) (* z z)) (+ (* y y) (* z z)) z x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (+ (pow y 2) (pow z 2))) 0.229 * * [simplify]: iteration 0 : 209 enodes (cost 340 ) 0.234 * * [simplify]: iteration 1 : 959 enodes (cost 320 ) 0.248 * * [simplify]: iteration 2 : 3316 enodes (cost 316 ) 0.309 * * [simplify]: iteration 3 : 5001 enodes (cost 315 ) 0.311 * [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)) (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)) z x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z)) 0.311 * * * [progress]: adding candidates to table 0.421 * * [progress]: iteration 2 / 4 0.421 * * * [progress]: picking best candidate 0.424 * * * * [pick]: Picked # 0.424 * * * [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 ) 0.428 * [simplify]: Simplified to: 0.428 * * * [progress]: adding candidates to table 0.429 * * [progress]: iteration 3 / 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 # : 0.433 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.433 * [simplify]: Simplified to: 0.433 * * * [progress]: adding candidates to table 0.433 * * [progress]: iteration 4 / 4 0.434 * * * [progress]: picking best candidate 0.434 * * * * [pick]: Picked # 0.434 * * * [progress]: localizing error 0.435 * * * [progress]: generating rewritten candidates 0.435 * * * [progress]: generating series expansions 0.435 * * * [progress]: simplifying candidates 0.435 * [simplify]: Simplifying using # : 0.437 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.437 * [simplify]: Simplified to: 0.437 * * * [progress]: adding candidates to table 0.437 * [progress]: [Phase 3 of 3] Extracting. 0.437 * * [regime]: Finding splitpoints for: (# # # #) 0.438 * * * [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) 0.438 * * * * [regimes]: Trying to branch on (* z z) from (# # # #) 0.463 * * * * [regimes]: Trying to branch on (* z z) from (# # #) 0.487 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 0.504 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 0.522 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.535 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # #) 0.554 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 0.568 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (# # # #) 0.587 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (# # # #) 0.606 * * * * [regimes]: Trying to branch on z from (# # # #) 0.637 * * * * [regimes]: Trying to branch on y from (# # # #) 0.655 * * * * [regimes]: Trying to branch on x from (# # # #) 0.681 * * * [regime]: Found split indices: #