21.170 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.021 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.024 * * [simplify]: iteration 1 : 25 enodes (cost 6 ) 0.027 * * [simplify]: iteration 2 : 31 enodes (cost 6 ) 0.029 * * [simplify]: iteration 3 : 32 enodes (cost 6 ) 0.031 * * [simplify]: iteration 4 : 32 enodes (cost 6 ) 0.031 * [simplify]: Simplified to: (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.047 * * * [progress]: generating rewritten candidates 0.047 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.053 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.060 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.066 * * * [progress]: generating series expansions 0.066 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.066 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.066 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.066 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.066 * [taylor]: Taking taylor expansion of x in z 0.066 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.066 * [taylor]: Taking taylor expansion of y in z 0.066 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.066 * [taylor]: Taking taylor expansion of z in z 0.068 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.068 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.068 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.068 * [taylor]: Taking taylor expansion of x in y 0.068 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.068 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.068 * [taylor]: Taking taylor expansion of z in y 0.069 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.069 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.069 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.069 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.069 * [taylor]: Taking taylor expansion of y in x 0.069 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.070 * [taylor]: Taking taylor expansion of z in x 0.071 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.071 * [taylor]: Taking taylor expansion of z in x 0.072 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.072 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.072 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.072 * [taylor]: Taking taylor expansion of z in y 0.073 * [taylor]: Taking taylor expansion of z in z 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [taylor]: Taking taylor expansion of 0 in z 0.073 * [taylor]: Taking taylor expansion of 0 in z 0.075 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.075 * [taylor]: Taking taylor expansion of 1/2 in y 0.075 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.075 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.075 * [taylor]: Taking taylor expansion of z in y 0.076 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.076 * [taylor]: Taking taylor expansion of 1/2 in z 0.076 * [taylor]: Taking taylor expansion of z in z 0.077 * [taylor]: Taking taylor expansion of 0 in z 0.079 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.079 * [taylor]: Taking taylor expansion of 1/2 in z 0.079 * [taylor]: Taking taylor expansion of z in z 0.080 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.080 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.080 * [taylor]: Taking taylor expansion of x in z 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.080 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.080 * [taylor]: Taking taylor expansion of z in z 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.081 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.081 * [taylor]: Taking taylor expansion of y in z 0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.084 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.084 * [taylor]: Taking taylor expansion of x in y 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.084 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.084 * [taylor]: Taking taylor expansion of z in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.084 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.087 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.088 * [taylor]: Taking taylor expansion of z in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.091 * [taylor]: Taking taylor expansion of z in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.093 * [taylor]: Taking taylor expansion of 1 in y 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [taylor]: Taking taylor expansion of 1 in z 0.096 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.096 * [taylor]: Taking taylor expansion of 1/2 in y 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.096 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.096 * [taylor]: Taking taylor expansion of z in y 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.096 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.096 * [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 0.098 * [taylor]: Taking taylor expansion of 0 in z 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.103 * [taylor]: Taking taylor expansion of 1/2 in z 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.103 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.103 * [taylor]: Taking taylor expansion of z in z 0.105 * [taylor]: Taking taylor expansion of 0 in z 0.105 * [taylor]: Taking taylor expansion of 0 in z 0.109 * [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 0.109 * [taylor]: Taking taylor expansion of -1/2 in y 0.109 * [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 0.109 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.109 * [taylor]: Taking taylor expansion of 1/4 in y 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.109 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.109 * [taylor]: Taking taylor expansion of z in y 0.109 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.109 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.109 * [taylor]: Taking taylor expansion of 1/2 in y 0.109 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.109 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.109 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.109 * [taylor]: Taking taylor expansion of z in y 0.109 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.110 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.110 * [taylor]: Taking taylor expansion of 1/4 in y 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.110 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.110 * [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 0.123 * [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 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.126 * [taylor]: Taking taylor expansion of x in z 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.126 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.126 * [taylor]: Taking taylor expansion of z in z 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.127 * [taylor]: Taking taylor expansion of y in z 0.130 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.130 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.130 * [taylor]: Taking taylor expansion of x in y 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.130 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.130 * [taylor]: Taking taylor expansion of z in y 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.130 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.134 * [taylor]: Taking taylor expansion of z in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.136 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.136 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.137 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.137 * [taylor]: Taking taylor expansion of z in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.137 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.137 * [taylor]: Taking taylor expansion of y in x 0.139 * [taylor]: Taking taylor expansion of 1 in y 0.139 * [taylor]: Taking taylor expansion of 0 in y 0.140 * [taylor]: Taking taylor expansion of 1 in z 0.142 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.142 * [taylor]: Taking taylor expansion of 1/2 in y 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.142 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.142 * [taylor]: Taking taylor expansion of z in y 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.142 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.145 * [taylor]: Taking taylor expansion of 0 in z 0.145 * [taylor]: Taking taylor expansion of 0 in z 0.145 * [taylor]: Taking taylor expansion of 0 in z 0.151 * [taylor]: Taking taylor expansion of 0 in y 0.153 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.153 * [taylor]: Taking taylor expansion of 1/2 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 0.155 * [taylor]: Taking taylor expansion of 0 in z 0.155 * [taylor]: Taking taylor expansion of 0 in z 0.159 * [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 0.159 * [taylor]: Taking taylor expansion of -1/2 in y 0.159 * [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 0.159 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.159 * [taylor]: Taking taylor expansion of 1/4 in y 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.159 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.159 * [taylor]: Taking taylor expansion of z in y 0.160 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.160 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.160 * [taylor]: Taking taylor expansion of 1/2 in y 0.160 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.160 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.160 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.160 * [taylor]: Taking taylor expansion of z in y 0.160 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.160 * [taylor]: Taking taylor expansion of y in y 0.160 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.160 * [taylor]: Taking taylor expansion of 1/4 in y 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.160 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.160 * [taylor]: Taking taylor expansion of y in y 0.171 * [taylor]: Taking taylor expansion of 0 in z 0.171 * [taylor]: Taking taylor expansion of 0 in z 0.174 * [taylor]: Taking taylor expansion of 0 in z 0.174 * [taylor]: Taking taylor expansion of 0 in z 0.174 * [taylor]: Taking taylor expansion of 0 in z 0.176 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.176 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in (x y z) around 0 0.176 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.176 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.176 * [taylor]: Taking taylor expansion of x in z 0.176 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.176 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.176 * [taylor]: Taking taylor expansion of y in z 0.176 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.176 * [taylor]: Taking taylor expansion of z in z 0.176 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.176 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.176 * [taylor]: Taking taylor expansion of x in y 0.176 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.176 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.176 * [taylor]: Taking taylor expansion of y in y 0.176 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.176 * [taylor]: Taking taylor expansion of z in y 0.176 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.176 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.177 * [taylor]: Taking taylor expansion of z in x 0.177 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.177 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.177 * [taylor]: Taking taylor expansion of z in x 0.177 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.177 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.177 * [taylor]: Taking taylor expansion of z in y 0.177 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.177 * [taylor]: Taking taylor expansion of z in z 0.178 * [taylor]: Taking taylor expansion of 0 in y 0.178 * [taylor]: Taking taylor expansion of 0 in z 0.179 * [taylor]: Taking taylor expansion of 0 in z 0.180 * [taylor]: Taking taylor expansion of 1 in y 0.180 * [taylor]: Taking taylor expansion of 1 in z 0.180 * [taylor]: Taking taylor expansion of 0 in z 0.181 * [taylor]: Taking taylor expansion of 1 in z 0.182 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.182 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.182 * [taylor]: Taking taylor expansion of x in z 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.183 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.183 * [taylor]: Taking taylor expansion of z in z 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.183 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.183 * [taylor]: Taking taylor expansion of y in z 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.184 * [taylor]: Taking taylor expansion of x in y 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.184 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.184 * [taylor]: Taking taylor expansion of z in y 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.184 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.184 * [taylor]: Taking taylor expansion of y in y 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.184 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.185 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.185 * [taylor]: Taking taylor expansion of z in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.185 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.185 * [taylor]: Taking taylor expansion of y in x 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.185 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.186 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.186 * [taylor]: Taking taylor expansion of z in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.186 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.187 * [taylor]: Taking taylor expansion of 1 in y 0.188 * [taylor]: Taking taylor expansion of 0 in y 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) 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 (/ 1 (pow y 2)) in y 0.189 * [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 1 in z 0.190 * [taylor]: Taking taylor expansion of 1 in z 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.194 * [taylor]: Taking taylor expansion of 0 in z 0.194 * [taylor]: Taking taylor expansion of 0 in z 0.194 * [taylor]: Taking taylor expansion of 0 in z 0.197 * [taylor]: Taking taylor expansion of 0 in y 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.198 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.198 * [taylor]: Taking taylor expansion of z in z 0.199 * [taylor]: Taking taylor expansion of 0 in z 0.199 * [taylor]: Taking taylor expansion of 0 in z 0.200 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.200 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.200 * [taylor]: Taking taylor expansion of x in z 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.200 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.200 * [taylor]: Taking taylor expansion of z in z 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.201 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.201 * [taylor]: Taking taylor expansion of y in z 0.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.201 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.201 * [taylor]: Taking taylor expansion of x in y 0.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.201 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.201 * [taylor]: Taking taylor expansion of z 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 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 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 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.203 * [taylor]: Taking taylor expansion of z in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.203 * [taylor]: Taking taylor expansion of y in x 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.204 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.204 * [taylor]: Taking taylor expansion of z in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.204 * [taylor]: Taking taylor expansion of 1 in y 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.207 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.207 * [taylor]: Taking taylor expansion of z in y 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.207 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.208 * [taylor]: Taking taylor expansion of 1 in z 0.208 * [taylor]: Taking taylor expansion of 1 in z 0.210 * [taylor]: Taking taylor expansion of 0 in y 0.211 * [taylor]: Taking taylor expansion of 0 in z 0.211 * [taylor]: Taking taylor expansion of 0 in z 0.211 * [taylor]: Taking taylor expansion of 0 in z 0.214 * [taylor]: Taking taylor expansion of 0 in y 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.215 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.216 * [taylor]: Taking taylor expansion of z in z 0.216 * [taylor]: Taking taylor expansion of 0 in z 0.216 * [taylor]: Taking taylor expansion of 0 in z 0.217 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.217 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.217 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.217 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.217 * [taylor]: Taking taylor expansion of x in y 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.217 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.217 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.217 * [taylor]: Taking taylor expansion of y in x 0.217 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.217 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.217 * [taylor]: Taking taylor expansion of y in x 0.218 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.219 * [taylor]: Taking taylor expansion of 1 in y 0.220 * [taylor]: Taking taylor expansion of 0 in y 0.222 * [taylor]: Taking taylor expansion of 0 in y 0.223 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.223 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.223 * [taylor]: Taking taylor expansion of x in y 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.223 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.224 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.225 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.225 * [taylor]: Taking taylor expansion of y in x 0.226 * [taylor]: Taking taylor expansion of 1 in y 0.227 * [taylor]: Taking taylor expansion of 0 in y 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.228 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.234 * [taylor]: Taking taylor expansion of 0 in y 0.235 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.235 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.235 * [taylor]: Taking taylor expansion of x in y 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.235 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.235 * [taylor]: Taking taylor expansion of y in y 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.236 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.237 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.237 * [taylor]: Taking taylor expansion of y in x 0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.237 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.237 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.238 * [taylor]: Taking taylor expansion of y in x 0.238 * [taylor]: Taking taylor expansion of 1 in y 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.240 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.241 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.251 * * * [progress]: simplifying candidates 0.252 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (expm1 (+ (+ (* x x) (* y y)) (* z z))) (log1p (+ (+ (* x x) (* y y)) (* z z))) (* (* (exp (* x x)) (exp (* y y))) (exp (* z z))) (* (exp (+ (* x x) (* y y))) (exp (* z z))) (log (+ (+ (* x x) (* y y)) (* z z))) (exp (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (+ (+ (* x x) (* y y)) (* z z))) (* (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))) (- (+ (* x x) (* y y)) (* z z)) (+ (* y y) (* z z)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) z x (* -1 x) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.258 * * [simplify]: iteration 0 : 225 enodes (cost 355 ) 0.266 * * [simplify]: iteration 1 : 1043 enodes (cost 323 ) 0.289 * * [simplify]: iteration 2 : 3749 enodes (cost 312 ) 0.366 * * [simplify]: iteration 3 : 5001 enodes (cost 309 ) 0.369 * [simplify]: Simplified to: (expm1 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (hypot (pow z 3) (pow (fma x x (* y y)) 3/2)) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z))) 1/2 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (expm1 (+ (+ (* x x) (* y y)) (* z z))) (log1p (+ (+ (* x x) (* y y)) (* z z))) (exp (fma x x (fma y y (* z z)))) (exp (fma x x (fma y y (* z z)))) (log (+ (+ (* x x) (* y y)) (* z z))) (exp (fma x x (fma y y (* z z)))) (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (+ (+ (* x x) (* y y)) (* z z))) (pow (fma x x (fma y y (* z z))) 3) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fma z (pow z 5) (pow (fma x x (* y y)) 3)) (fma (fma x x (* y y)) (fma x x (- (pow y 2) (pow z 2))) (pow z 4)) (* (fma x x (- (pow y 2) (pow z 2))) (fma x x (fma y y (* z z)))) (fma x x (- (pow y 2) (pow z 2))) (fma y y (* z z)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (fma x x (* y y)) 3) (hypot x y) (hypot x y) (fma y (pow y 5) (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* x x) (* y y)) z x (* -1 x) (fma x x (fma y y (* z z))) (fma x x (fma y y (* z z))) (fma x x (fma y y (* z z))) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.369 * * * [progress]: adding candidates to table 0.514 * * [progress]: iteration 2 / 4 0.514 * * * [progress]: picking best candidate 0.519 * * * * [pick]: Picked # 0.519 * * * [progress]: localizing error 0.527 * * * [progress]: generating rewritten candidates 0.527 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.531 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.536 * * * [progress]: generating series expansions 0.536 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.537 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.537 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.537 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.537 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.537 * [taylor]: Taking taylor expansion of x in y 0.537 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.537 * [taylor]: Taking taylor expansion of y in y 0.538 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.538 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.538 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.538 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.538 * [taylor]: Taking taylor expansion of y in x 0.539 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.539 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.539 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.539 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.539 * [taylor]: Taking taylor expansion of y in x 0.539 * [taylor]: Taking taylor expansion of y in y 0.539 * [taylor]: Taking taylor expansion of 0 in y 0.541 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.541 * [taylor]: Taking taylor expansion of 1/2 in y 0.541 * [taylor]: Taking taylor expansion of y in y 0.543 * [taylor]: Taking taylor expansion of 0 in y 0.544 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.544 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.544 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.544 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.544 * [taylor]: Taking taylor expansion of x in y 0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.544 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.544 * [taylor]: Taking taylor expansion of y in y 0.547 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.547 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.547 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.547 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.547 * [taylor]: Taking taylor expansion of y in x 0.549 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.550 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.550 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.550 * [taylor]: Taking taylor expansion of y in x 0.552 * [taylor]: Taking taylor expansion of 1 in y 0.552 * [taylor]: Taking taylor expansion of 0 in y 0.555 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.555 * [taylor]: Taking taylor expansion of 1/2 in y 0.555 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.555 * [taylor]: Taking taylor expansion of y in y 0.558 * [taylor]: Taking taylor expansion of 0 in y 0.559 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.559 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.559 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.560 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.560 * [taylor]: Taking taylor expansion of x in y 0.560 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.560 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.560 * [taylor]: Taking taylor expansion of y in y 0.562 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.562 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.562 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.562 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.563 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.563 * [taylor]: Taking taylor expansion of y in x 0.565 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.565 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.565 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.565 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.566 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.566 * [taylor]: Taking taylor expansion of y in x 0.568 * [taylor]: Taking taylor expansion of 1 in y 0.568 * [taylor]: Taking taylor expansion of 0 in y 0.570 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.570 * [taylor]: Taking taylor expansion of 1/2 in y 0.570 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.573 * [taylor]: Taking taylor expansion of 0 in y 0.575 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.575 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.575 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.575 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.575 * [taylor]: Taking taylor expansion of x in y 0.575 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.575 * [taylor]: Taking taylor expansion of y in y 0.575 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.575 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.575 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.575 * [taylor]: Taking taylor expansion of y in x 0.575 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.575 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.575 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.575 * [taylor]: Taking taylor expansion of y in x 0.575 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.575 * [taylor]: Taking taylor expansion of y in y 0.576 * [taylor]: Taking taylor expansion of 0 in y 0.577 * [taylor]: Taking taylor expansion of 1 in y 0.578 * [taylor]: Taking taylor expansion of 0 in y 0.580 * [taylor]: Taking taylor expansion of 0 in y 0.581 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.581 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.581 * [taylor]: Taking taylor expansion of x in y 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.581 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.581 * [taylor]: Taking taylor expansion of y in y 0.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.581 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 0.583 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 1 in y 0.584 * [taylor]: Taking taylor expansion of 0 in y 0.585 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.585 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.585 * [taylor]: Taking taylor expansion of y in y 0.588 * [taylor]: Taking taylor expansion of 0 in y 0.591 * [taylor]: Taking taylor expansion of 0 in y 0.592 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.592 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.592 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.592 * [taylor]: Taking taylor expansion of x in y 0.593 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.593 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.593 * [taylor]: Taking taylor expansion of y in y 0.593 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.593 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.593 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.594 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.594 * [taylor]: Taking taylor expansion of y in x 0.594 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.594 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.594 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.595 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.595 * [taylor]: Taking taylor expansion of y in x 0.595 * [taylor]: Taking taylor expansion of 1 in y 0.596 * [taylor]: Taking taylor expansion of 0 in y 0.597 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.597 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.597 * [taylor]: Taking taylor expansion of y in y 0.599 * [taylor]: Taking taylor expansion of 0 in y 0.606 * [taylor]: Taking taylor expansion of 0 in y 0.608 * * * [progress]: simplifying candidates 0.608 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* x x) (* y y)))) (log1p (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) y x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.613 * * [simplify]: iteration 0 : 136 enodes (cost 177 ) 0.618 * * [simplify]: iteration 1 : 589 enodes (cost 162 ) 0.630 * * [simplify]: iteration 2 : 1761 enodes (cost 158 ) 0.676 * * [simplify]: iteration 3 : 5002 enodes (cost 156 ) 0.678 * [simplify]: Simplified to: (expm1 (sqrt (+ (* x x) (* y y)))) (log1p (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (hypot x y) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (hypot x y) (hypot (pow y 3) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (hypot x y) 6) (hypot x y) (hypot x y) (fma y (pow y 5) (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* x x) (* y y)) y x (* -1 x) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.678 * * * [progress]: adding candidates to table 0.772 * * [progress]: iteration 3 / 4 0.772 * * * [progress]: picking best candidate 0.774 * * * * [pick]: Picked # 0.774 * * * [progress]: localizing error 0.779 * * * [progress]: generating rewritten candidates 0.779 * * * [progress]: generating series expansions 0.779 * * * [progress]: simplifying candidates 0.779 * [simplify]: Simplifying using # : 0.782 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.782 * [simplify]: Simplified to: 0.782 * * * [progress]: adding candidates to table 0.782 * [progress]: [Phase 3 of 3] Extracting. 0.784 * [simplify]: Simplifying using # : (hypot (hypot x y) z) 0.786 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.786 * [simplify]: Simplified to: (hypot (hypot x y) z) 1.292 * [regime-testing]: End program error score: 0.005500687585948244 1.330 * [regime-testing]: Target error score: 25.270042189983684