22.604 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying using # : (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.024 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.027 * * [simplify]: iteration 1 : 25 enodes (cost 6 ) 0.029 * * [simplify]: iteration 2 : 31 enodes (cost 6 ) 0.031 * * [simplify]: iteration 3 : 32 enodes (cost 6 ) 0.034 * * [simplify]: iteration 4 : 32 enodes (cost 6 ) 0.034 * [simplify]: Simplified to: (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.037 * * * * [pick]: Picked # 0.037 * * * [progress]: localizing error 0.049 * * * [progress]: generating rewritten candidates 0.049 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.055 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.063 * * * [progress]: generating series expansions 0.063 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.063 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.063 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.063 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.063 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.063 * [taylor]: Taking taylor expansion of x in z 0.063 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.063 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.063 * [taylor]: Taking taylor expansion of y in z 0.063 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.063 * [taylor]: Taking taylor expansion of z in z 0.066 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.066 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.066 * [taylor]: Taking taylor expansion of x in y 0.066 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.066 * [taylor]: Taking taylor expansion of z in y 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 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 0.069 * [taylor]: Taking taylor expansion of z in x 0.071 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.071 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.071 * [taylor]: Taking taylor expansion of z in y 0.071 * [taylor]: Taking taylor expansion of z in z 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [taylor]: Taking taylor expansion of 0 in z 0.072 * [taylor]: Taking taylor expansion of 0 in z 0.074 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.074 * [taylor]: Taking taylor expansion of 1/2 in y 0.074 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.074 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.074 * [taylor]: Taking taylor expansion of z in y 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 * [taylor]: Taking taylor expansion of 0 in z 0.077 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.077 * [taylor]: Taking taylor expansion of 1/2 in z 0.077 * [taylor]: Taking taylor expansion of z in z 0.078 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.078 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.078 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.078 * [taylor]: Taking taylor expansion of x in z 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.078 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.078 * [taylor]: Taking taylor expansion of z in z 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.079 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.079 * [taylor]: Taking taylor expansion of y in z 0.081 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.082 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.082 * [taylor]: Taking taylor expansion of x in y 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.082 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.082 * [taylor]: Taking taylor expansion of z in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.082 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.085 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.085 * [taylor]: Taking taylor expansion of z in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.088 * [taylor]: Taking taylor expansion of z in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of 1 in y 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [taylor]: Taking taylor expansion of 1 in z 0.093 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.093 * [taylor]: Taking taylor expansion of 1/2 in y 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.093 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.093 * [taylor]: Taking taylor expansion of z in y 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.093 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.093 * [taylor]: Taking taylor expansion of y in y 0.095 * [taylor]: Taking taylor expansion of 0 in z 0.095 * [taylor]: Taking taylor expansion of 0 in z 0.095 * [taylor]: Taking taylor expansion of 0 in z 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.100 * [taylor]: Taking taylor expansion of 1/2 in z 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.100 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.100 * [taylor]: Taking taylor expansion of z in z 0.101 * [taylor]: Taking taylor expansion of 0 in z 0.101 * [taylor]: Taking taylor expansion of 0 in z 0.105 * [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 0.105 * [taylor]: Taking taylor expansion of -1/2 in y 0.105 * [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 0.105 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.105 * [taylor]: Taking taylor expansion of 1/4 in y 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.105 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.105 * [taylor]: Taking taylor expansion of z in y 0.105 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.105 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.106 * [taylor]: Taking taylor expansion of 1/2 in y 0.106 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.106 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.106 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.106 * [taylor]: Taking taylor expansion of z in y 0.106 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.106 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.106 * [taylor]: Taking taylor expansion of 1/4 in y 0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.106 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.116 * [taylor]: Taking taylor expansion of 0 in z 0.116 * [taylor]: Taking taylor expansion of 0 in z 0.119 * [taylor]: Taking taylor expansion of 0 in z 0.119 * [taylor]: Taking taylor expansion of 0 in z 0.119 * [taylor]: Taking taylor expansion of 0 in z 0.121 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.121 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.121 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.121 * [taylor]: Taking taylor expansion of x in z 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.121 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.121 * [taylor]: Taking taylor expansion of z in z 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.122 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.122 * [taylor]: Taking taylor expansion of y in z 0.125 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.125 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.125 * [taylor]: Taking taylor expansion of x in y 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.125 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.125 * [taylor]: Taking taylor expansion of z in y 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.126 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.129 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.129 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.129 * [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 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.130 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.130 * [taylor]: Taking taylor expansion of y in x 0.132 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.132 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.133 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.133 * [taylor]: Taking taylor expansion of z in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.133 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.135 * [taylor]: Taking taylor expansion of 1 in y 0.135 * [taylor]: Taking taylor expansion of 0 in y 0.135 * [taylor]: Taking taylor expansion of 1 in z 0.138 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.138 * [taylor]: Taking taylor expansion of 1/2 in y 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.138 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.138 * [taylor]: Taking taylor expansion of z in y 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.138 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.138 * [taylor]: Taking taylor expansion of y in y 0.140 * [taylor]: Taking taylor expansion of 0 in z 0.141 * [taylor]: Taking taylor expansion of 0 in z 0.141 * [taylor]: Taking taylor expansion of 0 in z 0.143 * [taylor]: Taking taylor expansion of 0 in y 0.151 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.151 * [taylor]: Taking taylor expansion of 1/2 in z 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.152 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.152 * [taylor]: Taking taylor expansion of z in z 0.153 * [taylor]: Taking taylor expansion of 0 in z 0.154 * [taylor]: Taking taylor expansion of 0 in z 0.158 * [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 0.158 * [taylor]: Taking taylor expansion of -1/2 in y 0.158 * [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 0.158 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.158 * [taylor]: Taking taylor expansion of 1/4 in y 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.158 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.158 * [taylor]: Taking taylor expansion of z in y 0.158 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.158 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.158 * [taylor]: Taking taylor expansion of 1/2 in y 0.158 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.158 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.158 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.158 * [taylor]: Taking taylor expansion of z in y 0.158 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.159 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.159 * [taylor]: Taking taylor expansion of 1/4 in y 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.159 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.170 * [taylor]: Taking taylor expansion of 0 in z 0.170 * [taylor]: Taking taylor expansion of 0 in z 0.173 * [taylor]: Taking taylor expansion of 0 in z 0.173 * [taylor]: Taking taylor expansion of 0 in z 0.173 * [taylor]: Taking taylor expansion of 0 in z 0.175 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.175 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in (x y z) around 0 0.175 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.175 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.175 * [taylor]: Taking taylor expansion of x in z 0.175 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.175 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.175 * [taylor]: Taking taylor expansion of y in z 0.175 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.175 * [taylor]: Taking taylor expansion of z in z 0.175 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.175 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.175 * [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 0.176 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.176 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.176 * [taylor]: Taking taylor expansion of y in x 0.176 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.176 * [taylor]: Taking taylor expansion of z in x 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 0.176 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.176 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.176 * [taylor]: Taking taylor expansion of y in x 0.176 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.176 * [taylor]: Taking taylor expansion of z in x 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 0.177 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.177 * [taylor]: Taking taylor expansion of z in z 0.177 * [taylor]: Taking taylor expansion of 0 in y 0.178 * [taylor]: Taking taylor expansion of 0 in z 0.178 * [taylor]: Taking taylor expansion of 0 in z 0.179 * [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 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.182 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.182 * [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 0.183 * [taylor]: Taking taylor expansion of x in y 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.183 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.183 * [taylor]: Taking taylor expansion of z 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 0.184 * [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 0.186 * [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 0.190 * [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 (/ 1 (pow y 2)) in y 0.190 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.190 * [taylor]: Taking taylor expansion of y in y 0.191 * [taylor]: Taking taylor expansion of 1 in z 0.191 * [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 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.202 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.202 * [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 0.206 * [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 0.212 * [taylor]: Taking taylor expansion of 0 in z 0.212 * [taylor]: Taking taylor expansion of 0 in z 0.215 * [taylor]: Taking taylor expansion of 0 in y 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.216 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.216 * [taylor]: Taking taylor expansion of z in z 0.217 * [taylor]: Taking taylor expansion of 0 in z 0.217 * [taylor]: Taking taylor expansion of 0 in z 0.218 * * * [progress]: simplifying candidates 0.218 * [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)) 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))) 0.223 * * [simplify]: iteration 0 : 152 enodes (cost 287 ) 0.230 * * [simplify]: iteration 1 : 659 enodes (cost 259 ) 0.245 * * [simplify]: iteration 2 : 2778 enodes (cost 251 ) 0.308 * * [simplify]: iteration 3 : 5002 enodes (cost 248 ) 0.310 * [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)))) 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)) 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))) 0.310 * * * [progress]: adding candidates to table 0.421 * * [progress]: iteration 2 / 4 0.421 * * * [progress]: picking best candidate 0.427 * * * * [pick]: Picked # 0.427 * * * [progress]: localizing error 0.435 * * * [progress]: generating rewritten candidates 0.435 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.440 * * * [progress]: generating series expansions 0.440 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.440 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.440 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.440 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.440 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.440 * [taylor]: Taking taylor expansion of x in y 0.440 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.440 * [taylor]: Taking taylor expansion of y in y 0.441 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.441 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.441 * [taylor]: Taking taylor expansion of y in x 0.442 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.442 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.442 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.442 * [taylor]: Taking taylor expansion of y in x 0.442 * [taylor]: Taking taylor expansion of y in y 0.443 * [taylor]: Taking taylor expansion of 0 in y 0.444 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.444 * [taylor]: Taking taylor expansion of 1/2 in y 0.444 * [taylor]: Taking taylor expansion of y in y 0.446 * [taylor]: Taking taylor expansion of 0 in y 0.447 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.447 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.447 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.447 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.447 * [taylor]: Taking taylor expansion of x in y 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.447 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.448 * [taylor]: Taking taylor expansion of y in y 0.450 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.450 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.450 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.451 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.451 * [taylor]: Taking taylor expansion of y in x 0.453 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.453 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.453 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.453 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.454 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.454 * [taylor]: Taking taylor expansion of y in x 0.456 * [taylor]: Taking taylor expansion of 1 in y 0.456 * [taylor]: Taking taylor expansion of 0 in y 0.458 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.459 * [taylor]: Taking taylor expansion of 1/2 in y 0.459 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.459 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of 0 in y 0.464 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.464 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.464 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.464 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.464 * [taylor]: Taking taylor expansion of x in y 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.464 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.464 * [taylor]: Taking taylor expansion of y in y 0.467 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.467 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.467 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.467 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.467 * [taylor]: Taking taylor expansion of y in x 0.470 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.470 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.470 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.471 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.471 * [taylor]: Taking taylor expansion of y in x 0.473 * [taylor]: Taking taylor expansion of 1 in y 0.473 * [taylor]: Taking taylor expansion of 0 in y 0.476 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.476 * [taylor]: Taking taylor expansion of 1/2 in y 0.476 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.476 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of 0 in y 0.481 * * * [progress]: simplifying candidates 0.481 * [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)))) y x (* -1 x) 0.485 * * [simplify]: iteration 0 : 98 enodes (cost 103 ) 0.489 * * [simplify]: iteration 1 : 254 enodes (cost 98 ) 0.496 * * [simplify]: iteration 2 : 619 enodes (cost 98 ) 0.510 * * [simplify]: iteration 3 : 1573 enodes (cost 98 ) 0.549 * * [simplify]: iteration 4 : 5001 enodes (cost 98 ) 0.551 * [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)))) (sqrt 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)))) y x (* -1 x) 0.551 * * * [progress]: adding candidates to table 0.610 * * [progress]: iteration 3 / 4 0.610 * * * [progress]: picking best candidate 0.612 * * * * [pick]: Picked # 0.612 * * * [progress]: localizing error 0.617 * * * [progress]: generating rewritten candidates 0.617 * * * [progress]: generating series expansions 0.617 * * * [progress]: simplifying candidates 0.617 * [simplify]: Simplifying using # : 0.620 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.620 * [simplify]: Simplified to: 0.620 * * * [progress]: adding candidates to table 0.621 * [progress]: [Phase 3 of 3] Extracting. 0.623 * [simplify]: Simplifying using # : (hypot (hypot x y) z) 0.624 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.624 * [simplify]: Simplified to: (hypot (hypot x y) z) 1.240 * [regime-testing]: End program error score: 0.005750718839854982 1.276 * [regime-testing]: Target error score: 25.483277275531044