18.287 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying using # : (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.031 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.033 * * [simplify]: iteration 1 : 25 enodes (cost 6 ) 0.035 * * [simplify]: iteration 2 : 31 enodes (cost 6 ) 0.037 * * [simplify]: iteration 3 : 32 enodes (cost 6 ) 0.038 * * [simplify]: iteration 4 : 32 enodes (cost 6 ) 0.038 * [simplify]: Simplified to: (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.039 * * [progress]: iteration 1 / 4 0.039 * * * [progress]: picking best candidate 0.041 * * * * [pick]: Picked # 0.041 * * * [progress]: localizing error 0.049 * * * [progress]: generating rewritten candidates 0.049 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.064 * * * [progress]: generating series expansions 0.064 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.064 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.064 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.064 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.064 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.064 * [taylor]: Taking taylor expansion of x in z 0.064 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.065 * [taylor]: Taking taylor expansion of y in z 0.065 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.065 * [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 0.067 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.067 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.067 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.067 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.067 * [taylor]: Taking taylor expansion of z in x 0.068 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.068 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.068 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.068 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.069 * [taylor]: Taking taylor expansion of z in x 0.070 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.070 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.070 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.070 * [taylor]: Taking taylor expansion of z in y 0.070 * [taylor]: Taking taylor expansion of z in z 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [taylor]: Taking taylor expansion of 0 in z 0.070 * [taylor]: Taking taylor expansion of 0 in z 0.072 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.072 * [taylor]: Taking taylor expansion of 1/2 in y 0.072 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.072 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.073 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.073 * [taylor]: Taking taylor expansion of z in y 0.073 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.073 * [taylor]: Taking taylor expansion of 1/2 in z 0.073 * [taylor]: Taking taylor expansion of z in z 0.074 * [taylor]: Taking taylor expansion of 0 in z 0.076 * [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 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.077 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.077 * [taylor]: Taking taylor expansion of x in z 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.077 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.077 * [taylor]: Taking taylor expansion of z in z 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.078 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.078 * [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 0.102 * [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 0.104 * [taylor]: Taking taylor expansion of 0 in z 0.104 * [taylor]: Taking taylor expansion of 0 in z 0.108 * [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 0.108 * [taylor]: Taking taylor expansion of -1/2 in y 0.108 * [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 0.108 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.108 * [taylor]: Taking taylor expansion of 1/4 in y 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.108 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.108 * [taylor]: Taking taylor expansion of z in y 0.108 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.108 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.108 * [taylor]: Taking taylor expansion of 1/2 in y 0.108 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.108 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.108 * [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 0.109 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.109 * [taylor]: Taking taylor expansion of 1/4 in y 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.109 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.119 * [taylor]: Taking taylor expansion of 0 in z 0.119 * [taylor]: Taking taylor expansion of 0 in z 0.122 * [taylor]: Taking taylor expansion of 0 in z 0.122 * [taylor]: Taking taylor expansion of 0 in z 0.122 * [taylor]: Taking taylor expansion of 0 in z 0.124 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.124 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.124 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.124 * [taylor]: Taking taylor expansion of x in z 0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.124 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.124 * [taylor]: Taking taylor expansion of z in z 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.125 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.125 * [taylor]: Taking taylor expansion of y in z 0.127 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.127 * [taylor]: Taking taylor expansion of x in y 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.128 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.128 * [taylor]: Taking taylor expansion of z in y 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.128 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.128 * [taylor]: Taking taylor expansion of y in y 0.131 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.131 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.131 * [taylor]: Taking taylor expansion of z in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.131 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.131 * [taylor]: Taking taylor expansion of y in x 0.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.134 * [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 1 in y 0.137 * [taylor]: Taking taylor expansion of 0 in y 0.137 * [taylor]: Taking taylor expansion of 1 in z 0.139 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.139 * [taylor]: Taking taylor expansion of 1/2 in y 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.139 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.139 * [taylor]: Taking taylor expansion of z in y 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.139 * [taylor]: Taking taylor expansion of y in y 0.142 * [taylor]: Taking taylor expansion of 0 in z 0.142 * [taylor]: Taking taylor expansion of 0 in z 0.142 * [taylor]: Taking taylor expansion of 0 in z 0.144 * [taylor]: Taking taylor expansion of 0 in y 0.146 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.146 * [taylor]: Taking taylor expansion of 1/2 in z 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.146 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.146 * [taylor]: Taking taylor expansion of z in z 0.148 * [taylor]: Taking taylor expansion of 0 in z 0.148 * [taylor]: Taking taylor expansion of 0 in z 0.152 * [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 0.152 * [taylor]: Taking taylor expansion of -1/2 in y 0.152 * [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 0.152 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.152 * [taylor]: Taking taylor expansion of 1/4 in y 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.152 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.152 * [taylor]: Taking taylor expansion of z in y 0.153 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.153 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.153 * [taylor]: Taking taylor expansion of 1/2 in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.153 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.153 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.153 * [taylor]: Taking taylor expansion of z in y 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.153 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.153 * [taylor]: Taking taylor expansion of 1/4 in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.153 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.164 * [taylor]: Taking taylor expansion of 0 in z 0.164 * [taylor]: Taking taylor expansion of 0 in z 0.166 * [taylor]: Taking taylor expansion of 0 in z 0.166 * [taylor]: Taking taylor expansion of 0 in z 0.166 * [taylor]: Taking taylor expansion of 0 in z 0.168 * * * [progress]: simplifying candidates 0.174 * [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)))) z x (* -1 x) 0.178 * * [simplify]: iteration 0 : 96 enodes (cost 156 ) 0.181 * * [simplify]: iteration 1 : 305 enodes (cost 148 ) 0.189 * * [simplify]: iteration 2 : 1103 enodes (cost 148 ) 0.213 * * [simplify]: iteration 3 : 4548 enodes (cost 148 ) 0.290 * * [simplify]: iteration 4 : 5001 enodes (cost 148 ) 0.292 * [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)))) z x (* -1 x) 0.292 * * * [progress]: adding candidates to table 0.356 * * [progress]: iteration 2 / 4 0.356 * * * [progress]: picking best candidate 0.362 * * * * [pick]: Picked # 0.362 * * * [progress]: localizing error 0.369 * * * [progress]: generating rewritten candidates 0.369 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.373 * * * [progress]: generating series expansions 0.373 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.374 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.374 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.374 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.374 * [taylor]: Taking taylor expansion of x in y 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.374 * [taylor]: Taking taylor expansion of y in y 0.375 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.375 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.375 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.375 * [taylor]: Taking taylor expansion of y in x 0.375 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.375 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.375 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.375 * [taylor]: Taking taylor expansion of y in x 0.376 * [taylor]: Taking taylor expansion of y in y 0.376 * [taylor]: Taking taylor expansion of 0 in y 0.377 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.378 * [taylor]: Taking taylor expansion of 1/2 in y 0.378 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of 0 in y 0.380 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.381 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.381 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.381 * [taylor]: Taking taylor expansion of x in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.383 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.383 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.384 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.384 * [taylor]: Taking taylor expansion of y in x 0.386 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.386 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.387 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.387 * [taylor]: Taking taylor expansion of y in x 0.389 * [taylor]: Taking taylor expansion of 1 in y 0.389 * [taylor]: Taking taylor expansion of 0 in y 0.391 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.391 * [taylor]: Taking taylor expansion of 1/2 in y 0.392 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.395 * [taylor]: Taking taylor expansion of 0 in y 0.396 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.396 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.396 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.396 * [taylor]: Taking taylor expansion of x in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.397 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.399 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.399 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.399 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.400 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.400 * [taylor]: Taking taylor expansion of y in x 0.402 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.402 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.402 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.402 * [taylor]: Taking taylor expansion of y in x 0.404 * [taylor]: Taking taylor expansion of 1 in y 0.405 * [taylor]: Taking taylor expansion of 0 in y 0.407 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.407 * [taylor]: Taking taylor expansion of 1/2 in y 0.407 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.407 * [taylor]: Taking taylor expansion of y in y 0.410 * [taylor]: Taking taylor expansion of 0 in y 0.411 * * * [progress]: simplifying candidates 0.412 * [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) 0.415 * * [simplify]: iteration 0 : 98 enodes (cost 103 ) 0.417 * * [simplify]: iteration 1 : 254 enodes (cost 98 ) 0.423 * * [simplify]: iteration 2 : 619 enodes (cost 98 ) 0.434 * * [simplify]: iteration 3 : 1573 enodes (cost 98 ) 0.466 * * [simplify]: iteration 4 : 5001 enodes (cost 98 ) 0.467 * [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) 0.468 * * * [progress]: adding candidates to table 0.528 * * [progress]: iteration 3 / 4 0.529 * * * [progress]: picking best candidate 0.530 * * * * [pick]: Picked # 0.530 * * * [progress]: localizing error 0.538 * * * [progress]: generating rewritten candidates 0.538 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.539 * * * [progress]: generating series expansions 0.539 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.539 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 0.539 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.539 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.539 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.539 * [taylor]: Taking taylor expansion of (* x x) in y 0.539 * [taylor]: Taking taylor expansion of x in y 0.539 * [taylor]: Taking taylor expansion of x in y 0.539 * [taylor]: Taking taylor expansion of (* y y) in y 0.539 * [taylor]: Taking taylor expansion of y in y 0.539 * [taylor]: Taking taylor expansion of y in y 0.541 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.541 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.541 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.541 * [taylor]: Taking taylor expansion of (* x x) in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.541 * [taylor]: Taking taylor expansion of (* y y) in x 0.541 * [taylor]: Taking taylor expansion of y in x 0.541 * [taylor]: Taking taylor expansion of y in x 0.542 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.542 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.542 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.542 * [taylor]: Taking taylor expansion of (* x x) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of (* y y) in x 0.542 * [taylor]: Taking taylor expansion of y in x 0.542 * [taylor]: Taking taylor expansion of y in x 0.543 * [taylor]: Taking taylor expansion of y in y 0.543 * [taylor]: Taking taylor expansion of 0 in y 0.545 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.545 * [taylor]: Taking taylor expansion of 1/2 in y 0.545 * [taylor]: Taking taylor expansion of y in y 0.547 * [taylor]: Taking taylor expansion of 0 in y 0.548 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 0.548 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.548 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.548 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.548 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.548 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.548 * [taylor]: Taking taylor expansion of x in y 0.548 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.548 * [taylor]: Taking taylor expansion of x in y 0.548 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.548 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.548 * [taylor]: Taking taylor expansion of y in y 0.548 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.549 * [taylor]: Taking taylor expansion of y in y 0.551 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.551 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.551 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.551 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.551 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.552 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.552 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.552 * [taylor]: Taking taylor expansion of y in x 0.552 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.552 * [taylor]: Taking taylor expansion of y in x 0.555 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.555 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.555 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.555 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.555 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.555 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.556 * [taylor]: Taking taylor expansion of y in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.556 * [taylor]: Taking taylor expansion of y in x 0.558 * [taylor]: Taking taylor expansion of 1 in y 0.558 * [taylor]: Taking taylor expansion of 0 in y 0.561 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.561 * [taylor]: Taking taylor expansion of 1/2 in y 0.561 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.561 * [taylor]: Taking taylor expansion of y in y 0.565 * [taylor]: Taking taylor expansion of 0 in y 0.566 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 0.566 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.566 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.566 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.566 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.566 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.566 * [taylor]: Taking taylor expansion of -1 in y 0.566 * [taylor]: Taking taylor expansion of x in y 0.566 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.566 * [taylor]: Taking taylor expansion of -1 in y 0.566 * [taylor]: Taking taylor expansion of x in y 0.566 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.566 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.566 * [taylor]: Taking taylor expansion of -1 in y 0.566 * [taylor]: Taking taylor expansion of y in y 0.567 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.567 * [taylor]: Taking taylor expansion of -1 in y 0.567 * [taylor]: Taking taylor expansion of y in y 0.570 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.570 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.570 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.570 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.570 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.570 * [taylor]: Taking taylor expansion of -1 in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.570 * [taylor]: Taking taylor expansion of -1 in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.571 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.571 * [taylor]: Taking taylor expansion of -1 in x 0.571 * [taylor]: Taking taylor expansion of y in x 0.571 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.571 * [taylor]: Taking taylor expansion of -1 in x 0.571 * [taylor]: Taking taylor expansion of y in x 0.573 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.573 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.573 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.574 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.574 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.574 * [taylor]: Taking taylor expansion of -1 in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.574 * [taylor]: Taking taylor expansion of -1 in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.574 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.574 * [taylor]: Taking taylor expansion of -1 in x 0.574 * [taylor]: Taking taylor expansion of y in x 0.574 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.574 * [taylor]: Taking taylor expansion of -1 in x 0.574 * [taylor]: Taking taylor expansion of y in x 0.577 * [taylor]: Taking taylor expansion of 1 in y 0.577 * [taylor]: Taking taylor expansion of 0 in y 0.580 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.580 * [taylor]: Taking taylor expansion of 1/2 in y 0.580 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.580 * [taylor]: Taking taylor expansion of y in y 0.584 * [taylor]: Taking taylor expansion of 0 in y 0.585 * * * [progress]: simplifying candidates 0.585 * [simplify]: Simplifying using # : (expm1 (hypot x y)) (log1p (hypot x y)) (+ (* x x) (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (* (* (hypot x y) (hypot x y)) (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) y x (* -1 x) 0.588 * * [simplify]: iteration 0 : 22 enodes (cost 27 ) 0.589 * * [simplify]: iteration 1 : 25 enodes (cost 24 ) 0.591 * * [simplify]: iteration 2 : 29 enodes (cost 24 ) 0.592 * * [simplify]: iteration 3 : 34 enodes (cost 24 ) 0.594 * * [simplify]: iteration 4 : 53 enodes (cost 24 ) 0.596 * * [simplify]: iteration 5 : 107 enodes (cost 24 ) 0.601 * * [simplify]: iteration 6 : 513 enodes (cost 24 ) 0.616 * * [simplify]: iteration 7 : 1687 enodes (cost 24 ) 0.683 * * [simplify]: iteration 8 : 5001 enodes (cost 24 ) 0.683 * [simplify]: Simplified to: (expm1 (hypot x y)) (log1p (hypot x y)) (fma x x (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (pow (hypot x y) 3) (sqrt (hypot x y)) (sqrt (hypot x y)) y x (* -1 x) 0.683 * * * [progress]: adding candidates to table 0.723 * [progress]: [Phase 3 of 3] Extracting. 0.725 * [simplify]: Simplifying using # : (hypot (hypot x y) z) 0.725 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.725 * [simplify]: Simplified to: (hypot (hypot x y) z) 1.235 * [regime-testing]: End program error score: 0.004375546943367921 1.273 * [regime-testing]: Target error score: 25.74679801322098