17.421 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying using # : (sqrt (+ (* x x) (* y y))) 0.028 * * [simplify]: iteration 0 : 9 enodes (cost 1 ) 0.030 * * [simplify]: iteration 1 : 11 enodes (cost 1 ) 0.033 * * [simplify]: iteration 2 : 11 enodes (cost 1 ) 0.033 * [simplify]: Simplified to: (hypot x y) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.038 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.041 * * * [progress]: generating rewritten candidates 0.041 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.042 * * * [progress]: generating series expansions 0.042 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.042 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 0.042 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.042 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.042 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.042 * [taylor]: Taking taylor expansion of (* x x) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [taylor]: Taking taylor expansion of (* y y) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.044 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.044 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.044 * [taylor]: Taking taylor expansion of (* x x) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (* y y) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.046 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.046 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.046 * [taylor]: Taking taylor expansion of (* x x) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (* y y) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.049 * [taylor]: Taking taylor expansion of 1/2 in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 0.052 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.052 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.052 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.052 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.056 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.056 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.056 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.060 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.060 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.060 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of 1 in y 0.064 * [taylor]: Taking taylor expansion of 0 in y 0.067 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.067 * [taylor]: Taking taylor expansion of 1/2 in y 0.067 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 0.073 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.073 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.073 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.073 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.073 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.073 * [taylor]: Taking taylor expansion of -1 in y 0.073 * [taylor]: Taking taylor expansion of x in y 0.073 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.073 * [taylor]: Taking taylor expansion of -1 in y 0.073 * [taylor]: Taking taylor expansion of x in y 0.073 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.073 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.073 * [taylor]: Taking taylor expansion of -1 in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.073 * [taylor]: Taking taylor expansion of -1 in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.076 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.076 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.077 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.077 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.077 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.077 * [taylor]: Taking taylor expansion of -1 in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.077 * [taylor]: Taking taylor expansion of -1 in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.077 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.077 * [taylor]: Taking taylor expansion of -1 in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.077 * [taylor]: Taking taylor expansion of -1 in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.080 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.080 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.080 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.080 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.081 * [taylor]: Taking taylor expansion of -1 in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.081 * [taylor]: Taking taylor expansion of -1 in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.081 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.081 * [taylor]: Taking taylor expansion of -1 in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.081 * [taylor]: Taking taylor expansion of -1 in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.084 * [taylor]: Taking taylor expansion of 1 in y 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.087 * [taylor]: Taking taylor expansion of 1/2 in y 0.087 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.097 * * * [progress]: simplifying candidates 0.097 * [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) 0.101 * * [simplify]: iteration 0 : 22 enodes (cost 27 ) 0.104 * * [simplify]: iteration 1 : 25 enodes (cost 24 ) 0.107 * * [simplify]: iteration 2 : 29 enodes (cost 24 ) 0.110 * * [simplify]: iteration 3 : 34 enodes (cost 24 ) 0.114 * * [simplify]: iteration 4 : 53 enodes (cost 24 ) 0.116 * * [simplify]: iteration 5 : 107 enodes (cost 24 ) 0.123 * * [simplify]: iteration 6 : 513 enodes (cost 24 ) 0.143 * * [simplify]: iteration 7 : 1687 enodes (cost 24 ) 0.218 * * [simplify]: iteration 8 : 5001 enodes (cost 24 ) 0.219 * [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) 0.219 * * * [progress]: adding candidates to table 0.250 * [progress]: [Phase 3 of 3] Extracting. 0.252 * [simplify]: Simplifying using # : (hypot x y) 0.253 * * [simplify]: iteration 0 : 3 enodes (cost 1 ) 0.253 * [simplify]: Simplified to: (hypot x y) 0.966 * [regime-testing]: End program error score: 0.0031253906738342293 0.999 * [regime-testing]: Target error score: 17.206592118733905