8.274 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (sqrt (+ (* x x) (* y y))) 0.017 * * [simplify]: iteration 0 : 9 enodes (cost 1 ) 0.019 * * [simplify]: iteration 1 : 11 enodes (cost 1 ) 0.022 * * [simplify]: iteration 2 : 11 enodes (cost 1 ) 0.022 * [simplify]: Simplified to: (hypot x y) 0.025 * * [progress]: iteration 1 / 4 0.025 * * * [progress]: picking best candidate 0.027 * * * * [pick]: Picked # 0.027 * * * [progress]: localizing error 0.030 * * * [progress]: generating rewritten candidates 0.030 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.031 * * * [progress]: generating series expansions 0.031 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.031 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 0.031 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.031 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.031 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.031 * [taylor]: Taking taylor expansion of (* x x) in y 0.031 * [taylor]: Taking taylor expansion of x in y 0.031 * [taylor]: Taking taylor expansion of x in y 0.031 * [taylor]: Taking taylor expansion of (* y y) in y 0.031 * [taylor]: Taking taylor expansion of y in y 0.031 * [taylor]: Taking taylor expansion of y in y 0.033 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.033 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.033 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.033 * [taylor]: Taking taylor expansion of (* x x) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (* y y) in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.034 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.034 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.034 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.034 * [taylor]: Taking taylor expansion of (* x x) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of (* y y) in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.038 * [taylor]: Taking taylor expansion of 1/2 in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 0.041 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.041 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.041 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.041 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.045 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.045 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.045 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.048 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.048 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.048 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of 1 in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.055 * [taylor]: Taking taylor expansion of 1/2 in y 0.055 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 0.060 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 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 y 0.060 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.060 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.060 * [taylor]: Taking taylor expansion of -1 in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.060 * [taylor]: Taking taylor expansion of -1 in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.060 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.060 * [taylor]: Taking taylor expansion of -1 in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.060 * [taylor]: Taking taylor expansion of -1 in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.064 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.064 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.064 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.064 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.064 * [taylor]: Taking taylor expansion of -1 in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.065 * [taylor]: Taking taylor expansion of -1 in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.065 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.065 * [taylor]: Taking taylor expansion of -1 in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.066 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.066 * [taylor]: Taking taylor expansion of -1 in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.069 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.069 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.069 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.069 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.069 * [taylor]: Taking taylor expansion of -1 in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.069 * [taylor]: Taking taylor expansion of -1 in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.069 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.069 * [taylor]: Taking taylor expansion of -1 in x 0.069 * [taylor]: Taking taylor expansion of y in x 0.069 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.070 * [taylor]: Taking taylor expansion of -1 in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.072 * [taylor]: Taking taylor expansion of 1 in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.075 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.075 * [taylor]: Taking taylor expansion of 1/2 in y 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.080 * * * [progress]: simplifying candidates 0.081 * [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) 0.084 * * [simplify]: iteration 0 : 22 enodes (cost 27 ) 0.087 * * [simplify]: iteration 1 : 25 enodes (cost 24 ) 0.089 * * [simplify]: iteration 2 : 29 enodes (cost 24 ) 0.091 * * [simplify]: iteration 3 : 34 enodes (cost 24 ) 0.094 * * [simplify]: iteration 4 : 53 enodes (cost 24 ) 0.097 * * [simplify]: iteration 5 : 107 enodes (cost 24 ) 0.103 * * [simplify]: iteration 6 : 513 enodes (cost 24 ) 0.122 * * [simplify]: iteration 7 : 1687 enodes (cost 24 ) 0.194 * * [simplify]: iteration 8 : 5001 enodes (cost 24 ) 0.194 * [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) 0.195 * * * [progress]: adding candidates to table 0.229 * [progress]: [Phase 3 of 3] Extracting. 0.230 * [simplify]: Simplifying using # : (hypot x y) 0.231 * * [simplify]: iteration 0 : 3 enodes (cost 1 ) 0.231 * [simplify]: Simplified to: (hypot x y) 0.617 * [regime-testing]: End program error score: 0.0023752969121140144 0.649 * [regime-testing]: Target error score: 17.70426342682803