31.806 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (sqrt (+ (* x x) (* y y))) 0.015 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.016 * * [simplify]: iteration 1 : 9 enodes (cost 3 ) 0.017 * * [simplify]: iteration 2 : 11 enodes (cost 3 ) 0.018 * * [simplify]: iteration done : 11 enodes (cost 3 ) 0.018 * [simplify]: Simplified to: (hypot x y) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.025 * * * [progress]: generating rewritten candidates 0.025 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.026 * * * [progress]: generating series expansions 0.026 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.026 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 0.026 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.026 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.026 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.026 * [taylor]: Taking taylor expansion of (* x x) in y 0.026 * [taylor]: Taking taylor expansion of x in y 0.026 * [taylor]: Taking taylor expansion of x in y 0.026 * [taylor]: Taking taylor expansion of (* y y) in y 0.026 * [taylor]: Taking taylor expansion of y in y 0.026 * [taylor]: Taking taylor expansion of y in y 0.028 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.028 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.028 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.028 * [taylor]: Taking taylor expansion of (* x x) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of (* y y) in x 0.028 * [taylor]: Taking taylor expansion of y in x 0.028 * [taylor]: Taking taylor expansion of y in x 0.029 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.029 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.029 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.029 * [taylor]: Taking taylor expansion of (* x x) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of (* y y) in x 0.029 * [taylor]: Taking taylor expansion of y in x 0.029 * [taylor]: Taking taylor expansion of y in x 0.030 * [taylor]: Taking taylor expansion of y in y 0.030 * [taylor]: Taking taylor expansion of 0 in y 0.032 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.032 * [taylor]: Taking taylor expansion of 1/2 in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.034 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 0.035 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.036 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.036 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.036 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.036 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.036 * [taylor]: Taking taylor expansion of x in y 0.036 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.036 * [taylor]: Taking taylor expansion of x in y 0.036 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.036 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.039 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.039 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.039 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.042 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.043 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.043 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of 1 in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.048 * [taylor]: Taking taylor expansion of 1/2 in y 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 0.053 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.054 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.054 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.054 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.054 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.054 * [taylor]: Taking taylor expansion of -1 in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.054 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.054 * [taylor]: Taking taylor expansion of -1 in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.054 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.054 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.054 * [taylor]: Taking taylor expansion of -1 in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.054 * [taylor]: Taking taylor expansion of -1 in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.057 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.057 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.057 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.057 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.057 * [taylor]: Taking taylor expansion of -1 in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.058 * [taylor]: Taking taylor expansion of -1 in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.058 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.058 * [taylor]: Taking taylor expansion of -1 in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.058 * [taylor]: Taking taylor expansion of -1 in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.061 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.061 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.061 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.061 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.061 * [taylor]: Taking taylor expansion of -1 in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.062 * [taylor]: Taking taylor expansion of -1 in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.062 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.062 * [taylor]: Taking taylor expansion of -1 in x 0.062 * [taylor]: Taking taylor expansion of y in x 0.062 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.062 * [taylor]: Taking taylor expansion of -1 in x 0.062 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of 1 in y 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.071 * [taylor]: Taking taylor expansion of 1/2 in y 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.076 * * * [progress]: simplifying candidates 0.077 * [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) 0.078 * * [simplify]: iteration 0 : 17 enodes (cost 60 ) 0.080 * * [simplify]: iteration 1 : 22 enodes (cost 58 ) 0.082 * * [simplify]: iteration 2 : 25 enodes (cost 52 ) 0.085 * * [simplify]: iteration 3 : 30 enodes (cost 52 ) 0.089 * * [simplify]: iteration 4 : 36 enodes (cost 52 ) 0.094 * * [simplify]: iteration 5 : 46 enodes (cost 52 ) 0.100 * * [simplify]: iteration 6 : 69 enodes (cost 52 ) 0.111 * * [simplify]: iteration 7 : 132 enodes (cost 52 ) 0.154 * * [simplify]: iteration 8 : 345 enodes (cost 52 ) 0.509 * * [simplify]: iteration 9 : 1273 enodes (cost 52 ) 2.562 * * [simplify]: iteration done : 5001 enodes (cost 52 ) 2.562 * [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 (- x) 2.562 * * * [progress]: adding candidates to table 2.595 * [progress]: [Phase 3 of 3] Extracting. 2.597 * [simplify]: Simplifying using # : (hypot x y) 2.597 * * [simplify]: iteration 0 : 3 enodes (cost 3 ) 2.597 * * [simplify]: iteration done : 3 enodes (cost 3 ) 2.597 * [simplify]: Simplified to: (hypot x y) 2.970 * [regime-testing]: End program error score: 0.0032504063007875983 3.001 * [regime-testing]: Target error score: 17.619030015408768