4.115 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (+ (+ (* x x) y) y) 0.017 * * [simplify]: iteration 0 : 10 enodes (cost 2 ) 0.019 * * [simplify]: iteration 1 : 14 enodes (cost 2 ) 0.020 * * [simplify]: iteration 2 : 16 enodes (cost 2 ) 0.022 * * [simplify]: iteration 3 : 17 enodes (cost 2 ) 0.023 * * [simplify]: iteration 4 : 17 enodes (cost 2 ) 0.023 * [simplify]: Simplified to: (+ y (fma x x y)) 0.026 * * [progress]: iteration 1 / 4 0.026 * * * [progress]: picking best candidate 0.027 * * * * [pick]: Picked # 0.027 * * * [progress]: localizing error 0.031 * * * [progress]: generating rewritten candidates 0.031 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.035 * * * [progress]: generating series expansions 0.035 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.035 * [approximate]: Taking taylor expansion of (+ (fma x x y) y) in (y x) around 0 0.035 * [taylor]: Taking taylor expansion of (+ (fma x x y) y) in x 0.035 * [taylor]: Taking taylor expansion of (fma x x y) in x 0.035 * [taylor]: Rewrote expression to (+ (* x x) y) 0.035 * [taylor]: Taking taylor expansion of (* x x) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [taylor]: Taking taylor expansion of (+ (fma x x y) y) in y 0.035 * [taylor]: Taking taylor expansion of (fma x x y) in y 0.035 * [taylor]: Rewrote expression to (+ (* x x) y) 0.035 * [taylor]: Taking taylor expansion of (* x x) in y 0.035 * [taylor]: Taking taylor expansion of x in y 0.035 * [taylor]: Taking taylor expansion of x in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of (+ (fma x x y) y) in y 0.035 * [taylor]: Taking taylor expansion of (fma x x y) in y 0.035 * [taylor]: Rewrote expression to (+ (* x x) y) 0.035 * [taylor]: Taking taylor expansion of (* x x) in y 0.035 * [taylor]: Taking taylor expansion of x in y 0.035 * [taylor]: Taking taylor expansion of x in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of 2 in x 0.037 * [taylor]: Taking taylor expansion of 0 in x 0.038 * [taylor]: Taking taylor expansion of 0 in x 0.040 * [taylor]: Taking taylor expansion of 0 in x 0.040 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (fma (/ 1 x) (/ 1 x) (/ 1 y))) in (y x) around 0 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x 0.041 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.041 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (fma (/ 1 x) (/ 1 x) (/ 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 0.042 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in y 0.042 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.042 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (fma (/ 1 x) (/ 1 x) (/ 1 y))) in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in y 0.043 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.043 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.043 * [taylor]: Taking taylor expansion of x in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.043 * [taylor]: Taking taylor expansion of x in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of 2 in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of 0 in x 0.050 * [taylor]: Taking taylor expansion of 0 in x 0.053 * [taylor]: Taking taylor expansion of 0 in x 0.057 * [taylor]: Taking taylor expansion of 0 in x 0.057 * [approximate]: Taking taylor expansion of (- (fma (/ -1 x) (/ -1 x) (/ -1 y)) (/ 1 y)) in (y x) around 0 0.057 * [taylor]: Taking taylor expansion of (- (fma (/ -1 x) (/ -1 x) (/ -1 y)) (/ 1 y)) in x 0.057 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x 0.057 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 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 0.057 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.057 * [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) 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 y in x 0.058 * [taylor]: Taking taylor expansion of (- (fma (/ -1 x) (/ -1 x) (/ -1 y)) (/ 1 y)) in y 0.058 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in y 0.058 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.058 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.058 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.058 * [taylor]: Taking taylor expansion of -1 in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.058 * [taylor]: Taking taylor expansion of -1 in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.058 * [taylor]: Taking taylor expansion of -1 in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of (- (fma (/ -1 x) (/ -1 x) (/ -1 y)) (/ 1 y)) in y 0.059 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in y 0.059 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.059 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.059 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.059 * [taylor]: Taking taylor expansion of -1 in y 0.059 * [taylor]: Taking taylor expansion of x in y 0.059 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.059 * [taylor]: Taking taylor expansion of -1 in y 0.059 * [taylor]: Taking taylor expansion of x in y 0.059 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.059 * [taylor]: Taking taylor expansion of -1 in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of -2 in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.062 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of 0 in x 0.068 * [taylor]: Taking taylor expansion of 0 in x 0.076 * [taylor]: Taking taylor expansion of 0 in x 0.081 * [taylor]: Taking taylor expansion of 0 in x 0.081 * * * [progress]: simplifying candidates 0.082 * [simplify]: Simplifying using # : (expm1 (+ y (fma x x y))) (log1p (+ y (fma x x y))) (* (exp y) (exp (fma x x y))) (log (+ y (fma x x y))) (exp (+ y (fma x x y))) (* (cbrt (+ y (fma x x y))) (cbrt (+ y (fma x x y)))) (cbrt (+ y (fma x x y))) (* (* (+ y (fma x x y)) (+ y (fma x x y))) (+ y (fma x x y))) (sqrt (+ y (fma x x y))) (sqrt (+ y (fma x x y))) (+ (pow y 3) (pow (fma x x y) 3)) (+ (* y y) (- (* (fma x x y) (fma x x y)) (* y (fma x x y)))) (- (* y y) (* (fma x x y) (fma x x y))) (- y (fma x x y)) (+ y (fma x x y)) (+ y (* x x)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) 0.085 * * [simplify]: iteration 0 : 80 enodes (cost 68 ) 0.089 * * [simplify]: iteration 1 : 232 enodes (cost 59 ) 0.094 * * [simplify]: iteration 2 : 949 enodes (cost 59 ) 0.119 * * [simplify]: iteration 3 : 5001 enodes (cost 58 ) 0.120 * [simplify]: Simplified to: (expm1 (+ y (fma x x y))) (log1p (+ y (fma x x y))) (exp (+ y (fma x x y))) (log (+ y (fma x x y))) (exp (+ y (fma x x y))) (* (cbrt (+ y (fma x x y))) (cbrt (+ y (fma x x y)))) (cbrt (+ y (fma x x y))) (pow (+ y (fma x x y)) 3) (sqrt (+ y (fma x x y))) (sqrt (+ y (fma x x y))) (+ (pow y 3) (pow (fma x x y) 3)) (fma (pow x 2) (fma x x y) (* y y)) (- (* y y) (* (fma x x y) (fma x x y))) (- y (fma x x y)) (fma y 2 (pow x 2)) (fma x x y) (fma y 2 (pow x 2)) (fma y 2 (pow x 2)) (fma y 2 (pow x 2)) 0.120 * * * [progress]: adding candidates to table 0.162 * * [progress]: iteration 2 / 4 0.162 * * * [progress]: picking best candidate 0.163 * * * * [pick]: Picked # 0.163 * * * [progress]: localizing error 0.172 * * * [progress]: generating rewritten candidates 0.172 * * * [progress]: generating series expansions 0.172 * * * [progress]: simplifying candidates 0.172 * [simplify]: Simplifying using # : 0.175 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.175 * [simplify]: Simplified to: 0.175 * * * [progress]: adding candidates to table 0.175 * [progress]: [Phase 3 of 3] Extracting. 0.177 * [simplify]: Simplifying using # : (fma y 2 (pow x 2)) 0.178 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.178 * [simplify]: Simplified to: (fma y 2 (pow x 2)) 0.618 * [regime-testing]: End program error score: 0.004000500062507814 0.635 * [regime-testing]: Target error score: 0.004000500062507814