11.104 * [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 (* y y)) 0.016 * * [simplify]: iteration 0 : 6 enodes (cost 2 ) 0.017 * * [simplify]: iteration 1 : 10 enodes (cost 2 ) 0.018 * * [simplify]: iteration 2 : 12 enodes (cost 2 ) 0.019 * * [simplify]: iteration 3 : 12 enodes (cost 2 ) 0.020 * [simplify]: Simplified to: (- x (* y y)) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.024 * * * [progress]: generating rewritten candidates 0.024 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.027 * * * [progress]: generating series expansions 0.027 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.028 * [approximate]: Taking taylor expansion of (- x (pow y 2)) in (x y) around 0 0.028 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in y 0.028 * [taylor]: Taking taylor expansion of x in y 0.028 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.028 * [taylor]: Taking taylor expansion of y in y 0.028 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.028 * [taylor]: Taking taylor expansion of y in x 0.028 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.028 * [taylor]: Taking taylor expansion of y in x 0.028 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.028 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.028 * [taylor]: Taking taylor expansion of y in y 0.029 * [taylor]: Taking taylor expansion of 1 in y 0.030 * [taylor]: Taking taylor expansion of 0 in y 0.031 * [taylor]: Taking taylor expansion of 0 in y 0.033 * [taylor]: Taking taylor expansion of 0 in y 0.033 * [approximate]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0 0.033 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in y 0.033 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.033 * [taylor]: Taking taylor expansion of x in y 0.033 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.034 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.034 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.034 * [taylor]: Taking taylor expansion of y in x 0.034 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [taylor]: Taking taylor expansion of 1 in y 0.036 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (/ 1 x))) in (x y) around 0 0.047 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (/ 1 x))) in y 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.048 * [taylor]: Taking taylor expansion of y 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 in y 0.049 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.060 * * * [progress]: simplifying candidates 0.061 * [simplify]: Simplifying using # : (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y y))) (fma (- y) y (* y y)) (fma (sqrt x) (sqrt x) (- (* y y))) (fma (- y) y (* y y)) (fma 1 x (- (* y y))) (fma (- y) y (* y y)) (expm1 (- x (* y y))) (log1p (- x (* y y))) (- (* y y)) (- (* y y)) (- (* y y)) (/ (exp x) (exp (* y y))) (log (- x (* y y))) (exp (- x (* y y))) (* (cbrt (- x (* y y))) (cbrt (- x (* y y)))) (cbrt (- x (* y y))) (* (* (- x (* y y)) (- x (* y y))) (- x (* y y))) (sqrt (- x (* y y))) (sqrt (- x (* y y))) (- (pow x 3) (pow (* y y) 3)) (+ (* x x) (+ (* (* y y) (* y y)) (* x (* y y)))) (- (* y y)) (- (* x x) (* (* y y) (* y y))) (+ x (* y y)) (+ (sqrt x) y) (- (sqrt x) y) (- (* y y)) (- x (pow y 2)) (- x (pow y 2)) (- x (pow y 2)) 0.064 * * [simplify]: iteration 0 : 97 enodes (cost 100 ) 0.066 * * [simplify]: iteration 1 : 288 enodes (cost 88 ) 0.071 * * [simplify]: iteration 2 : 1008 enodes (cost 87 ) 0.094 * * [simplify]: iteration 3 : 4455 enodes (cost 72 ) 0.213 * * [simplify]: iteration 4 : 5001 enodes (cost 72 ) 0.214 * [simplify]: Simplified to: (- x (pow y 2)) 0 (- x (pow y 2)) 0 (- x (pow y 2)) 0 (expm1 (- x (* y y))) (log1p (- x (* y y))) (- (* y y)) (- (* y y)) (- (* y y)) (exp (- x (* y y))) (log (- x (* y y))) (exp (- x (* y y))) (* (cbrt (- x (* y y))) (cbrt (- x (* y y)))) (cbrt (- x (* y y))) (pow (- x (pow y 2)) 3) (sqrt (- x (* y y))) (sqrt (- x (* y y))) (- (pow x 3) (pow (* y y) 3)) (fma x (fma y y x) (pow y 4)) (- (* y y)) (* (- x (pow y 2)) (fma y y x)) (fma y y x) (+ (sqrt x) y) (- (sqrt x) y) (- (* y y)) (- x (pow y 2)) (- x (pow y 2)) (- x (pow y 2)) 0.214 * * * [progress]: adding candidates to table 0.257 * [progress]: [Phase 3 of 3] Extracting. 0.259 * [simplify]: Simplifying using # : (- x (* y y)) 0.259 * * [simplify]: iteration 0 : 4 enodes (cost 2 ) 0.259 * [simplify]: Simplified to: (- x (* y y)) 0.633 * [regime-testing]: End program error score: 0.004875609451181397