13.810 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying using # : (+ (+ (* x 2.0) (* x x)) (* y y)) 0.022 * * [simplify]: iteration 0 : 8 enodes (cost 11 ) 0.023 * * [simplify]: iteration 1 : 16 enodes (cost 9 ) 0.025 * * [simplify]: iteration 2 : 31 enodes (cost 8 ) 0.029 * * [simplify]: iteration 3 : 38 enodes (cost 8 ) 0.032 * * [simplify]: iteration done : 38 enodes (cost 8 ) 0.032 * [simplify]: Simplified to: (fma x (+ 2.0 x) (* y y)) 0.035 * * [progress]: iteration 1 / 4 0.035 * * * [progress]: picking best candidate 0.037 * * * * [pick]: Picked # 0.037 * * * [progress]: localizing error 0.042 * * * [progress]: generating rewritten candidates 0.042 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.043 * * * [progress]: generating series expansions 0.043 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.043 * [approximate]: Taking taylor expansion of (fma x (+ x 2.0) (pow y 2)) in (x y) around 0 0.043 * [taylor]: Taking taylor expansion of (fma x (+ x 2.0) (pow y 2)) in y 0.043 * [taylor]: Rewrote expression to (+ (* x (+ x 2.0)) (pow y 2)) 0.044 * [taylor]: Taking taylor expansion of (* x (+ x 2.0)) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of (+ x 2.0) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of 2.0 in y 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of (fma x (+ x 2.0) (pow y 2)) in x 0.044 * [taylor]: Rewrote expression to (+ (* x (+ x 2.0)) (pow y 2)) 0.044 * [taylor]: Taking taylor expansion of (* x (+ x 2.0)) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of 2.0 in x 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of (fma x (+ x 2.0) (pow y 2)) in x 0.044 * [taylor]: Rewrote expression to (+ (* x (+ x 2.0)) (pow y 2)) 0.044 * [taylor]: Taking taylor expansion of (* x (+ x 2.0)) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of 2.0 in x 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of 2.0 in y 0.048 * [taylor]: Taking taylor expansion of 1 in y 0.049 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 x) 2.0) (/ 1 (pow y 2))) in (x y) around 0 0.049 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 x) 2.0) (/ 1 (pow y 2))) in y 0.049 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (+ (/ 1 x) 2.0)) (/ 1 (pow y 2))) 0.049 * [taylor]: Taking taylor expansion of (* (/ 1 x) (+ (/ 1 x) 2.0)) in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [taylor]: Taking taylor expansion of 2.0 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 0.049 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 x) 2.0) (/ 1 (pow y 2))) in x 0.050 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (+ (/ 1 x) 2.0)) (/ 1 (pow y 2))) 0.050 * [taylor]: Taking taylor expansion of (* (/ 1 x) (+ (/ 1 x) 2.0)) in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of 2.0 in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 x) 2.0) (/ 1 (pow y 2))) in x 0.050 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (+ (/ 1 x) 2.0)) (/ 1 (pow y 2))) 0.050 * [taylor]: Taking taylor expansion of (* (/ 1 x) (+ (/ 1 x) 2.0)) in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of 2.0 in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of 1 in y 0.054 * [taylor]: Taking taylor expansion of 2.0 in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (- 2.0 (/ 1 x)) (/ 1 (pow y 2))) in (x y) around 0 0.060 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (- 2.0 (/ 1 x)) (/ 1 (pow y 2))) in y 0.060 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (- 2.0 (/ 1 x))) (/ 1 (pow y 2))) 0.060 * [taylor]: Taking taylor expansion of (* (/ -1 x) (- 2.0 (/ 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 (- 2.0 (/ 1 x)) in y 0.060 * [taylor]: Taking taylor expansion of 2.0 in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (- 2.0 (/ 1 x)) (/ 1 (pow y 2))) in x 0.061 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (- 2.0 (/ 1 x))) (/ 1 (pow y 2))) 0.061 * [taylor]: Taking taylor expansion of (* (/ -1 x) (- 2.0 (/ 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 (- 2.0 (/ 1 x)) in x 0.061 * [taylor]: Taking taylor expansion of 2.0 in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.062 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.062 * [taylor]: Taking taylor expansion of y in x 0.062 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (- 2.0 (/ 1 x)) (/ 1 (pow y 2))) in x 0.062 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (- 2.0 (/ 1 x))) (/ 1 (pow y 2))) 0.062 * [taylor]: Taking taylor expansion of (* (/ -1 x) (- 2.0 (/ 1 x))) in x 0.062 * [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 (- 2.0 (/ 1 x)) in x 0.062 * [taylor]: Taking taylor expansion of 2.0 in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.063 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of 1 in y 0.067 * [taylor]: Taking taylor expansion of (- 2.0) in y 0.067 * [taylor]: Taking taylor expansion of 2.0 in y 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.069 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.073 * * * [progress]: simplifying candidates 0.076 * [simplify]: Simplifying using # : (expm1 (fma x (+ 2.0 x) (* y y))) (log1p (fma x (+ 2.0 x) (* y y))) (* x (+ 2.0 x)) (log (fma x (+ 2.0 x) (* y y))) (exp (fma x (+ 2.0 x) (* y y))) (* (cbrt (fma x (+ 2.0 x) (* y y))) (cbrt (fma x (+ 2.0 x) (* y y)))) (cbrt (fma x (+ 2.0 x) (* y y))) (* (* (fma x (+ 2.0 x) (* y y)) (fma x (+ 2.0 x) (* y y))) (fma x (+ 2.0 x) (* y y))) (sqrt (fma x (+ 2.0 x) (* y y))) (sqrt (fma x (+ 2.0 x) (* y y))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.077 * * [simplify]: iteration 0 : 22 enodes (cost 146 ) 0.081 * * [simplify]: iteration 1 : 40 enodes (cost 143 ) 0.087 * * [simplify]: iteration 2 : 91 enodes (cost 121 ) 0.109 * * [simplify]: iteration 3 : 313 enodes (cost 121 ) 0.222 * * [simplify]: iteration 4 : 1589 enodes (cost 121 ) 0.767 * * [simplify]: iteration done : 5000 enodes (cost 121 ) 0.768 * [simplify]: Simplified to: (expm1 (fma x (+ 2.0 x) (* y y))) (log1p (fma x (+ 2.0 x) (* y y))) (* x (+ 2.0 x)) (log (fma x (+ 2.0 x) (* y y))) (exp (fma x (+ 2.0 x) (* y y))) (* (cbrt (fma x (+ 2.0 x) (* y y))) (cbrt (fma x (+ 2.0 x) (* y y)))) (cbrt (fma x (+ 2.0 x) (* y y))) (pow (fma x (+ 2.0 x) (* y y)) 3) (sqrt (fma x (+ 2.0 x) (* y y))) (sqrt (fma x (+ 2.0 x) (* y y))) (fma x (+ 2.0 x) (* y y)) (fma x (+ 2.0 x) (* y y)) (fma x (+ 2.0 x) (* y y)) 0.768 * * * [progress]: adding candidates to table 0.794 * * [progress]: iteration 2 / 4 0.794 * * * [progress]: picking best candidate 0.797 * * * * [pick]: Picked # 0.797 * * * [progress]: localizing error 0.804 * * * [progress]: generating rewritten candidates 0.804 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.806 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.819 * * * [progress]: generating series expansions 0.819 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.820 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in (x) around 0 0.820 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 0.820 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.820 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.820 * [taylor]: Taking taylor expansion of 2.0 in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.820 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 0.820 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.820 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.820 * [taylor]: Taking taylor expansion of 2.0 in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.832 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in (x) around 0 0.832 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.832 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.832 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.832 * [taylor]: Taking taylor expansion of x in x 0.833 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.833 * [taylor]: Taking taylor expansion of 2.0 in x 0.833 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.833 * [taylor]: Taking taylor expansion of x in x 0.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.833 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.833 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.833 * [taylor]: Taking taylor expansion of x in x 0.834 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.834 * [taylor]: Taking taylor expansion of 2.0 in x 0.834 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.834 * [taylor]: Taking taylor expansion of x in x 0.850 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in (x) around 0 0.851 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.851 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.851 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.851 * [taylor]: Taking taylor expansion of x in x 0.851 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.851 * [taylor]: Taking taylor expansion of 2.0 in x 0.851 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.851 * [taylor]: Taking taylor expansion of x in x 0.851 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.851 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.851 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.851 * [taylor]: Taking taylor expansion of x in x 0.852 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.852 * [taylor]: Taking taylor expansion of 2.0 in x 0.852 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.852 * [taylor]: Taking taylor expansion of x in x 0.872 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.873 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in (x y) around 0 0.873 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in y 0.873 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.873 * [taylor]: Taking taylor expansion of x in y 0.873 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 0.873 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.873 * [taylor]: Taking taylor expansion of 2.0 in y 0.873 * [taylor]: Taking taylor expansion of x in y 0.873 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.873 * [taylor]: Taking taylor expansion of y in y 0.873 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in x 0.873 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.873 * [taylor]: Taking taylor expansion of x in x 0.873 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in x 0.873 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.873 * [taylor]: Taking taylor expansion of 2.0 in x 0.873 * [taylor]: Taking taylor expansion of x in x 0.873 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.873 * [taylor]: Taking taylor expansion of y in x 0.873 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in x 0.873 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.873 * [taylor]: Taking taylor expansion of x in x 0.873 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in x 0.873 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.873 * [taylor]: Taking taylor expansion of 2.0 in x 0.873 * [taylor]: Taking taylor expansion of x in x 0.873 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.873 * [taylor]: Taking taylor expansion of y in x 0.874 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.874 * [taylor]: Taking taylor expansion of y in y 0.875 * [taylor]: Taking taylor expansion of 2.0 in y 0.877 * [taylor]: Taking taylor expansion of 1 in y 0.878 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in (x y) around 0 0.878 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 0.878 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.878 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.878 * [taylor]: Taking taylor expansion of x in y 0.878 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 0.878 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.878 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.878 * [taylor]: Taking taylor expansion of y in y 0.878 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.878 * [taylor]: Taking taylor expansion of 2.0 in y 0.878 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.878 * [taylor]: Taking taylor expansion of x in y 0.878 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x 0.878 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.879 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.879 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 0.879 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.879 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.879 * [taylor]: Taking taylor expansion of y in x 0.879 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.879 * [taylor]: Taking taylor expansion of 2.0 in x 0.879 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.880 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x 0.880 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.880 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.880 * [taylor]: Taking taylor expansion of x in x 0.880 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 0.880 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.880 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.880 * [taylor]: Taking taylor expansion of y in x 0.880 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.880 * [taylor]: Taking taylor expansion of 2.0 in x 0.880 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.880 * [taylor]: Taking taylor expansion of x in x 0.881 * [taylor]: Taking taylor expansion of 1 in y 0.883 * [taylor]: Taking taylor expansion of 2.0 in y 0.885 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.885 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.885 * [taylor]: Taking taylor expansion of y in y 0.888 * [taylor]: Taking taylor expansion of 0 in y 0.889 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in (x y) around 0 0.889 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 0.889 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.889 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.889 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.889 * [taylor]: Taking taylor expansion of x in y 0.889 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.889 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.889 * [taylor]: Taking taylor expansion of y in y 0.890 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.890 * [taylor]: Taking taylor expansion of 2.0 in y 0.890 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.890 * [taylor]: Taking taylor expansion of x in y 0.890 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x 0.890 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.890 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.890 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.890 * [taylor]: Taking taylor expansion of x in x 0.891 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.891 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.891 * [taylor]: Taking taylor expansion of y in x 0.891 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.891 * [taylor]: Taking taylor expansion of 2.0 in x 0.891 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.891 * [taylor]: Taking taylor expansion of x in x 0.891 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x 0.891 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.891 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.891 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.891 * [taylor]: Taking taylor expansion of x in x 0.892 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.892 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.892 * [taylor]: Taking taylor expansion of y in x 0.892 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.892 * [taylor]: Taking taylor expansion of 2.0 in x 0.892 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.892 * [taylor]: Taking taylor expansion of x in x 0.893 * [taylor]: Taking taylor expansion of 1 in y 0.895 * [taylor]: Taking taylor expansion of (- 2.0) in y 0.895 * [taylor]: Taking taylor expansion of 2.0 in y 0.897 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.897 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.897 * [taylor]: Taking taylor expansion of y in y 0.900 * [taylor]: Taking taylor expansion of 0 in y 0.902 * * * [progress]: simplifying candidates 0.903 * [simplify]: Simplifying using # : (expm1 (+ (* x 2.0) (* x x))) (log1p (+ (* x 2.0) (* x x))) (* (exp (* x 2.0)) (exp (* x x))) (log (+ (* x 2.0) (* x x))) (exp (+ (* x 2.0) (* x x))) (* (cbrt (+ (* x 2.0) (* x x))) (cbrt (+ (* x 2.0) (* x x)))) (cbrt (+ (* x 2.0) (* x x))) (* (* (+ (* x 2.0) (* x x)) (+ (* x 2.0) (* x x))) (+ (* x 2.0) (* x x))) (sqrt (+ (* x 2.0) (* x x))) (sqrt (+ (* x 2.0) (* x x))) (+ (pow (* x 2.0) 3) (pow (* x x) 3)) (+ (* (* x 2.0) (* x 2.0)) (- (* (* x x) (* x x)) (* (* x 2.0) (* x x)))) (- (* (* x 2.0) (* x 2.0)) (* (* x x) (* x x))) (- (* x 2.0) (* x x)) (+ 2.0 x) (expm1 (+ (+ (* x 2.0) (* x x)) (* y y))) (log1p (+ (+ (* x 2.0) (* x x)) (* y y))) (* (* (exp (* x 2.0)) (exp (* x x))) (exp (* y y))) (* (exp (+ (* x 2.0) (* x x))) (exp (* y y))) (log (+ (+ (* x 2.0) (* x x)) (* y y))) (exp (+ (+ (* x 2.0) (* x x)) (* y y))) (* (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))) (cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))) (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))) (* (* (+ (+ (* x 2.0) (* x x)) (* y y)) (+ (+ (* x 2.0) (* x x)) (* y y))) (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (+ (pow (+ (* x 2.0) (* x x)) 3) (pow (* y y) 3)) (+ (* (+ (* x 2.0) (* x x)) (+ (* x 2.0) (* x x))) (- (* (* y y) (* y y)) (* (+ (* x 2.0) (* x x)) (* y y)))) (- (* (+ (* x 2.0) (* x x)) (+ (* x 2.0) (* x x))) (* (* y y) (* y y))) (- (+ (* x 2.0) (* x x)) (* y y)) (+ (* x x) (* y y)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.905 * * [simplify]: iteration 0 : 61 enodes (cost 480 ) 0.915 * * [simplify]: iteration 1 : 198 enodes (cost 369 ) 0.964 * * [simplify]: iteration 2 : 919 enodes (cost 323 ) 1.300 * * [simplify]: iteration 3 : 3366 enodes (cost 317 ) 2.466 * * [simplify]: iteration done : 5000 enodes (cost 317 ) 2.467 * [simplify]: Simplified to: (expm1 (* x (+ 2.0 x))) (log1p (* x (+ 2.0 x))) (exp (* x (+ 2.0 x))) (log (* x (+ 2.0 x))) (exp (* x (+ 2.0 x))) (* (cbrt (* x (+ 2.0 x))) (cbrt (* x (+ 2.0 x)))) (cbrt (* x (+ 2.0 x))) (pow (* x (+ 2.0 x)) 3) (sqrt (* x (+ 2.0 x))) (sqrt (* x (+ 2.0 x))) (+ (pow (* x 2.0) 3) (pow x 6)) (* (fma 2.0 2.0 (* x (- x 2.0))) (* x x)) (* (* x (+ 2.0 x)) (* x (- 2.0 x))) (* x (- 2.0 x)) (+ 2.0 x) (expm1 (fma y y (* x (+ 2.0 x)))) (log1p (fma y y (* x (+ 2.0 x)))) (exp (fma y y (* x (+ 2.0 x)))) (exp (fma y y (* x (+ 2.0 x)))) (log (fma y y (* x (+ 2.0 x)))) (exp (fma y y (* x (+ 2.0 x)))) (* (cbrt (fma y y (* x (+ 2.0 x)))) (cbrt (fma y y (* x (+ 2.0 x))))) (cbrt (fma y y (* x (+ 2.0 x)))) (pow (fma y y (* x (+ 2.0 x))) 3) (sqrt (fma y y (* x (+ 2.0 x)))) (sqrt (fma y y (* x (+ 2.0 x)))) (+ (pow y 6) (pow (* x (+ 2.0 x)) 3)) (- (pow y 4) (* (* x (+ 2.0 x)) (- (* y y) (* x (+ 2.0 x))))) (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x))) (pow y 4)) (- (* x (+ 2.0 x)) (pow y 2)) (fma x x (pow y 2)) (* x (+ 2.0 x)) (* x (+ 2.0 x)) (* x (+ 2.0 x)) (fma y y (* x (+ 2.0 x))) (fma y y (* x (+ 2.0 x))) (fma y y (* x (+ 2.0 x))) 2.467 * * * [progress]: adding candidates to table 2.545 * * [progress]: iteration 3 / 4 2.546 * * * [progress]: picking best candidate 2.547 * * * * [pick]: Picked # 2.547 * * * [progress]: localizing error 2.553 * * * [progress]: generating rewritten candidates 2.553 * * * * [progress]: [ 1 / 1 ] rewriting at (2 3) 2.563 * * * [progress]: generating series expansions 2.563 * * * * [progress]: [ 1 / 1 ] generating series at (2 3) 2.563 * [approximate]: Taking taylor expansion of (* (+ x 2.0) x) in (x) around 0 2.563 * [taylor]: Taking taylor expansion of (* (+ x 2.0) x) in x 2.563 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 2.563 * [taylor]: Taking taylor expansion of x in x 2.563 * [taylor]: Taking taylor expansion of 2.0 in x 2.563 * [taylor]: Taking taylor expansion of x in x 2.563 * [taylor]: Taking taylor expansion of (* (+ x 2.0) x) in x 2.563 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 2.563 * [taylor]: Taking taylor expansion of x in x 2.563 * [taylor]: Taking taylor expansion of 2.0 in x 2.563 * [taylor]: Taking taylor expansion of x in x 2.572 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in (x) around 0 2.572 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in x 2.572 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 2.572 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.572 * [taylor]: Taking taylor expansion of x in x 2.573 * [taylor]: Taking taylor expansion of 2.0 in x 2.573 * [taylor]: Taking taylor expansion of x in x 2.573 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in x 2.573 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 2.573 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.573 * [taylor]: Taking taylor expansion of x in x 2.573 * [taylor]: Taking taylor expansion of 2.0 in x 2.573 * [taylor]: Taking taylor expansion of x in x 2.583 * [approximate]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in (x) around 0 2.584 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in x 2.584 * [taylor]: Taking taylor expansion of -1 in x 2.584 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in x 2.584 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 2.584 * [taylor]: Taking taylor expansion of 2.0 in x 2.584 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.584 * [taylor]: Taking taylor expansion of x in x 2.584 * [taylor]: Taking taylor expansion of x in x 2.585 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in x 2.585 * [taylor]: Taking taylor expansion of -1 in x 2.585 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in x 2.585 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 2.585 * [taylor]: Taking taylor expansion of 2.0 in x 2.585 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.585 * [taylor]: Taking taylor expansion of x in x 2.585 * [taylor]: Taking taylor expansion of x in x 2.606 * * * [progress]: simplifying candidates 2.606 * [simplify]: Simplifying using # : (expm1 (* x (+ 2.0 x))) (log1p (* x (+ 2.0 x))) (* x (+ 2.0 x)) (+ (log x) (log (+ 2.0 x))) (log (* x (+ 2.0 x))) (exp (* x (+ 2.0 x))) (* (* (* x x) x) (* (* (+ 2.0 x) (+ 2.0 x)) (+ 2.0 x))) (* (cbrt (* x (+ 2.0 x))) (cbrt (* x (+ 2.0 x)))) (cbrt (* x (+ 2.0 x))) (* (* (* x (+ 2.0 x)) (* x (+ 2.0 x))) (* x (+ 2.0 x))) (sqrt (* x (+ 2.0 x))) (sqrt (* x (+ 2.0 x))) (* (sqrt x) (sqrt (+ 2.0 x))) (* (sqrt x) (sqrt (+ 2.0 x))) (* x 2.0) (* x x) (* 2.0 x) (* x x) (* x (* (cbrt (+ 2.0 x)) (cbrt (+ 2.0 x)))) (* x (sqrt (+ 2.0 x))) (* x 1) (* x 1) (* (cbrt x) (+ 2.0 x)) (* (sqrt x) (+ 2.0 x)) (* x (+ 2.0 x)) (* x (+ (pow 2.0 3) (pow x 3))) (* x (- (* 2.0 2.0) (* x x))) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) 2.608 * * [simplify]: iteration 0 : 46 enodes (cost 206 ) 2.616 * * [simplify]: iteration 1 : 130 enodes (cost 193 ) 2.645 * * [simplify]: iteration 2 : 545 enodes (cost 174 ) 2.869 * * [simplify]: iteration 3 : 2345 enodes (cost 174 ) 4.361 * * [simplify]: iteration done : 5001 enodes (cost 174 ) 4.361 * [simplify]: Simplified to: (expm1 (* x (+ 2.0 x))) (log1p (* x (+ 2.0 x))) (* x (+ 2.0 x)) (log (* x (+ 2.0 x))) (log (* x (+ 2.0 x))) (exp (* x (+ 2.0 x))) (pow (* x (+ 2.0 x)) 3) (* (cbrt (* x (+ 2.0 x))) (cbrt (* x (+ 2.0 x)))) (cbrt (* x (+ 2.0 x))) (pow (* x (+ 2.0 x)) 3) (sqrt (* x (+ 2.0 x))) (sqrt (* x (+ 2.0 x))) (* (sqrt x) (sqrt (+ 2.0 x))) (* (sqrt x) (sqrt (+ 2.0 x))) (* 2.0 x) (pow x 2) (* 2.0 x) (pow x 2) (* x (* (cbrt (+ 2.0 x)) (cbrt (+ 2.0 x)))) (* x (sqrt (+ 2.0 x))) x x (* (cbrt x) (+ 2.0 x)) (* (sqrt x) (+ 2.0 x)) (* x (+ 2.0 x)) (fma (pow 2.0 3) x (pow x 4)) (* x (- (* 2.0 2.0) (* x x))) (* x (+ 2.0 x)) (* x (+ 2.0 x)) (* x (+ 2.0 x)) 4.361 * * * [progress]: adding candidates to table 4.411 * [progress]: [Phase 3 of 3] Extracting. 4.411 * * [regime]: Finding splitpoints for: (# #) 4.412 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (+ (* x 2.0) (* x x)) (+ (+ (* x 2.0) (* x x)) (* y y)) y x) 4.412 * * * * [regimes]: Trying to branch on (* y y) from (# #) 4.421 * * * * [regimes]: Trying to branch on (+ (* x 2.0) (* x x)) from (# #) 4.435 * * * * [regimes]: Trying to branch on (+ (+ (* x 2.0) (* x x)) (* y y)) from (# #) 4.446 * * * * [regimes]: Trying to branch on y from (# #) 4.457 * * * * [regimes]: Trying to branch on x from (# #) 4.470 * * * [regime]: Found split indices: #