21.427 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying using # : (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.029 * * [simplify]: iteration 0 : 9 enodes (cost 13 ) 0.031 * * [simplify]: iteration 1 : 18 enodes (cost 12 ) 0.033 * * [simplify]: iteration 2 : 44 enodes (cost 10 ) 0.040 * * [simplify]: iteration 3 : 69 enodes (cost 9 ) 0.049 * * [simplify]: iteration 4 : 71 enodes (cost 9 ) 0.058 * * [simplify]: iteration done : 71 enodes (cost 9 ) 0.058 * [simplify]: Simplified to: (fma x (fma y 2.0 x) (* y y)) 0.062 * * [progress]: iteration 1 / 4 0.062 * * * [progress]: picking best candidate 0.064 * * * * [pick]: Picked # 0.064 * * * [progress]: localizing error 0.072 * * * [progress]: generating rewritten candidates 0.072 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.075 * * * [progress]: generating series expansions 0.075 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.076 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.076 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.076 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.076 * [taylor]: Taking taylor expansion of x in y 0.076 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.076 * [taylor]: Taking taylor expansion of 2.0 in y 0.076 * [taylor]: Taking taylor expansion of (* x y) in y 0.076 * [taylor]: Taking taylor expansion of x in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.076 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.076 * [taylor]: Taking taylor expansion of 2.0 in x 0.076 * [taylor]: Taking taylor expansion of (* x y) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.076 * [taylor]: Taking taylor expansion of 2.0 in x 0.076 * [taylor]: Taking taylor expansion of (* x y) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.078 * [taylor]: Taking taylor expansion of 2.0 in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of 1 in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.091 * [taylor]: Taking taylor expansion of x in y 0.091 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.091 * [taylor]: Taking taylor expansion of 2.0 in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.091 * [taylor]: Taking taylor expansion of (* x y) in y 0.091 * [taylor]: Taking taylor expansion of x in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.092 * [taylor]: Taking taylor expansion of 2.0 in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.092 * [taylor]: Taking taylor expansion of (* x y) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of y in x 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.093 * [taylor]: Taking taylor expansion of 2.0 in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.093 * [taylor]: Taking taylor expansion of (* x y) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of y in x 0.094 * [taylor]: Taking taylor expansion of 1 in y 0.095 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.095 * [taylor]: Taking taylor expansion of 2.0 in y 0.095 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.095 * [taylor]: Taking taylor expansion of y in y 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.107 * [taylor]: Taking taylor expansion of x in y 0.107 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.108 * [taylor]: Taking taylor expansion of 2.0 in y 0.108 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.108 * [taylor]: Taking taylor expansion of (* x y) in y 0.108 * [taylor]: Taking taylor expansion of x in y 0.108 * [taylor]: Taking taylor expansion of y in y 0.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.109 * [taylor]: Taking taylor expansion of 2.0 in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.109 * [taylor]: Taking taylor expansion of (* x y) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of y in x 0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.109 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.110 * [taylor]: Taking taylor expansion of 2.0 in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.110 * [taylor]: Taking taylor expansion of (* x y) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [taylor]: Taking taylor expansion of 1 in y 0.112 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.112 * [taylor]: Taking taylor expansion of 2.0 in y 0.112 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.123 * [taylor]: Taking taylor expansion of 0 in y 0.124 * * * [progress]: simplifying candidates 0.124 * [simplify]: Simplifying using # : (expm1 (+ (* x x) (* (* x 2.0) y))) (log1p (+ (* x x) (* (* x 2.0) y))) (* (exp (* x x)) (exp (* (* x 2.0) y))) (log (+ (* x x) (* (* x 2.0) y))) (exp (+ (* x x) (* (* x 2.0) y))) (* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y)))) (cbrt (+ (* x x) (* (* x 2.0) y))) (* (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (+ (pow (* x x) 3) (pow (* (* x 2.0) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x x) (* (* x 2.0) y)))) (- (* (* x x) (* x x)) (* (* (* x 2.0) y) (* (* x 2.0) y))) (- (* x x) (* (* x 2.0) y)) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) 0.126 * * [simplify]: iteration 0 : 35 enodes (cost 228 ) 0.134 * * [simplify]: iteration 1 : 114 enodes (cost 203 ) 0.187 * * [simplify]: iteration 2 : 508 enodes (cost 160 ) 0.472 * * [simplify]: iteration 3 : 2114 enodes (cost 145 ) 2.453 * * [simplify]: iteration done : 5001 enodes (cost 145 ) 2.453 * [simplify]: Simplified to: (expm1 (* x (fma y 2.0 x))) (log1p (* x (fma y 2.0 x))) (pow (exp x) (fma y 2.0 x)) (log (* x (fma y 2.0 x))) (pow (exp x) (fma y 2.0 x)) (* (cbrt (* x (fma y 2.0 x))) (cbrt (* x (fma y 2.0 x)))) (cbrt (* x (fma y 2.0 x))) (pow (* x (fma y 2.0 x)) 3) (sqrt (* x (fma y 2.0 x))) (sqrt (* x (fma y 2.0 x))) (+ (pow (* (* x 2.0) y) 3) (pow x 6)) (fma (* (* x 2.0) y) (* x (- (* 2.0 y) x)) (pow x 4)) (* (* x (fma y 2.0 x)) (* x (- x (* 2.0 y)))) (* x (- x (* 2.0 y))) (* x (fma y 2.0 x)) (* x (fma y 2.0 x)) (* x (fma y 2.0 x)) 2.453 * * * [progress]: adding candidates to table 2.501 * [progress]: [Phase 3 of 3] Extracting. 2.503 * [simplify]: Simplifying using # : (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 2.503 * * [simplify]: iteration 0 : 9 enodes (cost 13 ) 2.504 * * [simplify]: iteration 1 : 13 enodes (cost 13 ) 2.504 * * [simplify]: iteration done : 13 enodes (cost 13 ) 2.504 * [simplify]: Simplified to: (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 3.171 * [regime-testing]: End program error score: 0.01222088854883904 3.190 * [regime-testing]: Target error score: 0.01454429928777155