19.019 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying using # : (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.024 * * [simplify]: iteration 0 : 9 enodes (cost 13 ) 0.025 * * [simplify]: iteration 1 : 17 enodes (cost 13 ) 0.027 * * [simplify]: iteration 2 : 35 enodes (cost 11 ) 0.032 * * [simplify]: iteration 3 : 41 enodes (cost 11 ) 0.037 * * [simplify]: iteration done : 41 enodes (cost 11 ) 0.037 * [simplify]: Simplified to: (+ (* y y) (* x (+ (* 2.0 y) x))) 0.040 * * [progress]: iteration 1 / 4 0.040 * * * [progress]: picking best candidate 0.041 * * * * [pick]: Picked # 0.041 * * * [progress]: localizing error 0.051 * * * [progress]: generating rewritten candidates 0.051 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.054 * * * [progress]: generating series expansions 0.054 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.054 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.054 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.055 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.055 * [taylor]: Taking taylor expansion of x in y 0.055 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.055 * [taylor]: Taking taylor expansion of 2.0 in y 0.055 * [taylor]: Taking taylor expansion of (* x y) in y 0.055 * [taylor]: Taking taylor expansion of x in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.055 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.055 * [taylor]: Taking taylor expansion of 2.0 in x 0.055 * [taylor]: Taking taylor expansion of (* x y) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.055 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.055 * [taylor]: Taking taylor expansion of 2.0 in x 0.055 * [taylor]: Taking taylor expansion of (* x y) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.056 * [taylor]: Taking taylor expansion of 2.0 in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of 1 in y 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.064 * [taylor]: Taking taylor expansion of 0 in y 0.064 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.064 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.065 * [taylor]: Taking taylor expansion of x in y 0.065 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.065 * [taylor]: Taking taylor expansion of 2.0 in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.065 * [taylor]: Taking taylor expansion of (* x y) in y 0.065 * [taylor]: Taking taylor expansion of x in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.066 * [taylor]: Taking taylor expansion of 2.0 in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.066 * [taylor]: Taking taylor expansion of (* x y) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.067 * [taylor]: Taking taylor expansion of 2.0 in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.067 * [taylor]: Taking taylor expansion of (* x y) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [taylor]: Taking taylor expansion of 1 in y 0.068 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.068 * [taylor]: Taking taylor expansion of 2.0 in y 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.079 * [taylor]: Taking taylor expansion of x in y 0.079 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.079 * [taylor]: Taking taylor expansion of 2.0 in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.079 * [taylor]: Taking taylor expansion of (* x y) in y 0.079 * [taylor]: Taking taylor expansion of x in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.080 * [taylor]: Taking taylor expansion of 2.0 in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.080 * [taylor]: Taking taylor expansion of (* x y) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.081 * [taylor]: Taking taylor expansion of 2.0 in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.081 * [taylor]: Taking taylor expansion of (* x y) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [taylor]: Taking taylor expansion of 1 in y 0.082 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.082 * [taylor]: Taking taylor expansion of 2.0 in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.092 * * * [progress]: simplifying candidates 0.093 * [simplify]: Simplifying using # : (* (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))) 0.094 * * [simplify]: iteration 0 : 33 enodes (cost 208 ) 0.101 * * [simplify]: iteration 1 : 107 enodes (cost 201 ) 0.144 * * [simplify]: iteration 2 : 468 enodes (cost 145 ) 0.368 * * [simplify]: iteration 3 : 1820 enodes (cost 145 ) 2.670 * * [simplify]: iteration done : 5000 enodes (cost 145 ) 2.670 * [simplify]: Simplified to: (exp (* x (+ x (* 2.0 y)))) (log (* x (+ x (* 2.0 y)))) (exp (* x (+ x (* 2.0 y)))) (* (cbrt (* x (+ x (* 2.0 y)))) (cbrt (* x (+ x (* 2.0 y))))) (cbrt (* x (+ x (* 2.0 y)))) (pow (* x (+ x (* 2.0 y))) 3) (sqrt (* x (+ x (* 2.0 y)))) (sqrt (* x (+ x (* 2.0 y)))) (+ (pow x 6) (pow (* (* x 2.0) y) 3)) (+ (pow x 4) (* y (* (* x 2.0) (* x (- (* 2.0 y) x))))) (* (* x (- x (* 2.0 y))) (* x (+ x (* 2.0 y)))) (* x (- x (* 2.0 y))) (* x (+ x (* 2.0 y))) (* x (+ x (* 2.0 y))) (* x (+ x (* 2.0 y))) 2.670 * * * [progress]: adding candidates to table 2.700 * [progress]: [Phase 3 of 3] Extracting. 2.701 * [simplify]: Simplifying using # : (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 2.702 * * [simplify]: iteration 0 : 9 enodes (cost 13 ) 2.702 * * [simplify]: iteration 1 : 13 enodes (cost 13 ) 2.702 * * [simplify]: iteration done : 13 enodes (cost 13 ) 2.702 * [simplify]: Simplified to: (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 3.347 * [regime-testing]: End program error score: 0.01222088854883904 3.366 * [regime-testing]: Target error score: 0.01454429928777155