15.896 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (+ (+ x y) x) 0.015 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.015 * * [simplify]: iteration 1 : 6 enodes (cost 5 ) 0.016 * * [simplify]: iteration 2 : 9 enodes (cost 5 ) 0.017 * * [simplify]: iteration 3 : 11 enodes (cost 5 ) 0.018 * * [simplify]: iteration 4 : 12 enodes (cost 5 ) 0.019 * * [simplify]: iteration done : 12 enodes (cost 5 ) 0.019 * [simplify]: Simplified to: (+ (+ x y) x) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.036 * * * [progress]: generating series expansions 0.037 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.037 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 0.037 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.037 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.037 * [taylor]: Taking taylor expansion of 2 in y 0.037 * [taylor]: Taking taylor expansion of x in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.037 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.037 * [taylor]: Taking taylor expansion of 2 in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.037 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.037 * [taylor]: Taking taylor expansion of 2 in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of 2 in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [approximate]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in (x y) around 0 0.037 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in y 0.037 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.037 * [taylor]: Taking taylor expansion of 2 in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 0.038 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.038 * [taylor]: Taking taylor expansion of 2 in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 0.038 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.038 * [taylor]: Taking taylor expansion of 2 in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of 2 in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [approximate]: Taking taylor expansion of (neg (+ (* 2 (/ 1 x)) (/ 1 y))) in (x y) around 0 0.039 * [taylor]: Taking taylor expansion of (neg (+ (* 2 (/ 1 x)) (/ 1 y))) in y 0.039 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in y 0.039 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.039 * [taylor]: Taking taylor expansion of 2 in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.039 * [taylor]: Taking taylor expansion of x in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of (neg (+ (* 2 (/ 1 x)) (/ 1 y))) in x 0.039 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 0.039 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.039 * [taylor]: Taking taylor expansion of 2 in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of (neg (+ (* 2 (/ 1 x)) (/ 1 y))) in x 0.040 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 0.040 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.040 * [taylor]: Taking taylor expansion of 2 in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of (neg 2) in y 0.040 * [taylor]: Taking taylor expansion of 2 in y 0.040 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.040 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.041 * * * [progress]: simplifying candidates 0.041 * [simplify]: Simplifying using # : (* (* (exp x) (exp y)) (exp x)) (* (exp (+ x y)) (exp x)) (log (+ (+ x y) x)) (exp (+ (+ x y) x)) (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (* (* (+ (+ x y) x) (+ (+ x y) x)) (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (+ (pow (+ x y) 3) (pow x 3)) (+ (* (+ x y) (+ x y)) (- (* x x) (* (+ x y) x))) (- (* (+ x y) (+ x y)) (* x x)) (- (+ x y) x) (+ (+ x y) x) (+ (+ x y) x) (+ y x) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) 0.042 * * [simplify]: iteration 0 : 32 enodes (cost 145 ) 0.047 * * [simplify]: iteration 1 : 89 enodes (cost 140 ) 0.060 * * [simplify]: iteration 2 : 217 enodes (cost 130 ) 0.103 * * [simplify]: iteration 3 : 631 enodes (cost 122 ) 0.323 * * [simplify]: iteration 4 : 2552 enodes (cost 116 ) 0.935 * * [simplify]: iteration done : 5001 enodes (cost 116 ) 0.935 * [simplify]: Simplified to: (exp (+ (+ x y) x)) (exp (+ (+ x y) x)) (log (+ (+ x y) x)) (exp (+ (+ x y) x)) (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (pow (+ (+ x y) x) 3) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (+ (pow (+ x y) 3) (pow x 3)) (+ (* x x) (* (+ x y) y)) (* (+ (+ x y) x) y) y (+ (+ x y) x) (+ (+ x y) x) (+ x y) (+ (+ x y) x) (+ (+ x y) x) (+ (+ x y) x) 0.935 * * * [progress]: adding candidates to table 0.948 * * [progress]: iteration 2 / 4 0.948 * * * [progress]: picking best candidate 0.951 * * * * [pick]: Picked # 0.951 * * * [progress]: localizing error 0.958 * * * [progress]: generating rewritten candidates 0.958 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.965 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.973 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.981 * * * [progress]: generating series expansions 0.981 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.982 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 0.982 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.982 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.982 * [taylor]: Taking taylor expansion of 2 in y 0.982 * [taylor]: Taking taylor expansion of x in y 0.982 * [taylor]: Taking taylor expansion of y in y 0.982 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.982 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.982 * [taylor]: Taking taylor expansion of 2 in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [taylor]: Taking taylor expansion of y in x 0.982 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.982 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.982 * [taylor]: Taking taylor expansion of 2 in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [taylor]: Taking taylor expansion of y in x 0.982 * [taylor]: Taking taylor expansion of y in y 0.982 * [taylor]: Taking taylor expansion of 2 in y 0.982 * [taylor]: Taking taylor expansion of 0 in y 0.982 * [taylor]: Taking taylor expansion of 0 in y 0.982 * [approximate]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in (x y) around 0 0.982 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in y 0.982 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.982 * [taylor]: Taking taylor expansion of 2 in y 0.983 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.983 * [taylor]: Taking taylor expansion of x in y 0.983 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.983 * [taylor]: Taking taylor expansion of y in y 0.983 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 0.983 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.983 * [taylor]: Taking taylor expansion of 2 in x 0.983 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.983 * [taylor]: Taking taylor expansion of x in x 0.983 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.983 * [taylor]: Taking taylor expansion of y in x 0.983 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 0.983 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.983 * [taylor]: Taking taylor expansion of 2 in x 0.983 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.983 * [taylor]: Taking taylor expansion of x in x 0.983 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.983 * [taylor]: Taking taylor expansion of y in x 0.983 * [taylor]: Taking taylor expansion of 2 in y 0.983 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.983 * [taylor]: Taking taylor expansion of y in y 0.983 * [taylor]: Taking taylor expansion of 0 in y 0.984 * [taylor]: Taking taylor expansion of 0 in y 0.984 * [taylor]: Taking taylor expansion of 0 in y 0.984 * [approximate]: Taking taylor expansion of (* (cbrt -1) (+ (* 2 (/ 1 x)) (/ 1 y))) in (x y) around 0 0.984 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (* 2 (/ 1 x)) (/ 1 y))) in y 0.984 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.984 * [taylor]: Taking taylor expansion of -1 in y 0.984 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in y 0.984 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.984 * [taylor]: Taking taylor expansion of 2 in y 0.984 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.984 * [taylor]: Taking taylor expansion of x in y 0.984 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.984 * [taylor]: Taking taylor expansion of y in y 0.984 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (* 2 (/ 1 x)) (/ 1 y))) in x 0.984 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.985 * [taylor]: Taking taylor expansion of -1 in x 0.985 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 0.985 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.985 * [taylor]: Taking taylor expansion of 2 in x 0.985 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.985 * [taylor]: Taking taylor expansion of y in x 0.985 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (* 2 (/ 1 x)) (/ 1 y))) in x 0.985 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.985 * [taylor]: Taking taylor expansion of -1 in x 0.985 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 0.985 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.985 * [taylor]: Taking taylor expansion of 2 in x 0.985 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.985 * [taylor]: Taking taylor expansion of y in x 0.985 * [taylor]: Taking taylor expansion of (* 2 (cbrt -1)) in y 0.985 * [taylor]: Taking taylor expansion of 2 in y 0.985 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.985 * [taylor]: Taking taylor expansion of -1 in y 0.986 * [taylor]: Taking taylor expansion of (/ (cbrt -1) y) in y 0.986 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.986 * [taylor]: Taking taylor expansion of -1 in y 0.986 * [taylor]: Taking taylor expansion of y in y 0.986 * [taylor]: Taking taylor expansion of 0 in y 0.987 * [taylor]: Taking taylor expansion of 0 in y 0.988 * [taylor]: Taking taylor expansion of 0 in y 0.988 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.991 * [approximate]: Taking taylor expansion of (pow (+ (* 2 x) y) 3) in (x y) around 0 0.991 * [taylor]: Taking taylor expansion of (pow (+ (* 2 x) y) 3) in y 0.991 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.991 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.991 * [taylor]: Taking taylor expansion of 2 in y 0.991 * [taylor]: Taking taylor expansion of x in y 0.991 * [taylor]: Taking taylor expansion of y in y 0.991 * [taylor]: Taking taylor expansion of (pow (+ (* 2 x) y) 3) in x 0.991 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.991 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.991 * [taylor]: Taking taylor expansion of 2 in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of y in x 0.991 * [taylor]: Taking taylor expansion of (pow (+ (* 2 x) y) 3) in x 0.991 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.991 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.991 * [taylor]: Taking taylor expansion of 2 in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of y in x 0.991 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.991 * [taylor]: Taking taylor expansion of y in y 0.992 * [taylor]: Taking taylor expansion of (* 6 (pow y 2)) in y 0.992 * [taylor]: Taking taylor expansion of 6 in y 0.992 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.992 * [taylor]: Taking taylor expansion of y in y 0.992 * [taylor]: Taking taylor expansion of (* 12 y) in y 0.992 * [taylor]: Taking taylor expansion of 12 in y 0.992 * [taylor]: Taking taylor expansion of y in y 0.992 * [taylor]: Taking taylor expansion of 8 in y 0.993 * [approximate]: Taking taylor expansion of (pow (+ (* 2 (/ 1 x)) (/ 1 y)) 3) in (x y) around 0 0.993 * [taylor]: Taking taylor expansion of (pow (+ (* 2 (/ 1 x)) (/ 1 y)) 3) in y 0.993 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in y 0.993 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.993 * [taylor]: Taking taylor expansion of 2 in y 0.993 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.993 * [taylor]: Taking taylor expansion of x in y 0.993 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.993 * [taylor]: Taking taylor expansion of y in y 0.993 * [taylor]: Taking taylor expansion of (pow (+ (* 2 (/ 1 x)) (/ 1 y)) 3) in x 0.993 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 0.993 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.993 * [taylor]: Taking taylor expansion of 2 in x 0.993 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.993 * [taylor]: Taking taylor expansion of x in x 0.993 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.993 * [taylor]: Taking taylor expansion of y in x 0.993 * [taylor]: Taking taylor expansion of (pow (+ (* 2 (/ 1 x)) (/ 1 y)) 3) in x 0.993 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 0.993 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.993 * [taylor]: Taking taylor expansion of 2 in x 0.993 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.993 * [taylor]: Taking taylor expansion of x in x 0.993 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.993 * [taylor]: Taking taylor expansion of y in x 0.993 * [taylor]: Taking taylor expansion of 8 in y 0.994 * [taylor]: Taking taylor expansion of (* 12 (/ 1 y)) in y 0.994 * [taylor]: Taking taylor expansion of 12 in y 0.994 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.994 * [taylor]: Taking taylor expansion of y in y 0.994 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 0.994 * [taylor]: Taking taylor expansion of 6 in y 0.994 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.994 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.994 * [taylor]: Taking taylor expansion of y in y 0.995 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.995 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.995 * [taylor]: Taking taylor expansion of y in y 0.995 * [approximate]: Taking taylor expansion of (pow (neg (+ (* 2 (/ 1 x)) (/ 1 y))) 3) in (x y) around 0 0.996 * [taylor]: Taking taylor expansion of (pow (neg (+ (* 2 (/ 1 x)) (/ 1 y))) 3) in y 0.996 * [taylor]: Taking taylor expansion of (neg (+ (* 2 (/ 1 x)) (/ 1 y))) in y 0.996 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in y 0.996 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.996 * [taylor]: Taking taylor expansion of 2 in y 0.996 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.996 * [taylor]: Taking taylor expansion of x in y 0.996 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.996 * [taylor]: Taking taylor expansion of y in y 0.996 * [taylor]: Taking taylor expansion of (pow (neg (+ (* 2 (/ 1 x)) (/ 1 y))) 3) in x 0.996 * [taylor]: Taking taylor expansion of (neg (+ (* 2 (/ 1 x)) (/ 1 y))) in x 0.996 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 0.996 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.996 * [taylor]: Taking taylor expansion of 2 in x 0.996 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.996 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.996 * [taylor]: Taking taylor expansion of y in x 0.996 * [taylor]: Taking taylor expansion of (pow (neg (+ (* 2 (/ 1 x)) (/ 1 y))) 3) in x 0.996 * [taylor]: Taking taylor expansion of (neg (+ (* 2 (/ 1 x)) (/ 1 y))) in x 0.996 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 0.996 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.996 * [taylor]: Taking taylor expansion of 2 in x 0.996 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.996 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.996 * [taylor]: Taking taylor expansion of y in x 0.996 * [taylor]: Taking taylor expansion of -8 in y 0.997 * [taylor]: Taking taylor expansion of (neg (* 12 (/ 1 y))) in y 0.997 * [taylor]: Taking taylor expansion of (* 12 (/ 1 y)) in y 0.997 * [taylor]: Taking taylor expansion of 12 in y 0.997 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.997 * [taylor]: Taking taylor expansion of y in y 0.997 * [taylor]: Taking taylor expansion of (neg (* 6 (/ 1 (pow y 2)))) in y 0.997 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 0.997 * [taylor]: Taking taylor expansion of 6 in y 0.997 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.997 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.997 * [taylor]: Taking taylor expansion of y in y 0.998 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 3))) in y 0.998 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.998 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.998 * [taylor]: Taking taylor expansion of y in y 0.999 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.999 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 0.999 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.999 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.999 * [taylor]: Taking taylor expansion of 2 in y 0.999 * [taylor]: Taking taylor expansion of x in y 0.999 * [taylor]: Taking taylor expansion of y in y 0.999 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.999 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.999 * [taylor]: Taking taylor expansion of 2 in x 0.999 * [taylor]: Taking taylor expansion of x in x 0.999 * [taylor]: Taking taylor expansion of y in x 0.999 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.999 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.999 * [taylor]: Taking taylor expansion of 2 in x 0.999 * [taylor]: Taking taylor expansion of x in x 0.999 * [taylor]: Taking taylor expansion of y in x 0.999 * [taylor]: Taking taylor expansion of y in y 0.999 * [taylor]: Taking taylor expansion of 2 in y 0.999 * [taylor]: Taking taylor expansion of 0 in y 0.999 * [taylor]: Taking taylor expansion of 0 in y 1.000 * [approximate]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in (x y) around 0 1.000 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in y 1.000 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 1.000 * [taylor]: Taking taylor expansion of 2 in y 1.000 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.000 * [taylor]: Taking taylor expansion of x in y 1.000 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.000 * [taylor]: Taking taylor expansion of y in y 1.000 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 1.000 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.000 * [taylor]: Taking taylor expansion of 2 in x 1.000 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.000 * [taylor]: Taking taylor expansion of x in x 1.000 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.000 * [taylor]: Taking taylor expansion of y in x 1.000 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 1.000 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.000 * [taylor]: Taking taylor expansion of 2 in x 1.000 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.000 * [taylor]: Taking taylor expansion of x in x 1.000 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.000 * [taylor]: Taking taylor expansion of y in x 1.000 * [taylor]: Taking taylor expansion of 2 in y 1.000 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.000 * [taylor]: Taking taylor expansion of y in y 1.000 * [taylor]: Taking taylor expansion of 0 in y 1.001 * [taylor]: Taking taylor expansion of 0 in y 1.001 * [taylor]: Taking taylor expansion of 0 in y 1.001 * [approximate]: Taking taylor expansion of (neg (+ (* 2 (/ 1 x)) (/ 1 y))) in (x y) around 0 1.001 * [taylor]: Taking taylor expansion of (neg (+ (* 2 (/ 1 x)) (/ 1 y))) in y 1.001 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in y 1.001 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 1.001 * [taylor]: Taking taylor expansion of 2 in y 1.001 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.001 * [taylor]: Taking taylor expansion of x in y 1.001 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.001 * [taylor]: Taking taylor expansion of y in y 1.001 * [taylor]: Taking taylor expansion of (neg (+ (* 2 (/ 1 x)) (/ 1 y))) in x 1.001 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 1.001 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.001 * [taylor]: Taking taylor expansion of 2 in x 1.002 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.002 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.002 * [taylor]: Taking taylor expansion of y in x 1.002 * [taylor]: Taking taylor expansion of (neg (+ (* 2 (/ 1 x)) (/ 1 y))) in x 1.002 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (/ 1 y)) in x 1.002 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.002 * [taylor]: Taking taylor expansion of 2 in x 1.002 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.002 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.002 * [taylor]: Taking taylor expansion of y in x 1.002 * [taylor]: Taking taylor expansion of (neg 2) in y 1.002 * [taylor]: Taking taylor expansion of 2 in y 1.002 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 1.002 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.002 * [taylor]: Taking taylor expansion of y in y 1.002 * [taylor]: Taking taylor expansion of 0 in y 1.002 * [taylor]: Taking taylor expansion of 0 in y 1.003 * [taylor]: Taking taylor expansion of 0 in y 1.003 * * * [progress]: simplifying candidates 1.004 * [simplify]: Simplifying using # : (log (cbrt (pow (+ (+ x y) x) 3))) (exp (cbrt (pow (+ (+ x y) x) 3))) (cbrt (pow (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) 3)) (cbrt (pow (cbrt (+ (+ x y) x)) 3)) (cbrt (pow (sqrt (+ (+ x y) x)) 3)) (cbrt (pow (sqrt (+ (+ x y) x)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (+ x y) x) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (+ x y) x) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (+ x y) x) 3)) (cbrt (* (+ (+ x y) x) (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (cbrt (* (cbrt (pow (+ (+ x y) x) 3)) (cbrt (pow (+ (+ x y) x) 3)))) (cbrt (cbrt (pow (+ (+ x y) x) 3))) (cbrt (pow (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) 3)) (cbrt (pow (cbrt (+ (+ x y) x)) 3)) (cbrt (pow (sqrt (+ (+ x y) x)) 3)) (cbrt (pow (sqrt (+ (+ x y) x)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (+ x y) x) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (+ x y) x) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (+ x y) x) 3)) (cbrt (+ (+ x y) x)) (cbrt (* (+ (+ x y) x) (+ (+ x y) x))) (cbrt (sqrt (pow (+ (+ x y) x) 3))) (cbrt (sqrt (pow (+ (+ x y) x) 3))) (cbrt 1) (cbrt (pow (+ (+ x y) x) 3)) (cbrt (pow (+ (+ x y) x) (/ 3 2))) (cbrt (pow (+ (+ x y) x) (/ 3 2))) (cbrt (pow (+ (pow (+ x y) 3) (pow x 3)) 3)) (cbrt (pow (+ (* (+ x y) (+ x y)) (- (* x x) (* (+ x y) x))) 3)) (cbrt (pow (- (* (+ x y) (+ x y)) (* x x)) 3)) (cbrt (pow (- (+ x y) x) 3)) (* (cbrt (cbrt (pow (+ (+ x y) x) 3))) (cbrt (cbrt (pow (+ (+ x y) x) 3)))) (cbrt (cbrt (pow (+ (+ x y) x) 3))) (* (* (cbrt (pow (+ (+ x y) x) 3)) (cbrt (pow (+ (+ x y) x) 3))) (cbrt (pow (+ (+ x y) x) 3))) (sqrt (cbrt (pow (+ (+ x y) x) 3))) (sqrt (cbrt (pow (+ (+ x y) x) 3))) (* (log (+ (+ x y) x)) 3) (* (log (+ (+ x y) x)) 3) (* 1 3) (pow (+ (+ x y) x) (* (cbrt 3) (cbrt 3))) (pow (+ (+ x y) x) (sqrt 3)) (pow (+ (+ x y) x) 1) (pow (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) 3) (pow (cbrt (+ (+ x y) x)) 3) (pow (sqrt (+ (+ x y) x)) 3) (pow (sqrt (+ (+ x y) x)) 3) (pow 1 3) (pow (+ (+ x y) x) 3) (pow 1 3) (pow (+ (+ x y) x) 3) (pow 1 3) (pow (+ (+ x y) x) 3) (* (+ (+ x y) x) (+ (+ x y) x)) (log (pow (+ (+ x y) x) 3)) (exp (pow (+ (+ x y) x) 3)) (* (cbrt (pow (+ (+ x y) x) 3)) (cbrt (pow (+ (+ x y) x) 3))) (cbrt (pow (+ (+ x y) x) 3)) (* (* (pow (+ (+ x y) x) 3) (pow (+ (+ x y) x) 3)) (pow (+ (+ x y) x) 3)) (pow (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) 3) (pow (cbrt (+ (+ x y) x)) 3) (pow (sqrt (+ (+ x y) x)) 3) (pow (sqrt (+ (+ x y) x)) 3) (pow 1 3) (pow (+ (+ x y) x) 3) (pow 1 3) (pow (+ (+ x y) x) 3) (pow 1 3) (pow (+ (+ x y) x) 3) (pow (+ (pow (+ x y) 3) (pow x 3)) 3) (pow (+ (* (+ x y) (+ x y)) (- (* x x) (* (+ x y) x))) 3) (pow (- (* (+ x y) (+ x y)) (* x x)) 3) (pow (- (+ x y) x) 3) (* (+ (+ x y) x) (+ (+ x y) x)) (sqrt (pow (+ (+ x y) x) 3)) (sqrt (pow (+ (+ x y) x) 3)) (pow (+ (+ x y) x) (/ 3 2)) (pow (+ (+ x y) x) (/ 3 2)) (* (* (exp x) (exp y)) (exp x)) (* (exp (+ x y)) (exp x)) (log (+ (+ x y) x)) (exp (+ (+ x y) x)) (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (* (* (+ (+ x y) x) (+ (+ x y) x)) (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (+ (pow (+ x y) 3) (pow x 3)) (+ (* (+ x y) (+ x y)) (- (* x x) (* (+ x y) x))) (- (* (+ x y) (+ x y)) (* x x)) (- (+ x y) x) (+ (+ x y) x) (+ (+ x y) x) (+ y x) (+ (* 2 x) y) (+ (* 2 x) y) (neg (+ (* 2 (* x (cbrt -1))) (* y (cbrt -1)))) (+ (* 6 (* x (pow y 2))) (+ (* 12 (* (pow x 2) y)) (* 8 (pow x 3)))) (+ (* 6 (* x (pow y 2))) (+ (* 12 (* (pow x 2) y)) (pow y 3))) (+ (* 6 (* x (pow y 2))) (+ (* 12 (* (pow x 2) y)) (pow y 3))) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) 1.007 * * [simplify]: iteration 0 : 100 enodes (cost 992 ) 1.021 * * [simplify]: iteration 1 : 253 enodes (cost 789 ) 1.068 * * [simplify]: iteration 2 : 876 enodes (cost 732 ) 1.375 * * [simplify]: iteration done : 5000 enodes (cost 719 ) 1.375 * [simplify]: Simplified to: (log (+ (+ y x) x)) (exp (+ (+ y x) x)) (cbrt (pow (+ (+ y x) x) 2)) (cbrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) 1 (+ (* 2 x) y) 1 (+ (* 2 x) y) 1 (+ (* 2 x) y) (cbrt (pow (+ (+ y x) x) 2)) (cbrt (+ (+ x y) x)) (cbrt (pow (+ (+ y x) x) 2)) (cbrt (+ (+ x y) x)) (cbrt (pow (+ (+ y x) x) 2)) (cbrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) 1 (+ (* 2 x) y) 1 (+ (* 2 x) y) 1 (+ (* 2 x) y) (cbrt (+ (+ x y) x)) (cbrt (pow (+ (+ y x) x) 2)) (cbrt (sqrt (pow (+ (+ x y) x) 3))) (cbrt (sqrt (pow (+ (+ x y) x) 3))) 1 (+ (* 2 x) y) (cbrt (pow (+ (+ y x) x) 3/2)) (cbrt (pow (+ (+ y x) x) 3/2)) (+ (pow x 3) (pow (+ x y) 3)) (+ (* x x) (* (+ y x) (- (+ y x) x))) (- (* (+ x y) (+ x y)) (pow x 2)) (- (+ y x) x) (cbrt (pow (+ (+ y x) x) 2)) (cbrt (+ (+ x y) x)) (pow (+ (+ y x) x) 3) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (* (log (+ (+ x y) x)) 3) (* (log (+ (+ x y) x)) 3) 3 (pow (+ (+ x y) x) (* (cbrt 3) (cbrt 3))) (pow (+ (+ x y) x) (sqrt 3)) (+ (* 2 x) y) (pow (+ (+ y x) x) 2) (+ (* 2 x) y) (pow (sqrt (+ (+ x y) x)) 3) (pow (sqrt (+ (+ x y) x)) 3) 1 (pow (+ (+ y x) x) 3) 1 (pow (+ (+ y x) x) 3) 1 (pow (+ (+ y x) x) 3) (pow (+ (+ y x) x) 2) (* (log (+ (+ x y) x)) 3) (exp (pow (+ (+ x y) x) 3)) (pow (+ (+ y x) x) 2) (+ (* 2 x) y) (pow (pow (+ (+ x y) x) 3) 3) (pow (+ (+ y x) x) 2) (+ (* 2 x) y) (pow (sqrt (+ (+ x y) x)) 3) (pow (sqrt (+ (+ x y) x)) 3) 1 (pow (+ (+ y x) x) 3) 1 (pow (+ (+ y x) x) 3) 1 (pow (+ (+ y x) x) 3) (pow (+ (pow (+ x y) 3) (pow x 3)) 3) (pow (+ (* x x) (* (+ y x) (- (+ y x) x))) 3) (pow (- (* (+ x y) (+ x y)) (* x x)) 3) (pow (- (+ x y) x) 3) (pow (+ (+ y x) x) 2) (sqrt (pow (+ (+ x y) x) 3)) (sqrt (pow (+ (+ x y) x) 3)) (pow (+ (+ y x) x) 3/2) (pow (+ (+ y x) x) 3/2) (exp (+ (+ y x) x)) (exp (+ (+ y x) x)) (log (+ (+ y x) x)) (exp (+ (+ y x) x)) (cbrt (pow (+ (+ y x) x) 2)) (cbrt (+ (+ x y) x)) (pow (+ (+ y x) x) 3) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (+ (pow x 3) (pow (+ x y) 3)) (+ (* x x) (* (+ y x) (- (+ y x) x))) (- (* (+ x y) (+ x y)) (pow x 2)) (- (+ y x) x) (+ (* 2 x) y) (+ (* 2 x) y) (+ y x) (+ (* 2 x) y) (+ (* 2 x) y) (* (cbrt -1) (- (* x -2) y)) (+ (* 8 (pow x 3)) (* y (+ (* (* 6 x) y) (* 12 (* x x))))) (+ (* 12 (* (pow x 2) y)) (* (pow y 2) (+ (* 6 x) y))) (+ (* 12 (* (pow x 2) y)) (* (pow y 2) (+ (* 6 x) y))) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) 1.376 * * * [progress]: adding candidates to table 1.456 * * [progress]: iteration 3 / 4 1.457 * * * [progress]: picking best candidate 1.459 * * * * [pick]: Picked # 1.459 * * * [progress]: localizing error 1.462 * * * [progress]: generating rewritten candidates 1.462 * * * [progress]: generating series expansions 1.462 * * * [progress]: simplifying candidates 1.463 * [simplify]: Simplifying using # : 1.463 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.463 * * [simplify]: iteration done : 0 enodes (cost 0 ) 1.463 * [simplify]: Simplified to: 1.463 * * * [progress]: adding candidates to table 1.463 * [progress]: [Phase 3 of 3] Extracting. 1.466 * [simplify]: Simplifying using # : (+ (* 2 x) y) 1.468 * * [simplify]: iteration 0 : 5 enodes (cost 5 ) 1.468 * * [simplify]: iteration 1 : 7 enodes (cost 5 ) 1.468 * * [simplify]: iteration done : 7 enodes (cost 5 ) 1.468 * [simplify]: Simplified to: (+ (* 2 x) y) 2.019 * [regime-testing]: End program error score: 0 2.084 * [regime-testing]: Target error score: 0