2.448 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying using # : (/ x (* y y)) 0.026 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.027 * * [simplify]: iteration 1 : 6 enodes (cost 5 ) 0.029 * * [simplify]: iteration done : 6 enodes (cost 5 ) 0.029 * [simplify]: Simplified to: (/ x (* y y)) 0.029 * * [progress]: iteration 1 / 4 0.029 * * * [progress]: picking best candidate 0.031 * * * * [pick]: Picked # 0.031 * * * [progress]: localizing error 0.038 * * * [progress]: generating rewritten candidates 0.038 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.042 * * * [progress]: generating series expansions 0.042 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.042 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.042 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.050 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) 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 x in x 0.051 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.064 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.064 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.064 * [taylor]: Taking taylor expansion of -1 in y 0.064 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of x in y 0.064 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.064 * [taylor]: Taking taylor expansion of -1 in x 0.064 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.065 * [taylor]: Taking taylor expansion of -1 in x 0.065 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.065 * [taylor]: Taking taylor expansion of -1 in y 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.073 * * * [progress]: simplifying candidates 0.073 * [simplify]: Simplifying using # : (- (log x) (+ (log y) (log y))) (- (log x) (log (* y y))) (log (/ x (* y y))) (exp (/ x (* y y))) (/ (* (* x x) x) (* (* (* y y) y) (* (* y y) y))) (/ (* (* x x) x) (* (* (* y y) (* y y)) (* 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))) (- x) (- (* y y)) (/ (* (cbrt x) (cbrt x)) y) (/ (cbrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (/ 1 y) (/ x y) (/ 1 (* y y)) (/ (* y y) x) (/ x y) (/ (* y y) (cbrt x)) (/ (* y y) (sqrt x)) (/ (* y y) x) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 0.075 * * [simplify]: iteration 0 : 43 enodes (cost 185 ) 0.082 * * [simplify]: iteration 1 : 96 enodes (cost 182 ) 0.098 * * [simplify]: iteration 2 : 295 enodes (cost 152 ) 0.196 * * [simplify]: iteration 3 : 1069 enodes (cost 152 ) 0.824 * * [simplify]: iteration 4 : 2921 enodes (cost 152 ) 1.915 * * [simplify]: iteration done : 5001 enodes (cost 152 ) 1.915 * [simplify]: Simplified to: (log (/ x (* y y))) (log (/ x (* y y))) (log (/ x (* y y))) (exp (/ x (* y y))) (pow (/ x (pow y 2)) 3) (pow (/ x (pow y 2)) 3) (* (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))) (- x) (- (* y y)) (/ (* (cbrt x) (cbrt x)) y) (/ (cbrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (/ 1 y) (/ x y) (/ 1 (* y y)) (/ y (/ x y)) (/ x y) (/ (* y y) (cbrt x)) (/ (* y y) (sqrt x)) (/ y (/ x y)) (/ (/ x y) y) (/ (/ x y) y) (/ (/ x y) y) 1.915 * * * [progress]: adding candidates to table 1.955 * * [progress]: iteration 2 / 4 1.955 * * * [progress]: picking best candidate 1.961 * * * * [pick]: Picked # 1.961 * * * [progress]: localizing error 1.964 * * * [progress]: generating rewritten candidates 1.964 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.973 * * * [progress]: generating series expansions 1.973 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.973 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 1.973 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 1.973 * [taylor]: Taking taylor expansion of x in y 1.973 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.974 * [taylor]: Taking taylor expansion of y in y 1.974 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 1.974 * [taylor]: Taking taylor expansion of x in x 1.974 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.974 * [taylor]: Taking taylor expansion of y in x 1.974 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 1.974 * [taylor]: Taking taylor expansion of x in x 1.974 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.974 * [taylor]: Taking taylor expansion of y in x 1.974 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.974 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.974 * [taylor]: Taking taylor expansion of y in y 1.976 * [taylor]: Taking taylor expansion of 0 in y 1.977 * [taylor]: Taking taylor expansion of 0 in y 1.979 * [taylor]: Taking taylor expansion of 0 in y 1.981 * [taylor]: Taking taylor expansion of 0 in y 1.982 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 1.982 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 1.982 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.982 * [taylor]: Taking taylor expansion of y in y 1.982 * [taylor]: Taking taylor expansion of x in y 1.982 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 1.982 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.982 * [taylor]: Taking taylor expansion of y in x 1.982 * [taylor]: Taking taylor expansion of x in x 1.982 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 1.982 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.982 * [taylor]: Taking taylor expansion of y in x 1.982 * [taylor]: Taking taylor expansion of x in x 1.982 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.982 * [taylor]: Taking taylor expansion of y in y 1.983 * [taylor]: Taking taylor expansion of 0 in y 1.985 * [taylor]: Taking taylor expansion of 0 in y 1.987 * [taylor]: Taking taylor expansion of 0 in y 1.988 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 1.988 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 1.988 * [taylor]: Taking taylor expansion of -1 in y 1.988 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 1.988 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.988 * [taylor]: Taking taylor expansion of y in y 1.988 * [taylor]: Taking taylor expansion of x in y 1.988 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 1.988 * [taylor]: Taking taylor expansion of -1 in x 1.988 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 1.988 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.988 * [taylor]: Taking taylor expansion of y in x 1.988 * [taylor]: Taking taylor expansion of x in x 1.988 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 1.988 * [taylor]: Taking taylor expansion of -1 in x 1.988 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 1.988 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.988 * [taylor]: Taking taylor expansion of y in x 1.988 * [taylor]: Taking taylor expansion of x in x 1.989 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 1.989 * [taylor]: Taking taylor expansion of -1 in y 1.989 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.989 * [taylor]: Taking taylor expansion of y in y 1.990 * [taylor]: Taking taylor expansion of 0 in y 1.993 * [taylor]: Taking taylor expansion of 0 in y 1.997 * [taylor]: Taking taylor expansion of 0 in y 1.997 * * * [progress]: simplifying candidates 1.998 * [simplify]: Simplifying using # : (- (- (log x) (log y)) (log y)) (- (log (/ x y)) (log y)) (log (/ (/ x y) y)) (exp (/ (/ x y) y)) (/ (/ (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (/ (* (* (/ x y) (/ x y)) (/ x y)) (* (* y 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)) (- (/ x y)) (- y) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ x y)) (cbrt y)) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (sqrt y)) (/ (cbrt (/ x y)) (sqrt y)) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) 1) (/ (cbrt (/ x y)) y) (/ (sqrt (/ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (/ x y)) (cbrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) 1) (/ (sqrt (/ x y)) y) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) (cbrt y)) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ (cbrt x) (cbrt y)) (sqrt y)) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) 1) (/ (/ (cbrt x) (cbrt y)) y) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (sqrt y)) (cbrt y)) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (sqrt y)) (/ (/ (cbrt x) (sqrt y)) (sqrt y)) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) 1) (/ (/ (cbrt x) (sqrt y)) y) (/ (/ (* (cbrt x) (cbrt x)) 1) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) y) (cbrt y)) (/ (/ (* (cbrt x) (cbrt x)) 1) (sqrt y)) (/ (/ (cbrt x) y) (sqrt y)) (/ (/ (* (cbrt x) (cbrt x)) 1) 1) (/ (/ (cbrt x) y) y) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ (sqrt x) (cbrt y)) (sqrt y)) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) 1) (/ (/ (sqrt x) (cbrt y)) y) (/ (/ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (sqrt y)) (cbrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) 1) (/ (/ (sqrt x) (sqrt y)) y) (/ (/ (sqrt x) 1) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) y) (cbrt y)) (/ (/ (sqrt x) 1) (sqrt y)) (/ (/ (sqrt x) y) (sqrt y)) (/ (/ (sqrt x) 1) 1) (/ (/ (sqrt x) y) y) (/ (/ 1 (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (/ x (cbrt y)) (cbrt y)) (/ (/ 1 (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ x (cbrt y)) (sqrt y)) (/ (/ 1 (* (cbrt y) (cbrt y))) 1) (/ (/ x (cbrt y)) y) (/ (/ 1 (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ x (sqrt y)) (cbrt y)) (/ (/ 1 (sqrt y)) (sqrt y)) (/ (/ x (sqrt y)) (sqrt y)) (/ (/ 1 (sqrt y)) 1) (/ (/ x (sqrt y)) y) (/ (/ 1 1) (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ (/ 1 1) (sqrt y)) (/ (/ x y) (sqrt y)) (/ (/ 1 1) 1) (/ (/ x y) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (/ x y) (sqrt y)) (/ 1 1) (/ (/ x y) y) (/ x (* (cbrt y) (cbrt y))) (/ (/ 1 y) (cbrt y)) (/ x (sqrt y)) (/ (/ 1 y) (sqrt y)) (/ x 1) (/ (/ 1 y) y) (/ 1 y) (/ y (/ x y)) (/ (/ x y) (* (cbrt y) (cbrt y))) (/ (/ x y) (sqrt y)) (/ (/ x y) 1) (/ y (cbrt (/ x y))) (/ y (sqrt (/ x y))) (/ y (/ (cbrt x) (cbrt y))) (/ y (/ (cbrt x) (sqrt y))) (/ y (/ (cbrt x) y)) (/ y (/ (sqrt x) (cbrt y))) (/ y (/ (sqrt x) (sqrt y))) (/ y (/ (sqrt x) y)) (/ y (/ x (cbrt y))) (/ y (/ x (sqrt y))) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ 1 y)) (* y y) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 2.001 * * [simplify]: iteration 0 : 140 enodes (cost 862 ) 2.027 * * [simplify]: iteration 1 : 317 enodes (cost 813 )