20.829 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (- (/ x (* y y)) 3.0) 0.017 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.018 * * [simplify]: iteration 1 : 10 enodes (cost 7 ) 0.019 * * [simplify]: iteration 2 : 11 enodes (cost 7 ) 0.020 * * [simplify]: iteration done : 11 enodes (cost 7 ) 0.021 * [simplify]: Simplified to: (- (/ x (* y y)) 3.0) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.032 * * * [progress]: generating series expansions 0.032 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.032 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.032 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.032 * [taylor]: Taking taylor expansion of x in y 0.032 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.033 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.034 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.043 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of x in y 0.043 * [taylor]: Taking taylor expansion of (/ (pow y 2) 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 in x 0.043 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) 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 x in x 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [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 (* -1 (/ (pow y 2) x)) in (x y) around 0 0.050 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.050 * [taylor]: Taking taylor expansion of -1 in y 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 0.051 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.051 * [taylor]: Taking taylor expansion of -1 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 (* -1 (/ (pow y 2) x)) in x 0.051 * [taylor]: Taking taylor expansion of -1 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 (* -1 (pow y 2)) in y 0.051 * [taylor]: Taking taylor expansion of -1 in y 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.061 * * * [progress]: simplifying candidates 0.062 * [simplify]: Simplifying using # : (expm1 (/ x (* y y))) (log1p (/ x (* y y))) (- (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)) 0.064 * * [simplify]: iteration 0 : 45 enodes (cost 197 ) 0.072 * * [simplify]: iteration 1 : 97 enodes (cost 194 ) 0.097 * * [simplify]: iteration 2 : 279 enodes (cost 164 ) 0.279 * * [simplify]: iteration 3 : 1008 enodes (cost 164 ) 2.592 * * [simplify]: iteration 4 : 3825 enodes (cost 164 ) 3.517 * * [simplify]: iteration done : 5000 enodes (cost 164 ) 3.517 * [simplify]: Simplified to: (expm1 (/ x (* y y))) (log1p (/ x (* y y))) (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 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)) 3.518 * * * [progress]: adding candidates to table 3.574 * * [progress]: iteration 2 / 4 3.574 * * * [progress]: picking best candidate 3.585 * * * * [pick]: Picked # 3.585 * * * [progress]: localizing error 3.590 * * * [progress]: generating rewritten candidates 3.590 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 3.600 * * * [progress]: generating series expansions 3.600 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 3.600 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 3.600 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 3.600 * [taylor]: Taking taylor expansion of x in y 3.600 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.600 * [taylor]: Taking taylor expansion of y in y 3.601 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 3.601 * [taylor]: Taking taylor expansion of x in x 3.601 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.601 * [taylor]: Taking taylor expansion of y in x 3.601 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 3.601 * [taylor]: Taking taylor expansion of x in x 3.601 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.601 * [taylor]: Taking taylor expansion of y in x 3.601 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.601 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.601 * [taylor]: Taking taylor expansion of y in y 3.602 * [taylor]: Taking taylor expansion of 0 in y 3.604 * [taylor]: Taking taylor expansion of 0 in y 3.606 * [taylor]: Taking taylor expansion of 0 in y 3.609 * [taylor]: Taking taylor expansion of 0 in y 3.609 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 3.609 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.609 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.609 * [taylor]: Taking taylor expansion of y in y 3.609 * [taylor]: Taking taylor expansion of x in y 3.610 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 3.610 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.610 * [taylor]: Taking taylor expansion of y in x 3.610 * [taylor]: Taking taylor expansion of x in x 3.610 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 3.610 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.610 * [taylor]: Taking taylor expansion of y in x 3.610 * [taylor]: Taking taylor expansion of x in x 3.610 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.610 * [taylor]: Taking taylor expansion of y in y 3.611 * [taylor]: Taking taylor expansion of 0 in y 3.613 * [taylor]: Taking taylor expansion of 0 in y 3.616 * [taylor]: Taking taylor expansion of 0 in y 3.617 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 3.617 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 3.617 * [taylor]: Taking taylor expansion of -1 in y 3.617 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.617 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.617 * [taylor]: Taking taylor expansion of y in y 3.617 * [taylor]: Taking taylor expansion of x in y 3.617 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 3.617 * [taylor]: Taking taylor expansion of -1 in x 3.617 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 3.617 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.617 * [taylor]: Taking taylor expansion of y in x 3.617 * [taylor]: Taking taylor expansion of x in x 3.617 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 3.618 * [taylor]: Taking taylor expansion of -1 in x 3.618 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 3.618 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.618 * [taylor]: Taking taylor expansion of y in x 3.618 * [taylor]: Taking taylor expansion of x in x 3.618 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 3.618 * [taylor]: Taking taylor expansion of -1 in y 3.618 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.618 * [taylor]: Taking taylor expansion of y in y 3.620 * [taylor]: Taking taylor expansion of 0 in y 3.623 * [taylor]: Taking taylor expansion of 0 in y 3.628 * [taylor]: Taking taylor expansion of 0 in y 3.628 * * * [progress]: simplifying candidates 3.629 * [simplify]: Simplifying using # : (expm1 (/ (/ x y) y)) (log1p (/ (/ x y) y)) (- (- (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)) 3.633 * * [simplify]: iteration 0 : 142 enodes (cost 874 ) 3.677 * * [simplify]: iteration 1 : 313 enodes (cost 825 ) 3.782 * * [simplify]: iteration 2 : 748 enodes (cost 769 ) 4.343 * * [simplify]: iteration 3 : 2115 enodes (cost 757 ) 6.079 * * [simplify]: iteration done : 5000 enodes (cost 757 ) 6.080 * [simplify]: Simplified to: (expm1 (/ (/ x y) y)) (log1p (/ (/ x y) y)) (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 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))) (/ (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)) (/ (sqrt (/ x y)) y) (/ (/ (* (cbrt x) (cbrt x)) (pow (cbrt y) 3)) (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))) (/ (/ (cbrt x) (cbrt y)) y) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ (cbrt x) (cbrt y)) (sqrt y)) (/ (* (cbrt x) (cbrt x)) y) (/ (cbrt x) y) (/ (* (cbrt x) (cbrt x)) (sqrt y)) (/ (/ (cbrt x) (sqrt y)) y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) y) (/ (* (cbrt x) (cbrt x)) (sqrt y)) (/ (/ (cbrt x) (sqrt y)) y) (* (cbrt x) (cbrt x)) (/ (/ (cbrt x) y) y) (/ (sqrt x) (* (cbrt y) (pow (cbrt y) 3))) (/ (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))) (/ (/ (sqrt x) (cbrt y)) y) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ (sqrt x) (cbrt y)) (sqrt y)) (/ (sqrt x) y) (/ (sqrt x) y) (/ (sqrt x) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) y) (/ (sqrt x) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (cbrt y)) y) (/ (sqrt x) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) y) (sqrt x) (/ (/ (sqrt x) y) y) (/ 1 (* (cbrt y) (pow (cbrt y) 3))) (/ x (* (cbrt y) (cbrt y))) (/ (/ 1 (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ x (cbrt y)) (sqrt y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x (cbrt y)) y) (/ (/ 1 (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ x (cbrt y)) (sqrt y)) (/ 1 y) (/ x y) (/ 1 (sqrt y)) (/ (/ x (sqrt y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x (cbrt y)) y) (/ 1 (sqrt y)) (/ (/ x (sqrt y)) y) 1 (/ (/ x y) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x (cbrt y)) y) (/ 1 (sqrt y)) (/ (/ x (sqrt y)) y) 1 (/ (/ x y) y) (/ x (* (cbrt y) (cbrt y))) (/ (/ 1 y) (cbrt y)) (/ x (sqrt y)) (/ (/ 1 y) (sqrt y)) x (/ (/ 1 y) y) (/ 1 y) (* (/ y x) y) (/ (/ x y) (* (cbrt y) (cbrt y))) (/ (/ x (sqrt y)) y) (/ x y) (/ 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) (pow y 2) (pow y 2) (/ (/ x y) y) (/ (/ x y) y) (/ (/ x y) y) 6.081 * * * [progress]: adding candidates to table 6.241 * * [progress]: iteration 3 / 4 6.242 * * * [progress]: picking best candidate 6.248 * * * * [pick]: Picked # 6.249 * * * [progress]: localizing error 6.256 * * * [progress]: generating rewritten candidates 6.256 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 6.266 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 6.284 * * * [progress]: generating series expansions 6.285 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 6.285 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 6.285 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 6.285 * [taylor]: Taking taylor expansion of x in x 6.285 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.286 * [taylor]: Taking taylor expansion of y in x 6.286 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 6.286 * [taylor]: Taking taylor expansion of x in y 6.286 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.286 * [taylor]: Taking taylor expansion of y in y 6.286 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 6.286 * [taylor]: Taking taylor expansion of x in y 6.286 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.286 * [taylor]: Taking taylor expansion of y in y 6.287 * [taylor]: Taking taylor expansion of x in x 6.288 * [taylor]: Taking taylor expansion of 0 in x 6.290 * [taylor]: Taking taylor expansion of 0 in x 6.292 * [taylor]: Taking taylor expansion of 0 in x 6.292 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 6.293 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 6.293 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.293 * [taylor]: Taking taylor expansion of y in x 6.293 * [taylor]: Taking taylor expansion of x in x 6.293 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 6.293 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.293 * [taylor]: Taking taylor expansion of y in y 6.293 * [taylor]: Taking taylor expansion of x in y 6.293 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 6.293 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.293 * [taylor]: Taking taylor expansion of y in y 6.293 * [taylor]: Taking taylor expansion of x in y 6.294 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.294 * [taylor]: Taking taylor expansion of x in x 6.295 * [taylor]: Taking taylor expansion of 0 in x 6.296 * [taylor]: Taking taylor expansion of 0 in x 6.297 * [taylor]: Taking taylor expansion of 0 in x 6.299 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (y x) around 0 6.299 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 6.299 * [taylor]: Taking taylor expansion of -1 in x 6.299 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 6.299 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.299 * [taylor]: Taking taylor expansion of y in x 6.299 * [taylor]: Taking taylor expansion of x in x 6.299 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 6.299 * [taylor]: Taking taylor expansion of -1 in y 6.299 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 6.299 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.299 * [taylor]: Taking taylor expansion of y in y 6.299 * [taylor]: Taking taylor expansion of x in y 6.300 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 6.300 * [taylor]: Taking taylor expansion of -1 in y 6.300 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 6.300 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.300 * [taylor]: Taking taylor expansion of y in y 6.300 * [taylor]: Taking taylor expansion of x in y 6.300 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.300 * [taylor]: Taking taylor expansion of -1 in x 6.300 * [taylor]: Taking taylor expansion of x in x 6.302 * [taylor]: Taking taylor expansion of 0 in x 6.304 * [taylor]: Taking taylor expansion of 0 in x 6.306 * [taylor]: Taking taylor expansion of 0 in x 6.307 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 6.307 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 6.307 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 6.307 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.307 * [taylor]: Taking taylor expansion of y in x 6.307 * [taylor]: Taking taylor expansion of x in x 6.308 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 6.308 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.308 * [taylor]: Taking taylor expansion of y in y 6.308 * [taylor]: Taking taylor expansion of x in y 6.308 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 6.308 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.308 * [taylor]: Taking taylor expansion of y in y 6.308 * [taylor]: Taking taylor expansion of x in y 6.309 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.309 * [taylor]: Taking taylor expansion of x in x 6.310 * [taylor]: Taking taylor expansion of 0 in x 6.311 * [taylor]: Taking taylor expansion of 0 in x 6.312 * [taylor]: Taking taylor expansion of 0 in x 6.313 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 6.314 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 6.314 * [taylor]: Taking taylor expansion of x in x 6.314 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.314 * [taylor]: Taking taylor expansion of y in x 6.314 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 6.314 * [taylor]: Taking taylor expansion of x in y 6.314 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.314 * [taylor]: Taking taylor expansion of y in y 6.314 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 6.314 * [taylor]: Taking taylor expansion of x in y 6.314 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.314 * [taylor]: Taking taylor expansion of y in y 6.315 * [taylor]: Taking taylor expansion of x in x 6.316 * [taylor]: Taking taylor expansion of 0 in x 6.318 * [taylor]: Taking taylor expansion of 0 in x 6.320 * [taylor]: Taking taylor expansion of 0 in x 6.320 * [approximate]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in (y x) around 0 6.320 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in x 6.321 * [taylor]: Taking taylor expansion of -1 in x 6.321 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 6.321 * [taylor]: Taking taylor expansion of x in x 6.321 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.321 * [taylor]: Taking taylor expansion of y in x 6.321 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 6.321 * [taylor]: Taking taylor expansion of -1 in y 6.321 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 6.321 * [taylor]: Taking taylor expansion of x in y 6.321 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.321 * [taylor]: Taking taylor expansion of y in y 6.321 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 6.321 * [taylor]: Taking taylor expansion of -1 in y 6.322 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 6.322 * [taylor]: Taking taylor expansion of x in y 6.322 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.322 * [taylor]: Taking taylor expansion of y in y 6.322 * [taylor]: Taking taylor expansion of (* -1 x) in x 6.322 * [taylor]: Taking taylor expansion of -1 in x 6.322 * [taylor]: Taking taylor expansion of x in x 6.325 * [taylor]: Taking taylor expansion of 0 in x 6.328 * [taylor]: Taking taylor expansion of 0 in x 6.331 * [taylor]: Taking taylor expansion of 0 in x 6.332 * * * [progress]: simplifying candidates 6.333 * [simplify]: Simplifying using # : (expm1 (/ (/ 1 1) (* (/ y x) y))) (log1p (/ (/ 1 1) (* (/ y x) y))) (- (- 0) (+ (- (log y) (log x)) (log y))) (- (- 0) (+ (log (/ y x)) (log y))) (- (- 0) (log (* (/ y x) y))) (- (- (log 1)) (+ (- (log y) (log x)) (log y))) (- (- (log 1)) (+ (log (/ y x)) (log y))) (- (- (log 1)) (log (* (/ y x) y))) (- (- 0 0) (+ (- (log y) (log x)) (log y))) (- (- 0 0) (+ (log (/ y x)) (log y))) (- (- 0 0) (log (* (/ y x) y))) (- (- 0 (log 1)) (+ (- (log y) (log x)) (log y))) (- (- 0 (log 1)) (+ (log (/ y x)) (log y))) (- (- 0 (log 1)) (log (* (/ y x) y))) (- (- (log 1) 0) (+ (- (log y) (log x)) (log y))) (- (- (log 1) 0) (+ (log (/ y x)) (log y))) (- (- (log 1) 0) (log (* (/ y x) y))) (- (- (log 1) (log 1)) (+ (- (log y) (log x)) (log y))) (- (- (log 1) (log 1)) (+ (log (/ y x)) (log y))) (- (- (log 1) (log 1)) (log (* (/ y x) y))) (- (log (/ 1 1)) (+ (- (log y) (log x)) (log y))) (- (log (/ 1 1)) (+ (log (/ y x)) (log y))) (- (log (/ 1 1)) (log (* (/ y x) y))) (log (/ (/ 1 1) (* (/ y x) y))) (exp (/ (/ 1 1) (* (/ y x) y))) (/ (/ (* (* 1 1) 1) (* (* 1 1) 1)) (* (/ (* (* y y) y) (* (* x x) x)) (* (* y y) y))) (/ (/ (* (* 1 1) 1) (* (* 1 1) 1)) (* (* (* (/ y x) (/ y x)) (/ y x)) (* (* y y) y))) (/ (/ (* (* 1 1) 1) (* (* 1 1) 1)) (* (* (* (/ y x) y) (* (/ y x) y)) (* (/ y x) y))) (/ (* (* (/ 1 1) (/ 1 1)) (/ 1 1)) (* (/ (* (* y y) y) (* (* x x) x)) (* (* y y) y))) (/ (* (* (/ 1 1) (/ 1 1)) (/ 1 1)) (* (* (* (/ y x) (/ y x)) (/ y x)) (* (* y y) y))) (/ (* (* (/ 1 1) (/ 1 1)) (/ 1 1)) (* (* (* (/ y x) y) (* (/ y x) y)) (* (/ y x) y))) (* (cbrt (/ (/ 1 1) (* (/ y x) y))) (cbrt (/ (/ 1 1) (* (/ y x) y)))) (cbrt (/ (/ 1 1) (* (/ y x) y))) (* (* (/ (/ 1 1) (* (/ y x) y)) (/ (/ 1 1) (* (/ y x) y))) (/ (/ 1 1) (* (/ y x) y))) (sqrt (/ (/ 1 1) (* (/ y x) y))) (sqrt (/ (/ 1 1) (* (/ y x) y))) (- (/ 1 1)) (- (* (/ y x) y)) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ y x)) (/ (cbrt (/ 1 1)) y) (/ (sqrt (/ 1 1)) (/ y x)) (/ (sqrt (/ 1 1)) y) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 1) (cbrt 1))) (/ y x)) (/ (/ (cbrt 1) (cbrt 1)) y) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ y x)) (/ (/ (cbrt 1) (sqrt 1)) y) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ y x)) (/ (/ (cbrt 1) 1) y) (/ (/ (sqrt 1) (* (cbrt 1) (cbrt 1))) (/ y x)) (/ (/ (sqrt 1) (cbrt 1)) y) (/ (/ (sqrt 1) (sqrt 1)) (/ y x)) (/ (/ (sqrt 1) (sqrt 1)) y) (/ (/ (sqrt 1) 1) (/ y x)) (/ (/ (sqrt 1) 1) y) (/ (/ 1 (* (cbrt 1) (cbrt 1))) (/ y x)) (/ (/ 1 (cbrt 1)) y) (/ (/ 1 (sqrt 1)) (/ y x)) (/ (/ 1 (sqrt 1)) y) (/ (/ 1 1) (/ y x)) (/ (/ 1 1) y) (/ 1 (/ y x)) (/ (/ 1 1) y) (/ 1 (/ y x)) (/ (/ 1 1) y) (/ 1 (* (/ y x) y)) (/ (* (/ y x) y) (/ 1 1)) (/ (/ 1 1) (/ y x)) (/ (* (/ y x) y) (cbrt (/ 1 1))) (/ (* (/ y x) y) (sqrt (/ 1 1))) (/ (* (/ y x) y) (/ (cbrt 1) (cbrt 1))) (/ (* (/ y x) y) (/ (cbrt 1) (sqrt 1))) (/ (* (/ y x) y) (/ (cbrt 1) 1)) (/ (* (/ y x) y) (/ (sqrt 1) (cbrt 1))) (/ (* (/ y x) y) (/ (sqrt 1) (sqrt 1))) (/ (* (/ y x) y) (/ (sqrt 1) 1)) (/ (* (/ y x) y) (/ 1 (cbrt 1))) (/ (* (/ y x) y) (/ 1 (sqrt 1))) (/ (* (/ y x) y) (/ 1 1)) (/ (* (/ y x) y) (/ 1 1)) (/ (* (/ y x) y) (/ 1 1)) (/ (/ 1 1) (* y y)) (* (* (/ y x) y) 1) (expm1 (* (/ y x) y)) (log1p (* (/ y x) y)) (* (/ y x) y) (+ (- (log y) (log x)) (log y)) (+ (log (/ y x)) (log y)) (log (* (/ y x) y)) (exp (* (/ y x) y)) (* (/ (* (* y y) y) (* (* x x) x)) (* (* y y) y)) (* (* (* (/ y x) (/ y x)) (/ y x)) (* (* y y) y)) (* (cbrt (* (/ y x) y)) (cbrt (* (/ y x) y))) (cbrt (* (/ y x) y)) (* (* (* (/ y x) y) (* (/ y x) y)) (* (/ y x) y)) (sqrt (* (/ y x) y)) (sqrt (* (/ y x) y)) (* (sqrt (/ y x)) (sqrt y)) (* (sqrt (/ y x)) (sqrt y)) (* (/ (sqrt y) (sqrt x)) (sqrt y)) (* (/ (sqrt y) (sqrt x)) (sqrt y)) (* (/ y x) (* (cbrt y) (cbrt y))) (* (/ y x) (sqrt y)) (* (/ y x) 1) (* (cbrt (/ y x)) y) (* (sqrt (/ y x)) y) (* (/ (cbrt y) (cbrt x)) y) (* (/ (cbrt y) (sqrt x)) y) (* (/ (cbrt y) x) y) (* (/ (sqrt y) (cbrt x)) y) (* (/ (sqrt y) (sqrt x)) y) (* (/ (sqrt y) x) y) (* (/ y (cbrt x)) y) (* (/ y (sqrt x)) y) (* (/ y x) y) (* (/ y x) y) (* (/ 1 x) y) (* y y) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) (/ (pow y 2) x) (/ (pow y 2) x) (/ (pow y 2) x) 6.339 * * [simplify]: iteration 0 : 175 enodes (cost 1206 ) 6.421 * * [simplify]: iteration 1 : 466 enodes (cost 892 ) 6.543 * * [simplify]: iteration 2 : 935 enodes (cost 728 ) 7.967 * * [simplify]: iteration 3 : 3212 enodes (cost 646 ) 9.657 * * [simplify]: iteration done : 5000 enodes (cost 646 ) 9.658 * [simplify]: Simplified to: (expm1 (/ x (pow y 2))) (log1p (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (exp (/ x (pow y 2))) (pow (/ x (pow y 2)) 3) (pow (/ x (pow y 2)) 3) (pow (/ x (pow y 2)) 3) (pow (/ x (pow y 2)) 3) (pow (/ x (pow y 2)) 3) (pow (/ x (pow y 2)) 3) (* (cbrt (/ x (pow y 2))) (cbrt (/ x (pow y 2)))) (cbrt (/ x (pow y 2))) (pow (/ x (pow y 2)) 3) (sqrt (/ x (pow y 2))) (sqrt (/ x (pow y 2))) -1 (- (* (/ y x) y)) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ x (pow y 2)) (/ y (/ x y)) (/ x y) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ x y)) (/ (/ 1 y) y) (/ y (/ x y)) (expm1 (* (/ y x) y)) (log1p (* (/ y x) y)) (/ y (/ x y)) (log (* (/ y x) y)) (log (* (/ y x) y)) (log (* (/ y x) y)) (exp (* (/ y x) y)) (pow (/ y (/ x y)) 3) (pow (/ y (/ x y)) 3) (* (cbrt (* (/ y x) y)) (cbrt (* (/ y x) y))) (cbrt (* (/ y x) y)) (pow (/ y (/ x y)) 3) (sqrt (* (/ y x) y)) (sqrt (* (/ y x) y)) (* (sqrt (/ y x)) (sqrt y)) (* (sqrt (/ y x)) (sqrt y)) (/ y (sqrt x)) (/ y (sqrt x)) (* (/ y x) (* (cbrt y) (cbrt y))) (* (/ (sqrt y) x) y) (/ y x) (* (cbrt (/ y x)) y) (* (sqrt (/ y x)) y) (* (/ (cbrt y) (cbrt x)) y) (* (/ (cbrt y) (sqrt x)) y) (* (/ (cbrt y) x) y) (* (/ (sqrt y) (cbrt x)) y) (* (/ (sqrt y) (sqrt x)) y) (* (/ (sqrt y) x) y) (* (/ y (cbrt x)) y) (* (/ y (sqrt x)) y) (/ y (/ x y)) (/ y (/ x y)) (/ y x) (* y y) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ x y)) 9.659 * * * [progress]: adding candidates to table 9.831 * * [progress]: iteration 4 / 4 9.831 * * * [progress]: picking best candidate 9.840 * * * * [pick]: Picked # 9.840 * * * [progress]: localizing error 9.847 * * * [progress]: generating rewritten candidates 9.847 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 9.864 * * * [progress]: generating series expansions 9.865 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 9.865 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 9.865 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 9.865 * [taylor]: Taking taylor expansion of x in y 9.865 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.865 * [taylor]: Taking taylor expansion of y in y 9.865 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 9.866 * [taylor]: Taking taylor expansion of x in x 9.866 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.866 * [taylor]: Taking taylor expansion of y in x 9.866 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 9.866 * [taylor]: Taking taylor expansion of x in x 9.866 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.866 * [taylor]: Taking taylor expansion of y in x 9.866 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.866 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.866 * [taylor]: Taking taylor expansion of y in y 9.867 * [taylor]: Taking taylor expansion of 0 in y 9.869 * [taylor]: Taking taylor expansion of 0 in y 9.872 * [taylor]: Taking taylor expansion of 0 in y 9.875 * [taylor]: Taking taylor expansion of 0 in y 9.875 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 9.875 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 9.875 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.875 * [taylor]: Taking taylor expansion of y in y 9.875 * [taylor]: Taking taylor expansion of x in y 9.875 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 9.876 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.876 * [taylor]: Taking taylor expansion of y in x 9.876 * [taylor]: Taking taylor expansion of x in x 9.876 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 9.876 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.876 * [taylor]: Taking taylor expansion of y in x 9.876 * [taylor]: Taking taylor expansion of x in x 9.876 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.876 * [taylor]: Taking taylor expansion of y in y 9.877 * [taylor]: Taking taylor expansion of 0 in y 9.879 * [taylor]: Taking taylor expansion of 0 in y 9.882 * [taylor]: Taking taylor expansion of 0 in y 9.882 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 9.882 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 9.882 * [taylor]: Taking taylor expansion of -1 in y 9.883 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 9.883 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.883 * [taylor]: Taking taylor expansion of y in y 9.883 * [taylor]: Taking taylor expansion of x in y 9.883 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 9.883 * [taylor]: Taking taylor expansion of -1 in x 9.883 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 9.883 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.883 * [taylor]: Taking taylor expansion of y in x 9.883 * [taylor]: Taking taylor expansion of x in x 9.883 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 9.883 * [taylor]: Taking taylor expansion of -1 in x 9.883 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 9.883 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.883 * [taylor]: Taking taylor expansion of y in x 9.883 * [taylor]: Taking taylor expansion of x in x 9.884 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 9.884 * [taylor]: Taking taylor expansion of -1 in y 9.884 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.884 * [taylor]: Taking taylor expansion of y in y 9.886 * [taylor]: Taking taylor expansion of 0 in y 9.889 * [taylor]: Taking taylor expansion of 0 in y 9.893 * [taylor]: Taking taylor expansion of 0 in y 9.894 * * * [progress]: simplifying candidates 9.894 * [simplify]: Simplifying using # : (expm1 (* (/ x y) (/ 1 y))) (log1p (* (/ x y) (/ 1 y))) (* (/ x y) (/ 1 y)) (+ (- (log x) (log y)) (- (log y))) (+ (- (log x) (log y)) (- 0 (log y))) (+ (- (log x) (log y)) (- (log 1) (log y))) (+ (- (log x) (log y)) (log (/ 1 y))) (+ (log (/ x y)) (- (log y))) (+ (log (/ x y)) (- 0 (log y))) (+ (log (/ x y)) (- (log 1) (log y))) (+ (log (/ x y)) (log (/ 1 y))) (log (* (/ x y) (/ 1 y))) (exp (* (/ x y) (/ 1 y))) (* (/ (* (* x x) x) (* (* y y) y)) (/ (* (* 1 1) 1) (* (* y y) y))) (* (/ (* (* x x) x) (* (* y y) y)) (* (* (/ 1 y) (/ 1 y)) (/ 1 y))) (* (* (* (/ x y) (/ x y)) (/ x y)) (/ (* (* 1 1) 1) (* (* y y) y))) (* (* (* (/ x y) (/ x y)) (/ x y)) (* (* (/ 1 y) (/ 1 y)) (/ 1 y))) (* (cbrt (* (/ x y) (/ 1 y))) (cbrt (* (/ x y) (/ 1 y)))) (cbrt (* (/ x y) (/ 1 y))) (* (* (* (/ x y) (/ 1 y)) (* (/ x y) (/ 1 y))) (* (/ x y) (/ 1 y))) (sqrt (* (/ x y) (/ 1 y))) (sqrt (* (/ x y) (/ 1 y))) (* x 1) (* y y) (* (sqrt (/ x y)) (sqrt (/ 1 y))) (* (sqrt (/ x y)) (sqrt (/ 1 y))) (* (sqrt (/ x y)) (/ (sqrt 1) (sqrt y))) (* (sqrt (/ x y)) (/ (sqrt 1) (sqrt y))) (* (sqrt (/ x y)) (/ 1 (sqrt y))) (* (sqrt (/ x y)) (/ 1 (sqrt y))) (* (/ (sqrt x) (sqrt y)) (sqrt (/ 1 y))) (* (/ (sqrt x) (sqrt y)) (sqrt (/ 1 y))) (* (/ (sqrt x) (sqrt y)) (/ (sqrt 1) (sqrt y))) (* (/ (sqrt x) (sqrt y)) (/ (sqrt 1) (sqrt y))) (* (/ (sqrt x) (sqrt y)) (/ 1 (sqrt y))) (* (/ (sqrt x) (sqrt y)) (/ 1 (sqrt y))) (* (/ x y) (* (cbrt (/ 1 y)) (cbrt (/ 1 y)))) (* (/ x y) (sqrt (/ 1 y))) (* (/ x y) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y)))) (* (/ x y) (/ (* (cbrt 1) (cbrt 1)) (sqrt y))) (* (/ x y) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (/ x y) (/ (sqrt 1) (* (cbrt y) (cbrt y)))) (* (/ x y) (/ (sqrt 1) (sqrt y))) (* (/ x y) (/ (sqrt 1) 1)) (* (/ x y) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ x y) (/ 1 (sqrt y))) (* (/ x y) (/ 1 1)) (* (/ x y) 1) (* (/ x y) 1) (* (cbrt (/ x y)) (/ 1 y)) (* (sqrt (/ x y)) (/ 1 y)) (* (/ (cbrt x) (cbrt y)) (/ 1 y)) (* (/ (cbrt x) (sqrt y)) (/ 1 y)) (* (/ (cbrt x) y) (/ 1 y)) (* (/ (sqrt x) (cbrt y)) (/ 1 y)) (* (/ (sqrt x) (sqrt y)) (/ 1 y)) (* (/ (sqrt x) y) (/ 1 y)) (* (/ x (cbrt y)) (/ 1 y)) (* (/ x (sqrt y)) (/ 1 y)) (* (/ x y) (/ 1 y)) (* (/ x y) (/ 1 y)) (* (/ 1 y) (/ 1 y)) (* (/ x y) 1) (* x (/ 1 y)) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 9.898 * * [simplify]: iteration 0 : 112 enodes (cost 649 ) 9.939 * * [simplify]: iteration 1 : 328 enodes (cost 526 ) 10.029 * * [simplify]: iteration 2 : 851 enodes (cost 426 ) 11.574 * * [simplify]: iteration 3 : 3121 enodes (cost 418 ) 12.665 * * [simplify]: iteration done : 5000 enodes (cost 418 ) 12.665 * [simplify]: Simplified to: (expm1 (/ (/ x y) y)) (log1p (/ (/ x y) y)) (/ (/ x y) y) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (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) (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 (pow y 2) (* (sqrt (/ x y)) (sqrt (/ 1 y))) (* (sqrt (/ x y)) (sqrt (/ 1 y))) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (* (/ (sqrt x) (sqrt y)) (sqrt (/ 1 y))) (* (/ (sqrt x) (sqrt y)) (sqrt (/ 1 y))) (/ (sqrt x) (pow y 1)) (/ (sqrt x) (pow y 1)) (/ (sqrt x) (pow y 1)) (/ (sqrt x) (pow y 1)) (* (/ x y) (* (cbrt (/ 1 y)) (cbrt (/ 1 y)))) (* (/ x y) (sqrt (/ 1 y))) (/ (/ x y) (* (cbrt y) (cbrt y))) (/ (/ x y) (sqrt y)) (/ x y) (/ (/ x y) (* (cbrt y) (cbrt y))) (/ (/ x y) (sqrt y)) (/ x y) (/ (/ x y) (* (cbrt y) (cbrt y))) (/ (/ x y) (sqrt y)) (/ x y) (/ x y) (/ x y) (/ (cbrt (/ x y)) y) (/ (sqrt (/ x y)) y) (/ (/ (cbrt x) y) (cbrt y)) (/ (/ (cbrt x) y) (sqrt y)) (/ (/ (cbrt x) y) y) (/ (/ (sqrt x) (cbrt y)) y) (/ (/ (sqrt x) y) (sqrt y)) (/ (/ (sqrt x) y) y) (/ x (* (cbrt y) y)) (/ (/ x y) (sqrt y)) (/ (/ x y) y) (/ (/ x y) y) (/ (/ 1 y) y) (/ x y) (/ x y) (/ (/ x y) y) (/ (/ x y) y) (/ (/ x y) y) 12.665 * * * [progress]: adding candidates to table 12.789 * [progress]: [Phase 3 of 3] Extracting. 12.790 * * [regime]: Finding splitpoints for: (# # # # # #) 12.790 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (/ x (* y y)) (- (/ x (* y y)) 3.0) y x) 12.790 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 12.814 * * * * [regimes]: Trying to branch on (/ x (* y y)) from (# # # # # #) 12.834 * * * * [regimes]: Trying to branch on (- (/ x (* y y)) 3.0) from (# # # # # #) 12.858 * * * * [regimes]: Trying to branch on y from (# # # # # #) 12.879 * * * * [regimes]: Trying to branch on x from (# # # # # #) 12.903 * * * [regime]: Found split indices: #