1.644 * [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 y)) 0.015 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.016 * * [simplify]: iteration 1 : 6 enodes (cost 5 ) 0.016 * * [simplify]: iteration done : 6 enodes (cost 5 ) 0.016 * [simplify]: Simplified to: (/ x (* y y)) 0.017 * * [progress]: iteration 1 / 4 0.017 * * * [progress]: picking best candidate 0.018 * * * * [pick]: Picked # 0.018 * * * [progress]: localizing error 0.021 * * * [progress]: generating rewritten candidates 0.021 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.025 * * * [progress]: generating series expansions 0.025 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.025 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.025 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.025 * [taylor]: Taking taylor expansion of x in y 0.025 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.025 * [taylor]: Taking taylor expansion of y in y 0.026 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.026 * [taylor]: Taking taylor expansion of y in x 0.026 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.026 * [taylor]: Taking taylor expansion of y in x 0.026 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.026 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.026 * [taylor]: Taking taylor expansion of y in y 0.027 * [taylor]: Taking taylor expansion of 0 in y 0.028 * [taylor]: Taking taylor expansion of 0 in y 0.030 * [taylor]: Taking taylor expansion of 0 in y 0.032 * [taylor]: Taking taylor expansion of 0 in y 0.032 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.032 * [taylor]: Taking taylor expansion of (/ (pow y 2) 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 0.032 * [taylor]: Taking taylor expansion of x in y 0.033 * [taylor]: Taking taylor expansion of (/ (pow y 2) 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 in x 0.033 * [taylor]: Taking taylor expansion of (/ (pow y 2) 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 in x 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.034 * [taylor]: Taking taylor expansion of 0 in y 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.038 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.038 * [taylor]: Taking taylor expansion of -1 in y 0.038 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.039 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.039 * [taylor]: Taking taylor expansion of -1 in x 0.039 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.039 * [taylor]: Taking taylor expansion of -1 in x 0.039 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.039 * [taylor]: Taking taylor expansion of -1 in y 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.047 * * * [progress]: simplifying candidates 0.047 * [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)) 0.049 * * [simplify]: iteration 0 : 45 enodes (cost 197 ) 0.056 * * [simplify]: iteration 1 : 97 enodes (cost 194 ) 0.078 * * [simplify]: iteration 2 : 279 enodes (cost 164 ) 0.180 * * [simplify]: iteration 3 : 1008 enodes (cost 164 ) 0.985 * * [simplify]: iteration 4 : 3806 enodes (cost 164 ) 2.315 * * [simplify]: iteration done : 5000 enodes (cost 164 ) 2.315 * [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 (/ x y)) (/ x y) (/ (* y y) (cbrt x)) (/ (* y y) (sqrt x)) (/ y (/ x y)) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 2.315 * * * [progress]: adding candidates to table 2.356 * * [progress]: iteration 2 / 4 2.356 * * * [progress]: picking best candidate 2.362 * * * * [pick]: Picked # 2.362 * * * [progress]: localizing error 2.365 * * * [progress]: generating rewritten candidates 2.365 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.374 * * * [progress]: generating series expansions 2.374 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.374 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 2.374 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 2.374 * [taylor]: Taking taylor expansion of x in y 2.374 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.374 * [taylor]: Taking taylor expansion of y in y 2.375 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 2.375 * [taylor]: Taking taylor expansion of x in x 2.375 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.375 * [taylor]: Taking taylor expansion of y in x 2.375 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 2.375 * [taylor]: Taking taylor expansion of x in x 2.375 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.375 * [taylor]: Taking taylor expansion of y in x 2.375 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.375 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.375 * [taylor]: Taking taylor expansion of y in y 2.376 * [taylor]: Taking taylor expansion of 0 in y 2.377 * [taylor]: Taking taylor expansion of 0 in y 2.379 * [taylor]: Taking taylor expansion of 0 in y 2.381 * [taylor]: Taking taylor expansion of 0 in y 2.381 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 2.381 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 2.381 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.381 * [taylor]: Taking taylor expansion of y in y 2.381 * [taylor]: Taking taylor expansion of x in y 2.382 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 2.382 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.382 * [taylor]: Taking taylor expansion of y in x 2.382 * [taylor]: Taking taylor expansion of x in x 2.382 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 2.382 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.382 * [taylor]: Taking taylor expansion of y in x 2.382 * [taylor]: Taking taylor expansion of x in x 2.382 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.382 * [taylor]: Taking taylor expansion of y in y 2.383 * [taylor]: Taking taylor expansion of 0 in y 2.384 * [taylor]: Taking taylor expansion of 0 in y 2.386 * [taylor]: Taking taylor expansion of 0 in y 2.387 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 2.387 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 2.387 * [taylor]: Taking taylor expansion of -1 in y 2.387 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 2.387 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.387 * [taylor]: Taking taylor expansion of y in y 2.387 * [taylor]: Taking taylor expansion of x in y 2.387 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 2.387 * [taylor]: Taking taylor expansion of -1 in x 2.387 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 2.387 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.387 * [taylor]: Taking taylor expansion of y in x 2.387 * [taylor]: Taking taylor expansion of x in x 2.387 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 2.387 * [taylor]: Taking taylor expansion of -1 in x 2.387 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 2.387 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.387 * [taylor]: Taking taylor expansion of y in x 2.387 * [taylor]: Taking taylor expansion of x in x 2.388 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 2.388 * [taylor]: Taking taylor expansion of -1 in y 2.388 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.388 * [taylor]: Taking taylor expansion of y in y 2.389 * [taylor]: Taking taylor expansion of 0 in y 2.392 * [taylor]: Taking taylor expansion of 0 in y 2.395 * [taylor]: Taking taylor expansion of 0 in y 2.395 * * * [progress]: simplifying candidates 2.396 * [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)) 2.400 * * [simplify]: iteration 0 : 142 enodes (cost 874 ) 2.438 * * [simplify]: iteration 1 : 313 enodes (cost 825 ) 2.526 * * [simplify]: iteration 2 : 748 enodes (cost 769 ) 2.928 * * [simplify]: iteration 3 : 2106 enodes (cost 757 ) 4.118 * * [simplify]: iteration done : 5000 enodes (cost 748 ) 4.119 * [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 y)) (/ y (cbrt x))) (/ (/ (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) (* y (cbrt 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) (* y (cbrt y))) (/ (* (cbrt x) (cbrt x)) (sqrt y)) (/ (/ (cbrt x) (sqrt y)) y) (* (cbrt x) (cbrt x)) (/ (/ (cbrt x) y) y) (/ (sqrt x) (* 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))) (/ (sqrt x) (* y (cbrt 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) (* y (cbrt y))) (/ (sqrt x) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) y) (sqrt x) (/ (/ (sqrt x) y) y) (/ (/ 1 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))) (/ (/ 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 (pow y 2)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x (cbrt y)) y) (/ 1 (sqrt y)) (/ (/ x (sqrt y)) y) 1 (/ x (pow y 2)) (/ 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))) (* (/ (cbrt y) (cbrt x)) 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 (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 4.119 * * * [progress]: adding candidates to table 4.232 * * [progress]: iteration 3 / 4 4.232 * * * [progress]: picking best candidate 4.242 * * * * [pick]: Picked # 4.242 * * * [progress]: localizing error 4.248 * * * [progress]: generating rewritten candidates 4.248 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.256 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 4.267 * * * [progress]: generating series expansions 4.267 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.268 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 4.268 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 4.268 * [taylor]: Taking taylor expansion of x in x 4.268 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.268 * [taylor]: Taking taylor expansion of y in x 4.268 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 4.268 * [taylor]: Taking taylor expansion of x in y 4.268 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.268 * [taylor]: Taking taylor expansion of y in y 4.268 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 4.269 * [taylor]: Taking taylor expansion of x in y 4.269 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.269 * [taylor]: Taking taylor expansion of y in y 4.269 * [taylor]: Taking taylor expansion of x in x 4.270 * [taylor]: Taking taylor expansion of 0 in x 4.271 * [taylor]: Taking taylor expansion of 0 in x 4.273 * [taylor]: Taking taylor expansion of 0 in x 4.273 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 4.273 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 4.273 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.273 * [taylor]: Taking taylor expansion of y in x 4.273 * [taylor]: Taking taylor expansion of x in x 4.274 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 4.274 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.274 * [taylor]: Taking taylor expansion of y in y 4.274 * [taylor]: Taking taylor expansion of x in y 4.274 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 4.274 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.274 * [taylor]: Taking taylor expansion of y in y 4.274 * [taylor]: Taking taylor expansion of x in y 4.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.274 * [taylor]: Taking taylor expansion of x in x 4.275 * [taylor]: Taking taylor expansion of 0 in x 4.276 * [taylor]: Taking taylor expansion of 0 in x 4.277 * [taylor]: Taking taylor expansion of 0 in x 4.279 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (y x) around 0 4.279 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 4.279 * [taylor]: Taking taylor expansion of -1 in x 4.279 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 4.279 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.279 * [taylor]: Taking taylor expansion of y in x 4.279 * [taylor]: Taking taylor expansion of x in x 4.279 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 4.279 * [taylor]: Taking taylor expansion of -1 in y 4.279 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 4.279 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.279 * [taylor]: Taking taylor expansion of y in y 4.279 * [taylor]: Taking taylor expansion of x in y 4.279 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 4.279 * [taylor]: Taking taylor expansion of -1 in y 4.279 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 4.279 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.279 * [taylor]: Taking taylor expansion of y in y 4.279 * [taylor]: Taking taylor expansion of x in y 4.280 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.280 * [taylor]: Taking taylor expansion of -1 in x 4.280 * [taylor]: Taking taylor expansion of x in x 4.281 * [taylor]: Taking taylor expansion of 0 in x 4.282 * [taylor]: Taking taylor expansion of 0 in x 4.284 * [taylor]: Taking taylor expansion of 0 in x 4.285 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 4.285 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 4.285 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 4.285 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.285 * [taylor]: Taking taylor expansion of y in x 4.285 * [taylor]: Taking taylor expansion of x in x 4.285 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 4.285 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.285 * [taylor]: Taking taylor expansion of y in y 4.285 * [taylor]: Taking taylor expansion of x in y 4.285 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 4.285 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.285 * [taylor]: Taking taylor expansion of y in y 4.286 * [taylor]: Taking taylor expansion of x in y 4.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.286 * [taylor]: Taking taylor expansion of x in x 4.287 * [taylor]: Taking taylor expansion of 0 in x 4.288 * [taylor]: Taking taylor expansion of 0 in x 4.289 * [taylor]: Taking taylor expansion of 0 in x 4.289 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 4.289 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 4.289 * [taylor]: Taking taylor expansion of x in x 4.289 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.289 * [taylor]: Taking taylor expansion of y in x 4.290 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 4.290 * [taylor]: Taking taylor expansion of x in y 4.290 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.290 * [taylor]: Taking taylor expansion of y in y 4.290 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 4.290 * [taylor]: Taking taylor expansion of x in y 4.290 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.290 * [taylor]: Taking taylor expansion of y in y 4.290 * [taylor]: Taking taylor expansion of x in x 4.291 * [taylor]: Taking taylor expansion of 0 in x 4.292 * [taylor]: Taking taylor expansion of 0 in x 4.294 * [taylor]: Taking taylor expansion of 0 in x 4.294 * [approximate]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in (y x) around 0 4.294 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in x 4.294 * [taylor]: Taking taylor expansion of -1 in x 4.294 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 4.294 * [taylor]: Taking taylor expansion of x in x 4.295 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.295 * [taylor]: Taking taylor expansion of y in x 4.295 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 4.295 * [taylor]: Taking taylor expansion of -1 in y 4.295 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 4.295 * [taylor]: Taking taylor expansion of x in y 4.295 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.295 * [taylor]: Taking taylor expansion of y in y 4.295 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 4.295 * [taylor]: Taking taylor expansion of -1 in y 4.295 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 4.295 * [taylor]: Taking taylor expansion of x in y 4.295 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.295 * [taylor]: Taking taylor expansion of y in y 4.295 * [taylor]: Taking taylor expansion of (* -1 x) in x 4.295 * [taylor]: Taking taylor expansion of -1 in x 4.295 * [taylor]: Taking taylor expansion of x in x 4.297 * [taylor]: Taking taylor expansion of 0 in x 4.299 * [taylor]: Taking taylor expansion of 0 in x 4.302 * [taylor]: Taking taylor expansion of 0 in x 4.302 * * * [progress]: simplifying candidates 4.304 * [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) 4.308 * * [simplify]: iteration 0 : 175 enodes (cost 1206 ) 4.379 * * [simplify]: iteration 1 : 466 enodes (cost 892 ) 4.480 * * [simplify]: iteration 2 : 935 enodes (cost 728 ) 5.324 * * [simplify]: iteration 3 : 3212 enodes (cost 646 ) 6.497 * * [simplify]: iteration done : 5000 enodes (cost 646 ) 6.498 * [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)) 6.499 * * * [progress]: adding candidates to table 6.633 * * [progress]: iteration 4 / 4 6.633 * * * [progress]: picking best candidate 6.640 * * * * [pick]: Picked # 6.640 * * * [progress]: localizing error 6.644 * * * [progress]: generating rewritten candidates 6.645 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 6.660 * * * [progress]: generating series expansions 6.660 * * * * [progress]: [ 1 / 1 ] generating series at (2) 6.660 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 6.660 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 6.660 * [taylor]: Taking taylor expansion of x in y 6.660 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.660 * [taylor]: Taking taylor expansion of y in y 6.661 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 6.661 * [taylor]: Taking taylor expansion of x in x 6.661 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.661 * [taylor]: Taking taylor expansion of y in x 6.661 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 6.661 * [taylor]: Taking taylor expansion of x in x 6.661 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.661 * [taylor]: Taking taylor expansion of y in x 6.661 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.661 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.661 * [taylor]: Taking taylor expansion of y in y 6.662 * [taylor]: Taking taylor expansion of 0 in y 6.664 * [taylor]: Taking taylor expansion of 0 in y 6.669 * [taylor]: Taking taylor expansion of 0 in y 6.671 * [taylor]: Taking taylor expansion of 0 in y 6.672 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 6.672 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 6.672 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.672 * [taylor]: Taking taylor expansion of y in y 6.672 * [taylor]: Taking taylor expansion of x in y 6.672 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 6.672 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.672 * [taylor]: Taking taylor expansion of y in x 6.672 * [taylor]: Taking taylor expansion of x in x 6.672 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 6.672 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.672 * [taylor]: Taking taylor expansion of y in x 6.672 * [taylor]: Taking taylor expansion of x in x 6.672 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.672 * [taylor]: Taking taylor expansion of y in y 6.673 * [taylor]: Taking taylor expansion of 0 in y 6.675 * [taylor]: Taking taylor expansion of 0 in y 6.677 * [taylor]: Taking taylor expansion of 0 in y 6.678 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 6.678 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 6.678 * [taylor]: Taking taylor expansion of -1 in y 6.678 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 6.678 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.678 * [taylor]: Taking taylor expansion of y in y 6.678 * [taylor]: Taking taylor expansion of x in y 6.678 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 6.678 * [taylor]: Taking taylor expansion of -1 in x 6.678 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 6.678 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.678 * [taylor]: Taking taylor expansion of y in x 6.678 * [taylor]: Taking taylor expansion of x in x 6.678 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 6.678 * [taylor]: Taking taylor expansion of -1 in x 6.678 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 6.678 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.678 * [taylor]: Taking taylor expansion of y in x 6.678 * [taylor]: Taking taylor expansion of x in x 6.679 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 6.679 * [taylor]: Taking taylor expansion of -1 in y 6.679 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.679 * [taylor]: Taking taylor expansion of y in y 6.680 * [taylor]: Taking taylor expansion of 0 in y 6.683 * [taylor]: Taking taylor expansion of 0 in y 6.686 * [taylor]: Taking taylor expansion of 0 in y 6.687 * * * [progress]: simplifying candidates 6.689 * [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)) 6.691 * * [simplify]: iteration 0 : 112 enodes (cost 649 ) 6.724 * * [simplify]: iteration 1 : 328 enodes (cost 526 ) 6.807 * * [simplify]: iteration 2 : 851 enodes (cost 426 ) 7.714 * * [simplify]: iteration 3 : 3134 enodes (cost 418 ) 8.698 * * [simplify]: iteration done : 5001 enodes (cost 418 ) 8.698 * [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 y) (cbrt 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) 8.699 * * * [progress]: adding candidates to table 8.791 * [progress]: [Phase 3 of 3] Extracting. 8.791 * * [regime]: Finding splitpoints for: (# # # # # # # #) 8.791 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (/ x (* y y)) y x) 8.791 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # # #) 8.811 * * * * [regimes]: Trying to branch on (* y y) from (# #) 8.823 * * * * [regimes]: Trying to branch on (/ x (* y y)) from (# # # # # # # #) 8.843 * * * * [regimes]: Trying to branch on y from (# # # # # # # #) 8.866 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 8.887 * * * [regime]: Found split indices: #