9.738 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (- (/ x (* y y)) 3.0) 0.019 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.021 * * [simplify]: iteration 1 : 11 enodes (cost 3 ) 0.022 * * [simplify]: iteration 2 : 11 enodes (cost 3 ) 0.022 * [simplify]: Simplified to: (- (/ x (* y y)) 3.0) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.032 * * * [progress]: generating series expansions 0.032 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.033 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.033 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.033 * [taylor]: Taking taylor expansion of x in y 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.033 * [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 0.034 * [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 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.040 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of x in y 0.041 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [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 0.050 * [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 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.059 * * * [progress]: simplifying candidates 0.060 * [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)) 0.064 * * [simplify]: iteration 0 : 99 enodes (cost 86 ) 0.066 * * [simplify]: iteration 1 : 320 enodes (cost 71 ) 0.071 * * [simplify]: iteration 2 : 952 enodes (cost 71 ) 0.090 * * [simplify]: iteration 3 : 4497 enodes (cost 71 ) 0.156 * * [simplify]: iteration 4 : 5002 enodes (cost 71 ) 0.157 * [simplify]: Simplified to: (log (/ x (* y y))) (log (/ x (* y y))) (log (/ x (* y y))) (exp (/ x (* y y))) (pow (/ x (* y y)) 3) (pow (/ x (* y y)) 3) (* (cbrt (/ x (* y y))) (cbrt (/ x (* y y)))) (cbrt (/ x (* y y))) (pow (/ x (* y y)) 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 (* y y)) (/ x (* y y)) (/ x (* y y)) 0.157 * * * [progress]: adding candidates to table 0.192 * * [progress]: iteration 2 / 4 0.192 * * * [progress]: picking best candidate 0.199 * * * * [pick]: Picked # 0.199 * * * [progress]: localizing error 0.204 * * * [progress]: generating rewritten candidates 0.204 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.213 * * * [progress]: generating series expansions 0.213 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.213 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.213 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.213 * [taylor]: Taking taylor expansion of x in y 0.213 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.214 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.214 * [taylor]: Taking taylor expansion of y in x 0.214 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.214 * [taylor]: Taking taylor expansion of y in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.214 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.214 * [taylor]: Taking taylor expansion of y in y 0.215 * [taylor]: Taking taylor expansion of 0 in y 0.217 * [taylor]: Taking taylor expansion of 0 in y 0.219 * [taylor]: Taking taylor expansion of 0 in y 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.221 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.221 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.221 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.221 * [taylor]: Taking taylor expansion of y in y 0.221 * [taylor]: Taking taylor expansion of x in y 0.222 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.222 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.222 * [taylor]: Taking taylor expansion of y in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.222 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.222 * [taylor]: Taking taylor expansion of y in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.222 * [taylor]: Taking taylor expansion of y in y 0.223 * [taylor]: Taking taylor expansion of 0 in y 0.225 * [taylor]: Taking taylor expansion of 0 in y 0.227 * [taylor]: Taking taylor expansion of 0 in y 0.227 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.227 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.227 * [taylor]: Taking taylor expansion of -1 in y 0.227 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.227 * [taylor]: Taking taylor expansion of x in y 0.228 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.228 * [taylor]: Taking taylor expansion of -1 in x 0.228 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.228 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.228 * [taylor]: Taking taylor expansion of -1 in x 0.228 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.228 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.228 * [taylor]: Taking taylor expansion of -1 in y 0.228 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.230 * [taylor]: Taking taylor expansion of 0 in y 0.232 * [taylor]: Taking taylor expansion of 0 in y 0.236 * [taylor]: Taking taylor expansion of 0 in y 0.236 * * * [progress]: simplifying candidates 0.237 * [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)) 0.243 * * [simplify]: iteration 0 : 311 enodes (cost 449 ) 0.249 * * [simplify]: iteration 1 : 1180 enodes (cost 415 ) 0.270 * * [simplify]: iteration 2 : 5001 enodes (cost 406 ) 0.272 * [simplify]: Simplified to: (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (exp (/ (/ x y) y)) (pow (/ (/ x y) y) 3) (pow (/ (/ x y) y) 3) (* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y))) (cbrt (/ (/ x y) y)) (pow (/ (/ x y) y) 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)) (/ (cbrt x) (pow (cbrt y) 3))) (/ (/ (cbrt x) (cbrt y)) (cbrt y)) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) (sqrt y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) y) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) (sqrt y)) (/ (cbrt x) (/ y (cbrt x))) (/ (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) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (sqrt y)) (cbrt y)) (/ (sqrt x) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) y) (cbrt y)) (/ (/ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (sqrt y)) (cbrt 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 (cbrt y)) (pow (cbrt y) 3)) (/ x (* (cbrt y) (cbrt y))) (/ (/ 1 (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ x (sqrt y)) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ (/ 1 (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ x (sqrt y)) (cbrt y)) (/ 1 y) (/ x y) (/ 1 (sqrt y)) (/ (/ x y) (sqrt y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (/ x y) (sqrt y)) 1 (/ (/ x y) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (/ x y) (sqrt 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 y) (sqrt 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) 0.273 * * * [progress]: adding candidates to table 0.599 * * [progress]: iteration 3 / 4 0.599 * * * [progress]: picking best candidate 0.605 * * * * [pick]: Picked # 0.605 * * * [progress]: localizing error 0.611 * * * [progress]: generating rewritten candidates 0.611 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.626 * * * [progress]: generating series expansions 0.626 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.626 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.626 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.626 * [taylor]: Taking taylor expansion of x in y 0.626 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.626 * [taylor]: Taking taylor expansion of y in y 0.627 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.627 * [taylor]: Taking taylor expansion of x in x 0.627 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.627 * [taylor]: Taking taylor expansion of y in x 0.627 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.627 * [taylor]: Taking taylor expansion of x in x 0.627 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.627 * [taylor]: Taking taylor expansion of y in x 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.627 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.627 * [taylor]: Taking taylor expansion of y in y 0.628 * [taylor]: Taking taylor expansion of 0 in y 0.629 * [taylor]: Taking taylor expansion of 0 in y 0.631 * [taylor]: Taking taylor expansion of 0 in y 0.633 * [taylor]: Taking taylor expansion of 0 in y 0.634 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.634 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.634 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.634 * [taylor]: Taking taylor expansion of y in y 0.634 * [taylor]: Taking taylor expansion of x in y 0.634 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.634 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.634 * [taylor]: Taking taylor expansion of y in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.634 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.634 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.634 * [taylor]: Taking taylor expansion of y in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.634 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.634 * [taylor]: Taking taylor expansion of y in y 0.635 * [taylor]: Taking taylor expansion of 0 in y 0.637 * [taylor]: Taking taylor expansion of 0 in y 0.639 * [taylor]: Taking taylor expansion of 0 in y 0.639 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.639 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.639 * [taylor]: Taking taylor expansion of -1 in y 0.640 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.640 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.640 * [taylor]: Taking taylor expansion of y in y 0.640 * [taylor]: Taking taylor expansion of x in y 0.640 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.640 * [taylor]: Taking taylor expansion of -1 in x 0.640 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.640 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.640 * [taylor]: Taking taylor expansion of y in x 0.640 * [taylor]: Taking taylor expansion of x in x 0.640 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.640 * [taylor]: Taking taylor expansion of -1 in x 0.640 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.640 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.640 * [taylor]: Taking taylor expansion of y in x 0.640 * [taylor]: Taking taylor expansion of x in x 0.640 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.640 * [taylor]: Taking taylor expansion of -1 in y 0.640 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.640 * [taylor]: Taking taylor expansion of y in y 0.642 * [taylor]: Taking taylor expansion of 0 in y 0.645 * [taylor]: Taking taylor expansion of 0 in y 0.649 * [taylor]: Taking taylor expansion of 0 in y 0.649 * * * [progress]: simplifying candidates 0.650 * [simplify]: Simplifying using # : (* (/ 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)) 0.654 * * [simplify]: iteration 0 : 327 enodes (cost 300 ) 0.662 * * [simplify]: iteration 1 : 1578 enodes (cost 253 ) 0.692 * * [simplify]: iteration 2 : 5001 enodes (cost 219 ) 0.694 * [simplify]: Simplified to: (/ (/ x y) y) (- (log (/ x y)) (log y)) (- (log (/ x y)) (log y)) (- (log (/ x y)) (log y)) (- (log (/ x y)) (log y)) (- (log (/ x y)) (log y)) (- (log (/ x y)) (log y)) (- (log (/ x y)) (log y)) (- (log (/ x y)) (log y)) (- (log (/ x y)) (log y)) (exp (* (/ x y) (/ 1 y))) (pow (/ (/ x y) y) 3) (pow (/ (/ x y) y) 3) (pow (/ (/ x y) y) 3) (pow (/ (/ x y) y) 3) (* (cbrt (* (/ x y) (/ 1 y))) (cbrt (* (/ x y) (/ 1 y)))) (cbrt (* (/ x y) (/ 1 y))) (pow (/ (/ x y) y) 3) (sqrt (* (/ x y) (/ 1 y))) (sqrt (* (/ x y) (/ 1 y))) x (pow y 2) (* (sqrt (/ x y)) (sqrt (/ 1 y))) (* (sqrt (/ x y)) (sqrt (/ 1 y))) (/ (sqrt (/ x y)) (pow y 1/2)) (/ (sqrt (/ x y)) (pow y 1/2)) (/ (sqrt (/ x y)) (pow y 1/2)) (/ (sqrt (/ x y)) (pow y 1/2)) (* (/ (sqrt x) (sqrt y)) (sqrt (/ 1 y))) (* (/ (sqrt x) (sqrt y)) (sqrt (/ 1 y))) (/ (sqrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (* (/ 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)) (/ 1 y)) (* (sqrt (/ x y)) (/ 1 y)) (* (/ (cbrt x) (cbrt y)) (/ 1 y)) (/ (/ (cbrt x) y) (pow y 1/2)) (* (/ (cbrt x) y) (/ 1 y)) (* (/ (sqrt x) (cbrt y)) (/ 1 y)) (/ (/ (sqrt x) y) (pow y 1/2)) (* (/ (sqrt x) y) (/ 1 y)) (/ (/ x y) (cbrt y)) (/ (/ x y) (sqrt y)) (/ (/ x y) y) (/ (/ x y) y) (/ 1 (pow y 2)) (/ x y) (/ x y) (/ (/ x y) y) (/ (/ x y) y) (/ (/ x y) y) 0.694 * * * [progress]: adding candidates to table 0.793 * * [progress]: iteration 4 / 4 0.793 * * * [progress]: picking best candidate 0.798 * * * * [pick]: Picked # 0.798 * * * [progress]: localizing error 0.812 * * * [progress]: generating rewritten candidates 0.812 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 2) 0.812 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2) 0.813 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 0.813 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 0.821 * * * [progress]: generating series expansions 0.821 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 2) 0.821 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 0.821 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.821 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.821 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.821 * [taylor]: Taking taylor expansion of 1/3 in y 0.821 * [taylor]: Taking taylor expansion of (log y) in y 0.821 * [taylor]: Taking taylor expansion of y in y 0.822 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.822 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.822 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.822 * [taylor]: Taking taylor expansion of 1/3 in y 0.822 * [taylor]: Taking taylor expansion of (log y) in y 0.822 * [taylor]: Taking taylor expansion of y in y 0.871 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 0.871 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.871 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.871 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.871 * [taylor]: Taking taylor expansion of 1/3 in y 0.871 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.871 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.871 * [taylor]: Taking taylor expansion of y in y 0.872 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.872 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.872 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.872 * [taylor]: Taking taylor expansion of 1/3 in y 0.872 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.872 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.872 * [taylor]: Taking taylor expansion of y in y 0.928 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 0.928 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.928 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.928 * [taylor]: Taking taylor expansion of -1 in y 0.929 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.929 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.929 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.929 * [taylor]: Taking taylor expansion of 1/3 in y 0.929 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.929 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.929 * [taylor]: Taking taylor expansion of y in y 0.930 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.930 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.930 * [taylor]: Taking taylor expansion of -1 in y 0.931 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.931 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.931 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.931 * [taylor]: Taking taylor expansion of 1/3 in y 0.931 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.931 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.931 * [taylor]: Taking taylor expansion of y in y 0.998 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2) 0.998 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 0.998 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.998 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.998 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.998 * [taylor]: Taking taylor expansion of 1/3 in y 0.998 * [taylor]: Taking taylor expansion of (log y) in y 0.998 * [taylor]: Taking taylor expansion of y in y 0.999 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.999 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.999 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.999 * [taylor]: Taking taylor expansion of 1/3 in y 0.999 * [taylor]: Taking taylor expansion of (log y) in y 0.999 * [taylor]: Taking taylor expansion of y in y 1.051 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 1.051 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.051 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.051 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.051 * [taylor]: Taking taylor expansion of 1/3 in y 1.051 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.051 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.051 * [taylor]: Taking taylor expansion of y in y 1.052 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.052 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.052 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.052 * [taylor]: Taking taylor expansion of 1/3 in y 1.052 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.052 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.052 * [taylor]: Taking taylor expansion of y in y 1.105 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.105 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.105 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.105 * [taylor]: Taking taylor expansion of -1 in y 1.106 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.106 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.106 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.106 * [taylor]: Taking taylor expansion of 1/3 in y 1.106 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.106 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.106 * [taylor]: Taking taylor expansion of y in y 1.107 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.107 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.107 * [taylor]: Taking taylor expansion of -1 in y 1.108 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.108 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.108 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.108 * [taylor]: Taking taylor expansion of 1/3 in y 1.108 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.108 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.108 * [taylor]: Taking taylor expansion of y in y 1.180 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 1.180 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 1.180 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.180 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.180 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.180 * [taylor]: Taking taylor expansion of 1/3 in y 1.180 * [taylor]: Taking taylor expansion of (log y) in y 1.180 * [taylor]: Taking taylor expansion of y in y 1.181 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.181 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.181 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.181 * [taylor]: Taking taylor expansion of 1/3 in y 1.181 * [taylor]: Taking taylor expansion of (log y) in y 1.181 * [taylor]: Taking taylor expansion of y in y 1.237 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 1.237 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.237 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.237 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.237 * [taylor]: Taking taylor expansion of 1/3 in y 1.237 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.237 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.237 * [taylor]: Taking taylor expansion of y in y 1.238 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.238 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.238 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.238 * [taylor]: Taking taylor expansion of 1/3 in y 1.238 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.238 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.238 * [taylor]: Taking taylor expansion of y in y 1.298 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.298 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.298 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.298 * [taylor]: Taking taylor expansion of -1 in y 1.299 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.299 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.299 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.299 * [taylor]: Taking taylor expansion of 1/3 in y 1.299 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.299 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.299 * [taylor]: Taking taylor expansion of y in y 1.300 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.300 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.300 * [taylor]: Taking taylor expansion of -1 in y 1.301 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.301 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.301 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.301 * [taylor]: Taking taylor expansion of 1/3 in y 1.301 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.301 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.301 * [taylor]: Taking taylor expansion of y in y 1.372 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 1.372 * [approximate]: Taking taylor expansion of (pow (pow y 2) 1/3) in (y) around 0 1.372 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.372 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.372 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.372 * [taylor]: Taking taylor expansion of 1/3 in y 1.372 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.372 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.372 * [taylor]: Taking taylor expansion of y in y 1.373 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.373 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.373 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.373 * [taylor]: Taking taylor expansion of 1/3 in y 1.373 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.373 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.373 * [taylor]: Taking taylor expansion of y in y 1.425 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in (y) around 0 1.425 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.425 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.425 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.425 * [taylor]: Taking taylor expansion of 1/3 in y 1.425 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.425 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.425 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.425 * [taylor]: Taking taylor expansion of y in y 1.427 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.427 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.427 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.427 * [taylor]: Taking taylor expansion of 1/3 in y 1.427 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.427 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.427 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.427 * [taylor]: Taking taylor expansion of y in y 1.490 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in (y) around 0 1.490 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in y 1.490 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 1.490 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.490 * [taylor]: Taking taylor expansion of -1 in y 1.491 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.491 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.491 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.491 * [taylor]: Taking taylor expansion of 1/3 in y 1.491 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.491 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.491 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.491 * [taylor]: Taking taylor expansion of y in y 1.492 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in y 1.492 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 1.492 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.492 * [taylor]: Taking taylor expansion of -1 in y 1.493 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.493 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.493 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.493 * [taylor]: Taking taylor expansion of 1/3 in y 1.493 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.493 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.493 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.493 * [taylor]: Taking taylor expansion of y in y 1.575 * * * [progress]: simplifying candidates 1.576 * [simplify]: Simplifying using # : (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (+ 1/3 1/3) (+ 1 1) (* y y) (* (cbrt y) (cbrt y)) (+ 1 1) (+ (log (cbrt y)) (log (cbrt y))) (log (* (cbrt y) (cbrt y))) (exp (* (cbrt y) (cbrt y))) (* y y) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (cbrt (* (cbrt y) (cbrt y))) (* (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (sqrt (* (cbrt y) (cbrt y))) (sqrt (* (cbrt y) (cbrt y))) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y)) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* 1 1) (* (cbrt y) (cbrt y)) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (sqrt (cbrt y)) (cbrt (sqrt y))) (* (sqrt (cbrt y)) (cbrt (sqrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* 2 1/3) (* 2 1) (* (cbrt y) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt y) (cbrt (sqrt y))) (* (cbrt y) (cbrt 1)) (* (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (* (cbrt y) (sqrt (cbrt y))) (* (cbrt y) 1) (* (cbrt (cbrt y)) (cbrt y)) (* (cbrt (sqrt y)) (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt (cbrt y)) (cbrt y)) (* (sqrt (cbrt y)) (cbrt y)) (* (cbrt y) (cbrt y)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 2/3) (pow (/ 1 y) -2/3) (* (pow (cbrt -1) 2) (pow (pow y 2) 1/3)) 1.580 * * [simplify]: iteration 0 : 115 enodes (cost 288 ) 1.583 * * [simplify]: iteration 1 : 472 enodes (cost 261 ) 1.599 * * [simplify]: iteration 2 : 2959 enodes (cost 238 ) 1.665 * * [simplify]: iteration 3 : 5003 enodes (cost 235 ) 1.667 * [simplify]: Simplified to: (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) 1 (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) 1 (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) 1 (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) 2/3 2 (pow y 2) (pow y 2/3) 2 (* 2/3 (log y)) (* 2/3 (log y)) (exp (pow y 2/3)) (pow y 2) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (cbrt (* (cbrt y) (cbrt y))) (pow y 2) (fabs (pow y 1/3)) (fabs (pow y 1/3)) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) 1 (pow y 2/3) (pow (cbrt (cbrt y)) 4) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (pow y 1/3) (pow y 1/3) 1 (pow y 2/3) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (pow y 1/3) (pow y 1/3) 2/3 2 (* (cbrt y) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt y) (cbrt (sqrt y))) (pow y 1/3) (pow (cbrt (cbrt y)) 5) (pow (sqrt (cbrt y)) 3) (pow y 1/3) (pow (cbrt (cbrt y)) 4) (* (cbrt y) (cbrt (sqrt y))) (pow y 2/3) (pow (cbrt (cbrt y)) 4) (pow (sqrt (cbrt y)) 3) (pow y 2/3) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 2/3) (pow (/ 1 y) -2/3) (* (pow (cbrt -1) 2) (pow (pow y 2) 1/3)) 1.667 * * * [progress]: adding candidates to table 1.878 * [progress]: [Phase 3 of 3] Extracting. 1.878 * * [regime]: Finding splitpoints for: (# # # # # #) 1.879 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (/ x (* y y)) (- (/ x (* y y)) 3.0) y x) 1.879 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 1.900 * * * * [regimes]: Trying to branch on (/ x (* y y)) from (# # # # # #) 1.917 * * * * [regimes]: Trying to branch on (- (/ x (* y y)) 3.0) from (# # # # # #) 1.934 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.955 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.974 * * * [regime]: Found split indices: #