5.861 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (/ x (* y y)) 0.021 * * [simplify]: iteration 0 : 6 enodes (cost 2 ) 0.022 * * [simplify]: iteration 1 : 6 enodes (cost 2 ) 0.022 * [simplify]: Simplified to: (/ x (* y y)) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.031 * * * [progress]: generating series expansions 0.031 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.031 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.031 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.031 * [taylor]: Taking taylor expansion of x in y 0.031 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.031 * [taylor]: Taking taylor expansion of y in y 0.031 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.031 * [taylor]: Taking taylor expansion of y in x 0.031 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.031 * [taylor]: Taking taylor expansion of y in x 0.032 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 0 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 0.041 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.041 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [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 0.042 * [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 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.046 * [taylor]: Taking taylor expansion of -1 in y 0.046 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.047 * [taylor]: Taking taylor expansion of -1 in x 0.047 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.047 * [taylor]: Taking taylor expansion of -1 in x 0.047 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.047 * [taylor]: Taking taylor expansion of -1 in y 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.055 * * * [progress]: simplifying candidates 0.055 * [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)) 0.058 * * [simplify]: iteration 0 : 101 enodes (cost 92 ) 0.060 * * [simplify]: iteration 1 : 322 enodes (cost 77 ) 0.065 * * [simplify]: iteration 2 : 957 enodes (cost 77 ) 0.083 * * [simplify]: iteration 3 : 4517 enodes (cost 77 ) 0.146 * * [simplify]: iteration 4 : 5002 enodes (cost 77 ) 0.146 * [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 (* 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)) 0.147 * * * [progress]: adding candidates to table 0.183 * * [progress]: iteration 2 / 4 0.183 * * * [progress]: picking best candidate 0.187 * * * * [pick]: Picked # 0.187 * * * [progress]: localizing error 0.190 * * * [progress]: generating rewritten candidates 0.190 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.199 * * * [progress]: generating series expansions 0.199 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.199 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.199 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.199 * [taylor]: Taking taylor expansion of x in y 0.199 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.199 * [taylor]: Taking taylor expansion of y in y 0.200 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.200 * [taylor]: Taking taylor expansion of y in x 0.200 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.200 * [taylor]: Taking taylor expansion of y in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.200 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.200 * [taylor]: Taking taylor expansion of y in y 0.201 * [taylor]: Taking taylor expansion of 0 in y 0.202 * [taylor]: Taking taylor expansion of 0 in y 0.204 * [taylor]: Taking taylor expansion of 0 in y 0.206 * [taylor]: Taking taylor expansion of 0 in y 0.207 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.207 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.207 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.207 * [taylor]: Taking taylor expansion of x in y 0.207 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.207 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.207 * [taylor]: Taking taylor expansion of y in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.207 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.207 * [taylor]: Taking taylor expansion of y in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.210 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.212 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.212 * [taylor]: Taking taylor expansion of -1 in y 0.212 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.212 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.212 * [taylor]: Taking taylor expansion of y in y 0.212 * [taylor]: Taking taylor expansion of x in y 0.212 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.212 * [taylor]: Taking taylor expansion of -1 in x 0.213 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.213 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.213 * [taylor]: Taking taylor expansion of y in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.213 * [taylor]: Taking taylor expansion of -1 in x 0.213 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.213 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.213 * [taylor]: Taking taylor expansion of y in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.213 * [taylor]: Taking taylor expansion of -1 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 0 in y 0.217 * [taylor]: Taking taylor expansion of 0 in y 0.220 * [taylor]: Taking taylor expansion of 0 in y 0.220 * * * [progress]: simplifying candidates 0.221 * [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)) 0.226 * * [simplify]: iteration 0 : 313 enodes (cost 455 ) 0.231 * * [simplify]: iteration 1 : 1182 enodes (cost 421 ) 0.250 * * [simplify]: iteration 2 : 5001 enodes (cost 412 ) 0.253 * [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 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) 0.253 * * * [progress]: adding candidates to table 0.367 * * [progress]: iteration 3 / 4 0.367 * * * [progress]: picking best candidate 0.375 * * * * [pick]: Picked # 0.375 * * * [progress]: localizing error 0.380 * * * [progress]: generating rewritten candidates 0.380 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.396 * * * [progress]: generating series expansions 0.396 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.396 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.396 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.396 * [taylor]: Taking taylor expansion of x in y 0.396 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.396 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.396 * [taylor]: Taking taylor expansion of y in x 0.397 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.397 * [taylor]: Taking taylor expansion of y in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.397 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of 0 in y 0.399 * [taylor]: Taking taylor expansion of 0 in y 0.401 * [taylor]: Taking taylor expansion of 0 in y 0.403 * [taylor]: Taking taylor expansion of 0 in y 0.403 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.403 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.403 * [taylor]: Taking taylor expansion of y in y 0.403 * [taylor]: Taking taylor expansion of x in y 0.404 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.404 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.404 * [taylor]: Taking taylor expansion of y in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.404 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.404 * [taylor]: Taking taylor expansion of y in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.404 * [taylor]: Taking taylor expansion of y in y 0.405 * [taylor]: Taking taylor expansion of 0 in y 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.408 * [taylor]: Taking taylor expansion of 0 in y 0.409 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.409 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.409 * [taylor]: Taking taylor expansion of -1 in y 0.409 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.409 * [taylor]: Taking taylor expansion of y in y 0.409 * [taylor]: Taking taylor expansion of x in y 0.409 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.409 * [taylor]: Taking taylor expansion of -1 in x 0.409 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.409 * [taylor]: Taking taylor expansion of y in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.409 * [taylor]: Taking taylor expansion of -1 in x 0.409 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.409 * [taylor]: Taking taylor expansion of y in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.410 * [taylor]: Taking taylor expansion of -1 in y 0.410 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.410 * [taylor]: Taking taylor expansion of y in y 0.411 * [taylor]: Taking taylor expansion of 0 in y 0.414 * [taylor]: Taking taylor expansion of 0 in y 0.417 * [taylor]: Taking taylor expansion of 0 in y 0.417 * * * [progress]: simplifying candidates 0.418 * [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)) 0.422 * * [simplify]: iteration 0 : 329 enodes (cost 308 ) 0.428 * * [simplify]: iteration 1 : 1580 enodes (cost 261 ) 0.456 * * [simplify]: iteration 2 : 5002 enodes (cost 227 ) 0.457 * [simplify]: Simplified to: (expm1 (* (/ x y) (/ 1 y))) (log1p (* (/ x y) (/ 1 y))) (/ (/ 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) 0.458 * * * [progress]: adding candidates to table 0.545 * * [progress]: iteration 4 / 4 0.545 * * * [progress]: picking best candidate 0.549 * * * * [pick]: Picked # 0.549 * * * [progress]: localizing error 0.557 * * * [progress]: generating rewritten candidates 0.557 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.558 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 0.560 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 0.561 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.588 * * * [progress]: generating series expansions 0.588 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.588 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 0.588 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.588 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.588 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.588 * [taylor]: Taking taylor expansion of 1/3 in y 0.588 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.588 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.588 * [taylor]: Taking taylor expansion of y in y 0.589 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.589 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.589 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.589 * [taylor]: Taking taylor expansion of 1/3 in y 0.589 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.589 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.589 * [taylor]: Taking taylor expansion of y in y 0.640 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 0.640 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.640 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.640 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.640 * [taylor]: Taking taylor expansion of 1/3 in y 0.640 * [taylor]: Taking taylor expansion of (log y) in y 0.640 * [taylor]: Taking taylor expansion of y in y 0.641 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.641 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.641 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.641 * [taylor]: Taking taylor expansion of 1/3 in y 0.641 * [taylor]: Taking taylor expansion of (log y) in y 0.641 * [taylor]: Taking taylor expansion of y in y 0.692 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow y 1/3)) in (y) around 0 0.692 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow y 1/3)) in y 0.692 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.692 * [taylor]: Taking taylor expansion of -1 in y 0.692 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.692 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.692 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.692 * [taylor]: Taking taylor expansion of 1/3 in y 0.692 * [taylor]: Taking taylor expansion of (log y) in y 0.692 * [taylor]: Taking taylor expansion of y in y 0.693 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow y 1/3)) in y 0.693 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.693 * [taylor]: Taking taylor expansion of -1 in y 0.694 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.694 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.694 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.694 * [taylor]: Taking taylor expansion of 1/3 in y 0.694 * [taylor]: Taking taylor expansion of (log y) in y 0.694 * [taylor]: Taking taylor expansion of y in y 0.754 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 0.754 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 0.754 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.754 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.754 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.754 * [taylor]: Taking taylor expansion of 1/3 in y 0.754 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.754 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.754 * [taylor]: Taking taylor expansion of y in y 0.755 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.755 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.755 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.755 * [taylor]: Taking taylor expansion of 1/3 in y 0.755 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.755 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.755 * [taylor]: Taking taylor expansion of y in y 0.808 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 0.808 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.808 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.808 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.808 * [taylor]: Taking taylor expansion of 1/3 in y 0.808 * [taylor]: Taking taylor expansion of (log y) in y 0.809 * [taylor]: Taking taylor expansion of y in y 0.809 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.809 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.809 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.809 * [taylor]: Taking taylor expansion of 1/3 in y 0.809 * [taylor]: Taking taylor expansion of (log y) in y 0.809 * [taylor]: Taking taylor expansion of y in y 0.857 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow y 1/3)) in (y) around 0 0.857 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow y 1/3)) in y 0.857 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.857 * [taylor]: Taking taylor expansion of -1 in y 0.858 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.858 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.858 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.858 * [taylor]: Taking taylor expansion of 1/3 in y 0.858 * [taylor]: Taking taylor expansion of (log y) in y 0.858 * [taylor]: Taking taylor expansion of y in y 0.858 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow y 1/3)) in y 0.859 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.859 * [taylor]: Taking taylor expansion of -1 in y 0.859 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.859 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.859 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.859 * [taylor]: Taking taylor expansion of 1/3 in y 0.859 * [taylor]: Taking taylor expansion of (log y) in y 0.859 * [taylor]: Taking taylor expansion of y in y 0.921 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 0.921 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 0.921 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.921 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.921 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.921 * [taylor]: Taking taylor expansion of 1/3 in y 0.921 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.921 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.921 * [taylor]: Taking taylor expansion of y in y 0.922 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.922 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.922 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.922 * [taylor]: Taking taylor expansion of 1/3 in y 0.922 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.922 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.922 * [taylor]: Taking taylor expansion of y in y 0.976 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 0.976 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.976 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.976 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.976 * [taylor]: Taking taylor expansion of 1/3 in y 0.976 * [taylor]: Taking taylor expansion of (log y) in y 0.976 * [taylor]: Taking taylor expansion of y in y 0.977 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.977 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.977 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.977 * [taylor]: Taking taylor expansion of 1/3 in y 0.977 * [taylor]: Taking taylor expansion of (log y) in y 0.977 * [taylor]: Taking taylor expansion of y in y 1.028 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow y 1/3)) in (y) around 0 1.028 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow y 1/3)) in y 1.028 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.028 * [taylor]: Taking taylor expansion of -1 in y 1.029 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.029 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.029 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.029 * [taylor]: Taking taylor expansion of 1/3 in y 1.029 * [taylor]: Taking taylor expansion of (log y) in y 1.029 * [taylor]: Taking taylor expansion of y in y 1.030 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow y 1/3)) in y 1.030 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.030 * [taylor]: Taking taylor expansion of -1 in y 1.031 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.031 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.031 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.031 * [taylor]: Taking taylor expansion of 1/3 in y 1.031 * [taylor]: Taking taylor expansion of (log y) in y 1.031 * [taylor]: Taking taylor expansion of y in y 1.093 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.093 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in (y) around 0 1.093 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.093 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.093 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.093 * [taylor]: Taking taylor expansion of 1/3 in y 1.093 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.093 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.093 * [taylor]: Taking taylor expansion of y in y 1.094 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.094 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.094 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.094 * [taylor]: Taking taylor expansion of 1/3 in y 1.094 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.094 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.094 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.094 * [taylor]: Taking taylor expansion of y in y 1.148 * [approximate]: Taking taylor expansion of (pow (pow y 2) 1/3) in (y) around 0 1.148 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.148 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.148 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.148 * [taylor]: Taking taylor expansion of 1/3 in y 1.148 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.148 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.148 * [taylor]: Taking taylor expansion of y in y 1.149 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.149 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.149 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.149 * [taylor]: Taking taylor expansion of 1/3 in y 1.149 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.149 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.149 * [taylor]: Taking taylor expansion of y in y 1.205 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (pow y 2) 1/3)) in (y) around 0 1.205 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (pow y 2) 1/3)) in y 1.205 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 1.205 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.205 * [taylor]: Taking taylor expansion of -1 in y 1.206 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.206 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.206 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.206 * [taylor]: Taking taylor expansion of 1/3 in y 1.206 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.206 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.206 * [taylor]: Taking taylor expansion of y in y 1.207 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (pow y 2) 1/3)) in y 1.207 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 1.207 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.207 * [taylor]: Taking taylor expansion of -1 in y 1.208 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.208 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.208 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.208 * [taylor]: Taking taylor expansion of 1/3 in y 1.208 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.208 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.208 * [taylor]: Taking taylor expansion of y in y 1.285 * * * [progress]: simplifying candidates 1.288 * [simplify]: Simplifying using # : (expm1 (cbrt (/ 1 y))) (log1p (cbrt (/ 1 y))) (log (cbrt (/ 1 y))) (exp (cbrt (/ 1 y))) (cbrt (* (cbrt (/ 1 y)) (cbrt (/ 1 y)))) (cbrt (cbrt (/ 1 y))) (cbrt (sqrt (/ 1 y))) (cbrt (sqrt (/ 1 y))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y)))) (cbrt (/ (cbrt 1) (cbrt y))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (sqrt y))) (cbrt (/ (cbrt 1) (sqrt y))) (cbrt (/ (* (cbrt 1) (cbrt 1)) 1)) (cbrt (/ (cbrt 1) y)) (cbrt (/ (sqrt 1) (* (cbrt y) (cbrt y)))) (cbrt (/ (sqrt 1) (cbrt y))) (cbrt (/ (sqrt 1) (sqrt y))) (cbrt (/ (sqrt 1) (sqrt y))) (cbrt (/ (sqrt 1) 1)) (cbrt (/ (sqrt 1) y)) (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (cbrt (/ 1 (cbrt y))) (cbrt (/ 1 (sqrt y))) (cbrt (/ 1 (sqrt y))) (cbrt (/ 1 1)) (cbrt (/ 1 y)) (cbrt 1) (cbrt (/ 1 y)) (cbrt 1) (cbrt (/ 1 y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt (/ 1 y))) (cbrt (cbrt (/ 1 y)))) (cbrt (cbrt (/ 1 y))) (* (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y))) (sqrt (cbrt (/ 1 y))) (sqrt (cbrt (/ 1 y))) (expm1 (cbrt (/ 1 y))) (log1p (cbrt (/ 1 y))) (log (cbrt (/ 1 y))) (exp (cbrt (/ 1 y))) (cbrt (* (cbrt (/ 1 y)) (cbrt (/ 1 y)))) (cbrt (cbrt (/ 1 y))) (cbrt (sqrt (/ 1 y))) (cbrt (sqrt (/ 1 y))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 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(cbrt y))))) (* (cbrt (/ 1 y)) (cbrt (/ (* (cbrt 1) (cbrt 1)) (sqrt y)))) (* (cbrt (/ 1 y)) (cbrt (/ (* (cbrt 1) (cbrt 1)) 1))) (* (cbrt (/ 1 y)) (cbrt (/ (sqrt 1) (* (cbrt y) (cbrt y))))) (* (cbrt (/ 1 y)) (cbrt (/ (sqrt 1) (sqrt y)))) (* (cbrt (/ 1 y)) (cbrt (/ (sqrt 1) 1))) (* (cbrt (/ 1 y)) (cbrt (/ 1 (* (cbrt y) (cbrt y))))) (* (cbrt (/ 1 y)) (cbrt (/ 1 (sqrt y)))) (* (cbrt (/ 1 y)) (cbrt (/ 1 1))) (* (cbrt (/ 1 y)) (cbrt 1)) (* (cbrt (/ 1 y)) (cbrt 1)) (* (cbrt (/ 1 y)) (* (cbrt (cbrt (/ 1 y))) (cbrt (cbrt (/ 1 y))))) (* (cbrt (/ 1 y)) (sqrt (cbrt (/ 1 y)))) (* (cbrt (/ 1 y)) 1) (* (cbrt (cbrt (/ 1 y))) (cbrt (/ 1 y))) (* (cbrt (sqrt (/ 1 y))) (cbrt (/ 1 y))) (* (cbrt (/ (cbrt 1) (cbrt y))) (cbrt (/ 1 y))) (* (cbrt (/ (cbrt 1) (sqrt y))) (cbrt (/ 1 y))) (* (cbrt (/ (cbrt 1) y)) (cbrt (/ 1 y))) (* (cbrt (/ (sqrt 1) (cbrt y))) (cbrt (/ 1 y))) (* (cbrt (/ (sqrt 1) (sqrt y))) (cbrt (/ 1 y))) (* (cbrt (/ (sqrt 1) y)) (cbrt (/ 1 y))) (* (cbrt (/ 1 (cbrt y))) (cbrt (/ 1 y))) (* (cbrt (/ 1 (sqrt y))) (cbrt (/ 1 y))) (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (* (cbrt (cbrt (/ 1 y))) (cbrt (/ 1 y))) (* (sqrt (cbrt (/ 1 y))) (cbrt (/ 1 y))) (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (* (cbrt (/ 1 y)) (cbrt 1)) (* (cbrt 1) (cbrt (/ 1 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 (/ 1 (pow y 2)) 1/3)) 1.295 * * [simplify]: iteration 0 : 223 enodes (cost 1172 ) 1.300 * * [simplify]: iteration 1 : 902 enodes (cost 1064 ) 1.324 * * [simplify]: iteration 2 : 5001 enodes (cost 904 ) 1.328 * [simplify]: Simplified to: (expm1 (cbrt (/ 1 y))) (log1p (cbrt (/ 1 y))) (log (cbrt (/ 1 y))) (exp (cbrt (/ 1 y))) (cbrt (* (cbrt (/ 1 y)) (cbrt (/ 1 y)))) (cbrt (cbrt (/ 1 y))) (cbrt (sqrt (/ 1 y))) (cbrt (sqrt (/ 1 y))) (cbrt (/ 1 (* 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(* (cbrt (sqrt (/ 1 y))) (cbrt (/ 1 (sqrt y)))) (* (cbrt (/ 1 (sqrt y))) (cbrt (/ 1 (sqrt y)))) (* (cbrt (/ 1 (sqrt y))) (cbrt (/ 1 (sqrt y)))) (* (cbrt (/ 1 (sqrt y))) (cbrt (/ 1 (sqrt y)))) (* (cbrt (/ 1 (sqrt y))) (cbrt (/ 1 (sqrt y)))) (* (cbrt (/ 1 (sqrt y))) (sqrt (cbrt (/ 1 y)))) (* (cbrt (/ 1 (sqrt y))) (sqrt (cbrt (/ 1 y)))) (* (cbrt (sqrt (/ 1 y))) (cbrt (/ 1 (sqrt y)))) (* (cbrt (sqrt (/ 1 y))) (cbrt (/ 1 (sqrt y)))) (* (cbrt (/ 1 (sqrt y))) (cbrt (/ 1 (sqrt y)))) (* (cbrt (/ 1 (sqrt y))) (cbrt (/ 1 (sqrt y)))) (* (cbrt (/ 1 (sqrt y))) (cbrt (/ 1 (sqrt y)))) (* (cbrt (/ 1 (sqrt y))) (cbrt (/ 1 (sqrt y)))) (* (cbrt (/ 1 (sqrt y))) (sqrt (cbrt (/ 1 y)))) (* (cbrt (/ 1 (sqrt y))) (sqrt (cbrt (/ 1 y)))) (* (cbrt (sqrt (/ 1 y))) (sqrt (cbrt (/ 1 y)))) (* (cbrt (sqrt (/ 1 y))) (sqrt (cbrt (/ 1 y)))) (* (cbrt (/ 1 (sqrt y))) (sqrt (cbrt (/ 1 y)))) (* (cbrt (/ 1 (sqrt y))) (sqrt (cbrt (/ 1 y)))) (* (cbrt (/ 1 (sqrt y))) (sqrt (cbrt (/ 1 y)))) (* (cbrt (/ 1 (sqrt y))) (sqrt (cbrt (/ 1 y)))) (pow (/ 1 y) 1/3) (pow (/ 1 y) 1/3) 2/3 2 (* (cbrt (/ 1 y)) (cbrt (* (cbrt (/ 1 y)) (cbrt (/ 1 y))))) (* (cbrt (/ 1 y)) (cbrt (sqrt (/ 1 y)))) (* (cbrt (/ 1 y)) (cbrt (/ 1 (* (cbrt y) (cbrt y))))) (* (cbrt (/ 1 y)) (cbrt (/ 1 (sqrt y)))) (pow (/ 1 y) 1/3) (* (cbrt (/ 1 y)) (cbrt (/ 1 (* (cbrt y) (cbrt y))))) (* (cbrt (/ 1 y)) (cbrt (/ 1 (sqrt y)))) (pow (/ 1 y) 1/3) (* (cbrt (/ 1 y)) (cbrt (/ 1 (* (cbrt y) (cbrt y))))) (* (cbrt (/ 1 y)) (cbrt (/ 1 (sqrt y)))) (pow (/ 1 y) 1/3) (pow (/ 1 y) 1/3) (pow (/ 1 y) 1/3) (* (pow (cbrt (cbrt (/ 1 y))) 4) (cbrt (cbrt (/ 1 y)))) (pow (sqrt (cbrt (/ 1 y))) 3) (pow (/ 1 y) 1/3) (pow (cbrt (cbrt (/ 1 y))) 4) (* (cbrt (/ 1 y)) (cbrt (sqrt (/ 1 y)))) (* (cbrt (/ 1 (cbrt y))) (cbrt (/ 1 y))) (* (cbrt (/ 1 y)) (cbrt (/ 1 (sqrt y)))) (pow (/ 1 y) 2/3) (* (cbrt (/ 1 (cbrt y))) (cbrt (/ 1 y))) (* (cbrt (/ 1 y)) (cbrt (/ 1 (sqrt y)))) (pow (/ 1 y) 2/3) (* (cbrt (/ 1 (cbrt y))) (cbrt (/ 1 y))) (* (cbrt (/ 1 y)) (cbrt (/ 1 (sqrt y)))) (pow (/ 1 y) 2/3) (pow (/ 1 y) 2/3) (pow (/ 1 y) 2/3) (pow (cbrt (cbrt (/ 1 y))) 4) (pow (sqrt (cbrt (/ 1 y))) 3) (pow (/ 1 y) 2/3) (pow (/ 1 y) 1/3) (pow (/ 1 y) 1/3) (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 (/ 1 (pow y 2)) 1/3)) 1.329 * * * [progress]: adding candidates to table 1.648 * [progress]: [Phase 3 of 3] Extracting. 1.648 * * [regime]: Finding splitpoints for: (# # # # # #) 1.648 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (/ x (* y y)) y x) 1.648 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 1.663 * * * * [regimes]: Trying to branch on (/ x (* y y)) from (# # # # # #) 1.681 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.697 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.715 * * * [regime]: Found split indices: #