12.341 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (- (/ x (* y y)) 3.0) 0.018 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.019 * * [simplify]: iteration 1 : 11 enodes (cost 3 ) 0.020 * * [simplify]: iteration 2 : 11 enodes (cost 3 ) 0.020 * [simplify]: Simplified to: (- (/ x (* y y)) 3.0) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.026 * * * [progress]: generating rewritten candidates 0.026 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.032 * * * [progress]: generating series expansions 0.032 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.032 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.032 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.032 * [taylor]: Taking taylor expansion of x in y 0.032 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.032 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.032 * [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 0.033 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.034 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [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 0.040 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.040 * [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 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.045 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.045 * [taylor]: Taking taylor expansion of -1 in y 0.045 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.046 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.046 * [taylor]: Taking taylor expansion of -1 in x 0.046 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.046 * [taylor]: Taking taylor expansion of -1 in x 0.046 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.046 * [taylor]: Taking taylor expansion of -1 in y 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.054 * * * [progress]: simplifying candidates 0.054 * [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)) 0.057 * * [simplify]: iteration 0 : 101 enodes (cost 92 ) 0.060 * * [simplify]: iteration 1 : 322 enodes (cost 77 ) 0.064 * * [simplify]: iteration 2 : 957 enodes (cost 77 ) 0.083 * * [simplify]: iteration 3 : 4517 enodes (cost 77 ) 0.147 * * [simplify]: iteration 4 : 5002 enodes (cost 77 ) 0.147 * [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)) 0.148 * * * [progress]: adding candidates to table 0.190 * * [progress]: iteration 2 / 4 0.190 * * * [progress]: picking best candidate 0.194 * * * * [pick]: Picked # 0.194 * * * [progress]: localizing error 0.198 * * * [progress]: generating rewritten candidates 0.198 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.210 * * * [progress]: generating series expansions 0.210 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.210 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.210 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.210 * [taylor]: Taking taylor expansion of x in y 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.210 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.211 * [taylor]: Taking taylor expansion of y in x 0.211 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.211 * [taylor]: Taking taylor expansion of y in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.211 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.213 * [taylor]: Taking taylor expansion of 0 in y 0.215 * [taylor]: Taking taylor expansion of 0 in y 0.217 * [taylor]: Taking taylor expansion of 0 in y 0.217 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.217 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.217 * [taylor]: Taking taylor expansion of x in y 0.218 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.218 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.218 * [taylor]: Taking taylor expansion of y in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.218 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.218 * [taylor]: Taking taylor expansion of y in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.219 * [taylor]: Taking taylor expansion of 0 in y 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.223 * [taylor]: Taking taylor expansion of 0 in y 0.223 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.223 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.223 * [taylor]: Taking taylor expansion of -1 in y 0.223 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.223 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.223 * [taylor]: Taking taylor expansion of x in y 0.224 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.224 * [taylor]: Taking taylor expansion of -1 in x 0.224 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.224 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.224 * [taylor]: Taking taylor expansion of -1 in x 0.224 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.224 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.224 * [taylor]: Taking taylor expansion of -1 in y 0.224 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.224 * [taylor]: Taking taylor expansion of y in y 0.226 * [taylor]: Taking taylor expansion of 0 in y 0.228 * [taylor]: Taking taylor expansion of 0 in y 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.232 * * * [progress]: simplifying candidates 0.233 * [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)) 0.238 * * [simplify]: iteration 0 : 313 enodes (cost 455 ) 0.243 * * [simplify]: iteration 1 : 1182 enodes (cost 421 ) 0.263 * * [simplify]: iteration 2 : 5001 enodes (cost 412 ) 0.265 * [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) 0.266 * * * [progress]: adding candidates to table 0.396 * * [progress]: iteration 3 / 4 0.396 * * * [progress]: picking best candidate 0.400 * * * * [pick]: Picked # 0.400 * * * [progress]: localizing error 0.406 * * * [progress]: generating rewritten candidates 0.406 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.419 * * * [progress]: generating series expansions 0.419 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.419 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.419 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.419 * [taylor]: Taking taylor expansion of x in y 0.419 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.420 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.420 * [taylor]: Taking taylor expansion of y in x 0.420 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.420 * [taylor]: Taking taylor expansion of y in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.420 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.420 * [taylor]: Taking taylor expansion of y in y 0.421 * [taylor]: Taking taylor expansion of 0 in y 0.422 * [taylor]: Taking taylor expansion of 0 in y 0.424 * [taylor]: Taking taylor expansion of 0 in y 0.426 * [taylor]: Taking taylor expansion of 0 in y 0.427 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.427 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.427 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.427 * [taylor]: Taking taylor expansion of y in y 0.427 * [taylor]: Taking taylor expansion of x in y 0.427 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.427 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.427 * [taylor]: Taking taylor expansion of y in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.427 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.427 * [taylor]: Taking taylor expansion of y in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.427 * [taylor]: Taking taylor expansion of y in y 0.428 * [taylor]: Taking taylor expansion of 0 in y 0.430 * [taylor]: Taking taylor expansion of 0 in y 0.432 * [taylor]: Taking taylor expansion of 0 in y 0.432 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.432 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.432 * [taylor]: Taking taylor expansion of -1 in y 0.432 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.432 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.432 * [taylor]: Taking taylor expansion of y in y 0.432 * [taylor]: Taking taylor expansion of x in y 0.433 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.433 * [taylor]: Taking taylor expansion of -1 in x 0.433 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.433 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.433 * [taylor]: Taking taylor expansion of y in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.433 * [taylor]: Taking taylor expansion of -1 in x 0.433 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.433 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.433 * [taylor]: Taking taylor expansion of y in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.433 * [taylor]: Taking taylor expansion of -1 in y 0.433 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.433 * [taylor]: Taking taylor expansion of y in y 0.435 * [taylor]: Taking taylor expansion of 0 in y 0.437 * [taylor]: Taking taylor expansion of 0 in y 0.441 * [taylor]: Taking taylor expansion of 0 in y 0.441 * * * [progress]: simplifying candidates 0.441 * [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)) 0.446 * * [simplify]: iteration 0 : 329 enodes (cost 308 ) 0.452 * * [simplify]: iteration 1 : 1580 enodes (cost 261 ) 0.482 * * [simplify]: iteration 2 : 5002 enodes (cost 227 ) 0.484 * [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) 0.484 * * * [progress]: adding candidates to table 0.585 * * [progress]: iteration 4 / 4 0.585 * * * [progress]: picking best candidate 0.588 * * * * [pick]: Picked # 0.588 * * * [progress]: localizing error 0.598 * * * [progress]: generating rewritten candidates 0.598 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 2) 0.599 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2) 0.603 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 0.604 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 0.611 * * * [progress]: generating series expansions 0.611 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 2) 0.612 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 0.612 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.612 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.612 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.612 * [taylor]: Taking taylor expansion of 1/3 in y 0.612 * [taylor]: Taking taylor expansion of (log y) in y 0.612 * [taylor]: Taking taylor expansion of y in y 0.612 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.613 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.613 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.613 * [taylor]: Taking taylor expansion of 1/3 in y 0.613 * [taylor]: Taking taylor expansion of (log y) in y 0.613 * [taylor]: Taking taylor expansion of y in y 0.661 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 0.661 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.661 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.661 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.661 * [taylor]: Taking taylor expansion of 1/3 in y 0.661 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.661 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.661 * [taylor]: Taking taylor expansion of y in y 0.662 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.662 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.662 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.662 * [taylor]: Taking taylor expansion of 1/3 in y 0.662 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.662 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.662 * [taylor]: Taking taylor expansion of y in y 0.716 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 0.717 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.717 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.717 * [taylor]: Taking taylor expansion of -1 in y 0.717 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.717 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.717 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.717 * [taylor]: Taking taylor expansion of 1/3 in y 0.717 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.717 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.717 * [taylor]: Taking taylor expansion of y in y 0.718 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.718 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.718 * [taylor]: Taking taylor expansion of -1 in y 0.719 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.719 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.719 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.719 * [taylor]: Taking taylor expansion of 1/3 in y 0.719 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.719 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.719 * [taylor]: Taking taylor expansion of y in y 0.785 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2) 0.785 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 0.785 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.785 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.785 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.785 * [taylor]: Taking taylor expansion of 1/3 in y 0.785 * [taylor]: Taking taylor expansion of (log y) in y 0.785 * [taylor]: Taking taylor expansion of y in y 0.785 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.785 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.785 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.785 * [taylor]: Taking taylor expansion of 1/3 in y 0.785 * [taylor]: Taking taylor expansion of (log y) in y 0.785 * [taylor]: Taking taylor expansion of y in y 0.837 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 0.837 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.837 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.837 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.837 * [taylor]: Taking taylor expansion of 1/3 in y 0.837 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.837 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.837 * [taylor]: Taking taylor expansion of y in y 0.838 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.838 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.838 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.838 * [taylor]: Taking taylor expansion of 1/3 in y 0.838 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.838 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.838 * [taylor]: Taking taylor expansion of y in y 0.889 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 0.889 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.889 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.889 * [taylor]: Taking taylor expansion of -1 in y 0.890 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.890 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.890 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.890 * [taylor]: Taking taylor expansion of 1/3 in y 0.890 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.890 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.890 * [taylor]: Taking taylor expansion of y in y 0.891 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.891 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.891 * [taylor]: Taking taylor expansion of -1 in y 0.891 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.891 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.892 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.892 * [taylor]: Taking taylor expansion of 1/3 in y 0.892 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.892 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.892 * [taylor]: Taking taylor expansion of y in y 0.957 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 0.957 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 0.957 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.957 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.957 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.957 * [taylor]: Taking taylor expansion of 1/3 in y 0.957 * [taylor]: Taking taylor expansion of (log y) in y 0.957 * [taylor]: Taking taylor expansion of y in y 0.958 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.958 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.958 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.958 * [taylor]: Taking taylor expansion of 1/3 in y 0.958 * [taylor]: Taking taylor expansion of (log y) in y 0.958 * [taylor]: Taking taylor expansion of y in y 1.009 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 1.009 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.009 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.009 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.009 * [taylor]: Taking taylor expansion of 1/3 in y 1.009 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.009 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.009 * [taylor]: Taking taylor expansion of y in y 1.010 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.010 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.010 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.010 * [taylor]: Taking taylor expansion of 1/3 in y 1.010 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.010 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.010 * [taylor]: Taking taylor expansion of y in y 1.065 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.065 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.065 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.065 * [taylor]: Taking taylor expansion of -1 in y 1.066 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.066 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.066 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.066 * [taylor]: Taking taylor expansion of 1/3 in y 1.066 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.066 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.066 * [taylor]: Taking taylor expansion of y in y 1.067 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.067 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.067 * [taylor]: Taking taylor expansion of -1 in y 1.068 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.068 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.068 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.068 * [taylor]: Taking taylor expansion of 1/3 in y 1.068 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.068 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.068 * [taylor]: Taking taylor expansion of y in y 1.133 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 1.134 * [approximate]: Taking taylor expansion of (pow (pow y 2) 1/3) in (y) around 0 1.134 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.134 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.134 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.134 * [taylor]: Taking taylor expansion of 1/3 in y 1.134 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.134 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.134 * [taylor]: Taking taylor expansion of y in y 1.135 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.135 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.135 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.135 * [taylor]: Taking taylor expansion of 1/3 in y 1.135 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.135 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.135 * [taylor]: Taking taylor expansion of y in y 1.188 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in (y) around 0 1.188 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.188 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.188 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.188 * [taylor]: Taking taylor expansion of 1/3 in y 1.188 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.188 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.188 * [taylor]: Taking taylor expansion of y in y 1.189 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.189 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.189 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.189 * [taylor]: Taking taylor expansion of 1/3 in y 1.189 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.189 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.189 * [taylor]: Taking taylor expansion of y in y 1.247 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in (y) around 0 1.247 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in y 1.247 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 1.247 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.247 * [taylor]: Taking taylor expansion of -1 in y 1.248 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.248 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.248 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.248 * [taylor]: Taking taylor expansion of 1/3 in y 1.248 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.248 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.248 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.248 * [taylor]: Taking taylor expansion of y in y 1.249 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in y 1.249 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 1.249 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.249 * [taylor]: Taking taylor expansion of -1 in y 1.250 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.250 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.250 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.250 * [taylor]: Taking taylor expansion of 1/3 in y 1.250 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.250 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.250 * [taylor]: Taking taylor expansion of y in y 1.325 * * * [progress]: simplifying candidates 1.327 * [simplify]: Simplifying using # : (expm1 (cbrt y)) (log1p (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)) (expm1 (cbrt y)) (log1p (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)) (expm1 (cbrt y)) (log1p (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)) (expm1 (* (cbrt y) (cbrt y))) (log1p (* (cbrt y) (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)) 1.330 * * [simplify]: iteration 0 : 119 enodes (cost 308 ) 1.333 * * [simplify]: iteration 1 : 477 enodes (cost 281 ) 1.348 * * [simplify]: iteration 2 : 2972 enodes (cost 258 ) 1.413 * * [simplify]: iteration 3 : 5001 enodes (cost 255 ) 1.415 * [simplify]: Simplified to: (expm1 (cbrt y)) (log1p (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)) (expm1 (cbrt y)) (log1p (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)) (expm1 (cbrt y)) (log1p (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)) (expm1 (* (cbrt y) (cbrt y))) (log1p (* (cbrt y) (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)) 1.415 * * * [progress]: adding candidates to table 1.644 * [progress]: [Phase 3 of 3] Extracting. 1.644 * * [regime]: Finding splitpoints for: (# # # # #) 1.645 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (/ x (* y y)) (- (/ x (* y y)) 3.0) y x) 1.645 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 1.663 * * * * [regimes]: Trying to branch on (* y y) from (# #) 1.673 * * * * [regimes]: Trying to branch on (/ x (* y y)) from (# # # # #) 1.690 * * * * [regimes]: Trying to branch on (- (/ x (* y y)) 3.0) from (# # # # #) 1.704 * * * * [regimes]: Trying to branch on y from (# # # # #) 1.720 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.738 * * * [regime]: Found split indices: #