8.688 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (- (/ x (* y y)) 3.0) 0.019 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.020 * * [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) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.032 * * * [progress]: generating series expansions 0.032 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.032 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.032 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.032 * [taylor]: Taking taylor expansion of x in y 0.032 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.033 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [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 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [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 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.047 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.047 * [taylor]: Taking taylor expansion of -1 in y 0.047 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.048 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.048 * [taylor]: Taking taylor expansion of -1 in x 0.048 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.048 * [taylor]: Taking taylor expansion of -1 in x 0.048 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.048 * [taylor]: Taking taylor expansion of -1 in y 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.056 * * * [progress]: simplifying candidates 0.057 * [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)) 0.060 * * [simplify]: iteration 0 : 101 enodes (cost 92 ) 0.063 * * [simplify]: iteration 1 : 322 enodes (cost 77 ) 0.067 * * [simplify]: iteration 2 : 957 enodes (cost 77 ) 0.086 * * [simplify]: iteration 3 : 4517 enodes (cost 77 ) 0.150 * * [simplify]: iteration 4 : 5002 enodes (cost 77 ) 0.151 * [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)) 0.151 * * * [progress]: adding candidates to table 0.195 * * [progress]: iteration 2 / 4 0.195 * * * [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 0.214 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.214 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.214 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.214 * [taylor]: Taking taylor expansion of x in y 0.214 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.214 * [taylor]: Taking taylor expansion of y in y 0.214 * [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 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.215 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.215 * [taylor]: Taking taylor expansion of 0 in y 0.220 * [taylor]: Taking taylor expansion of 0 in y 0.222 * [taylor]: Taking taylor expansion of 0 in y 0.224 * [taylor]: Taking taylor expansion of 0 in y 0.224 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.224 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.224 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.224 * [taylor]: Taking taylor expansion of y in y 0.224 * [taylor]: Taking taylor expansion of x in y 0.225 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.225 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.225 * [taylor]: Taking taylor expansion of y in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.225 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.225 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.225 * [taylor]: Taking taylor expansion of y in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.225 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.225 * [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 0.230 * [taylor]: Taking taylor expansion of 0 in y 0.230 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.230 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.230 * [taylor]: Taking taylor expansion of -1 in y 0.230 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.230 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.230 * [taylor]: Taking taylor expansion of y in y 0.230 * [taylor]: Taking taylor expansion of x in y 0.231 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.231 * [taylor]: Taking taylor expansion of -1 in x 0.231 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.231 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.231 * [taylor]: Taking taylor expansion of y in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.231 * [taylor]: Taking taylor expansion of -1 in x 0.231 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.231 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.231 * [taylor]: Taking taylor expansion of y in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.231 * [taylor]: Taking taylor expansion of -1 in y 0.231 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.231 * [taylor]: Taking taylor expansion of y in y 0.233 * [taylor]: Taking taylor expansion of 0 in y 0.236 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.240 * * * [progress]: simplifying candidates 0.241 * [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)) 0.246 * * [simplify]: iteration 0 : 313 enodes (cost 455 ) 0.252 * * [simplify]: iteration 1 : 1182 enodes (cost 421 ) 0.274 * * [simplify]: iteration 2 : 5001 enodes (cost 412 ) 0.277 * [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) 0.277 * * * [progress]: adding candidates to table 0.411 * * [progress]: iteration 3 / 4 0.411 * * * [progress]: picking best candidate 0.420 * * * * [pick]: Picked # 0.420 * * * [progress]: localizing error 0.426 * * * [progress]: generating rewritten candidates 0.426 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.443 * * * [progress]: generating series expansions 0.443 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.443 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 0.443 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.443 * [taylor]: Taking taylor expansion of y in x 0.443 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.443 * [taylor]: Taking taylor expansion of x in y 0.444 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.444 * [taylor]: Taking taylor expansion of y in y 0.444 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.444 * [taylor]: Taking taylor expansion of x in y 0.444 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.444 * [taylor]: Taking taylor expansion of y in y 0.444 * [taylor]: Taking taylor expansion of x in x 0.445 * [taylor]: Taking taylor expansion of 0 in x 0.447 * [taylor]: Taking taylor expansion of 0 in x 0.448 * [taylor]: Taking taylor expansion of 0 in x 0.449 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 0.449 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.449 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.449 * [taylor]: Taking taylor expansion of y in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.449 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.449 * [taylor]: Taking taylor expansion of y in y 0.449 * [taylor]: Taking taylor expansion of x in y 0.449 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.449 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.449 * [taylor]: Taking taylor expansion of y in y 0.449 * [taylor]: Taking taylor expansion of x in y 0.450 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of 0 in x 0.452 * [taylor]: Taking taylor expansion of 0 in x 0.453 * [taylor]: Taking taylor expansion of 0 in x 0.454 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (y x) around 0 0.454 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.454 * [taylor]: Taking taylor expansion of -1 in x 0.454 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.454 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.454 * [taylor]: Taking taylor expansion of y in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.454 * [taylor]: Taking taylor expansion of -1 in y 0.454 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.454 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.454 * [taylor]: Taking taylor expansion of y in y 0.454 * [taylor]: Taking taylor expansion of x in y 0.454 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.455 * [taylor]: Taking taylor expansion of -1 in y 0.455 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.455 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.455 * [taylor]: Taking taylor expansion of y in y 0.455 * [taylor]: Taking taylor expansion of x in y 0.455 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.455 * [taylor]: Taking taylor expansion of -1 in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of 0 in x 0.458 * [taylor]: Taking taylor expansion of 0 in x 0.460 * [taylor]: Taking taylor expansion of 0 in x 0.461 * * * [progress]: simplifying candidates 0.462 * [simplify]: Simplifying using # : (expm1 (* (/ 1 y) (/ x y))) (log1p (* (/ 1 y) (/ x y))) (* (/ 1 y) (/ x y)) (+ (- (log y)) (- (log x) (log y))) (+ (- (log y)) (log (/ x y))) (+ (- 0 (log y)) (- (log x) (log y))) (+ (- 0 (log y)) (log (/ x y))) (+ (- (log 1) (log y)) (- (log x) (log y))) (+ (- (log 1) (log y)) (log (/ x y))) (+ (log (/ 1 y)) (- (log x) (log y))) (+ (log (/ 1 y)) (log (/ x y))) (log (* (/ 1 y) (/ x y))) (exp (* (/ 1 y) (/ x y))) (* (/ (* (* 1 1) 1) (* (* y y) y)) (/ (* (* x x) x) (* (* y y) y))) (* (/ (* (* 1 1) 1) (* (* y y) y)) (* (* (/ x y) (/ x y)) (/ x y))) (* (* (* (/ 1 y) (/ 1 y)) (/ 1 y)) (/ (* (* x x) x) (* (* y y) y))) (* (* (* (/ 1 y) (/ 1 y)) (/ 1 y)) (* (* (/ x y) (/ x y)) (/ x y))) (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y)))) (cbrt (* (/ 1 y) (/ x y))) (* (* (* (/ 1 y) (/ x y)) (* (/ 1 y) (/ x y))) (* (/ 1 y) (/ x y))) (sqrt (* (/ 1 y) (/ x y))) (sqrt (* (/ 1 y) (/ x y))) (* 1 x) (* y y) (* (sqrt (/ 1 y)) (sqrt (/ x y))) (* (sqrt (/ 1 y)) (sqrt (/ x y))) (* (sqrt (/ 1 y)) (/ (sqrt x) (sqrt y))) (* (sqrt (/ 1 y)) (/ (sqrt x) (sqrt y))) (* (/ (sqrt 1) (sqrt y)) (sqrt (/ x y))) (* (/ (sqrt 1) (sqrt y)) (sqrt (/ x y))) (* (/ (sqrt 1) (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ (sqrt 1) (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ 1 (sqrt y)) (sqrt (/ x y))) (* (/ 1 (sqrt y)) (sqrt (/ x y))) (* (/ 1 (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ 1 (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ 1 y) (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (/ 1 y) (sqrt (/ x y))) (* (/ 1 y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* (/ 1 y) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* (/ 1 y) (/ (* (cbrt x) (cbrt x)) 1)) (* (/ 1 y) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* (/ 1 y) (/ (sqrt x) (sqrt y))) (* (/ 1 y) (/ (sqrt x) 1)) (* (/ 1 y) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ 1 y) (/ 1 (sqrt y))) (* (/ 1 y) (/ 1 1)) (* (/ 1 y) 1) (* (/ 1 y) x) (* (cbrt (/ 1 y)) (/ x y)) (* (sqrt (/ 1 y)) (/ x y)) (* (/ (cbrt 1) (cbrt y)) (/ x y)) (* (/ (cbrt 1) (sqrt y)) (/ x y)) (* (/ (cbrt 1) y) (/ x y)) (* (/ (sqrt 1) (cbrt y)) (/ x y)) (* (/ (sqrt 1) (sqrt y)) (/ x y)) (* (/ (sqrt 1) y) (/ x y)) (* (/ 1 (cbrt y)) (/ x y)) (* (/ 1 (sqrt y)) (/ x y)) (* (/ 1 y) (/ x y)) (* (/ 1 y) (/ x y)) (* (/ 1 y) (/ x y)) (* (/ 1 y) x) (* 1 (/ x y)) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 0.467 * * [simplify]: iteration 0 : 324 enodes (cost 305 ) 0.475 * * [simplify]: iteration 1 : 1606 enodes (cost 255 ) 0.505 * * [simplify]: iteration 2 : 5002 enodes (cost 219 ) 0.506 * [simplify]: Simplified to: (expm1 (* (/ 1 y) (/ x y))) (log1p (* (/ 1 y) (/ x y))) (/ x (pow y 2)) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (exp (/ x (pow y 2))) (pow (/ (/ x y) y) 3) (pow (/ (/ x y) y) 3) (pow (/ (/ x y) y) 3) (pow (/ (/ x y) y) 3) (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y)))) (cbrt (* (/ 1 y) (/ x y))) (pow (/ (/ x y) y) 3) (sqrt (* (/ 1 y) (/ x y))) (sqrt (* (/ 1 y) (/ x y))) x (pow y 2) (* (sqrt (/ 1 y)) (sqrt (/ x y))) (* (sqrt (/ 1 y)) (sqrt (/ x y))) (* (sqrt (/ 1 y)) (/ (sqrt x) (sqrt y))) (* (sqrt (/ 1 y)) (/ (sqrt x) (sqrt y))) (/ (sqrt (/ x y)) (pow y 1/2)) (/ (sqrt (/ x y)) (pow y 1/2)) (/ (sqrt x) y) (/ (sqrt x) y) (/ (sqrt (/ x y)) (pow y 1/2)) (/ (sqrt (/ x y)) (pow y 1/2)) (/ (sqrt x) y) (/ (sqrt x) y) (* (/ 1 y) (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (/ 1 y) (sqrt (/ x y))) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) y) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) y) (/ (* (cbrt x) (cbrt x)) y) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) y) (/ (sqrt x) (* (sqrt y) y)) (/ (sqrt x) y) (/ (/ 1 y) (* (cbrt y) (cbrt y))) (/ (/ 1 y) (sqrt y)) (/ 1 y) (/ 1 y) (/ x y) (* (cbrt (/ 1 y)) (/ x y)) (* (sqrt (/ 1 y)) (/ x y)) (/ (/ x y) (cbrt y)) (/ (/ x y) (sqrt y)) (/ x (pow y 2)) (/ (/ x y) (cbrt y)) (/ (/ x y) (sqrt y)) (/ x (pow y 2)) (/ (/ x y) (cbrt y)) (/ (/ x y) (sqrt y)) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) (/ x y) (/ x y) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 0.507 * * * [progress]: adding candidates to table 0.603 * * [progress]: iteration 4 / 4 0.603 * * * [progress]: picking best candidate 0.609 * * * * [pick]: Picked # 0.609 * * * [progress]: localizing error 0.623 * * * [progress]: generating rewritten candidates 0.623 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.625 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 0.626 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 0.626 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 0.628 * * * [progress]: generating series expansions 0.628 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.628 * [approximate]: Taking taylor expansion of (pow (pow y 1/3) 3) in (y) around 0 0.628 * [taylor]: Taking taylor expansion of (pow (pow y 1/3) 3) in y 0.628 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.628 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.628 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.628 * [taylor]: Taking taylor expansion of 1/3 in y 0.628 * [taylor]: Taking taylor expansion of (log y) in y 0.628 * [taylor]: Taking taylor expansion of y in y 0.629 * [taylor]: Taking taylor expansion of (pow (pow y 1/3) 3) in y 0.629 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.629 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.629 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.629 * [taylor]: Taking taylor expansion of 1/3 in y 0.629 * [taylor]: Taking taylor expansion of (log y) in y 0.629 * [taylor]: Taking taylor expansion of y in y 0.691 * [approximate]: Taking taylor expansion of (pow (pow (/ 1 y) 1/3) 3) in (y) around 0 0.691 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 y) 1/3) 3) in y 0.691 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.691 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.691 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.691 * [taylor]: Taking taylor expansion of 1/3 in y 0.691 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.691 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.691 * [taylor]: Taking taylor expansion of y in y 0.692 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 y) 1/3) 3) in y 0.692 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.692 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.692 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.692 * [taylor]: Taking taylor expansion of 1/3 in y 0.692 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.692 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.692 * [taylor]: Taking taylor expansion of y in y 0.757 * [approximate]: Taking taylor expansion of (pow (* (cbrt -1) (pow (/ 1 y) 1/3)) 3) in (y) around 0 0.757 * [taylor]: Taking taylor expansion of (pow (* (cbrt -1) (pow (/ 1 y) 1/3)) 3) in y 0.758 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.758 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.758 * [taylor]: Taking taylor expansion of -1 in y 0.758 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.758 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.758 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.758 * [taylor]: Taking taylor expansion of 1/3 in y 0.758 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.758 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.758 * [taylor]: Taking taylor expansion of y in y 0.760 * [taylor]: Taking taylor expansion of (pow (* (cbrt -1) (pow (/ 1 y) 1/3)) 3) in y 0.760 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.760 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.760 * [taylor]: Taking taylor expansion of -1 in y 0.761 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.761 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.761 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.761 * [taylor]: Taking taylor expansion of 1/3 in y 0.761 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.761 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.761 * [taylor]: Taking taylor expansion of y in y 0.849 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 0.849 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.849 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.849 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.849 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.849 * [taylor]: Taking taylor expansion of 1/3 in x 0.849 * [taylor]: Taking taylor expansion of (log x) in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.850 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.850 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.850 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.850 * [taylor]: Taking taylor expansion of 1/3 in x 0.850 * [taylor]: Taking taylor expansion of (log x) in x 0.850 * [taylor]: Taking taylor expansion of x in x 0.902 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.902 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.902 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.902 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.902 * [taylor]: Taking taylor expansion of 1/3 in x 0.902 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.902 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.902 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.903 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.903 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.903 * [taylor]: Taking taylor expansion of 1/3 in x 0.903 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.959 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.959 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.959 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.959 * [taylor]: Taking taylor expansion of -1 in x 0.960 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.960 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.960 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.960 * [taylor]: Taking taylor expansion of 1/3 in x 0.960 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.960 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.960 * [taylor]: Taking taylor expansion of x in x 0.961 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.961 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.961 * [taylor]: Taking taylor expansion of -1 in x 0.962 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.962 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.962 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.962 * [taylor]: Taking taylor expansion of 1/3 in x 0.962 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.962 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.962 * [taylor]: Taking taylor expansion of x in x 1.030 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 1.030 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.030 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.030 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.030 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.030 * [taylor]: Taking taylor expansion of 1/3 in x 1.030 * [taylor]: Taking taylor expansion of (log x) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.030 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.030 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.030 * [taylor]: Taking taylor expansion of 1/3 in x 1.030 * [taylor]: Taking taylor expansion of (log x) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.079 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.079 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.079 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.079 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.079 * [taylor]: Taking taylor expansion of 1/3 in x 1.079 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.080 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.080 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.080 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.080 * [taylor]: Taking taylor expansion of 1/3 in x 1.080 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.080 * [taylor]: Taking taylor expansion of x in x 1.138 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.138 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.138 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.138 * [taylor]: Taking taylor expansion of -1 in x 1.139 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.139 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.139 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.139 * [taylor]: Taking taylor expansion of 1/3 in x 1.139 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.139 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.139 * [taylor]: Taking taylor expansion of x in x 1.140 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.140 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.140 * [taylor]: Taking taylor expansion of -1 in x 1.140 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.140 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.140 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.140 * [taylor]: Taking taylor expansion of 1/3 in x 1.140 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.140 * [taylor]: Taking taylor expansion of x in x 1.209 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 1.209 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.209 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.209 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.209 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.209 * [taylor]: Taking taylor expansion of 1/3 in x 1.209 * [taylor]: Taking taylor expansion of (log x) in x 1.209 * [taylor]: Taking taylor expansion of x in x 1.210 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.210 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.210 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.210 * [taylor]: Taking taylor expansion of 1/3 in x 1.210 * [taylor]: Taking taylor expansion of (log x) in x 1.210 * [taylor]: Taking taylor expansion of x in x 1.263 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.263 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.263 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.263 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.263 * [taylor]: Taking taylor expansion of 1/3 in x 1.263 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.263 * [taylor]: Taking taylor expansion of x in x 1.264 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.264 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.264 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.264 * [taylor]: Taking taylor expansion of 1/3 in x 1.264 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.264 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.264 * [taylor]: Taking taylor expansion of x in x 1.315 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.315 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.315 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.315 * [taylor]: Taking taylor expansion of -1 in x 1.316 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.316 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.316 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.316 * [taylor]: Taking taylor expansion of 1/3 in x 1.316 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.316 * [taylor]: Taking taylor expansion of x in x 1.317 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.317 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.317 * [taylor]: Taking taylor expansion of -1 in x 1.318 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.318 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.318 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.318 * [taylor]: Taking taylor expansion of 1/3 in x 1.318 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.318 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.318 * [taylor]: Taking taylor expansion of x in x 1.385 * * * [progress]: simplifying candidates 1.386 * [simplify]: Simplifying using # : (expm1 (pow (cbrt y) 3)) (log1p (pow (cbrt y) 3)) (* (log (cbrt y)) 3) (* (log (cbrt y)) 3) (* 1/3 3) (* 1 3) (pow (cbrt y) (* (cbrt 3) (cbrt 3))) (pow (cbrt y) (sqrt 3)) (pow (cbrt y) 1) (pow (cbrt (* (cbrt y) (cbrt y))) 3) (pow (cbrt (cbrt y)) 3) (pow (cbrt (sqrt y)) 3) (pow (cbrt (sqrt y)) 3) (pow (cbrt 1) 3) (pow (cbrt y) 3) (pow (* (cbrt (cbrt y)) (cbrt (cbrt y))) 3) (pow (cbrt (cbrt y)) 3) (pow (sqrt (cbrt y)) 3) (pow (sqrt (cbrt y)) 3) (pow 1 3) (pow (cbrt y) 3) (* (cbrt y) (cbrt y)) (log (pow (cbrt y) 3)) (exp (pow (cbrt y) 3)) (* (cbrt (pow (cbrt y) 3)) (cbrt (pow (cbrt y) 3))) (cbrt (pow (cbrt y) 3)) (* (* (pow (cbrt y) 3) (pow (cbrt y) 3)) (pow (cbrt y) 3)) (pow (cbrt (* (cbrt y) (cbrt y))) 3) (pow (cbrt (cbrt y)) 3) (pow (cbrt (sqrt y)) 3) (pow (cbrt (sqrt y)) 3) (pow (cbrt 1) 3) (pow (cbrt y) 3) (pow (* (cbrt (cbrt y)) (cbrt (cbrt y))) 3) (pow (cbrt (cbrt y)) 3) (pow (sqrt (cbrt y)) 3) (pow (sqrt (cbrt y)) 3) (pow 1 3) (pow (cbrt y) 3) (* (cbrt y) (cbrt y)) (sqrt (pow (cbrt y) 3)) (sqrt (pow (cbrt y) 3)) (pow (cbrt y) (/ 3 2)) (pow (cbrt y) (/ 3 2)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) y y y (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 1.390 * * [simplify]: iteration 0 : 137 enodes (cost 207 ) 1.393 * * [simplify]: iteration 1 : 545 enodes (cost 186 ) 1.409 * * [simplify]: iteration 2 : 3513 enodes (cost 176 ) 1.551 * * [simplify]: iteration 3 : 5001 enodes (cost 176 ) 1.552 * [simplify]: Simplified to: (expm1 (pow (cbrt y) 3)) (log1p (pow (cbrt y) 3)) (log (pow (cbrt y) 3)) (log (pow (cbrt y) 3)) 1 3 (pow (cbrt y) (* (cbrt 3) (cbrt 3))) (pow (cbrt y) (sqrt 3)) (cbrt y) (pow (cbrt y) 2) (cbrt y) (sqrt y) (sqrt y) 1 y (pow (cbrt y) 2) (cbrt y) (pow (cbrt y) 3/2) (pow (cbrt y) 3/2) 1 y (pow (cbrt y) 2) (log (pow (cbrt y) 3)) (exp (pow (cbrt y) 3)) (pow (cbrt y) 2) (cbrt y) (pow y 3) (pow (cbrt y) 2) (cbrt y) (sqrt y) (sqrt y) 1 y (pow (cbrt y) 2) (cbrt y) (pow (cbrt y) 3/2) (pow (cbrt y) 3/2) 1 y (pow (cbrt y) 2) (sqrt y) (sqrt y) (pow (cbrt y) 3/2) (pow (cbrt y) 3/2) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) y y y (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 1.553 * * * [progress]: adding candidates to table 1.776 * [progress]: [Phase 3 of 3] Extracting. 1.776 * * [regime]: Finding splitpoints for: (# # # # # #) 1.777 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (/ x (* y y)) (- (/ x (* y y)) 3.0) y x) 1.777 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 1.798 * * * * [regimes]: Trying to branch on (/ x (* y y)) from (# # # # # #) 1.816 * * * * [regimes]: Trying to branch on (- (/ x (* y y)) 3.0) from (# # # # # #) 1.833 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.855 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.874 * * * [regime]: Found split indices: #