16.366 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying using # : (- (/ x (* y y)) 3.0) 0.023 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.025 * * [simplify]: iteration 1 : 11 enodes (cost 3 ) 0.026 * * [simplify]: iteration 2 : 11 enodes (cost 3 ) 0.026 * [simplify]: Simplified to: (- (/ x (* y y)) 3.0) 0.026 * * [progress]: iteration 1 / 4 0.027 * * * [progress]: picking best candidate 0.028 * * * * [pick]: Picked # 0.028 * * * [progress]: localizing error 0.033 * * * [progress]: generating rewritten candidates 0.033 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.038 * * * [progress]: generating series expansions 0.038 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.038 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.039 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.039 * [taylor]: Taking taylor expansion of x in y 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 0 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 (/ (pow y 2) x) in (x y) around 0 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 0.046 * [taylor]: Taking taylor expansion of x in y 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 0.047 * [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 (pow y 2) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.052 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.052 * [taylor]: Taking taylor expansion of -1 in y 0.052 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.052 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.053 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.053 * [taylor]: Taking taylor expansion of -1 in x 0.053 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.053 * [taylor]: Taking taylor expansion of -1 in x 0.053 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.053 * [taylor]: Taking taylor expansion of -1 in y 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.061 * * * [progress]: simplifying candidates 0.061 * [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)) 0.065 * * [simplify]: iteration 0 : 101 enodes (cost 92 ) 0.067 * * [simplify]: iteration 1 : 322 enodes (cost 77 ) 0.072 * * [simplify]: iteration 2 : 957 enodes (cost 77 ) 0.091 * * [simplify]: iteration 3 : 4517 enodes (cost 77 ) 0.156 * * [simplify]: iteration 4 : 5002 enodes (cost 77 ) 0.157 * [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)) 0.157 * * * [progress]: adding candidates to table 0.199 * * [progress]: iteration 2 / 4 0.199 * * * [progress]: picking best candidate 0.204 * * * * [pick]: Picked # 0.204 * * * [progress]: localizing error 0.210 * * * [progress]: generating rewritten candidates 0.210 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.219 * * * [progress]: generating series expansions 0.219 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.220 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.220 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.220 * [taylor]: Taking taylor expansion of x in y 0.220 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.220 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.220 * [taylor]: Taking taylor expansion of y in x 0.220 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.220 * [taylor]: Taking taylor expansion of y in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.220 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.223 * [taylor]: Taking taylor expansion of 0 in y 0.224 * [taylor]: Taking taylor expansion of 0 in y 0.227 * [taylor]: Taking taylor expansion of 0 in y 0.227 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.227 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.227 * [taylor]: Taking taylor expansion of x in y 0.227 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.227 * [taylor]: Taking taylor expansion of y in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.227 * [taylor]: Taking taylor expansion of y in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.228 * [taylor]: Taking taylor expansion of 0 in y 0.230 * [taylor]: Taking taylor expansion of 0 in y 0.232 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.233 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.233 * [taylor]: Taking taylor expansion of -1 in y 0.233 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.233 * [taylor]: Taking taylor expansion of x in y 0.233 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.233 * [taylor]: Taking taylor expansion of -1 in x 0.233 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.233 * [taylor]: Taking taylor expansion of y in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.233 * [taylor]: Taking taylor expansion of -1 in x 0.233 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.233 * [taylor]: Taking taylor expansion of y in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.233 * [taylor]: Taking taylor expansion of -1 in y 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.235 * [taylor]: Taking taylor expansion of 0 in y 0.238 * [taylor]: Taking taylor expansion of 0 in y 0.241 * [taylor]: Taking taylor expansion of 0 in y 0.241 * * * [progress]: simplifying candidates 0.243 * [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)) 0.251 * * [simplify]: iteration 0 : 313 enodes (cost 455 ) 0.256 * * [simplify]: iteration 1 : 1182 enodes (cost 421 ) 0.278 * * [simplify]: iteration 2 : 5001 enodes (cost 412 ) 0.281 * [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) 0.282 * * * [progress]: adding candidates to table 0.380 * * [progress]: iteration 3 / 4 0.380 * * * [progress]: picking best candidate 0.385 * * * * [pick]: Picked # 0.386 * * * [progress]: localizing error 0.392 * * * [progress]: generating rewritten candidates 0.392 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.405 * * * [progress]: generating series expansions 0.405 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.406 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 0.406 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.406 * [taylor]: Taking taylor expansion of y in x 0.406 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.406 * [taylor]: Taking taylor expansion of x in y 0.406 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.406 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.406 * [taylor]: Taking taylor expansion of x in y 0.406 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.407 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of 0 in x 0.412 * [taylor]: Taking taylor expansion of 0 in x 0.414 * [taylor]: Taking taylor expansion of 0 in x 0.414 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 0.414 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.414 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.414 * [taylor]: Taking taylor expansion of y in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.414 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.415 * [taylor]: Taking taylor expansion of y in y 0.415 * [taylor]: Taking taylor expansion of x in y 0.415 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.415 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.415 * [taylor]: Taking taylor expansion of y in y 0.415 * [taylor]: Taking taylor expansion of x in y 0.415 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.416 * [taylor]: Taking taylor expansion of 0 in x 0.417 * [taylor]: Taking taylor expansion of 0 in x 0.418 * [taylor]: Taking taylor expansion of 0 in x 0.419 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (y x) around 0 0.419 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.419 * [taylor]: Taking taylor expansion of -1 in x 0.419 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.419 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.419 * [taylor]: Taking taylor expansion of y in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.419 * [taylor]: Taking taylor expansion of -1 in y 0.419 * [taylor]: Taking taylor expansion of (/ (pow y 2) 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 0.419 * [taylor]: Taking taylor expansion of x in y 0.420 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.420 * [taylor]: Taking taylor expansion of -1 in y 0.420 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.420 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.420 * [taylor]: Taking taylor expansion of y in y 0.420 * [taylor]: Taking taylor expansion of x in y 0.420 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.420 * [taylor]: Taking taylor expansion of -1 in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of 0 in x 0.423 * [taylor]: Taking taylor expansion of 0 in x 0.425 * [taylor]: Taking taylor expansion of 0 in x 0.426 * * * [progress]: simplifying candidates 0.426 * [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)) 0.431 * * [simplify]: iteration 0 : 324 enodes (cost 305 ) 0.438 * * [simplify]: iteration 1 : 1606 enodes (cost 255 ) 0.469 * * [simplify]: iteration 2 : 5002 enodes (cost 219 ) 0.471 * [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)) 0.471 * * * [progress]: adding candidates to table 0.539 * * [progress]: iteration 4 / 4 0.539 * * * [progress]: picking best candidate 0.543 * * * * [pick]: Picked # 0.543 * * * [progress]: localizing error 0.552 * * * [progress]: generating rewritten candidates 0.552 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 0.553 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2) 0.555 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 0.556 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.563 * * * [progress]: generating series expansions 0.563 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 0.563 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.563 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.563 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.563 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.563 * [taylor]: Taking taylor expansion of 1/3 in x 0.563 * [taylor]: Taking taylor expansion of (log x) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.564 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.564 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.564 * [taylor]: Taking taylor expansion of 1/3 in x 0.564 * [taylor]: Taking taylor expansion of (log x) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.616 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.616 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.616 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.616 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.616 * [taylor]: Taking taylor expansion of 1/3 in x 0.616 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.616 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.617 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.617 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.617 * [taylor]: Taking taylor expansion of 1/3 in x 0.617 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.617 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.671 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.671 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.671 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.671 * [taylor]: Taking taylor expansion of -1 in x 0.672 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.672 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.672 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.672 * [taylor]: Taking taylor expansion of 1/3 in x 0.672 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.672 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.673 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.673 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.673 * [taylor]: Taking taylor expansion of -1 in x 0.674 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.674 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.674 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.674 * [taylor]: Taking taylor expansion of 1/3 in x 0.674 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.674 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.736 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2) 0.736 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.736 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.736 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.736 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.736 * [taylor]: Taking taylor expansion of 1/3 in x 0.736 * [taylor]: Taking taylor expansion of (log x) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.737 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.737 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.737 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.737 * [taylor]: Taking taylor expansion of 1/3 in x 0.737 * [taylor]: Taking taylor expansion of (log x) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.790 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.790 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.790 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.790 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.790 * [taylor]: Taking taylor expansion of 1/3 in x 0.790 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.790 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.791 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.791 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.791 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.791 * [taylor]: Taking taylor expansion of 1/3 in x 0.791 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.791 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.846 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.846 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.846 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.846 * [taylor]: Taking taylor expansion of -1 in x 0.847 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.847 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.847 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.847 * [taylor]: Taking taylor expansion of 1/3 in x 0.847 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.847 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.847 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.848 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.848 * [taylor]: Taking taylor expansion of -1 in x 0.849 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.849 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.849 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.849 * [taylor]: Taking taylor expansion of 1/3 in x 0.849 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.849 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.915 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 0.915 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.915 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.915 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.915 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.915 * [taylor]: Taking taylor expansion of 1/3 in x 0.915 * [taylor]: Taking taylor expansion of (log x) in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.916 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.916 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.916 * [taylor]: Taking taylor expansion of 1/3 in x 0.916 * [taylor]: Taking taylor expansion of (log x) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.964 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.965 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.965 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.965 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.965 * [taylor]: Taking taylor expansion of 1/3 in x 0.965 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.965 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.966 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.966 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.966 * [taylor]: Taking taylor expansion of 1/3 in x 0.966 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.966 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.966 * [taylor]: Taking taylor expansion of x in x 1.022 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.023 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.023 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.023 * [taylor]: Taking taylor expansion of -1 in x 1.023 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.023 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.023 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.023 * [taylor]: Taking taylor expansion of 1/3 in x 1.023 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.023 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.023 * [taylor]: Taking taylor expansion of x in x 1.024 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.024 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.024 * [taylor]: Taking taylor expansion of -1 in x 1.025 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.025 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.025 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.025 * [taylor]: Taking taylor expansion of 1/3 in x 1.025 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.025 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.093 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.093 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/3) in (x) around 0 1.093 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 1.093 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 1.093 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 1.093 * [taylor]: Taking taylor expansion of 1/3 in x 1.093 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 1.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.094 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 1.094 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 1.094 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 1.094 * [taylor]: Taking taylor expansion of 1/3 in x 1.094 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 1.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.152 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 1.152 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.152 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.152 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.152 * [taylor]: Taking taylor expansion of 1/3 in x 1.152 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.152 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.152 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.152 * [taylor]: Taking taylor expansion of x in x 1.153 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.153 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.153 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.153 * [taylor]: Taking taylor expansion of 1/3 in x 1.153 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.215 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 1.215 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 1.215 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 1.215 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.215 * [taylor]: Taking taylor expansion of -1 in x 1.216 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.216 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.216 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.216 * [taylor]: Taking taylor expansion of 1/3 in x 1.216 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.216 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.216 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.216 * [taylor]: Taking taylor expansion of x in x 1.217 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 1.217 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 1.217 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.217 * [taylor]: Taking taylor expansion of -1 in x 1.218 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.218 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.218 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.218 * [taylor]: Taking taylor expansion of 1/3 in x 1.218 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.218 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.218 * [taylor]: Taking taylor expansion of x in x 1.297 * * * [progress]: simplifying candidates 1.298 * [simplify]: Simplifying using # : (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)) (expm1 (* (cbrt x) (cbrt x))) (log1p (* (cbrt x) (cbrt x))) (+ 1/3 1/3) (+ 1 1) (* x x) (* (cbrt x) (cbrt x)) (+ 1 1) (+ (log (cbrt x)) (log (cbrt x))) (log (* (cbrt x) (cbrt x))) (exp (* (cbrt x) (cbrt x))) (* x x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (* (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 1 1) (* (cbrt x) (cbrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 2 1/3) (* 2 1) (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (* (cbrt x) (cbrt 1)) (* (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt x) (sqrt (cbrt x))) (* (cbrt x) 1) (* (cbrt (cbrt x)) (cbrt x)) (* (cbrt (sqrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt (cbrt x)) (cbrt x)) (* (sqrt (cbrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (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)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) 1.302 * * [simplify]: iteration 0 : 119 enodes (cost 308 ) 1.306 * * [simplify]: iteration 1 : 477 enodes (cost 281 ) 1.320 * * [simplify]: iteration 2 : 2972 enodes (cost 258 ) 1.386 * * [simplify]: iteration 3 : 5001 enodes (cost 255 ) 1.389 * [simplify]: Simplified to: (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)) (expm1 (* (cbrt x) (cbrt x))) (log1p (* (cbrt x) (cbrt x))) 2/3 2 (pow x 2) (pow x 2/3) 2 (* 2/3 (log x)) (* 2/3 (log x)) (exp (pow x 2/3)) (pow x 2) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (pow x 2) (fabs (pow x 1/3)) (fabs (pow x 1/3)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1 (pow x 2/3) (pow (cbrt (cbrt x)) 4) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (pow x 1/3) (pow x 1/3) 1 (pow x 2/3) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (pow x 1/3) (pow x 1/3) 2/3 2 (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (pow x 1/3) (pow (cbrt (cbrt x)) 5) (pow (sqrt (cbrt x)) 3) (pow x 1/3) (pow (cbrt (cbrt x)) 4) (* (cbrt x) (cbrt (sqrt x))) (pow x 2/3) (pow (cbrt (cbrt x)) 4) (pow (sqrt (cbrt x)) 3) (pow x 2/3) (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)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) 1.389 * * * [progress]: adding candidates to table 1.557 * [progress]: [Phase 3 of 3] Extracting. 1.557 * * [regime]: Finding splitpoints for: (# # # # # #) 1.558 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (/ x (* y y)) (- (/ x (* y y)) 3.0) y x) 1.558 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 1.578 * * * * [regimes]: Trying to branch on (/ x (* y y)) from (# # # # # #) 1.595 * * * * [regimes]: Trying to branch on (- (/ x (* y y)) 3.0) from (# # # # # #) 1.613 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.631 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.652 * * * [regime]: Found split indices: #