6.313 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying using # : (- (/ x (* y y)) 3.0) 0.029 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.031 * * [simplify]: iteration 1 : 11 enodes (cost 3 ) 0.032 * * [simplify]: iteration 2 : 11 enodes (cost 3 ) 0.032 * [simplify]: Simplified to: (- (/ x (* y y)) 3.0) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.039 * * * [progress]: generating rewritten candidates 0.039 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.043 * * * [progress]: generating series expansions 0.043 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.043 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.043 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.043 * [taylor]: Taking taylor expansion of x in y 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.051 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of x in y 0.051 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.056 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.056 * [taylor]: Taking taylor expansion of -1 in y 0.056 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of x in y 0.057 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.057 * [taylor]: Taking taylor expansion of -1 in x 0.057 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.057 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.057 * [taylor]: Taking taylor expansion of -1 in x 0.057 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.057 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.057 * [taylor]: Taking taylor expansion of -1 in y 0.057 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.066 * * * [progress]: simplifying candidates 0.066 * [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)) 0.069 * * [simplify]: iteration 0 : 101 enodes (cost 92 ) 0.072 * * [simplify]: iteration 1 : 322 enodes (cost 77 ) 0.077 * * [simplify]: iteration 2 : 957 enodes (cost 77 ) 0.096 * * [simplify]: iteration 3 : 4517 enodes (cost 77 ) 0.161 * * [simplify]: iteration 4 : 5002 enodes (cost 77 ) 0.162 * [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)) 0.162 * * * [progress]: adding candidates to table 0.208 * * [progress]: iteration 2 / 4 0.208 * * * [progress]: picking best candidate 0.213 * * * * [pick]: Picked # 0.213 * * * [progress]: localizing error 0.218 * * * [progress]: generating rewritten candidates 0.218 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.227 * * * [progress]: generating series expansions 0.227 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.227 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.227 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.227 * [taylor]: Taking taylor expansion of 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 (pow y 2)) in x 0.227 * [taylor]: Taking taylor expansion of 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 (pow y 2)) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.228 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.229 * [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 0.234 * [taylor]: Taking taylor expansion of 0 in y 0.235 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.235 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.235 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.235 * [taylor]: Taking taylor expansion of y in y 0.235 * [taylor]: Taking taylor expansion of x in y 0.235 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.235 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.235 * [taylor]: Taking taylor expansion of y in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.235 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.235 * [taylor]: Taking taylor expansion of y in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.235 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of 0 in y 0.242 * [taylor]: Taking taylor expansion of 0 in y 0.244 * [taylor]: Taking taylor expansion of 0 in y 0.245 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.245 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.245 * [taylor]: Taking taylor expansion of -1 in y 0.245 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.245 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.245 * [taylor]: Taking taylor expansion of x in y 0.245 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.245 * [taylor]: Taking taylor expansion of -1 in x 0.245 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.245 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.245 * [taylor]: Taking taylor expansion of y in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.245 * [taylor]: Taking taylor expansion of -1 in x 0.245 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.245 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.245 * [taylor]: Taking taylor expansion of y in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.246 * [taylor]: Taking taylor expansion of -1 in y 0.246 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.253 * [taylor]: Taking taylor expansion of 0 in y 0.254 * * * [progress]: simplifying candidates 0.255 * [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)) 0.260 * * [simplify]: iteration 0 : 313 enodes (cost 455 ) 0.266 * * [simplify]: iteration 1 : 1182 enodes (cost 421 ) 0.287 * * [simplify]: iteration 2 : 5001 enodes (cost 412 ) 0.290 * [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) 0.290 * * * [progress]: adding candidates to table 0.420 * * [progress]: iteration 3 / 4 0.420 * * * [progress]: picking best candidate 0.428 * * * * [pick]: Picked # 0.428 * * * [progress]: localizing error 0.437 * * * [progress]: generating rewritten candidates 0.438 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.453 * * * [progress]: generating series expansions 0.453 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.453 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.453 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.453 * [taylor]: Taking taylor expansion of x in y 0.453 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.453 * [taylor]: Taking taylor expansion of y in y 0.454 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.454 * [taylor]: Taking taylor expansion of 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 (pow y 2)) in x 0.454 * [taylor]: Taking taylor expansion of 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 (/ 1 (pow y 2)) in y 0.454 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.454 * [taylor]: Taking taylor expansion of y in y 0.455 * [taylor]: Taking taylor expansion of 0 in y 0.457 * [taylor]: Taking taylor expansion of 0 in y 0.459 * [taylor]: Taking taylor expansion of 0 in y 0.461 * [taylor]: Taking taylor expansion of 0 in y 0.461 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.461 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.461 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.461 * [taylor]: Taking taylor expansion of y in y 0.461 * [taylor]: Taking taylor expansion of x in y 0.462 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.462 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.462 * [taylor]: Taking taylor expansion of y in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.462 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.462 * [taylor]: Taking taylor expansion of y in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.463 * [taylor]: Taking taylor expansion of 0 in y 0.464 * [taylor]: Taking taylor expansion of 0 in y 0.467 * [taylor]: Taking taylor expansion of 0 in y 0.467 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.467 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.467 * [taylor]: Taking taylor expansion of -1 in y 0.467 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.467 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.467 * [taylor]: Taking taylor expansion of y in y 0.467 * [taylor]: Taking taylor expansion of x in y 0.467 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.467 * [taylor]: Taking taylor expansion of -1 in x 0.467 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.467 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.467 * [taylor]: Taking taylor expansion of y in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.468 * [taylor]: Taking taylor expansion of -1 in x 0.468 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.468 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.468 * [taylor]: Taking taylor expansion of y in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.468 * [taylor]: Taking taylor expansion of -1 in y 0.468 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.468 * [taylor]: Taking taylor expansion of y in y 0.470 * [taylor]: Taking taylor expansion of 0 in y 0.472 * [taylor]: Taking taylor expansion of 0 in y 0.476 * [taylor]: Taking taylor expansion of 0 in y 0.476 * * * [progress]: simplifying candidates 0.477 * [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)) 0.481 * * [simplify]: iteration 0 : 329 enodes (cost 308 ) 0.489 * * [simplify]: iteration 1 : 1580 enodes (cost 261 ) 0.520 * * [simplify]: iteration 2 : 5002 enodes (cost 227 ) 0.521 * [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) 0.521 * * * [progress]: adding candidates to table 0.624 * * [progress]: iteration 4 / 4 0.624 * * * [progress]: picking best candidate 0.630 * * * * [pick]: Picked # 0.630 * * * [progress]: localizing error 0.643 * * * [progress]: generating rewritten candidates 0.643 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 1) 0.644 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2) 0.645 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 0.645 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 2) 0.646 * * * [progress]: generating series expansions 0.646 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 1) 0.647 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.647 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.647 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.647 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.647 * [taylor]: Taking taylor expansion of 1/3 in x 0.647 * [taylor]: Taking taylor expansion of (log x) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.648 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.648 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.648 * [taylor]: Taking taylor expansion of 1/3 in x 0.648 * [taylor]: Taking taylor expansion of (log x) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.701 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.701 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.701 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.701 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.701 * [taylor]: Taking taylor expansion of 1/3 in x 0.701 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.701 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.701 * [taylor]: Taking taylor expansion of x in x 0.702 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.702 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.702 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.702 * [taylor]: Taking taylor expansion of 1/3 in x 0.702 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.702 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.702 * [taylor]: Taking taylor expansion of x in x 0.761 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.761 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.761 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.761 * [taylor]: Taking taylor expansion of -1 in x 0.762 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.762 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.762 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.762 * [taylor]: Taking taylor expansion of 1/3 in x 0.762 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.762 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.762 * [taylor]: Taking taylor expansion of x in x 0.763 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.763 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.763 * [taylor]: Taking taylor expansion of -1 in x 0.764 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.764 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.764 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.764 * [taylor]: Taking taylor expansion of 1/3 in x 0.764 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.764 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.833 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2) 0.833 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 0.833 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.833 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.833 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.833 * [taylor]: Taking taylor expansion of 1/3 in x 0.833 * [taylor]: Taking taylor expansion of (log x) in x 0.833 * [taylor]: Taking taylor expansion of x in x 0.834 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 0.834 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 0.834 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 0.834 * [taylor]: Taking taylor expansion of 1/3 in x 0.834 * [taylor]: Taking taylor expansion of (log x) in x 0.834 * [taylor]: Taking taylor expansion of x in x 0.882 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 0.882 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.882 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.882 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.882 * [taylor]: Taking taylor expansion of 1/3 in x 0.882 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.882 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.882 * [taylor]: Taking taylor expansion of x in x 0.883 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.883 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.883 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.883 * [taylor]: Taking taylor expansion of 1/3 in x 0.883 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.883 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.941 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.941 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.941 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.941 * [taylor]: Taking taylor expansion of -1 in x 0.942 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.942 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.942 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.942 * [taylor]: Taking taylor expansion of 1/3 in x 0.942 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.942 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.942 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 0.944 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.944 * [taylor]: Taking taylor expansion of -1 in x 0.944 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 0.944 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 0.944 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 0.944 * [taylor]: Taking taylor expansion of 1/3 in x 0.944 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.944 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.944 * [taylor]: Taking taylor expansion of x in x 1.014 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.015 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.015 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.015 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.015 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.015 * [taylor]: Taking taylor expansion of 1/3 in x 1.015 * [taylor]: Taking taylor expansion of (log x) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.015 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.015 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.015 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.015 * [taylor]: Taking taylor expansion of 1/3 in x 1.015 * [taylor]: Taking taylor expansion of (log x) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.071 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.071 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.071 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.072 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.072 * [taylor]: Taking taylor expansion of 1/3 in x 1.072 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.073 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.073 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.073 * [taylor]: Taking taylor expansion of 1/3 in x 1.073 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.073 * [taylor]: Taking taylor expansion of x in x 1.124 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.124 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.124 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.124 * [taylor]: Taking taylor expansion of -1 in x 1.125 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.125 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.125 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.125 * [taylor]: Taking taylor expansion of 1/3 in x 1.125 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.125 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.125 * [taylor]: Taking taylor expansion of x in x 1.126 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.126 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.126 * [taylor]: Taking taylor expansion of -1 in x 1.126 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.126 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.126 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.126 * [taylor]: Taking taylor expansion of 1/3 in x 1.126 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.195 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 2) 1.195 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 1.195 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.195 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.195 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.195 * [taylor]: Taking taylor expansion of 1/3 in y 1.195 * [taylor]: Taking taylor expansion of (log y) in y 1.195 * [taylor]: Taking taylor expansion of y in y 1.195 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.196 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.196 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.196 * [taylor]: Taking taylor expansion of 1/3 in y 1.196 * [taylor]: Taking taylor expansion of (log y) in y 1.196 * [taylor]: Taking taylor expansion of y in y 1.250 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 1.250 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.250 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.250 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.250 * [taylor]: Taking taylor expansion of 1/3 in y 1.250 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.250 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.250 * [taylor]: Taking taylor expansion of y in y 1.251 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.251 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.251 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.251 * [taylor]: Taking taylor expansion of 1/3 in y 1.251 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.251 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.251 * [taylor]: Taking taylor expansion of y in y 1.309 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.309 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.309 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.309 * [taylor]: Taking taylor expansion of -1 in y 1.310 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.310 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.310 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.310 * [taylor]: Taking taylor expansion of 1/3 in y 1.310 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.310 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.310 * [taylor]: Taking taylor expansion of y in y 1.311 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.311 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.311 * [taylor]: Taking taylor expansion of -1 in y 1.312 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.312 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.312 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.312 * [taylor]: Taking taylor expansion of 1/3 in y 1.312 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.312 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.312 * [taylor]: Taking taylor expansion of y in y 1.381 * * * [progress]: simplifying candidates 1.382 * [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 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)) (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 y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) 1.385 * * [simplify]: iteration 0 : 73 enodes (cost 172 ) 1.387 * * [simplify]: iteration 1 : 149 enodes (cost 160 ) 1.391 * * [simplify]: iteration 2 : 350 enodes (cost 152 ) 1.398 * * [simplify]: iteration 3 : 1283 enodes (cost 152 ) 1.436 * * [simplify]: iteration 4 : 5001 enodes (cost 152 ) 1.437 * [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)) (cbrt 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)) (cbrt 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)) (cbrt 1) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (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) (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt 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)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) 1.437 * * * [progress]: adding candidates to table 1.635 * [progress]: [Phase 3 of 3] Extracting. 1.635 * * [regime]: Finding splitpoints for: (# # # # # #) 1.636 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.636 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.659 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.679 * * * [regime]: Found split indices: #