20.679 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.093 * * * [progress]: [2/2] Setting up program. 0.096 * [progress]: [Phase 2 of 3] Improving. 0.096 * [simplify]: Simplifying using # : (- (/ x (* y y)) 3.0) 0.098 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.099 * * [simplify]: iteration 1 : 11 enodes (cost 3 ) 0.100 * * [simplify]: iteration 2 : 11 enodes (cost 3 ) 0.100 * [simplify]: Simplified to: (- (/ x (* y y)) 3.0) 0.101 * * [progress]: iteration 1 / 4 0.101 * * * [progress]: picking best candidate 0.103 * * * * [pick]: Picked # 0.103 * * * [progress]: localizing error 0.108 * * * [progress]: generating rewritten candidates 0.108 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.113 * * * [progress]: generating series expansions 0.113 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.113 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.113 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.113 * [taylor]: Taking taylor expansion of x in y 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.113 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [taylor]: Taking taylor expansion of 0 in y 0.114 * [taylor]: Taking taylor expansion of 0 in y 0.114 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.115 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.115 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.115 * [taylor]: Taking taylor expansion of x in y 0.115 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.115 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.115 * [taylor]: Taking taylor expansion of y in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.115 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.115 * [taylor]: Taking taylor expansion of y in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.116 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.116 * [taylor]: Taking taylor expansion of -1 in y 0.116 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.116 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.116 * [taylor]: Taking taylor expansion of y in y 0.116 * [taylor]: Taking taylor expansion of x in y 0.116 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.116 * [taylor]: Taking taylor expansion of -1 in x 0.116 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.116 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.116 * [taylor]: Taking taylor expansion of y in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.116 * [taylor]: Taking taylor expansion of -1 in x 0.116 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.116 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.116 * [taylor]: Taking taylor expansion of y in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.117 * [taylor]: Taking taylor expansion of -1 in y 0.117 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.117 * [taylor]: Taking taylor expansion of y in y 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.118 * * * [progress]: simplifying candidates 0.118 * [simplify]: Simplifying using # : (- (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))) (neg x) (neg (* 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)) 0.121 * * [simplify]: iteration 0 : 99 enodes (cost 86 ) 0.123 * * [simplify]: iteration 1 : 320 enodes (cost 71 ) 0.128 * * [simplify]: iteration 2 : 952 enodes (cost 71 ) 0.146 * * [simplify]: iteration 3 : 4497 enodes (cost 71 ) 0.211 * * [simplify]: iteration 4 : 5001 enodes (cost 71 ) 0.213 * [simplify]: Simplified to: (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))) (neg x) (neg (* 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)) 0.213 * * * [progress]: adding candidates to table 0.244 * * [progress]: iteration 2 / 4 0.244 * * * [progress]: picking best candidate 0.257 * * * * [pick]: Picked # 0.257 * * * [progress]: localizing error 0.263 * * * [progress]: generating rewritten candidates 0.263 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.271 * * * [progress]: generating series expansions 0.271 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.271 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.271 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.271 * [taylor]: Taking taylor expansion of x in y 0.271 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.272 * [taylor]: Taking taylor expansion of y in x 0.272 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.272 * [taylor]: Taking taylor expansion of y in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.272 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of 0 in y 0.272 * [taylor]: Taking taylor expansion of 0 in y 0.273 * [taylor]: Taking taylor expansion of 0 in y 0.273 * [taylor]: Taking taylor expansion of 0 in y 0.273 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.273 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.274 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of x in y 0.274 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.274 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.274 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of 0 in y 0.274 * [taylor]: Taking taylor expansion of 0 in y 0.274 * [taylor]: Taking taylor expansion of 0 in y 0.275 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.275 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.275 * [taylor]: Taking taylor expansion of -1 in y 0.275 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.275 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of x in y 0.275 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.275 * [taylor]: Taking taylor expansion of -1 in x 0.275 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.275 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.275 * [taylor]: Taking taylor expansion of y in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.275 * [taylor]: Taking taylor expansion of -1 in x 0.275 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.275 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.275 * [taylor]: Taking taylor expansion of y in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.275 * [taylor]: Taking taylor expansion of -1 in y 0.275 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of 0 in y 0.276 * [taylor]: Taking taylor expansion of 0 in y 0.276 * [taylor]: Taking taylor expansion of 0 in y 0.276 * * * [progress]: simplifying candidates 0.277 * [simplify]: Simplifying using # : (- (- (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)) (neg (/ x y)) (neg 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)) 0.282 * * [simplify]: iteration 0 : 311 enodes (cost 449 ) 0.287 * * [simplify]: iteration 1 : 1180 enodes (cost 415 ) 0.307 * * [simplify]: iteration 2 : 5002 enodes (cost 406 ) 0.311 * [simplify]: Simplified to: (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)) (neg (/ x y)) (neg 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) 0.311 * * * [progress]: adding candidates to table 0.368 * * [progress]: iteration 3 / 4 0.368 * * * [progress]: picking best candidate 0.384 * * * * [pick]: Picked # 0.385 * * * [progress]: localizing error 0.391 * * * [progress]: generating rewritten candidates 0.391 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.402 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 0.423 * * * [progress]: generating series expansions 0.423 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.423 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 0.423 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.423 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.423 * [taylor]: Taking taylor expansion of x in y 0.423 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.423 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.423 * [taylor]: Taking taylor expansion of x in y 0.423 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of 0 in x 0.424 * [taylor]: Taking taylor expansion of 0 in x 0.424 * [taylor]: Taking taylor expansion of 0 in x 0.424 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 0.424 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.424 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.424 * [taylor]: Taking taylor expansion of y in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.424 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.424 * [taylor]: Taking taylor expansion of y in y 0.424 * [taylor]: Taking taylor expansion of x in y 0.424 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.424 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.424 * [taylor]: Taking taylor expansion of y in y 0.424 * [taylor]: Taking taylor expansion of x in y 0.425 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of 0 in x 0.425 * [taylor]: Taking taylor expansion of 0 in x 0.425 * [taylor]: Taking taylor expansion of 0 in x 0.425 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (y x) around 0 0.425 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.425 * [taylor]: Taking taylor expansion of -1 in x 0.425 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.425 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.425 * [taylor]: Taking taylor expansion of y in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.426 * [taylor]: Taking taylor expansion of -1 in y 0.426 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.426 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.426 * [taylor]: Taking taylor expansion of y in y 0.426 * [taylor]: Taking taylor expansion of x in y 0.426 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.426 * [taylor]: Taking taylor expansion of -1 in y 0.426 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.426 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.426 * [taylor]: Taking taylor expansion of y in y 0.426 * [taylor]: Taking taylor expansion of x in y 0.426 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.426 * [taylor]: Taking taylor expansion of -1 in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of 0 in x 0.426 * [taylor]: Taking taylor expansion of 0 in x 0.426 * [taylor]: Taking taylor expansion of 0 in x 0.427 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 0.427 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 0.427 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.427 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.427 * [taylor]: Taking taylor expansion of y in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.427 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.427 * [taylor]: Taking taylor expansion of y in y 0.427 * [taylor]: Taking taylor expansion of x in y 0.427 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.427 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.427 * [taylor]: Taking taylor expansion of y in y 0.427 * [taylor]: Taking taylor expansion of x in y 0.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of 0 in x 0.427 * [taylor]: Taking taylor expansion of 0 in x 0.428 * [taylor]: Taking taylor expansion of 0 in x 0.428 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 0.428 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.428 * [taylor]: Taking taylor expansion of y in x 0.428 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.428 * [taylor]: Taking taylor expansion of x in y 0.428 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.428 * [taylor]: Taking taylor expansion of y in y 0.428 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.428 * [taylor]: Taking taylor expansion of x in y 0.428 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.428 * [taylor]: Taking taylor expansion of y in y 0.428 * [taylor]: Taking taylor expansion of x in x 0.429 * [taylor]: Taking taylor expansion of 0 in x 0.429 * [taylor]: Taking taylor expansion of 0 in x 0.429 * [taylor]: Taking taylor expansion of 0 in x 0.429 * [approximate]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in (y x) around 0 0.429 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in x 0.429 * [taylor]: Taking taylor expansion of -1 in x 0.429 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.429 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.429 * [taylor]: Taking taylor expansion of y in x 0.429 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 0.429 * [taylor]: Taking taylor expansion of -1 in y 0.429 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.429 * [taylor]: Taking taylor expansion of x in y 0.429 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.429 * [taylor]: Taking taylor expansion of y in y 0.429 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 0.429 * [taylor]: Taking taylor expansion of -1 in y 0.429 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.429 * [taylor]: Taking taylor expansion of x in y 0.429 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.429 * [taylor]: Taking taylor expansion of y in y 0.430 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.430 * [taylor]: Taking taylor expansion of -1 in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of 0 in x 0.430 * [taylor]: Taking taylor expansion of 0 in x 0.430 * [taylor]: Taking taylor expansion of 0 in x 0.430 * * * [progress]: simplifying candidates 0.434 * [simplify]: Simplifying using # : (neg 1) (neg (- (log y) (- (log x) (log y)))) (neg (- (log y) (log (/ x y)))) (neg (log (/ y (/ x y)))) (- 0 (- (log y) (- (log x) (log y)))) (- 0 (- (log y) (log (/ x y)))) (- 0 (log (/ y (/ x y)))) (- (log 1) (- (log y) (- (log x) (log y)))) (- (log 1) (- (log y) (log (/ x y)))) (- (log 1) (log (/ y (/ 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 1) 1) (* (* (/ y (/ x y)) (/ y (/ x y))) (/ 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)))) (neg 1) (neg (/ y (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ y (/ x y))) (cbrt (/ y (/ x y))))) (/ (cbrt 1) (cbrt (/ y (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ y (/ x y)))) (/ (cbrt 1) (sqrt (/ y (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (/ x y)) (cbrt (/ x y))))) (/ (cbrt 1) (/ (cbrt y) (cbrt (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (sqrt (/ x y)))) (/ (cbrt 1) (/ (cbrt y) (sqrt (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ (cbrt y) (/ (cbrt x) (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (/ (cbrt 1) (/ (cbrt y) (/ (cbrt x) (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ 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y))))) (/ (cbrt 1) (/ (sqrt y) (cbrt (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (sqrt (/ x y)))) (/ (cbrt 1) (/ (sqrt y) (sqrt (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ (sqrt y) (/ (cbrt x) (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (/ (cbrt 1) (/ (sqrt y) (/ (cbrt x) (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) 1))) (/ (cbrt 1) (/ (sqrt y) (/ (cbrt x) y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (sqrt x) (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ (sqrt y) (/ (sqrt x) (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (sqrt x) (sqrt y)))) (/ (cbrt 1) (/ (sqrt y) (/ (sqrt x) (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (sqrt x) 1))) (/ (cbrt 1) (/ (sqrt y) (/ (sqrt x) y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ 1 (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ (sqrt y) (/ x (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ 1 (sqrt y)))) (/ 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(/ x y) (/ x y) (/ 1 y) (/ (/ 1 (cbrt (/ y (/ x y)))) (cbrt (/ y (/ x y)))) (/ 1 (cbrt (/ y (/ x y)))) (/ 1 (sqrt (/ y (/ x y)))) (/ 1 (sqrt (/ y (/ x y)))) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt y) (cbrt y))) (/ 1 (/ (cbrt y) (cbrt (/ x y)))) (/ (sqrt (/ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (/ x y)) (cbrt y)) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ 1 (/ (cbrt y) (/ (cbrt x) (cbrt y)))) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (sqrt y)) (/ 1 (/ (cbrt y) (/ (cbrt x) (sqrt y)))) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (/ 1 (/ (cbrt y) (/ (cbrt x) y))) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (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))) (/ (* 1 (/ (sqrt x) (cbrt 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))) (/ (/ x y) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ x (* (cbrt y) (cbrt y))) (/ 1 (/ (cbrt y) (/ 1 y))) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (sqrt y)) (/ 1 (/ (sqrt y) (cbrt (/ x y)))) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (sqrt y)) (/ 1 (/ (sqrt y) (/ (cbrt x) (cbrt y)))) (/ 1 (/ y (* (cbrt x) (cbrt x)))) (/ 1 (/ y (cbrt x))) (/ (* (cbrt x) (cbrt x)) (sqrt y)) (/ (* 1 (/ (cbrt x) y)) (sqrt 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) (/ 1 (* (* (cbrt y) (cbrt y)) (sqrt y))) (/ (/ x (cbrt y)) (sqrt y)) (/ 1 y) (/ x y) (/ 1 (sqrt y)) (/ (/ x y) (sqrt y)) (/ 1 (sqrt y)) (/ (/ x y) (sqrt y)) (/ x (sqrt y)) (/ (/ 1 (sqrt y)) y) (* (cbrt (/ x y)) (cbrt (/ x y))) (/ 1 (/ y (cbrt (/ x y)))) (sqrt (/ x y)) (/ (sqrt (/ x y)) y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (/ 1 (/ (cbrt y) (/ (cbrt x) y))) (/ (* (cbrt x) (cbrt x)) (sqrt y)) (/ (* 1 (/ (cbrt x) y)) (sqrt y)) (* (cbrt x) (cbrt x)) (/ 1 (/ y (/ (cbrt x) y))) (/ (sqrt x) (* (cbrt y) (cbrt y))) (/ (* 1 (/ (sqrt x) (cbrt y))) y) (/ (sqrt x) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) y) (sqrt x) (/ 1 (/ y (/ (sqrt x) y))) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (/ x y) (sqrt y)) 1 (/ (/ x y) y) 1 (/ (/ x y) y) x (/ (/ 1 y) y) 1 (/ (/ x y) y) (/ 1 y) (/ x y) (/ x y) (/ 1 y) (/ (/ x y) y) (/ y (/ x y)) (/ (/ 1 (cbrt (/ y (/ x y)))) (cbrt (/ y (/ x y)))) (/ 1 (sqrt (/ y (/ x y)))) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt y) (cbrt y))) (/ (sqrt (/ x y)) (* (cbrt y) (cbrt y))) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (sqrt y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (sqrt x) (* (cbrt y) (cbrt y))) (/ 1 (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (* (* (cbrt y) (cbrt y)) (sqrt y))) (/ 1 (* (cbrt y) (cbrt y))) (/ 1 (* (cbrt y) (cbrt y))) (/ x (* (cbrt y) (cbrt y))) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (sqrt y)) (/ 1 (/ y (* (cbrt x) (cbrt x)))) (/ (* (cbrt x) (cbrt x)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (sqrt x) y) (/ (sqrt x) (sqrt y)) (/ 1 (* (* (cbrt y) (cbrt y)) (sqrt y))) (/ 1 y) (/ 1 (sqrt y)) (/ 1 (sqrt y)) (/ x (sqrt y)) (* (cbrt (/ x y)) (cbrt (/ x y))) (sqrt (/ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (sqrt y)) (* (cbrt x) (cbrt x)) (/ (sqrt x) (* (cbrt y) (cbrt y))) (/ (sqrt x) (sqrt y)) (sqrt x) (/ 1 (* (cbrt y) (cbrt y))) (/ 1 (sqrt y)) 1 1 x 1 (/ 1 y) (/ x y) (/ (/ y (/ x y)) (cbrt 1)) (/ y (/ x y)) (/ y (/ x y)) (/ 1 y) (log (/ y (/ x y))) (log (/ y (/ x y))) (log (/ y (/ x y))) (exp (/ y (/ x y))) (pow (/ y (/ x y)) 3) (pow (/ y (/ x y)) 3) (* (cbrt (/ y (/ x y))) (cbrt (/ y (/ x y)))) (cbrt (/ y (/ x y))) (pow (/ y (/ x y)) 3) (sqrt (/ y (/ x y))) (sqrt (/ y (/ x y))) (neg y) (neg (/ x y)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ (cbrt y) (cbrt (/ x y))) (/ (* (cbrt y) (cbrt y)) (sqrt (/ x y))) (/ (cbrt y) (sqrt (/ x y))) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ (cbrt y) (/ (cbrt x) (cbrt y))) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ (cbrt y) (/ (cbrt x) (sqrt y))) (/ (cbrt y) (/ (* (cbrt x) (cbrt x)) (cbrt y))) (/ (cbrt y) (/ (cbrt x) y)) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ (cbrt y) (/ (sqrt x) (cbrt y))) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) (sqrt y))) (/ (cbrt y) (/ (sqrt x) (sqrt y))) (/ (cbrt y) (/ (sqrt x) (cbrt y))) (/ y (/ (sqrt x) (cbrt y))) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (/ (* (cbrt y) (cbrt y)) x) (* (* (cbrt y) (cbrt y)) (sqrt y)) (/ (cbrt y) (/ x (sqrt y))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (/ x y)) (* (cbrt y) (cbrt y)) (/ (cbrt y) (/ x y)) (/ (* (cbrt y) (cbrt y)) x) (* (cbrt y) y) (/ (sqrt y) (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ (sqrt y) (cbrt (/ x y))) (/ (sqrt y) (sqrt (/ x y))) (/ (sqrt y) (sqrt (/ x y))) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ (sqrt y) (/ (cbrt x) (cbrt y))) (/ y (* (cbrt x) (cbrt x))) (/ y (cbrt x)) (/ (sqrt y) (* (cbrt x) (cbrt x))) (/ (sqrt y) (/ (cbrt x) y)) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) (sqrt y))) (/ (sqrt y) (/ (sqrt x) (cbrt y))) (/ y (sqrt x)) (/ y (sqrt x)) (/ (sqrt y) (sqrt x)) (/ y (/ (sqrt x) (sqrt y))) (* (* (cbrt y) (cbrt y)) (sqrt y)) (/ (sqrt y) (/ x (cbrt y))) y (/ y x) (sqrt y) (/ (sqrt y) (/ x y)) (sqrt y) (/ (sqrt y) (/ x y)) (/ (sqrt y) x) (* y (sqrt y)) (/ 1 (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ y (cbrt (/ x y))) (/ 1 (sqrt (/ x y))) (/ y (sqrt (/ x y))) (/ (cbrt y) (/ (* (cbrt x) (cbrt x)) (cbrt y))) (/ (cbrt y) (/ (cbrt x) y)) (/ (sqrt y) (* (cbrt x) (cbrt x))) (/ (sqrt y) (/ (cbrt x) y)) (/ 1 (* (cbrt x) (cbrt x))) (/ y (/ (cbrt x) y)) (/ (cbrt y) (/ (sqrt x) (cbrt y))) (/ y (/ (sqrt x) (cbrt y))) (/ (sqrt y) (sqrt x)) (/ y (/ (sqrt x) (sqrt y))) (/ 1 (sqrt x)) (/ y (/ (sqrt x) y)) (* (cbrt y) (cbrt y)) (/ (cbrt y) (/ x y)) (sqrt y) (/ (sqrt y) (/ x y)) 1 (/ y (/ x y)) 1 (/ y (/ x y)) (/ 1 x) (pow y 2) (/ y x) (/ (/ x y) y) (/ y (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ y (sqrt (/ x y))) (/ 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 (* (cbrt y) (cbrt y))) (* y (sqrt y)) y y (/ y x) (/ (/ x y) (cbrt y)) (/ (/ x y) (sqrt y)) (/ (/ x y) y) (/ y x) (/ (/ x y) y) (/ (/ x y) y) (/ (/ x y) y) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ x y)) 0.488 * * * [progress]: adding candidates to table 0.687 * * [progress]: iteration 4 / 4 0.687 * * * [progress]: picking best candidate 0.699 * * * * [pick]: Picked # 0.699 * * * [progress]: localizing error 0.705 * * * [progress]: generating rewritten candidates 0.705 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.711 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 0.718 * * * [progress]: generating series expansions 0.719 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.719 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 0.719 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.719 * [taylor]: Taking taylor expansion of x in x 0.719 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.719 * [taylor]: Taking taylor expansion of y in x 0.719 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.719 * [taylor]: Taking taylor expansion of x in y 0.719 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.719 * [taylor]: Taking taylor expansion of y in y 0.719 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.719 * [taylor]: Taking taylor expansion of x in y 0.719 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.719 * [taylor]: Taking taylor expansion of y in y 0.719 * [taylor]: Taking taylor expansion of x in x 0.719 * [taylor]: Taking taylor expansion of 0 in x 0.719 * [taylor]: Taking taylor expansion of 0 in x 0.719 * [taylor]: Taking taylor expansion of 0 in x 0.720 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 0.720 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.720 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.720 * [taylor]: Taking taylor expansion of y in x 0.720 * [taylor]: Taking taylor expansion of x in x 0.720 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.720 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.720 * [taylor]: Taking taylor expansion of y in y 0.720 * [taylor]: Taking taylor expansion of x in y 0.720 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.720 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.720 * [taylor]: Taking taylor expansion of y in y 0.720 * [taylor]: Taking taylor expansion of x in y 0.720 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.720 * [taylor]: Taking taylor expansion of x in x 0.720 * [taylor]: Taking taylor expansion of 0 in x 0.720 * [taylor]: Taking taylor expansion of 0 in x 0.721 * [taylor]: Taking taylor expansion of 0 in x 0.721 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (y x) around 0 0.721 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.721 * [taylor]: Taking taylor expansion of -1 in x 0.721 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.721 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.721 * [taylor]: Taking taylor expansion of y in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.721 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.721 * [taylor]: Taking taylor expansion of -1 in y 0.721 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.721 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.721 * [taylor]: Taking taylor expansion of y in y 0.721 * [taylor]: Taking taylor expansion of x in y 0.721 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.721 * [taylor]: Taking taylor expansion of -1 in y 0.721 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.721 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.721 * [taylor]: Taking taylor expansion of y in y 0.721 * [taylor]: Taking taylor expansion of x in y 0.721 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.721 * [taylor]: Taking taylor expansion of -1 in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of 0 in x 0.722 * [taylor]: Taking taylor expansion of 0 in x 0.722 * [taylor]: Taking taylor expansion of 0 in x 0.722 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 0.722 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 0.722 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.722 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.722 * [taylor]: Taking taylor expansion of y in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.722 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.722 * [taylor]: Taking taylor expansion of y in y 0.722 * [taylor]: Taking taylor expansion of x in y 0.723 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.723 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.723 * [taylor]: Taking taylor expansion of y in y 0.723 * [taylor]: Taking taylor expansion of x in y 0.723 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of 0 in x 0.723 * [taylor]: Taking taylor expansion of 0 in x 0.723 * [taylor]: Taking taylor expansion of 0 in x 0.723 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 0.723 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.723 * [taylor]: Taking taylor expansion of y in x 0.723 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.723 * [taylor]: Taking taylor expansion of x in y 0.724 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.724 * [taylor]: Taking taylor expansion of y in y 0.724 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.724 * [taylor]: Taking taylor expansion of x in y 0.724 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.724 * [taylor]: Taking taylor expansion of y in y 0.724 * [taylor]: Taking taylor expansion of x in x 0.724 * [taylor]: Taking taylor expansion of 0 in x 0.726 * [taylor]: Taking taylor expansion of 0 in x 0.726 * [taylor]: Taking taylor expansion of 0 in x 0.727 * [approximate]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in (y x) around 0 0.727 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in x 0.727 * [taylor]: Taking taylor expansion of -1 in x 0.727 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.727 * [taylor]: Taking taylor expansion of y in x 0.727 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 0.727 * [taylor]: Taking taylor expansion of -1 in y 0.727 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.727 * [taylor]: Taking taylor expansion of x in y 0.727 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.727 * [taylor]: Taking taylor expansion of y in y 0.727 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 0.727 * [taylor]: Taking taylor expansion of -1 in y 0.727 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.727 * [taylor]: Taking taylor expansion of x in y 0.727 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.727 * [taylor]: Taking taylor expansion of y in y 0.727 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.727 * [taylor]: Taking taylor expansion of -1 in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of 0 in x 0.727 * [taylor]: Taking taylor expansion of 0 in x 0.728 * [taylor]: Taking taylor expansion of 0 in x 0.728 * * * [progress]: simplifying candidates 0.729 * [simplify]: Simplifying using # : (neg 1) (neg 1) (neg (+ (log y) (- (log y) (log x)))) (neg (+ (log y) (log (/ y x)))) (neg (log (* y (/ y x)))) (- 0 (+ (log y) (- (log y) (log x)))) (- 0 (+ (log y) (log (/ y x)))) (- 0 (log (* y (/ y x)))) (- (log 1) (+ (log y) (- (log y) (log x)))) (- (log 1) (+ (log y) (log (/ y x)))) (- (log 1) (log (* y (/ y x)))) (log (/ 1 (* y (/ y x)))) (exp (/ 1 (* y (/ y x)))) (/ (* (* 1 1) 1) (* (* (* y y) y) (/ (* (* y y) y) (* (* x x) x)))) (/ (* (* 1 1) 1) (* (* (* y y) y) (* (* (/ y x) (/ y x)) (/ y x)))) (/ (* (* 1 1) 1) (* (* (* y (/ y x)) (* y (/ y x))) (* y (/ y x)))) (* (cbrt (/ 1 (* y (/ y x)))) (cbrt (/ 1 (* y (/ y x))))) (cbrt (/ 1 (* y (/ y x)))) (* (* (/ 1 (* y (/ y x))) (/ 1 (* y (/ y x)))) (/ 1 (* y (/ y x)))) (sqrt (/ 1 (* y (/ y x)))) (sqrt (/ 1 (* y (/ y x)))) (neg 1) (neg (* y (/ y x))) (/ (* (cbrt 1) (cbrt 1)) y) (/ (cbrt 1) (/ y x)) (/ (sqrt 1) y) (/ (sqrt 1) (/ y x)) (/ 1 y) (/ 1 (/ y x)) (/ 1 (* y (/ y x))) (/ (* y (/ y x)) 1) (/ 1 y) (/ (* y (/ y x)) (cbrt 1)) (/ (* y (/ y x)) (sqrt 1)) (/ (* y (/ y x)) 1) (/ 1 (* y y)) (* y (/ y x)) (+ (log y) (- (log y) (log x))) (+ (log y) (log (/ y x))) (log (* y (/ y x))) (exp (* y (/ y x))) (* (* (* y y) y) (/ (* (* y y) y) (* (* x x) x))) (* (* (* y y) y) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* y (/ y x))) (cbrt (* y (/ y x)))) (cbrt (* y (/ y x))) (* (* (* y (/ y x)) (* y (/ y x))) (* y (/ y x))) (sqrt (* y (/ y x))) (sqrt (* y (/ y x))) (* (sqrt y) (sqrt (/ y x))) (* (sqrt y) (sqrt (/ y x))) (* (sqrt y) (/ (sqrt y) (sqrt x))) (* (sqrt y) (/ (sqrt y) (sqrt x))) (* y (* (cbrt (/ y x)) (cbrt (/ y x)))) (* y (sqrt (/ y x))) (* y (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* y (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* y (/ (* (cbrt y) (cbrt y)) 1)) (* y (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* y (/ (sqrt y) (sqrt x))) (* y (/ (sqrt y) 1)) (* y (/ 1 (* (cbrt x) (cbrt x)))) (* y (/ 1 (sqrt x))) (* y (/ 1 1)) (* y 1) (* y y) (* (cbrt y) (/ y x)) (* (sqrt y) (/ y x)) (* y (/ y x)) (* y y) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) (/ (pow y 2) x) (/ (pow y 2) x) (/ (pow y 2) x) 0.733 * * [simplify]: iteration 0 : 256 enodes (cost 278 ) 0.738 * * [simplify]: iteration 1 : 1360 enodes (cost 231 ) 0.765 * * [simplify]: iteration 2 : 5001 enodes (cost 221 ) 0.768 * [simplify]: Simplified to: -1 -1 (log (/ 1 (* y (/ y x)))) (log (/ 1 (* y (/ y x)))) (log (/ 1 (* y (/ y x)))) (log (/ 1 (* y (/ y x)))) (log (/ 1 (* y (/ y x)))) (log (/ 1 (* y (/ y x)))) (log (/ 1 (* y (/ y x)))) (log (/ 1 (* y (/ y x)))) (log (/ 1 (* y (/ y x)))) (log (/ 1 (* y (/ y x)))) (exp (/ 1 (* y (/ y x)))) (/ 1 (pow (* y (/ y x)) 3)) (/ 1 (pow (* y (/ y x)) 3)) (/ 1 (pow (* y (/ y x)) 3)) (* (cbrt (/ 1 (* y (/ y x)))) (cbrt (/ 1 (* y (/ y x))))) (cbrt (/ 1 (* y (/ y x)))) (/ 1 (pow (* y (/ y x)) 3)) (sqrt (/ 1 (* y (/ y x)))) (sqrt (/ 1 (* y (/ y x)))) -1 (neg (* y (/ y x))) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ x (pow y 2)) (* y (/ y x)) (/ 1 y) (* y (/ y x)) (* y (/ y x)) (* y (/ y x)) (/ 1 (* y y)) (* y (/ y x)) (log (* y (/ y x))) (log (* y (/ y x))) (log (* y (/ y x))) (exp (* y (/ y x))) (pow (* y (/ y x)) 3) (pow (* y (/ y x)) 3) (* (cbrt (* y (/ y x))) (cbrt (* y (/ y x)))) (cbrt (* y (/ y x))) (pow (* y (/ y x)) 3) (sqrt (* y (/ y x))) (sqrt (* y (/ y x))) (* (sqrt y) (sqrt (/ y x))) (* (sqrt y) (sqrt (/ y x))) (/ y (sqrt x)) (/ y (sqrt x)) (* y (* (cbrt (/ y x)) (cbrt (/ y x)))) (* y (sqrt (/ y x))) (* y (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* y (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* (* (cbrt y) (cbrt y)) y) (* y (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* y (/ (sqrt y) (sqrt x))) (* (sqrt y) y) (/ y (* (cbrt x) (cbrt x))) (/ y (sqrt x)) y y (pow y 2) (* (cbrt y) (/ y x)) (* (sqrt y) (/ y x)) (* y (/ y x)) (pow y 2) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) (* y (/ y x)) (* y (/ y x)) (* y (/ y x)) 0.768 * * * [progress]: adding candidates to table 0.816 * [progress]: [Phase 3 of 3] Extracting. 0.816 * * [regime]: Finding splitpoints for: (# # # # # #) 0.817 * * * [regime-changes]: Trying 3 branch expressions: ((* y y) y x) 0.817 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 0.858 * * * * [regimes]: Trying to branch on y from (# # # # # #) 0.902 * * * * [regimes]: Trying to branch on x from (# # # # # #) 0.946 * * * [regime]: Found split indices: #