3.824 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (/ x (* y y)) 0.015 * [simplify]: Sending expressions to egg_math: (/ h0 (* h1 h1)) 0.018 * * [simplify]: iteration 0 : 6 enodes (cost 2 ) 0.019 * * [simplify]: iteration 1 : 6 enodes (cost 2 ) 0.019 * [simplify]: Simplified to: (/ x (* y y)) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.020 * * * * [pick]: Picked # 0.020 * * * [progress]: localizing error 0.023 * * * [progress]: generating rewritten candidates 0.024 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.032 * * * [progress]: generating series expansions 0.032 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.033 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.033 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.033 * [taylor]: Taking taylor expansion of x in y 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.033 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.034 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.039 * [taylor]: Taking taylor expansion of (/ (pow y 2) 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 in y 0.043 * [taylor]: Taking taylor expansion of (/ (pow y 2) 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 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (/ (pow y 2) 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 0.043 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [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 0.048 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.048 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.048 * [taylor]: Taking taylor expansion of -1 in y 0.048 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of x in y 0.048 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.048 * [taylor]: Taking taylor expansion of -1 in x 0.048 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.049 * [taylor]: Taking taylor expansion of -1 in x 0.049 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.049 * [taylor]: Taking taylor expansion of -1 in y 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.056 * * * [progress]: simplifying candidates 0.056 * [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))) (- 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)) 0.056 * [simplify]: Sending expressions to egg_math: (- (log h0) (+ (log h1) (log h1))) (- (log h0) (log (* h1 h1))) (log (/ h0 (* h1 h1))) (exp (/ h0 (* h1 h1))) (/ (* (* h0 h0) h0) (* (* (* h1 h1) h1) (* (* h1 h1) h1))) (/ (* (* h0 h0) h0) (* (* (* h1 h1) (* h1 h1)) (* h1 h1))) (* (cbrt (/ h0 (* h1 h1))) (cbrt (/ h0 (* h1 h1)))) (cbrt (/ h0 (* h1 h1))) (* (* (/ h0 (* h1 h1)) (/ h0 (* h1 h1))) (/ h0 (* h1 h1))) (sqrt (/ h0 (* h1 h1))) (sqrt (/ h0 (* h1 h1))) (- h0) (- (* h1 h1)) (/ (* (cbrt h0) (cbrt h0)) h1) (/ (cbrt h0) h1) (/ (sqrt h0) h1) (/ (sqrt h0) h1) (/ 1 h1) (/ h0 h1) (/ 1 (* h1 h1)) (/ (* h1 h1) h0) (/ h0 h1) (/ (* h1 h1) (cbrt h0)) (/ (* h1 h1) (sqrt h0)) (/ (* h1 h1) h0) (/ h0 (pow h1 2)) (/ h0 (pow h1 2)) (/ h0 (pow h1 2)) 0.059 * * [simplify]: iteration 0 : 99 enodes (cost 86 ) 0.062 * * [simplify]: iteration 1 : 320 enodes (cost 71 ) 0.066 * * [simplify]: iteration 2 : 952 enodes (cost 71 ) 0.084 * * [simplify]: iteration 3 : 4497 enodes (cost 71 ) 0.146 * * [simplify]: iteration 4 : 5002 enodes (cost 71 ) 0.147 * [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))) (- 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)) 0.147 * * * [progress]: adding candidates to table 0.179 * * [progress]: iteration 2 / 4 0.179 * * * [progress]: picking best candidate 0.187 * * * * [pick]: Picked # 0.187 * * * [progress]: localizing error 0.194 * * * [progress]: generating rewritten candidates 0.194 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.210 * * * [progress]: generating series expansions 0.210 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.210 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.210 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.210 * [taylor]: Taking taylor expansion of x in y 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.210 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.211 * [taylor]: Taking taylor expansion of y in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.211 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.211 * [taylor]: Taking taylor expansion of 0 in y 0.213 * [taylor]: Taking taylor expansion of 0 in y 0.214 * [taylor]: Taking taylor expansion of 0 in y 0.216 * [taylor]: Taking taylor expansion of 0 in y 0.217 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.217 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.217 * [taylor]: Taking taylor expansion of x in y 0.217 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.217 * [taylor]: Taking taylor expansion of y in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.217 * [taylor]: Taking taylor expansion of y in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.220 * [taylor]: Taking taylor expansion of 0 in y 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.222 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.222 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.222 * [taylor]: Taking taylor expansion of -1 in y 0.222 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.222 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.222 * [taylor]: Taking taylor expansion of y in y 0.222 * [taylor]: Taking taylor expansion of x in y 0.222 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.222 * [taylor]: Taking taylor expansion of -1 in x 0.222 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.222 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.222 * [taylor]: Taking taylor expansion of y in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.222 * [taylor]: Taking taylor expansion of -1 in x 0.222 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.222 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.222 * [taylor]: Taking taylor expansion of y in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.223 * [taylor]: Taking taylor expansion of -1 in y 0.223 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.224 * [taylor]: Taking taylor expansion of 0 in y 0.226 * [taylor]: Taking taylor expansion of 0 in y 0.229 * [taylor]: Taking taylor expansion of 0 in y 0.229 * * * [progress]: simplifying candidates 0.230 * [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)) (- (/ 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)) 0.231 * [simplify]: Sending expressions to egg_math: (- (- (log h0) (log h1)) (log h1)) (- (log (/ h0 h1)) (log h1)) (log (/ (/ h0 h1) h1)) (exp (/ (/ h0 h1) h1)) (/ (/ (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* h1 h1) h1)) (/ (* (* (/ h0 h1) (/ h0 h1)) (/ h0 h1)) (* (* h1 h1) h1)) (* (cbrt (/ (/ h0 h1) h1)) (cbrt (/ (/ h0 h1) h1))) (cbrt (/ (/ h0 h1) h1)) (* (* (/ (/ h0 h1) h1) (/ (/ h0 h1) h1)) (/ (/ h0 h1) h1)) (sqrt (/ (/ h0 h1) h1)) (sqrt (/ (/ h0 h1) h1)) (- (/ h0 h1)) (- h1) (/ (* (cbrt (/ h0 h1)) (cbrt (/ h0 h1))) (* (cbrt h1) (cbrt h1))) (/ (cbrt (/ h0 h1)) (cbrt h1)) (/ (* (cbrt (/ h0 h1)) (cbrt (/ h0 h1))) (sqrt h1)) (/ (cbrt (/ h0 h1)) (sqrt h1)) (/ (* (cbrt (/ h0 h1)) (cbrt (/ h0 h1))) 1) (/ (cbrt (/ h0 h1)) h1) (/ (sqrt (/ h0 h1)) (* (cbrt h1) (cbrt h1))) (/ (sqrt (/ h0 h1)) (cbrt h1)) (/ (sqrt (/ h0 h1)) (sqrt h1)) (/ (sqrt (/ h0 h1)) (sqrt h1)) (/ (sqrt (/ h0 h1)) 1) (/ (sqrt (/ h0 h1)) h1) (/ (/ (* (cbrt h0) (cbrt h0)) (* (cbrt h1) (cbrt h1))) (* (cbrt h1) (cbrt h1))) (/ (/ (cbrt h0) (cbrt h1)) (cbrt h1)) (/ (/ (* (cbrt h0) (cbrt h0)) (* (cbrt h1) (cbrt h1))) (sqrt h1)) (/ (/ (cbrt h0) (cbrt h1)) (sqrt h1)) (/ (/ (* (cbrt h0) (cbrt h0)) (* (cbrt h1) (cbrt h1))) 1) (/ (/ (cbrt h0) (cbrt h1)) h1) (/ (/ (* (cbrt h0) (cbrt h0)) (sqrt h1)) (* (cbrt h1) (cbrt h1))) (/ (/ (cbrt h0) (sqrt h1)) (cbrt h1)) (/ (/ (* (cbrt h0) (cbrt h0)) (sqrt h1)) (sqrt h1)) (/ (/ (cbrt h0) (sqrt h1)) (sqrt h1)) (/ (/ (* (cbrt h0) (cbrt h0)) (sqrt h1)) 1) (/ (/ (cbrt h0) (sqrt h1)) h1) (/ (/ (* (cbrt h0) (cbrt h0)) 1) (* (cbrt h1) (cbrt h1))) (/ (/ (cbrt h0) h1) (cbrt h1)) (/ (/ (* (cbrt h0) (cbrt h0)) 1) (sqrt h1)) (/ (/ (cbrt h0) h1) (sqrt h1)) (/ (/ (* (cbrt h0) (cbrt h0)) 1) 1) (/ (/ (cbrt h0) h1) h1) (/ (/ (sqrt h0) (* (cbrt h1) (cbrt h1))) (* (cbrt h1) (cbrt h1))) (/ (/ (sqrt h0) (cbrt h1)) (cbrt h1)) (/ (/ (sqrt h0) (* (cbrt h1) (cbrt h1))) (sqrt h1)) (/ (/ (sqrt h0) (cbrt h1)) (sqrt h1)) (/ (/ (sqrt h0) (* (cbrt h1) (cbrt h1))) 1) (/ (/ (sqrt h0) (cbrt h1)) h1) (/ (/ (sqrt h0) (sqrt h1)) (* (cbrt h1) (cbrt h1))) (/ (/ (sqrt h0) (sqrt h1)) (cbrt h1)) (/ (/ (sqrt h0) (sqrt h1)) (sqrt h1)) (/ (/ (sqrt h0) (sqrt h1)) (sqrt h1)) (/ (/ (sqrt h0) (sqrt h1)) 1) (/ (/ (sqrt h0) (sqrt h1)) h1) (/ (/ (sqrt h0) 1) (* (cbrt h1) (cbrt h1))) (/ (/ (sqrt h0) h1) (cbrt h1)) (/ (/ (sqrt h0) 1) (sqrt h1)) (/ (/ (sqrt h0) h1) (sqrt h1)) (/ (/ (sqrt h0) 1) 1) (/ (/ (sqrt h0) h1) h1) (/ (/ 1 (* (cbrt h1) (cbrt h1))) (* (cbrt h1) (cbrt h1))) (/ (/ h0 (cbrt h1)) (cbrt h1)) (/ (/ 1 (* (cbrt h1) (cbrt h1))) (sqrt h1)) (/ (/ h0 (cbrt h1)) (sqrt h1)) (/ (/ 1 (* (cbrt h1) (cbrt h1))) 1) (/ (/ h0 (cbrt h1)) h1) (/ (/ 1 (sqrt h1)) (* (cbrt h1) (cbrt h1))) (/ (/ h0 (sqrt h1)) (cbrt h1)) (/ (/ 1 (sqrt h1)) (sqrt h1)) (/ (/ h0 (sqrt h1)) (sqrt h1)) (/ (/ 1 (sqrt h1)) 1) (/ (/ h0 (sqrt h1)) h1) (/ (/ 1 1) (* (cbrt h1) (cbrt h1))) (/ (/ h0 h1) (cbrt h1)) (/ (/ 1 1) (sqrt h1)) (/ (/ h0 h1) (sqrt h1)) (/ (/ 1 1) 1) (/ (/ h0 h1) h1) (/ 1 (* (cbrt h1) (cbrt h1))) (/ (/ h0 h1) (cbrt h1)) (/ 1 (sqrt h1)) (/ (/ h0 h1) (sqrt h1)) (/ 1 1) (/ (/ h0 h1) h1) (/ h0 (* (cbrt h1) (cbrt h1))) (/ (/ 1 h1) (cbrt h1)) (/ h0 (sqrt h1)) (/ (/ 1 h1) (sqrt h1)) (/ h0 1) (/ (/ 1 h1) h1) (/ 1 h1) (/ h1 (/ h0 h1)) (/ (/ h0 h1) (* (cbrt h1) (cbrt h1))) (/ (/ h0 h1) (sqrt h1)) (/ (/ h0 h1) 1) (/ h1 (cbrt (/ h0 h1))) (/ h1 (sqrt (/ h0 h1))) (/ h1 (/ (cbrt h0) (cbrt h1))) (/ h1 (/ (cbrt h0) (sqrt h1))) (/ h1 (/ (cbrt h0) h1)) (/ h1 (/ (sqrt h0) (cbrt h1))) (/ h1 (/ (sqrt h0) (sqrt h1))) (/ h1 (/ (sqrt h0) h1)) (/ h1 (/ h0 (cbrt h1))) (/ h1 (/ h0 (sqrt h1))) (/ h1 (/ h0 h1)) (/ h1 (/ h0 h1)) (/ h1 (/ 1 h1)) (* h1 h1) (/ h0 (pow h1 2)) (/ h0 (pow h1 2)) (/ h0 (pow h1 2)) 0.235 * * [simplify]: iteration 0 : 311 enodes (cost 449 ) 0.240 * * [simplify]: iteration 1 : 1180 enodes (cost 415 ) 0.259 * * [simplify]: iteration 2 : 5001 enodes (cost 406 ) 0.261 * [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)) (- (/ 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) 0.261 * * * [progress]: adding candidates to table 0.376 * * [progress]: iteration 3 / 4 0.376 * * * [progress]: picking best candidate 0.389 * * * * [pick]: Picked # 0.389 * * * [progress]: localizing error 0.393 * * * [progress]: generating rewritten candidates 0.393 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.424 * * * [progress]: generating series expansions 0.424 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.424 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.424 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.424 * [taylor]: Taking taylor expansion of 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 0.425 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.425 * [taylor]: Taking taylor expansion of 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 (pow y 2)) in x 0.425 * [taylor]: Taking taylor expansion of 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 (/ 1 (pow y 2)) in y 0.425 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.425 * [taylor]: Taking taylor expansion of y in y 0.426 * [taylor]: Taking taylor expansion of 0 in y 0.427 * [taylor]: Taking taylor expansion of 0 in y 0.429 * [taylor]: Taking taylor expansion of 0 in y 0.431 * [taylor]: Taking taylor expansion of 0 in y 0.431 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.431 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.431 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.431 * [taylor]: Taking taylor expansion of y in y 0.431 * [taylor]: Taking taylor expansion of x in y 0.431 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.431 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.431 * [taylor]: Taking taylor expansion of y in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.432 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.432 * [taylor]: Taking taylor expansion of y in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.432 * [taylor]: Taking taylor expansion of y in y 0.433 * [taylor]: Taking taylor expansion of 0 in y 0.434 * [taylor]: Taking taylor expansion of 0 in y 0.436 * [taylor]: Taking taylor expansion of 0 in y 0.436 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.436 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.436 * [taylor]: Taking taylor expansion of -1 in y 0.436 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.436 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.436 * [taylor]: Taking taylor expansion of y in y 0.436 * [taylor]: Taking taylor expansion of x in y 0.437 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.437 * [taylor]: Taking taylor expansion of -1 in x 0.437 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.437 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.437 * [taylor]: Taking taylor expansion of y in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.437 * [taylor]: Taking taylor expansion of -1 in x 0.437 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.437 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.437 * [taylor]: Taking taylor expansion of y in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.437 * [taylor]: Taking taylor expansion of -1 in y 0.437 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.437 * [taylor]: Taking taylor expansion of y in y 0.438 * [taylor]: Taking taylor expansion of 0 in y 0.441 * [taylor]: Taking taylor expansion of 0 in y 0.444 * [taylor]: Taking taylor expansion of 0 in y 0.444 * * * [progress]: simplifying candidates 0.445 * [simplify]: Simplifying using # : (* (/ 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)) 0.445 * [simplify]: Sending expressions to egg_math: (* (/ h0 h1) (/ 1 h1)) (+ (- (log h0) (log h1)) (- (log h1))) (+ (- (log h0) (log h1)) (- 0 (log h1))) (+ (- (log h0) (log h1)) (- (log 1) (log h1))) (+ (- (log h0) (log h1)) (log (/ 1 h1))) (+ (log (/ h0 h1)) (- (log h1))) (+ (log (/ h0 h1)) (- 0 (log h1))) (+ (log (/ h0 h1)) (- (log 1) (log h1))) (+ (log (/ h0 h1)) (log (/ 1 h1))) (log (* (/ h0 h1) (/ 1 h1))) (exp (* (/ h0 h1) (/ 1 h1))) (* (/ (* (* h0 h0) h0) (* (* h1 h1) h1)) (/ (* (* 1 1) 1) (* (* h1 h1) h1))) (* (/ (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* (/ 1 h1) (/ 1 h1)) (/ 1 h1))) (* (* (* (/ h0 h1) (/ h0 h1)) (/ h0 h1)) (/ (* (* 1 1) 1) (* (* h1 h1) h1))) (* (* (* (/ h0 h1) (/ h0 h1)) (/ h0 h1)) (* (* (/ 1 h1) (/ 1 h1)) (/ 1 h1))) (* (cbrt (* (/ h0 h1) (/ 1 h1))) (cbrt (* (/ h0 h1) (/ 1 h1)))) (cbrt (* (/ h0 h1) (/ 1 h1))) (* (* (* (/ h0 h1) (/ 1 h1)) (* (/ h0 h1) (/ 1 h1))) (* (/ h0 h1) (/ 1 h1))) (sqrt (* (/ h0 h1) (/ 1 h1))) (sqrt (* (/ h0 h1) (/ 1 h1))) (* h0 1) (* h1 h1) (* (sqrt (/ h0 h1)) (sqrt (/ 1 h1))) (* (sqrt (/ h0 h1)) (sqrt (/ 1 h1))) (* (sqrt (/ h0 h1)) (/ (sqrt 1) (sqrt h1))) (* (sqrt (/ h0 h1)) (/ (sqrt 1) (sqrt h1))) (* (sqrt (/ h0 h1)) (/ 1 (sqrt h1))) (* (sqrt (/ h0 h1)) (/ 1 (sqrt h1))) (* (/ (sqrt h0) (sqrt h1)) (sqrt (/ 1 h1))) (* (/ (sqrt h0) (sqrt h1)) (sqrt (/ 1 h1))) (* (/ (sqrt h0) (sqrt h1)) (/ (sqrt 1) (sqrt h1))) (* (/ (sqrt h0) (sqrt h1)) (/ (sqrt 1) (sqrt h1))) (* (/ (sqrt h0) (sqrt h1)) (/ 1 (sqrt h1))) (* (/ (sqrt h0) (sqrt h1)) (/ 1 (sqrt h1))) (* (/ h0 h1) (* (cbrt (/ 1 h1)) (cbrt (/ 1 h1)))) (* (/ h0 h1) (sqrt (/ 1 h1))) (* (/ h0 h1) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt h1) (cbrt h1)))) (* (/ h0 h1) (/ (* (cbrt 1) (cbrt 1)) (sqrt h1))) (* (/ h0 h1) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (/ h0 h1) (/ (sqrt 1) (* (cbrt h1) (cbrt h1)))) (* (/ h0 h1) (/ (sqrt 1) (sqrt h1))) (* (/ h0 h1) (/ (sqrt 1) 1)) (* (/ h0 h1) (/ 1 (* (cbrt h1) (cbrt h1)))) (* (/ h0 h1) (/ 1 (sqrt h1))) (* (/ h0 h1) (/ 1 1)) (* (/ h0 h1) 1) (* (/ h0 h1) 1) (* (cbrt (/ h0 h1)) (/ 1 h1)) (* (sqrt (/ h0 h1)) (/ 1 h1)) (* (/ (cbrt h0) (cbrt h1)) (/ 1 h1)) (* (/ (cbrt h0) (sqrt h1)) (/ 1 h1)) (* (/ (cbrt h0) h1) (/ 1 h1)) (* (/ (sqrt h0) (cbrt h1)) (/ 1 h1)) (* (/ (sqrt h0) (sqrt h1)) (/ 1 h1)) (* (/ (sqrt h0) h1) (/ 1 h1)) (* (/ h0 (cbrt h1)) (/ 1 h1)) (* (/ h0 (sqrt h1)) (/ 1 h1)) (* (/ h0 h1) (/ 1 h1)) (* (/ h0 h1) (/ 1 h1)) (* (/ 1 h1) (/ 1 h1)) (* (/ h0 h1) 1) (* h0 (/ 1 h1)) (/ h0 (pow h1 2)) (/ h0 (pow h1 2)) (/ h0 (pow h1 2)) 0.449 * * [simplify]: iteration 0 : 327 enodes (cost 300 ) 0.455 * * [simplify]: iteration 1 : 1578 enodes (cost 253 ) 0.484 * * [simplify]: iteration 2 : 5001 enodes (cost 219 ) 0.486 * [simplify]: Simplified to: (/ (/ 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) 0.486 * * * [progress]: adding candidates to table 0.581 * * [progress]: iteration 4 / 4 0.581 * * * [progress]: picking best candidate 0.593 * * * * [pick]: Picked # 0.593 * * * [progress]: localizing error 0.601 * * * [progress]: generating rewritten candidates 0.601 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.603 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.606 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.609 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.646 * * * [progress]: generating series expansions 0.646 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.646 * [approximate]: Taking taylor expansion of (pow (/ x y) 1/3) in (x y) around 0 0.646 * [taylor]: Taking taylor expansion of (pow (/ x y) 1/3) in y 0.646 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x y)))) in y 0.646 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x y))) in y 0.646 * [taylor]: Taking taylor expansion of 1/3 in y 0.646 * [taylor]: Taking taylor expansion of (log (/ x y)) in y 0.646 * [taylor]: Taking taylor expansion of (/ x y) in y 0.646 * [taylor]: Taking taylor expansion of x in y 0.646 * [taylor]: Taking taylor expansion of y in y 0.647 * [taylor]: Taking taylor expansion of (pow (/ x y) 1/3) in x 0.647 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x y)))) in x 0.647 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x y))) in x 0.647 * [taylor]: Taking taylor expansion of 1/3 in x 0.647 * [taylor]: Taking taylor expansion of (log (/ x y)) in x 0.647 * [taylor]: Taking taylor expansion of (/ x y) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [taylor]: Taking taylor expansion of y in x 0.647 * [taylor]: Taking taylor expansion of (pow (/ x y) 1/3) in x 0.647 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x y)))) in x 0.647 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x y))) in x 0.647 * [taylor]: Taking taylor expansion of 1/3 in x 0.647 * [taylor]: Taking taylor expansion of (log (/ x y)) in x 0.647 * [taylor]: Taking taylor expansion of (/ x y) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [taylor]: Taking taylor expansion of y in x 0.648 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.648 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.648 * [taylor]: Taking taylor expansion of 1/3 in y 0.648 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.648 * [taylor]: Taking taylor expansion of (log x) in y 0.648 * [taylor]: Taking taylor expansion of x in y 0.648 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.648 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.651 * [taylor]: Taking taylor expansion of 0 in y 0.656 * [taylor]: Taking taylor expansion of 0 in y 0.664 * [taylor]: Taking taylor expansion of 0 in y 0.664 * [approximate]: Taking taylor expansion of (pow (/ y x) 1/3) in (x y) around 0 0.664 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in y 0.664 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in y 0.664 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in y 0.664 * [taylor]: Taking taylor expansion of 1/3 in y 0.664 * [taylor]: Taking taylor expansion of (log (/ y x)) in y 0.665 * [taylor]: Taking taylor expansion of (/ y x) in y 0.665 * [taylor]: Taking taylor expansion of y in y 0.665 * [taylor]: Taking taylor expansion of x in y 0.665 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.665 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.665 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.665 * [taylor]: Taking taylor expansion of 1/3 in x 0.665 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.665 * [taylor]: Taking taylor expansion of (/ y x) in x 0.665 * [taylor]: Taking taylor expansion of y in x 0.665 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.666 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.666 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.666 * [taylor]: Taking taylor expansion of 1/3 in x 0.666 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.666 * [taylor]: Taking taylor expansion of (/ y x) in x 0.666 * [taylor]: Taking taylor expansion of y in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log y) (log x)))) in y 0.666 * [taylor]: Taking taylor expansion of (* 1/3 (- (log y) (log x))) in y 0.666 * [taylor]: Taking taylor expansion of 1/3 in y 0.666 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in y 0.666 * [taylor]: Taking taylor expansion of (log y) in y 0.666 * [taylor]: Taking taylor expansion of y in y 0.667 * [taylor]: Taking taylor expansion of (log x) in y 0.667 * [taylor]: Taking taylor expansion of x in y 0.669 * [taylor]: Taking taylor expansion of 0 in y 0.675 * [taylor]: Taking taylor expansion of 0 in y 0.683 * [taylor]: Taking taylor expansion of 0 in y 0.683 * [approximate]: Taking taylor expansion of (pow (/ y x) 1/3) in (x y) around 0 0.683 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in y 0.683 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in y 0.683 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in y 0.683 * [taylor]: Taking taylor expansion of 1/3 in y 0.683 * [taylor]: Taking taylor expansion of (log (/ y x)) in y 0.683 * [taylor]: Taking taylor expansion of (/ y x) in y 0.683 * [taylor]: Taking taylor expansion of y in y 0.683 * [taylor]: Taking taylor expansion of x in y 0.684 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.684 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.684 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.684 * [taylor]: Taking taylor expansion of 1/3 in x 0.684 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.684 * [taylor]: Taking taylor expansion of (/ y x) in x 0.684 * [taylor]: Taking taylor expansion of y in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.684 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.684 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.684 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.684 * [taylor]: Taking taylor expansion of 1/3 in x 0.684 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.684 * [taylor]: Taking taylor expansion of (/ y x) in x 0.684 * [taylor]: Taking taylor expansion of y in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.685 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log y) (log x)))) in y 0.685 * [taylor]: Taking taylor expansion of (* 1/3 (- (log y) (log x))) in y 0.685 * [taylor]: Taking taylor expansion of 1/3 in y 0.685 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in y 0.685 * [taylor]: Taking taylor expansion of (log y) in y 0.685 * [taylor]: Taking taylor expansion of y in y 0.685 * [taylor]: Taking taylor expansion of (log x) in y 0.685 * [taylor]: Taking taylor expansion of x in y 0.688 * [taylor]: Taking taylor expansion of 0 in y 0.693 * [taylor]: Taking taylor expansion of 0 in y 0.701 * [taylor]: Taking taylor expansion of 0 in y 0.702 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.702 * [approximate]: Taking taylor expansion of (pow (/ x y) 1/3) in (x y) around 0 0.702 * [taylor]: Taking taylor expansion of (pow (/ x y) 1/3) in y 0.702 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x y)))) in y 0.702 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x y))) in y 0.702 * [taylor]: Taking taylor expansion of 1/3 in y 0.702 * [taylor]: Taking taylor expansion of (log (/ x y)) in y 0.702 * [taylor]: Taking taylor expansion of (/ x y) in y 0.702 * [taylor]: Taking taylor expansion of x in y 0.702 * [taylor]: Taking taylor expansion of y in y 0.702 * [taylor]: Taking taylor expansion of (pow (/ x y) 1/3) in x 0.702 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x y)))) in x 0.702 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x y))) in x 0.702 * [taylor]: Taking taylor expansion of 1/3 in x 0.702 * [taylor]: Taking taylor expansion of (log (/ x y)) in x 0.702 * [taylor]: Taking taylor expansion of (/ x y) in x 0.702 * [taylor]: Taking taylor expansion of x in x 0.703 * [taylor]: Taking taylor expansion of y in x 0.703 * [taylor]: Taking taylor expansion of (pow (/ x y) 1/3) in x 0.703 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x y)))) in x 0.703 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x y))) in x 0.703 * [taylor]: Taking taylor expansion of 1/3 in x 0.703 * [taylor]: Taking taylor expansion of (log (/ x y)) in x 0.703 * [taylor]: Taking taylor expansion of (/ x y) in x 0.703 * [taylor]: Taking taylor expansion of x in x 0.703 * [taylor]: Taking taylor expansion of y in x 0.704 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.704 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.704 * [taylor]: Taking taylor expansion of 1/3 in y 0.704 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.704 * [taylor]: Taking taylor expansion of (log x) in y 0.704 * [taylor]: Taking taylor expansion of x in y 0.704 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.704 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.704 * [taylor]: Taking taylor expansion of y in y 0.706 * [taylor]: Taking taylor expansion of 0 in y 0.711 * [taylor]: Taking taylor expansion of 0 in y 0.725 * [taylor]: Taking taylor expansion of 0 in y 0.725 * [approximate]: Taking taylor expansion of (pow (/ y x) 1/3) in (x y) around 0 0.725 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in y 0.725 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in y 0.725 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in y 0.725 * [taylor]: Taking taylor expansion of 1/3 in y 0.725 * [taylor]: Taking taylor expansion of (log (/ y x)) in y 0.725 * [taylor]: Taking taylor expansion of (/ y x) in y 0.725 * [taylor]: Taking taylor expansion of y in y 0.725 * [taylor]: Taking taylor expansion of x in y 0.726 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.726 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.726 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.726 * [taylor]: Taking taylor expansion of 1/3 in x 0.726 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.726 * [taylor]: Taking taylor expansion of (/ y x) in x 0.726 * [taylor]: Taking taylor expansion of y in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.726 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.727 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.727 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.727 * [taylor]: Taking taylor expansion of 1/3 in x 0.727 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.727 * [taylor]: Taking taylor expansion of (/ y x) in x 0.727 * [taylor]: Taking taylor expansion of y in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log y) (log x)))) in y 0.727 * [taylor]: Taking taylor expansion of (* 1/3 (- (log y) (log x))) in y 0.727 * [taylor]: Taking taylor expansion of 1/3 in y 0.727 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in y 0.727 * [taylor]: Taking taylor expansion of (log y) in y 0.727 * [taylor]: Taking taylor expansion of y in y 0.727 * [taylor]: Taking taylor expansion of (log x) in y 0.727 * [taylor]: Taking taylor expansion of x in y 0.730 * [taylor]: Taking taylor expansion of 0 in y 0.735 * [taylor]: Taking taylor expansion of 0 in y 0.744 * [taylor]: Taking taylor expansion of 0 in y 0.744 * [approximate]: Taking taylor expansion of (pow (/ y x) 1/3) in (x y) around 0 0.744 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in y 0.744 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in y 0.744 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in y 0.744 * [taylor]: Taking taylor expansion of 1/3 in y 0.744 * [taylor]: Taking taylor expansion of (log (/ y x)) in y 0.744 * [taylor]: Taking taylor expansion of (/ y x) in y 0.744 * [taylor]: Taking taylor expansion of y in y 0.744 * [taylor]: Taking taylor expansion of x in y 0.745 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.745 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.745 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.745 * [taylor]: Taking taylor expansion of 1/3 in x 0.745 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.745 * [taylor]: Taking taylor expansion of (/ y x) in x 0.745 * [taylor]: Taking taylor expansion of y in x 0.745 * [taylor]: Taking taylor expansion of x in x 0.745 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.746 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.746 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.746 * [taylor]: Taking taylor expansion of 1/3 in x 0.746 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.746 * [taylor]: Taking taylor expansion of (/ y x) in x 0.746 * [taylor]: Taking taylor expansion of y in x 0.746 * [taylor]: Taking taylor expansion of x in x 0.746 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log y) (log x)))) in y 0.746 * [taylor]: Taking taylor expansion of (* 1/3 (- (log y) (log x))) in y 0.746 * [taylor]: Taking taylor expansion of 1/3 in y 0.746 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in y 0.746 * [taylor]: Taking taylor expansion of (log y) in y 0.746 * [taylor]: Taking taylor expansion of y in y 0.747 * [taylor]: Taking taylor expansion of (log x) in y 0.747 * [taylor]: Taking taylor expansion of x in y 0.749 * [taylor]: Taking taylor expansion of 0 in y 0.755 * [taylor]: Taking taylor expansion of 0 in y 0.763 * [taylor]: Taking taylor expansion of 0 in y 0.763 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.763 * [approximate]: Taking taylor expansion of (pow (/ x y) 1/3) in (x y) around 0 0.763 * [taylor]: Taking taylor expansion of (pow (/ x y) 1/3) in y 0.763 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x y)))) in y 0.763 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x y))) in y 0.763 * [taylor]: Taking taylor expansion of 1/3 in y 0.763 * [taylor]: Taking taylor expansion of (log (/ x y)) in y 0.763 * [taylor]: Taking taylor expansion of (/ x y) in y 0.763 * [taylor]: Taking taylor expansion of x in y 0.763 * [taylor]: Taking taylor expansion of y in y 0.764 * [taylor]: Taking taylor expansion of (pow (/ x y) 1/3) in x 0.764 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x y)))) in x 0.764 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x y))) in x 0.764 * [taylor]: Taking taylor expansion of 1/3 in x 0.764 * [taylor]: Taking taylor expansion of (log (/ x y)) in x 0.764 * [taylor]: Taking taylor expansion of (/ x y) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.764 * [taylor]: Taking taylor expansion of y in x 0.764 * [taylor]: Taking taylor expansion of (pow (/ x y) 1/3) in x 0.764 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x y)))) in x 0.764 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x y))) in x 0.764 * [taylor]: Taking taylor expansion of 1/3 in x 0.764 * [taylor]: Taking taylor expansion of (log (/ x y)) in x 0.765 * [taylor]: Taking taylor expansion of (/ x y) in x 0.765 * [taylor]: Taking taylor expansion of x in x 0.765 * [taylor]: Taking taylor expansion of y in x 0.765 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.765 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.765 * [taylor]: Taking taylor expansion of 1/3 in y 0.765 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.765 * [taylor]: Taking taylor expansion of (log x) in y 0.765 * [taylor]: Taking taylor expansion of x in y 0.765 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.765 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.765 * [taylor]: Taking taylor expansion of y in y 0.768 * [taylor]: Taking taylor expansion of 0 in y 0.773 * [taylor]: Taking taylor expansion of 0 in y 0.780 * [taylor]: Taking taylor expansion of 0 in y 0.781 * [approximate]: Taking taylor expansion of (pow (/ y x) 1/3) in (x y) around 0 0.781 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in y 0.781 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in y 0.781 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in y 0.781 * [taylor]: Taking taylor expansion of 1/3 in y 0.781 * [taylor]: Taking taylor expansion of (log (/ y x)) in y 0.781 * [taylor]: Taking taylor expansion of (/ y x) in y 0.781 * [taylor]: Taking taylor expansion of y in y 0.781 * [taylor]: Taking taylor expansion of x in y 0.781 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.781 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.781 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.781 * [taylor]: Taking taylor expansion of 1/3 in x 0.781 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.781 * [taylor]: Taking taylor expansion of (/ y x) in x 0.781 * [taylor]: Taking taylor expansion of y in x 0.781 * [taylor]: Taking taylor expansion of x in x 0.782 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.782 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.782 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.782 * [taylor]: Taking taylor expansion of 1/3 in x 0.782 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.782 * [taylor]: Taking taylor expansion of (/ y x) in x 0.782 * [taylor]: Taking taylor expansion of y in x 0.782 * [taylor]: Taking taylor expansion of x in x 0.782 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log y) (log x)))) in y 0.782 * [taylor]: Taking taylor expansion of (* 1/3 (- (log y) (log x))) in y 0.782 * [taylor]: Taking taylor expansion of 1/3 in y 0.783 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in y 0.783 * [taylor]: Taking taylor expansion of (log y) in y 0.783 * [taylor]: Taking taylor expansion of y in y 0.783 * [taylor]: Taking taylor expansion of (log x) in y 0.783 * [taylor]: Taking taylor expansion of x in y 0.785 * [taylor]: Taking taylor expansion of 0 in y 0.791 * [taylor]: Taking taylor expansion of 0 in y 0.799 * [taylor]: Taking taylor expansion of 0 in y 0.800 * [approximate]: Taking taylor expansion of (pow (/ y x) 1/3) in (x y) around 0 0.800 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in y 0.800 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in y 0.800 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in y 0.800 * [taylor]: Taking taylor expansion of 1/3 in y 0.800 * [taylor]: Taking taylor expansion of (log (/ y x)) in y 0.800 * [taylor]: Taking taylor expansion of (/ y x) in y 0.800 * [taylor]: Taking taylor expansion of y in y 0.800 * [taylor]: Taking taylor expansion of x in y 0.800 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.800 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.800 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.800 * [taylor]: Taking taylor expansion of 1/3 in x 0.800 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.800 * [taylor]: Taking taylor expansion of (/ y x) in x 0.800 * [taylor]: Taking taylor expansion of y in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.801 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.801 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.801 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.801 * [taylor]: Taking taylor expansion of 1/3 in x 0.801 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.801 * [taylor]: Taking taylor expansion of (/ y x) in x 0.801 * [taylor]: Taking taylor expansion of y in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.801 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log y) (log x)))) in y 0.801 * [taylor]: Taking taylor expansion of (* 1/3 (- (log y) (log x))) in y 0.801 * [taylor]: Taking taylor expansion of 1/3 in y 0.801 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in y 0.801 * [taylor]: Taking taylor expansion of (log y) in y 0.801 * [taylor]: Taking taylor expansion of y in y 0.802 * [taylor]: Taking taylor expansion of (log x) in y 0.802 * [taylor]: Taking taylor expansion of x in y 0.804 * [taylor]: Taking taylor expansion of 0 in y 0.816 * [taylor]: Taking taylor expansion of 0 in y 0.824 * [taylor]: Taking taylor expansion of 0 in y 0.824 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.825 * [approximate]: Taking taylor expansion of (pow (/ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 0.825 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow y 2)) 1/3) in y 0.825 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow y 2))))) in y 0.825 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow y 2)))) in y 0.825 * [taylor]: Taking taylor expansion of 1/3 in y 0.825 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow y 2))) in y 0.825 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in y 0.825 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.825 * [taylor]: Taking taylor expansion of x in y 0.825 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.825 * [taylor]: Taking taylor expansion of y in y 0.826 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow y 2)) 1/3) in x 0.826 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow y 2))))) in x 0.826 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow y 2)))) in x 0.826 * [taylor]: Taking taylor expansion of 1/3 in x 0.826 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow y 2))) in x 0.826 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in x 0.826 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.826 * [taylor]: Taking taylor expansion of x in x 0.826 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.826 * [taylor]: Taking taylor expansion of y in x 0.827 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow y 2)) 1/3) in x 0.827 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow y 2))))) in x 0.827 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow y 2)))) in x 0.827 * [taylor]: Taking taylor expansion of 1/3 in x 0.827 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow y 2))) in x 0.827 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in x 0.827 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.827 * [taylor]: Taking taylor expansion of x in x 0.827 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.827 * [taylor]: Taking taylor expansion of y in x 0.828 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) in y 0.828 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2))))) in y 0.828 * [taylor]: Taking taylor expansion of 1/3 in y 0.828 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log (/ 1 (pow y 2)))) in y 0.828 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.828 * [taylor]: Taking taylor expansion of 2 in y 0.828 * [taylor]: Taking taylor expansion of (log x) in y 0.828 * [taylor]: Taking taylor expansion of x in y 0.828 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.828 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.828 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.828 * [taylor]: Taking taylor expansion of y in y 0.832 * [taylor]: Taking taylor expansion of 0 in y 0.839 * [taylor]: Taking taylor expansion of 0 in y 0.849 * [taylor]: Taking taylor expansion of 0 in y 0.849 * [approximate]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in (x y) around 0 0.849 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in y 0.849 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in y 0.849 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in y 0.850 * [taylor]: Taking taylor expansion of 1/3 in y 0.850 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in y 0.850 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 0.850 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.850 * [taylor]: Taking taylor expansion of y in y 0.850 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.850 * [taylor]: Taking taylor expansion of x in y 0.851 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in x 0.851 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in x 0.851 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in x 0.851 * [taylor]: Taking taylor expansion of 1/3 in x 0.851 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in x 0.851 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.851 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.851 * [taylor]: Taking taylor expansion of y in x 0.851 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.851 * [taylor]: Taking taylor expansion of x in x 0.852 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in x 0.852 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in x 0.852 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in x 0.852 * [taylor]: Taking taylor expansion of 1/3 in x 0.852 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in x 0.852 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.852 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.852 * [taylor]: Taking taylor expansion of y in x 0.852 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.852 * [taylor]: Taking taylor expansion of x in x 0.853 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow y 2)) (* 2 (log x))))) in y 0.853 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow y 2)) (* 2 (log x)))) in y 0.853 * [taylor]: Taking taylor expansion of 1/3 in y 0.853 * [taylor]: Taking taylor expansion of (- (log (pow y 2)) (* 2 (log x))) in y 0.853 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.853 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.853 * [taylor]: Taking taylor expansion of y in y 0.853 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.853 * [taylor]: Taking taylor expansion of 2 in y 0.853 * [taylor]: Taking taylor expansion of (log x) in y 0.853 * [taylor]: Taking taylor expansion of x in y 0.857 * [taylor]: Taking taylor expansion of 0 in y 0.864 * [taylor]: Taking taylor expansion of 0 in y 0.874 * [taylor]: Taking taylor expansion of 0 in y 0.874 * [approximate]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in (x y) around 0 0.874 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in y 0.874 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in y 0.874 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in y 0.874 * [taylor]: Taking taylor expansion of 1/3 in y 0.874 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in y 0.874 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 0.874 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.874 * [taylor]: Taking taylor expansion of y in y 0.874 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.875 * [taylor]: Taking taylor expansion of x in y 0.875 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in x 0.876 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in x 0.876 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in x 0.876 * [taylor]: Taking taylor expansion of 1/3 in x 0.876 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in x 0.876 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.876 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.876 * [taylor]: Taking taylor expansion of y in x 0.876 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in x 0.877 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in x 0.877 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in x 0.877 * [taylor]: Taking taylor expansion of 1/3 in x 0.877 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in x 0.877 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.877 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.877 * [taylor]: Taking taylor expansion of y in x 0.877 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.878 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow y 2)) (* 2 (log x))))) in y 0.878 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow y 2)) (* 2 (log x)))) in y 0.878 * [taylor]: Taking taylor expansion of 1/3 in y 0.878 * [taylor]: Taking taylor expansion of (- (log (pow y 2)) (* 2 (log x))) in y 0.878 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.878 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.878 * [taylor]: Taking taylor expansion of y in y 0.878 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.878 * [taylor]: Taking taylor expansion of 2 in y 0.878 * [taylor]: Taking taylor expansion of (log x) in y 0.878 * [taylor]: Taking taylor expansion of x in y 0.881 * [taylor]: Taking taylor expansion of 0 in y 0.888 * [taylor]: Taking taylor expansion of 0 in y 0.904 * [taylor]: Taking taylor expansion of 0 in y 0.905 * * * [progress]: simplifying candidates 0.907 * [simplify]: Simplifying using # : (log (cbrt (/ x y))) (exp (cbrt (/ x y))) (cbrt (* (cbrt (/ x y)) (cbrt (/ x y)))) (cbrt (cbrt (/ x y))) (cbrt (sqrt (/ x y))) (cbrt (sqrt (/ x y))) (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (cbrt (/ (cbrt x) (cbrt y))) (cbrt (/ (* (cbrt x) (cbrt x)) (sqrt y))) (cbrt (/ (cbrt x) (sqrt y))) (cbrt (/ (* (cbrt x) (cbrt x)) 1)) (cbrt (/ (cbrt x) y)) (cbrt (/ (sqrt x) (* (cbrt y) (cbrt y)))) (cbrt (/ (sqrt x) (cbrt y))) (cbrt (/ (sqrt x) (sqrt y))) (cbrt (/ (sqrt x) (sqrt y))) (cbrt (/ (sqrt x) 1)) (cbrt (/ (sqrt x) y)) (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (cbrt (/ x (cbrt y))) (cbrt (/ 1 (sqrt y))) (cbrt (/ x (sqrt y))) (cbrt (/ 1 1)) (cbrt (/ x y)) (cbrt 1) (cbrt (/ x y)) (cbrt x) (cbrt (/ 1 y)) (cbrt x) (cbrt y) (* (cbrt (cbrt (/ x y))) (cbrt (cbrt (/ x y)))) (cbrt (cbrt (/ x y))) (* (* (cbrt (/ x y)) (cbrt (/ x y))) (cbrt (/ x y))) (sqrt (cbrt (/ x y))) (sqrt (cbrt (/ x y))) (log (cbrt (/ x y))) (exp (cbrt (/ x y))) (cbrt (* (cbrt (/ x y)) (cbrt (/ x y)))) (cbrt (cbrt (/ x y))) (cbrt (sqrt (/ x y))) (cbrt (sqrt (/ x y))) (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (cbrt (/ (cbrt x) (cbrt y))) (cbrt (/ (* (cbrt x) (cbrt x)) (sqrt y))) (cbrt (/ (cbrt x) (sqrt y))) (cbrt (/ (* (cbrt x) (cbrt x)) 1)) (cbrt (/ (cbrt x) y)) (cbrt (/ (sqrt x) (* (cbrt y) (cbrt y)))) (cbrt (/ (sqrt x) (cbrt y))) (cbrt (/ (sqrt x) (sqrt y))) (cbrt (/ (sqrt x) (sqrt y))) (cbrt (/ (sqrt x) 1)) (cbrt (/ (sqrt x) y)) (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (cbrt (/ x (cbrt y))) (cbrt (/ 1 (sqrt y))) (cbrt (/ x (sqrt y))) (cbrt (/ 1 1)) (cbrt (/ x y)) (cbrt 1) (cbrt (/ x y)) (cbrt x) (cbrt (/ 1 y)) (cbrt x) (cbrt y) (* (cbrt (cbrt (/ x y))) (cbrt (cbrt (/ x y)))) (cbrt (cbrt (/ x y))) (* (* (cbrt (/ x y)) (cbrt (/ x y))) (cbrt (/ x y))) (sqrt (cbrt (/ x y))) (sqrt (cbrt (/ x y))) (log (cbrt (/ x y))) (exp (cbrt (/ x y))) (cbrt (* (cbrt (/ x y)) (cbrt (/ x y)))) (cbrt (cbrt (/ x y))) (cbrt (sqrt (/ x y))) (cbrt (sqrt (/ x y))) (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (cbrt (/ (cbrt x) (cbrt y))) (cbrt (/ (* (cbrt x) (cbrt x)) (sqrt y))) (cbrt (/ (cbrt x) (sqrt y))) (cbrt (/ (* (cbrt x) (cbrt x)) 1)) (cbrt (/ (cbrt x) y)) (cbrt (/ (sqrt x) (* (cbrt y) (cbrt y)))) (cbrt (/ (sqrt x) (cbrt y))) (cbrt (/ (sqrt x) (sqrt y))) (cbrt (/ (sqrt x) (sqrt y))) (cbrt (/ (sqrt x) 1)) (cbrt (/ (sqrt x) y)) (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (cbrt (/ x (cbrt y))) (cbrt (/ 1 (sqrt y))) (cbrt (/ x (sqrt y))) (cbrt (/ 1 1)) (cbrt (/ x y)) (cbrt 1) (cbrt (/ x y)) (cbrt x) (cbrt (/ 1 y)) (cbrt x) (cbrt y) (* (cbrt (cbrt (/ x y))) (cbrt (cbrt (/ x y)))) (cbrt (cbrt (/ x y))) (* (* (cbrt (/ x y)) (cbrt (/ x y))) (cbrt (/ x y))) (sqrt (cbrt (/ x y))) (sqrt (cbrt (/ x y))) (+ 1/3 1/3) (+ 1 1) (* (/ x y) (/ x y)) (* (cbrt (/ x y)) (cbrt (/ x y))) (+ 1 1) (+ (log (cbrt (/ x y))) (log (cbrt (/ x y)))) (log (* (cbrt (/ x y)) (cbrt (/ x y)))) (exp (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (/ x y) (/ x y)) (* (cbrt (* (cbrt (/ x y)) (cbrt (/ x y)))) (cbrt (* (cbrt (/ x y)) (cbrt (/ x y))))) (cbrt (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (cbrt (/ x y)) (cbrt (/ x y)))) (sqrt (* (cbrt (/ x y)) (cbrt (/ x y)))) (sqrt (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)) (* (cbrt (* (cbrt (/ x y)) (cbrt (/ x y)))) (cbrt (* (cbrt (/ x y)) (cbrt (/ x y))))) (* (cbrt (cbrt (/ x y))) (cbrt (cbrt (/ x y)))) (* (cbrt (sqrt (/ x y))) (cbrt (sqrt (/ x y)))) (* (cbrt (sqrt (/ x y))) (cbrt (sqrt (/ x y)))) (* (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (* (cbrt (/ (cbrt x) (cbrt y))) (cbrt (/ (cbrt x) (cbrt y)))) (* (cbrt (/ (* (cbrt x) (cbrt x)) (sqrt y))) (cbrt (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (* (cbrt (/ (cbrt x) (sqrt y))) (cbrt (/ (cbrt x) (sqrt y)))) (* (cbrt (/ (* (cbrt x) (cbrt x)) 1)) (cbrt (/ (* (cbrt x) (cbrt x)) 1))) (* (cbrt (/ (cbrt x) y)) (cbrt (/ (cbrt x) y))) (* (cbrt (/ (sqrt x) (* (cbrt y) (cbrt y)))) (cbrt (/ (sqrt x) (* (cbrt y) (cbrt y))))) (* (cbrt (/ (sqrt x) (cbrt y))) (cbrt (/ (sqrt x) (cbrt y)))) (* (cbrt (/ (sqrt x) (sqrt y))) (cbrt (/ (sqrt x) (sqrt y)))) (* (cbrt (/ (sqrt x) (sqrt y))) (cbrt (/ (sqrt x) (sqrt y)))) (* (cbrt (/ (sqrt x) 1)) (cbrt (/ (sqrt x) 1))) (* (cbrt (/ (sqrt x) y)) (cbrt (/ (sqrt x) y))) (* (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (cbrt (/ 1 (* (cbrt y) (cbrt y))))) (* (cbrt (/ x (cbrt y))) (cbrt (/ x (cbrt y)))) (* (cbrt (/ 1 (sqrt y))) (cbrt (/ 1 (sqrt y)))) (* (cbrt (/ x (sqrt y))) (cbrt (/ x (sqrt y)))) (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt 1) (cbrt 1)) (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt x) (cbrt x)) (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (* (* (cbrt (cbrt (/ x y))) (cbrt (cbrt (/ x y)))) (* (cbrt (cbrt (/ x y))) (cbrt (cbrt (/ x y))))) (* (cbrt (cbrt (/ x y))) (cbrt (cbrt (/ x y)))) (* (sqrt (cbrt (/ x y))) (sqrt (cbrt (/ x y)))) (* (sqrt (cbrt (/ x y))) (sqrt (cbrt (/ x y)))) (* 1 1) (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (sqrt (/ x y))) (cbrt (sqrt (/ x y)))) (* (cbrt (sqrt (/ x y))) (cbrt (sqrt (/ x y)))) (* (cbrt (sqrt (/ x y))) (cbrt (/ (sqrt x) (sqrt y)))) (* (cbrt (sqrt (/ x y))) (cbrt (/ (sqrt x) (sqrt y)))) (* (cbrt (sqrt (/ x y))) (sqrt (cbrt (/ x y)))) (* (cbrt (sqrt (/ x y))) (sqrt (cbrt (/ x y)))) (* (cbrt (/ (sqrt x) (sqrt y))) (cbrt (sqrt (/ x y)))) (* (cbrt (/ (sqrt x) (sqrt y))) (cbrt (sqrt (/ x y)))) (* (cbrt (/ (sqrt x) (sqrt y))) (cbrt (/ (sqrt x) (sqrt y)))) (* (cbrt (/ (sqrt x) (sqrt y))) (cbrt (/ (sqrt x) (sqrt y)))) (* (cbrt (/ (sqrt x) (sqrt y))) (sqrt (cbrt (/ x y)))) (* (cbrt (/ (sqrt x) (sqrt y))) (sqrt (cbrt (/ x y)))) (* (sqrt (cbrt (/ x y))) (cbrt (sqrt (/ x y)))) (* (sqrt (cbrt (/ x y))) (cbrt (sqrt (/ x y)))) (* (sqrt (cbrt (/ x y))) (cbrt (/ (sqrt x) (sqrt y)))) (* (sqrt (cbrt (/ x y))) (cbrt (/ (sqrt x) (sqrt y)))) (* (sqrt (cbrt (/ x y))) (sqrt (cbrt (/ x y)))) (* (sqrt (cbrt (/ x y))) (sqrt (cbrt (/ x y)))) (* 2 1/3) (* 2 1) (* (cbrt (/ x y)) (cbrt (* (cbrt (/ x y)) (cbrt (/ x y))))) (* (cbrt (/ x y)) (cbrt (sqrt (/ x y)))) (* (cbrt (/ x y)) (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (* (cbrt (/ x y)) (cbrt (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (* (cbrt (/ x y)) (cbrt (/ (* (cbrt x) (cbrt x)) 1))) (* (cbrt (/ x y)) (cbrt (/ (sqrt x) (* (cbrt y) (cbrt y))))) (* (cbrt (/ x y)) (cbrt (/ (sqrt x) (sqrt y)))) (* (cbrt (/ x y)) (cbrt (/ (sqrt x) 1))) (* (cbrt (/ x y)) (cbrt (/ 1 (* (cbrt y) (cbrt y))))) (* (cbrt (/ x y)) (cbrt (/ 1 (sqrt y)))) (* (cbrt (/ x y)) (cbrt (/ 1 1))) (* (cbrt (/ x y)) (cbrt 1)) (* (cbrt (/ x y)) (cbrt x)) (* (cbrt (/ x y)) (* (cbrt (cbrt (/ x y))) (cbrt (cbrt (/ x y))))) (* (cbrt (/ x y)) (sqrt (cbrt (/ x y)))) (* (cbrt (/ x y)) 1) (* (cbrt (cbrt (/ x y))) (cbrt (/ x y))) (* (cbrt (sqrt (/ x y))) (cbrt (/ x y))) (* (cbrt (/ (cbrt x) (cbrt y))) (cbrt (/ x y))) (* (cbrt (/ (cbrt x) (sqrt y))) (cbrt (/ x y))) (* (cbrt (/ (cbrt x) y)) (cbrt (/ x y))) (* (cbrt (/ (sqrt x) (cbrt y))) (cbrt (/ x y))) (* (cbrt (/ (sqrt x) (sqrt y))) (cbrt (/ x y))) (* (cbrt (/ (sqrt x) y)) (cbrt (/ x y))) (* (cbrt (/ x (cbrt y))) (cbrt (/ x y))) (* (cbrt (/ x (sqrt y))) (cbrt (/ x y))) (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ 1 y)) (cbrt (/ x y))) (* (cbrt (cbrt (/ x y))) (cbrt (/ x y))) (* (sqrt (cbrt (/ x y))) (cbrt (/ x y))) (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (cbrt x)) (* (cbrt x) (cbrt (/ x y))) (exp (* 1/3 (- (log x) (log y)))) (exp (* 1/3 (- (log (/ 1 y)) (log (/ 1 x))))) (exp (* 1/3 (- (log (/ -1 y)) (log (/ -1 x))))) (exp (* 1/3 (- (log x) (log y)))) (exp (* 1/3 (- (log (/ 1 y)) (log (/ 1 x))))) (exp (* 1/3 (- (log (/ -1 y)) (log (/ -1 x))))) (exp (* 1/3 (- (log x) (log y)))) (exp (* 1/3 (- (log (/ 1 y)) (log (/ 1 x))))) (exp (* 1/3 (- (log (/ -1 y)) (log (/ -1 x))))) (exp (* 1/3 (- (* 2 (log x)) (* 2 (log y))))) (exp (* 1/3 (- (* 2 (log (/ 1 y))) (* 2 (log (/ 1 x)))))) (exp (* 1/3 (- (* 2 (log (/ -1 y))) (* 2 (log (/ -1 x)))))) 0.907 * [simplify]: Sending expressions to egg_math: (log (cbrt (/ h0 h1))) (exp (cbrt (/ h0 h1))) (cbrt (* (cbrt (/ h0 h1)) (cbrt (/ h0 h1)))) (cbrt (cbrt (/ h0 h1))) (cbrt (sqrt (/ h0 h1))) (cbrt (sqrt (/ h0 h1))) (cbrt (/ (* (cbrt h0) (cbrt h0)) (* (cbrt h1) (cbrt h1)))) (cbrt (/ (cbrt h0) (cbrt h1))) (cbrt (/ (* (cbrt h0) (cbrt h0)) (sqrt h1))) (cbrt (/ (cbrt h0) (sqrt h1))) (cbrt (/ (* (cbrt h0) (cbrt h0)) 1)) (cbrt (/ (cbrt h0) h1)) (cbrt (/ (sqrt h0) (* (cbrt h1) (cbrt h1)))) (cbrt (/ (sqrt h0) (cbrt h1))) (cbrt (/ (sqrt h0) (sqrt h1))) (cbrt (/ (sqrt h0) (sqrt h1))) (cbrt (/ (sqrt h0) 1)) (cbrt (/ (sqrt h0) h1)) (cbrt (/ 1 (* (cbrt h1) (cbrt h1)))) (cbrt (/ h0 (cbrt h1))) (cbrt (/ 1 (sqrt h1))) (cbrt (/ h0 (sqrt h1))) (cbrt (/ 1 1)) (cbrt (/ h0 h1)) (cbrt 1) (cbrt (/ h0 h1)) (cbrt h0) (cbrt (/ 1 h1)) (cbrt h0) (cbrt h1) (* (cbrt (cbrt (/ h0 h1))) (cbrt (cbrt (/ h0 h1)))) (cbrt (cbrt (/ h0 h1))) (* (* (cbrt (/ h0 h1)) (cbrt (/ h0 h1))) (cbrt (/ h0 h1))) (sqrt (cbrt (/ h0 h1))) (sqrt (cbrt (/ h0 h1))) (log (cbrt (/ h0 h1))) (exp (cbrt (/ h0 h1))) (cbrt (* (cbrt (/ h0 h1)) (cbrt (/ h0 h1)))) (cbrt (cbrt (/ h0 h1))) (cbrt (sqrt (/ h0 h1))) (cbrt (sqrt (/ h0 h1))) (cbrt (/ (* (cbrt h0) (cbrt h0)) (* (cbrt h1) (cbrt h1)))) (cbrt (/ (cbrt h0) (cbrt h1))) (cbrt (/ (* (cbrt h0) (cbrt h0)) (sqrt h1))) (cbrt (/ (cbrt h0) (sqrt h1))) (cbrt (/ (* (cbrt h0) (cbrt h0)) 1)) (cbrt (/ (cbrt h0) h1)) (cbrt (/ (sqrt h0) (* 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(cbrt h0) (cbrt h1))) (cbrt (/ h0 h1))) (* (cbrt (/ (cbrt h0) (sqrt h1))) (cbrt (/ h0 h1))) (* (cbrt (/ (cbrt h0) h1)) (cbrt (/ h0 h1))) (* (cbrt (/ (sqrt h0) (cbrt h1))) (cbrt (/ h0 h1))) (* (cbrt (/ (sqrt h0) (sqrt h1))) (cbrt (/ h0 h1))) (* (cbrt (/ (sqrt h0) h1)) (cbrt (/ h0 h1))) (* (cbrt (/ h0 (cbrt h1))) (cbrt (/ h0 h1))) (* (cbrt (/ h0 (sqrt h1))) (cbrt (/ h0 h1))) (* (cbrt (/ h0 h1)) (cbrt (/ h0 h1))) (* (cbrt (/ h0 h1)) (cbrt (/ h0 h1))) (* (cbrt (/ 1 h1)) (cbrt (/ h0 h1))) (* (cbrt (cbrt (/ h0 h1))) (cbrt (/ h0 h1))) (* (sqrt (cbrt (/ h0 h1))) (cbrt (/ h0 h1))) (* (cbrt (/ h0 h1)) (cbrt (/ h0 h1))) (* (cbrt (/ h0 h1)) (cbrt h0)) (* (cbrt h0) (cbrt (/ h0 h1))) (exp (* 1/3 (- (log h0) (log h1)))) (exp (* 1/3 (- (log (/ 1 h1)) (log (/ 1 h0))))) (exp (* 1/3 (- (log (/ -1 h1)) (log (/ -1 h0))))) (exp (* 1/3 (- (log h0) (log h1)))) (exp (* 1/3 (- (log (/ 1 h1)) (log (/ 1 h0))))) (exp (* 1/3 (- (log (/ -1 h1)) (log (/ -1 h0))))) (exp (* 1/3 (- (log h0) (log h1)))) (exp (* 1/3 (- (log (/ 1 h1)) (log (/ 1 h0))))) (exp (* 1/3 (- (log (/ -1 h1)) (log (/ -1 h0))))) (exp (* 1/3 (- (* 2 (log h0)) (* 2 (log h1))))) (exp (* 1/3 (- (* 2 (log (/ 1 h1))) (* 2 (log (/ 1 h0)))))) (exp (* 1/3 (- (* 2 (log (/ -1 h1))) (* 2 (log (/ -1 h0)))))) 0.913 * * [simplify]: iteration 0 : 260 enodes (cost 1109 ) 0.918 * * [simplify]: iteration 1 : 902 enodes (cost 1061 ) 0.936 * * [simplify]: iteration 2 : 3525 enodes (cost 1016 ) 0.973 * * [simplify]: iteration 3 : 5001 enodes (cost 992 ) 0.977 * [simplify]: Simplified to: (log (cbrt (/ x y))) (exp (cbrt (/ x y))) (cbrt (* (cbrt (/ x y)) (cbrt (/ x y)))) (cbrt (cbrt (/ x y))) (cbrt (sqrt (/ x y))) (cbrt (sqrt (/ x y))) (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (cbrt (/ (cbrt x) (cbrt y))) (cbrt (/ (* (cbrt x) (cbrt x)) (sqrt y))) (cbrt (/ (cbrt x) (sqrt y))) (cbrt (/ (* (cbrt x) (cbrt x)) 1)) (cbrt (/ (cbrt x) y)) (cbrt (/ (sqrt x) (* (cbrt y) (cbrt y)))) (cbrt (/ (sqrt x) (cbrt y))) (cbrt (/ (sqrt x) (sqrt y))) (cbrt (/ 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(cbrt x)) (* (cbrt y) (cbrt y))))) (* (cbrt (/ x y)) (cbrt (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (* (cbrt (/ x y)) (cbrt (/ (* (cbrt x) (cbrt x)) 1))) (* (cbrt (/ x y)) (cbrt (/ (sqrt x) (* (cbrt y) (cbrt y))))) (* (cbrt (/ x y)) (cbrt (/ (sqrt x) (sqrt y)))) (* (cbrt (/ x y)) (cbrt (/ (sqrt x) 1))) (* (cbrt (/ x y)) (cbrt (/ 1 (* (cbrt y) (cbrt y))))) (* (cbrt (/ x y)) (cbrt (/ 1 (sqrt y)))) (cbrt (/ x y)) (cbrt (/ x y)) (* (cbrt (/ x y)) (cbrt x)) (pow (cbrt (cbrt (/ x y))) 5) (pow (sqrt (cbrt (/ x y))) 3) (cbrt (/ x y)) (pow (cbrt (cbrt (/ x y))) 4) (* (cbrt (/ x y)) (cbrt (sqrt (/ x y)))) (* (cbrt (/ (cbrt x) (cbrt y))) (cbrt (/ x y))) (* (cbrt (/ (cbrt x) (sqrt y))) (cbrt (/ x y))) (* (cbrt (/ (cbrt x) y)) (cbrt (/ x y))) (* (cbrt (/ (sqrt x) (cbrt y))) (cbrt (/ x y))) (* (cbrt (/ x y)) (cbrt (/ (sqrt x) (sqrt y)))) (* (cbrt (/ (sqrt x) y)) (cbrt (/ x y))) (* (cbrt (/ x (cbrt y))) (cbrt (/ x y))) (* (cbrt (/ x (sqrt y))) (cbrt (/ x y))) (pow (sqrt (cbrt (/ x y))) 4) (pow (sqrt (cbrt (/ x y))) 4) (* (cbrt (/ 1 y)) (cbrt (/ x y))) (pow (cbrt (cbrt (/ x y))) 4) (pow (sqrt (cbrt (/ x y))) 3) (pow (sqrt (cbrt (/ x y))) 4) (* (cbrt (/ x y)) (cbrt x)) (* (cbrt (/ x y)) (cbrt x)) (cbrt (/ x y)) (cbrt (/ x y)) (exp (* 1/3 (- (log (/ -1 y)) (log (/ -1 x))))) (cbrt (/ x y)) (cbrt (/ x y)) (exp (* 1/3 (- (log (/ -1 y)) (log (/ -1 x))))) (cbrt (/ x y)) (cbrt (/ x y)) (exp (* 1/3 (- (log (/ -1 y)) (log (/ -1 x))))) (pow (sqrt (cbrt (/ x y))) 4) (pow (sqrt (cbrt (/ x y))) 4) (pow (exp 2/3) (- (log (/ -1 y)) (log (/ -1 x)))) 0.978 * * * [progress]: adding candidates to table 1.384 * [progress]: [Phase 3 of 3] Extracting. 1.384 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 1.385 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (/ x (* y y)) y x) 1.385 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # # # # # #) 1.416 * * * * [regimes]: Trying to branch on (/ x (* y y)) from (# # # # # # # # # # #) 1.443 * * * * [regimes]: Trying to branch on y from (# # # # # # # # # # #) 1.475 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # #) 1.507 * * * [regime]: Found split indices: #