11.330 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (- (/ x (* y y)) 3.0) 0.017 * [simplify]: Sending expressions to egg_math: (- (/ h0 (* h1 h1)) h2) 0.019 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.020 * * [simplify]: iteration 1 : 11 enodes (cost 3 ) 0.021 * * [simplify]: iteration 2 : 11 enodes (cost 3 ) 0.021 * [simplify]: Simplified to: (- (/ x (* y y)) 3.0) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.037 * * * [progress]: generating series expansions 0.037 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.037 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.037 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.037 * [taylor]: Taking taylor expansion of x in y 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.044 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of 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 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.049 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.049 * [taylor]: Taking taylor expansion of -1 in y 0.049 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of x in y 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) 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 0.050 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.050 * [taylor]: Taking taylor expansion of -1 in y 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.051 * [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 0.057 * [simplify]: Simplifying using # : (expm1 (/ x (* y y))) (log1p (/ x (* y y))) (- (log x) (+ (log y) (log y))) (- (log x) (log (* y y))) (log (/ x (* y y))) (exp (/ x (* y y))) (/ (* (* x x) x) (* (* (* y y) y) (* (* y y) y))) (/ (* (* x x) x) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (/ x (* y y))) (cbrt (/ x (* y y)))) (cbrt (/ x (* y y))) (* (* (/ x (* y y)) (/ x (* y y))) (/ x (* y y))) (sqrt (/ x (* y y))) (sqrt (/ x (* y y))) (- x) (- (* y y)) (/ (* (cbrt x) (cbrt x)) y) (/ (cbrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (/ 1 y) (/ x y) (/ 1 (* y y)) (/ (* y y) x) (/ x y) (/ (* y y) (cbrt x)) (/ (* y y) (sqrt x)) (/ (* y y) x) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 0.057 * [simplify]: Sending expressions to egg_math: (expm1 (/ h0 (* h1 h1))) (log1p (/ h0 (* h1 h1))) (- (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)) 0.060 * * [simplify]: iteration 0 : 101 enodes (cost 92 ) 0.062 * * [simplify]: iteration 1 : 322 enodes (cost 77 ) 0.067 * * [simplify]: iteration 2 : 957 enodes (cost 77 ) 0.086 * * [simplify]: iteration 3 : 4517 enodes (cost 77 ) 0.150 * * [simplify]: iteration 4 : 5002 enodes (cost 77 ) 0.151 * [simplify]: Simplified to: (expm1 (/ x (* y y))) (log1p (/ x (* y y))) (log (/ x (* y y))) (log (/ x (* y y))) (log (/ x (* y y))) (exp (/ x (* y y))) (pow (/ x (* y y)) 3) (pow (/ x (* y y)) 3) (* (cbrt (/ x (* y y))) (cbrt (/ x (* y y)))) (cbrt (/ x (* y y))) (pow (/ x (* y y)) 3) (sqrt (/ x (* y y))) (sqrt (/ x (* y y))) (- x) (- (* y y)) (/ (* (cbrt x) (cbrt x)) y) (/ (cbrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (/ 1 y) (/ x y) (/ 1 (* y y)) (/ (* y y) x) (/ x y) (/ (* y y) (cbrt x)) (/ (* y y) (sqrt x)) (/ (* y y) x) (/ x (* y y)) (/ x (* y y)) (/ x (* y y)) 0.151 * * * [progress]: adding candidates to table 0.193 * * [progress]: iteration 2 / 4 0.193 * * * [progress]: picking best candidate 0.198 * * * * [pick]: Picked # 0.198 * * * [progress]: localizing error 0.203 * * * [progress]: generating rewritten candidates 0.203 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.221 * * * [progress]: generating series expansions 0.221 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.221 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.221 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.221 * [taylor]: Taking taylor expansion of x in y 0.221 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.221 * [taylor]: Taking taylor expansion of y in y 0.221 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.221 * [taylor]: Taking taylor expansion of y in x 0.222 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.222 * [taylor]: Taking taylor expansion of 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 (/ 1 (pow y 2)) 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 0 in y 0.224 * [taylor]: Taking taylor expansion of 0 in y 0.225 * [taylor]: Taking taylor expansion of 0 in y 0.228 * [taylor]: Taking taylor expansion of 0 in y 0.228 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.228 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.228 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.228 * [taylor]: Taking taylor expansion of x in y 0.228 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.228 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.228 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.229 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.229 * [taylor]: Taking taylor expansion of y in y 0.229 * [taylor]: Taking taylor expansion of 0 in y 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.233 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.233 * [taylor]: Taking taylor expansion of -1 in y 0.233 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.233 * [taylor]: Taking taylor expansion of x in y 0.233 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.233 * [taylor]: Taking taylor expansion of -1 in x 0.233 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.233 * [taylor]: Taking taylor expansion of y in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.234 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.234 * [taylor]: Taking taylor expansion of -1 in x 0.234 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.234 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.234 * [taylor]: Taking taylor expansion of y in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.234 * [taylor]: Taking taylor expansion of -1 in y 0.234 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.235 * [taylor]: Taking taylor expansion of 0 in y 0.237 * [taylor]: Taking taylor expansion of 0 in y 0.241 * [taylor]: Taking taylor expansion of 0 in y 0.241 * * * [progress]: simplifying candidates 0.242 * [simplify]: Simplifying using # : (expm1 (/ (/ x y) y)) (log1p (/ (/ x y) y)) (- (- (log x) (log y)) (log y)) (- (log (/ x y)) (log y)) (log (/ (/ x y) y)) (exp (/ (/ x y) y)) (/ (/ (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (/ (* (* (/ x y) (/ x y)) (/ x y)) (* (* y y) y)) (* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y))) (cbrt (/ (/ x y) y)) (* (* (/ (/ x y) y) (/ (/ x y) y)) (/ (/ x y) y)) (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y)) (- (/ x y)) (- y) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ x y)) (cbrt y)) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (sqrt y)) (/ (cbrt (/ x y)) (sqrt y)) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) 1) (/ (cbrt (/ x y)) y) (/ (sqrt (/ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (/ x y)) (cbrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) 1) (/ (sqrt (/ x y)) y) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) (cbrt y)) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ (cbrt x) (cbrt y)) (sqrt y)) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) 1) (/ (/ (cbrt x) (cbrt y)) y) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (sqrt y)) (cbrt y)) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (sqrt y)) (/ (/ (cbrt x) (sqrt y)) (sqrt y)) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) 1) (/ (/ (cbrt x) (sqrt y)) y) (/ (/ (* (cbrt x) (cbrt x)) 1) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) y) (cbrt y)) (/ (/ (* (cbrt x) (cbrt x)) 1) (sqrt y)) (/ (/ (cbrt x) y) (sqrt y)) (/ (/ (* (cbrt x) (cbrt x)) 1) 1) (/ (/ (cbrt x) y) y) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ (sqrt x) (cbrt y)) (sqrt y)) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) 1) (/ (/ (sqrt x) (cbrt y)) y) (/ (/ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (sqrt y)) (cbrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) 1) (/ (/ (sqrt x) (sqrt y)) y) (/ (/ (sqrt x) 1) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) y) (cbrt y)) (/ (/ (sqrt x) 1) (sqrt y)) (/ (/ (sqrt x) y) (sqrt y)) (/ (/ (sqrt x) 1) 1) (/ (/ (sqrt x) y) y) (/ (/ 1 (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (/ x (cbrt y)) (cbrt y)) (/ (/ 1 (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ x (cbrt y)) (sqrt y)) (/ (/ 1 (* (cbrt y) (cbrt y))) 1) (/ (/ x (cbrt y)) y) (/ (/ 1 (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ x (sqrt y)) (cbrt y)) (/ (/ 1 (sqrt y)) (sqrt y)) (/ (/ x (sqrt y)) (sqrt y)) (/ (/ 1 (sqrt y)) 1) (/ (/ x (sqrt y)) y) (/ (/ 1 1) (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ (/ 1 1) (sqrt y)) (/ (/ x y) (sqrt y)) (/ (/ 1 1) 1) (/ (/ x y) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (/ x y) (sqrt y)) (/ 1 1) (/ (/ x y) y) (/ x (* (cbrt y) (cbrt y))) (/ (/ 1 y) (cbrt y)) (/ x (sqrt y)) (/ (/ 1 y) (sqrt y)) (/ x 1) (/ (/ 1 y) y) (/ 1 y) (/ y (/ x y)) (/ (/ x y) (* (cbrt y) (cbrt y))) (/ (/ x y) (sqrt y)) (/ (/ x y) 1) (/ y (cbrt (/ x y))) (/ y (sqrt (/ x y))) (/ y (/ (cbrt x) (cbrt y))) (/ y (/ (cbrt x) (sqrt y))) (/ y (/ (cbrt x) y)) (/ y (/ (sqrt x) (cbrt y))) (/ y (/ (sqrt x) (sqrt y))) (/ y (/ (sqrt x) y)) (/ y (/ x (cbrt y))) (/ y (/ x (sqrt y))) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ 1 y)) (* y y) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 0.242 * [simplify]: Sending expressions to egg_math: (expm1 (/ (/ h0 h1) h1)) (log1p (/ (/ h0 h1) h1)) (- (- (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)) 0.246 * * [simplify]: iteration 0 : 313 enodes (cost 455 ) 0.252 * * [simplify]: iteration 1 : 1182 enodes (cost 421 ) 0.272 * * [simplify]: iteration 2 : 5001 enodes (cost 412 ) 0.275 * [simplify]: Simplified to: (expm1 (/ (/ x y) y)) (log1p (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (exp (/ (/ x y) y)) (pow (/ (/ x y) y) 3) (pow (/ (/ x y) y) 3) (* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y))) (cbrt (/ (/ x y) y)) (pow (/ (/ x y) y) 3) (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y)) (- (/ x y)) (- y) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ x y)) (cbrt y)) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (sqrt y)) (/ (cbrt (/ x y)) (sqrt y)) (* (cbrt (/ x y)) (cbrt (/ x y))) (/ (cbrt (/ x y)) y) (/ (sqrt (/ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (/ x y)) (cbrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (sqrt (/ x y)) (/ (sqrt (/ x y)) y) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (pow (cbrt y) 3))) (/ (/ (cbrt x) (cbrt y)) (cbrt y)) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) (sqrt y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) y) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) (sqrt y)) (/ (cbrt x) (/ y (cbrt x))) (/ (cbrt x) y) (/ (* (cbrt x) (cbrt x)) (sqrt y)) (/ (/ (cbrt x) (sqrt y)) y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) y) (/ (* (cbrt x) (cbrt x)) (sqrt y)) (/ (/ (cbrt x) (sqrt y)) y) (* (cbrt x) (cbrt x)) (/ (/ (cbrt x) y) y) (/ (/ (sqrt x) (cbrt y)) (pow (cbrt y) 3)) (/ (sqrt x) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (sqrt y)) (cbrt y)) (/ (sqrt x) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) y) (cbrt y)) (/ (/ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (sqrt y)) (cbrt y)) (/ (sqrt x) y) (/ (sqrt x) y) (/ (sqrt x) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) y) (/ (sqrt x) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) y) (cbrt y)) (/ (sqrt x) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) y) (sqrt x) (/ (/ (sqrt x) y) y) (/ (/ 1 (cbrt y)) (pow (cbrt y) 3)) (/ x (* (cbrt y) (cbrt y))) (/ (/ 1 (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ x (sqrt y)) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ (/ 1 (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ x (sqrt y)) (cbrt y)) (/ 1 y) (/ x y) (/ 1 (sqrt y)) (/ (/ x y) (sqrt y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (/ x y) (sqrt y)) 1 (/ (/ x y) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (/ x y) (sqrt y)) 1 (/ (/ x y) y) (/ x (* (cbrt y) (cbrt y))) (/ (/ 1 y) (cbrt y)) (/ x (sqrt y)) (/ (/ 1 y) (sqrt y)) x (/ (/ 1 y) y) (/ 1 y) (/ y (/ x y)) (/ (/ x y) (* (cbrt y) (cbrt y))) (/ (/ x y) (sqrt y)) (/ x y) (/ y (cbrt (/ x y))) (/ y (sqrt (/ x y))) (/ y (/ (cbrt x) (cbrt y))) (/ y (/ (cbrt x) (sqrt y))) (/ y (/ (cbrt x) y)) (/ y (/ (sqrt x) (cbrt y))) (/ y (/ (sqrt x) (sqrt y))) (/ y (/ (sqrt x) y)) (/ y (/ x (cbrt y))) (/ y (/ x (sqrt y))) (/ y (/ x y)) (/ y (/ x y)) (pow y 2) (pow y 2) (/ (/ x y) y) (/ (/ x y) y) (/ (/ x y) y) 0.275 * * * [progress]: adding candidates to table 0.406 * * [progress]: iteration 3 / 4 0.406 * * * [progress]: picking best candidate 0.416 * * * * [pick]: Picked # 0.416 * * * [progress]: localizing error 0.422 * * * [progress]: generating rewritten candidates 0.422 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.448 * * * [progress]: generating series expansions 0.448 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.448 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 0.448 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.448 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.448 * [taylor]: Taking taylor expansion of y in x 0.448 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.448 * [taylor]: Taking taylor expansion of x in y 0.448 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.448 * [taylor]: Taking taylor expansion of y in y 0.449 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.449 * [taylor]: Taking taylor expansion of x in y 0.449 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.449 * [taylor]: Taking taylor expansion of y in y 0.449 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of 0 in x 0.451 * [taylor]: Taking taylor expansion of 0 in x 0.453 * [taylor]: Taking taylor expansion of 0 in x 0.453 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 0.453 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.453 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.453 * [taylor]: Taking taylor expansion of y in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.453 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.453 * [taylor]: Taking taylor expansion of y in y 0.453 * [taylor]: Taking taylor expansion of x in y 0.454 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.454 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.454 * [taylor]: Taking taylor expansion of y in y 0.454 * [taylor]: Taking taylor expansion of x in y 0.454 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of 0 in x 0.456 * [taylor]: Taking taylor expansion of 0 in x 0.457 * [taylor]: Taking taylor expansion of 0 in x 0.458 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (y x) around 0 0.458 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.458 * [taylor]: Taking taylor expansion of -1 in x 0.458 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.458 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.458 * [taylor]: Taking taylor expansion of y in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.458 * [taylor]: Taking taylor expansion of -1 in y 0.458 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.458 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.458 * [taylor]: Taking taylor expansion of y in y 0.458 * [taylor]: Taking taylor expansion of x in y 0.458 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.458 * [taylor]: Taking taylor expansion of -1 in y 0.458 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.458 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.458 * [taylor]: Taking taylor expansion of y in y 0.458 * [taylor]: Taking taylor expansion of x in y 0.459 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.459 * [taylor]: Taking taylor expansion of -1 in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.460 * [taylor]: Taking taylor expansion of 0 in x 0.461 * [taylor]: Taking taylor expansion of 0 in x 0.463 * [taylor]: Taking taylor expansion of 0 in x 0.464 * * * [progress]: simplifying candidates 0.464 * [simplify]: Simplifying using # : (expm1 (* (/ 1 y) (/ x y))) (log1p (* (/ 1 y) (/ x y))) (* (/ 1 y) (/ x y)) (+ (- (log y)) (- (log x) (log y))) (+ (- (log y)) (log (/ x y))) (+ (- 0 (log y)) (- (log x) (log y))) (+ (- 0 (log y)) (log (/ x y))) (+ (- (log 1) (log y)) (- (log x) (log y))) (+ (- (log 1) (log y)) (log (/ x y))) (+ (log (/ 1 y)) (- (log x) (log y))) (+ (log (/ 1 y)) (log (/ x y))) (log (* (/ 1 y) (/ x y))) (exp (* (/ 1 y) (/ x y))) (* (/ (* (* 1 1) 1) (* (* y y) y)) (/ (* (* x x) x) (* (* y y) y))) (* (/ (* (* 1 1) 1) (* (* y y) y)) (* (* (/ x y) (/ x y)) (/ x y))) (* (* (* (/ 1 y) (/ 1 y)) (/ 1 y)) (/ (* (* x x) x) (* (* y y) y))) (* (* (* (/ 1 y) (/ 1 y)) (/ 1 y)) (* (* (/ x y) (/ x y)) (/ x y))) (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y)))) (cbrt (* (/ 1 y) (/ x y))) (* (* (* (/ 1 y) (/ x y)) (* (/ 1 y) (/ x y))) (* (/ 1 y) (/ x y))) (sqrt (* (/ 1 y) (/ x y))) (sqrt (* (/ 1 y) (/ x y))) (* 1 x) (* y y) (* (sqrt (/ 1 y)) (sqrt (/ x y))) (* (sqrt (/ 1 y)) (sqrt (/ x y))) (* (sqrt (/ 1 y)) (/ (sqrt x) (sqrt y))) (* (sqrt (/ 1 y)) (/ (sqrt x) (sqrt y))) (* (/ (sqrt 1) (sqrt y)) (sqrt (/ x y))) (* (/ (sqrt 1) (sqrt y)) (sqrt (/ x y))) (* (/ (sqrt 1) (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ (sqrt 1) (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ 1 (sqrt y)) (sqrt (/ x y))) (* (/ 1 (sqrt y)) (sqrt (/ x y))) (* (/ 1 (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ 1 (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ 1 y) (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (/ 1 y) (sqrt (/ x y))) (* (/ 1 y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* (/ 1 y) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* (/ 1 y) (/ (* (cbrt x) (cbrt x)) 1)) (* (/ 1 y) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* (/ 1 y) (/ (sqrt x) (sqrt y))) (* (/ 1 y) (/ (sqrt x) 1)) (* (/ 1 y) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ 1 y) (/ 1 (sqrt y))) (* (/ 1 y) (/ 1 1)) (* (/ 1 y) 1) (* (/ 1 y) x) (* (cbrt (/ 1 y)) (/ x y)) (* (sqrt (/ 1 y)) (/ x y)) (* (/ (cbrt 1) (cbrt y)) (/ x y)) (* (/ (cbrt 1) (sqrt y)) (/ x y)) (* (/ (cbrt 1) y) (/ x y)) (* (/ (sqrt 1) (cbrt y)) (/ x y)) (* (/ (sqrt 1) (sqrt y)) (/ x y)) (* (/ (sqrt 1) y) (/ x y)) (* (/ 1 (cbrt y)) (/ x y)) (* (/ 1 (sqrt y)) (/ x y)) (* (/ 1 y) (/ x y)) (* (/ 1 y) (/ x y)) (* (/ 1 y) (/ x y)) (* (/ 1 y) x) (* 1 (/ x y)) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 0.465 * [simplify]: Sending expressions to egg_math: (expm1 (* (/ 1 h0) (/ h1 h0))) (log1p (* (/ 1 h0) (/ h1 h0))) (* (/ 1 h0) (/ h1 h0)) (+ (- (log h0)) (- (log h1) (log h0))) (+ (- (log h0)) (log (/ h1 h0))) (+ (- 0 (log h0)) (- (log h1) (log h0))) (+ (- 0 (log h0)) (log (/ h1 h0))) (+ (- (log 1) (log h0)) (- (log h1) (log h0))) (+ (- (log 1) (log h0)) (log (/ h1 h0))) (+ (log (/ 1 h0)) (- (log h1) (log h0))) (+ (log (/ 1 h0)) (log (/ h1 h0))) (log (* (/ 1 h0) (/ h1 h0))) (exp (* (/ 1 h0) (/ h1 h0))) (* (/ (* (* 1 1) 1) (* (* h0 h0) h0)) (/ (* (* h1 h1) h1) (* (* h0 h0) h0))) (* (/ (* (* 1 1) 1) (* (* h0 h0) h0)) (* (* (/ h1 h0) (/ h1 h0)) (/ h1 h0))) (* (* (* (/ 1 h0) (/ 1 h0)) (/ 1 h0)) (/ (* (* h1 h1) h1) (* (* h0 h0) h0))) (* (* (* (/ 1 h0) (/ 1 h0)) (/ 1 h0)) (* (* (/ h1 h0) (/ h1 h0)) (/ h1 h0))) (* (cbrt (* (/ 1 h0) (/ h1 h0))) (cbrt (* (/ 1 h0) (/ h1 h0)))) (cbrt (* (/ 1 h0) (/ h1 h0))) (* (* (* (/ 1 h0) (/ h1 h0)) (* (/ 1 h0) (/ h1 h0))) (* (/ 1 h0) (/ h1 h0))) (sqrt (* (/ 1 h0) (/ h1 h0))) (sqrt (* (/ 1 h0) (/ h1 h0))) (* 1 h1) (* h0 h0) (* (sqrt (/ 1 h0)) (sqrt (/ h1 h0))) (* (sqrt (/ 1 h0)) (sqrt (/ h1 h0))) (* (sqrt (/ 1 h0)) (/ (sqrt h1) (sqrt h0))) (* (sqrt (/ 1 h0)) (/ (sqrt h1) (sqrt h0))) (* (/ (sqrt 1) (sqrt h0)) (sqrt (/ h1 h0))) (* (/ (sqrt 1) (sqrt h0)) (sqrt (/ h1 h0))) (* (/ (sqrt 1) (sqrt h0)) (/ (sqrt h1) (sqrt h0))) (* (/ (sqrt 1) (sqrt h0)) (/ (sqrt h1) (sqrt h0))) (* (/ 1 (sqrt h0)) (sqrt (/ h1 h0))) (* (/ 1 (sqrt h0)) (sqrt (/ h1 h0))) (* (/ 1 (sqrt h0)) (/ (sqrt h1) (sqrt h0))) (* (/ 1 (sqrt h0)) (/ (sqrt h1) (sqrt h0))) (* (/ 1 h0) (* (cbrt (/ h1 h0)) (cbrt (/ h1 h0)))) (* (/ 1 h0) (sqrt (/ h1 h0))) (* (/ 1 h0) (/ (* (cbrt h1) (cbrt h1)) (* (cbrt h0) (cbrt h0)))) (* (/ 1 h0) (/ (* (cbrt h1) (cbrt h1)) (sqrt h0))) (* (/ 1 h0) (/ (* (cbrt h1) (cbrt h1)) 1)) (* (/ 1 h0) (/ (sqrt h1) (* (cbrt h0) (cbrt h0)))) (* (/ 1 h0) (/ (sqrt h1) (sqrt h0))) (* (/ 1 h0) (/ (sqrt h1) 1)) (* (/ 1 h0) (/ 1 (* (cbrt h0) (cbrt h0)))) (* (/ 1 h0) (/ 1 (sqrt h0))) (* (/ 1 h0) (/ 1 1)) (* (/ 1 h0) 1) (* (/ 1 h0) h1) (* (cbrt (/ 1 h0)) (/ h1 h0)) (* (sqrt (/ 1 h0)) (/ h1 h0)) (* (/ (cbrt 1) (cbrt h0)) (/ h1 h0)) (* (/ (cbrt 1) (sqrt h0)) (/ h1 h0)) (* (/ (cbrt 1) h0) (/ h1 h0)) (* (/ (sqrt 1) (cbrt h0)) (/ h1 h0)) (* (/ (sqrt 1) (sqrt h0)) (/ h1 h0)) (* (/ (sqrt 1) h0) (/ h1 h0)) (* (/ 1 (cbrt h0)) (/ h1 h0)) (* (/ 1 (sqrt h0)) (/ h1 h0)) (* (/ 1 h0) (/ h1 h0)) (* (/ 1 h0) (/ h1 h0)) (* (/ 1 h0) (/ h1 h0)) (* (/ 1 h0) h1) (* 1 (/ h1 h0)) (/ h1 (pow h0 2)) (/ h1 (pow h0 2)) (/ h1 (pow h0 2)) 0.472 * * [simplify]: iteration 0 : 324 enodes (cost 305 ) 0.479 * * [simplify]: iteration 1 : 1606 enodes (cost 255 ) 0.509 * * [simplify]: iteration 2 : 5002 enodes (cost 219 ) 0.511 * [simplify]: Simplified to: (expm1 (* (/ 1 y) (/ x y))) (log1p (* (/ 1 y) (/ x y))) (/ x (pow y 2)) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (exp (/ x (pow y 2))) (pow (/ (/ x y) y) 3) (pow (/ (/ x y) y) 3) (pow (/ (/ x y) y) 3) (pow (/ (/ x y) y) 3) (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y)))) (cbrt (* (/ 1 y) (/ x y))) (pow (/ (/ x y) y) 3) (sqrt (* (/ 1 y) (/ x y))) (sqrt (* (/ 1 y) (/ x y))) x (pow y 2) (* (sqrt (/ 1 y)) (sqrt (/ x y))) (* (sqrt (/ 1 y)) (sqrt (/ x y))) (* (sqrt (/ 1 y)) (/ (sqrt x) (sqrt y))) (* (sqrt (/ 1 y)) (/ (sqrt x) (sqrt y))) (/ (sqrt (/ x y)) (pow y 1/2)) (/ (sqrt (/ x y)) (pow y 1/2)) (/ (sqrt x) y) (/ (sqrt x) y) (/ (sqrt (/ x y)) (pow y 1/2)) (/ (sqrt (/ x y)) (pow y 1/2)) (/ (sqrt x) y) (/ (sqrt x) y) (* (/ 1 y) (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (/ 1 y) (sqrt (/ x y))) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) y) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) y) (/ (* (cbrt x) (cbrt x)) y) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) y) (/ (sqrt x) (* (sqrt y) y)) (/ (sqrt x) y) (/ (/ 1 y) (* (cbrt y) (cbrt y))) (/ (/ 1 y) (sqrt y)) (/ 1 y) (/ 1 y) (/ x y) (* (cbrt (/ 1 y)) (/ x y)) (* (sqrt (/ 1 y)) (/ x y)) (/ (/ x y) (cbrt y)) (/ (/ x y) (sqrt y)) (/ x (pow y 2)) (/ (/ x y) (cbrt y)) (/ (/ x y) (sqrt y)) (/ x (pow y 2)) (/ (/ x y) (cbrt y)) (/ (/ x y) (sqrt y)) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) (/ x y) (/ x y) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 0.511 * * * [progress]: adding candidates to table 0.605 * * [progress]: iteration 4 / 4 0.605 * * * [progress]: picking best candidate 0.617 * * * * [pick]: Picked # 0.617 * * * [progress]: localizing error 0.625 * * * [progress]: generating rewritten candidates 0.626 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 0.628 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 0.630 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.632 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.665 * * * [progress]: generating series expansions 0.665 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 0.665 * [approximate]: Taking taylor expansion of (pow (/ x y) 1/3) in (x y) around 0 0.665 * [taylor]: Taking taylor expansion of (pow (/ x y) 1/3) in y 0.665 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x y)))) in y 0.665 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x y))) in y 0.665 * [taylor]: Taking taylor expansion of 1/3 in y 0.665 * [taylor]: Taking taylor expansion of (log (/ x y)) in y 0.665 * [taylor]: Taking taylor expansion of (/ x y) in y 0.665 * [taylor]: Taking taylor expansion of x in y 0.665 * [taylor]: Taking taylor expansion of y in y 0.666 * [taylor]: Taking taylor expansion of (pow (/ x y) 1/3) in x 0.666 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x y)))) in x 0.666 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x y))) in x 0.666 * [taylor]: Taking taylor expansion of 1/3 in x 0.666 * [taylor]: Taking taylor expansion of (log (/ x y)) in x 0.666 * [taylor]: Taking taylor expansion of (/ x y) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of y in x 0.667 * [taylor]: Taking taylor expansion of (pow (/ x y) 1/3) in x 0.667 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x y)))) in x 0.667 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x y))) in x 0.667 * [taylor]: Taking taylor expansion of 1/3 in x 0.667 * [taylor]: Taking taylor expansion of (log (/ x y)) in x 0.667 * [taylor]: Taking taylor expansion of (/ x y) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.667 * [taylor]: Taking taylor expansion of y in x 0.667 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.667 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.667 * [taylor]: Taking taylor expansion of 1/3 in y 0.667 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.667 * [taylor]: Taking taylor expansion of (log x) in y 0.667 * [taylor]: Taking taylor expansion of x in y 0.668 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.668 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.668 * [taylor]: Taking taylor expansion of y in y 0.670 * [taylor]: Taking taylor expansion of 0 in y 0.675 * [taylor]: Taking taylor expansion of 0 in y 0.687 * [taylor]: Taking taylor expansion of 0 in y 0.688 * [approximate]: Taking taylor expansion of (pow (/ y x) 1/3) in (x y) around 0 0.688 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in y 0.688 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in y 0.688 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in y 0.688 * [taylor]: Taking taylor expansion of 1/3 in y 0.688 * [taylor]: Taking taylor expansion of (log (/ y x)) in y 0.688 * [taylor]: Taking taylor expansion of (/ y x) in y 0.688 * [taylor]: Taking taylor expansion of y in y 0.688 * [taylor]: Taking taylor expansion of x in y 0.688 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.688 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.688 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.688 * [taylor]: Taking taylor expansion of 1/3 in x 0.688 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.688 * [taylor]: Taking taylor expansion of (/ y x) in x 0.688 * [taylor]: Taking taylor expansion of y in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.689 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.689 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.689 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.689 * [taylor]: Taking taylor expansion of 1/3 in x 0.689 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.689 * [taylor]: Taking taylor expansion of (/ y x) in x 0.689 * [taylor]: Taking taylor expansion of y in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.689 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log y) (log x)))) in y 0.689 * [taylor]: Taking taylor expansion of (* 1/3 (- (log y) (log x))) in y 0.690 * [taylor]: Taking taylor expansion of 1/3 in y 0.690 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in y 0.690 * [taylor]: Taking taylor expansion of (log y) in y 0.690 * [taylor]: Taking taylor expansion of y in y 0.690 * [taylor]: Taking taylor expansion of (log x) in y 0.690 * [taylor]: Taking taylor expansion of x in y 0.692 * [taylor]: Taking taylor expansion of 0 in y 0.698 * [taylor]: Taking taylor expansion of 0 in y 0.706 * [taylor]: Taking taylor expansion of 0 in y 0.706 * [approximate]: Taking taylor expansion of (pow (/ y x) 1/3) in (x y) around 0 0.706 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in y 0.706 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in y 0.706 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in y 0.706 * [taylor]: Taking taylor expansion of 1/3 in y 0.706 * [taylor]: Taking taylor expansion of (log (/ y x)) in y 0.706 * [taylor]: Taking taylor expansion of (/ y x) in y 0.706 * [taylor]: Taking taylor expansion of y in y 0.706 * [taylor]: Taking taylor expansion of x in y 0.707 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.707 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.707 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.707 * [taylor]: Taking taylor expansion of 1/3 in x 0.707 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.707 * [taylor]: Taking taylor expansion of (/ y x) in x 0.707 * [taylor]: Taking taylor expansion of y in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.707 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.707 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.707 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.707 * [taylor]: Taking taylor expansion of 1/3 in x 0.707 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.707 * [taylor]: Taking taylor expansion of (/ y x) in x 0.707 * [taylor]: Taking taylor expansion of y in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.708 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log y) (log x)))) in y 0.708 * [taylor]: Taking taylor expansion of (* 1/3 (- (log y) (log x))) in y 0.708 * [taylor]: Taking taylor expansion of 1/3 in y 0.708 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in y 0.708 * [taylor]: Taking taylor expansion of (log y) in y 0.708 * [taylor]: Taking taylor expansion of y in y 0.708 * [taylor]: Taking taylor expansion of (log x) in y 0.708 * [taylor]: Taking taylor expansion of x in y 0.711 * [taylor]: Taking taylor expansion of 0 in y 0.716 * [taylor]: Taking taylor expansion of 0 in y 0.725 * [taylor]: Taking taylor expansion of 0 in y 0.725 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 0.725 * [approximate]: Taking taylor expansion of (pow (/ x y) 1/3) in (x y) around 0 0.725 * [taylor]: Taking taylor expansion of (pow (/ x y) 1/3) in y 0.725 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x y)))) in y 0.725 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x y))) in y 0.725 * [taylor]: Taking taylor expansion of 1/3 in y 0.725 * [taylor]: Taking taylor expansion of (log (/ x y)) in y 0.725 * [taylor]: Taking taylor expansion of (/ x y) in y 0.725 * [taylor]: Taking taylor expansion of x in y 0.725 * [taylor]: Taking taylor expansion of y in y 0.726 * [taylor]: Taking taylor expansion of (pow (/ x y) 1/3) in x 0.726 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x y)))) in x 0.726 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x y))) in x 0.726 * [taylor]: Taking taylor expansion of 1/3 in x 0.726 * [taylor]: Taking taylor expansion of (log (/ x y)) in x 0.726 * [taylor]: Taking taylor expansion of (/ x y) in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.726 * [taylor]: Taking taylor expansion of y in x 0.726 * [taylor]: Taking taylor expansion of (pow (/ x y) 1/3) in x 0.726 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x y)))) in x 0.726 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x y))) in x 0.726 * [taylor]: Taking taylor expansion of 1/3 in x 0.726 * [taylor]: Taking taylor expansion of (log (/ x y)) in x 0.726 * [taylor]: Taking taylor expansion of (/ x y) in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.726 * [taylor]: Taking taylor expansion of y in x 0.727 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.727 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.727 * [taylor]: Taking taylor expansion of 1/3 in y 0.727 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.727 * [taylor]: Taking taylor expansion of (log x) in y 0.727 * [taylor]: Taking taylor expansion of x in y 0.727 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.727 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.727 * [taylor]: Taking taylor expansion of y in y 0.730 * [taylor]: Taking taylor expansion of 0 in y 0.735 * [taylor]: Taking taylor expansion of 0 in y 0.743 * [taylor]: Taking taylor expansion of 0 in y 0.743 * [approximate]: Taking taylor expansion of (pow (/ y x) 1/3) in (x y) around 0 0.743 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in y 0.743 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in y 0.743 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in y 0.743 * [taylor]: Taking taylor expansion of 1/3 in y 0.743 * [taylor]: Taking taylor expansion of (log (/ y x)) in y 0.743 * [taylor]: Taking taylor expansion of (/ y x) in y 0.743 * [taylor]: Taking taylor expansion of y in y 0.743 * [taylor]: Taking taylor expansion of x in y 0.744 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.744 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.744 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.744 * [taylor]: Taking taylor expansion of 1/3 in x 0.744 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.744 * [taylor]: Taking taylor expansion of (/ y x) in x 0.744 * [taylor]: Taking taylor expansion of y in x 0.744 * [taylor]: Taking taylor expansion of x in x 0.744 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.744 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.744 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.744 * [taylor]: Taking taylor expansion of 1/3 in x 0.744 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.744 * [taylor]: Taking taylor expansion of (/ y x) in x 0.744 * [taylor]: Taking taylor expansion of y in x 0.744 * [taylor]: Taking taylor expansion of x in x 0.745 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log y) (log x)))) in y 0.745 * [taylor]: Taking taylor expansion of (* 1/3 (- (log y) (log x))) in y 0.745 * [taylor]: Taking taylor expansion of 1/3 in y 0.745 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in y 0.745 * [taylor]: Taking taylor expansion of (log y) in y 0.745 * [taylor]: Taking taylor expansion of y in y 0.745 * [taylor]: Taking taylor expansion of (log x) in y 0.745 * [taylor]: Taking taylor expansion of x in y 0.748 * [taylor]: Taking taylor expansion of 0 in y 0.753 * [taylor]: Taking taylor expansion of 0 in y 0.761 * [taylor]: Taking taylor expansion of 0 in y 0.761 * [approximate]: Taking taylor expansion of (pow (/ y x) 1/3) in (x y) around 0 0.761 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in y 0.761 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in y 0.761 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in y 0.761 * [taylor]: Taking taylor expansion of 1/3 in y 0.761 * [taylor]: Taking taylor expansion of (log (/ y x)) in y 0.761 * [taylor]: Taking taylor expansion of (/ y x) in y 0.761 * [taylor]: Taking taylor expansion of y in y 0.762 * [taylor]: Taking taylor expansion of x in y 0.762 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.762 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.762 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.762 * [taylor]: Taking taylor expansion of 1/3 in x 0.762 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.762 * [taylor]: Taking taylor expansion of (/ y x) in x 0.762 * [taylor]: Taking taylor expansion of y in x 0.762 * [taylor]: Taking taylor expansion of x in x 0.763 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.763 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.763 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.763 * [taylor]: Taking taylor expansion of 1/3 in x 0.763 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.763 * [taylor]: Taking taylor expansion of (/ y x) in x 0.763 * [taylor]: Taking taylor expansion of y in x 0.763 * [taylor]: Taking taylor expansion of x in x 0.763 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log y) (log x)))) in y 0.763 * [taylor]: Taking taylor expansion of (* 1/3 (- (log y) (log x))) in y 0.763 * [taylor]: Taking taylor expansion of 1/3 in y 0.763 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in y 0.763 * [taylor]: Taking taylor expansion of (log y) in y 0.763 * [taylor]: Taking taylor expansion of y in y 0.763 * [taylor]: Taking taylor expansion of (log x) in y 0.763 * [taylor]: Taking taylor expansion of x in y 0.766 * [taylor]: Taking taylor expansion of 0 in y 0.777 * [taylor]: Taking taylor expansion of 0 in y 0.785 * [taylor]: Taking taylor expansion of 0 in y 0.786 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.786 * [approximate]: Taking taylor expansion of (pow (/ x y) 1/3) in (x y) around 0 0.786 * [taylor]: Taking taylor expansion of (pow (/ x y) 1/3) in y 0.786 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x y)))) in y 0.786 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x y))) in y 0.786 * [taylor]: Taking taylor expansion of 1/3 in y 0.786 * [taylor]: Taking taylor expansion of (log (/ x y)) in y 0.786 * [taylor]: Taking taylor expansion of (/ x y) in y 0.786 * [taylor]: Taking taylor expansion of x in y 0.786 * [taylor]: Taking taylor expansion of y in y 0.786 * [taylor]: Taking taylor expansion of (pow (/ x y) 1/3) in x 0.786 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x y)))) in x 0.786 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x y))) in x 0.786 * [taylor]: Taking taylor expansion of 1/3 in x 0.786 * [taylor]: Taking taylor expansion of (log (/ x y)) in x 0.786 * [taylor]: Taking taylor expansion of (/ x y) in x 0.786 * [taylor]: Taking taylor expansion of x in x 0.786 * [taylor]: Taking taylor expansion of y in x 0.787 * [taylor]: Taking taylor expansion of (pow (/ x y) 1/3) in x 0.787 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ x y)))) in x 0.787 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ x y))) in x 0.787 * [taylor]: Taking taylor expansion of 1/3 in x 0.787 * [taylor]: Taking taylor expansion of (log (/ x y)) in x 0.787 * [taylor]: Taking taylor expansion of (/ x y) in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.787 * [taylor]: Taking taylor expansion of y in x 0.788 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log x) (log (/ 1 y))))) in y 0.788 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log x) (log (/ 1 y)))) in y 0.788 * [taylor]: Taking taylor expansion of 1/3 in y 0.788 * [taylor]: Taking taylor expansion of (+ (log x) (log (/ 1 y))) in y 0.788 * [taylor]: Taking taylor expansion of (log x) in y 0.788 * [taylor]: Taking taylor expansion of x in y 0.788 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.788 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.788 * [taylor]: Taking taylor expansion of y in y 0.790 * [taylor]: Taking taylor expansion of 0 in y 0.795 * [taylor]: Taking taylor expansion of 0 in y 0.803 * [taylor]: Taking taylor expansion of 0 in y 0.803 * [approximate]: Taking taylor expansion of (pow (/ y x) 1/3) in (x y) around 0 0.803 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in y 0.803 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in y 0.803 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in y 0.803 * [taylor]: Taking taylor expansion of 1/3 in y 0.803 * [taylor]: Taking taylor expansion of (log (/ y x)) in y 0.803 * [taylor]: Taking taylor expansion of (/ y x) in y 0.803 * [taylor]: Taking taylor expansion of y in y 0.803 * [taylor]: Taking taylor expansion of x in y 0.804 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.804 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.804 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.804 * [taylor]: Taking taylor expansion of 1/3 in x 0.804 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.804 * [taylor]: Taking taylor expansion of (/ y x) in x 0.804 * [taylor]: Taking taylor expansion of y in x 0.804 * [taylor]: Taking taylor expansion of x in x 0.804 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.804 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.804 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.804 * [taylor]: Taking taylor expansion of 1/3 in x 0.804 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.804 * [taylor]: Taking taylor expansion of (/ y x) in x 0.804 * [taylor]: Taking taylor expansion of y in x 0.804 * [taylor]: Taking taylor expansion of x in x 0.805 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log y) (log x)))) in y 0.805 * [taylor]: Taking taylor expansion of (* 1/3 (- (log y) (log x))) in y 0.805 * [taylor]: Taking taylor expansion of 1/3 in y 0.805 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in y 0.805 * [taylor]: Taking taylor expansion of (log y) in y 0.805 * [taylor]: Taking taylor expansion of y in y 0.805 * [taylor]: Taking taylor expansion of (log x) in y 0.805 * [taylor]: Taking taylor expansion of x in y 0.808 * [taylor]: Taking taylor expansion of 0 in y 0.813 * [taylor]: Taking taylor expansion of 0 in y 0.821 * [taylor]: Taking taylor expansion of 0 in y 0.821 * [approximate]: Taking taylor expansion of (pow (/ y x) 1/3) in (x y) around 0 0.821 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in y 0.821 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in y 0.821 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in y 0.822 * [taylor]: Taking taylor expansion of 1/3 in y 0.822 * [taylor]: Taking taylor expansion of (log (/ y x)) in y 0.822 * [taylor]: Taking taylor expansion of (/ y x) in y 0.822 * [taylor]: Taking taylor expansion of y in y 0.822 * [taylor]: Taking taylor expansion of x in y 0.822 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.822 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.822 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.822 * [taylor]: Taking taylor expansion of 1/3 in x 0.822 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.822 * [taylor]: Taking taylor expansion of (/ y x) in x 0.822 * [taylor]: Taking taylor expansion of y in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.823 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in x 0.823 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ y x)))) in x 0.823 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ y x))) in x 0.823 * [taylor]: Taking taylor expansion of 1/3 in x 0.823 * [taylor]: Taking taylor expansion of (log (/ y x)) in x 0.823 * [taylor]: Taking taylor expansion of (/ y x) in x 0.823 * [taylor]: Taking taylor expansion of y in x 0.823 * [taylor]: Taking taylor expansion of x in x 0.823 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log y) (log x)))) in y 0.823 * [taylor]: Taking taylor expansion of (* 1/3 (- (log y) (log x))) in y 0.823 * [taylor]: Taking taylor expansion of 1/3 in y 0.823 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in y 0.823 * [taylor]: Taking taylor expansion of (log y) in y 0.823 * [taylor]: Taking taylor expansion of y in y 0.824 * [taylor]: Taking taylor expansion of (log x) in y 0.824 * [taylor]: Taking taylor expansion of x in y 0.826 * [taylor]: Taking taylor expansion of 0 in y 0.832 * [taylor]: Taking taylor expansion of 0 in y 0.840 * [taylor]: Taking taylor expansion of 0 in y 0.840 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.840 * [approximate]: Taking taylor expansion of (pow (/ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 0.840 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow y 2)) 1/3) in y 0.841 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow y 2))))) in y 0.841 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow y 2)))) in y 0.841 * [taylor]: Taking taylor expansion of 1/3 in y 0.841 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow y 2))) in y 0.841 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in y 0.841 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.841 * [taylor]: Taking taylor expansion of x in y 0.841 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.841 * [taylor]: Taking taylor expansion of y in y 0.842 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow y 2)) 1/3) in x 0.842 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow y 2))))) in x 0.842 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow y 2)))) in x 0.842 * [taylor]: Taking taylor expansion of 1/3 in x 0.842 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow y 2))) in x 0.842 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in x 0.842 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.842 * [taylor]: Taking taylor expansion of x in x 0.842 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.842 * [taylor]: Taking taylor expansion of y in x 0.843 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow y 2)) 1/3) in x 0.843 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow x 2) (pow y 2))))) in x 0.843 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow x 2) (pow y 2)))) in x 0.843 * [taylor]: Taking taylor expansion of 1/3 in x 0.843 * [taylor]: Taking taylor expansion of (log (/ (pow x 2) (pow y 2))) in x 0.843 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow y 2)) in x 0.843 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.843 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.843 * [taylor]: Taking taylor expansion of y in x 0.844 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2)))))) in y 0.844 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log x)) (log (/ 1 (pow y 2))))) in y 0.844 * [taylor]: Taking taylor expansion of 1/3 in y 0.844 * [taylor]: Taking taylor expansion of (+ (* 2 (log x)) (log (/ 1 (pow y 2)))) in y 0.844 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.844 * [taylor]: Taking taylor expansion of 2 in y 0.844 * [taylor]: Taking taylor expansion of (log x) in y 0.844 * [taylor]: Taking taylor expansion of x in y 0.844 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.844 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.844 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.844 * [taylor]: Taking taylor expansion of y in y 0.848 * [taylor]: Taking taylor expansion of 0 in y 0.855 * [taylor]: Taking taylor expansion of 0 in y 0.870 * [taylor]: Taking taylor expansion of 0 in y 0.870 * [approximate]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in (x y) around 0 0.870 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in y 0.870 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in y 0.870 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in y 0.870 * [taylor]: Taking taylor expansion of 1/3 in y 0.871 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in y 0.871 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 0.871 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.871 * [taylor]: Taking taylor expansion of y in y 0.871 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.871 * [taylor]: Taking taylor expansion of x in y 0.872 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in x 0.872 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in x 0.872 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in x 0.872 * [taylor]: Taking taylor expansion of 1/3 in x 0.872 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in x 0.872 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.872 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.872 * [taylor]: Taking taylor expansion of y in x 0.872 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.872 * [taylor]: Taking taylor expansion of x in x 0.873 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in x 0.873 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in x 0.873 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in x 0.873 * [taylor]: Taking taylor expansion of 1/3 in x 0.873 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in x 0.873 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.873 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.873 * [taylor]: Taking taylor expansion of y in x 0.873 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.873 * [taylor]: Taking taylor expansion of x in x 0.874 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow y 2)) (* 2 (log x))))) in y 0.874 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow y 2)) (* 2 (log x)))) in y 0.874 * [taylor]: Taking taylor expansion of 1/3 in y 0.874 * [taylor]: Taking taylor expansion of (- (log (pow y 2)) (* 2 (log x))) in y 0.874 * [taylor]: Taking taylor expansion of (log (pow y 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 (* 2 (log x)) in y 0.874 * [taylor]: Taking taylor expansion of 2 in y 0.874 * [taylor]: Taking taylor expansion of (log x) in y 0.874 * [taylor]: Taking taylor expansion of x in y 0.878 * [taylor]: Taking taylor expansion of 0 in y 0.885 * [taylor]: Taking taylor expansion of 0 in y 0.895 * [taylor]: Taking taylor expansion of 0 in y 0.896 * [approximate]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in (x y) around 0 0.896 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in y 0.896 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in y 0.896 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in y 0.896 * [taylor]: Taking taylor expansion of 1/3 in y 0.896 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in y 0.896 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in y 0.896 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.896 * [taylor]: Taking taylor expansion of y in y 0.896 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.896 * [taylor]: Taking taylor expansion of x in y 0.897 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in x 0.897 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in x 0.897 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in x 0.897 * [taylor]: Taking taylor expansion of 1/3 in x 0.897 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in x 0.897 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.897 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.897 * [taylor]: Taking taylor expansion of y in x 0.897 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.897 * [taylor]: Taking taylor expansion of x in x 0.898 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) (pow x 2)) 1/3) in x 0.898 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow y 2) (pow x 2))))) in x 0.898 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow y 2) (pow x 2)))) in x 0.898 * [taylor]: Taking taylor expansion of 1/3 in x 0.898 * [taylor]: Taking taylor expansion of (log (/ (pow y 2) (pow x 2))) in x 0.898 * [taylor]: Taking taylor expansion of (/ (pow y 2) (pow x 2)) in x 0.898 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.898 * [taylor]: Taking taylor expansion of y in x 0.898 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.899 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (pow y 2)) (* 2 (log x))))) in y 0.899 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (pow y 2)) (* 2 (log x)))) in y 0.899 * [taylor]: Taking taylor expansion of 1/3 in y 0.899 * [taylor]: Taking taylor expansion of (- (log (pow y 2)) (* 2 (log x))) in y 0.899 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.899 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.899 * [taylor]: Taking taylor expansion of y in y 0.899 * [taylor]: Taking taylor expansion of (* 2 (log x)) in y 0.899 * [taylor]: Taking taylor expansion of 2 in y 0.899 * [taylor]: Taking taylor expansion of (log x) in y 0.900 * [taylor]: Taking taylor expansion of x in y 0.903 * [taylor]: Taking taylor expansion of 0 in y 0.910 * [taylor]: Taking taylor expansion of 0 in y 0.921 * [taylor]: Taking taylor expansion of 0 in y 0.921 * * * [progress]: simplifying candidates 0.923 * [simplify]: Simplifying using # : (expm1 (cbrt (/ x y))) (log1p (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))) (expm1 (cbrt (/ x y))) (log1p (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))) (expm1 (cbrt (/ x y))) (log1p (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))) (expm1 (* (cbrt (/ x y)) (cbrt (/ x y)))) (log1p (* (cbrt (/ x y)) (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)))))) 0.924 * [simplify]: Sending expressions to egg_math: (expm1 (cbrt (/ h0 h1))) (log1p (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) (* (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))) (expm1 (cbrt (/ h0 h1))) (log1p (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) (* (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 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2 (log (/ -1 h1))) (* 2 (log (/ -1 h0)))))) 0.929 * * [simplify]: iteration 0 : 267 enodes (cost 1139 ) 0.934 * * [simplify]: iteration 1 : 917 enodes (cost 1091 ) 0.953 * * [simplify]: iteration 2 : 3590 enodes (cost 1046 ) 0.990 * * [simplify]: iteration 3 : 5001 enodes (cost 1022 ) 0.995 * [simplify]: Simplified to: (expm1 (cbrt (/ x y))) (log1p (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 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(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 (/ 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)))) 0.996 * * * [progress]: adding candidates to table 1.427 * [progress]: [Phase 3 of 3] Extracting. 1.427 * * [regime]: Finding splitpoints for: (# # # # # # # #) 1.428 * * * [regime-changes]: Trying 3 branch expressions: ((* y y) y x) 1.428 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # # #) 1.451 * * * * [regimes]: Trying to branch on y from (# # # # # # # #) 1.473 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 1.497 * * * [regime]: Found split indices: #