14.519 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying using # : (/ (- x y) x) 0.015 * * [simplify]: iteration 0 : 9 enodes (cost 2 ) 0.016 * * [simplify]: iteration 1 : 13 enodes (cost 2 ) 0.018 * * [simplify]: iteration 2 : 17 enodes (cost 2 ) 0.019 * * [simplify]: iteration 3 : 17 enodes (cost 2 ) 0.019 * [simplify]: Simplified to: (/ (- x y) x) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.020 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.024 * * * [progress]: generating rewritten candidates 0.024 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.034 * * * [progress]: generating series expansions 0.034 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.034 * [approximate]: Taking taylor expansion of (/ (- x y) x) in (x y) around 0 0.034 * [taylor]: Taking taylor expansion of (/ (- x y) x) in y 0.034 * [taylor]: Taking taylor expansion of (- x y) in y 0.034 * [taylor]: Taking taylor expansion of x in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.034 * [taylor]: Taking taylor expansion of x in y 0.035 * [taylor]: Taking taylor expansion of (/ (- x y) x) in x 0.035 * [taylor]: Taking taylor expansion of (- x y) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (/ (- x y) x) in x 0.035 * [taylor]: Taking taylor expansion of (- x y) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.035 * [taylor]: Taking taylor expansion of -1 in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of 1 in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in (x y) around 0 0.040 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in y 0.040 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.040 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.040 * [taylor]: Taking taylor expansion of x in y 0.040 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 0.041 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 0.041 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [taylor]: Taking taylor expansion of 1 in y 0.044 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [approximate]: Taking taylor expansion of (* -1 (* x (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.050 * [taylor]: Taking taylor expansion of (* -1 (* x (- (/ 1 y) (/ 1 x)))) in y 0.050 * [taylor]: Taking taylor expansion of -1 in y 0.050 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of (* -1 (* x (- (/ 1 y) (/ 1 x)))) in x 0.050 * [taylor]: Taking taylor expansion of -1 in x 0.050 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (* -1 (* x (- (/ 1 y) (/ 1 x)))) in x 0.051 * [taylor]: Taking taylor expansion of -1 in x 0.051 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of 1 in y 0.055 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.063 * * * [progress]: simplifying candidates 0.064 * [simplify]: Simplifying using # : (expm1 (/ (- x y) x)) (log1p (/ (- x y) x)) (- (log (- x y)) (log x)) (log (/ (- x y) x)) (exp (/ (- x y) x)) (/ (* (* (- x y) (- x y)) (- x y)) (* (* x x) x)) (* (cbrt (/ (- x y) x)) (cbrt (/ (- x y) x))) (cbrt (/ (- x y) x)) (* (* (/ (- x y) x) (/ (- x y) x)) (/ (- x y) x)) (sqrt (/ (- x y) x)) (sqrt (/ (- x y) x)) (- (- x y)) (- x) (/ x x) (/ y x) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt x) (cbrt x))) (/ (cbrt (- x y)) (cbrt x)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt x)) (/ (cbrt (- x y)) (sqrt x)) (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (/ (cbrt (- x y)) x) (/ (sqrt (- x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (- x y)) (cbrt x)) (/ (sqrt (- x y)) (sqrt x)) (/ (sqrt (- x y)) (sqrt x)) (/ (sqrt (- x y)) 1) (/ (sqrt (- x y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- x y) (cbrt x)) (/ 1 (sqrt x)) (/ (- x y) (sqrt x)) (/ 1 1) (/ (- x y) x) (/ (+ (sqrt x) (sqrt y)) (* (cbrt x) (cbrt x))) (/ (- (sqrt x) (sqrt y)) (cbrt x)) (/ (+ (sqrt x) (sqrt y)) (sqrt x)) (/ (- (sqrt x) (sqrt y)) (sqrt x)) (/ (+ (sqrt x) (sqrt y)) 1) (/ (- (sqrt x) (sqrt y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- x y) (cbrt x)) (/ 1 (sqrt x)) (/ (- x y) (sqrt x)) (/ 1 1) (/ (- x y) x) (/ 1 x) (/ x (- x y)) (/ (- x y) (* (cbrt x) (cbrt x))) (/ (- x y) (sqrt x)) (/ (- x y) 1) (/ x (cbrt (- x y))) (/ x (sqrt (- x y))) (/ x (- x y)) (/ x (- (sqrt x) (sqrt y))) (/ x (- x y)) (* x (+ (* x x) (+ (* y y) (* x y)))) (* x (+ x y)) (- 1 (/ y x)) (- 1 (/ y x)) (- 1 (/ y x)) 0.068 * * [simplify]: iteration 0 : 152 enodes (cost 201 ) 0.071 * * [simplify]: iteration 1 : 461 enodes (cost 191 ) 0.080 * * [simplify]: iteration 2 : 2118 enodes (cost 190 ) 0.126 * * [simplify]: iteration 3 : 5002 enodes (cost 190 ) 0.128 * [simplify]: Simplified to: (expm1 (/ (- x y) x)) (log1p (/ (- x y) x)) (log (/ (- x y) x)) (log (/ (- x y) x)) (exp (/ (- x y) x)) (pow (- 1 (/ y x)) 3) (* (cbrt (/ (- x y) x)) (cbrt (/ (- x y) x))) (cbrt (/ (- x y) x)) (pow (- 1 (/ y x)) 3) (sqrt (/ (- x y) x)) (sqrt (/ (- x y) x)) (- (- x y)) (- x) 1 (/ y x) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt x) (cbrt x))) (/ (cbrt (- x y)) (cbrt x)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt x)) (/ (cbrt (- x y)) (sqrt x)) (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) x) (/ (sqrt (- x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (- x y)) (cbrt x)) (/ (sqrt (- x y)) (sqrt x)) (/ (sqrt (- x y)) (sqrt x)) (sqrt (- x y)) (/ (sqrt (- x y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- x y) (cbrt x)) (/ 1 (sqrt x)) (/ (- x y) (sqrt x)) 1 (- 1 (/ y x)) (/ (+ (sqrt x) (sqrt y)) (* (cbrt x) (cbrt x))) (/ (- (sqrt x) (sqrt y)) (cbrt x)) (/ (+ (sqrt x) (sqrt y)) (sqrt x)) (- 1 (/ (sqrt y) (sqrt x))) (+ (sqrt x) (sqrt y)) (/ (- (sqrt x) (sqrt y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (- x y) (cbrt x)) (/ 1 (sqrt x)) (/ (- x y) (sqrt x)) 1 (- 1 (/ y x)) (/ 1 x) (/ x (- x y)) (/ (- x y) (* (cbrt x) (cbrt x))) (/ (- x y) (sqrt x)) (- x y) (/ x (cbrt (- x y))) (/ x (sqrt (- x y))) (/ x (- x y)) (/ x (- (sqrt x) (sqrt y))) (/ x (- x y)) (* (fma x x (fma y y (* x y))) x) (* x (+ x y)) (- 1 (/ y x)) (- 1 (/ y x)) (- 1 (/ y x)) 0.128 * * * [progress]: adding candidates to table 0.201 * * [progress]: iteration 2 / 4 0.201 * * * [progress]: picking best candidate 0.203 * * * * [pick]: Picked # 0.203 * * * [progress]: localizing error 0.208 * * * [progress]: generating rewritten candidates 0.208 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.220 * * * [progress]: generating series expansions 0.220 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.220 * [approximate]: Taking taylor expansion of (- 1 (/ y x)) in (y x) around 0 0.220 * [taylor]: Taking taylor expansion of (- 1 (/ y x)) in x 0.220 * [taylor]: Taking taylor expansion of 1 in x 0.220 * [taylor]: Taking taylor expansion of (/ y x) in x 0.220 * [taylor]: Taking taylor expansion of y in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of (- 1 (/ y x)) in y 0.220 * [taylor]: Taking taylor expansion of 1 in y 0.220 * [taylor]: Taking taylor expansion of (/ y x) in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.220 * [taylor]: Taking taylor expansion of x in y 0.221 * [taylor]: Taking taylor expansion of (- 1 (/ y x)) in y 0.221 * [taylor]: Taking taylor expansion of 1 in y 0.221 * [taylor]: Taking taylor expansion of (/ y x) in y 0.221 * [taylor]: Taking taylor expansion of y in y 0.221 * [taylor]: Taking taylor expansion of x in y 0.221 * [taylor]: Taking taylor expansion of 1 in x 0.221 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of 0 in x 0.223 * [taylor]: Taking taylor expansion of 0 in x 0.225 * [taylor]: Taking taylor expansion of 0 in x 0.225 * [approximate]: Taking taylor expansion of (- 1 (/ x y)) in (y x) around 0 0.225 * [taylor]: Taking taylor expansion of (- 1 (/ x y)) in x 0.225 * [taylor]: Taking taylor expansion of 1 in x 0.225 * [taylor]: Taking taylor expansion of (/ x y) in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.225 * [taylor]: Taking taylor expansion of y in x 0.225 * [taylor]: Taking taylor expansion of (- 1 (/ x y)) in y 0.225 * [taylor]: Taking taylor expansion of 1 in y 0.225 * [taylor]: Taking taylor expansion of (/ x y) in y 0.225 * [taylor]: Taking taylor expansion of x in y 0.225 * [taylor]: Taking taylor expansion of y in y 0.225 * [taylor]: Taking taylor expansion of (- 1 (/ x y)) in y 0.225 * [taylor]: Taking taylor expansion of 1 in y 0.225 * [taylor]: Taking taylor expansion of (/ x y) in y 0.225 * [taylor]: Taking taylor expansion of x in y 0.225 * [taylor]: Taking taylor expansion of y in y 0.225 * [taylor]: Taking taylor expansion of (- x) in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of 1 in x 0.228 * [taylor]: Taking taylor expansion of 0 in x 0.230 * [taylor]: Taking taylor expansion of 0 in x 0.230 * [approximate]: Taking taylor expansion of (- 1 (/ x y)) in (y x) around 0 0.230 * [taylor]: Taking taylor expansion of (- 1 (/ x y)) in x 0.230 * [taylor]: Taking taylor expansion of 1 in x 0.230 * [taylor]: Taking taylor expansion of (/ x y) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of y in x 0.230 * [taylor]: Taking taylor expansion of (- 1 (/ x y)) in y 0.230 * [taylor]: Taking taylor expansion of 1 in y 0.230 * [taylor]: Taking taylor expansion of (/ x y) in y 0.230 * [taylor]: Taking taylor expansion of x in y 0.230 * [taylor]: Taking taylor expansion of y in y 0.230 * [taylor]: Taking taylor expansion of (- 1 (/ x y)) in y 0.231 * [taylor]: Taking taylor expansion of 1 in y 0.231 * [taylor]: Taking taylor expansion of (/ x y) in y 0.231 * [taylor]: Taking taylor expansion of x in y 0.231 * [taylor]: Taking taylor expansion of y in y 0.231 * [taylor]: Taking taylor expansion of (- x) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of 1 in x 0.233 * [taylor]: Taking taylor expansion of 0 in x 0.235 * [taylor]: Taking taylor expansion of 0 in x 0.235 * * * [progress]: simplifying candidates 0.237 * [simplify]: Simplifying using # : (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (cbrt (/ y x)) (* (cbrt (/ y x)) (cbrt (/ y x)))))) (fma (- (cbrt (/ y x))) (* (cbrt (/ y x)) (cbrt (/ y x))) (* (cbrt (/ y x)) (* (cbrt (/ y x)) (cbrt (/ y x))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (sqrt (/ y x)) (sqrt (/ y x))))) (fma (- (sqrt (/ y x))) (sqrt (/ y x)) (* (sqrt (/ y x)) (sqrt (/ y x)))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (/ (cbrt y) (cbrt x)) (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))))) (fma (- (/ (cbrt y) (cbrt x))) (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x))) (* (/ (cbrt y) (cbrt x)) (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (/ (cbrt y) (sqrt x)) (/ (* (cbrt y) (cbrt y)) (sqrt x))))) (fma (- (/ (cbrt y) (sqrt x))) (/ (* (cbrt y) (cbrt y)) (sqrt x)) (* (/ (cbrt y) (sqrt x)) (/ (* (cbrt y) (cbrt y)) (sqrt x)))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (/ (cbrt y) x) (/ (* (cbrt y) (cbrt y)) 1)))) (fma (- (/ (cbrt y) x)) (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) x) (/ (* (cbrt y) (cbrt y)) 1))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (/ (sqrt y) (cbrt x)) (/ (sqrt y) (* (cbrt x) (cbrt x)))))) (fma (- (/ (sqrt y) (cbrt x))) (/ (sqrt y) (* (cbrt x) (cbrt x))) (* (/ (sqrt y) (cbrt x)) (/ (sqrt y) (* (cbrt x) (cbrt x))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (/ (sqrt y) (sqrt x)) (/ (sqrt y) (sqrt x))))) (fma (- (/ (sqrt y) (sqrt x))) (/ (sqrt y) (sqrt x)) (* (/ (sqrt y) (sqrt x)) (/ (sqrt y) (sqrt x)))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (/ (sqrt y) x) (/ (sqrt y) 1)))) (fma (- (/ (sqrt y) x)) (/ (sqrt y) 1) (* (/ (sqrt y) x) (/ (sqrt y) 1))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (/ y (cbrt x)) (/ 1 (* (cbrt x) (cbrt x)))))) (fma (- (/ y (cbrt x))) (/ 1 (* (cbrt x) (cbrt x))) (* (/ y (cbrt x)) (/ 1 (* (cbrt x) (cbrt x))))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (/ y (sqrt x)) (/ 1 (sqrt x))))) (fma (- (/ y (sqrt x))) (/ 1 (sqrt x)) (* (/ y (sqrt x)) (/ 1 (sqrt x)))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (/ y x) (/ 1 1)))) (fma (- (/ y x)) (/ 1 1) (* (/ y x) (/ 1 1))) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (/ y x) 1))) (fma (- (/ y x)) 1 (* (/ y x) 1)) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (/ 1 x) y))) (fma (- (/ 1 x)) y (* (/ 1 x) y)) (fma (sqrt 1) (sqrt 1) (- (* (cbrt (/ y x)) (* (cbrt (/ y x)) (cbrt (/ y x)))))) (fma (- (cbrt (/ y x))) (* (cbrt (/ y x)) (cbrt (/ y x))) (* (cbrt (/ y x)) (* (cbrt (/ y x)) (cbrt (/ y x))))) (fma (sqrt 1) (sqrt 1) (- (* (sqrt (/ y x)) (sqrt (/ y x))))) (fma (- (sqrt (/ y x))) (sqrt (/ y x)) (* (sqrt (/ y x)) (sqrt (/ y x)))) (fma (sqrt 1) (sqrt 1) (- (* (/ (cbrt y) (cbrt x)) (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))))) (fma (- (/ (cbrt y) (cbrt x))) (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x))) (* (/ (cbrt y) (cbrt x)) (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x))))) (fma (sqrt 1) (sqrt 1) (- (* (/ (cbrt y) (sqrt x)) (/ (* (cbrt y) (cbrt y)) (sqrt x))))) (fma (- (/ (cbrt y) (sqrt x))) (/ (* (cbrt y) (cbrt y)) (sqrt x)) (* (/ (cbrt y) (sqrt x)) (/ (* (cbrt y) (cbrt y)) (sqrt x)))) (fma (sqrt 1) (sqrt 1) (- (* (/ (cbrt y) x) (/ (* (cbrt y) (cbrt y)) 1)))) (fma (- (/ (cbrt y) x)) (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) x) (/ (* (cbrt y) (cbrt y)) 1))) (fma (sqrt 1) (sqrt 1) (- (* (/ (sqrt y) (cbrt x)) (/ (sqrt y) (* (cbrt x) (cbrt x)))))) (fma (- (/ (sqrt y) (cbrt x))) (/ (sqrt y) (* (cbrt x) (cbrt x))) (* (/ (sqrt y) (cbrt x)) (/ (sqrt y) (* (cbrt x) (cbrt x))))) (fma (sqrt 1) (sqrt 1) (- (* (/ (sqrt y) (sqrt x)) (/ (sqrt y) (sqrt x))))) (fma (- (/ (sqrt y) (sqrt x))) (/ (sqrt y) (sqrt x)) (* (/ (sqrt y) (sqrt x)) (/ (sqrt y) (sqrt x)))) (fma (sqrt 1) (sqrt 1) (- (* (/ (sqrt y) x) (/ (sqrt y) 1)))) (fma (- (/ (sqrt y) x)) (/ (sqrt y) 1) (* (/ (sqrt y) x) (/ (sqrt y) 1))) (fma (sqrt 1) (sqrt 1) (- (* (/ y (cbrt x)) (/ 1 (* (cbrt x) (cbrt x)))))) (fma (- (/ y (cbrt x))) (/ 1 (* (cbrt x) (cbrt x))) (* (/ y (cbrt x)) (/ 1 (* (cbrt x) (cbrt x))))) (fma (sqrt 1) (sqrt 1) (- (* (/ y (sqrt x)) (/ 1 (sqrt x))))) (fma (- (/ y (sqrt x))) (/ 1 (sqrt x)) (* (/ y (sqrt x)) (/ 1 (sqrt x)))) (fma (sqrt 1) (sqrt 1) (- (* (/ y x) (/ 1 1)))) (fma (- (/ y x)) (/ 1 1) (* (/ y x) (/ 1 1))) (fma (sqrt 1) (sqrt 1) (- (* (/ y x) 1))) (fma (- (/ y x)) 1 (* (/ y x) 1)) (fma (sqrt 1) (sqrt 1) (- (* (/ 1 x) y))) (fma (- (/ 1 x)) y (* (/ 1 x) y)) (fma 1 1 (- (* (cbrt (/ y x)) (* (cbrt (/ y x)) (cbrt (/ y x)))))) (fma (- (cbrt (/ y x))) (* (cbrt (/ y x)) (cbrt (/ y x))) (* (cbrt (/ y x)) (* (cbrt (/ y x)) (cbrt (/ y x))))) (fma 1 1 (- (* (sqrt (/ y x)) (sqrt (/ y x))))) (fma (- (sqrt (/ y x))) (sqrt (/ y x)) (* (sqrt (/ y x)) (sqrt (/ y x)))) (fma 1 1 (- (* (/ (cbrt y) (cbrt x)) (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))))) (fma (- (/ (cbrt y) (cbrt x))) (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x))) (* (/ (cbrt y) (cbrt x)) (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x))))) (fma 1 1 (- (* (/ (cbrt y) (sqrt x)) (/ (* (cbrt y) (cbrt y)) (sqrt x))))) (fma (- (/ (cbrt y) (sqrt x))) (/ (* (cbrt y) (cbrt y)) (sqrt x)) (* (/ (cbrt y) (sqrt x)) (/ (* (cbrt y) (cbrt y)) (sqrt x)))) (fma 1 1 (- (* (/ (cbrt y) x) (/ (* (cbrt y) (cbrt y)) 1)))) (fma (- (/ (cbrt y) x)) (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) x) (/ (* (cbrt y) (cbrt y)) 1))) (fma 1 1 (- (* (/ (sqrt y) (cbrt x)) (/ (sqrt y) (* (cbrt x) (cbrt x)))))) (fma (- (/ (sqrt y) (cbrt x))) (/ (sqrt y) (* (cbrt x) (cbrt x))) (* (/ (sqrt y) (cbrt x)) (/ (sqrt y) (* (cbrt x) (cbrt x))))) (fma 1 1 (- (* (/ (sqrt y) (sqrt x)) (/ (sqrt y) (sqrt x))))) (fma (- (/ (sqrt y) (sqrt x))) (/ (sqrt y) (sqrt x)) (* (/ (sqrt y) (sqrt x)) (/ (sqrt y) (sqrt x)))) (fma 1 1 (- (* (/ (sqrt y) x) (/ (sqrt y) 1)))) (fma (- (/ (sqrt y) x)) (/ (sqrt y) 1) (* (/ (sqrt y) x) (/ (sqrt y) 1))) (fma 1 1 (- (* (/ y (cbrt x)) (/ 1 (* (cbrt x) (cbrt x)))))) (fma (- (/ y (cbrt x))) (/ 1 (* (cbrt x) (cbrt x))) (* (/ y (cbrt x)) (/ 1 (* (cbrt x) (cbrt x))))) (fma 1 1 (- (* (/ y (sqrt x)) (/ 1 (sqrt x))))) (fma (- (/ y (sqrt x))) (/ 1 (sqrt x)) (* (/ y (sqrt x)) (/ 1 (sqrt x)))) (fma 1 1 (- (* (/ y x) (/ 1 1)))) (fma (- (/ y x)) (/ 1 1) (* (/ y x) (/ 1 1))) (fma 1 1 (- (* (/ y x) 1))) (fma (- (/ y x)) 1 (* (/ y x) 1)) (fma 1 1 (- (* (/ 1 x) y))) (fma (- (/ 1 x)) y (* (/ 1 x) y)) (expm1 (- 1 (/ y x))) (log1p (- 1 (/ y x))) (- (/ y x)) (- (/ y x)) (- (/ y x)) (/ (exp 1) (exp (/ y x))) (log (- 1 (/ y x))) (exp (- 1 (/ y x))) (* (cbrt (- 1 (/ y x))) (cbrt (- 1 (/ y x)))) (cbrt (- 1 (/ y x))) (* (* (- 1 (/ y x)) (- 1 (/ y x))) (- 1 (/ y x))) (sqrt (- 1 (/ y x))) (sqrt (- 1 (/ y x))) (- (pow 1 3) (pow (/ y x) 3)) (+ (* 1 1) (+ (* (/ y x) (/ y x)) (* 1 (/ y x)))) (- (/ y x)) (- (* 1 1) (* (/ y x) (/ y x))) (+ 1 (/ y x)) (+ (sqrt 1) (sqrt (/ y x))) (- (sqrt 1) (sqrt (/ y x))) (+ (sqrt 1) (/ (sqrt y) (sqrt x))) (- (sqrt 1) (/ (sqrt y) (sqrt x))) (+ 1 (sqrt (/ y x))) (- 1 (sqrt (/ y x))) (+ 1 (/ (sqrt y) (sqrt x))) (- 1 (/ (sqrt y) (sqrt x))) (- 1 (/ y x)) (- (/ y x)) (- 1 (/ y x)) (- 1 (/ y x)) (- 1 (/ y x)) 0.244 * * [simplify]: iteration 0 : 364 enodes (cost 974 ) 0.251 * * [simplify]: iteration 1 : 1366 enodes (cost 576 ) 0.276 * * [simplify]: iteration 2 : 5002 enodes (cost 498 ) 0.279 * [simplify]: Simplified to: (- 1 (/ y x)) (fma (- (/ y x)) 1 (/ y x)) (- 1 (/ y x)) (fma (- (/ y x)) 1 (/ y x)) (- 1 (pow (/ (cbrt y) (cbrt x)) 3)) (* (/ 1 (* (cbrt x) (cbrt x))) (+ (- (/ y (cbrt x))) (/ y (cbrt x)))) (- 1 (* (/ y (sqrt x)) (/ 1 (sqrt x)))) (* (/ y (sqrt x)) (+ (- (/ 1 (sqrt x))) (/ 1 (sqrt x)))) (- 1 (/ y x)) (fma (- (/ y x)) 1 (/ y x)) (- 1 (pow (/ (cbrt y) (cbrt x)) 3)) (* (/ 1 (* (cbrt x) (cbrt x))) (+ (- (/ y (cbrt x))) (/ y (cbrt x)))) (- 1 (* (/ y (sqrt x)) (/ 1 (sqrt x)))) (* (/ y (sqrt x)) (+ (- (/ 1 (sqrt x))) (/ 1 (sqrt x)))) (- 1 (/ y x)) (fma (- (/ y x)) 1 (/ y x)) (- 1 (pow (/ (cbrt y) (cbrt x)) 3)) (* (/ 1 (* (cbrt x) (cbrt x))) (+ (- (/ y (cbrt x))) (/ y (cbrt x)))) (- 1 (* (/ y (sqrt x)) (/ 1 (sqrt x)))) (* (/ y (sqrt x)) (+ (- (/ 1 (sqrt x))) (/ 1 (sqrt x)))) (- 1 (/ y x)) (fma (- (/ y x)) 1 (/ y x)) (- 1 (/ y x)) (fma (- (/ y x)) 1 (/ y x)) (- 1 (/ y x)) (fma (- (/ y x)) 1 (/ y x)) (- 1 (/ y x)) (fma (- (/ y x)) 1 (/ y x)) (- 1 (/ y x)) (fma (- (/ y x)) 1 (/ y x)) (- 1 (pow (/ (cbrt y) (cbrt x)) 3)) (* (/ 1 (* (cbrt x) (cbrt x))) (+ (- (/ y (cbrt x))) (/ y (cbrt x)))) (- 1 (* (/ y (sqrt x)) (/ 1 (sqrt x)))) (* (/ y (sqrt x)) (+ (- (/ 1 (sqrt x))) (/ 1 (sqrt x)))) (- 1 (/ y x)) (fma (- (/ y x)) 1 (/ y x)) (- 1 (pow (/ (cbrt y) (cbrt x)) 3)) (* (/ 1 (* (cbrt x) (cbrt x))) (+ (- (/ y (cbrt x))) (/ y (cbrt x)))) (- 1 (* (/ y (sqrt x)) (/ 1 (sqrt x)))) (* (/ y (sqrt x)) (+ (- (/ 1 (sqrt x))) (/ 1 (sqrt x)))) (- 1 (/ y x)) (fma (- (/ y x)) 1 (/ y x)) (- 1 (pow (/ (cbrt y) (cbrt x)) 3)) (* (/ 1 (* (cbrt x) (cbrt x))) (+ (- (/ y (cbrt x))) (/ y (cbrt x)))) (- 1 (* (/ y (sqrt x)) (/ 1 (sqrt x)))) (* (/ y (sqrt x)) (+ (- (/ 1 (sqrt x))) (/ 1 (sqrt x)))) (- 1 (/ y x)) (fma (- (/ y x)) 1 (/ y x)) (- 1 (/ y x)) (fma (- (/ y x)) 1 (/ y x)) (- 1 (/ y x)) (fma (- (/ y x)) 1 (/ y x)) (- 1 (/ y x)) (fma (- (/ y x)) 1 (/ y x)) (- 1 (/ y x)) (fma (- (/ y x)) 1 (/ y x)) (- 1 (pow (/ (cbrt y) (cbrt x)) 3)) (* (/ 1 (* (cbrt x) (cbrt x))) (+ (- (/ y (cbrt x))) (/ y (cbrt x)))) (- 1 (* (/ y (sqrt x)) (/ 1 (sqrt x)))) (* (/ y (sqrt x)) (+ (- (/ 1 (sqrt x))) (/ 1 (sqrt x)))) (- 1 (/ y x)) (fma (- (/ y x)) 1 (/ y x)) (- 1 (pow (/ (cbrt y) (cbrt x)) 3)) (* (/ 1 (* (cbrt x) (cbrt x))) (+ (- (/ y (cbrt x))) (/ y (cbrt x)))) (- 1 (* (/ y (sqrt x)) (/ 1 (sqrt x)))) (* (/ y (sqrt x)) (+ (- (/ 1 (sqrt x))) (/ 1 (sqrt x)))) (- 1 (/ y x)) (fma (- (/ y x)) 1 (/ y x)) (- 1 (pow (/ (cbrt y) (cbrt x)) 3)) (* (/ 1 (* (cbrt x) (cbrt x))) (+ (- (/ y (cbrt x))) (/ y (cbrt x)))) (- 1 (* (/ y (sqrt x)) (/ 1 (sqrt x)))) (* (/ y (sqrt x)) (+ (- (/ 1 (sqrt x))) (/ 1 (sqrt x)))) (- 1 (/ y x)) (fma (- (/ y x)) 1 (/ y x)) (- 1 (/ y x)) (fma (- (/ y x)) 1 (/ y x)) (- 1 (/ y x)) (fma (- (/ y x)) 1 (/ y x)) (expm1 (- 1 (/ y x))) (log1p (- 1 (/ y x))) (- (/ y x)) (- (/ y x)) (- (/ y x)) (exp (- 1 (/ y x))) (log (- 1 (/ y x))) (exp (- 1 (/ y x))) (* (cbrt (- 1 (/ y x))) (cbrt (- 1 (/ y x)))) (cbrt (- 1 (/ y x))) (pow (- 1 (/ y x)) 3) (sqrt (- 1 (/ y x))) (sqrt (- 1 (/ y x))) (- 1 (pow (/ y x) 3)) (fma (/ y x) (+ 1 (/ y x)) 1) (- (/ y x)) (- 1 (* (/ y x) (/ y x))) (+ 1 (/ y x)) (+ 1 (sqrt (/ y x))) (- 1 (sqrt (/ y x))) (+ 1 (/ (sqrt y) (sqrt x))) (- 1 (/ (sqrt y) (sqrt x))) (+ 1 (sqrt (/ y x))) (- 1 (sqrt (/ y x))) (+ 1 (/ (sqrt y) (sqrt x))) (- 1 (/ (sqrt y) (sqrt x))) (- 1 (/ y x)) (- (/ y x)) (- 1 (/ y x)) (- 1 (/ y x)) (- 1 (/ y x)) 0.280 * * * [progress]: adding candidates to table 0.329 * * [progress]: iteration 3 / 4 0.329 * * * [progress]: picking best candidate 0.332 * * * * [pick]: Picked # 0.332 * * * [progress]: localizing error 0.337 * * * [progress]: generating rewritten candidates 0.337 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.348 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.360 * * * [progress]: generating series expansions 0.360 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.360 * [approximate]: Taking taylor expansion of (/ (- x y) x) in (x y) around 0 0.360 * [taylor]: Taking taylor expansion of (/ (- x y) x) in y 0.360 * [taylor]: Taking taylor expansion of (- x y) in y 0.360 * [taylor]: Taking taylor expansion of x in y 0.360 * [taylor]: Taking taylor expansion of y in y 0.360 * [taylor]: Taking taylor expansion of x in y 0.361 * [taylor]: Taking taylor expansion of (/ (- x y) x) in x 0.361 * [taylor]: Taking taylor expansion of (- x y) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of y in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (/ (- x y) x) in x 0.361 * [taylor]: Taking taylor expansion of (- x y) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of y in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.361 * [taylor]: Taking taylor expansion of -1 in y 0.361 * [taylor]: Taking taylor expansion of y in y 0.363 * [taylor]: Taking taylor expansion of 1 in y 0.364 * [taylor]: Taking taylor expansion of 0 in y 0.366 * [taylor]: Taking taylor expansion of 0 in y 0.367 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in (x y) around 0 0.367 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in y 0.367 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.367 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.367 * [taylor]: Taking taylor expansion of x in y 0.367 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.367 * [taylor]: Taking taylor expansion of x in y 0.367 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 0.367 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.367 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.367 * [taylor]: Taking taylor expansion of y in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.367 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 0.367 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.368 * [taylor]: Taking taylor expansion of y in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of 0 in y 0.369 * [taylor]: Taking taylor expansion of 1 in y 0.371 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.371 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.371 * [taylor]: Taking taylor expansion of y in y 0.373 * [taylor]: Taking taylor expansion of 0 in y 0.376 * [taylor]: Taking taylor expansion of 0 in y 0.377 * [approximate]: Taking taylor expansion of (* -1 (* x (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.377 * [taylor]: Taking taylor expansion of (* -1 (* x (- (/ 1 y) (/ 1 x)))) in y 0.377 * [taylor]: Taking taylor expansion of -1 in y 0.377 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in y 0.377 * [taylor]: Taking taylor expansion of x in y 0.377 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.377 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.377 * [taylor]: Taking taylor expansion of y in y 0.377 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.377 * [taylor]: Taking taylor expansion of x in y 0.377 * [taylor]: Taking taylor expansion of (* -1 (* x (- (/ 1 y) (/ 1 x)))) in x 0.377 * [taylor]: Taking taylor expansion of -1 in x 0.377 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.377 * [taylor]: Taking taylor expansion of y in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (* -1 (* x (- (/ 1 y) (/ 1 x)))) in x 0.378 * [taylor]: Taking taylor expansion of -1 in x 0.378 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.378 * [taylor]: Taking taylor expansion of y in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of 0 in y 0.380 * [taylor]: Taking taylor expansion of 1 in y 0.383 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.383 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.383 * [taylor]: Taking taylor expansion of y in y 0.386 * [taylor]: Taking taylor expansion of 0 in y 0.390 * [taylor]: Taking taylor expansion of 0 in y 0.390 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.391 * [approximate]: Taking taylor expansion of (/ x (- x y)) in (x y) around 0 0.391 * [taylor]: Taking taylor expansion of (/ x (- x y)) in y 0.391 * [taylor]: Taking taylor expansion of x in y 0.391 * [taylor]: Taking taylor expansion of (- x y) in y 0.391 * [taylor]: Taking taylor expansion of x in y 0.391 * [taylor]: Taking taylor expansion of y in y 0.391 * [taylor]: Taking taylor expansion of (/ x (- x y)) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of (- x y) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of y in x 0.391 * [taylor]: Taking taylor expansion of (/ x (- x y)) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of (- x y) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of y in x 0.391 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.391 * [taylor]: Taking taylor expansion of -1 in y 0.391 * [taylor]: Taking taylor expansion of y in y 0.393 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.393 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.393 * [taylor]: Taking taylor expansion of y in y 0.396 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.396 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.403 * [approximate]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) x)) in (x y) around 0 0.403 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) x)) in y 0.403 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in y 0.403 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.403 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.403 * [taylor]: Taking taylor expansion of x in y 0.403 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.403 * [taylor]: Taking taylor expansion of y in y 0.403 * [taylor]: Taking taylor expansion of x in y 0.404 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) x)) in x 0.404 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 0.404 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.404 * [taylor]: Taking taylor expansion of y in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) x)) in x 0.406 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 0.406 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.406 * [taylor]: Taking taylor expansion of y in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of 1 in y 0.413 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.413 * [taylor]: Taking taylor expansion of y in y 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.416 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.416 * [taylor]: Taking taylor expansion of y in y 0.420 * [approximate]: Taking taylor expansion of (/ -1 (* x (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.420 * [taylor]: Taking taylor expansion of (/ -1 (* x (- (/ 1 y) (/ 1 x)))) in y 0.420 * [taylor]: Taking taylor expansion of -1 in y 0.420 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in y 0.420 * [taylor]: Taking taylor expansion of x in y 0.420 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.420 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.420 * [taylor]: Taking taylor expansion of y in y 0.420 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.420 * [taylor]: Taking taylor expansion of x in y 0.421 * [taylor]: Taking taylor expansion of (/ -1 (* x (- (/ 1 y) (/ 1 x)))) in x 0.421 * [taylor]: Taking taylor expansion of -1 in x 0.421 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.421 * [taylor]: Taking taylor expansion of y in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of (/ -1 (* x (- (/ 1 y) (/ 1 x)))) in x 0.423 * [taylor]: Taking taylor expansion of -1 in x 0.423 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of 1 in y 0.428 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.428 * [taylor]: Taking taylor expansion of y in y 0.432 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.432 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.432 * [taylor]: Taking taylor expansion of y in y 0.435 * * * [progress]: simplifying candidates 0.439 * [simplify]: Simplifying using # : (expm1 (/ 1 (/ x (- x y)))) (log1p (/ 1 (/ x (- x y)))) (- 1) (- (- (log x) (log (- x y)))) (- (log (/ x (- x y)))) (- 0 (- (log x) (log (- x y)))) (- 0 (log (/ x (- x y)))) (- (log 1) (- (log x) (log (- x y)))) (- (log 1) (log (/ x (- x y)))) (log (/ 1 (/ x (- x y)))) (exp (/ 1 (/ x (- x y)))) (/ (* (* 1 1) 1) (/ (* (* x x) x) (* (* (- x y) (- x y)) (- x y)))) (/ (* (* 1 1) 1) (* (* (/ x (- x y)) (/ x (- x y))) (/ x (- x y)))) (* (cbrt (/ 1 (/ x (- x y)))) (cbrt (/ 1 (/ x (- x y))))) (cbrt (/ 1 (/ x (- x y)))) (* (* (/ 1 (/ x (- x y))) (/ 1 (/ x (- x y)))) (/ 1 (/ x (- x y)))) (sqrt (/ 1 (/ x (- x y)))) (sqrt (/ 1 (/ x (- x y)))) (- 1) (- (/ x (- x y))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ x (- x y))) (cbrt (/ x (- x y))))) (/ (cbrt 1) (cbrt (/ x (- x y)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ x (- x y)))) (/ (cbrt 1) (sqrt (/ x (- x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (- x y)) (cbrt (- x y))))) (/ (cbrt 1) (/ (cbrt x) (cbrt (- x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt x) (cbrt x)) (sqrt (- x y)))) (/ (cbrt 1) (/ (cbrt x) (sqrt (- x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt x) (cbrt x)) 1)) (/ (cbrt 1) (/ (cbrt x) (- x y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt x) (cbrt x)) (+ (sqrt x) (sqrt y)))) (/ (cbrt 1) (/ (cbrt x) (- (sqrt x) (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt x) (cbrt x)) 1)) (/ (cbrt 1) (/ (cbrt x) (- x y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt x) (* (cbrt (- x y)) (cbrt (- x y))))) (/ (cbrt 1) (/ (sqrt x) (cbrt (- x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt x) (sqrt (- x y)))) (/ (cbrt 1) (/ (sqrt x) (sqrt (- x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt x) 1)) (/ (cbrt 1) (/ (sqrt x) (- x y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt x) (+ (sqrt x) (sqrt y)))) (/ (cbrt 1) (/ (sqrt x) (- (sqrt x) (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt x) 1)) (/ (cbrt 1) (/ (sqrt x) (- x y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y))))) (/ (cbrt 1) (/ x (cbrt (- x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (- x y)))) (/ (cbrt 1) (/ x (sqrt (- x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ x (- x y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (+ (sqrt x) (sqrt y)))) (/ (cbrt 1) (/ x (- (sqrt x) (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ x (- x y))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ x (- x y))) (/ (* (cbrt 1) (cbrt 1)) x) (/ (cbrt 1) (/ 1 (- x y))) (/ (* (cbrt 1) (cbrt 1)) (/ x (- (pow x 3) (pow y 3)))) (/ (cbrt 1) (+ (* x x) (+ (* y y) (* x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ x (- (* x x) (* y y)))) (/ (cbrt 1) (+ x y)) (/ (sqrt 1) (* (cbrt (/ x (- x y))) (cbrt (/ x (- x y))))) (/ (sqrt 1) (cbrt (/ x (- x y)))) (/ (sqrt 1) (sqrt (/ x (- x y)))) (/ (sqrt 1) (sqrt (/ x (- x y)))) (/ (sqrt 1) (/ (* (cbrt x) (cbrt x)) (* (cbrt (- x y)) (cbrt (- x y))))) (/ (sqrt 1) (/ (cbrt x) (cbrt (- x y)))) (/ (sqrt 1) (/ (* (cbrt x) (cbrt x)) (sqrt (- x y)))) (/ (sqrt 1) (/ (cbrt x) (sqrt (- x y)))) (/ (sqrt 1) (/ (* (cbrt x) (cbrt x)) 1)) (/ (sqrt 1) (/ (cbrt x) (- x y))) (/ (sqrt 1) (/ (* (cbrt x) (cbrt x)) (+ (sqrt x) (sqrt y)))) (/ (sqrt 1) (/ (cbrt x) (- (sqrt x) (sqrt y)))) (/ (sqrt 1) (/ (* (cbrt x) (cbrt x)) 1)) (/ (sqrt 1) (/ (cbrt x) (- x y))) (/ (sqrt 1) (/ (sqrt x) (* (cbrt (- x y)) (cbrt (- x y))))) (/ (sqrt 1) (/ (sqrt x) (cbrt (- x y)))) (/ (sqrt 1) (/ (sqrt x) (sqrt (- x y)))) (/ (sqrt 1) (/ (sqrt x) (sqrt (- x y)))) (/ (sqrt 1) (/ (sqrt x) 1)) (/ (sqrt 1) (/ (sqrt x) (- x y))) (/ (sqrt 1) (/ (sqrt x) (+ (sqrt x) (sqrt y)))) (/ (sqrt 1) (/ (sqrt x) (- (sqrt x) (sqrt y)))) (/ (sqrt 1) (/ (sqrt x) 1)) (/ (sqrt 1) (/ (sqrt x) (- x y))) (/ (sqrt 1) (/ 1 (* (cbrt (- x y)) (cbrt (- x y))))) (/ (sqrt 1) (/ x (cbrt (- x y)))) (/ (sqrt 1) (/ 1 (sqrt (- x y)))) (/ (sqrt 1) (/ x (sqrt (- x y)))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ x (- x y))) (/ (sqrt 1) (/ 1 (+ (sqrt x) (sqrt y)))) (/ (sqrt 1) (/ x (- (sqrt x) (sqrt y)))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ x (- x y))) (/ (sqrt 1) 1) (/ (sqrt 1) (/ x (- x y))) (/ (sqrt 1) x) (/ (sqrt 1) (/ 1 (- x y))) (/ (sqrt 1) (/ x (- (pow x 3) (pow y 3)))) (/ (sqrt 1) (+ (* x x) (+ (* y y) (* x y)))) (/ (sqrt 1) (/ x (- (* x x) (* y y)))) (/ (sqrt 1) (+ x y)) (/ 1 (* (cbrt (/ x (- x y))) (cbrt (/ x (- x y))))) (/ 1 (cbrt (/ x (- x y)))) (/ 1 (sqrt (/ x (- x y)))) (/ 1 (sqrt (/ x (- x y)))) (/ 1 (/ (* (cbrt x) (cbrt x)) (* (cbrt (- x y)) (cbrt (- x y))))) (/ 1 (/ (cbrt x) (cbrt (- x y)))) (/ 1 (/ (* (cbrt x) (cbrt x)) (sqrt (- x y)))) (/ 1 (/ (cbrt x) (sqrt (- x y)))) (/ 1 (/ (* (cbrt x) (cbrt x)) 1)) (/ 1 (/ (cbrt x) (- x y))) (/ 1 (/ (* (cbrt x) (cbrt x)) (+ (sqrt x) (sqrt y)))) (/ 1 (/ (cbrt x) (- (sqrt x) (sqrt y)))) (/ 1 (/ (* (cbrt x) (cbrt x)) 1)) (/ 1 (/ (cbrt x) (- x y))) (/ 1 (/ (sqrt x) (* (cbrt (- x y)) (cbrt (- x y))))) (/ 1 (/ (sqrt x) (cbrt (- x 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(sqrt y)))) (/ 1 (/ (* (cbrt x) (cbrt x)) 1)) (/ 1 (/ (sqrt x) (* (cbrt (- x y)) (cbrt (- x y))))) (/ 1 (/ (sqrt x) (sqrt (- x y)))) (/ 1 (/ (sqrt x) 1)) (/ 1 (/ (sqrt x) (+ (sqrt x) (sqrt y)))) (/ 1 (/ (sqrt x) 1)) (/ 1 (/ 1 (* (cbrt (- x y)) (cbrt (- x y))))) (/ 1 (/ 1 (sqrt (- x y)))) (/ 1 (/ 1 1)) (/ 1 (/ 1 (+ (sqrt x) (sqrt y)))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 x) (/ 1 (/ x (- (pow x 3) (pow y 3)))) (/ 1 (/ x (- (* x x) (* y y)))) (/ (/ x (- x y)) (cbrt 1)) (/ (/ x (- x y)) (sqrt 1)) (/ (/ x (- x y)) 1) (/ 1 x) (expm1 (/ x (- x y))) (log1p (/ x (- x y))) (- (log x) (log (- x y))) (log (/ x (- x y))) (exp (/ x (- x y))) (/ (* (* x x) x) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (/ x (- x y))) (cbrt (/ x (- x y)))) (cbrt (/ x (- x y))) (* (* (/ x (- x y)) (/ x (- x y))) (/ x (- x y))) (sqrt (/ x (- x y))) (sqrt (/ x (- x y))) (- x) (- (- x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (cbrt x) (cbrt (- x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (- x y))) (/ (cbrt x) (sqrt (- x y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (- x y)) (/ (* (cbrt x) (cbrt x)) (+ (sqrt x) (sqrt y))) (/ (cbrt x) (- (sqrt x) (sqrt y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (- x y)) (/ (sqrt x) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt x) (cbrt (- x y))) (/ (sqrt x) (sqrt (- x y))) (/ (sqrt x) (sqrt (- x y))) (/ (sqrt x) 1) (/ (sqrt x) (- x y)) (/ (sqrt x) (+ (sqrt x) (sqrt y))) (/ (sqrt x) (- (sqrt x) (sqrt y))) (/ (sqrt x) 1) (/ (sqrt x) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ x (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ x (sqrt (- x y))) (/ 1 1) (/ x (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ x (- (sqrt x) (sqrt y))) (/ 1 1) (/ x (- x y)) (/ 1 (- x y)) (/ (- x y) x) (/ x (* (cbrt (- x y)) (cbrt (- x y)))) (/ x (sqrt (- x y))) (/ x 1) (/ x (+ (sqrt x) (sqrt y))) (/ x 1) (/ (- x y) (cbrt x)) (/ (- x y) (sqrt x)) (/ (- x y) x) (/ x (- (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) (- 1 (/ y x)) (- 1 (/ y x)) (- 1 (/ y x)) 0 0 0 0.446 * * [simplify]: iteration 0 : 438 enodes (cost 1061 ) 0.455 * * [simplify]: iteration 1 : 2045 enodes (cost 946 ) 0.482 * * [simplify]: iteration 2 : 5002 enodes (cost 819 ) 0.487 * [simplify]: Simplified to: (expm1 (/ 1 (/ x (- x y)))) (log1p (/ 1 (/ x (- x y)))) (- 1) (log1p (- (/ y x))) (log1p (- (/ y x))) (log1p (- (/ y x))) (log1p (- (/ y x))) (log1p (- (/ y x))) (log1p (- (/ y x))) (log1p (- (/ y x))) (exp (/ 1 (/ x (- x y)))) (pow (/ (- x y) x) 3) (pow (/ (- x y) x) 3) (* (cbrt (/ 1 (/ x (- x y)))) (cbrt (/ 1 (/ x (- x y))))) (cbrt (/ 1 (/ x (- x y)))) (pow (/ (- x y) x) 3) (sqrt (/ 1 (/ x (- x y)))) (sqrt (/ 1 (/ x (- x y)))) (- 1) (- (/ x (- x y))) (/ (/ 1 (cbrt (/ x (- x y)))) (cbrt (/ x (- x y)))) (/ 1 (cbrt (/ x (- x y)))) (/ 1 (sqrt (/ x (- x y)))) (/ 1 (sqrt (/ x (- x y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt x) (cbrt x))) (/ (cbrt (- x y)) (cbrt x)) (/ (sqrt (- x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (- x y)) (cbrt x)) (/ 1 (* (cbrt x) (cbrt x))) (/ (- x y) (cbrt x)) (/ (+ (sqrt x) (sqrt y)) (* 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x y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt x) (cbrt x))) (/ (sqrt (- x y)) (* (cbrt x) (cbrt x))) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ (sqrt x) (sqrt y)) (* (cbrt x) (cbrt x))) (/ 1 (* (cbrt x) (cbrt x))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt x)) (/ (sqrt (- x y)) (sqrt x)) (/ 1 (sqrt x)) (/ (+ (sqrt x) (sqrt y)) (sqrt x)) (/ 1 (sqrt x)) (* (cbrt (- x y)) (cbrt (- x y))) (sqrt (- x y)) 1 (+ (sqrt x) (sqrt y)) 1 1 (/ 1 x) (/ 1 (/ x (- (pow x 3) (pow y 3)))) (* (/ (- x y) x) (+ x y)) (/ x (- x y)) (/ x (- x y)) (/ x (- x y)) (/ 1 x) (expm1 (/ x (- x y))) (log1p (/ x (- x y))) (log (/ x (- x y))) (log (/ x (- x y))) (exp (/ x (- x y))) (pow (/ x (- x y)) 3) (* (cbrt (/ x (- x y))) (cbrt (/ x (- x y)))) (cbrt (/ x (- x y))) (pow (/ x (- x y)) 3) (sqrt (/ x (- x y))) (sqrt (/ x (- x y))) (- x) (- (- x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (cbrt x) (cbrt (- x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (- x y))) (/ (cbrt x) (sqrt (- x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (- x y)) (/ (* (cbrt x) (cbrt x)) (+ (sqrt x) (sqrt y))) (/ (cbrt x) (- (sqrt x) (sqrt y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (- x y)) (/ (sqrt x) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt x) (cbrt (- x y))) (/ (sqrt x) (sqrt (- x y))) (/ (sqrt x) (sqrt (- x y))) (sqrt x) (/ (sqrt x) (- x y)) (/ (sqrt x) (+ (sqrt x) (sqrt y))) (/ (sqrt x) (- (sqrt x) (sqrt y))) (sqrt x) (/ (sqrt x) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ x (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ x (sqrt (- x y))) 1 (/ x (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ x (- (sqrt x) (sqrt y))) 1 (/ x (- x y)) (/ 1 (- x y)) (/ (- x y) x) (/ x (* (cbrt (- x y)) (cbrt (- x y)))) (/ x (sqrt (- x y))) x (/ x (+ (sqrt x) (sqrt y))) x (/ (- x y) (cbrt x)) (/ (- x y) (sqrt x)) (/ (- x y) x) (/ x (- (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) (/ (- x y) x) (/ (- x y) x) (/ (- x y) x) 0 0 0 0.487 * * * [progress]: adding candidates to table 0.669 * [progress]: [Phase 3 of 3] Extracting. 0.669 * * [regime]: Finding splitpoints for: (# #) 0.669 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.669 * * * * [regimes]: Trying to branch on y from (# #) 0.679 * * * * [regimes]: Trying to branch on x from (# #) 0.689 * * * [regime]: Found split indices: #