4.284 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying using # : (/ x (+ y x)) 0.013 * [simplify]: Sending expressions to egg_math: (/ h0 (+ h1 h0)) 0.016 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.018 * * [simplify]: iteration 1 : 5 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 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.041 * * * [progress]: generating series expansions 0.041 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.042 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.042 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [taylor]: Taking taylor expansion of (+ x y) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (+ x y) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (+ x y) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.048 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.055 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.055 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.055 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.055 * [taylor]: Taking taylor expansion of x in y 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.055 * [taylor]: Taking taylor expansion of x in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.056 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.056 * [taylor]: Taking taylor expansion of y in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.058 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of 1 in y 0.063 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.071 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.071 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.071 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.072 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.072 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.073 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of 1 in y 0.077 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.080 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.084 * * * [progress]: simplifying candidates 0.085 * [simplify]: Simplifying using # : (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (- (log x) (log (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (/ (* (* x x) x) (* (* (+ y x) (+ y x)) (+ y 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)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (/ 1 1) (/ x (+ y x)) (/ 1 1) (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) (/ x 1) (/ x 1) (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0.085 * [simplify]: Sending expressions to egg_math: (expm1 (/ h0 (+ h1 h0))) (log1p (/ h0 (+ h1 h0))) (- (log h0) (log (+ h1 h0))) (log (/ h0 (+ h1 h0))) (exp (/ h0 (+ h1 h0))) (/ (* (* h0 h0) h0) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (* (cbrt (/ h0 (+ h1 h0))) (cbrt (/ h0 (+ h1 h0)))) (cbrt (/ h0 (+ h1 h0))) (* (* (/ h0 (+ h1 h0)) (/ h0 (+ h1 h0))) (/ h0 (+ h1 h0))) (sqrt (/ h0 (+ h1 h0))) (sqrt (/ h0 (+ h1 h0))) (- h0) (- (+ h1 h0)) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ (cbrt h0) (cbrt (+ h1 h0))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (+ h1 h0))) (/ (cbrt h0) (sqrt (+ h1 h0))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ h1 h0)) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ h1 h0)) (/ (sqrt h0) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ (sqrt h0) (cbrt (+ h1 h0))) (/ (sqrt h0) (sqrt (+ h1 h0))) (/ (sqrt h0) (sqrt (+ h1 h0))) (/ (sqrt h0) 1) (/ (sqrt h0) (+ h1 h0)) (/ (sqrt h0) 1) (/ (sqrt h0) (+ h1 h0)) (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ h0 (cbrt (+ h1 h0))) (/ 1 (sqrt (+ h1 h0))) (/ h0 (sqrt (+ h1 h0))) (/ 1 1) (/ h0 (+ h1 h0)) (/ 1 1) (/ h0 (+ h1 h0)) (/ 1 (+ h1 h0)) (/ (+ h1 h0) h0) (/ h0 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ h0 (sqrt (+ h1 h0))) (/ h0 1) (/ h0 1) (/ (+ h1 h0) (cbrt h0)) (/ (+ h1 h0) (sqrt h0)) (/ (+ h1 h0) h0) (/ h0 (+ (pow h1 3) (pow h0 3))) (/ h0 (- (* h1 h1) (* h0 h0))) 0 0 0 0.089 * * [simplify]: iteration 0 : 121 enodes (cost 159 ) 0.093 * * [simplify]: iteration 1 : 391 enodes (cost 150 ) 0.101 * * [simplify]: iteration 2 : 1069 enodes (cost 150 ) 0.123 * * [simplify]: iteration 3 : 3853 enodes (cost 150 ) 0.179 * * [simplify]: iteration 4 : 5001 enodes (cost 150 ) 0.180 * [simplify]: Simplified to: (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (pow (/ x (+ y x)) 3) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (pow (/ x (+ y x)) 3) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (sqrt x) (/ (sqrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0.180 * * * [progress]: adding candidates to table 0.246 * * [progress]: iteration 2 / 4 0.246 * * * [progress]: picking best candidate 0.250 * * * * [pick]: Picked # 0.250 * * * [progress]: localizing error 0.260 * * * [progress]: generating rewritten candidates 0.260 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.290 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.305 * * * [progress]: generating series expansions 0.305 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.305 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.306 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.306 * [taylor]: Taking taylor expansion of x in y 0.306 * [taylor]: Taking taylor expansion of (+ x y) in y 0.306 * [taylor]: Taking taylor expansion of x in y 0.306 * [taylor]: Taking taylor expansion of y in y 0.306 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (+ x y) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of y in x 0.306 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (+ x y) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of y in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.306 * [taylor]: Taking taylor expansion of y in y 0.308 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.308 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.312 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.312 * [taylor]: Taking taylor expansion of y in y 0.320 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.320 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.320 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.320 * [taylor]: Taking taylor expansion of x in y 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.320 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.320 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.320 * [taylor]: Taking taylor expansion of x in y 0.321 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.321 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.321 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.321 * [taylor]: Taking taylor expansion of y in x 0.321 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.323 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.323 * [taylor]: Taking taylor expansion of y in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of 1 in y 0.327 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.330 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.341 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.342 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.342 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.342 * [taylor]: Taking taylor expansion of x in y 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.342 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.342 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.342 * [taylor]: Taking taylor expansion of x in y 0.342 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.342 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.342 * [taylor]: Taking taylor expansion of y in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.344 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of 1 in y 0.348 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.351 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.355 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.356 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (y x) around 0 0.356 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.356 * [taylor]: Taking taylor expansion of (+ x y) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of y in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.356 * [taylor]: Taking taylor expansion of (+ x y) in y 0.356 * [taylor]: Taking taylor expansion of x in y 0.356 * [taylor]: Taking taylor expansion of y in y 0.356 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.356 * [taylor]: Taking taylor expansion of (+ x y) in y 0.356 * [taylor]: Taking taylor expansion of x in y 0.356 * [taylor]: Taking taylor expansion of y in y 0.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.357 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.361 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.368 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 0.368 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 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 (/ 1 x) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.369 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.369 * [taylor]: Taking taylor expansion of y in y 0.369 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.369 * [taylor]: Taking taylor expansion of x in y 0.370 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.370 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.370 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.370 * [taylor]: Taking taylor expansion of x in y 0.371 * [taylor]: Taking taylor expansion of 1 in x 0.372 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.372 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.379 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 0.379 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.379 * [taylor]: Taking taylor expansion of -1 in x 0.379 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.379 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.379 * [taylor]: Taking taylor expansion of y in x 0.379 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.380 * [taylor]: Taking taylor expansion of -1 in y 0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.380 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.380 * [taylor]: Taking taylor expansion of x in y 0.381 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.381 * [taylor]: Taking taylor expansion of -1 in y 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.381 * [taylor]: Taking taylor expansion of x in y 0.382 * [taylor]: Taking taylor expansion of -1 in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.385 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.389 * * * [progress]: simplifying candidates 0.391 * [simplify]: Simplifying using # : (expm1 (* x (/ 1 (+ y x)))) (log1p (* x (/ 1 (+ y x)))) (* x (/ 1 (+ y x))) (+ (log x) (- (log (+ y x)))) (+ (log x) (- 0 (log (+ y x)))) (+ (log x) (- (log 1) (log (+ y x)))) (+ (log x) (log (/ 1 (+ y x)))) (log (* x (/ 1 (+ y x)))) (exp (* x (/ 1 (+ y x)))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (+ y x) (+ y x)) (+ y x)))) (* (* (* x x) x) (* (* (/ 1 (+ y x)) (/ 1 (+ y x))) (/ 1 (+ y x)))) (* (cbrt (* x (/ 1 (+ y x)))) (cbrt (* x (/ 1 (+ y x))))) (cbrt (* x (/ 1 (+ y x)))) (* (* (* x (/ 1 (+ y x))) (* x (/ 1 (+ y x)))) (* x (/ 1 (+ y x)))) (sqrt (* x (/ 1 (+ y x)))) (sqrt (* x (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ y x)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ y x)))) (* (sqrt x) (/ 1 (sqrt (+ y x)))) (* (sqrt x) (/ 1 (sqrt (+ y x)))) (* x (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x))))) (* x (sqrt (/ 1 (+ y x)))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y x)))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (sqrt 1) (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ (sqrt 1) (sqrt (+ y x)))) (* x (/ (sqrt 1) 1)) (* x (/ (sqrt 1) 1)) (* x (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ 1 (sqrt (+ y x)))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x 1) (* x (/ 1 (+ (pow y 3) (pow x 3)))) (* x (/ 1 (- (* y y) (* x x)))) (* (cbrt x) (/ 1 (+ y x))) (* (sqrt x) (/ 1 (+ y x))) (* x (/ 1 (+ y x))) (* x 1) (expm1 (/ 1 (+ y x))) (log1p (/ 1 (+ y x))) (- 1) (- (log (+ y x))) (- 0 (log (+ y x))) (- (log 1) (log (+ y x))) (log (/ 1 (+ y x))) (exp (/ 1 (+ y x))) (/ (* (* 1 1) 1) (* (* (+ y x) (+ y x)) (+ 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))) (- 1) (- (+ y x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt 1) (cbrt (+ y x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y x))) (/ (cbrt 1) (sqrt (+ y x))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y x)) (/ (sqrt 1) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt 1) (cbrt (+ y x))) (/ (sqrt 1) (sqrt (+ y x))) (/ (sqrt 1) (sqrt (+ y x))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y x)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 1) (/ 1 (+ y x)) (/ 1 1) (/ 1 (+ y x)) (/ 1 (+ y x)) (/ (+ y x) 1) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (sqrt (+ y x))) (/ 1 1) (/ 1 1) (/ (+ y x) (cbrt 1)) (/ (+ y x) (sqrt 1)) (/ (+ y x) 1) (/ 1 (+ (pow y 3) (pow x 3))) (/ 1 (- (* y y) (* x x))) 0 0 0 0 0 0 0.391 * [simplify]: Sending expressions to egg_math: (expm1 (* h0 (/ 1 (+ h1 h0)))) (log1p (* h0 (/ 1 (+ h1 h0)))) (* h0 (/ 1 (+ h1 h0))) (+ (log h0) (- (log (+ h1 h0)))) (+ (log h0) (- 0 (log (+ h1 h0)))) (+ (log h0) (- (log 1) (log (+ h1 h0)))) (+ (log h0) (log (/ 1 (+ h1 h0)))) (log (* h0 (/ 1 (+ h1 h0)))) (exp (* h0 (/ 1 (+ h1 h0)))) (* (* (* h0 h0) h0) (/ (* (* 1 1) 1) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0)))) (* (* (* h0 h0) h0) (* (* (/ 1 (+ h1 h0)) (/ 1 (+ h1 h0))) (/ 1 (+ h1 h0)))) (* (cbrt (* h0 (/ 1 (+ h1 h0)))) (cbrt (* h0 (/ 1 (+ h1 h0))))) (cbrt (* h0 (/ 1 (+ h1 h0)))) (* (* (* h0 (/ 1 (+ h1 h0))) (* h0 (/ 1 (+ h1 h0)))) (* h0 (/ 1 (+ h1 h0)))) (sqrt (* h0 (/ 1 (+ h1 h0)))) (sqrt (* h0 (/ 1 (+ h1 h0)))) (* (sqrt h0) (sqrt (/ 1 (+ h1 h0)))) (* (sqrt h0) (sqrt (/ 1 (+ h1 h0)))) (* (sqrt h0) (/ (sqrt 1) (sqrt (+ h1 h0)))) (* (sqrt h0) (/ (sqrt 1) (sqrt (+ h1 h0)))) (* (sqrt h0) (/ 1 (sqrt (+ h1 h0)))) (* (sqrt h0) (/ 1 (sqrt (+ h1 h0)))) (* h0 (* (cbrt (/ 1 (+ h1 h0))) (cbrt (/ 1 (+ h1 h0))))) (* h0 (sqrt (/ 1 (+ h1 h0)))) (* h0 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (* h0 (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ h1 h0)))) (* h0 (/ (* (cbrt 1) (cbrt 1)) 1)) (* h0 (/ (* (cbrt 1) (cbrt 1)) 1)) (* h0 (/ (sqrt 1) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (* h0 (/ (sqrt 1) (sqrt (+ h1 h0)))) (* h0 (/ (sqrt 1) 1)) (* h0 (/ (sqrt 1) 1)) (* h0 (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (* h0 (/ 1 (sqrt (+ h1 h0)))) (* h0 (/ 1 1)) (* h0 (/ 1 1)) (* h0 1) (* h0 1) (* h0 (/ 1 (+ (pow h1 3) (pow h0 3)))) (* h0 (/ 1 (- (* h1 h1) (* h0 h0)))) (* (cbrt h0) (/ 1 (+ h1 h0))) (* (sqrt h0) (/ 1 (+ h1 h0))) (* h0 (/ 1 (+ h1 h0))) (* h0 1) (expm1 (/ 1 (+ h1 h0))) (log1p (/ 1 (+ h1 h0))) (- 1) (- (log (+ h1 h0))) (- 0 (log (+ h1 h0))) (- (log 1) (log (+ h1 h0))) (log (/ 1 (+ h1 h0))) (exp (/ 1 (+ h1 h0))) (/ (* (* 1 1) 1) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (* (cbrt (/ 1 (+ h1 h0))) (cbrt (/ 1 (+ h1 h0)))) (cbrt (/ 1 (+ h1 h0))) (* (* (/ 1 (+ h1 h0)) (/ 1 (+ h1 h0))) (/ 1 (+ h1 h0))) (sqrt (/ 1 (+ h1 h0))) (sqrt (/ 1 (+ h1 h0))) (- 1) (- (+ h1 h0)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ (cbrt 1) (cbrt (+ h1 h0))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ h1 h0))) (/ (cbrt 1) (sqrt (+ h1 h0))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ h1 h0)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ h1 h0)) (/ (sqrt 1) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ (sqrt 1) (cbrt (+ h1 h0))) (/ (sqrt 1) (sqrt (+ h1 h0))) (/ (sqrt 1) (sqrt (+ h1 h0))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ h1 h0)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ h1 h0)) (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ 1 (cbrt (+ h1 h0))) (/ 1 (sqrt (+ h1 h0))) (/ 1 (sqrt (+ h1 h0))) (/ 1 1) (/ 1 (+ h1 h0)) (/ 1 1) (/ 1 (+ h1 h0)) (/ 1 (+ h1 h0)) (/ (+ h1 h0) 1) (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ 1 (sqrt (+ h1 h0))) (/ 1 1) (/ 1 1) (/ (+ h1 h0) (cbrt 1)) (/ (+ h1 h0) (sqrt 1)) (/ (+ h1 h0) 1) (/ 1 (+ (pow h1 3) (pow h0 3))) (/ 1 (- (* h1 h1) (* h0 h0))) 0 0 0 0 0 0 0.396 * * [simplify]: iteration 0 : 231 enodes (cost 360 ) 0.403 * * [simplify]: iteration 1 : 1013 enodes (cost 310 ) 0.424 * * [simplify]: iteration 2 : 3518 enodes (cost 272 ) 0.459 * * [simplify]: iteration 3 : 5002 enodes (cost 272 ) 0.461 * [simplify]: Simplified to: (expm1 (* x (/ 1 (+ y x)))) (log1p (* x (/ 1 (+ y x)))) (/ x (+ y x)) (- (log x) (log (+ y x))) (- (log x) (log (+ y x))) (- (log x) (log (+ y x))) (- (log x) (log (+ y x))) (- (log x) (log (+ y x))) (exp (* x (/ 1 (+ y x)))) (pow (/ x (+ y x)) 3) (pow (/ x (+ y x)) 3) (* (cbrt (* x (/ 1 (+ y x)))) (cbrt (* x (/ 1 (+ y x))))) (cbrt (* x (/ 1 (+ y x)))) (pow (/ x (+ y x)) 3) (sqrt (* x (/ 1 (+ y x)))) (sqrt (* x (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (* x (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x))))) (* x (sqrt (/ 1 (+ y x)))) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x x x (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) (/ (cbrt x) (+ y x)) (/ (sqrt x) (+ y x)) (/ x (+ y x)) x (expm1 (/ 1 (+ y x))) (log1p (/ 1 (+ y x))) (- 1) (log (/ 1 (+ y x))) (log (/ 1 (+ y x))) (log (/ 1 (+ y x))) (log (/ 1 (+ y x))) (exp (/ 1 (+ y x))) (/ 1 (pow (+ y x) 3)) (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x)))) (cbrt (/ 1 (+ y x))) (/ 1 (pow (+ y x) 3)) (sqrt (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) (- 1) (- (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ y x)) 1 (/ 1 (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ y x)) 1 (/ 1 (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ y x)) 1 (/ 1 (+ y x)) (/ 1 (+ y x)) (+ y x) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (sqrt (+ y x))) 1 1 (+ y x) (+ y x) (+ y x) (/ 1 (+ (pow y 3) (pow x 3))) (/ 1 (- (* y y) (* x x))) 0 0 0 0 0 0 0.461 * * * [progress]: adding candidates to table 0.588 * * [progress]: iteration 3 / 4 0.588 * * * [progress]: picking best candidate 0.590 * * * * [pick]: Picked # 0.591 * * * [progress]: localizing error 0.594 * * * [progress]: generating rewritten candidates 0.594 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.612 * * * [progress]: generating series expansions 0.612 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.612 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.612 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.612 * [taylor]: Taking taylor expansion of x in y 0.612 * [taylor]: Taking taylor expansion of (+ x y) in y 0.612 * [taylor]: Taking taylor expansion of x in y 0.612 * [taylor]: Taking taylor expansion of y in y 0.612 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.612 * [taylor]: Taking taylor expansion of x in x 0.612 * [taylor]: Taking taylor expansion of (+ x y) in x 0.612 * [taylor]: Taking taylor expansion of x in x 0.612 * [taylor]: Taking taylor expansion of y in x 0.612 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.612 * [taylor]: Taking taylor expansion of x in x 0.612 * [taylor]: Taking taylor expansion of (+ x y) in x 0.612 * [taylor]: Taking taylor expansion of x in x 0.612 * [taylor]: Taking taylor expansion of y in x 0.612 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.612 * [taylor]: Taking taylor expansion of y in y 0.614 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.614 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.614 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.614 * [taylor]: Taking taylor expansion of y in y 0.617 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.618 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.618 * [taylor]: Taking taylor expansion of y in y 0.625 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.625 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.625 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.625 * [taylor]: Taking taylor expansion of x in y 0.625 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.625 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.625 * [taylor]: Taking taylor expansion of y in y 0.625 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.625 * [taylor]: Taking taylor expansion of x in y 0.626 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.626 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.626 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.626 * [taylor]: Taking taylor expansion of y in x 0.626 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.628 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.628 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.628 * [taylor]: Taking taylor expansion of y in x 0.628 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.629 * [taylor]: Taking taylor expansion of 1 in y 0.631 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.631 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.631 * [taylor]: Taking taylor expansion of y in y 0.634 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.634 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.634 * [taylor]: Taking taylor expansion of y in y 0.638 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.639 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.639 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.639 * [taylor]: Taking taylor expansion of x in y 0.639 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.639 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.639 * [taylor]: Taking taylor expansion of y in y 0.639 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.639 * [taylor]: Taking taylor expansion of x in y 0.639 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.639 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.639 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.639 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.639 * [taylor]: Taking taylor expansion of y in x 0.639 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.641 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.641 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.641 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.641 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.641 * [taylor]: Taking taylor expansion of y in x 0.641 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of 1 in y 0.644 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.645 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.645 * [taylor]: Taking taylor expansion of y in y 0.648 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.648 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.652 * * * [progress]: simplifying candidates 0.653 * [simplify]: Simplifying using # : (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (- (log x) (log (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (/ (* (* x x) x) (* (* (+ y x) (+ y x)) (+ y 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)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (/ 1 1) (/ x (+ y x)) (/ 1 1) (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) (/ x 1) (/ x 1) (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0.653 * [simplify]: Sending expressions to egg_math: (expm1 (/ h0 (+ h1 h0))) (log1p (/ h0 (+ h1 h0))) (- (log h0) (log (+ h1 h0))) (log (/ h0 (+ h1 h0))) (exp (/ h0 (+ h1 h0))) (/ (* (* h0 h0) h0) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (* (cbrt (/ h0 (+ h1 h0))) (cbrt (/ h0 (+ h1 h0)))) (cbrt (/ h0 (+ h1 h0))) (* (* (/ h0 (+ h1 h0)) (/ h0 (+ h1 h0))) (/ h0 (+ h1 h0))) (sqrt (/ h0 (+ h1 h0))) (sqrt (/ h0 (+ h1 h0))) (- h0) (- (+ h1 h0)) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ (cbrt h0) (cbrt (+ h1 h0))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (+ h1 h0))) (/ (cbrt h0) (sqrt (+ h1 h0))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ h1 h0)) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ h1 h0)) (/ (sqrt h0) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ (sqrt h0) (cbrt (+ h1 h0))) (/ (sqrt h0) (sqrt (+ h1 h0))) (/ (sqrt h0) (sqrt (+ h1 h0))) (/ (sqrt h0) 1) (/ (sqrt h0) (+ h1 h0)) (/ (sqrt h0) 1) (/ (sqrt h0) (+ h1 h0)) (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ h0 (cbrt (+ h1 h0))) (/ 1 (sqrt (+ h1 h0))) (/ h0 (sqrt (+ h1 h0))) (/ 1 1) (/ h0 (+ h1 h0)) (/ 1 1) (/ h0 (+ h1 h0)) (/ 1 (+ h1 h0)) (/ (+ h1 h0) h0) (/ h0 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ h0 (sqrt (+ h1 h0))) (/ h0 1) (/ h0 1) (/ (+ h1 h0) (cbrt h0)) (/ (+ h1 h0) (sqrt h0)) (/ (+ h1 h0) h0) (/ h0 (+ (pow h1 3) (pow h0 3))) (/ h0 (- (* h1 h1) (* h0 h0))) 0 0 0 0.657 * * [simplify]: iteration 0 : 121 enodes (cost 159 ) 0.660 * * [simplify]: iteration 1 : 391 enodes (cost 150 ) 0.668 * * [simplify]: iteration 2 : 1069 enodes (cost 150 ) 0.691 * * [simplify]: iteration 3 : 3853 enodes (cost 150 ) 0.748 * * [simplify]: iteration 4 : 5001 enodes (cost 150 ) 0.749 * [simplify]: Simplified to: (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (pow (/ x (+ y x)) 3) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (pow (/ x (+ y x)) 3) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (sqrt x) (/ (sqrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0.749 * * * [progress]: adding candidates to table 0.815 * * [progress]: iteration 4 / 4 0.815 * * * [progress]: picking best candidate 0.816 * * * * [pick]: Picked # 0.816 * * * [progress]: localizing error 0.821 * * * [progress]: generating rewritten candidates 0.822 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.843 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.868 * * * [progress]: generating series expansions 0.868 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.868 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (y x) around 0 0.868 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.868 * [taylor]: Taking taylor expansion of x in x 0.869 * [taylor]: Taking taylor expansion of (+ x y) in x 0.869 * [taylor]: Taking taylor expansion of x in x 0.869 * [taylor]: Taking taylor expansion of y in x 0.869 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.869 * [taylor]: Taking taylor expansion of x in y 0.869 * [taylor]: Taking taylor expansion of (+ x y) in y 0.869 * [taylor]: Taking taylor expansion of x in y 0.869 * [taylor]: Taking taylor expansion of y in y 0.869 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.869 * [taylor]: Taking taylor expansion of x in y 0.869 * [taylor]: Taking taylor expansion of (+ x y) in y 0.869 * [taylor]: Taking taylor expansion of x in y 0.869 * [taylor]: Taking taylor expansion of y in y 0.869 * [taylor]: Taking taylor expansion of 1 in x 0.870 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.870 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.872 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.872 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.872 * [taylor]: Taking taylor expansion of x in x 0.876 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (y x) around 0 0.876 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.876 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.876 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.876 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.876 * [taylor]: Taking taylor expansion of y in x 0.876 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.878 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.878 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.878 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.878 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.878 * [taylor]: Taking taylor expansion of y in y 0.878 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.878 * [taylor]: Taking taylor expansion of x in y 0.879 * [taylor]: Taking taylor expansion of x in y 0.879 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.879 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.879 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.879 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.879 * [taylor]: Taking taylor expansion of y in y 0.879 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.879 * [taylor]: Taking taylor expansion of x in y 0.879 * [taylor]: Taking taylor expansion of x in y 0.880 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.880 * [taylor]: Taking taylor expansion of x in x 0.881 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.881 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.881 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.886 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.886 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.893 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (y x) around 0 0.893 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.893 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.893 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.893 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.893 * [taylor]: Taking taylor expansion of y in x 0.893 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.893 * [taylor]: Taking taylor expansion of x in x 0.893 * [taylor]: Taking taylor expansion of x in x 0.895 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.895 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.895 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.895 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.895 * [taylor]: Taking taylor expansion of y in y 0.895 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.895 * [taylor]: Taking taylor expansion of x in y 0.895 * [taylor]: Taking taylor expansion of x in y 0.895 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.895 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.895 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.896 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.896 * [taylor]: Taking taylor expansion of y in y 0.896 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.896 * [taylor]: Taking taylor expansion of x in y 0.896 * [taylor]: Taking taylor expansion of x in y 0.896 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.896 * [taylor]: Taking taylor expansion of x in x 0.898 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.898 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.898 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.902 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.902 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.902 * [taylor]: Taking taylor expansion of x in x 0.909 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.909 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (y x) around 0 0.909 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.910 * [taylor]: Taking taylor expansion of (+ x y) in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of y in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.910 * [taylor]: Taking taylor expansion of (+ x y) in y 0.910 * [taylor]: Taking taylor expansion of x in y 0.910 * [taylor]: Taking taylor expansion of y in y 0.910 * [taylor]: Taking taylor expansion of x in y 0.910 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.910 * [taylor]: Taking taylor expansion of (+ x y) in y 0.910 * [taylor]: Taking taylor expansion of x in y 0.910 * [taylor]: Taking taylor expansion of y in y 0.910 * [taylor]: Taking taylor expansion of x in y 0.910 * [taylor]: Taking taylor expansion of 1 in x 0.910 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.911 * [taylor]: Taking taylor expansion of 0 in x 0.912 * [taylor]: Taking taylor expansion of 0 in x 0.913 * [taylor]: Taking taylor expansion of 0 in x 0.913 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (y x) around 0 0.913 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.913 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.913 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.913 * [taylor]: Taking taylor expansion of y in x 0.913 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.914 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.914 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.914 * [taylor]: Taking taylor expansion of y in y 0.914 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.914 * [taylor]: Taking taylor expansion of x in y 0.914 * [taylor]: Taking taylor expansion of x in y 0.914 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.914 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.914 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.914 * [taylor]: Taking taylor expansion of y in y 0.914 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.914 * [taylor]: Taking taylor expansion of x in y 0.914 * [taylor]: Taking taylor expansion of x in y 0.915 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of 1 in x 0.917 * [taylor]: Taking taylor expansion of 0 in x 0.925 * [taylor]: Taking taylor expansion of 0 in x 0.927 * [taylor]: Taking taylor expansion of 0 in x 0.927 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (y x) around 0 0.927 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.927 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.927 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.927 * [taylor]: Taking taylor expansion of y in x 0.927 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.927 * [taylor]: Taking taylor expansion of x in x 0.928 * [taylor]: Taking taylor expansion of x in x 0.928 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.928 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.928 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.928 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.928 * [taylor]: Taking taylor expansion of x in y 0.928 * [taylor]: Taking taylor expansion of x in y 0.928 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.928 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.928 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.928 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.928 * [taylor]: Taking taylor expansion of x in y 0.929 * [taylor]: Taking taylor expansion of x in y 0.929 * [taylor]: Taking taylor expansion of x in x 0.930 * [taylor]: Taking taylor expansion of 1 in x 0.931 * [taylor]: Taking taylor expansion of 0 in x 0.933 * [taylor]: Taking taylor expansion of 0 in x 0.935 * [taylor]: Taking taylor expansion of 0 in x 0.935 * * * [progress]: simplifying candidates 0.937 * [simplify]: Simplifying using # : (expm1 (/ 1 (/ (+ y x) x))) (log1p (/ 1 (/ (+ y x) x))) (- 1) (- (- (log (+ y x)) (log x))) (- (log (/ (+ y x) x))) (- 0 (- (log (+ y x)) (log x))) (- 0 (log (/ (+ y x) x))) (- (log 1) (- (log (+ y x)) (log x))) (- (log 1) (log (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (exp (/ 1 (/ (+ y x) x))) (/ (* (* 1 1) 1) (/ (* (* (+ y x) (+ y x)) (+ y x)) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (+ y x) x) (/ (+ y x) x)) (/ (+ y x) x))) (* (cbrt (/ 1 (/ (+ y x) x))) (cbrt (/ 1 (/ (+ y x) x)))) (cbrt (/ 1 (/ (+ y x) x))) (* (* (/ 1 (/ (+ y x) x)) (/ 1 (/ (+ y x) x))) (/ 1 (/ (+ y x) x))) (sqrt (/ 1 (/ (+ y x) x))) (sqrt (/ 1 (/ (+ y x) x))) (- 1) (- (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ (cbrt 1) (cbrt (/ (+ y x) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ y x) x))) (/ (cbrt 1) (sqrt (/ (+ y x) x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (cbrt (+ y x)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ (cbrt 1) (/ (cbrt (+ y x)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ (cbrt 1) (/ (cbrt (+ y x)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (sqrt (+ y x)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y x)) (sqrt x))) (/ (cbrt 1) (/ (sqrt (+ y x)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y x)) 1)) (/ (cbrt 1) (/ (sqrt (+ y x)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ y x) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ y x) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ y x) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ y x) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) (+ y x)) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ (sqrt 1) (cbrt (/ (+ y x) x))) (/ (sqrt 1) (sqrt (/ (+ y x) x))) (/ (sqrt 1) (sqrt (/ (+ y x) x))) (/ (sqrt 1) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (cbrt (+ y x)) (cbrt x))) (/ (sqrt 1) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ (sqrt 1) (/ (cbrt (+ y x)) (sqrt x))) (/ (sqrt 1) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ (sqrt 1) (/ (cbrt (+ y x)) x)) (/ (sqrt 1) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (sqrt (+ y x)) (cbrt x))) (/ (sqrt 1) (/ (sqrt (+ y x)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ y x)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ y x)) 1)) (/ (sqrt 1) (/ (sqrt (+ y x)) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ y x) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ y x) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ y x) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ y x) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ y x) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ y x) x)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ y x) x)) (/ (sqrt 1) (+ y x)) (/ (sqrt 1) (/ 1 x)) (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (cbrt (+ y x)) (cbrt x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ 1 (/ (cbrt (+ y x)) (sqrt x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ 1 (/ (cbrt (+ y x)) x)) (/ 1 (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ y x)) (cbrt x))) (/ 1 (/ (sqrt (+ y x)) (sqrt x))) (/ 1 (/ (sqrt (+ y x)) (sqrt x))) (/ 1 (/ (sqrt (+ y x)) 1)) (/ 1 (/ (sqrt (+ y x)) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ y x) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ y x) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ y x) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ y x) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ y x) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ y x) x)) (/ 1 1) (/ 1 (/ (+ y x) x)) (/ 1 (+ y x)) (/ 1 (/ 1 x)) (/ 1 (/ (+ y x) x)) (/ (/ (+ y x) x) 1) (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ 1 (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ y x)) (sqrt x))) (/ 1 (/ (sqrt (+ y x)) 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (+ y x)) (/ (/ (+ y x) x) (cbrt 1)) (/ (/ (+ y x) x) (sqrt 1)) (/ (/ (+ y x) x) 1) (/ 1 (+ y x)) (expm1 (/ (+ y x) x)) (log1p (/ (+ y x) x)) (- (log (+ y x)) (log x)) (log (/ (+ y x) x)) (exp (/ (+ y x) x)) (/ (* (* (+ y x) (+ y x)) (+ y x)) (* (* x x) x)) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x)) (* (* (/ (+ y x) x) (/ (+ y x) x)) (/ (+ y x) x)) (sqrt (/ (+ y x) x)) (sqrt (/ (+ y x) x)) (- (+ y x)) (- x) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ y x)) (cbrt x)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x)) (/ (cbrt (+ y x)) (sqrt x)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1) (/ (cbrt (+ y x)) x) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ y x)) (cbrt x)) (/ (sqrt (+ y x)) (sqrt x)) (/ (sqrt (+ y x)) (sqrt x)) (/ (sqrt (+ y x)) 1) (/ (sqrt (+ y x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) (/ 1 1) (/ (+ y x) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) (/ 1 1) (/ (+ y x) x) (/ 1 x) (/ x (+ y x)) (/ (+ y x) (* (cbrt x) (cbrt x))) (/ (+ y x) (sqrt x)) (/ (+ y x) 1) (/ x (cbrt (+ y x))) (/ x (sqrt (+ y x))) (/ x (+ y x)) (/ x (+ y x)) (* x (+ (* y y) (- (* x x) (* y x)))) (* x (- y x)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.938 * [simplify]: Sending expressions to egg_math: (expm1 (/ 1 (/ (+ h0 h1) h1))) (log1p (/ 1 (/ (+ h0 h1) h1))) (- 1) (- (- (log (+ h0 h1)) (log h1))) (- (log (/ (+ h0 h1) h1))) (- 0 (- (log (+ h0 h1)) (log h1))) (- 0 (log (/ (+ h0 h1) h1))) (- (log 1) (- (log (+ h0 h1)) (log h1))) (- (log 1) (log (/ (+ h0 h1) h1))) (log (/ 1 (/ (+ h0 h1) h1))) (exp (/ 1 (/ (+ h0 h1) h1))) (/ (* (* 1 1) 1) (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* h1 h1) h1))) (/ (* (* 1 1) 1) (* (* (/ (+ h0 h1) h1) (/ (+ h0 h1) h1)) (/ (+ h0 h1) h1))) (* (cbrt (/ 1 (/ (+ h0 h1) h1))) (cbrt (/ 1 (/ (+ h0 h1) h1)))) (cbrt (/ 1 (/ (+ h0 h1) h1))) (* (* (/ 1 (/ (+ h0 h1) h1)) (/ 1 (/ (+ h0 h1) h1))) (/ 1 (/ (+ h0 h1) h1))) (sqrt (/ 1 (/ (+ h0 h1) h1))) (sqrt (/ 1 (/ (+ h0 h1) h1))) (- 1) (- (/ (+ h0 h1) h1)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ h0 h1) h1)) (cbrt (/ (+ h0 h1) h1)))) (/ (cbrt 1) (cbrt (/ (+ h0 h1) h1))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ h0 h1) h1))) (/ (cbrt 1) (sqrt (/ (+ h0 h1) h1))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h1) (cbrt h1)))) (/ (cbrt 1) (/ (cbrt (+ h0 h1)) (cbrt h1))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h1))) (/ (cbrt 1) (/ (cbrt (+ h0 h1)) (sqrt h1))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1)) (/ (cbrt 1) (/ (cbrt (+ h0 h1)) h1)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ h0 h1)) (* (cbrt h1) (cbrt h1)))) (/ (cbrt 1) (/ (sqrt (+ h0 h1)) (cbrt h1))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ h0 h1)) (sqrt h1))) (/ (cbrt 1) (/ (sqrt (+ h0 h1)) (sqrt h1))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ h0 h1)) 1)) (/ (cbrt 1) (/ (sqrt (+ h0 h1)) h1)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt h1) (cbrt h1)))) (/ (cbrt 1) (/ (+ h0 h1) (cbrt h1))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt h1))) (/ (cbrt 1) (/ (+ h0 h1) (sqrt h1))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ h0 h1) h1)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt h1) (cbrt h1)))) (/ (cbrt 1) (/ (+ h0 h1) (cbrt h1))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt h1))) (/ (cbrt 1) (/ (+ h0 h1) (sqrt h1))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ h0 h1) h1)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ h0 h1) h1)) (/ (* (cbrt 1) (cbrt 1)) (+ h0 h1)) (/ (cbrt 1) (/ 1 h1)) (/ (sqrt 1) (* (cbrt (/ (+ h0 h1) h1)) (cbrt (/ (+ h0 h1) h1)))) (/ (sqrt 1) (cbrt (/ (+ h0 h1) h1))) (/ (sqrt 1) (sqrt (/ (+ h0 h1) h1))) (/ (sqrt 1) (sqrt (/ (+ h0 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(/ h1 (sqrt (+ h0 h1))) (/ h1 (+ h0 h1)) (/ h1 (+ h0 h1)) (* h1 (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* h1 (- h0 h1)) 0 0 0 (+ (/ h0 h1) 1) (+ (/ h0 h1) 1) (+ (/ h0 h1) 1) 0.945 * * [simplify]: iteration 0 : 354 enodes (cost 814 ) 0.954 * * [simplify]: iteration 1 : 1566 enodes (cost 715 ) 0.981 * * [simplify]: iteration 2 : 5001 enodes (cost 625 ) 0.984 * [simplify]: Simplified to: (expm1 (/ 1 (/ (+ y x) x))) (log1p (/ 1 (/ (+ y x) x))) (- 1) (log (/ 1 (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (exp (/ 1 (/ (+ y x) x))) (/ 1 (pow (/ (+ y x) x) 3)) (/ 1 (pow (/ (+ y x) x) 3)) (* (cbrt (/ 1 (/ (+ y x) x))) (cbrt (/ 1 (/ (+ y x) x)))) (cbrt (/ 1 (/ (+ y x) x))) (/ 1 (pow (/ (+ y x) x) 3)) (sqrt (/ 1 (/ (+ y x) x))) (sqrt (/ 1 (/ (+ y x) x))) (- 1) (- (/ (+ y x) x)) (/ (/ 1 (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ 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(/ x (+ y x)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ y x) (cbrt x))) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) x (/ x (+ y x)) (/ (+ y x) x) (/ (/ 1 (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (sqrt x) 1 (* (cbrt x) (cbrt x)) (sqrt x) 1 1 (/ 1 (+ y x)) (/ (+ y x) x) (/ (+ y x) x) (/ (+ y x) x) (/ 1 (+ y x)) (expm1 (/ (+ y x) x)) (log1p (/ (+ y x) x)) (log (/ (+ y x) x)) (log (/ (+ y x) x)) (exp (/ (+ y x) x)) (pow (/ (+ y x) x) 3) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x)) (pow (/ (+ y x) x) 3) (sqrt (/ (+ y x) x)) (sqrt (/ (+ y x) x)) (- (+ y x)) (- x) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ y x)) (cbrt x)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x)) (/ (cbrt (+ y x)) (sqrt x)) (* (cbrt (+ y x)) (cbrt (+ y x))) (/ (cbrt (+ y x)) x) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ y x)) (cbrt x)) (/ (sqrt (+ y x)) (sqrt x)) (/ (sqrt (+ y x)) (sqrt x)) (sqrt (+ y x)) (/ (sqrt (+ y x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) 1 (/ (+ y x) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) 1 (/ (+ y x) x) (/ 1 x) (/ x (+ y x)) (/ (+ y x) (* (cbrt x) (cbrt x))) (/ (+ y x) (sqrt x)) (+ y x) (/ x (cbrt (+ y x))) (/ x (sqrt (+ y x))) (/ x (+ y x)) (/ x (+ y x)) (* x (fma x (- x y) (* y y))) (* x (- y x)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.985 * * * [progress]: adding candidates to table 1.151 * [progress]: [Phase 3 of 3] Extracting. 1.151 * * [regime]: Finding splitpoints for: (# # #) 1.152 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ y x)) y x) 1.152 * * * * [regimes]: Trying to branch on (/ x (+ y x)) from (# # #) 1.163 * * * * [regimes]: Trying to branch on y from (# # #) 1.175 * * * * [regimes]: Trying to branch on x from (# # #) 1.191 * * * [regime]: Found split indices: #