5.696 * [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. 0.013 * [simplify]: Simplifying using # : (/ x (+ x y)) 0.013 * [simplify]: Sending expressions to egg_math: (/ h0 (+ h0 h1)) 0.017 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.020 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.020 * [simplify]: Simplified to: (/ x (+ x y)) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.030 * * * [progress]: generating rewritten candidates 0.030 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.047 * * * [progress]: generating series expansions 0.047 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.048 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.048 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.048 * [taylor]: Taking taylor expansion of x in y 0.048 * [taylor]: Taking taylor expansion of (+ x y) in y 0.048 * [taylor]: Taking taylor expansion of x in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (+ x y) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (+ x y) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.053 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.060 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.060 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.060 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.061 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.062 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of 1 in y 0.066 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.070 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.074 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.074 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.074 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.074 * [taylor]: Taking taylor expansion of x in y 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.074 * [taylor]: Taking taylor expansion of x in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.075 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.076 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of 1 in y 0.085 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.093 * * * [progress]: simplifying candidates 0.093 * [simplify]: Simplifying using # : (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)) 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) 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 1) (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) (/ x 1) (/ 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))) 0 0 0 0.094 * [simplify]: Sending expressions to egg_math: (expm1 (/ h0 (+ h0 h1))) (log1p (/ h0 (+ h0 h1))) (- (log h0) (log (+ h0 h1))) (log (/ h0 (+ h0 h1))) (exp (/ h0 (+ h0 h1))) (/ (* (* h0 h0) h0) (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1))) (* (cbrt (/ h0 (+ h0 h1))) (cbrt (/ h0 (+ h0 h1)))) (cbrt (/ h0 (+ h0 h1))) (* (* (/ h0 (+ h0 h1)) (/ h0 (+ h0 h1))) (/ h0 (+ h0 h1))) (sqrt (/ h0 (+ h0 h1))) (sqrt (/ h0 (+ h0 h1))) (- h0) (- (+ h0 h1)) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (cbrt h0) (cbrt (+ h0 h1))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (+ h0 h1))) (/ (cbrt h0) (sqrt (+ h0 h1))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ h0 h1)) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ h0 h1)) (/ (sqrt h0) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (sqrt h0) (cbrt (+ h0 h1))) (/ (sqrt h0) (sqrt (+ h0 h1))) (/ (sqrt h0) (sqrt (+ h0 h1))) (/ (sqrt h0) 1) (/ (sqrt h0) (+ h0 h1)) (/ (sqrt h0) 1) (/ (sqrt h0) (+ h0 h1)) (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ h0 (cbrt (+ h0 h1))) (/ 1 (sqrt (+ h0 h1))) (/ h0 (sqrt (+ h0 h1))) (/ 1 1) (/ h0 (+ h0 h1)) (/ 1 1) (/ h0 (+ h0 h1)) (/ 1 (+ h0 h1)) (/ (+ h0 h1) h0) (/ h0 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ h0 (sqrt (+ h0 h1))) (/ h0 1) (/ h0 1) (/ (+ h0 h1) (cbrt h0)) (/ (+ h0 h1) (sqrt h0)) (/ (+ h0 h1) h0) (/ h0 (+ (pow h0 3) (pow h1 3))) (/ h0 (- (* h0 h0) (* h1 h1))) 0 0 0 0.097 * * [simplify]: iteration 0 : 121 enodes (cost 159 ) 0.102 * * [simplify]: iteration 1 : 393 enodes (cost 150 ) 0.109 * * [simplify]: iteration 2 : 1065 enodes (cost 150 ) 0.131 * * [simplify]: iteration 3 : 3830 enodes (cost 150 ) 0.184 * * [simplify]: iteration 4 : 5002 enodes (cost 150 ) 0.186 * [simplify]: Simplified to: (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)) (/ (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) (+ 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 (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0.186 * * * [progress]: adding candidates to table 0.252 * * [progress]: iteration 2 / 4 0.253 * * * [progress]: picking best candidate 0.256 * * * * [pick]: Picked # 0.256 * * * [progress]: localizing error 0.262 * * * [progress]: generating rewritten candidates 0.262 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.290 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.308 * * * [progress]: generating series expansions 0.308 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.308 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.308 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.308 * [taylor]: Taking taylor expansion of x in y 0.308 * [taylor]: Taking taylor expansion of (+ x y) in y 0.308 * [taylor]: Taking taylor expansion of x in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.308 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of (+ x y) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of y in x 0.308 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of (+ x y) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of y in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.310 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.310 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.310 * [taylor]: Taking taylor expansion of y in y 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.314 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.314 * [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 0.321 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.321 * [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 0.326 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.326 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.330 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.334 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.334 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.334 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.334 * [taylor]: Taking taylor expansion of x in y 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.334 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.334 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.334 * [taylor]: Taking taylor expansion of x in y 0.334 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.334 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.334 * [taylor]: Taking taylor expansion of y in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.336 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.336 * [taylor]: Taking taylor expansion of y in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of 1 in y 0.339 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.339 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.343 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.347 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.347 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (x y) around 0 0.347 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.347 * [taylor]: Taking taylor expansion of (+ x y) in y 0.347 * [taylor]: Taking taylor expansion of x in y 0.347 * [taylor]: Taking taylor expansion of y in y 0.347 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.347 * [taylor]: Taking taylor expansion of (+ x y) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of y in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.347 * [taylor]: Taking taylor expansion of (+ x y) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of y in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.347 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.348 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.352 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.352 * [taylor]: Taking taylor expansion of y in y 0.358 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.358 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.358 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.359 * [taylor]: Taking taylor expansion of y in y 0.359 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.359 * [taylor]: Taking taylor expansion of x in y 0.359 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.359 * [taylor]: Taking taylor expansion of y in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.360 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.360 * [taylor]: Taking taylor expansion of y in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of 1 in y 0.362 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.362 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.362 * [taylor]: Taking taylor expansion of y in y 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.364 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.364 * [taylor]: Taking taylor expansion of y in y 0.368 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.368 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.368 * [taylor]: Taking taylor expansion of -1 in y 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.368 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.368 * [taylor]: Taking taylor expansion of x in y 0.369 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.369 * [taylor]: Taking taylor expansion of -1 in x 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.369 * [taylor]: Taking taylor expansion of y in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.370 * [taylor]: Taking taylor expansion of -1 in x 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.370 * [taylor]: Taking taylor expansion of y in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.371 * [taylor]: Taking taylor expansion of -1 in y 0.372 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.372 * [taylor]: Taking taylor expansion of y in y 0.374 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.374 * [taylor]: Taking taylor expansion of y in y 0.378 * * * [progress]: simplifying candidates 0.379 * [simplify]: Simplifying using # : (expm1 (* x (/ 1 (+ x y)))) (log1p (* x (/ 1 (+ x y)))) (* x (/ 1 (+ x y))) (+ (log x) (- (log (+ x y)))) (+ (log x) (- 0 (log (+ x y)))) (+ (log x) (- (log 1) (log (+ x y)))) (+ (log x) (log (/ 1 (+ x y)))) (log (* x (/ 1 (+ x y)))) (exp (* x (/ 1 (+ x y)))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (+ x y) (+ x y)) (+ x y)))) (* (* (* x x) x) (* (* (/ 1 (+ x y)) (/ 1 (+ x y))) (/ 1 (+ x y)))) (* (cbrt (* x (/ 1 (+ x y)))) (cbrt (* x (/ 1 (+ x y))))) (cbrt (* x (/ 1 (+ x y)))) (* (* (* x (/ 1 (+ x y))) (* x (/ 1 (+ x y)))) (* x (/ 1 (+ x y)))) (sqrt (* x (/ 1 (+ x y)))) (sqrt (* x (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ x y)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ x y)))) (* (sqrt x) (/ 1 (sqrt (+ x y)))) (* (sqrt x) (/ 1 (sqrt (+ x y)))) (* x (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y))))) (* x (sqrt (/ 1 (+ x y)))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ x y)))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (sqrt 1) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* x (/ (sqrt 1) (sqrt (+ x y)))) (* x (/ (sqrt 1) 1)) (* x (/ (sqrt 1) 1)) (* x (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y))))) (* x (/ 1 (sqrt (+ x y)))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x 1) (* x (/ 1 (+ (pow x 3) (pow y 3)))) (* x (/ 1 (- (* x x) (* y y)))) (* (cbrt x) (/ 1 (+ x y))) (* (sqrt x) (/ 1 (+ x y))) (* x (/ 1 (+ x y))) (* x 1) (expm1 (/ 1 (+ x y))) (log1p (/ 1 (+ x y))) (- 1) (- (log (+ x y))) (- 0 (log (+ x y))) (- (log 1) (log (+ x y))) (log (/ 1 (+ x y))) (exp (/ 1 (+ x y))) (/ (* (* 1 1) 1) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y)))) (cbrt (/ 1 (+ x y))) (* (* (/ 1 (+ x y)) (/ 1 (+ x y))) (/ 1 (+ x y))) (sqrt (/ 1 (+ x y))) (sqrt (/ 1 (+ x y))) (- 1) (- (+ x y)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt 1) (cbrt (+ x y))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ x y))) (/ (cbrt 1) (sqrt (+ x y))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ x y)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ x y)) (/ (sqrt 1) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt 1) (cbrt (+ x y))) (/ (sqrt 1) (sqrt (+ x y))) (/ (sqrt 1) (sqrt (+ x y))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ x y)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 1) (/ 1 (+ x y)) (/ 1 1) (/ 1 (+ x y)) (/ 1 (+ x y)) (/ (+ x y) 1) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (sqrt (+ x y))) (/ 1 1) (/ 1 1) (/ (+ x y) (cbrt 1)) (/ (+ x y) (sqrt 1)) (/ (+ x y) 1) (/ 1 (+ (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) 0 0 0 0 0 0 0.379 * [simplify]: Sending expressions to egg_math: (expm1 (* h0 (/ 1 (+ h0 h1)))) (log1p (* h0 (/ 1 (+ h0 h1)))) (* h0 (/ 1 (+ h0 h1))) (+ (log h0) (- (log (+ h0 h1)))) (+ (log h0) (- 0 (log (+ h0 h1)))) (+ (log h0) (- (log 1) (log (+ h0 h1)))) (+ (log h0) (log (/ 1 (+ h0 h1)))) (log (* h0 (/ 1 (+ h0 h1)))) (exp (* h0 (/ 1 (+ h0 h1)))) (* (* (* h0 h0) h0) (/ (* (* 1 1) 1) (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)))) (* (* (* h0 h0) h0) (* (* (/ 1 (+ h0 h1)) (/ 1 (+ h0 h1))) (/ 1 (+ h0 h1)))) (* (cbrt (* h0 (/ 1 (+ h0 h1)))) (cbrt (* h0 (/ 1 (+ h0 h1))))) (cbrt (* h0 (/ 1 (+ h0 h1)))) (* (* (* h0 (/ 1 (+ h0 h1))) (* h0 (/ 1 (+ h0 h1)))) (* h0 (/ 1 (+ h0 h1)))) (sqrt (* h0 (/ 1 (+ h0 h1)))) (sqrt (* h0 (/ 1 (+ h0 h1)))) (* (sqrt h0) (sqrt (/ 1 (+ h0 h1)))) (* (sqrt h0) (sqrt (/ 1 (+ h0 h1)))) (* (sqrt h0) (/ (sqrt 1) (sqrt (+ h0 h1)))) (* (sqrt h0) (/ (sqrt 1) (sqrt (+ h0 h1)))) (* (sqrt h0) (/ 1 (sqrt (+ h0 h1)))) (* (sqrt h0) (/ 1 (sqrt (+ h0 h1)))) (* h0 (* (cbrt (/ 1 (+ h0 h1))) (cbrt (/ 1 (+ h0 h1))))) (* h0 (sqrt (/ 1 (+ h0 h1)))) (* h0 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (* h0 (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ h0 h1)))) (* h0 (/ (* (cbrt 1) (cbrt 1)) 1)) (* h0 (/ (* (cbrt 1) (cbrt 1)) 1)) (* h0 (/ (sqrt 1) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (* h0 (/ (sqrt 1) (sqrt (+ h0 h1)))) (* h0 (/ (sqrt 1) 1)) (* h0 (/ (sqrt 1) 1)) (* h0 (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (* h0 (/ 1 (sqrt (+ h0 h1)))) (* h0 (/ 1 1)) (* h0 (/ 1 1)) (* h0 1) (* h0 1) (* h0 (/ 1 (+ (pow h0 3) (pow h1 3)))) (* h0 (/ 1 (- (* h0 h0) (* h1 h1)))) (* (cbrt h0) (/ 1 (+ h0 h1))) (* (sqrt h0) (/ 1 (+ h0 h1))) (* h0 (/ 1 (+ h0 h1))) (* h0 1) (expm1 (/ 1 (+ h0 h1))) (log1p (/ 1 (+ h0 h1))) (- 1) (- (log (+ h0 h1))) (- 0 (log (+ h0 h1))) (- (log 1) (log (+ h0 h1))) (log (/ 1 (+ h0 h1))) (exp (/ 1 (+ h0 h1))) (/ (* (* 1 1) 1) (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1))) (* (cbrt (/ 1 (+ h0 h1))) (cbrt (/ 1 (+ h0 h1)))) (cbrt (/ 1 (+ h0 h1))) (* (* (/ 1 (+ h0 h1)) (/ 1 (+ h0 h1))) (/ 1 (+ h0 h1))) (sqrt (/ 1 (+ h0 h1))) (sqrt (/ 1 (+ h0 h1))) (- 1) (- (+ h0 h1)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (cbrt 1) (cbrt (+ h0 h1))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ h0 h1))) (/ (cbrt 1) (sqrt (+ h0 h1))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ h0 h1)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ h0 h1)) (/ (sqrt 1) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (sqrt 1) (cbrt (+ h0 h1))) (/ (sqrt 1) (sqrt (+ h0 h1))) (/ (sqrt 1) (sqrt (+ h0 h1))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ h0 h1)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ h0 h1)) (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ 1 (cbrt (+ h0 h1))) (/ 1 (sqrt (+ h0 h1))) (/ 1 (sqrt (+ h0 h1))) (/ 1 1) (/ 1 (+ h0 h1)) (/ 1 1) (/ 1 (+ h0 h1)) (/ 1 (+ h0 h1)) (/ (+ h0 h1) 1) (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ 1 (sqrt (+ h0 h1))) (/ 1 1) (/ 1 1) (/ (+ h0 h1) (cbrt 1)) (/ (+ h0 h1) (sqrt 1)) (/ (+ h0 h1) 1) (/ 1 (+ (pow h0 3) (pow h1 3))) (/ 1 (- (* h0 h0) (* h1 h1))) 0 0 0 0 0 0 0.390 * * [simplify]: iteration 0 : 231 enodes (cost 360 ) 0.396 * * [simplify]: iteration 1 : 1017 enodes (cost 310 ) 0.415 * * [simplify]: iteration 2 : 3519 enodes (cost 272 ) 0.449 * * [simplify]: iteration 3 : 5001 enodes (cost 272 ) 0.451 * [simplify]: Simplified to: (expm1 (* x (/ 1 (+ x y)))) (log1p (* x (/ 1 (+ x y)))) (/ x (+ x y)) (- (log x) (log (+ x y))) (- (log x) (log (+ x y))) (- (log x) (log (+ x y))) (- (log x) (log (+ x y))) (- (log x) (log (+ x y))) (exp (* x (/ 1 (+ x y)))) (pow (/ x (+ x y)) 3) (pow (/ x (+ x y)) 3) (* (cbrt (* x (/ 1 (+ x y)))) (cbrt (* x (/ 1 (+ x y))))) (cbrt (* x (/ 1 (+ x y)))) (pow (/ x (+ x y)) 3) (sqrt (* x (/ 1 (+ x y)))) (sqrt (* x (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (* x (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y))))) (* x (sqrt (/ 1 (+ x y)))) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x x x (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) (/ (cbrt x) (+ x y)) (/ (sqrt x) (+ x y)) (/ x (+ x y)) x (expm1 (/ 1 (+ x y))) (log1p (/ 1 (+ x y))) (- 1) (log (/ 1 (+ x y))) (log (/ 1 (+ x y))) (log (/ 1 (+ x y))) (log (/ 1 (+ x y))) (exp (/ 1 (+ x y))) (/ 1 (pow (+ x y) 3)) (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y)))) (cbrt (/ 1 (+ x y))) (/ 1 (pow (+ x y) 3)) (sqrt (/ 1 (+ x y))) (sqrt (/ 1 (+ x y))) (- 1) (- (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) 1 (/ 1 (+ x y)) 1 (/ 1 (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) 1 (/ 1 (+ x y)) 1 (/ 1 (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) 1 (/ 1 (+ x y)) 1 (/ 1 (+ x y)) (/ 1 (+ x y)) (+ x y) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (sqrt (+ x y))) 1 1 (+ x y) (+ x y) (+ x y) (/ 1 (+ (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) 0 0 0 0 0 0 0.452 * * * [progress]: adding candidates to table 0.578 * * [progress]: iteration 3 / 4 0.578 * * * [progress]: picking best candidate 0.581 * * * * [pick]: Picked # 0.581 * * * [progress]: localizing error 0.584 * * * [progress]: generating rewritten candidates 0.584 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.596 * * * [progress]: generating series expansions 0.597 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.597 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.597 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.597 * [taylor]: Taking taylor expansion of x in y 0.597 * [taylor]: Taking taylor expansion of (+ x y) in y 0.597 * [taylor]: Taking taylor expansion of x in y 0.597 * [taylor]: Taking taylor expansion of y in y 0.597 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of (+ x y) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of y in x 0.597 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of (+ x y) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of y in x 0.597 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.597 * [taylor]: Taking taylor expansion of y in y 0.599 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.599 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.599 * [taylor]: Taking taylor expansion of y in y 0.602 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.602 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.602 * [taylor]: Taking taylor expansion of y in y 0.609 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.609 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.609 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.609 * [taylor]: Taking taylor expansion of x in y 0.609 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.609 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.609 * [taylor]: Taking taylor expansion of y in y 0.609 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.609 * [taylor]: Taking taylor expansion of x in y 0.610 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.610 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.610 * [taylor]: Taking taylor expansion of y in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.611 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.611 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.611 * [taylor]: Taking taylor expansion of y in x 0.612 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.612 * [taylor]: Taking taylor expansion of x in x 0.613 * [taylor]: Taking taylor expansion of 1 in y 0.615 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.615 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.615 * [taylor]: Taking taylor expansion of y in y 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.618 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.618 * [taylor]: Taking taylor expansion of y in y 0.622 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.622 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.622 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.622 * [taylor]: Taking taylor expansion of x in y 0.622 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.622 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.622 * [taylor]: Taking taylor expansion of y in y 0.623 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.623 * [taylor]: Taking taylor expansion of x in y 0.623 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.623 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.623 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.623 * [taylor]: Taking taylor expansion of y in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.625 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.625 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.625 * [taylor]: Taking taylor expansion of y in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of 1 in y 0.628 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.628 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.628 * [taylor]: Taking taylor expansion of y in y 0.631 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.631 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.631 * [taylor]: Taking taylor expansion of y in y 0.635 * * * [progress]: simplifying candidates 0.635 * [simplify]: Simplifying using # : (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)) 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) 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 1) (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) (/ x 1) (/ 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))) 0 0 0 0.636 * [simplify]: Sending expressions to egg_math: (expm1 (/ h0 (+ h0 h1))) (log1p (/ h0 (+ h0 h1))) (- (log h0) (log (+ h0 h1))) (log (/ h0 (+ h0 h1))) (exp (/ h0 (+ h0 h1))) (/ (* (* h0 h0) h0) (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1))) (* (cbrt (/ h0 (+ h0 h1))) (cbrt (/ h0 (+ h0 h1)))) (cbrt (/ h0 (+ h0 h1))) (* (* (/ h0 (+ h0 h1)) (/ h0 (+ h0 h1))) (/ h0 (+ h0 h1))) (sqrt (/ h0 (+ h0 h1))) (sqrt (/ h0 (+ h0 h1))) (- h0) (- (+ h0 h1)) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (cbrt h0) (cbrt (+ h0 h1))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (+ h0 h1))) (/ (cbrt h0) (sqrt (+ h0 h1))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ h0 h1)) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ h0 h1)) (/ (sqrt h0) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (sqrt h0) (cbrt (+ h0 h1))) (/ (sqrt h0) (sqrt (+ h0 h1))) (/ (sqrt h0) (sqrt (+ h0 h1))) (/ (sqrt h0) 1) (/ (sqrt h0) (+ h0 h1)) (/ (sqrt h0) 1) (/ (sqrt h0) (+ h0 h1)) (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ h0 (cbrt (+ h0 h1))) (/ 1 (sqrt (+ h0 h1))) (/ h0 (sqrt (+ h0 h1))) (/ 1 1) (/ h0 (+ h0 h1)) (/ 1 1) (/ h0 (+ h0 h1)) (/ 1 (+ h0 h1)) (/ (+ h0 h1) h0) (/ h0 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ h0 (sqrt (+ h0 h1))) (/ h0 1) (/ h0 1) (/ (+ h0 h1) (cbrt h0)) (/ (+ h0 h1) (sqrt h0)) (/ (+ h0 h1) h0) (/ h0 (+ (pow h0 3) (pow h1 3))) (/ h0 (- (* h0 h0) (* h1 h1))) 0 0 0 0.644 * * [simplify]: iteration 0 : 121 enodes (cost 159 ) 0.647 * * [simplify]: iteration 1 : 393 enodes (cost 150 ) 0.654 * * [simplify]: iteration 2 : 1065 enodes (cost 150 ) 0.675 * * [simplify]: iteration 3 : 3830 enodes (cost 150 ) 0.728 * * [simplify]: iteration 4 : 5002 enodes (cost 150 ) 0.729 * [simplify]: Simplified to: (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)) (/ (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) (+ 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 (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0.729 * * * [progress]: adding candidates to table 0.791 * * [progress]: iteration 4 / 4 0.791 * * * [progress]: picking best candidate 0.792 * * * * [pick]: Picked # 0.792 * * * [progress]: localizing error 0.797 * * * [progress]: generating rewritten candidates 0.797 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.814 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.836 * * * [progress]: generating series expansions 0.837 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.837 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.837 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.837 * [taylor]: Taking taylor expansion of x in y 0.837 * [taylor]: Taking taylor expansion of (+ x y) in y 0.837 * [taylor]: Taking taylor expansion of x in y 0.837 * [taylor]: Taking taylor expansion of y in y 0.837 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of (+ x y) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of y in x 0.837 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of (+ x y) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of y in x 0.837 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.837 * [taylor]: Taking taylor expansion of y in y 0.839 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.839 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.839 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.839 * [taylor]: Taking taylor expansion of y in y 0.843 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.843 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.843 * [taylor]: Taking taylor expansion of y in y 0.854 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.854 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.854 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.854 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.854 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.855 * [taylor]: Taking taylor expansion of y in y 0.855 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.855 * [taylor]: Taking taylor expansion of x in y 0.855 * [taylor]: Taking taylor expansion of x in y 0.855 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.855 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.855 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.855 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.855 * [taylor]: Taking taylor expansion of y in x 0.855 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.857 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.857 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.857 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.857 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.857 * [taylor]: Taking taylor expansion of y in x 0.857 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of 1 in y 0.860 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.860 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.860 * [taylor]: Taking taylor expansion of y in y 0.864 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.864 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.864 * [taylor]: Taking taylor expansion of y in y 0.868 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.868 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.868 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.868 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.868 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.868 * [taylor]: Taking taylor expansion of y in y 0.868 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.868 * [taylor]: Taking taylor expansion of x in y 0.868 * [taylor]: Taking taylor expansion of x in y 0.868 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.868 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.868 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.868 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.868 * [taylor]: Taking taylor expansion of y in x 0.869 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.869 * [taylor]: Taking taylor expansion of x in x 0.869 * [taylor]: Taking taylor expansion of x in x 0.870 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.870 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.870 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.870 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.870 * [taylor]: Taking taylor expansion of y in x 0.870 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.872 * [taylor]: Taking taylor expansion of 1 in y 0.873 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.873 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.873 * [taylor]: Taking taylor expansion of y in y 0.877 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.877 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.880 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.881 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (x y) around 0 0.881 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.881 * [taylor]: Taking taylor expansion of (+ x y) in y 0.881 * [taylor]: Taking taylor expansion of x in y 0.881 * [taylor]: Taking taylor expansion of y in y 0.881 * [taylor]: Taking taylor expansion of x in y 0.881 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.881 * [taylor]: Taking taylor expansion of (+ x y) in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.881 * [taylor]: Taking taylor expansion of y in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.881 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.881 * [taylor]: Taking taylor expansion of (+ x y) in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.881 * [taylor]: Taking taylor expansion of y in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.881 * [taylor]: Taking taylor expansion of y in y 0.882 * [taylor]: Taking taylor expansion of 1 in y 0.883 * [taylor]: Taking taylor expansion of 0 in y 0.884 * [taylor]: Taking taylor expansion of 0 in y 0.885 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.885 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.885 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.885 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.885 * [taylor]: Taking taylor expansion of y in y 0.885 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.885 * [taylor]: Taking taylor expansion of x in y 0.885 * [taylor]: Taking taylor expansion of x in y 0.885 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.885 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.885 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.885 * [taylor]: Taking taylor expansion of y in x 0.885 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.885 * [taylor]: Taking taylor expansion of x in x 0.885 * [taylor]: Taking taylor expansion of x in x 0.885 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.885 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.885 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.886 * [taylor]: Taking taylor expansion of y in x 0.886 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.886 * [taylor]: Taking taylor expansion of 0 in y 0.887 * [taylor]: Taking taylor expansion of 1 in y 0.889 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.889 * [taylor]: Taking taylor expansion of y in y 0.891 * [taylor]: Taking taylor expansion of 0 in y 0.893 * [taylor]: Taking taylor expansion of 0 in y 0.894 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.894 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.894 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.894 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.894 * [taylor]: Taking taylor expansion of y in y 0.894 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.894 * [taylor]: Taking taylor expansion of x in y 0.894 * [taylor]: Taking taylor expansion of x in y 0.894 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.894 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.894 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.894 * [taylor]: Taking taylor expansion of y in x 0.894 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.894 * [taylor]: Taking taylor expansion of x in x 0.894 * [taylor]: Taking taylor expansion of x in x 0.894 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.894 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.894 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.894 * [taylor]: Taking taylor expansion of y in x 0.894 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.894 * [taylor]: Taking taylor expansion of x in x 0.895 * [taylor]: Taking taylor expansion of x in x 0.895 * [taylor]: Taking taylor expansion of 0 in y 0.896 * [taylor]: Taking taylor expansion of 1 in y 0.898 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.898 * [taylor]: Taking taylor expansion of y in y 0.899 * [taylor]: Taking taylor expansion of 0 in y 0.901 * [taylor]: Taking taylor expansion of 0 in y 0.902 * * * [progress]: simplifying candidates 0.904 * [simplify]: Simplifying using # : (expm1 (/ 1 (/ (+ x y) x))) (log1p (/ 1 (/ (+ x y) x))) (- 1) (- (- (log (+ x y)) (log x))) (- (log (/ (+ x y) x))) (- 0 (- (log (+ x y)) (log x))) (- 0 (log (/ (+ x y) x))) (- (log 1) (- (log (+ x y)) (log x))) (- (log 1) (log (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (exp (/ 1 (/ (+ x y) x))) (/ (* (* 1 1) 1) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x))) (* (cbrt (/ 1 (/ (+ x y) x))) (cbrt (/ 1 (/ (+ x y) x)))) (cbrt (/ 1 (/ (+ x y) x))) (* (* (/ 1 (/ (+ x y) x)) (/ 1 (/ (+ x y) x))) (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (- 1) (- (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ (cbrt 1) (cbrt (/ (+ x y) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ x y) x))) (/ (cbrt 1) (sqrt (/ (+ x y) x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (cbrt (+ x y)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ (cbrt 1) (/ (cbrt (+ x y)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ (cbrt 1) (/ (cbrt (+ x y)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (sqrt (+ x y)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) (sqrt x))) (/ (cbrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) 1)) (/ (cbrt 1) (/ (sqrt (+ x y)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ x y) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ x y) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ x y) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ x y) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (+ x y)) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ (sqrt 1) (cbrt (/ (+ x y) x))) (/ (sqrt 1) (sqrt (/ (+ x y) x))) (/ (sqrt 1) (sqrt (/ (+ x y) x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (cbrt (+ x y)) (cbrt x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ (sqrt 1) (/ (cbrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ (sqrt 1) (/ (cbrt (+ x y)) x)) (/ (sqrt 1) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (sqrt (+ x y)) (cbrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) 1)) (/ (sqrt 1) (/ (sqrt (+ x y)) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ x y) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ x y) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ x y) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ x y) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) (+ x y)) (/ (sqrt 1) (/ 1 x)) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (cbrt (+ x y)) (cbrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ 1 (/ (cbrt (+ x y)) (sqrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ 1 (/ (cbrt (+ x y)) x)) (/ 1 (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ x y)) (cbrt x))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) 1)) (/ 1 (/ (sqrt (+ x y)) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ x y) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ x y) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ x y) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ x y) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ x y) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ x y) x)) (/ 1 1) (/ 1 (/ (+ x y) x)) (/ 1 (+ x y)) (/ 1 (/ 1 x)) (/ 1 (/ (+ x y) x)) (/ (/ (+ x y) x) 1) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ 1 (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) 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 (+ x y)) (/ (/ (+ x y) x) (cbrt 1)) (/ (/ (+ x y) x) (sqrt 1)) (/ (/ (+ x y) x) 1) (/ 1 (+ x y)) (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) (/ (* (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) (/ 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 (+ x y)) (* x (+ (* x x) (- (* y y) (* x y)))) (* x (- x y)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.905 * [simplify]: Sending expressions to egg_math: (expm1 (/ 1 (/ (+ h0 h1) h0))) (log1p (/ 1 (/ (+ h0 h1) h0))) (- 1) (- (- (log (+ h0 h1)) (log h0))) (- (log (/ (+ h0 h1) h0))) (- 0 (- (log (+ h0 h1)) (log h0))) (- 0 (log (/ (+ h0 h1) h0))) (- (log 1) (- (log (+ h0 h1)) (log h0))) (- (log 1) (log (/ (+ h0 h1) h0))) (log (/ 1 (/ (+ h0 h1) h0))) (exp (/ 1 (/ (+ h0 h1) h0))) (/ (* (* 1 1) 1) (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* h0 h0) h0))) (/ (* (* 1 1) 1) (* (* (/ (+ h0 h1) h0) (/ (+ h0 h1) h0)) (/ (+ h0 h1) h0))) (* (cbrt (/ 1 (/ (+ h0 h1) h0))) (cbrt (/ 1 (/ (+ h0 h1) h0)))) (cbrt (/ 1 (/ (+ h0 h1) h0))) (* (* (/ 1 (/ (+ h0 h1) h0)) (/ 1 (/ (+ h0 h1) h0))) (/ 1 (/ (+ h0 h1) h0))) (sqrt (/ 1 (/ (+ h0 h1) h0))) (sqrt (/ 1 (/ (+ h0 h1) h0))) (- 1) (- (/ (+ h0 h1) h0)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0)))) (/ (cbrt 1) (cbrt (/ (+ h0 h1) h0))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ h0 h1) h0))) (/ (cbrt 1) (sqrt (/ (+ h0 h1) h0))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0)))) (/ (cbrt 1) (/ (cbrt (+ h0 h1)) (cbrt h0))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h0))) (/ (cbrt 1) (/ (cbrt (+ h0 h1)) (sqrt h0))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1)) (/ (cbrt 1) (/ (cbrt (+ h0 h1)) h0)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ h0 h1)) (* (cbrt h0) (cbrt h0)))) (/ (cbrt 1) (/ (sqrt (+ h0 h1)) (cbrt h0))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ h0 h1)) (sqrt h0))) (/ (cbrt 1) (/ (sqrt (+ h0 h1)) (sqrt h0))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ h0 h1)) 1)) (/ (cbrt 1) (/ (sqrt (+ h0 h1)) h0)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt h0) (cbrt h0)))) (/ (cbrt 1) (/ (+ h0 h1) (cbrt h0))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt h0))) (/ (cbrt 1) (/ (+ h0 h1) (sqrt h0))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ h0 h1) h0)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt h0) (cbrt h0)))) (/ (cbrt 1) (/ (+ h0 h1) (cbrt h0))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt h0))) (/ (cbrt 1) (/ (+ h0 h1) (sqrt h0))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ h0 h1) h0)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ h0 h1) h0)) (/ (* (cbrt 1) (cbrt 1)) (+ h0 h1)) (/ (cbrt 1) (/ 1 h0)) (/ (sqrt 1) (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0)))) (/ (sqrt 1) (cbrt (/ (+ h0 h1) h0))) (/ (sqrt 1) (sqrt (/ (+ h0 h1) h0))) (/ (sqrt 1) (sqrt (/ (+ h0 h1) h0))) (/ (sqrt 1) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0)))) (/ (sqrt 1) (/ (cbrt (+ h0 h1)) (cbrt h0))) (/ (sqrt 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h1 h0) 1) (+ (/ h1 h0) 1) 0.911 * * [simplify]: iteration 0 : 352 enodes (cost 814 ) 0.920 * * [simplify]: iteration 1 : 1552 enodes (cost 715 ) 0.945 * * [simplify]: iteration 2 : 5001 enodes (cost 625 ) 0.949 * [simplify]: Simplified to: (expm1 (/ 1 (/ (+ x y) x))) (log1p (/ 1 (/ (+ x y) x))) (- 1) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (exp (/ 1 (/ (+ x y) x))) (/ 1 (pow (/ (+ x y) x) 3)) (/ 1 (pow (/ (+ x y) x) 3)) (* (cbrt (/ 1 (/ (+ x y) x))) (cbrt (/ 1 (/ (+ x y) x)))) (cbrt (/ 1 (/ (+ x y) x))) (/ 1 (pow (/ (+ x y) x) 3)) (sqrt (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (- 1) (- (/ (+ x y) x)) (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt 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(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 (/ (+ x y) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) 1 (/ (+ x 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 (+ x y)) (* x (fma x x (* y (- y x)))) (* x (- x y)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.950 * * * [progress]: adding candidates to table 1.116 * [progress]: [Phase 3 of 3] Extracting. 1.116 * * [regime]: Finding splitpoints for: (# # #) 1.116 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ x y)) y x) 1.117 * * * * [regimes]: Trying to branch on (/ x (+ x y)) from (# # #) 1.128 * * * * [regimes]: Trying to branch on y from (# # #) 1.145 * * * * [regimes]: Trying to branch on x from (# # #) 1.158 * * * [regime]: Found split indices: #