15.776 * [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) (+ y 1.0)) 0.016 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.018 * * [simplify]: iteration 1 : 14 enodes (cost 3 ) 0.020 * * [simplify]: iteration 2 : 17 enodes (cost 3 ) 0.022 * * [simplify]: iteration 3 : 18 enodes (cost 3 ) 0.024 * * [simplify]: iteration 4 : 18 enodes (cost 3 ) 0.024 * [simplify]: Simplified to: (/ (* x y) (+ y 1.0)) 0.025 * * [progress]: iteration 1 / 4 0.025 * * * [progress]: picking best candidate 0.026 * * * * [pick]: Picked # 0.026 * * * [progress]: localizing error 0.031 * * * [progress]: generating rewritten candidates 0.031 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.042 * * * [progress]: generating series expansions 0.042 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.043 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 0.043 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 0.043 * [taylor]: Taking taylor expansion of (* x y) in y 0.043 * [taylor]: Taking taylor expansion of x in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of 1.0 in y 0.044 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.044 * [taylor]: Taking taylor expansion of (* x y) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of 1.0 in x 0.044 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.044 * [taylor]: Taking taylor expansion of (* x y) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of 1.0 in x 0.045 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of 1.0 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 0.054 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.054 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.054 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) 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 1.0 in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.057 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of 1.0 in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.058 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of 1.0 in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 0.059 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 0.059 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.059 * [taylor]: Taking taylor expansion of 1.0 in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of 1 in y 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (x y) around 0 0.071 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.071 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.071 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.071 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.072 * [taylor]: Taking taylor expansion of 1.0 in y 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.074 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.075 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.075 * [taylor]: Taking taylor expansion of 1.0 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 y in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.076 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.076 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.076 * [taylor]: Taking taylor expansion of 1.0 in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 0.077 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 0.077 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.077 * [taylor]: Taking taylor expansion of 1.0 in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of 1 in y 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.090 * * * [progress]: simplifying candidates 0.091 * [simplify]: Simplifying using # : (expm1 (/ (* x y) (+ y 1.0))) (log1p (/ (* x y) (+ y 1.0))) (- (+ (log x) (log y)) (log (+ y 1.0))) (- (log (* x y)) (log (+ y 1.0))) (log (/ (* x y) (+ y 1.0))) (exp (/ (* x y) (+ y 1.0))) (/ (* (* (* x x) x) (* (* y y) y)) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0))) (/ (* (* (* x y) (* x y)) (* x y)) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0))) (* (cbrt (/ (* x y) (+ y 1.0))) (cbrt (/ (* x y) (+ y 1.0)))) (cbrt (/ (* x y) (+ y 1.0))) (* (* (/ (* x y) (+ y 1.0)) (/ (* x y) (+ y 1.0))) (/ (* x y) (+ y 1.0))) (sqrt (/ (* x y) (+ y 1.0))) (sqrt (/ (* x y) (+ y 1.0))) (- (* x y)) (- (+ y 1.0)) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0))) (/ x (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))) (/ x 1) (/ y (+ y 1.0)) (/ x 1) (/ y (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) (* x y)) (/ (* x y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (* x y) (sqrt (+ y 1.0))) (/ (* x y) 1) (/ (* x y) 1) (/ (+ y 1.0) y) (/ (* x y) (+ (pow y 3) (pow 1.0 3))) (/ (* x y) (- (* y y) (* 1.0 1.0))) (- (+ (* 1.0 (* x y)) (* 1.0 (* x (pow y 3)))) (* 1.0 (* x (pow y 2)))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) 0.095 * * [simplify]: iteration 0 : 200 enodes (cost 154 ) 0.101 * * [simplify]: iteration 1 : 910 enodes (cost 129 ) 0.123 * * [simplify]: iteration 2 : 4740 enodes (cost 126 ) 0.231 * * [simplify]: iteration 3 : 5001 enodes (cost 124 ) 0.233 * [simplify]: Simplified to: (expm1 (/ (* x y) (+ y 1.0))) (log1p (/ (* x y) (+ y 1.0))) (log (/ (* x y) (+ y 1.0))) (log (/ (* x y) (+ y 1.0))) (log (/ (* x y) (+ y 1.0))) (exp (/ (* x y) (+ y 1.0))) (pow (/ (* x y) (+ y 1.0)) 3) (pow (/ (* x y) (+ y 1.0)) 3) (* (cbrt (/ (* x y) (+ y 1.0))) (cbrt (/ (* x y) (+ y 1.0)))) (cbrt (/ (* x y) (+ y 1.0))) (pow (/ (* x y) (+ y 1.0)) 3) (sqrt (/ (* x y) (+ y 1.0))) (sqrt (/ (* x y) (+ y 1.0))) (- (* x y)) (- (+ y 1.0)) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0))) (/ x (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))) x (/ y (+ y 1.0)) x (/ y (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) (* x y)) (/ (* x y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (* x y) (sqrt (+ y 1.0))) (* x y) (* x y) (/ (+ y 1.0) y) (/ (* x y) (+ (pow y 3) (pow 1.0 3))) (/ (* x y) (- (* y y) (* 1.0 1.0))) (* (* 1.0 x) (+ y (- (pow y 3) (pow y 2)))) (fma (/ x y) (- (/ 1.0 y) 1.0) x) (fma (/ x y) (- (/ 1.0 y) 1.0) x) 0.233 * * * [progress]: adding candidates to table 0.293 * * [progress]: iteration 2 / 4 0.293 * * * [progress]: picking best candidate 0.296 * * * * [pick]: Picked # 0.296 * * * [progress]: localizing error 0.301 * * * [progress]: generating rewritten candidates 0.301 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.309 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.324 * * * [progress]: generating series expansions 0.324 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.324 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 0.324 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 0.324 * [taylor]: Taking taylor expansion of (* x y) in y 0.324 * [taylor]: Taking taylor expansion of x in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.324 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.324 * [taylor]: Taking taylor expansion of 1.0 in y 0.325 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.325 * [taylor]: Taking taylor expansion of (* x y) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [taylor]: Taking taylor expansion of 1.0 in x 0.326 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.326 * [taylor]: Taking taylor expansion of (* x y) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.326 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.326 * [taylor]: Taking taylor expansion of 1.0 in x 0.327 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of 1.0 in y 0.328 * [taylor]: Taking taylor expansion of 0 in y 0.332 * [taylor]: Taking taylor expansion of 0 in y 0.336 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 0.336 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.336 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.337 * [taylor]: Taking taylor expansion of x in y 0.337 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.337 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.337 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.337 * [taylor]: Taking taylor expansion of y in y 0.337 * [taylor]: Taking taylor expansion of 1.0 in y 0.337 * [taylor]: Taking taylor expansion of y in y 0.339 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.339 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.339 * [taylor]: Taking taylor expansion of 1.0 in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.340 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.340 * [taylor]: Taking taylor expansion of y in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [taylor]: Taking taylor expansion of y in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 0.342 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 0.342 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.342 * [taylor]: Taking taylor expansion of 1.0 in y 0.342 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of 1 in y 0.344 * [taylor]: Taking taylor expansion of 0 in y 0.349 * [taylor]: Taking taylor expansion of 0 in y 0.353 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (x y) around 0 0.353 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.353 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.353 * [taylor]: Taking taylor expansion of x in y 0.353 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.353 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.353 * [taylor]: Taking taylor expansion of 1.0 in y 0.353 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.356 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.356 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.357 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.357 * [taylor]: Taking taylor expansion of 1.0 in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.357 * [taylor]: Taking taylor expansion of y in x 0.357 * [taylor]: Taking taylor expansion of y in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.358 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.358 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.358 * [taylor]: Taking taylor expansion of 1.0 in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.358 * [taylor]: Taking taylor expansion of y in x 0.358 * [taylor]: Taking taylor expansion of y in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 0.359 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 0.359 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.359 * [taylor]: Taking taylor expansion of 1.0 in y 0.359 * [taylor]: Taking taylor expansion of y in y 0.359 * [taylor]: Taking taylor expansion of 1 in y 0.362 * [taylor]: Taking taylor expansion of 0 in y 0.367 * [taylor]: Taking taylor expansion of 0 in y 0.372 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.372 * [approximate]: Taking taylor expansion of (/ (+ y 1.0) y) in (y) around 0 0.372 * [taylor]: Taking taylor expansion of (/ (+ y 1.0) y) in y 0.372 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.373 * [taylor]: Taking taylor expansion of y in y 0.373 * [taylor]: Taking taylor expansion of 1.0 in y 0.373 * [taylor]: Taking taylor expansion of y in y 0.373 * [taylor]: Taking taylor expansion of (/ (+ y 1.0) y) in y 0.373 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.373 * [taylor]: Taking taylor expansion of y in y 0.373 * [taylor]: Taking taylor expansion of 1.0 in y 0.373 * [taylor]: Taking taylor expansion of y in y 0.380 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in (y) around 0 0.380 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.380 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.381 * [taylor]: Taking taylor expansion of 1.0 in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.381 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) 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 1.0 in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.396 * [approximate]: Taking taylor expansion of (* -1 (* y (- 1.0 (/ 1 y)))) in (y) around 0 0.396 * [taylor]: Taking taylor expansion of (* -1 (* y (- 1.0 (/ 1 y)))) in y 0.396 * [taylor]: Taking taylor expansion of -1 in y 0.396 * [taylor]: Taking taylor expansion of (* y (- 1.0 (/ 1 y))) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.396 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.396 * [taylor]: Taking taylor expansion of 1.0 in y 0.396 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of (* -1 (* y (- 1.0 (/ 1 y)))) in y 0.397 * [taylor]: Taking taylor expansion of -1 in y 0.397 * [taylor]: Taking taylor expansion of (* y (- 1.0 (/ 1 y))) in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.397 * [taylor]: Taking taylor expansion of 1.0 in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.429 * * * [progress]: simplifying candidates 0.432 * [simplify]: Simplifying using # : (expm1 (/ x (/ (+ y 1.0) y))) (log1p (/ x (/ (+ y 1.0) y))) (- (log x) (- (log (+ y 1.0)) (log y))) (- (log x) (log (/ (+ y 1.0) y))) (log (/ x (/ (+ y 1.0) y))) (exp (/ x (/ (+ y 1.0) y))) (/ (* (* x x) x) (/ (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0)) (* (* y y) y))) (/ (* (* x x) x) (* (* (/ (+ y 1.0) y) (/ (+ y 1.0) y)) (/ (+ y 1.0) y))) (* (cbrt (/ x (/ (+ y 1.0) y))) (cbrt (/ x (/ (+ y 1.0) y)))) (cbrt (/ x (/ (+ y 1.0) y))) (* (* (/ x (/ (+ y 1.0) y)) (/ x (/ (+ y 1.0) y))) (/ x (/ (+ y 1.0) y))) (sqrt (/ x (/ (+ y 1.0) y))) (sqrt (/ x (/ (+ y 1.0) y))) (- x) (- (/ (+ y 1.0) y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (/ (+ y 1.0) y)) (cbrt (/ (+ y 1.0) y)))) (/ (cbrt x) (cbrt (/ (+ y 1.0) y))) (/ (* (cbrt x) (cbrt x)) (sqrt (/ (+ y 1.0) y))) (/ (cbrt x) (sqrt (/ (+ y 1.0) y))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ (cbrt (+ y 1.0)) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (sqrt y))) (/ (cbrt x) (/ (cbrt (+ y 1.0)) (sqrt y))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) 1)) (/ (cbrt x) (/ (cbrt (+ y 1.0)) y)) (/ (* (cbrt x) (cbrt x)) (/ (sqrt (+ y 1.0)) (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ (sqrt (+ y 1.0)) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt (+ y 1.0)) (sqrt y))) (/ (cbrt x) (/ (sqrt (+ y 1.0)) (sqrt y))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt (+ y 1.0)) 1)) (/ (cbrt x) (/ (sqrt (+ y 1.0)) y)) (/ (* (cbrt x) (cbrt x)) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ (+ y 1.0) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (/ 1 (sqrt y))) (/ (cbrt x) (/ (+ y 1.0) (sqrt y))) (/ (* (cbrt x) (cbrt x)) (/ 1 1)) (/ (cbrt x) (/ (+ y 1.0) y)) (/ (* (cbrt x) (cbrt x)) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ (+ y 1.0) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (/ 1 (sqrt y))) (/ (cbrt x) (/ (+ y 1.0) (sqrt y))) (/ (* (cbrt x) (cbrt x)) (/ 1 1)) (/ (cbrt x) (/ (+ y 1.0) y)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (/ (+ y 1.0) y)) (/ (* (cbrt x) (cbrt x)) (+ y 1.0)) (/ (cbrt x) (/ 1 y)) (/ (sqrt x) (* (cbrt (/ (+ y 1.0) y)) (cbrt (/ (+ y 1.0) y)))) (/ (sqrt x) (cbrt (/ (+ y 1.0) y))) (/ (sqrt x) (sqrt (/ (+ y 1.0) y))) (/ (sqrt x) (sqrt (/ (+ y 1.0) y))) (/ (sqrt x) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (* (cbrt y) (cbrt y)))) (/ (sqrt x) (/ (cbrt (+ y 1.0)) (cbrt y))) (/ (sqrt x) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (sqrt y))) (/ (sqrt x) (/ (cbrt (+ y 1.0)) (sqrt y))) (/ (sqrt x) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) 1)) (/ (sqrt x) (/ (cbrt (+ y 1.0)) y)) (/ (sqrt x) (/ (sqrt (+ y 1.0)) (* (cbrt y) (cbrt y)))) (/ (sqrt x) (/ (sqrt (+ y 1.0)) (cbrt y))) (/ (sqrt x) (/ (sqrt (+ y 1.0)) (sqrt y))) (/ (sqrt x) (/ (sqrt (+ y 1.0)) (sqrt y))) (/ (sqrt x) (/ (sqrt (+ y 1.0)) 1)) (/ (sqrt x) (/ (sqrt (+ y 1.0)) y)) (/ (sqrt x) (/ 1 (* (cbrt y) (cbrt y)))) (/ (sqrt x) (/ (+ y 1.0) (cbrt y))) (/ (sqrt x) (/ 1 (sqrt y))) (/ (sqrt x) (/ (+ y 1.0) (sqrt y))) (/ (sqrt x) (/ 1 1)) (/ (sqrt x) (/ (+ y 1.0) y)) (/ (sqrt x) (/ 1 (* (cbrt y) (cbrt y)))) (/ (sqrt x) (/ (+ y 1.0) (cbrt y))) (/ (sqrt x) (/ 1 (sqrt y))) (/ (sqrt x) (/ (+ y 1.0) (sqrt y))) (/ (sqrt x) (/ 1 1)) (/ (sqrt x) (/ (+ y 1.0) y)) (/ (sqrt x) 1) (/ (sqrt x) (/ (+ y 1.0) y)) (/ (sqrt x) (+ y 1.0)) (/ (sqrt x) (/ 1 y)) (/ 1 (* (cbrt (/ (+ y 1.0) y)) (cbrt (/ (+ y 1.0) y)))) (/ x (cbrt (/ (+ y 1.0) y))) (/ 1 (sqrt (/ (+ y 1.0) y))) (/ x (sqrt (/ (+ y 1.0) y))) (/ 1 (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (* (cbrt y) (cbrt y)))) (/ x (/ (cbrt (+ y 1.0)) (cbrt y))) (/ 1 (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (sqrt y))) (/ x (/ (cbrt (+ y 1.0)) (sqrt y))) (/ 1 (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) 1)) (/ x (/ (cbrt (+ y 1.0)) y)) (/ 1 (/ (sqrt (+ y 1.0)) (* (cbrt y) (cbrt y)))) (/ x (/ (sqrt (+ y 1.0)) (cbrt y))) (/ 1 (/ (sqrt (+ y 1.0)) (sqrt y))) (/ x (/ (sqrt (+ y 1.0)) (sqrt y))) (/ 1 (/ (sqrt (+ y 1.0)) 1)) (/ x (/ (sqrt (+ y 1.0)) y)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ x (/ (+ y 1.0) (cbrt y))) (/ 1 (/ 1 (sqrt y))) (/ x (/ (+ y 1.0) (sqrt y))) (/ 1 (/ 1 1)) (/ x (/ (+ y 1.0) y)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ x (/ (+ y 1.0) (cbrt y))) (/ 1 (/ 1 (sqrt y))) (/ x (/ (+ y 1.0) (sqrt y))) (/ 1 (/ 1 1)) (/ x (/ (+ y 1.0) y)) (/ 1 1) (/ x (/ (+ y 1.0) y)) (/ 1 (+ y 1.0)) (/ x (/ 1 y)) (/ 1 (/ (+ y 1.0) y)) (/ (/ (+ y 1.0) y) x) (/ x (* (cbrt (/ (+ y 1.0) y)) (cbrt (/ (+ y 1.0) y)))) (/ x (sqrt (/ (+ y 1.0) y))) (/ x (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (* (cbrt y) (cbrt y)))) (/ x (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (sqrt y))) (/ x (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) 1)) (/ x (/ (sqrt (+ y 1.0)) (* (cbrt y) (cbrt y)))) (/ x (/ (sqrt (+ y 1.0)) (sqrt y))) (/ x (/ (sqrt (+ y 1.0)) 1)) (/ x (/ 1 (* (cbrt y) (cbrt y)))) (/ x (/ 1 (sqrt y))) (/ x (/ 1 1)) (/ x (/ 1 (* (cbrt y) (cbrt y)))) (/ x (/ 1 (sqrt y))) (/ x (/ 1 1)) (/ x 1) (/ x (+ y 1.0)) (/ (/ (+ y 1.0) y) (cbrt x)) (/ (/ (+ y 1.0) y) (sqrt x)) (/ (/ (+ y 1.0) y) x) (/ x (+ y 1.0)) (expm1 (/ (+ y 1.0) y)) (log1p (/ (+ y 1.0) y)) (- (log (+ y 1.0)) (log y)) (log (/ (+ y 1.0) y)) (exp (/ (+ y 1.0) y)) (/ (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0)) (* (* y y) y)) (* (cbrt (/ (+ y 1.0) y)) (cbrt (/ (+ y 1.0) y))) (cbrt (/ (+ y 1.0) y)) (* (* (/ (+ y 1.0) y) (/ (+ y 1.0) y)) (/ (+ y 1.0) y)) (sqrt (/ (+ y 1.0) y)) (sqrt (/ (+ y 1.0) y)) (- (+ y 1.0)) (- y) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ y 1.0)) (cbrt y)) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (sqrt y)) (/ (cbrt (+ y 1.0)) (sqrt y)) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) 1) (/ (cbrt (+ y 1.0)) y) (/ (sqrt (+ y 1.0)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ y 1.0)) (cbrt y)) (/ (sqrt (+ y 1.0)) (sqrt y)) (/ (sqrt (+ y 1.0)) (sqrt y)) (/ (sqrt (+ y 1.0)) 1) (/ (sqrt (+ y 1.0)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ y 1.0) (cbrt y)) (/ 1 (sqrt y)) (/ (+ y 1.0) (sqrt y)) (/ 1 1) (/ (+ y 1.0) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ y 1.0) (cbrt y)) (/ 1 (sqrt y)) (/ (+ y 1.0) (sqrt y)) (/ 1 1) (/ (+ y 1.0) y) (/ 1 y) (/ y (+ y 1.0)) (/ (+ y 1.0) (* (cbrt y) (cbrt y))) (/ (+ y 1.0) (sqrt y)) (/ (+ y 1.0) 1) (/ y (cbrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))) (/ y (+ y 1.0)) (/ y (+ y 1.0)) (* y (+ (* y y) (- (* 1.0 1.0) (* y 1.0)))) (* y (- y 1.0)) (- (+ (* 1.0 (* x y)) (* 1.0 (* x (pow y 3)))) (* 1.0 (* x (pow y 2)))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) (+ (* 1.0 (/ 1 y)) 1) (+ (* 1.0 (/ 1 y)) 1) (+ (* 1.0 (/ 1 y)) 1) 0.440 * * [simplify]: iteration 0 : 434 enodes (cost 830 ) 0.452 * * [simplify]: iteration 1 : 1898 enodes (cost 791 ) 0.490 * * [simplify]: iteration 2 : 5002 enodes (cost 787 ) 0.496 * [simplify]: Simplified to: (expm1 (/ x (/ (+ y 1.0) y))) (log1p (/ x (/ (+ y 1.0) y))) (log (/ x (/ (+ y 1.0) y))) (log (/ x (/ (+ y 1.0) y))) (log (/ x (/ (+ y 1.0) y))) (exp (/ x (/ (+ y 1.0) y))) (pow (/ x (/ (+ y 1.0) y)) 3) (pow (/ x (/ (+ y 1.0) y)) 3) (* (cbrt (/ x (/ (+ y 1.0) y))) (cbrt (/ x (/ (+ y 1.0) y)))) (cbrt (/ x (/ (+ y 1.0) y))) (pow (/ x (/ (+ y 1.0) y)) 3) (sqrt (/ x (/ (+ y 1.0) y))) (sqrt (/ x (/ (+ y 1.0) y))) (- x) (- (/ (+ y 1.0) y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (/ (+ y 1.0) y)) (cbrt (/ (+ y 1.0) y)))) (/ (cbrt x) (cbrt (/ (+ y 1.0) y))) (/ (* (cbrt x) (cbrt x)) (sqrt (/ (+ y 1.0) y))) (/ (cbrt x) (sqrt (/ (+ y 1.0) y))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ (cbrt (+ y 1.0)) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (sqrt y))) (/ (cbrt x) (/ (cbrt (+ y 1.0)) (sqrt y))) (/ (cbrt x) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (cbrt x))) (/ (cbrt x) (/ (cbrt (+ y 1.0)) y)) (/ (* (cbrt x) (cbrt x)) (/ (sqrt (+ y 1.0)) (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ (sqrt (+ y 1.0)) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt (+ y 1.0)) (sqrt y))) (/ (cbrt x) (/ (sqrt (+ y 1.0)) (sqrt y))) (/ (cbrt x) (/ (sqrt (+ y 1.0)) (cbrt x))) (/ (cbrt x) (/ (sqrt (+ y 1.0)) y)) (* (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (/ (cbrt x) (/ (+ y 1.0) (cbrt y))) (* (* (cbrt x) (cbrt x)) (sqrt y)) (/ (cbrt x) (/ (+ y 1.0) (sqrt y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ (+ y 1.0) y)) (* (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (/ (cbrt x) (/ (+ y 1.0) (cbrt y))) (* (* (cbrt x) (cbrt x)) (sqrt y)) (/ (cbrt x) (/ (+ y 1.0) (sqrt y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ (+ y 1.0) y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ (+ y 1.0) y)) (/ (* (cbrt x) (cbrt x)) (+ y 1.0)) (* y (cbrt x)) (/ (sqrt x) (* (cbrt (/ (+ y 1.0) y)) (cbrt (/ (+ y 1.0) y)))) (/ (sqrt x) (cbrt (/ (+ y 1.0) y))) (/ (sqrt x) (sqrt (/ (+ y 1.0) y))) (/ (sqrt x) (sqrt (/ (+ y 1.0) y))) (/ (sqrt x) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (* (cbrt y) (cbrt y)))) (/ (sqrt x) (/ (cbrt (+ y 1.0)) (cbrt y))) (/ (sqrt x) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (sqrt y))) (/ (sqrt x) (/ (cbrt (+ y 1.0)) (sqrt y))) (/ (sqrt x) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt x) (/ (cbrt (+ y 1.0)) y)) (/ (sqrt x) (/ (sqrt (+ y 1.0)) (* (cbrt y) (cbrt y)))) (/ (sqrt x) (/ (sqrt (+ y 1.0)) (cbrt y))) (/ (sqrt x) (/ (sqrt (+ y 1.0)) (sqrt y))) (/ (sqrt x) (/ (sqrt (+ y 1.0)) (sqrt y))) (/ (sqrt x) (sqrt (+ y 1.0))) (/ (sqrt x) (/ (sqrt (+ y 1.0)) y)) (* (sqrt x) (* (cbrt y) (cbrt y))) (/ (sqrt x) (/ (+ y 1.0) (cbrt y))) (* (sqrt x) (sqrt y)) (/ (sqrt x) (/ (+ y 1.0) (sqrt y))) (sqrt x) (/ (sqrt x) (/ (+ y 1.0) y)) (* (sqrt x) (* (cbrt y) (cbrt y))) (/ (sqrt x) (/ (+ y 1.0) (cbrt y))) (* (sqrt x) (sqrt y)) (/ (sqrt x) (/ (+ y 1.0) (sqrt y))) (sqrt x) (/ (sqrt x) (/ (+ y 1.0) y)) (sqrt x) (/ (sqrt x) (/ (+ y 1.0) y)) (/ (sqrt x) (+ y 1.0)) (* (sqrt x) y) (/ 1 (* (cbrt (/ (+ y 1.0) y)) (cbrt (/ (+ y 1.0) y)))) (/ x (cbrt (/ (+ y 1.0) y))) (/ 1 (sqrt (/ (+ y 1.0) y))) (/ x (sqrt (/ (+ y 1.0) y))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ x (/ (cbrt (+ y 1.0)) (cbrt y))) (/ (sqrt y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ x (/ (cbrt (+ y 1.0)) (sqrt y))) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ x (/ (cbrt (+ y 1.0)) y)) (/ (* (cbrt y) (cbrt y)) (sqrt (+ y 1.0))) (/ x (/ (sqrt (+ y 1.0)) (cbrt y))) (/ (sqrt y) (sqrt (+ y 1.0))) (/ x (/ (sqrt (+ y 1.0)) (sqrt y))) (/ 1 (sqrt (+ y 1.0))) (/ x (/ (sqrt (+ y 1.0)) y)) (* (cbrt y) (cbrt y)) (/ x (/ (+ y 1.0) (cbrt y))) (sqrt y) (/ x (/ (+ y 1.0) (sqrt y))) 1 (/ x (/ (+ y 1.0) y)) (* (cbrt y) (cbrt y)) (/ x (/ (+ y 1.0) (cbrt y))) (sqrt y) (/ x (/ (+ y 1.0) (sqrt y))) 1 (/ x (/ (+ y 1.0) y)) 1 (/ x (/ (+ y 1.0) y)) (/ 1 (+ y 1.0)) (* x y) (/ y (+ y 1.0)) (/ (/ (+ y 1.0) y) x) (/ x (* (cbrt (/ (+ y 1.0) y)) (cbrt (/ (+ y 1.0) y)))) (/ x (sqrt (/ (+ y 1.0) y))) (/ x (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (* (cbrt y) (cbrt y)))) (/ x (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (sqrt y))) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ x (/ (sqrt (+ y 1.0)) (* (cbrt y) (cbrt y)))) (/ x (/ (sqrt (+ y 1.0)) (sqrt y))) (/ x (sqrt (+ y 1.0))) (* x (* (cbrt y) (cbrt y))) (* x (sqrt y)) x (* x (* (cbrt y) (cbrt y))) (* x (sqrt y)) x x (/ x (+ y 1.0)) (/ (/ (+ y 1.0) y) (cbrt x)) (/ (/ (+ y 1.0) y) (sqrt x)) (/ (/ (+ y 1.0) y) x) (/ x (+ y 1.0)) (expm1 (/ (+ y 1.0) y)) (log1p (/ (+ y 1.0) y)) (log (/ (+ y 1.0) y)) (log (/ (+ y 1.0) y)) (exp (/ (+ y 1.0) y)) (pow (/ (+ y 1.0) y) 3) (* (cbrt (/ (+ y 1.0) y)) (cbrt (/ (+ y 1.0) y))) (cbrt (/ (+ y 1.0) y)) (pow (/ (+ y 1.0) y) 3) (sqrt (/ (+ y 1.0) y)) (sqrt (/ (+ y 1.0) y)) (- (+ y 1.0)) (- y) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ y 1.0)) (cbrt y)) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (sqrt y)) (/ (cbrt (+ y 1.0)) (sqrt y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (/ (cbrt (+ y 1.0)) y) (/ (sqrt (+ y 1.0)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ y 1.0)) (cbrt y)) (/ (sqrt (+ y 1.0)) (sqrt y)) (/ (sqrt (+ y 1.0)) (sqrt y)) (sqrt (+ y 1.0)) (/ (sqrt (+ y 1.0)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ y 1.0) (cbrt y)) (/ 1 (sqrt y)) (/ (+ y 1.0) (sqrt y)) 1 (/ (+ y 1.0) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ y 1.0) (cbrt y)) (/ 1 (sqrt y)) (/ (+ y 1.0) (sqrt y)) 1 (/ (+ y 1.0) y) (/ 1 y) (/ y (+ y 1.0)) (/ (+ y 1.0) (* (cbrt y) (cbrt y))) (/ (+ y 1.0) (sqrt y)) (+ y 1.0) (/ y (cbrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))) (/ y (+ y 1.0)) (/ y (+ y 1.0)) (fma y (* 1.0 (- 1.0 y)) (pow y 3)) (* y (- y 1.0)) (* 1.0 (- (fma x y (* x (pow y 3))) (* x (pow y 2)))) (fma 1.0 (- (/ x (pow y 2)) (/ x y)) x) (fma 1.0 (- (/ x (pow y 2)) (/ x y)) x) (fma 1.0 (/ 1 y) 1) (fma 1.0 (/ 1 y) 1) (fma 1.0 (/ 1 y) 1) 0.497 * * * [progress]: adding candidates to table 0.748 * * [progress]: iteration 3 / 4 0.748 * * * [progress]: picking best candidate 0.751 * * * * [pick]: Picked # 0.751 * * * [progress]: localizing error 0.757 * * * [progress]: generating rewritten candidates 0.757 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.761 * * * [progress]: generating series expansions 0.761 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.761 * [approximate]: Taking taylor expansion of (/ x (fma 1.0 (/ 1 y) 1)) in (x y) around 0 0.761 * [taylor]: Taking taylor expansion of (/ x (fma 1.0 (/ 1 y) 1)) in y 0.761 * [taylor]: Taking taylor expansion of x in y 0.761 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 y) 1) in y 0.761 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 y)) 1) 0.761 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.761 * [taylor]: Taking taylor expansion of 1.0 in y 0.761 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.762 * [taylor]: Taking taylor expansion of y in y 0.762 * [taylor]: Taking taylor expansion of 1 in y 0.763 * [taylor]: Taking taylor expansion of (/ x (fma 1.0 (/ 1 y) 1)) in x 0.763 * [taylor]: Taking taylor expansion of x in x 0.763 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 y) 1) in x 0.763 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 y)) 1) 0.763 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.763 * [taylor]: Taking taylor expansion of 1.0 in x 0.763 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.763 * [taylor]: Taking taylor expansion of y in x 0.763 * [taylor]: Taking taylor expansion of 1 in x 0.763 * [taylor]: Taking taylor expansion of (/ x (fma 1.0 (/ 1 y) 1)) in x 0.763 * [taylor]: Taking taylor expansion of x in x 0.763 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 y) 1) in x 0.763 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 y)) 1) 0.763 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.763 * [taylor]: Taking taylor expansion of 1.0 in x 0.763 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.763 * [taylor]: Taking taylor expansion of y in x 0.764 * [taylor]: Taking taylor expansion of 1 in x 0.764 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 (/ 1 y)) 1)) in y 0.764 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 y)) 1) in y 0.764 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.764 * [taylor]: Taking taylor expansion of 1.0 in y 0.764 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.764 * [taylor]: Taking taylor expansion of y in y 0.764 * [taylor]: Taking taylor expansion of 1 in y 0.766 * [taylor]: Taking taylor expansion of 0 in y 0.770 * [taylor]: Taking taylor expansion of 0 in y 0.775 * [approximate]: Taking taylor expansion of (/ 1 (* x (fma 1.0 y 1))) in (x y) around 0 0.775 * [taylor]: Taking taylor expansion of (/ 1 (* x (fma 1.0 y 1))) in y 0.775 * [taylor]: Taking taylor expansion of (* x (fma 1.0 y 1)) in y 0.775 * [taylor]: Taking taylor expansion of x in y 0.775 * [taylor]: Taking taylor expansion of (fma 1.0 y 1) in y 0.776 * [taylor]: Rewrote expression to (+ (* 1.0 y) 1) 0.776 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.776 * [taylor]: Taking taylor expansion of 1.0 in y 0.776 * [taylor]: Taking taylor expansion of y in y 0.776 * [taylor]: Taking taylor expansion of 1 in y 0.776 * [taylor]: Taking taylor expansion of (/ 1 (* x (fma 1.0 y 1))) in x 0.776 * [taylor]: Taking taylor expansion of (* x (fma 1.0 y 1)) in x 0.776 * [taylor]: Taking taylor expansion of x in x 0.776 * [taylor]: Taking taylor expansion of (fma 1.0 y 1) in x 0.776 * [taylor]: Rewrote expression to (+ (* 1.0 y) 1) 0.776 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 0.776 * [taylor]: Taking taylor expansion of 1.0 in x 0.777 * [taylor]: Taking taylor expansion of y in x 0.777 * [taylor]: Taking taylor expansion of 1 in x 0.778 * [taylor]: Taking taylor expansion of (/ 1 (* x (fma 1.0 y 1))) in x 0.778 * [taylor]: Taking taylor expansion of (* x (fma 1.0 y 1)) in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.778 * [taylor]: Taking taylor expansion of (fma 1.0 y 1) in x 0.778 * [taylor]: Rewrote expression to (+ (* 1.0 y) 1) 0.778 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 0.778 * [taylor]: Taking taylor expansion of 1.0 in x 0.778 * [taylor]: Taking taylor expansion of y in x 0.778 * [taylor]: Taking taylor expansion of 1 in x 0.779 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 0.779 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 0.779 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.779 * [taylor]: Taking taylor expansion of 1.0 in y 0.779 * [taylor]: Taking taylor expansion of y in y 0.779 * [taylor]: Taking taylor expansion of 1 in y 0.786 * [taylor]: Taking taylor expansion of 0 in y 0.791 * [taylor]: Taking taylor expansion of 0 in y 0.795 * [approximate]: Taking taylor expansion of (/ -1 (* x (fma 1.0 (* -1 y) 1))) in (x y) around 0 0.795 * [taylor]: Taking taylor expansion of (/ -1 (* x (fma 1.0 (* -1 y) 1))) in y 0.795 * [taylor]: Taking taylor expansion of -1 in y 0.795 * [taylor]: Taking taylor expansion of (* x (fma 1.0 (* -1 y) 1)) in y 0.795 * [taylor]: Taking taylor expansion of x in y 0.795 * [taylor]: Taking taylor expansion of (fma 1.0 (* -1 y) 1) in y 0.796 * [taylor]: Rewrote expression to (+ (* 1.0 (* -1 y)) 1) 0.796 * [taylor]: Taking taylor expansion of (* 1.0 (* -1 y)) in y 0.796 * [taylor]: Taking taylor expansion of 1.0 in y 0.796 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.796 * [taylor]: Taking taylor expansion of -1 in y 0.796 * [taylor]: Taking taylor expansion of y in y 0.796 * [taylor]: Taking taylor expansion of 1 in y 0.797 * [taylor]: Taking taylor expansion of (/ -1 (* x (fma 1.0 (* -1 y) 1))) in x 0.797 * [taylor]: Taking taylor expansion of -1 in x 0.797 * [taylor]: Taking taylor expansion of (* x (fma 1.0 (* -1 y) 1)) in x 0.797 * [taylor]: Taking taylor expansion of x in x 0.797 * [taylor]: Taking taylor expansion of (fma 1.0 (* -1 y) 1) in x 0.797 * [taylor]: Rewrote expression to (+ (* 1.0 (* -1 y)) 1) 0.797 * [taylor]: Taking taylor expansion of (* 1.0 (* -1 y)) in x 0.797 * [taylor]: Taking taylor expansion of 1.0 in x 0.797 * [taylor]: Taking taylor expansion of (* -1 y) in x 0.797 * [taylor]: Taking taylor expansion of -1 in x 0.797 * [taylor]: Taking taylor expansion of y in x 0.797 * [taylor]: Taking taylor expansion of 1 in x 0.798 * [taylor]: Taking taylor expansion of (/ -1 (* x (fma 1.0 (* -1 y) 1))) in x 0.798 * [taylor]: Taking taylor expansion of -1 in x 0.798 * [taylor]: Taking taylor expansion of (* x (fma 1.0 (* -1 y) 1)) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.798 * [taylor]: Taking taylor expansion of (fma 1.0 (* -1 y) 1) in x 0.799 * [taylor]: Rewrote expression to (+ (* 1.0 (* -1 y)) 1) 0.799 * [taylor]: Taking taylor expansion of (* 1.0 (* -1 y)) in x 0.799 * [taylor]: Taking taylor expansion of 1.0 in x 0.799 * [taylor]: Taking taylor expansion of (* -1 y) in x 0.799 * [taylor]: Taking taylor expansion of -1 in x 0.799 * [taylor]: Taking taylor expansion of y in x 0.799 * [taylor]: Taking taylor expansion of 1 in x 0.800 * [taylor]: Taking taylor expansion of (/ -1 (- 1 (* 1.0 y))) in y 0.800 * [taylor]: Taking taylor expansion of -1 in y 0.800 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 y)) in y 0.800 * [taylor]: Taking taylor expansion of 1 in y 0.800 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.800 * [taylor]: Taking taylor expansion of 1.0 in y 0.800 * [taylor]: Taking taylor expansion of y in y 0.803 * [taylor]: Taking taylor expansion of 0 in y 0.810 * [taylor]: Taking taylor expansion of 0 in y 0.816 * * * [progress]: simplifying candidates 0.817 * [simplify]: Simplifying using # : (expm1 (/ x (fma 1.0 (/ 1 y) 1))) (log1p (/ x (fma 1.0 (/ 1 y) 1))) (- (log x) (log (fma 1.0 (/ 1 y) 1))) (log (/ x (fma 1.0 (/ 1 y) 1))) (exp (/ x (fma 1.0 (/ 1 y) 1))) (/ (* (* x x) x) (* (* (fma 1.0 (/ 1 y) 1) (fma 1.0 (/ 1 y) 1)) (fma 1.0 (/ 1 y) 1))) (* (cbrt (/ x (fma 1.0 (/ 1 y) 1))) (cbrt (/ x (fma 1.0 (/ 1 y) 1)))) (cbrt (/ x (fma 1.0 (/ 1 y) 1))) (* (* (/ x (fma 1.0 (/ 1 y) 1)) (/ x (fma 1.0 (/ 1 y) 1))) (/ x (fma 1.0 (/ 1 y) 1))) (sqrt (/ x (fma 1.0 (/ 1 y) 1))) (sqrt (/ x (fma 1.0 (/ 1 y) 1))) (- x) (- (fma 1.0 (/ 1 y) 1)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (fma 1.0 (/ 1 y) 1)) (cbrt (fma 1.0 (/ 1 y) 1)))) (/ (cbrt x) (cbrt (fma 1.0 (/ 1 y) 1))) (/ (* (cbrt x) (cbrt x)) (sqrt (fma 1.0 (/ 1 y) 1))) (/ (cbrt x) (sqrt (fma 1.0 (/ 1 y) 1))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (fma 1.0 (/ 1 y) 1)) (/ (sqrt x) (* (cbrt (fma 1.0 (/ 1 y) 1)) (cbrt (fma 1.0 (/ 1 y) 1)))) (/ (sqrt x) (cbrt (fma 1.0 (/ 1 y) 1))) (/ (sqrt x) (sqrt (fma 1.0 (/ 1 y) 1))) (/ (sqrt x) (sqrt (fma 1.0 (/ 1 y) 1))) (/ (sqrt x) 1) (/ (sqrt x) (fma 1.0 (/ 1 y) 1)) (/ 1 (* (cbrt (fma 1.0 (/ 1 y) 1)) (cbrt (fma 1.0 (/ 1 y) 1)))) (/ x (cbrt (fma 1.0 (/ 1 y) 1))) (/ 1 (sqrt (fma 1.0 (/ 1 y) 1))) (/ x (sqrt (fma 1.0 (/ 1 y) 1))) (/ 1 1) (/ x (fma 1.0 (/ 1 y) 1)) (/ 1 (fma 1.0 (/ 1 y) 1)) (/ (fma 1.0 (/ 1 y) 1) x) (/ x (* (cbrt (fma 1.0 (/ 1 y) 1)) (cbrt (fma 1.0 (/ 1 y) 1)))) (/ x (sqrt (fma 1.0 (/ 1 y) 1))) (/ x 1) (/ (fma 1.0 (/ 1 y) 1) (cbrt x)) (/ (fma 1.0 (/ 1 y) 1) (sqrt x)) (/ (fma 1.0 (/ 1 y) 1) x) (- (+ (* 1.0 (* x y)) (* 1.0 (* x (pow y 3)))) (* 1.0 (* x (pow y 2)))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) 0.821 * * [simplify]: iteration 0 : 142 enodes (cost 207 ) 0.826 * * [simplify]: iteration 1 : 500 enodes (cost 188 ) 0.839 * * [simplify]: iteration 2 : 2141 enodes (cost 185 ) 0.894 * * [simplify]: iteration 3 : 5002 enodes (cost 183 ) 0.896 * [simplify]: Simplified to: (expm1 (/ x (fma 1.0 (/ 1 y) 1))) (log1p (/ x (fma 1.0 (/ 1 y) 1))) (log (/ x (fma 1.0 (/ 1 y) 1))) (log (/ x (fma 1.0 (/ 1 y) 1))) (exp (/ x (fma 1.0 (/ 1 y) 1))) (pow (/ x (fma 1.0 (/ 1 y) 1)) 3) (* (cbrt (/ x (fma 1.0 (/ 1 y) 1))) (cbrt (/ x (fma 1.0 (/ 1 y) 1)))) (cbrt (/ x (fma 1.0 (/ 1 y) 1))) (pow (/ x (fma 1.0 (/ 1 y) 1)) 3) (sqrt (/ x (fma 1.0 (/ 1 y) 1))) (sqrt (/ x (fma 1.0 (/ 1 y) 1))) (- x) (- (fma 1.0 (/ 1 y) 1)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (fma 1.0 (/ 1 y) 1)) (cbrt (fma 1.0 (/ 1 y) 1)))) (/ (cbrt x) (cbrt (fma 1.0 (/ 1 y) 1))) (/ (* (cbrt x) (cbrt x)) (sqrt (fma 1.0 (/ 1 y) 1))) (/ (cbrt x) (sqrt (fma 1.0 (/ 1 y) 1))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (fma 1.0 (/ 1 y) 1)) (/ (sqrt x) (* (cbrt (fma 1.0 (/ 1 y) 1)) (cbrt (fma 1.0 (/ 1 y) 1)))) (/ (sqrt x) (cbrt (fma 1.0 (/ 1 y) 1))) (/ (sqrt x) (sqrt (fma 1.0 (/ 1 y) 1))) (/ (sqrt x) (sqrt (fma 1.0 (/ 1 y) 1))) (sqrt x) (/ (sqrt x) (fma 1.0 (/ 1 y) 1)) (/ 1 (* (cbrt (fma 1.0 (/ 1 y) 1)) (cbrt (fma 1.0 (/ 1 y) 1)))) (/ x (cbrt (fma 1.0 (/ 1 y) 1))) (/ 1 (sqrt (fma 1.0 (/ 1 y) 1))) (/ x (sqrt (fma 1.0 (/ 1 y) 1))) 1 (/ x (fma 1.0 (/ 1 y) 1)) (/ 1 (fma 1.0 (/ 1 y) 1)) (/ (fma 1.0 (/ 1 y) 1) x) (/ x (* (cbrt (fma 1.0 (/ 1 y) 1)) (cbrt (fma 1.0 (/ 1 y) 1)))) (/ x (sqrt (fma 1.0 (/ 1 y) 1))) x (/ (fma 1.0 (/ 1 y) 1) (cbrt x)) (/ (fma 1.0 (/ 1 y) 1) (sqrt x)) (/ (fma 1.0 (/ 1 y) 1) x) (* (* 1.0 x) (+ y (- (pow y 3) (pow y 2)))) (fma (/ x y) (- (/ 1.0 y) 1.0) x) (fma (/ x y) (- (/ 1.0 y) 1.0) x) 0.897 * * * [progress]: adding candidates to table 0.970 * * [progress]: iteration 4 / 4 0.970 * * * [progress]: picking best candidate 0.971 * * * * [pick]: Picked # 0.971 * * * [progress]: localizing error 0.977 * * * [progress]: generating rewritten candidates 0.977 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.988 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.000 * * * [progress]: generating series expansions 1.000 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.000 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 1.000 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 1.000 * [taylor]: Taking taylor expansion of (* x y) in y 1.000 * [taylor]: Taking taylor expansion of x in y 1.000 * [taylor]: Taking taylor expansion of y in y 1.000 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.000 * [taylor]: Taking taylor expansion of y in y 1.000 * [taylor]: Taking taylor expansion of 1.0 in y 1.001 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 1.001 * [taylor]: Taking taylor expansion of (* x y) in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [taylor]: Taking taylor expansion of y in x 1.001 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 1.001 * [taylor]: Taking taylor expansion of y in x 1.001 * [taylor]: Taking taylor expansion of 1.0 in x 1.002 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 1.002 * [taylor]: Taking taylor expansion of (* x y) in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.002 * [taylor]: Taking taylor expansion of y in x 1.002 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 1.002 * [taylor]: Taking taylor expansion of y in x 1.002 * [taylor]: Taking taylor expansion of 1.0 in x 1.002 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 1.003 * [taylor]: Taking taylor expansion of y in y 1.003 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.003 * [taylor]: Taking taylor expansion of y in y 1.003 * [taylor]: Taking taylor expansion of 1.0 in y 1.004 * [taylor]: Taking taylor expansion of 0 in y 1.008 * [taylor]: Taking taylor expansion of 0 in y 1.012 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 1.012 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 1.012 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 1.012 * [taylor]: Taking taylor expansion of x in y 1.012 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 1.012 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 1.012 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.012 * [taylor]: Taking taylor expansion of y in y 1.013 * [taylor]: Taking taylor expansion of 1.0 in y 1.013 * [taylor]: Taking taylor expansion of y in y 1.015 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 1.015 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.015 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 1.015 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 1.015 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.015 * [taylor]: Taking taylor expansion of y in x 1.015 * [taylor]: Taking taylor expansion of 1.0 in x 1.015 * [taylor]: Taking taylor expansion of y in x 1.016 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 1.016 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 1.016 * [taylor]: Taking taylor expansion of x in x 1.016 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 1.016 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 1.016 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.016 * [taylor]: Taking taylor expansion of y in x 1.016 * [taylor]: Taking taylor expansion of 1.0 in x 1.016 * [taylor]: Taking taylor expansion of y in x 1.017 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 1.017 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 1.017 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.017 * [taylor]: Taking taylor expansion of 1.0 in y 1.017 * [taylor]: Taking taylor expansion of y in y 1.017 * [taylor]: Taking taylor expansion of 1 in y 1.019 * [taylor]: Taking taylor expansion of 0 in y 1.024 * [taylor]: Taking taylor expansion of 0 in y 1.028 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (x y) around 0 1.028 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 1.028 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 1.028 * [taylor]: Taking taylor expansion of x in y 1.028 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 1.029 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 1.029 * [taylor]: Taking taylor expansion of 1.0 in y 1.029 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.029 * [taylor]: Taking taylor expansion of y in y 1.029 * [taylor]: Taking taylor expansion of y in y 1.031 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 1.031 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 1.031 * [taylor]: Taking taylor expansion of x in x 1.032 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 1.032 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 1.032 * [taylor]: Taking taylor expansion of 1.0 in x 1.032 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.032 * [taylor]: Taking taylor expansion of y in x 1.032 * [taylor]: Taking taylor expansion of y in x 1.033 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 1.033 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 1.033 * [taylor]: Taking taylor expansion of x in x 1.033 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 1.033 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 1.033 * [taylor]: Taking taylor expansion of 1.0 in x 1.033 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.033 * [taylor]: Taking taylor expansion of y in x 1.033 * [taylor]: Taking taylor expansion of y in x 1.034 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 1.034 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 1.034 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.034 * [taylor]: Taking taylor expansion of 1.0 in y 1.034 * [taylor]: Taking taylor expansion of y in y 1.034 * [taylor]: Taking taylor expansion of 1 in y 1.037 * [taylor]: Taking taylor expansion of 0 in y 1.042 * [taylor]: Taking taylor expansion of 0 in y 1.047 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.047 * [approximate]: Taking taylor expansion of (/ 1 (+ y 1.0)) in (y) around 0 1.047 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in y 1.047 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.047 * [taylor]: Taking taylor expansion of y in y 1.047 * [taylor]: Taking taylor expansion of 1.0 in y 1.048 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in y 1.048 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.048 * [taylor]: Taking taylor expansion of y in y 1.048 * [taylor]: Taking taylor expansion of 1.0 in y 1.054 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in (y) around 0 1.054 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 1.054 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 1.054 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.054 * [taylor]: Taking taylor expansion of y in y 1.054 * [taylor]: Taking taylor expansion of 1.0 in y 1.055 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 1.055 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 1.055 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.055 * [taylor]: Taking taylor expansion of y in y 1.055 * [taylor]: Taking taylor expansion of 1.0 in y 1.062 * [approximate]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in (y) around 0 1.062 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in y 1.062 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 1.062 * [taylor]: Taking taylor expansion of 1.0 in y 1.062 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.062 * [taylor]: Taking taylor expansion of y in y 1.063 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in y 1.063 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 1.063 * [taylor]: Taking taylor expansion of 1.0 in y 1.063 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.063 * [taylor]: Taking taylor expansion of y in y 1.071 * * * [progress]: simplifying candidates 1.072 * [simplify]: Simplifying using # : (expm1 (* (* x y) (/ 1 (+ y 1.0)))) (log1p (* (* x y) (/ 1 (+ y 1.0)))) (* (* x y) (/ 1 (+ y 1.0))) (* (* x y) (/ 1 (+ y 1.0))) (+ (+ (log x) (log y)) (- (log (+ y 1.0)))) (+ (+ (log x) (log y)) (- 0 (log (+ y 1.0)))) (+ (+ (log x) (log y)) (- (log 1) (log (+ y 1.0)))) (+ (+ (log x) (log y)) (log (/ 1 (+ y 1.0)))) (+ (log (* x y)) (- (log (+ y 1.0)))) (+ (log (* x y)) (- 0 (log (+ y 1.0)))) (+ (log (* x y)) (- (log 1) (log (+ y 1.0)))) (+ (log (* x y)) (log (/ 1 (+ y 1.0)))) (log (* (* x y) (/ 1 (+ y 1.0)))) (exp (* (* x y) (/ 1 (+ y 1.0)))) (* (* (* (* x x) x) (* (* y y) y)) (/ (* (* 1 1) 1) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0)))) (* (* (* (* x x) x) (* (* y y) y)) (* (* (/ 1 (+ y 1.0)) (/ 1 (+ y 1.0))) (/ 1 (+ y 1.0)))) (* (* (* (* x y) (* x y)) (* x y)) (/ (* (* 1 1) 1) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0)))) (* (* (* (* x y) (* x y)) (* x y)) (* (* (/ 1 (+ y 1.0)) (/ 1 (+ y 1.0))) (/ 1 (+ y 1.0)))) (* (cbrt (* (* x y) (/ 1 (+ y 1.0)))) (cbrt (* (* x y) (/ 1 (+ y 1.0))))) (cbrt (* (* x y) (/ 1 (+ y 1.0)))) (* (* (* (* x y) (/ 1 (+ y 1.0))) (* (* x y) (/ 1 (+ y 1.0)))) (* (* x y) (/ 1 (+ y 1.0)))) (sqrt (* (* x y) (/ 1 (+ y 1.0)))) (sqrt (* (* x y) (/ 1 (+ y 1.0)))) (* (* x y) (* (cbrt (/ 1 (+ y 1.0))) (cbrt (/ 1 (+ y 1.0))))) (* (* x y) (sqrt (/ 1 (+ y 1.0)))) (* (* x y) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* (* x y) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y 1.0)))) (* (* x y) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (* x y) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (* x y) (/ (sqrt 1) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* (* x y) (/ (sqrt 1) (sqrt (+ y 1.0)))) (* (* x y) (/ (sqrt 1) 1)) (* (* x y) (/ (sqrt 1) 1)) (* (* x y) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* (* x y) (/ 1 (sqrt (+ y 1.0)))) (* (* x y) (/ 1 1)) (* (* x y) (/ 1 1)) (* (* x y) 1) (* (* x y) 1) (* (* x y) (/ 1 (+ (pow y 3) (pow 1.0 3)))) (* (* x y) (/ 1 (- (* y y) (* 1.0 1.0)))) (* y (/ 1 (+ y 1.0))) (* (* x y) 1) (expm1 (/ 1 (+ y 1.0))) (log1p (/ 1 (+ y 1.0))) (- 1) (- (log (+ y 1.0))) (- 0 (log (+ y 1.0))) (- (log 1) (log (+ y 1.0))) (log (/ 1 (+ y 1.0))) (exp (/ 1 (+ y 1.0))) (/ (* (* 1 1) 1) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0))) (* (cbrt (/ 1 (+ y 1.0))) (cbrt (/ 1 (+ y 1.0)))) (cbrt (/ 1 (+ y 1.0))) (* (* (/ 1 (+ y 1.0)) (/ 1 (+ y 1.0))) (/ 1 (+ y 1.0))) (sqrt (/ 1 (+ y 1.0))) (sqrt (/ 1 (+ y 1.0))) (- 1) (- (+ y 1.0)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt 1) (cbrt (+ y 1.0))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y 1.0))) (/ (cbrt 1) (sqrt (+ y 1.0))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y 1.0)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y 1.0)) (/ (sqrt 1) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt 1) (cbrt (+ y 1.0))) (/ (sqrt 1) (sqrt (+ y 1.0))) (/ (sqrt 1) (sqrt (+ y 1.0))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y 1.0)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ 1 1) (/ 1 (+ y 1.0)) (/ 1 1) (/ 1 (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) 1) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (sqrt (+ y 1.0))) (/ 1 1) (/ 1 1) (/ (+ y 1.0) (cbrt 1)) (/ (+ y 1.0) (sqrt 1)) (/ (+ y 1.0) 1) (/ 1 (+ (pow y 3) (pow 1.0 3))) (/ 1 (- (* y y) (* 1.0 1.0))) (- (+ (* 1.0 (* x y)) (* 1.0 (* x (pow y 3)))) (* 1.0 (* x (pow y 2)))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) (- (+ (* 1.0 (pow y 2)) 1.0) (* 1.0 y)) (- (+ (/ 1 y) (* 1.0 (/ 1 (pow y 3)))) (* 1.0 (/ 1 (pow y 2)))) (- (+ (/ 1 y) (* 1.0 (/ 1 (pow y 3)))) (* 1.0 (/ 1 (pow y 2)))) 1.079 * * [simplify]: iteration 0 : 377 enodes (cost 459 ) 1.089 * * [simplify]: iteration 1 : 1900 enodes (cost 380 ) 1.128 * * [simplify]: iteration 2 : 5001 enodes (cost 339 ) 1.131 * [simplify]: Simplified to: (expm1 (* (* x y) (/ 1 (+ y 1.0)))) (log1p (* (* x y) (/ 1 (+ y 1.0)))) (/ (* x y) (+ y 1.0)) (/ (* x y) (+ y 1.0)) (- (log (* x y)) (log (+ y 1.0))) (- (log (* x y)) (log (+ y 1.0))) (- (log (* x y)) (log (+ y 1.0))) (- (log (* x y)) (log (+ y 1.0))) (- (log (* x y)) (log (+ y 1.0))) (- (log (* x y)) (log (+ y 1.0))) (- (log (* x y)) (log (+ y 1.0))) (- (log (* x y)) (log (+ y 1.0))) (- (log (* x y)) (log (+ y 1.0))) (pow (exp (/ y (+ y 1.0))) x) (pow (/ (* x y) (+ y 1.0)) 3) (pow (/ (* x y) (+ y 1.0)) 3) (pow (/ (* x y) (+ y 1.0)) 3) (pow (/ (* x y) (+ y 1.0)) 3) (* (cbrt (* (* x y) (/ 1 (+ y 1.0)))) (cbrt (* (* x y) (/ 1 (+ y 1.0))))) (cbrt (* (* x y) (/ 1 (+ y 1.0)))) (pow (/ (* x y) (+ y 1.0)) 3) (sqrt (* (* x y) (/ 1 (+ y 1.0)))) (sqrt (* (* x y) (/ 1 (+ y 1.0)))) (* (* x y) (* (cbrt (/ 1 (+ y 1.0))) (cbrt (/ 1 (+ y 1.0))))) (* (* x y) (sqrt (/ 1 (+ y 1.0)))) (/ (* x y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (* x y) (sqrt (+ y 1.0))) (* x y) (* x y) (/ (* x y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (* x y) (sqrt (+ y 1.0))) (* x y) (* x y) (/ (* x y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (* x y) (sqrt (+ y 1.0))) (* x y) (* x y) (* x y) (* x y) (/ (* x y) (+ (pow y 3) (pow 1.0 3))) (/ (* x y) (- (* y y) (* 1.0 1.0))) (/ y (+ y 1.0)) (* x y) (expm1 (/ 1 (+ y 1.0))) (log1p (/ 1 (+ y 1.0))) (- 1) (log (/ 1 (+ y 1.0))) (log (/ 1 (+ y 1.0))) (log (/ 1 (+ y 1.0))) (log (/ 1 (+ y 1.0))) (exp (/ 1 (+ y 1.0))) (/ 1 (pow (+ y 1.0) 3)) (* (cbrt (/ 1 (+ y 1.0))) (cbrt (/ 1 (+ y 1.0)))) (cbrt (/ 1 (+ y 1.0))) (/ 1 (pow (+ y 1.0) 3)) (sqrt (/ 1 (+ y 1.0))) (sqrt (/ 1 (+ y 1.0))) (- 1) (- (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) 1 (/ 1 (+ y 1.0)) 1 (/ 1 (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) 1 (/ 1 (+ y 1.0)) 1 (/ 1 (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) 1 (/ 1 (+ y 1.0)) 1 (/ 1 (+ y 1.0)) (/ 1 (+ y 1.0)) (+ y 1.0) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (sqrt (+ y 1.0))) 1 1 (+ y 1.0) (+ y 1.0) (+ y 1.0) (/ 1 (+ (pow y 3) (pow 1.0 3))) (/ 1 (- (* y y) (* 1.0 1.0))) (* (* 1.0 x) (+ y (- (pow y 3) (pow y 2)))) (fma 1.0 (- (/ x (pow y 2)) (/ x y)) x) (fma 1.0 (- (/ x (pow y 2)) (/ x y)) x) (* 1.0 (- (fma y y 1) y)) (fma 1.0 (- (/ 1 (pow y 3)) (/ 1 (pow y 2))) (/ 1 y)) (fma 1.0 (- (/ 1 (pow y 3)) (/ 1 (pow y 2))) (/ 1 y)) 1.131 * * * [progress]: adding candidates to table 1.267 * [progress]: [Phase 3 of 3] Extracting. 1.267 * * [regime]: Finding splitpoints for: (# #) 1.267 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.267 * * * * [regimes]: Trying to branch on y from (# #) 1.278 * * * * [regimes]: Trying to branch on x from (# #) 1.293 * * * [regime]: Found split indices: #