18.127 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (/ (* x y) (+ y 1.0)) 0.018 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.021 * * [simplify]: iteration 1 : 14 enodes (cost 3 ) 0.023 * * [simplify]: iteration 2 : 17 enodes (cost 3 ) 0.026 * * [simplify]: iteration 3 : 18 enodes (cost 3 ) 0.028 * * [simplify]: iteration 4 : 18 enodes (cost 3 ) 0.028 * [simplify]: Simplified to: (/ (* x y) (+ y 1.0)) 0.028 * * [progress]: iteration 1 / 4 0.028 * * * [progress]: picking best candidate 0.030 * * * * [pick]: Picked # 0.030 * * * [progress]: localizing error 0.035 * * * [progress]: generating rewritten candidates 0.035 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.042 * * * [progress]: generating series expansions 0.043 * * * * [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 0.045 * [taylor]: Taking taylor expansion of (* x y) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.045 * [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 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 0.055 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.055 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.055 * [taylor]: Taking taylor expansion of x in y 0.055 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.055 * [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 0.056 * [taylor]: Taking taylor expansion of 1.0 in y 0.056 * [taylor]: Taking taylor expansion of y in y 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 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.059 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of 1.0 in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 0.061 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 0.061 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.061 * [taylor]: Taking taylor expansion of 1.0 in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of 1 in y 0.064 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (x y) around 0 0.073 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.073 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.074 * [taylor]: Taking taylor expansion of x in y 0.074 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.074 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.074 * [taylor]: Taking taylor expansion of 1.0 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 y in y 0.081 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.081 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.081 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.082 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.082 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.082 * [taylor]: Taking taylor expansion of 1.0 in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.082 * [taylor]: Taking taylor expansion of y in x 0.082 * [taylor]: Taking taylor expansion of y in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 0.084 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 0.084 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.084 * [taylor]: Taking taylor expansion of 1.0 in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.084 * [taylor]: Taking taylor expansion of 1 in y 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.097 * * * [progress]: simplifying candidates 0.098 * [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))) 0.103 * * [simplify]: iteration 0 : 200 enodes (cost 154 ) 0.110 * * [simplify]: iteration 1 : 910 enodes (cost 129 ) 0.134 * * [simplify]: iteration 2 : 4740 enodes (cost 126 ) 0.250 * * [simplify]: iteration 3 : 5001 enodes (cost 124 ) 0.252 * [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) 0.252 * * * [progress]: adding candidates to table 0.306 * * [progress]: iteration 2 / 4 0.306 * * * [progress]: picking best candidate 0.309 * * * * [pick]: Picked # 0.309 * * * [progress]: localizing error 0.314 * * * [progress]: generating rewritten candidates 0.314 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.324 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.331 * * * [progress]: generating series expansions 0.332 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.332 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 0.332 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 0.332 * [taylor]: Taking taylor expansion of (* x y) in y 0.332 * [taylor]: Taking taylor expansion of x in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of 1.0 in y 0.333 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.333 * [taylor]: Taking taylor expansion of (* x y) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of y in x 0.333 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.333 * [taylor]: Taking taylor expansion of y in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.334 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.334 * [taylor]: Taking taylor expansion of (* x y) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of y in x 0.334 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.334 * [taylor]: Taking taylor expansion of y in x 0.334 * [taylor]: Taking taylor expansion of 1.0 in x 0.334 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.334 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.334 * [taylor]: Taking taylor expansion of 1.0 in y 0.336 * [taylor]: Taking taylor expansion of 0 in y 0.340 * [taylor]: Taking taylor expansion of 0 in y 0.344 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 0.344 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.344 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.344 * [taylor]: Taking taylor expansion of x in y 0.344 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.344 * [taylor]: Taking taylor expansion of 1.0 in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.346 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.347 * [taylor]: Taking taylor expansion of y in x 0.347 * [taylor]: Taking taylor expansion of 1.0 in x 0.347 * [taylor]: Taking taylor expansion of y in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.348 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.348 * [taylor]: Taking taylor expansion of y in x 0.348 * [taylor]: Taking taylor expansion of 1.0 in x 0.348 * [taylor]: Taking taylor expansion of y in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 0.349 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 0.349 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.349 * [taylor]: Taking taylor expansion of 1.0 in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of 1 in y 0.351 * [taylor]: Taking taylor expansion of 0 in y 0.356 * [taylor]: Taking taylor expansion of 0 in y 0.361 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (x y) around 0 0.361 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.361 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.361 * [taylor]: Taking taylor expansion of x in y 0.361 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.361 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.361 * [taylor]: Taking taylor expansion of 1.0 in y 0.361 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.361 * [taylor]: Taking taylor expansion of y in y 0.361 * [taylor]: Taking taylor expansion of y in y 0.364 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.364 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.364 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.364 * [taylor]: Taking taylor expansion of 1.0 in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.365 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.365 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.365 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.365 * [taylor]: Taking taylor expansion of 1.0 in x 0.365 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.365 * [taylor]: Taking taylor expansion of y in x 0.365 * [taylor]: Taking taylor expansion of y in x 0.367 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 0.367 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 0.367 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.367 * [taylor]: Taking taylor expansion of 1.0 in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.367 * [taylor]: Taking taylor expansion of 1 in y 0.369 * [taylor]: Taking taylor expansion of 0 in y 0.375 * [taylor]: Taking taylor expansion of 0 in y 0.380 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.380 * [approximate]: Taking taylor expansion of (/ y (+ y 1.0)) in (y) around 0 0.380 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of 1.0 in y 0.381 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.381 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.381 * [taylor]: Taking taylor expansion of 1.0 in y 0.388 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in (y) around 0 0.388 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in y 0.388 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.388 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.388 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.388 * [taylor]: Taking taylor expansion of y in y 0.388 * [taylor]: Taking taylor expansion of 1.0 in y 0.388 * [taylor]: Taking taylor expansion of y in y 0.390 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in y 0.390 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.390 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.390 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.390 * [taylor]: Taking taylor expansion of y in y 0.390 * [taylor]: Taking taylor expansion of 1.0 in y 0.390 * [taylor]: Taking taylor expansion of y in y 0.405 * [approximate]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 y)) y)) in (y) around 0 0.405 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 y)) y)) in y 0.405 * [taylor]: Taking taylor expansion of -1 in y 0.405 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.405 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.405 * [taylor]: Taking taylor expansion of 1.0 in y 0.405 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.405 * [taylor]: Taking taylor expansion of y in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.408 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 y)) y)) in y 0.408 * [taylor]: Taking taylor expansion of -1 in y 0.408 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.408 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.408 * [taylor]: Taking taylor expansion of 1.0 in y 0.408 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.408 * [taylor]: Taking taylor expansion of y in y 0.409 * [taylor]: Taking taylor expansion of y in y 0.421 * * * [progress]: simplifying candidates 0.422 * [simplify]: Simplifying using # : (expm1 (* x (/ y (+ y 1.0)))) (log1p (* x (/ y (+ y 1.0)))) (* x (/ y (+ y 1.0))) (+ (log x) (- (log y) (log (+ y 1.0)))) (+ (log x) (log (/ y (+ 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 x) x) (* (* (/ y (+ y 1.0)) (/ y (+ y 1.0))) (/ y (+ 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)))) (* (sqrt x) (sqrt (/ y (+ y 1.0)))) (* (sqrt x) (sqrt (/ y (+ y 1.0)))) (* (sqrt x) (/ (sqrt y) (sqrt (+ y 1.0)))) (* (sqrt x) (/ (sqrt y) (sqrt (+ y 1.0)))) (* x (* (cbrt (/ y (+ y 1.0))) (cbrt (/ y (+ y 1.0))))) (* x (sqrt (/ y (+ y 1.0)))) (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* x (/ (* (cbrt y) (cbrt y)) (sqrt (+ y 1.0)))) (* x (/ (* (cbrt y) (cbrt y)) 1)) (* x (/ (* (cbrt y) (cbrt y)) 1)) (* x (/ (sqrt y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* x (/ (sqrt y) (sqrt (+ y 1.0)))) (* x (/ (sqrt y) 1)) (* x (/ (sqrt y) 1)) (* x (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* x (/ 1 (sqrt (+ y 1.0)))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x y) (* x (/ y (+ (pow y 3) (pow 1.0 3)))) (* x (/ y (- (* y y) (* 1.0 1.0)))) (* (cbrt x) (/ y (+ y 1.0))) (* (sqrt x) (/ y (+ y 1.0))) (* x (/ y (+ y 1.0))) (* x y) (expm1 (/ y (+ y 1.0))) (log1p (/ y (+ y 1.0))) (- (log y) (log (+ y 1.0))) (log (/ y (+ y 1.0))) (exp (/ y (+ y 1.0))) (/ (* (* y y) y) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0))) (* (cbrt (/ y (+ y 1.0))) (cbrt (/ y (+ y 1.0)))) (cbrt (/ y (+ y 1.0))) (* (* (/ y (+ y 1.0)) (/ y (+ y 1.0))) (/ y (+ y 1.0))) (sqrt (/ y (+ y 1.0))) (sqrt (/ y (+ y 1.0))) (- y) (- (+ y 1.0)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt y) (cbrt (+ y 1.0))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ y 1.0))) (/ (cbrt y) (sqrt (+ y 1.0))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (+ y 1.0)) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (+ y 1.0)) (/ (sqrt y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt y) (cbrt (+ y 1.0))) (/ (sqrt y) (sqrt (+ y 1.0))) (/ (sqrt y) (sqrt (+ y 1.0))) (/ (sqrt y) 1) (/ (sqrt y) (+ y 1.0)) (/ (sqrt y) 1) (/ (sqrt y) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))) (/ 1 1) (/ y (+ y 1.0)) (/ 1 1) (/ y (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) y) (/ y (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (sqrt (+ y 1.0))) (/ y 1) (/ y 1) (/ (+ y 1.0) (cbrt y)) (/ (+ y 1.0) (sqrt y)) (/ (+ y 1.0) y) (/ y (+ (pow y 3) (pow 1.0 3))) (/ 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))) (- (+ (* 1.0 (pow y 3)) (* 1.0 y)) (* 1.0 (pow y 2))) (- (+ (* 1.0 (/ 1 (pow y 2))) 1) (* 1.0 (/ 1 y))) (- (+ (* 1.0 (/ 1 (pow y 2))) 1) (* 1.0 (/ 1 y))) 0.428 * * [simplify]: iteration 0 : 305 enodes (cost 392 ) 0.438 * * [simplify]: iteration 1 : 1398 enodes (cost 354 ) 0.474 * * [simplify]: iteration 2 : 5001 enodes (cost 349 ) 0.478 * [simplify]: Simplified to: (expm1 (* x (/ y (+ y 1.0)))) (log1p (* x (/ y (+ y 1.0)))) (* 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)))) (* (sqrt x) (sqrt (/ y (+ y 1.0)))) (* (sqrt x) (sqrt (/ y (+ y 1.0)))) (* (sqrt x) (/ (sqrt y) (sqrt (+ y 1.0)))) (* (sqrt x) (/ (sqrt y) (sqrt (+ y 1.0)))) (* x (* (cbrt (/ y (+ y 1.0))) (cbrt (/ y (+ y 1.0))))) (* x (sqrt (/ y (+ y 1.0)))) (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* x (/ (* (cbrt y) (cbrt y)) (sqrt (+ y 1.0)))) (* (* (cbrt y) (cbrt y)) x) (* (* (cbrt y) (cbrt y)) x) (* x (/ (sqrt y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* x (/ (sqrt y) (sqrt (+ y 1.0)))) (* (sqrt y) x) (* (sqrt y) x) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ x (sqrt (+ y 1.0))) x x x (* x y) (* x (/ y (+ (pow y 3) (pow 1.0 3)))) (* x (/ y (- (* y y) (* 1.0 1.0)))) (* (cbrt x) (/ y (+ y 1.0))) (* (sqrt x) (/ y (+ y 1.0))) (* x (/ y (+ y 1.0))) (* x y) (expm1 (/ y (+ y 1.0))) (log1p (/ y (+ y 1.0))) (log (/ y (+ y 1.0))) (log (/ y (+ y 1.0))) (exp (/ y (+ y 1.0))) (pow (/ y (+ y 1.0)) 3) (* (cbrt (/ y (+ y 1.0))) (cbrt (/ y (+ y 1.0)))) (cbrt (/ y (+ y 1.0))) (pow (/ y (+ y 1.0)) 3) (sqrt (/ y (+ y 1.0))) (sqrt (/ y (+ y 1.0))) (- y) (- (+ y 1.0)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt y) (cbrt (+ y 1.0))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ y 1.0))) (/ (cbrt y) (sqrt (+ y 1.0))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ y 1.0)) (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ y 1.0)) (/ (sqrt y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt y) (cbrt (+ y 1.0))) (/ (sqrt y) (sqrt (+ y 1.0))) (/ (sqrt y) (sqrt (+ y 1.0))) (sqrt y) (/ (sqrt y) (+ y 1.0)) (sqrt y) (/ (sqrt y) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))) 1 (/ y (+ y 1.0)) 1 (/ y (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) y) (/ y (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (sqrt (+ y 1.0))) y y (/ (+ y 1.0) (cbrt y)) (/ (+ y 1.0) (sqrt y)) (/ (+ y 1.0) y) (/ y (+ (pow y 3) (pow 1.0 3))) (/ y (- (* 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 (- (+ (pow y 3) y) (pow y 2))) (- 1 (- (/ 1.0 y) (/ (/ 1.0 y) y))) (- 1 (- (/ 1.0 y) (/ (/ 1.0 y) y))) 0.479 * * * [progress]: adding candidates to table 0.595 * * [progress]: iteration 3 / 4 0.595 * * * [progress]: picking best candidate 0.596 * * * * [pick]: Picked # 0.596 * * * [progress]: localizing error 0.604 * * * [progress]: generating rewritten candidates 0.604 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.612 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.623 * * * [progress]: generating series expansions 0.623 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.624 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 0.624 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 0.624 * [taylor]: Taking taylor expansion of (* x y) in y 0.624 * [taylor]: Taking taylor expansion of x in y 0.624 * [taylor]: Taking taylor expansion of y in y 0.624 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.624 * [taylor]: Taking taylor expansion of y in y 0.624 * [taylor]: Taking taylor expansion of 1.0 in y 0.625 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.625 * [taylor]: Taking taylor expansion of (* x y) in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.625 * [taylor]: Taking taylor expansion of y in x 0.625 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.625 * [taylor]: Taking taylor expansion of y in x 0.625 * [taylor]: Taking taylor expansion of 1.0 in x 0.625 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.626 * [taylor]: Taking taylor expansion of (* x y) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of y in x 0.626 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.626 * [taylor]: Taking taylor expansion of y in x 0.626 * [taylor]: Taking taylor expansion of 1.0 in x 0.626 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.626 * [taylor]: Taking taylor expansion of y in y 0.626 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.626 * [taylor]: Taking taylor expansion of y in y 0.626 * [taylor]: Taking taylor expansion of 1.0 in y 0.628 * [taylor]: Taking taylor expansion of 0 in y 0.632 * [taylor]: Taking taylor expansion of 0 in y 0.636 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 0.636 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.636 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.636 * [taylor]: Taking taylor expansion of x in y 0.636 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.636 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.636 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.636 * [taylor]: Taking taylor expansion of y in y 0.636 * [taylor]: Taking taylor expansion of 1.0 in y 0.636 * [taylor]: Taking taylor expansion of y in y 0.638 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.639 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.639 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.639 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.639 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.639 * [taylor]: Taking taylor expansion of y in x 0.639 * [taylor]: Taking taylor expansion of 1.0 in x 0.639 * [taylor]: Taking taylor expansion of y in x 0.640 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.640 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.640 * [taylor]: Taking taylor expansion of x in x 0.640 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.640 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.640 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.640 * [taylor]: Taking taylor expansion of y in x 0.640 * [taylor]: Taking taylor expansion of 1.0 in x 0.640 * [taylor]: Taking taylor expansion of y in x 0.641 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 0.641 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 0.641 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.641 * [taylor]: Taking taylor expansion of 1.0 in y 0.641 * [taylor]: Taking taylor expansion of y in y 0.641 * [taylor]: Taking taylor expansion of 1 in y 0.643 * [taylor]: Taking taylor expansion of 0 in y 0.648 * [taylor]: Taking taylor expansion of 0 in y 0.652 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (x y) around 0 0.652 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.653 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.653 * [taylor]: Taking taylor expansion of x in y 0.653 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.653 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.653 * [taylor]: Taking taylor expansion of 1.0 in y 0.653 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.653 * [taylor]: Taking taylor expansion of y in y 0.653 * [taylor]: Taking taylor expansion of y in y 0.656 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.656 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.656 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.656 * [taylor]: Taking taylor expansion of 1.0 in x 0.656 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.656 * [taylor]: Taking taylor expansion of y in x 0.656 * [taylor]: Taking taylor expansion of y in x 0.657 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.657 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.657 * [taylor]: Taking taylor expansion of x in x 0.657 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.657 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.657 * [taylor]: Taking taylor expansion of 1.0 in x 0.657 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.657 * [taylor]: Taking taylor expansion of y in x 0.657 * [taylor]: Taking taylor expansion of y in x 0.658 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 0.658 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 0.659 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.659 * [taylor]: Taking taylor expansion of 1.0 in y 0.659 * [taylor]: Taking taylor expansion of y in y 0.659 * [taylor]: Taking taylor expansion of 1 in y 0.661 * [taylor]: Taking taylor expansion of 0 in y 0.667 * [taylor]: Taking taylor expansion of 0 in y 0.672 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.672 * [approximate]: Taking taylor expansion of (/ (+ y 1.0) y) in (y) around 0 0.672 * [taylor]: Taking taylor expansion of (/ (+ y 1.0) y) in y 0.672 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.672 * [taylor]: Taking taylor expansion of y in y 0.672 * [taylor]: Taking taylor expansion of 1.0 in y 0.672 * [taylor]: Taking taylor expansion of y in y 0.673 * [taylor]: Taking taylor expansion of (/ (+ y 1.0) y) in y 0.673 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.673 * [taylor]: Taking taylor expansion of y in y 0.673 * [taylor]: Taking taylor expansion of 1.0 in y 0.673 * [taylor]: Taking taylor expansion of y in y 0.680 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in (y) around 0 0.680 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.680 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.680 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.680 * [taylor]: Taking taylor expansion of y in y 0.680 * [taylor]: Taking taylor expansion of 1.0 in y 0.681 * [taylor]: Taking taylor expansion of y in y 0.681 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.681 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.681 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.681 * [taylor]: Taking taylor expansion of y in y 0.681 * [taylor]: Taking taylor expansion of 1.0 in y 0.681 * [taylor]: Taking taylor expansion of y in y 0.700 * [approximate]: Taking taylor expansion of (* -1 (* y (- 1.0 (/ 1 y)))) in (y) around 0 0.701 * [taylor]: Taking taylor expansion of (* -1 (* y (- 1.0 (/ 1 y)))) in y 0.701 * [taylor]: Taking taylor expansion of -1 in y 0.701 * [taylor]: Taking taylor expansion of (* y (- 1.0 (/ 1 y))) in y 0.701 * [taylor]: Taking taylor expansion of y in y 0.701 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.701 * [taylor]: Taking taylor expansion of 1.0 in y 0.701 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.701 * [taylor]: Taking taylor expansion of y in y 0.701 * [taylor]: Taking taylor expansion of (* -1 (* y (- 1.0 (/ 1 y)))) in y 0.701 * [taylor]: Taking taylor expansion of -1 in y 0.701 * [taylor]: Taking taylor expansion of (* y (- 1.0 (/ 1 y))) in y 0.701 * [taylor]: Taking taylor expansion of y in y 0.701 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.701 * [taylor]: Taking taylor expansion of 1.0 in y 0.701 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.701 * [taylor]: Taking taylor expansion of y in y 0.727 * * * [progress]: simplifying candidates 0.729 * [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) 0.739 * * [simplify]: iteration 0 : 434 enodes (cost 830 ) 0.750 * * [simplify]: iteration 1 : 1898 enodes (cost 791 ) 0.790 * * [simplify]: iteration 2 : 5002 enodes (cost 787 ) 0.796 * [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 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(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) 0.797 * * * [progress]: adding candidates to table 0.993 * [progress]: [Phase 3 of 3] Extracting. 0.993 * * [regime]: Finding splitpoints for: (# #) 0.993 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.993 * * * * [regimes]: Trying to branch on y from (# #) 1.004 * * * * [regimes]: Trying to branch on x from (# #) 1.016 * * * [regime]: Found split indices: #