13.081 * [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. 0.014 * [simplify]: Simplifying using # : (/ (* x y) (+ y 1.0)) 0.017 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.020 * * [simplify]: iteration 1 : 14 enodes (cost 3 ) 0.023 * * [simplify]: iteration 2 : 17 enodes (cost 3 ) 0.025 * * [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)) 0.029 * * [progress]: iteration 1 / 4 0.029 * * * [progress]: picking best candidate 0.030 * * * * [pick]: Picked # 0.030 * * * [progress]: localizing error 0.036 * * * [progress]: generating rewritten candidates 0.036 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.043 * * * [progress]: generating series expansions 0.043 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.044 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 0.044 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 0.044 * [taylor]: Taking taylor expansion of (* x y) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of 1.0 in y 0.045 * [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 0.046 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.046 * [taylor]: Taking taylor expansion of (* x y) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of 1.0 in x 0.046 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of 1.0 in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 0.056 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.056 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.056 * [taylor]: Taking taylor expansion of x in y 0.056 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of 1.0 in y 0.057 * [taylor]: Taking taylor expansion of y in y 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 0.060 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.060 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of 1.0 in x 0.060 * [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 0.073 * [taylor]: Taking taylor expansion of x in y 0.073 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.073 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.073 * [taylor]: Taking taylor expansion of 1.0 in y 0.073 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of y in y 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 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.078 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.078 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.078 * [taylor]: Taking taylor expansion of 1.0 in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 0.079 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 0.079 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.079 * [taylor]: Taking taylor expansion of 1.0 in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of 1 in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.094 * * * [progress]: simplifying candidates 0.095 * [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))) 0.100 * * [simplify]: iteration 0 : 200 enodes (cost 154 ) 0.107 * * [simplify]: iteration 1 : 910 enodes (cost 129 ) 0.133 * * [simplify]: iteration 2 : 4740 enodes (cost 126 ) 0.246 * * [simplify]: iteration 3 : 5001 enodes (cost 124 ) 0.251 * [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) 0.251 * * * [progress]: adding candidates to table 0.310 * * [progress]: iteration 2 / 4 0.310 * * * [progress]: picking best candidate 0.315 * * * * [pick]: Picked # 0.315 * * * [progress]: localizing error 0.320 * * * [progress]: generating rewritten candidates 0.320 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.326 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.338 * * * [progress]: generating series expansions 0.339 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.339 * [approximate]: Taking taylor expansion of (/ y (+ y 1.0)) in (y) around 0 0.339 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.339 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.339 * [taylor]: Taking taylor expansion of 1.0 in y 0.340 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of 1.0 in y 0.347 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in (y) around 0 0.347 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in y 0.347 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.347 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.347 * [taylor]: Taking taylor expansion of y in y 0.347 * [taylor]: Taking taylor expansion of 1.0 in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in y 0.350 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.350 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.350 * [taylor]: Taking taylor expansion of 1.0 in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.361 * [approximate]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 y)) y)) in (y) around 0 0.361 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 y)) y)) in y 0.361 * [taylor]: Taking taylor expansion of -1 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 0.363 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 y)) y)) in y 0.364 * [taylor]: Taking taylor expansion of -1 in y 0.364 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.364 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.364 * [taylor]: Taking taylor expansion of 1.0 in y 0.364 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.364 * [taylor]: Taking taylor expansion of y in y 0.364 * [taylor]: Taking taylor expansion of y in y 0.376 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.376 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 0.376 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 0.376 * [taylor]: Taking taylor expansion of (* x y) in y 0.376 * [taylor]: Taking taylor expansion of x in y 0.376 * [taylor]: Taking taylor expansion of y in y 0.376 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.376 * [taylor]: Taking taylor expansion of y in y 0.376 * [taylor]: Taking taylor expansion of 1.0 in y 0.377 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.377 * [taylor]: Taking taylor expansion of (* x y) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of y in x 0.377 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.377 * [taylor]: Taking taylor expansion of y in x 0.377 * [taylor]: Taking taylor expansion of 1.0 in x 0.377 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.378 * [taylor]: Taking taylor expansion of (* x y) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of y in x 0.378 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.378 * [taylor]: Taking taylor expansion of y in x 0.378 * [taylor]: Taking taylor expansion of 1.0 in x 0.378 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.378 * [taylor]: Taking taylor expansion of y in y 0.378 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.378 * [taylor]: Taking taylor expansion of y in y 0.378 * [taylor]: Taking taylor expansion of 1.0 in y 0.380 * [taylor]: Taking taylor expansion of 0 in y 0.383 * [taylor]: Taking taylor expansion of 0 in y 0.387 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 0.387 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.387 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.387 * [taylor]: Taking taylor expansion of x in y 0.387 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.387 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.387 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.387 * [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 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.390 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.390 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.390 * [taylor]: Taking taylor expansion of y in x 0.390 * [taylor]: Taking taylor expansion of 1.0 in x 0.390 * [taylor]: Taking taylor expansion of y in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.394 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.394 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.395 * [taylor]: Taking taylor expansion of y in x 0.395 * [taylor]: Taking taylor expansion of 1.0 in x 0.395 * [taylor]: Taking taylor expansion of y in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 0.396 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 0.396 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.396 * [taylor]: Taking taylor expansion of 1.0 in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.396 * [taylor]: Taking taylor expansion of 1 in y 0.399 * [taylor]: Taking taylor expansion of 0 in y 0.404 * [taylor]: Taking taylor expansion of 0 in y 0.408 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (x y) around 0 0.408 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.408 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.408 * [taylor]: Taking taylor expansion of x 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 0.408 * [taylor]: Taking taylor expansion of y in y 0.411 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.411 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.411 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.411 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.411 * [taylor]: Taking taylor expansion of 1.0 in x 0.411 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.411 * [taylor]: Taking taylor expansion of y in x 0.411 * [taylor]: Taking taylor expansion of y in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.412 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.413 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.413 * [taylor]: Taking taylor expansion of 1.0 in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.413 * [taylor]: Taking taylor expansion of y in x 0.413 * [taylor]: Taking taylor expansion of y in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 0.414 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 0.414 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.414 * [taylor]: Taking taylor expansion of 1.0 in y 0.414 * [taylor]: Taking taylor expansion of y in y 0.414 * [taylor]: Taking taylor expansion of 1 in y 0.417 * [taylor]: Taking taylor expansion of 0 in y 0.423 * [taylor]: Taking taylor expansion of 0 in y 0.427 * * * [progress]: simplifying candidates 0.429 * [simplify]: Simplifying using # : (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))) (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) (- (+ (* 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))) (- (+ (* 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))) 0.435 * * [simplify]: iteration 0 : 305 enodes (cost 392 ) 0.444 * * [simplify]: iteration 1 : 1398 enodes (cost 354 ) 0.481 * * [simplify]: iteration 2 : 5002 enodes (cost 349 ) 0.484 * [simplify]: Simplified to: (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))) (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) (* 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))) (* (* 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) 0.484 * * * [progress]: adding candidates to table 0.640 * * [progress]: iteration 3 / 4 0.640 * * * [progress]: picking best candidate 0.644 * * * * [pick]: Picked # 0.644 * * * [progress]: localizing error 0.650 * * * [progress]: generating rewritten candidates 0.650 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.659 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.671 * * * [progress]: generating series expansions 0.671 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.671 * [approximate]: Taking taylor expansion of (/ (+ y 1.0) (* x y)) in (y x) around 0 0.671 * [taylor]: Taking taylor expansion of (/ (+ y 1.0) (* x y)) in x 0.671 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.671 * [taylor]: Taking taylor expansion of y in x 0.671 * [taylor]: Taking taylor expansion of 1.0 in x 0.671 * [taylor]: Taking taylor expansion of (* x y) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.671 * [taylor]: Taking taylor expansion of y in x 0.672 * [taylor]: Taking taylor expansion of (/ (+ y 1.0) (* x 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 (* x y) in y 0.672 * [taylor]: Taking taylor expansion of x in y 0.672 * [taylor]: Taking taylor expansion of y in y 0.673 * [taylor]: Taking taylor expansion of (/ (+ y 1.0) (* x 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 (* x y) in y 0.673 * [taylor]: Taking taylor expansion of x in y 0.673 * [taylor]: Taking taylor expansion of y in y 0.674 * [taylor]: Taking taylor expansion of (/ 1.0 x) in x 0.674 * [taylor]: Taking taylor expansion of 1.0 in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.675 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.675 * [taylor]: Taking taylor expansion of x in x 0.677 * [taylor]: Taking taylor expansion of 0 in x 0.679 * [taylor]: Taking taylor expansion of 0 in x 0.680 * [approximate]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in (y x) around 0 0.680 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.681 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.681 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.681 * [taylor]: Taking taylor expansion of y in x 0.681 * [taylor]: Taking taylor expansion of 1.0 in x 0.681 * [taylor]: Taking taylor expansion of y in x 0.681 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.681 * [taylor]: Taking taylor expansion of x 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 0.681 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.681 * [taylor]: Taking taylor expansion of x 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 0.682 * [taylor]: Taking taylor expansion of 1.0 in y 0.682 * [taylor]: Taking taylor expansion of y in y 0.682 * [taylor]: Taking taylor expansion of 0 in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.687 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.687 * [taylor]: Taking taylor expansion of 1.0 in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.689 * [taylor]: Taking taylor expansion of 0 in x 0.693 * [taylor]: Taking taylor expansion of 0 in x 0.694 * [approximate]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in (y x) around 0 0.694 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.694 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.694 * [taylor]: Taking taylor expansion of 1.0 in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.694 * [taylor]: Taking taylor expansion of y in x 0.694 * [taylor]: Taking taylor expansion of y in x 0.694 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.694 * [taylor]: Taking taylor expansion of x in y 0.694 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.694 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.694 * [taylor]: Taking taylor expansion of 1.0 in y 0.694 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.694 * [taylor]: Taking taylor expansion of y in y 0.695 * [taylor]: Taking taylor expansion of y in y 0.695 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.695 * [taylor]: Taking taylor expansion of x in y 0.695 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.695 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.695 * [taylor]: Taking taylor expansion of 1.0 in y 0.695 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.695 * [taylor]: Taking taylor expansion of y in y 0.695 * [taylor]: Taking taylor expansion of y in y 0.696 * [taylor]: Taking taylor expansion of 0 in x 0.698 * [taylor]: Taking taylor expansion of (- x) in x 0.698 * [taylor]: Taking taylor expansion of x in x 0.701 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.701 * [taylor]: Taking taylor expansion of 1.0 in x 0.702 * [taylor]: Taking taylor expansion of x in x 0.705 * [taylor]: Taking taylor expansion of 0 in x 0.709 * [taylor]: Taking taylor expansion of 0 in x 0.710 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.710 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (y x) around 0 0.710 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.710 * [taylor]: Taking taylor expansion of (* x y) in x 0.710 * [taylor]: Taking taylor expansion of x in x 0.710 * [taylor]: Taking taylor expansion of y in x 0.710 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.710 * [taylor]: Taking taylor expansion of y in x 0.710 * [taylor]: Taking taylor expansion of 1.0 in x 0.711 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 0.711 * [taylor]: Taking taylor expansion of (* x y) in y 0.711 * [taylor]: Taking taylor expansion of x in y 0.711 * [taylor]: Taking taylor expansion of y in y 0.711 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.711 * [taylor]: Taking taylor expansion of y in y 0.711 * [taylor]: Taking taylor expansion of 1.0 in y 0.711 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 0.711 * [taylor]: Taking taylor expansion of (* x y) in y 0.711 * [taylor]: Taking taylor expansion of x in y 0.711 * [taylor]: Taking taylor expansion of y in y 0.712 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.712 * [taylor]: Taking taylor expansion of y in y 0.712 * [taylor]: Taking taylor expansion of 1.0 in y 0.712 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.712 * [taylor]: Taking taylor expansion of 1.0 in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.715 * [taylor]: Taking taylor expansion of (- (* 1.0 x)) in x 0.715 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.715 * [taylor]: Taking taylor expansion of 1.0 in x 0.715 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.723 * [taylor]: Taking taylor expansion of 1.0 in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.725 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (y x) around 0 0.725 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.725 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.725 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.725 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.725 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.725 * [taylor]: Taking taylor expansion of y in x 0.725 * [taylor]: Taking taylor expansion of 1.0 in x 0.725 * [taylor]: Taking taylor expansion of y in x 0.726 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.726 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.726 * [taylor]: Taking taylor expansion of x in y 0.727 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.727 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.727 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.727 * [taylor]: Taking taylor expansion of y in y 0.727 * [taylor]: Taking taylor expansion of 1.0 in y 0.727 * [taylor]: Taking taylor expansion of y in y 0.729 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.729 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.729 * [taylor]: Taking taylor expansion of x in y 0.729 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.729 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.729 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.729 * [taylor]: Taking taylor expansion of y in y 0.730 * [taylor]: Taking taylor expansion of 1.0 in y 0.730 * [taylor]: Taking taylor expansion of y in y 0.732 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x))) in x 0.735 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.735 * [taylor]: Taking taylor expansion of 1.0 in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.739 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.739 * [taylor]: Taking taylor expansion of 1.0 in x 0.739 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.741 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (y x) around 0 0.741 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.741 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.741 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.741 * [taylor]: Taking taylor expansion of 1.0 in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.741 * [taylor]: Taking taylor expansion of y in x 0.741 * [taylor]: Taking taylor expansion of y in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.742 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.742 * [taylor]: Taking taylor expansion of x in y 0.742 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.742 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.742 * [taylor]: Taking taylor expansion of 1.0 in y 0.742 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.742 * [taylor]: Taking taylor expansion of y in y 0.743 * [taylor]: Taking taylor expansion of y in y 0.745 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.745 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.745 * [taylor]: Taking taylor expansion of x in y 0.746 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.746 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.746 * [taylor]: Taking taylor expansion of 1.0 in y 0.746 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.746 * [taylor]: Taking taylor expansion of y in y 0.746 * [taylor]: Taking taylor expansion of y in y 0.749 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.749 * [taylor]: Taking taylor expansion of -1 in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.753 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x))) in x 0.753 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.753 * [taylor]: Taking taylor expansion of 1.0 in x 0.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.757 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x))) in x 0.757 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.757 * [taylor]: Taking taylor expansion of 1.0 in x 0.757 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.759 * * * [progress]: simplifying candidates 0.761 * [simplify]: Simplifying using # : (expm1 (/ (+ y 1.0) (* x y))) (log1p (/ (+ y 1.0) (* x y))) (- (log (+ y 1.0)) (+ (log x) (log y))) (- (log (+ y 1.0)) (log (* x y))) (log (/ (+ y 1.0) (* x y))) (exp (/ (+ y 1.0) (* x y))) (/ (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0)) (* (* (* x x) x) (* (* y y) y))) (/ (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0)) (* (* (* x y) (* x y)) (* x y))) (* (cbrt (/ (+ y 1.0) (* x y))) (cbrt (/ (+ y 1.0) (* x y)))) (cbrt (/ (+ y 1.0) (* x y))) (* (* (/ (+ y 1.0) (* x y)) (/ (+ y 1.0) (* x y))) (/ (+ y 1.0) (* x y))) (sqrt (/ (+ y 1.0) (* x y))) (sqrt (/ (+ y 1.0) (* x y))) (- (+ y 1.0)) (- (* x y)) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) x) (/ (cbrt (+ y 1.0)) y) (/ (sqrt (+ y 1.0)) x) (/ (sqrt (+ y 1.0)) y) (/ 1 x) (/ (+ y 1.0) y) (/ 1 x) (/ (+ y 1.0) y) (/ 1 (* x y)) (/ (* x y) (+ y 1.0)) (/ (+ y 1.0) x) (/ (* x y) (cbrt (+ y 1.0))) (/ (* x y) (sqrt (+ y 1.0))) (/ (* x y) (+ y 1.0)) (/ (* x y) (+ y 1.0)) (* (* x y) (+ (* y y) (- (* 1.0 1.0) (* y 1.0)))) (* (* x y) (- y 1.0)) (expm1 (/ 1 (/ (+ y 1.0) (* x y)))) (log1p (/ 1 (/ (+ y 1.0) (* x y)))) (- 1) (- (- (log (+ y 1.0)) (+ (log x) (log y)))) (- (- (log (+ y 1.0)) (log (* x y)))) (- (log (/ (+ y 1.0) (* x y)))) (- 0 (- (log (+ y 1.0)) (+ (log x) (log y)))) (- 0 (- (log (+ y 1.0)) (log (* x y)))) (- 0 (log (/ (+ y 1.0) (* x y)))) (- (log 1) (- (log (+ y 1.0)) (+ (log x) (log y)))) (- (log 1) (- (log (+ y 1.0)) (log (* x y)))) (- (log 1) (log (/ (+ y 1.0) (* x y)))) (log (/ 1 (/ (+ y 1.0) (* x y)))) (exp (/ 1 (/ (+ y 1.0) (* x y)))) (/ (* (* 1 1) 1) (/ (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0)) (* (* (* x x) x) (* (* y y) y)))) (/ (* (* 1 1) 1) (/ (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0)) (* (* (* x y) (* x y)) (* x y)))) (/ (* (* 1 1) 1) (* (* (/ (+ y 1.0) (* x y)) (/ (+ y 1.0) (* x y))) (/ (+ y 1.0) (* x y)))) (* (cbrt (/ 1 (/ (+ y 1.0) (* x y)))) (cbrt (/ 1 (/ (+ y 1.0) (* x y))))) (cbrt (/ 1 (/ (+ y 1.0) (* x y)))) (* (* (/ 1 (/ (+ y 1.0) (* x y))) (/ 1 (/ (+ y 1.0) (* x y)))) (/ 1 (/ (+ y 1.0) (* x y)))) (sqrt (/ 1 (/ (+ y 1.0) (* x y)))) (sqrt (/ 1 (/ (+ y 1.0) (* x y)))) (- 1) (- (/ (+ y 1.0) (* x y))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ y 1.0) (* x y))) (cbrt (/ (+ y 1.0) (* x y))))) (/ (cbrt 1) (cbrt (/ (+ y 1.0) (* x y)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ y 1.0) (* x y)))) (/ (cbrt 1) (sqrt (/ (+ y 1.0) (* x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) x)) (/ (cbrt 1) (/ (cbrt (+ y 1.0)) y)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y 1.0)) x)) (/ (cbrt 1) (/ (sqrt (+ y 1.0)) y)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 x)) (/ (cbrt 1) (/ (+ y 1.0) y)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 x)) (/ (cbrt 1) (/ (+ y 1.0) y)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ y 1.0) (* x y))) (/ (* (cbrt 1) (cbrt 1)) (+ y 1.0)) (/ (cbrt 1) (/ 1 (* x y))) (/ (sqrt 1) (* (cbrt (/ (+ y 1.0) (* x y))) (cbrt (/ (+ y 1.0) (* x y))))) (/ (sqrt 1) (cbrt (/ (+ y 1.0) (* x y)))) (/ (sqrt 1) (sqrt (/ (+ y 1.0) (* x y)))) (/ (sqrt 1) (sqrt (/ (+ y 1.0) (* x y)))) (/ (sqrt 1) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) x)) (/ (sqrt 1) (/ (cbrt (+ y 1.0)) y)) (/ (sqrt 1) (/ (sqrt (+ y 1.0)) x)) (/ (sqrt 1) (/ (sqrt (+ y 1.0)) y)) (/ (sqrt 1) (/ 1 x)) (/ (sqrt 1) (/ (+ y 1.0) y)) (/ (sqrt 1) (/ 1 x)) (/ (sqrt 1) (/ (+ y 1.0) y)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ y 1.0) (* x y))) (/ (sqrt 1) (+ y 1.0)) (/ (sqrt 1) (/ 1 (* x y))) (/ 1 (* (cbrt (/ (+ y 1.0) (* x y))) (cbrt (/ (+ y 1.0) (* x y))))) (/ 1 (cbrt (/ (+ y 1.0) (* x y)))) (/ 1 (sqrt (/ (+ y 1.0) (* x y)))) (/ 1 (sqrt (/ (+ y 1.0) (* x y)))) (/ 1 (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) x)) (/ 1 (/ (cbrt (+ y 1.0)) y)) (/ 1 (/ (sqrt (+ y 1.0)) x)) (/ 1 (/ (sqrt (+ y 1.0)) y)) (/ 1 (/ 1 x)) (/ 1 (/ (+ y 1.0) y)) (/ 1 (/ 1 x)) (/ 1 (/ (+ y 1.0) y)) (/ 1 1) (/ 1 (/ (+ y 1.0) (* x y))) (/ 1 (+ y 1.0)) (/ 1 (/ 1 (* x y))) (/ 1 (/ (+ y 1.0) (* x y))) (/ (/ (+ y 1.0) (* x y)) 1) (/ 1 (* (cbrt (/ (+ y 1.0) (* x y))) (cbrt (/ (+ y 1.0) (* x y))))) (/ 1 (sqrt (/ (+ y 1.0) (* x y)))) (/ 1 (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) x)) (/ 1 (/ (sqrt (+ y 1.0)) x)) (/ 1 (/ 1 x)) (/ 1 (/ 1 x)) (/ 1 1) (/ 1 (+ y 1.0)) (/ (/ (+ y 1.0) (* x y)) (cbrt 1)) (/ (/ (+ y 1.0) (* x y)) (sqrt 1)) (/ (/ (+ y 1.0) (* x y)) 1) (/ 1 (+ y 1.0)) (+ (* 1.0 (/ 1 (* x y))) (/ 1 x)) (+ (/ 1 x) (* 1.0 (/ 1 (* x y)))) (+ (/ 1 x) (* 1.0 (/ 1 (* x y)))) (- (+ (* 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))) 0.768 * * [simplify]: iteration 0 : 376 enodes (cost 590 ) 0.780 * * [simplify]: iteration 1 : 1864 enodes (cost 504 ) 0.824 * * [simplify]: iteration 2 : 5001 enodes (cost 451 ) 0.827 * [simplify]: Simplified to: (expm1 (/ (+ y 1.0) (* x y))) (log1p (/ (+ y 1.0) (* x y))) (log (/ (+ y 1.0) (* x y))) (log (/ (+ y 1.0) (* x y))) (log (/ (+ y 1.0) (* x y))) (exp (/ (+ y 1.0) (* x y))) (pow (/ (+ y 1.0) (* x y)) 3) (pow (/ (+ y 1.0) (* x y)) 3) (* (cbrt (/ (+ y 1.0) (* x y))) (cbrt (/ (+ y 1.0) (* x y)))) (cbrt (/ (+ y 1.0) (* x y))) (pow (/ (+ y 1.0) (* x y)) 3) (sqrt (/ (+ y 1.0) (* x y))) (sqrt (/ (+ y 1.0) (* x y))) (- (+ y 1.0)) (- (* x y)) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) x) (/ (cbrt (+ y 1.0)) y) (/ (sqrt (+ y 1.0)) x) (/ (sqrt (+ y 1.0)) y) (/ 1 x) (/ (+ y 1.0) y) (/ 1 x) (/ (+ y 1.0) y) (/ 1 (* x y)) (/ (* x y) (+ y 1.0)) (/ (+ y 1.0) x) (/ (* x y) (cbrt (+ y 1.0))) (/ (* x y) (sqrt (+ y 1.0))) (/ (* x y) (+ y 1.0)) (/ (* x y) (+ y 1.0)) (* (* x y) (fma 1.0 (- 1.0 y) (pow y 2))) (* (* x y) (- y 1.0)) (expm1 (/ 1 (/ (+ y 1.0) (* x y)))) (log1p (/ 1 (/ (+ y 1.0) (* x y)))) (- 1) (log (/ 1 (/ (+ y 1.0) (* x y)))) (log (/ 1 (/ (+ y 1.0) (* x y)))) (log (/ 1 (/ (+ y 1.0) (* x y)))) (log (/ 1 (/ (+ y 1.0) (* x y)))) (log (/ 1 (/ (+ y 1.0) (* x y)))) (log (/ 1 (/ (+ y 1.0) (* x y)))) (log (/ 1 (/ (+ y 1.0) (* x y)))) (log (/ 1 (/ (+ y 1.0) (* x y)))) (log (/ 1 (/ (+ y 1.0) (* x y)))) (log (/ 1 (/ (+ y 1.0) (* x y)))) (pow (exp (/ x (+ y 1.0))) y) (pow (/ (* x y) (+ y 1.0)) 3) (pow (/ (* x y) (+ y 1.0)) 3) (pow (/ (* x y) (+ y 1.0)) 3) (* (cbrt (/ 1 (/ (+ y 1.0) (* x y)))) (cbrt (/ 1 (/ (+ y 1.0) (* x y))))) (cbrt (/ 1 (/ (+ y 1.0) (* x y)))) (pow (/ (* x y) (+ y 1.0)) 3) (sqrt (/ 1 (/ (+ y 1.0) (* x y)))) (sqrt (/ 1 (/ (+ y 1.0) (* x y)))) (- 1) (- (/ (+ y 1.0) (* x y))) (/ 1 (* (cbrt (/ (+ y 1.0) (* x y))) (cbrt (/ (+ y 1.0) (* x y))))) (/ 1 (cbrt (/ (+ y 1.0) (* x y)))) (/ 1 (sqrt (/ (+ y 1.0) (* x y)))) (/ 1 (sqrt (/ (+ y 1.0) (* x y)))) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (/ (cbrt (+ y 1.0)) y)) (/ x (sqrt (+ y 1.0))) (/ 1 (/ (sqrt (+ y 1.0)) y)) x (/ y (+ y 1.0)) x (/ y (+ y 1.0)) 1 (/ (* x y) (+ y 1.0)) (/ 1 (+ y 1.0)) (* x y) (/ 1 (* (cbrt (/ (+ y 1.0) (* x y))) (cbrt (/ (+ y 1.0) (* x y))))) (/ 1 (cbrt (/ (+ y 1.0) (* x y)))) (/ 1 (sqrt (/ (+ y 1.0) (* x y)))) (/ 1 (sqrt (/ (+ y 1.0) (* x y)))) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (/ (cbrt (+ y 1.0)) y)) (/ x (sqrt (+ y 1.0))) (/ 1 (/ (sqrt (+ y 1.0)) y)) x (/ y (+ y 1.0)) x (/ y (+ y 1.0)) 1 (/ (* x y) (+ y 1.0)) (/ 1 (+ y 1.0)) (* x y) (/ 1 (* (cbrt (/ (+ y 1.0) (* x y))) (cbrt (/ (+ y 1.0) (* x y))))) (/ 1 (cbrt (/ (+ y 1.0) (* x y)))) (/ 1 (sqrt (/ (+ y 1.0) (* x y)))) (/ 1 (sqrt (/ (+ y 1.0) (* x y)))) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (/ (cbrt (+ y 1.0)) y)) (/ x (sqrt (+ y 1.0))) (/ 1 (/ (sqrt (+ y 1.0)) y)) x (/ y (+ y 1.0)) x (/ y (+ y 1.0)) 1 (/ (* x y) (+ y 1.0)) (/ 1 (+ y 1.0)) (* x y) (/ (* x y) (+ y 1.0)) (/ (+ y 1.0) (* x y)) (/ 1 (* (cbrt (/ (+ y 1.0) (* x y))) (cbrt (/ (+ y 1.0) (* x y))))) (/ 1 (sqrt (/ (+ y 1.0) (* x y)))) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ x (sqrt (+ y 1.0))) x x 1 (/ 1 (+ y 1.0)) (/ (+ y 1.0) (* x y)) (/ (+ y 1.0) (* x y)) (/ (+ y 1.0) (* x y)) (/ 1 (+ y 1.0)) (fma 1.0 (/ 1 (* x y)) (/ 1 x)) (fma 1.0 (/ 1 (* x y)) (/ 1 x)) (fma 1.0 (/ 1 (* x y)) (/ 1 x)) (* 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) 0.828 * * * [progress]: adding candidates to table 0.961 * * [progress]: iteration 4 / 4 0.961 * * * [progress]: picking best candidate 0.963 * * * * [pick]: Picked # 0.963 * * * [progress]: localizing error 0.970 * * * [progress]: generating rewritten candidates 0.970 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.981 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 1.000 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 1.013 * * * [progress]: generating series expansions 1.013 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.013 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 1.013 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 1.013 * [taylor]: Taking taylor expansion of (* x y) in y 1.013 * [taylor]: Taking taylor expansion of x in y 1.013 * [taylor]: Taking taylor expansion of y in y 1.013 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.013 * [taylor]: Taking taylor expansion of y in y 1.014 * [taylor]: Taking taylor expansion of 1.0 in y 1.015 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 1.015 * [taylor]: Taking taylor expansion of (* x y) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.015 * [taylor]: Taking taylor expansion of y in x 1.015 * [taylor]: Taking taylor expansion of (+ y 1.0) 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 (/ (* x y) (+ y 1.0)) in x 1.015 * [taylor]: Taking taylor expansion of (* x y) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.015 * [taylor]: Taking taylor expansion of y in x 1.015 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 1.015 * [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 (+ y 1.0)) in y 1.016 * [taylor]: Taking taylor expansion of y in y 1.016 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.016 * [taylor]: Taking taylor expansion of y in y 1.016 * [taylor]: Taking taylor expansion of 1.0 in y 1.018 * [taylor]: Taking taylor expansion of 0 in y 1.022 * [taylor]: Taking taylor expansion of 0 in y 1.026 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 1.026 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 1.026 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 1.026 * [taylor]: Taking taylor expansion of x in y 1.026 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 1.026 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 1.026 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.026 * [taylor]: Taking taylor expansion of y in y 1.026 * [taylor]: Taking taylor expansion of 1.0 in y 1.026 * [taylor]: Taking taylor expansion of y in y 1.028 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 1.028 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.029 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 1.029 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 1.029 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.029 * [taylor]: Taking taylor expansion of y in x 1.029 * [taylor]: Taking taylor expansion of 1.0 in x 1.029 * [taylor]: Taking taylor expansion of y in x 1.030 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 1.030 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 1.030 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 1.030 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.030 * [taylor]: Taking taylor expansion of y in x 1.030 * [taylor]: Taking taylor expansion of 1.0 in x 1.030 * [taylor]: Taking taylor expansion of y in x 1.031 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 1.031 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 1.031 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.031 * [taylor]: Taking taylor expansion of 1.0 in y 1.031 * [taylor]: Taking taylor expansion of y in y 1.031 * [taylor]: Taking taylor expansion of 1 in y 1.033 * [taylor]: Taking taylor expansion of 0 in y 1.038 * [taylor]: Taking taylor expansion of 0 in y 1.043 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (x y) around 0 1.043 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 1.043 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 1.043 * [taylor]: Taking taylor expansion of x in y 1.043 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 1.043 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 1.043 * [taylor]: Taking taylor expansion of 1.0 in y 1.043 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.043 * [taylor]: Taking taylor expansion of y in y 1.043 * [taylor]: Taking taylor expansion of y in y 1.046 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 1.046 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 1.046 * [taylor]: Taking taylor expansion of x in x 1.046 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 1.047 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 1.047 * [taylor]: Taking taylor expansion of 1.0 in x 1.047 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.047 * [taylor]: Taking taylor expansion of y in x 1.047 * [taylor]: Taking taylor expansion of y in x 1.048 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 1.048 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.048 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 1.048 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 1.048 * [taylor]: Taking taylor expansion of 1.0 in x 1.048 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.048 * [taylor]: Taking taylor expansion of y in x 1.048 * [taylor]: Taking taylor expansion of y in x 1.049 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 1.049 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 1.049 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.050 * [taylor]: Taking taylor expansion of 1.0 in y 1.050 * [taylor]: Taking taylor expansion of y in y 1.050 * [taylor]: Taking taylor expansion of 1 in y 1.052 * [taylor]: Taking taylor expansion of 0 in y 1.058 * [taylor]: Taking taylor expansion of 0 in y 1.063 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.063 * [approximate]: Taking taylor expansion of (/ (+ y 1.0) (* x y)) in (x y) around 0 1.063 * [taylor]: Taking taylor expansion of (/ (+ y 1.0) (* x y)) in y 1.064 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.064 * [taylor]: Taking taylor expansion of y in y 1.064 * [taylor]: Taking taylor expansion of 1.0 in y 1.064 * [taylor]: Taking taylor expansion of (* x y) in y 1.064 * [taylor]: Taking taylor expansion of x in y 1.064 * [taylor]: Taking taylor expansion of y in y 1.064 * [taylor]: Taking taylor expansion of (/ (+ y 1.0) (* x y)) in x 1.064 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 1.064 * [taylor]: Taking taylor expansion of y in x 1.064 * [taylor]: Taking taylor expansion of 1.0 in x 1.064 * [taylor]: Taking taylor expansion of (* x y) in x 1.064 * [taylor]: Taking taylor expansion of x in x 1.064 * [taylor]: Taking taylor expansion of y in x 1.065 * [taylor]: Taking taylor expansion of (/ (+ y 1.0) (* x y)) in x 1.065 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 1.065 * [taylor]: Taking taylor expansion of y in x 1.065 * [taylor]: Taking taylor expansion of 1.0 in x 1.065 * [taylor]: Taking taylor expansion of (* x y) in x 1.065 * [taylor]: Taking taylor expansion of x in x 1.065 * [taylor]: Taking taylor expansion of y in x 1.065 * [taylor]: Taking taylor expansion of (/ (+ y 1.0) y) in y 1.065 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.065 * [taylor]: Taking taylor expansion of y in y 1.066 * [taylor]: Taking taylor expansion of 1.0 in y 1.066 * [taylor]: Taking taylor expansion of y in y 1.067 * [taylor]: Taking taylor expansion of 0 in y 1.069 * [taylor]: Taking taylor expansion of 0 in y 1.072 * [taylor]: Taking taylor expansion of 0 in y 1.075 * [taylor]: Taking taylor expansion of 0 in y 1.075 * [approximate]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in (x y) around 0 1.075 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 1.075 * [taylor]: Taking taylor expansion of x in y 1.075 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 1.075 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 1.075 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.075 * [taylor]: Taking taylor expansion of y in y 1.075 * [taylor]: Taking taylor expansion of 1.0 in y 1.076 * [taylor]: Taking taylor expansion of y in y 1.076 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.076 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 1.076 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 1.076 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.076 * [taylor]: Taking taylor expansion of y in x 1.076 * [taylor]: Taking taylor expansion of 1.0 in x 1.076 * [taylor]: Taking taylor expansion of y in x 1.076 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.076 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 1.076 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 1.076 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.076 * [taylor]: Taking taylor expansion of y in x 1.076 * [taylor]: Taking taylor expansion of 1.0 in x 1.076 * [taylor]: Taking taylor expansion of y in x 1.076 * [taylor]: Taking taylor expansion of 0 in y 1.077 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 1.077 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.077 * [taylor]: Taking taylor expansion of 1.0 in y 1.077 * [taylor]: Taking taylor expansion of y in y 1.077 * [taylor]: Taking taylor expansion of 1 in y 1.085 * [taylor]: Taking taylor expansion of 0 in y 1.088 * [taylor]: Taking taylor expansion of 0 in y 1.092 * [taylor]: Taking taylor expansion of 0 in y 1.096 * [taylor]: Taking taylor expansion of 0 in y 1.096 * [approximate]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in (x y) around 0 1.096 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 1.096 * [taylor]: Taking taylor expansion of x in y 1.096 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 1.097 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 1.097 * [taylor]: Taking taylor expansion of 1.0 in y 1.097 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.097 * [taylor]: Taking taylor expansion of y in y 1.097 * [taylor]: Taking taylor expansion of y in y 1.097 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 1.097 * [taylor]: Taking taylor expansion of x in x 1.097 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 1.097 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 1.097 * [taylor]: Taking taylor expansion of 1.0 in x 1.097 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.097 * [taylor]: Taking taylor expansion of y in x 1.097 * [taylor]: Taking taylor expansion of y in x 1.097 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 1.097 * [taylor]: Taking taylor expansion of x in x 1.097 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 1.097 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 1.097 * [taylor]: Taking taylor expansion of 1.0 in x 1.097 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.097 * [taylor]: Taking taylor expansion of y in x 1.097 * [taylor]: Taking taylor expansion of y in x 1.097 * [taylor]: Taking taylor expansion of 0 in y 1.099 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 1.099 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.099 * [taylor]: Taking taylor expansion of 1.0 in y 1.099 * [taylor]: Taking taylor expansion of y in y 1.099 * [taylor]: Taking taylor expansion of 1 in y 1.100 * [taylor]: Taking taylor expansion of 0 in y 1.103 * [taylor]: Taking taylor expansion of 0 in y 1.108 * [taylor]: Taking taylor expansion of 0 in y 1.112 * [taylor]: Taking taylor expansion of 0 in y 1.112 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 1.112 * [approximate]: Taking taylor expansion of (/ (+ y 1.0) y) in (y) around 0 1.112 * [taylor]: Taking taylor expansion of (/ (+ y 1.0) y) in y 1.112 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.112 * [taylor]: Taking taylor expansion of y in y 1.112 * [taylor]: Taking taylor expansion of 1.0 in y 1.113 * [taylor]: Taking taylor expansion of y in y 1.113 * [taylor]: Taking taylor expansion of (/ (+ y 1.0) y) in y 1.113 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.113 * [taylor]: Taking taylor expansion of y in y 1.113 * [taylor]: Taking taylor expansion of 1.0 in y 1.113 * [taylor]: Taking taylor expansion of y in y 1.121 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in (y) around 0 1.121 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 1.121 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 1.121 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.121 * [taylor]: Taking taylor expansion of y in y 1.121 * [taylor]: Taking taylor expansion of 1.0 in y 1.121 * [taylor]: Taking taylor expansion of y in y 1.121 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 1.121 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 1.121 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.121 * [taylor]: Taking taylor expansion of y in y 1.122 * [taylor]: Taking taylor expansion of 1.0 in y 1.122 * [taylor]: Taking taylor expansion of y in y 1.137 * [approximate]: Taking taylor expansion of (* -1 (* y (- 1.0 (/ 1 y)))) in (y) around 0 1.137 * [taylor]: Taking taylor expansion of (* -1 (* y (- 1.0 (/ 1 y)))) in y 1.137 * [taylor]: Taking taylor expansion of -1 in y 1.137 * [taylor]: Taking taylor expansion of (* y (- 1.0 (/ 1 y))) in y 1.137 * [taylor]: Taking taylor expansion of y in y 1.137 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 1.137 * [taylor]: Taking taylor expansion of 1.0 in y 1.137 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.137 * [taylor]: Taking taylor expansion of y in y 1.137 * [taylor]: Taking taylor expansion of (* -1 (* y (- 1.0 (/ 1 y)))) in y 1.137 * [taylor]: Taking taylor expansion of -1 in y 1.137 * [taylor]: Taking taylor expansion of (* y (- 1.0 (/ 1 y))) in y 1.137 * [taylor]: Taking taylor expansion of y in y 1.137 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 1.137 * [taylor]: Taking taylor expansion of 1.0 in y 1.137 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.137 * [taylor]: Taking taylor expansion of y in y 1.164 * * * [progress]: simplifying candidates 1.166 * [simplify]: Simplifying using # : (expm1 (/ 1 (* (/ 1 x) (/ (+ y 1.0) y)))) (log1p (/ 1 (* (/ 1 x) (/ (+ y 1.0) y)))) (- 1) (- 1) (- (+ (- (log x)) (- (log (+ y 1.0)) (log y)))) (- (+ (- (log x)) (log (/ (+ y 1.0) y)))) (- (+ (- 0 (log x)) (- (log (+ y 1.0)) (log y)))) (- (+ (- 0 (log x)) (log (/ (+ y 1.0) y)))) (- (+ (- (log 1) (log x)) (- (log (+ y 1.0)) (log y)))) (- (+ (- (log 1) (log x)) (log (/ (+ y 1.0) y)))) (- (+ (log (/ 1 x)) (- (log (+ y 1.0)) (log y)))) (- (+ (log (/ 1 x)) (log (/ (+ y 1.0) y)))) (- (log (* (/ 1 x) (/ (+ y 1.0) y)))) (- 0 (+ (- (log x)) (- (log (+ y 1.0)) (log y)))) (- 0 (+ (- (log x)) (log (/ (+ y 1.0) y)))) (- 0 (+ (- 0 (log x)) (- (log (+ y 1.0)) (log y)))) (- 0 (+ (- 0 (log x)) (log (/ (+ y 1.0) y)))) (- 0 (+ (- (log 1) (log x)) (- (log (+ y 1.0)) (log y)))) (- 0 (+ (- (log 1) (log x)) (log (/ (+ y 1.0) y)))) (- 0 (+ (log (/ 1 x)) (- (log (+ y 1.0)) (log y)))) (- 0 (+ (log (/ 1 x)) (log (/ (+ y 1.0) y)))) (- 0 (log (* (/ 1 x) (/ (+ y 1.0) y)))) (- (log 1) (+ (- (log x)) (- (log (+ y 1.0)) (log y)))) (- (log 1) (+ (- (log x)) (log (/ (+ y 1.0) y)))) (- (log 1) (+ (- 0 (log x)) (- (log (+ y 1.0)) (log y)))) (- (log 1) (+ (- 0 (log x)) (log (/ (+ y 1.0) y)))) (- (log 1) (+ (- (log 1) (log x)) (- (log (+ y 1.0)) (log y)))) (- (log 1) (+ (- (log 1) (log x)) (log (/ (+ y 1.0) y)))) (- (log 1) (+ (log (/ 1 x)) (- (log (+ y 1.0)) (log y)))) (- (log 1) (+ (log (/ 1 x)) (log (/ (+ y 1.0) y)))) (- (log 1) (log (* (/ 1 x) (/ (+ y 1.0) y)))) (log (/ 1 (* (/ 1 x) (/ (+ y 1.0) y)))) (exp (/ 1 (* (/ 1 x) (/ (+ y 1.0) y)))) (/ (* (* 1 1) 1) (* (/ (* (* 1 1) 1) (* (* x x) x)) (/ (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0)) (* (* y y) y)))) (/ (* (* 1 1) 1) (* (/ (* (* 1 1) 1) (* (* x x) x)) (* (* (/ (+ y 1.0) y) (/ (+ y 1.0) y)) (/ (+ y 1.0) y)))) (/ (* (* 1 1) 1) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (/ (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0)) (* (* y y) y)))) (/ (* (* 1 1) 1) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (/ (+ y 1.0) y) (/ (+ y 1.0) y)) (/ (+ y 1.0) y)))) (/ (* (* 1 1) 1) (* (* (* (/ 1 x) (/ (+ y 1.0) y)) (* (/ 1 x) (/ (+ y 1.0) y))) (* (/ 1 x) (/ (+ y 1.0) y)))) (* (cbrt (/ 1 (* (/ 1 x) (/ (+ y 1.0) y)))) (cbrt (/ 1 (* (/ 1 x) (/ (+ y 1.0) y))))) (cbrt (/ 1 (* (/ 1 x) (/ (+ y 1.0) y)))) (* (* (/ 1 (* (/ 1 x) (/ (+ y 1.0) y))) (/ 1 (* (/ 1 x) (/ (+ y 1.0) y)))) (/ 1 (* (/ 1 x) (/ (+ y 1.0) y)))) (sqrt (/ 1 (* (/ 1 x) (/ (+ y 1.0) y)))) (sqrt (/ 1 (* (/ 1 x) (/ (+ y 1.0) y)))) (- 1) (- (* (/ 1 x) (/ (+ y 1.0) y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 x)) (/ (cbrt 1) (/ (+ y 1.0) y)) (/ (sqrt 1) (/ 1 x)) (/ (sqrt 1) (/ (+ y 1.0) y)) (/ 1 (/ 1 x)) (/ 1 (/ (+ y 1.0) y)) (/ 1 (* (/ 1 x) (/ (+ y 1.0) y))) (/ (* (/ 1 x) (/ (+ y 1.0) y)) 1) (/ 1 (/ 1 x)) (/ (* (/ 1 x) (/ (+ y 1.0) y)) (cbrt 1)) (/ (* (/ 1 x) (/ (+ y 1.0) y)) (sqrt 1)) (/ (* (/ 1 x) (/ (+ y 1.0) y)) 1) (/ 1 (* 1 (+ y 1.0))) (/ 1 (* (/ 1 x) (+ y 1.0))) (/ 1 (* 1 (/ (+ y 1.0) y))) (expm1 (* (/ 1 x) (/ (+ y 1.0) y))) (log1p (* (/ 1 x) (/ (+ y 1.0) y))) (* (/ 1 x) (/ (+ y 1.0) y)) (+ (- (log x)) (- (log (+ y 1.0)) (log y))) (+ (- (log x)) (log (/ (+ y 1.0) y))) (+ (- 0 (log x)) (- (log (+ y 1.0)) (log y))) (+ (- 0 (log x)) (log (/ (+ y 1.0) y))) (+ (- (log 1) (log x)) (- (log (+ y 1.0)) (log y))) (+ (- (log 1) (log x)) (log (/ (+ y 1.0) y))) (+ (log (/ 1 x)) (- (log (+ y 1.0)) (log y))) (+ (log (/ 1 x)) (log (/ (+ y 1.0) y))) (log (* (/ 1 x) (/ (+ y 1.0) y))) (exp (* (/ 1 x) (/ (+ y 1.0) y))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (/ (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0)) (* (* y y) y))) (* (/ (* (* 1 1) 1) (* (* x x) x)) (* (* (/ (+ y 1.0) y) (/ (+ y 1.0) y)) (/ (+ y 1.0) y))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (/ (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0)) (* (* y y) y))) (* (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (/ (+ y 1.0) y) (/ (+ y 1.0) y)) (/ (+ y 1.0) y))) (* (cbrt (* (/ 1 x) (/ (+ y 1.0) y))) (cbrt (* (/ 1 x) (/ (+ y 1.0) y)))) (cbrt (* (/ 1 x) (/ (+ y 1.0) y))) (* (* (* (/ 1 x) (/ (+ y 1.0) y)) (* (/ 1 x) (/ (+ y 1.0) y))) (* (/ 1 x) (/ (+ y 1.0) y))) (sqrt (* (/ 1 x) (/ (+ y 1.0) y))) (sqrt (* (/ 1 x) (/ (+ y 1.0) y))) (* 1 (+ y 1.0)) (* x y) (* (sqrt (/ 1 x)) (sqrt (/ (+ y 1.0) y))) (* (sqrt (/ 1 x)) (sqrt (/ (+ y 1.0) y))) (* (sqrt (/ 1 x)) (/ (sqrt (+ y 1.0)) (sqrt y))) (* (sqrt (/ 1 x)) (/ (sqrt (+ y 1.0)) (sqrt y))) (* (/ (sqrt 1) (sqrt x)) (sqrt (/ (+ y 1.0) y))) (* (/ (sqrt 1) (sqrt x)) (sqrt (/ (+ y 1.0) y))) (* (/ (sqrt 1) (sqrt x)) (/ (sqrt (+ y 1.0)) (sqrt y))) (* (/ (sqrt 1) (sqrt x)) (/ (sqrt (+ y 1.0)) (sqrt y))) (* (/ 1 (sqrt x)) (sqrt (/ (+ y 1.0) y))) (* (/ 1 (sqrt x)) (sqrt (/ (+ y 1.0) y))) (* (/ 1 (sqrt x)) (/ (sqrt (+ y 1.0)) (sqrt y))) (* (/ 1 (sqrt x)) (/ (sqrt (+ y 1.0)) (sqrt y))) (* (/ 1 x) (* (cbrt (/ (+ y 1.0) y)) (cbrt (/ (+ y 1.0) y)))) (* (/ 1 x) (sqrt (/ (+ y 1.0) y))) (* (/ 1 x) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (* (cbrt y) (cbrt y)))) (* (/ 1 x) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (sqrt y))) (* (/ 1 x) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) 1)) (* (/ 1 x) (/ (sqrt (+ y 1.0)) (* (cbrt y) (cbrt y)))) (* (/ 1 x) (/ (sqrt (+ y 1.0)) (sqrt y))) (* (/ 1 x) (/ (sqrt (+ y 1.0)) 1)) (* (/ 1 x) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ 1 x) (/ 1 (sqrt y))) (* (/ 1 x) (/ 1 1)) (* (/ 1 x) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ 1 x) (/ 1 (sqrt y))) (* (/ 1 x) (/ 1 1)) (* (/ 1 x) 1) (* (/ 1 x) (+ y 1.0)) (* (cbrt (/ 1 x)) (/ (+ y 1.0) y)) (* (sqrt (/ 1 x)) (/ (+ y 1.0) y)) (* (/ (cbrt 1) (cbrt x)) (/ (+ y 1.0) y)) (* (/ (cbrt 1) (sqrt x)) (/ (+ y 1.0) y)) (* (/ (cbrt 1) x) (/ (+ y 1.0) y)) (* (/ (sqrt 1) (cbrt x)) (/ (+ y 1.0) y)) (* (/ (sqrt 1) (sqrt x)) (/ (+ y 1.0) y)) (* (/ (sqrt 1) x) (/ (+ y 1.0) y)) (* (/ 1 (cbrt x)) (/ (+ y 1.0) y)) (* (/ 1 (sqrt x)) (/ (+ y 1.0) y)) (* (/ 1 x) (/ (+ y 1.0) y)) (* (/ 1 x) (/ (+ y 1.0) y)) (* (/ 1 x) (/ (+ y 1.0) y)) (* (/ 1 x) (+ y 1.0)) (* 1 (/ (+ y 1.0) y)) (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 (* x y))) (/ 1 x)) (+ (/ 1 x) (* 1.0 (/ 1 (* x y)))) (+ (/ 1 x) (* 1.0 (/ 1 (* x y)))) (+ (* 1.0 (/ 1 y)) 1) (+ (* 1.0 (/ 1 y)) 1) (+ (* 1.0 (/ 1 y)) 1) 1.184 * * [simplify]: iteration 0 : 634 enodes (cost 940 ) 1.203 * * [simplify]: iteration 1 : 3303 enodes (cost 755 ) 1.256 * * [simplify]: iteration 2 : 5001 enodes (cost 735 ) 1.261 * [simplify]: Simplified to: (expm1 (/ 1 (* (/ 1 x) (/ (+ y 1.0) y)))) (log1p (/ 1 (* (/ 1 x) (/ (+ y 1.0) y)))) (- 1) (- 1) (- (log x) (log (/ (+ y 1.0) y))) (- (log x) (log (/ (+ y 1.0) y))) (- (log x) (log (/ (+ y 1.0) y))) (- (log x) (log (/ (+ y 1.0) y))) (- (log x) (log (/ (+ y 1.0) y))) (- (log x) (log (/ (+ y 1.0) y))) (- (log x) (log (/ (+ y 1.0) y))) (- (log x) (log (/ (+ y 1.0) y))) (- (log x) (log (/ (+ y 1.0) y))) (- (log x) (log (/ (+ y 1.0) y))) (- (log x) (log (/ (+ y 1.0) y))) (- (log x) (log (/ (+ y 1.0) y))) (- (log x) (log (/ (+ y 1.0) y))) (- (log x) (log (/ (+ y 1.0) y))) (- (log x) (log (/ (+ y 1.0) y))) (- (log x) (log (/ (+ y 1.0) y))) (- (log x) (log (/ (+ y 1.0) y))) (- (log x) (log (/ (+ y 1.0) y))) (- (log x) (log (/ (+ y 1.0) y))) (- (log x) (log (/ (+ y 1.0) y))) (- (log x) (log (/ (+ y 1.0) y))) (- (log x) (log (/ (+ y 1.0) y))) (- (log x) (log (/ (+ y 1.0) y))) (- (log x) (log (/ (+ y 1.0) y))) (- (log x) (log (/ (+ y 1.0) y))) (- (log x) (log (/ (+ y 1.0) y))) (- (log x) (log (/ (+ y 1.0) y))) (- (log x) (log (/ (+ y 1.0) y))) (pow (exp (/ y (+ y 1.0))) x) (pow (/ x (/ (+ y 1.0) y)) 3) (pow (/ x (/ (+ y 1.0) y)) 3) (pow (/ x (/ (+ y 1.0) y)) 3) (pow (/ x (/ (+ y 1.0) y)) 3) (pow (/ x (/ (+ y 1.0) y)) 3) (* (cbrt (/ 1 (* (/ 1 x) (/ (+ y 1.0) y)))) (cbrt (/ 1 (* (/ 1 x) (/ (+ y 1.0) y))))) (cbrt (/ 1 (* (/ 1 x) (/ (+ y 1.0) y)))) (pow (/ x (/ (+ y 1.0) y)) 3) (sqrt (/ 1 (* (/ 1 x) (/ (+ y 1.0) y)))) (sqrt (/ 1 (* (/ 1 x) (/ (+ y 1.0) y)))) (- 1) (/ (- (/ (+ y 1.0) x)) y) x (/ y (+ y 1.0)) x (/ y (+ y 1.0)) x (/ y (+ y 1.0)) (/ x (/ (+ y 1.0) y)) (/ (/ (+ y 1.0) y) x) x (/ (/ (+ y 1.0) y) x) (/ (/ (+ y 1.0) y) x) (/ (/ (+ y 1.0) y) x) (/ 1 (+ y 1.0)) (/ x (+ y 1.0)) (/ y (+ y 1.0)) (expm1 (* (/ 1 x) (/ (+ y 1.0) y))) (log1p (* (/ 1 x) (/ (+ y 1.0) y))) (/ (/ (+ y 1.0) y) x) (log (/ (/ (+ y 1.0) y) x)) (log (/ (/ (+ y 1.0) y) x)) (log (/ (/ (+ y 1.0) y) x)) (log (/ (/ (+ y 1.0) y) x)) (log (/ (/ (+ y 1.0) y) x)) (log (/ (/ (+ y 1.0) y) x)) (log (/ (/ (+ y 1.0) y) x)) (log (/ (/ (+ y 1.0) y) x)) (log (/ (/ (+ y 1.0) y) x)) (exp (/ (/ (+ y 1.0) y) x)) (pow (/ (/ (+ y 1.0) y) x) 3) (pow (/ (/ (+ y 1.0) y) x) 3) (pow (/ (/ (+ y 1.0) y) x) 3) (pow (/ (/ (+ y 1.0) y) x) 3) (* (cbrt (* (/ 1 x) (/ (+ y 1.0) y))) (cbrt (* (/ 1 x) (/ (+ y 1.0) y)))) (cbrt (* (/ 1 x) (/ (+ y 1.0) y))) (pow (/ (/ (+ y 1.0) y) x) 3) (sqrt (* (/ 1 x) (/ (+ y 1.0) y))) (sqrt (* (/ 1 x) (/ (+ y 1.0) y))) (+ y 1.0) (* x y) (* (sqrt (/ 1 x)) (sqrt (/ (+ y 1.0) y))) (* (sqrt (/ 1 x)) (sqrt (/ (+ y 1.0) y))) (* (sqrt (/ 1 x)) (/ (sqrt (+ y 1.0)) (sqrt y))) (* (sqrt (/ 1 x)) (/ (sqrt (+ y 1.0)) (sqrt y))) (* (/ 1 (sqrt x)) (sqrt (/ (+ y 1.0) y))) (* (/ 1 (sqrt x)) (sqrt (/ (+ y 1.0) y))) (* (/ 1 (sqrt x)) (/ (sqrt (+ y 1.0)) (sqrt y))) (* (/ 1 (sqrt x)) (/ (sqrt (+ y 1.0)) (sqrt y))) (* (/ 1 (sqrt x)) (sqrt (/ (+ y 1.0) y))) (* (/ 1 (sqrt x)) (sqrt (/ (+ y 1.0) y))) (* (/ 1 (sqrt x)) (/ (sqrt (+ y 1.0)) (sqrt y))) (* (/ 1 (sqrt x)) (/ (sqrt (+ y 1.0)) (sqrt y))) (/ (* (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) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ 1 x) (sqrt y)) (/ 1 x) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ 1 x) (sqrt y)) (/ 1 x) (/ 1 x) (/ (+ y 1.0) x) (* (cbrt (/ 1 x)) (/ (+ y 1.0) y)) (* (sqrt (/ 1 x)) (/ (+ y 1.0) y)) (/ (/ (+ y 1.0) y) (cbrt x)) (/ (/ (+ y 1.0) y) (sqrt x)) (/ (/ (+ y 1.0) y) x) (/ (/ (+ y 1.0) y) (cbrt x)) (/ (/ (+ y 1.0) y) (sqrt x)) (/ (/ (+ y 1.0) y) x) (/ (/ (+ y 1.0) y) (cbrt x)) (/ (/ (+ y 1.0) y) (sqrt x)) (/ (/ (+ y 1.0) y) x) (/ (/ (+ y 1.0) y) x) (/ (/ (+ y 1.0) y) x) (/ (+ y 1.0) x) (/ (+ y 1.0) y) (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 y x (* 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 (* x y)) (/ 1 x)) (fma 1.0 (/ 1 (* x y)) (/ 1 x)) (fma 1.0 (/ 1 (* x y)) (/ 1 x)) (fma 1.0 (/ 1 y) 1) (fma 1.0 (/ 1 y) 1) (fma 1.0 (/ 1 y) 1) 1.262 * * * [progress]: adding candidates to table 1.516 * [progress]: [Phase 3 of 3] Extracting. 1.517 * * [regime]: Finding splitpoints for: (# # #) 1.517 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.517 * * * * [regimes]: Trying to branch on y from (# # #) 1.531 * * * * [regimes]: Trying to branch on x from (# # #) 1.548 * * * [regime]: Found split indices: #