12.187 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying using # : (/ (* x y) (+ y 1.0)) 0.016 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.017 * * [simplify]: iteration 1 : 14 enodes (cost 3 ) 0.019 * * [simplify]: iteration 2 : 17 enodes (cost 3 ) 0.021 * * [simplify]: iteration 3 : 18 enodes (cost 3 ) 0.023 * * [simplify]: iteration 4 : 18 enodes (cost 3 ) 0.023 * [simplify]: Simplified to: (/ (* x y) (+ y 1.0)) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.037 * * * [progress]: generating series expansions 0.037 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.038 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 0.038 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 0.038 * [taylor]: Taking taylor expansion of (* x y) in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of 1.0 in y 0.039 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.039 * [taylor]: Taking taylor expansion of (* x y) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of 1.0 in x 0.039 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.039 * [taylor]: Taking taylor expansion of (* x y) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of 1.0 in x 0.040 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of 1.0 in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 0.049 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.049 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of 1.0 in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.051 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of 1.0 in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.053 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of 1.0 in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 0.054 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 0.054 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.054 * [taylor]: Taking taylor expansion of 1.0 in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of 1 in y 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (x y) around 0 0.066 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.066 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.066 * [taylor]: Taking taylor expansion of x in y 0.066 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.066 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.066 * [taylor]: Taking taylor expansion of 1.0 in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.069 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.069 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.069 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.069 * [taylor]: Taking taylor expansion of 1.0 in x 0.069 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.069 * [taylor]: Taking taylor expansion of y in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.071 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.071 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.071 * [taylor]: Taking taylor expansion of 1.0 in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 0.078 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 0.078 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.078 * [taylor]: Taking taylor expansion of 1.0 in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of 1 in y 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.093 * * * [progress]: simplifying candidates 0.094 * [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))) 0.099 * * [simplify]: iteration 0 : 200 enodes (cost 154 ) 0.105 * * [simplify]: iteration 1 : 910 enodes (cost 129 ) 0.126 * * [simplify]: iteration 2 : 4740 enodes (cost 126 ) 0.235 * * [simplify]: iteration 3 : 5001 enodes (cost 124 ) 0.237 * [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) 0.238 * * * [progress]: adding candidates to table 0.302 * * [progress]: iteration 2 / 4 0.302 * * * [progress]: picking best candidate 0.308 * * * * [pick]: Picked # 0.308 * * * [progress]: localizing error 0.313 * * * [progress]: generating rewritten candidates 0.313 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.319 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.337 * * * [progress]: generating series expansions 0.338 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.338 * [approximate]: Taking taylor expansion of (/ y (+ y 1.0)) in (y) around 0 0.338 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of 1.0 in y 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 0.346 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in (y) around 0 0.346 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in y 0.346 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.347 * [taylor]: Taking taylor expansion of 1.0 in y 0.347 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in y 0.349 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of 1.0 in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.360 * [approximate]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 y)) y)) in (y) around 0 0.360 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 y)) y)) in y 0.360 * [taylor]: Taking taylor expansion of -1 in y 0.360 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.360 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.360 * [taylor]: Taking taylor expansion of 1.0 in y 0.360 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.360 * [taylor]: Taking taylor expansion of y in y 0.360 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 y)) y)) in y 0.368 * [taylor]: Taking taylor expansion of -1 in y 0.368 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.368 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.368 * [taylor]: Taking taylor expansion of 1.0 in y 0.368 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.369 * [taylor]: Taking taylor expansion of y in y 0.381 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.381 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 0.382 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 0.382 * [taylor]: Taking taylor expansion of (* x y) in y 0.382 * [taylor]: Taking taylor expansion of x in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.382 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.382 * [taylor]: Taking taylor expansion of 1.0 in y 0.382 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.383 * [taylor]: Taking taylor expansion of (* x y) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of y in x 0.383 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.383 * [taylor]: Taking taylor expansion of y in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.383 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.383 * [taylor]: Taking taylor expansion of (* x y) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of y in x 0.383 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.383 * [taylor]: Taking taylor expansion of y in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.384 * [taylor]: Taking taylor expansion of y in y 0.384 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.384 * [taylor]: Taking taylor expansion of y in y 0.384 * [taylor]: Taking taylor expansion of 1.0 in y 0.386 * [taylor]: Taking taylor expansion of 0 in y 0.390 * [taylor]: Taking taylor expansion of 0 in y 0.394 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 0.394 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.394 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.394 * [taylor]: Taking taylor expansion of x in y 0.394 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.394 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.394 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.394 * [taylor]: Taking taylor expansion of y in y 0.394 * [taylor]: Taking taylor expansion of 1.0 in y 0.394 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.397 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.397 * [taylor]: Taking taylor expansion of y in x 0.397 * [taylor]: Taking taylor expansion of 1.0 in x 0.397 * [taylor]: Taking taylor expansion of y in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.398 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.398 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.399 * [taylor]: Taking taylor expansion of y in x 0.399 * [taylor]: Taking taylor expansion of 1.0 in x 0.399 * [taylor]: Taking taylor expansion of y in x 0.400 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 0.400 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 0.400 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.400 * [taylor]: Taking taylor expansion of 1.0 in y 0.400 * [taylor]: Taking taylor expansion of y in y 0.400 * [taylor]: Taking taylor expansion of 1 in y 0.402 * [taylor]: Taking taylor expansion of 0 in y 0.408 * [taylor]: Taking taylor expansion of 0 in y 0.412 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (x y) around 0 0.412 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.412 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.412 * [taylor]: Taking taylor expansion of x in y 0.413 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.413 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.413 * [taylor]: Taking taylor expansion of 1.0 in y 0.413 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.413 * [taylor]: Taking taylor expansion of y in y 0.413 * [taylor]: Taking taylor expansion of y in y 0.416 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.416 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.416 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.416 * [taylor]: Taking taylor expansion of 1.0 in x 0.416 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.416 * [taylor]: Taking taylor expansion of y in x 0.416 * [taylor]: Taking taylor expansion of y in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.417 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.418 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.418 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.418 * [taylor]: Taking taylor expansion of 1.0 in x 0.418 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.418 * [taylor]: Taking taylor expansion of y in x 0.418 * [taylor]: Taking taylor expansion of y in x 0.419 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 0.419 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 0.419 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.419 * [taylor]: Taking taylor expansion of 1.0 in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.419 * [taylor]: Taking taylor expansion of 1 in y 0.422 * [taylor]: Taking taylor expansion of 0 in y 0.428 * [taylor]: Taking taylor expansion of 0 in y 0.433 * * * [progress]: simplifying candidates 0.435 * [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))) 0.440 * * [simplify]: iteration 0 : 305 enodes (cost 392 ) 0.449 * * [simplify]: iteration 1 : 1398 enodes (cost 354 ) 0.480 * * [simplify]: iteration 2 : 5002 enodes (cost 349 ) 0.483 * [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) 0.483 * * * [progress]: adding candidates to table 0.646 * * [progress]: iteration 3 / 4 0.646 * * * [progress]: picking best candidate 0.650 * * * * [pick]: Picked # 0.650 * * * [progress]: localizing error 0.656 * * * [progress]: generating rewritten candidates 0.656 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.665 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.679 * * * [progress]: generating series expansions 0.679 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.679 * [approximate]: Taking taylor expansion of (/ (+ y 1.0) (* x y)) in (y x) around 0 0.679 * [taylor]: Taking taylor expansion of (/ (+ y 1.0) (* x y)) in x 0.679 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.679 * [taylor]: Taking taylor expansion of y in x 0.679 * [taylor]: Taking taylor expansion of 1.0 in x 0.679 * [taylor]: Taking taylor expansion of (* x y) in x 0.679 * [taylor]: Taking taylor expansion of x in x 0.679 * [taylor]: Taking taylor expansion of y in x 0.680 * [taylor]: Taking taylor expansion of (/ (+ y 1.0) (* x y)) in y 0.680 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.680 * [taylor]: Taking taylor expansion of y in y 0.680 * [taylor]: Taking taylor expansion of 1.0 in y 0.680 * [taylor]: Taking taylor expansion of (* x y) in y 0.680 * [taylor]: Taking taylor expansion of x in y 0.680 * [taylor]: Taking taylor expansion of y in y 0.681 * [taylor]: Taking taylor expansion of (/ (+ y 1.0) (* x y)) in y 0.681 * [taylor]: Taking taylor expansion of (+ y 1.0) 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 (* x y) in y 0.681 * [taylor]: Taking taylor expansion of x in y 0.681 * [taylor]: Taking taylor expansion of y in y 0.682 * [taylor]: Taking taylor expansion of (/ 1.0 x) in x 0.682 * [taylor]: Taking taylor expansion of 1.0 in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.685 * [taylor]: Taking taylor expansion of 0 in x 0.691 * [taylor]: Taking taylor expansion of 0 in x 0.692 * [approximate]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in (y x) around 0 0.693 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.693 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.693 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.693 * [taylor]: Taking taylor expansion of y in x 0.693 * [taylor]: Taking taylor expansion of 1.0 in x 0.693 * [taylor]: Taking taylor expansion of y in x 0.693 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.693 * [taylor]: Taking taylor expansion of x in y 0.693 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.693 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.693 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.693 * [taylor]: Taking taylor expansion of y in y 0.693 * [taylor]: Taking taylor expansion of 1.0 in y 0.693 * [taylor]: Taking taylor expansion of y in y 0.693 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.693 * [taylor]: Taking taylor expansion of x in y 0.693 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.693 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.693 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.693 * [taylor]: Taking taylor expansion of y in y 0.694 * [taylor]: Taking taylor expansion of 1.0 in y 0.694 * [taylor]: Taking taylor expansion of y in y 0.694 * [taylor]: Taking taylor expansion of 0 in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.699 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.699 * [taylor]: Taking taylor expansion of 1.0 in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.702 * [taylor]: Taking taylor expansion of 0 in x 0.707 * [taylor]: Taking taylor expansion of 0 in x 0.708 * [approximate]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in (y x) around 0 0.708 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.708 * [taylor]: Taking taylor expansion of x in x 0.708 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.708 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.708 * [taylor]: Taking taylor expansion of 1.0 in x 0.708 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.708 * [taylor]: Taking taylor expansion of y in x 0.708 * [taylor]: Taking taylor expansion of y in x 0.708 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.708 * [taylor]: Taking taylor expansion of x in y 0.708 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.708 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.708 * [taylor]: Taking taylor expansion of 1.0 in y 0.708 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.708 * [taylor]: Taking taylor expansion of y in y 0.709 * [taylor]: Taking taylor expansion of y in y 0.709 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.709 * [taylor]: Taking taylor expansion of x in y 0.709 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.709 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.709 * [taylor]: Taking taylor expansion of 1.0 in y 0.709 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.709 * [taylor]: Taking taylor expansion of y in y 0.709 * [taylor]: Taking taylor expansion of y in y 0.710 * [taylor]: Taking taylor expansion of 0 in x 0.712 * [taylor]: Taking taylor expansion of (- x) in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.716 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.716 * [taylor]: Taking taylor expansion of 1.0 in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.720 * [taylor]: Taking taylor expansion of 0 in x 0.724 * [taylor]: Taking taylor expansion of 0 in x 0.725 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.725 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (y x) around 0 0.726 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.726 * [taylor]: Taking taylor expansion of (* x y) in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.726 * [taylor]: Taking taylor expansion of y in x 0.726 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.726 * [taylor]: Taking taylor expansion of y in x 0.726 * [taylor]: Taking taylor expansion of 1.0 in x 0.726 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 0.726 * [taylor]: Taking taylor expansion of (* x y) in y 0.726 * [taylor]: Taking taylor expansion of x in y 0.726 * [taylor]: Taking taylor expansion of y in y 0.726 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.726 * [taylor]: Taking taylor expansion of y in y 0.726 * [taylor]: Taking taylor expansion of 1.0 in y 0.727 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 0.727 * [taylor]: Taking taylor expansion of (* x y) in y 0.727 * [taylor]: Taking taylor expansion of x in y 0.727 * [taylor]: Taking taylor expansion of y in y 0.727 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.727 * [taylor]: Taking taylor expansion of y in y 0.727 * [taylor]: Taking taylor expansion of 1.0 in y 0.728 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.728 * [taylor]: Taking taylor expansion of 1.0 in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of (- (* 1.0 x)) in x 0.731 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.731 * [taylor]: Taking taylor expansion of 1.0 in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.735 * [taylor]: Taking taylor expansion of 1.0 in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.737 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (y x) around 0 0.737 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.737 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.737 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.737 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.737 * [taylor]: Taking taylor expansion of y in x 0.737 * [taylor]: Taking taylor expansion of 1.0 in x 0.737 * [taylor]: Taking taylor expansion of y in x 0.738 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.738 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.738 * [taylor]: Taking taylor expansion of x in y 0.738 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.738 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.738 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.738 * [taylor]: Taking taylor expansion of y in y 0.739 * [taylor]: Taking taylor expansion of 1.0 in y 0.739 * [taylor]: Taking taylor expansion of y in y 0.741 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.741 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.741 * [taylor]: Taking taylor expansion of x in y 0.741 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.741 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.741 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.741 * [taylor]: Taking taylor expansion of y in y 0.741 * [taylor]: Taking taylor expansion of 1.0 in y 0.741 * [taylor]: Taking taylor expansion of y in y 0.743 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.744 * [taylor]: Taking taylor expansion of x in x 0.747 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x))) in x 0.747 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.747 * [taylor]: Taking taylor expansion of 1.0 in x 0.747 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.747 * [taylor]: Taking taylor expansion of x in x 0.751 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.751 * [taylor]: Taking taylor expansion of 1.0 in x 0.751 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.751 * [taylor]: Taking taylor expansion of x in x 0.753 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (y x) around 0 0.753 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.753 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.753 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.753 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.753 * [taylor]: Taking taylor expansion of 1.0 in x 0.753 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.753 * [taylor]: Taking taylor expansion of y in x 0.753 * [taylor]: Taking taylor expansion of y in x 0.755 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.755 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.755 * [taylor]: Taking taylor expansion of x in y 0.755 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.755 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.755 * [taylor]: Taking taylor expansion of 1.0 in y 0.755 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.755 * [taylor]: Taking taylor expansion of y in y 0.755 * [taylor]: Taking taylor expansion of y in y 0.758 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.758 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.758 * [taylor]: Taking taylor expansion of x in y 0.758 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.758 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.758 * [taylor]: Taking taylor expansion of 1.0 in y 0.758 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.759 * [taylor]: Taking taylor expansion of y in y 0.759 * [taylor]: Taking taylor expansion of y in y 0.762 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.762 * [taylor]: Taking taylor expansion of -1 in x 0.762 * [taylor]: Taking taylor expansion of x in x 0.766 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x))) in x 0.766 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.766 * [taylor]: Taking taylor expansion of 1.0 in x 0.766 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.766 * [taylor]: Taking taylor expansion of x in x 0.770 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x))) in x 0.771 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.771 * [taylor]: Taking taylor expansion of 1.0 in x 0.771 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.771 * [taylor]: Taking taylor expansion of x in x 0.773 * * * [progress]: simplifying candidates 0.775 * [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))) 0.782 * * [simplify]: iteration 0 : 376 enodes (cost 590 ) 0.791 * * [simplify]: iteration 1 : 1864 enodes (cost 504 ) 0.827 * * [simplify]: iteration 2 : 5001 enodes (cost 451 ) 0.830 * [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) 0.830 * * * [progress]: adding candidates to table 0.976 * * [progress]: iteration 4 / 4 0.976 * * * [progress]: picking best candidate 0.978 * * * * [pick]: Picked # 0.978 * * * [progress]: localizing error 0.986 * * * [progress]: generating rewritten candidates 0.986 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.003 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 1.025 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 1.044 * * * [progress]: generating series expansions 1.044 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.044 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 1.044 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 1.044 * [taylor]: Taking taylor expansion of (* x y) in y 1.044 * [taylor]: Taking taylor expansion of x in y 1.044 * [taylor]: Taking taylor expansion of y in y 1.044 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.045 * [taylor]: Taking taylor expansion of y in y 1.045 * [taylor]: Taking taylor expansion of 1.0 in y 1.046 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 1.046 * [taylor]: Taking taylor expansion of (* x y) in x 1.046 * [taylor]: Taking taylor expansion of x in x 1.046 * [taylor]: Taking taylor expansion of y in x 1.046 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 1.046 * [taylor]: Taking taylor expansion of y in x 1.046 * [taylor]: Taking taylor expansion of 1.0 in x 1.046 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 1.046 * [taylor]: Taking taylor expansion of (* x y) in x 1.046 * [taylor]: Taking taylor expansion of x in x 1.046 * [taylor]: Taking taylor expansion of y in x 1.046 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 1.046 * [taylor]: Taking taylor expansion of y in x 1.046 * [taylor]: Taking taylor expansion of 1.0 in x 1.047 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 1.047 * [taylor]: Taking taylor expansion of y in y 1.047 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.047 * [taylor]: Taking taylor expansion of y in y 1.047 * [taylor]: Taking taylor expansion of 1.0 in y 1.049 * [taylor]: Taking taylor expansion of 0 in y 1.052 * [taylor]: Taking taylor expansion of 0 in y 1.056 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 1.056 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 1.056 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 1.056 * [taylor]: Taking taylor expansion of x in y 1.057 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 1.057 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 1.057 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.057 * [taylor]: Taking taylor expansion of y in y 1.057 * [taylor]: Taking taylor expansion of 1.0 in y 1.057 * [taylor]: Taking taylor expansion of y in y 1.059 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 1.059 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.059 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 1.059 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 1.059 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.059 * [taylor]: Taking taylor expansion of y in x 1.059 * [taylor]: Taking taylor expansion of 1.0 in x 1.059 * [taylor]: Taking taylor expansion of y in x 1.060 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 1.060 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 1.060 * [taylor]: Taking taylor expansion of x in x 1.060 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 1.060 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 1.060 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.060 * [taylor]: Taking taylor expansion of y in x 1.060 * [taylor]: Taking taylor expansion of 1.0 in x 1.060 * [taylor]: Taking taylor expansion of y in x 1.061 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 1.061 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 1.061 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.061 * [taylor]: Taking taylor expansion of 1.0 in y 1.061 * [taylor]: Taking taylor expansion of y in y 1.062 * [taylor]: Taking taylor expansion of 1 in y 1.064 * [taylor]: Taking taylor expansion of 0 in y 1.069 * [taylor]: Taking taylor expansion of 0 in y 1.074 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (x y) around 0 1.074 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 1.074 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 1.074 * [taylor]: Taking taylor expansion of x in y 1.074 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 1.074 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 1.074 * [taylor]: Taking taylor expansion of 1.0 in y 1.074 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.074 * [taylor]: Taking taylor expansion of y in y 1.075 * [taylor]: Taking taylor expansion of y in y 1.077 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 1.077 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 1.077 * [taylor]: Taking taylor expansion of x in x 1.078 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 1.078 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 1.078 * [taylor]: Taking taylor expansion of 1.0 in x 1.078 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.078 * [taylor]: Taking taylor expansion of y in x 1.078 * [taylor]: Taking taylor expansion of y in x 1.079 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 1.080 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 1.080 * [taylor]: Taking taylor expansion of x in x 1.080 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 1.080 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 1.080 * [taylor]: Taking taylor expansion of 1.0 in x 1.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.080 * [taylor]: Taking taylor expansion of y in x 1.080 * [taylor]: Taking taylor expansion of y in x 1.081 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 1.081 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 1.081 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.081 * [taylor]: Taking taylor expansion of 1.0 in y 1.081 * [taylor]: Taking taylor expansion of y in y 1.081 * [taylor]: Taking taylor expansion of 1 in y 1.084 * [taylor]: Taking taylor expansion of 0 in y 1.090 * [taylor]: Taking taylor expansion of 0 in y 1.095 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.096 * [approximate]: Taking taylor expansion of (/ (+ y 1.0) (* x y)) in (x y) around 0 1.096 * [taylor]: Taking taylor expansion of (/ (+ y 1.0) (* x y)) in y 1.096 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.096 * [taylor]: Taking taylor expansion of y in y 1.096 * [taylor]: Taking taylor expansion of 1.0 in y 1.096 * [taylor]: Taking taylor expansion of (* x y) in y 1.096 * [taylor]: Taking taylor expansion of x in y 1.096 * [taylor]: Taking taylor expansion of y in y 1.097 * [taylor]: Taking taylor expansion of (/ (+ y 1.0) (* x y)) in x 1.097 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 1.097 * [taylor]: Taking taylor expansion of y in x 1.097 * [taylor]: Taking taylor expansion of 1.0 in x 1.097 * [taylor]: Taking taylor expansion of (* x y) in x 1.097 * [taylor]: Taking taylor expansion of x in x 1.097 * [taylor]: Taking taylor expansion of y in x 1.097 * [taylor]: Taking taylor expansion of (/ (+ y 1.0) (* x y)) in x 1.097 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 1.097 * [taylor]: Taking taylor expansion of y in x 1.097 * [taylor]: Taking taylor expansion of 1.0 in x 1.097 * [taylor]: Taking taylor expansion of (* x y) in x 1.097 * [taylor]: Taking taylor expansion of x in x 1.097 * [taylor]: Taking taylor expansion of y in x 1.098 * [taylor]: Taking taylor expansion of (/ (+ y 1.0) y) in y 1.098 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.098 * [taylor]: Taking taylor expansion of y in y 1.098 * [taylor]: Taking taylor expansion of 1.0 in y 1.098 * [taylor]: Taking taylor expansion of y in y 1.100 * [taylor]: Taking taylor expansion of 0 in y 1.102 * [taylor]: Taking taylor expansion of 0 in y 1.104 * [taylor]: Taking taylor expansion of 0 in y 1.107 * [taylor]: Taking taylor expansion of 0 in y 1.108 * [approximate]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in (x y) around 0 1.108 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 1.108 * [taylor]: Taking taylor expansion of x in y 1.108 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 1.108 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 1.108 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.108 * [taylor]: Taking taylor expansion of y in y 1.108 * [taylor]: Taking taylor expansion of 1.0 in y 1.108 * [taylor]: Taking taylor expansion of y in y 1.108 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 1.108 * [taylor]: Taking taylor expansion of x in x 1.108 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 1.108 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 1.108 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.108 * [taylor]: Taking taylor expansion of y in x 1.109 * [taylor]: Taking taylor expansion of 1.0 in x 1.109 * [taylor]: Taking taylor expansion of y in x 1.109 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 1.109 * [taylor]: Taking taylor expansion of x in x 1.109 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 1.109 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 1.109 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.109 * [taylor]: Taking taylor expansion of y in x 1.109 * [taylor]: Taking taylor expansion of 1.0 in x 1.109 * [taylor]: Taking taylor expansion of y in x 1.109 * [taylor]: Taking taylor expansion of 0 in y 1.110 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 1.110 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.110 * [taylor]: Taking taylor expansion of 1.0 in y 1.110 * [taylor]: Taking taylor expansion of y in y 1.110 * [taylor]: Taking taylor expansion of 1 in y 1.112 * [taylor]: Taking taylor expansion of 0 in y 1.114 * [taylor]: Taking taylor expansion of 0 in y 1.118 * [taylor]: Taking taylor expansion of 0 in y 1.122 * [taylor]: Taking taylor expansion of 0 in y 1.123 * [approximate]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in (x y) around 0 1.123 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 1.123 * [taylor]: Taking taylor expansion of x in y 1.123 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 1.123 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 1.123 * [taylor]: Taking taylor expansion of 1.0 in y 1.123 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.123 * [taylor]: Taking taylor expansion of y in y 1.123 * [taylor]: Taking taylor expansion of y in y 1.123 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.123 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 1.123 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 1.123 * [taylor]: Taking taylor expansion of 1.0 in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.123 * [taylor]: Taking taylor expansion of y in x 1.123 * [taylor]: Taking taylor expansion of y in x 1.124 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.124 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 1.124 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 1.124 * [taylor]: Taking taylor expansion of 1.0 in x 1.124 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.124 * [taylor]: Taking taylor expansion of y in x 1.124 * [taylor]: Taking taylor expansion of y in x 1.124 * [taylor]: Taking taylor expansion of 0 in y 1.125 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 1.125 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.125 * [taylor]: Taking taylor expansion of 1.0 in y 1.125 * [taylor]: Taking taylor expansion of y in y 1.125 * [taylor]: Taking taylor expansion of 1 in y 1.127 * [taylor]: Taking taylor expansion of 0 in y 1.130 * [taylor]: Taking taylor expansion of 0 in y 1.135 * [taylor]: Taking taylor expansion of 0 in y 1.139 * [taylor]: Taking taylor expansion of 0 in y 1.140 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 1.140 * [approximate]: Taking taylor expansion of (/ (+ y 1.0) y) in (y) around 0 1.140 * [taylor]: Taking taylor expansion of (/ (+ y 1.0) y) in y 1.140 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.140 * [taylor]: Taking taylor expansion of y in y 1.140 * [taylor]: Taking taylor expansion of 1.0 in y 1.140 * [taylor]: Taking taylor expansion of y in y 1.141 * [taylor]: Taking taylor expansion of (/ (+ y 1.0) y) in y 1.141 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.141 * [taylor]: Taking taylor expansion of y in y 1.141 * [taylor]: Taking taylor expansion of 1.0 in y 1.141 * [taylor]: Taking taylor expansion of y in y 1.155 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in (y) around 0 1.155 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 1.155 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 1.155 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.155 * [taylor]: Taking taylor expansion of y in y 1.155 * [taylor]: Taking taylor expansion of 1.0 in y 1.155 * [taylor]: Taking taylor expansion of y in y 1.155 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 1.155 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 1.155 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.155 * [taylor]: Taking taylor expansion of y in y 1.156 * [taylor]: Taking taylor expansion of 1.0 in y 1.156 * [taylor]: Taking taylor expansion of y in y 1.172 * [approximate]: Taking taylor expansion of (* -1 (* y (- 1.0 (/ 1 y)))) in (y) around 0 1.172 * [taylor]: Taking taylor expansion of (* -1 (* y (- 1.0 (/ 1 y)))) in y 1.172 * [taylor]: Taking taylor expansion of -1 in y 1.172 * [taylor]: Taking taylor expansion of (* y (- 1.0 (/ 1 y))) in y 1.172 * [taylor]: Taking taylor expansion of y in y 1.172 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 1.172 * [taylor]: Taking taylor expansion of 1.0 in y 1.172 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.172 * [taylor]: Taking taylor expansion of y in y 1.173 * [taylor]: Taking taylor expansion of (* -1 (* y (- 1.0 (/ 1 y)))) in y 1.173 * [taylor]: Taking taylor expansion of -1 in y 1.173 * [taylor]: Taking taylor expansion of (* y (- 1.0 (/ 1 y))) in y 1.173 * [taylor]: Taking taylor expansion of y in y 1.173 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 1.173 * [taylor]: Taking taylor expansion of 1.0 in y 1.173 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.173 * [taylor]: Taking taylor expansion of y in y 1.201 * * * [progress]: simplifying candidates 1.203 * [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) 1.213 * * [simplify]: iteration 0 : 634 enodes (cost 940 ) 1.227 * * [simplify]: iteration 1 : 3303 enodes (cost 755 ) 1.273 * * [simplify]: iteration 2 : 5001 enodes (cost 735 ) 1.277 * [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) 1.278 * * * [progress]: adding candidates to table 1.546 * [progress]: [Phase 3 of 3] Extracting. 1.546 * * [regime]: Finding splitpoints for: (# # #) 1.546 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.546 * * * * [regimes]: Trying to branch on y from (# # #) 1.565 * * * * [regimes]: Trying to branch on x from (# # #) 1.579 * * * [regime]: Found split indices: #