8.094 * [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 (+ x y)) 0.016 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.017 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.017 * [simplify]: Simplified to: (/ x (+ x y)) 0.018 * * [progress]: iteration 1 / 4 0.018 * * * [progress]: picking best candidate 0.019 * * * * [pick]: Picked # 0.019 * * * [progress]: localizing error 0.022 * * * [progress]: generating rewritten candidates 0.022 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.028 * * * [progress]: generating series expansions 0.028 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.028 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.028 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.028 * [taylor]: Taking taylor expansion of x in y 0.028 * [taylor]: Taking taylor expansion of (+ x y) in y 0.028 * [taylor]: Taking taylor expansion of x in y 0.028 * [taylor]: Taking taylor expansion of y in y 0.028 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of (+ x y) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of y in x 0.028 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of (+ x y) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of y in x 0.028 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.028 * [taylor]: Taking taylor expansion of y in y 0.029 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.029 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.029 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.030 * [taylor]: Taking taylor expansion of y in y 0.033 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.033 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.039 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.039 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.039 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.039 * [taylor]: Taking taylor expansion of x in y 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.040 * [taylor]: Taking taylor expansion of x in y 0.040 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.040 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.042 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of 1 in y 0.045 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.052 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.052 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.052 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.053 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) 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 x) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.055 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of 1 in y 0.058 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.070 * * * [progress]: simplifying candidates 0.071 * [simplify]: Simplifying using # : (- (log x) (log (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (/ (* (* x x) x) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (- x) (- (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (/ 1 1) (/ x (+ x y)) (/ 1 1) (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) (/ x 1) (/ x 1) (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0.074 * * [simplify]: iteration 0 : 118 enodes (cost 153 ) 0.077 * * [simplify]: iteration 1 : 378 enodes (cost 144 ) 0.082 * * [simplify]: iteration 2 : 1024 enodes (cost 144 ) 0.101 * * [simplify]: iteration 3 : 3620 enodes (cost 144 ) 0.150 * * [simplify]: iteration 4 : 5001 enodes (cost 144 ) 0.151 * [simplify]: Simplified to: (log (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (pow (/ x (+ x y)) 3) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (pow (/ x (+ x y)) 3) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (- x) (- (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (sqrt x) (/ (sqrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0.151 * * * [progress]: adding candidates to table 0.346 * * [progress]: iteration 2 / 4 0.346 * * * [progress]: picking best candidate 0.349 * * * * [pick]: Picked # 0.349 * * * [progress]: localizing error 0.353 * * * [progress]: generating rewritten candidates 0.353 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.362 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.374 * * * [progress]: generating series expansions 0.374 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.374 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.374 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.374 * [taylor]: Taking taylor expansion of x in y 0.374 * [taylor]: Taking taylor expansion of (+ x y) in y 0.374 * [taylor]: Taking taylor expansion of x in y 0.374 * [taylor]: Taking taylor expansion of y in y 0.374 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (+ x y) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (+ x y) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.375 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.375 * [taylor]: Taking taylor expansion of y in y 0.376 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.376 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.376 * [taylor]: Taking taylor expansion of y in y 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.379 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.386 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.386 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.386 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.386 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.386 * [taylor]: Taking taylor expansion of y in y 0.386 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.386 * [taylor]: Taking taylor expansion of x in y 0.386 * [taylor]: Taking taylor expansion of x in y 0.387 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.387 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.387 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.387 * [taylor]: Taking taylor expansion of y in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.388 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.388 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.388 * [taylor]: Taking taylor expansion of y in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of 1 in y 0.392 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.392 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.395 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.395 * [taylor]: Taking taylor expansion of y in y 0.399 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.399 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.399 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.399 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.399 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.399 * [taylor]: Taking taylor expansion of y in y 0.399 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.399 * [taylor]: Taking taylor expansion of x in y 0.399 * [taylor]: Taking taylor expansion of x in y 0.399 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.399 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.399 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.399 * [taylor]: Taking taylor expansion of y in x 0.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.401 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.401 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.401 * [taylor]: Taking taylor expansion of y in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of 1 in y 0.408 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.408 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.408 * [taylor]: Taking taylor expansion of y in y 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.412 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.412 * [taylor]: Taking taylor expansion of y in y 0.415 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.416 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (x y) around 0 0.416 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.416 * [taylor]: Taking taylor expansion of (+ x y) in y 0.416 * [taylor]: Taking taylor expansion of x in y 0.416 * [taylor]: Taking taylor expansion of y in y 0.416 * [taylor]: Taking taylor expansion of x in y 0.416 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.416 * [taylor]: Taking taylor expansion of (+ x y) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [taylor]: Taking taylor expansion of y in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.416 * [taylor]: Taking taylor expansion of (+ x y) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [taylor]: Taking taylor expansion of y in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [taylor]: Taking taylor expansion of y in y 0.417 * [taylor]: Taking taylor expansion of 1 in y 0.418 * [taylor]: Taking taylor expansion of 0 in y 0.419 * [taylor]: Taking taylor expansion of 0 in y 0.419 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.419 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.419 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.420 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.420 * [taylor]: Taking taylor expansion of x in y 0.420 * [taylor]: Taking taylor expansion of x in y 0.420 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.420 * [taylor]: Taking taylor expansion of y in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.420 * [taylor]: Taking taylor expansion of y in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of 0 in y 0.422 * [taylor]: Taking taylor expansion of 1 in y 0.423 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.425 * [taylor]: Taking taylor expansion of 0 in y 0.427 * [taylor]: Taking taylor expansion of 0 in y 0.427 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.428 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.428 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.428 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.428 * [taylor]: Taking taylor expansion of y in y 0.428 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.428 * [taylor]: Taking taylor expansion of x in y 0.428 * [taylor]: Taking taylor expansion of x in y 0.428 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.428 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.428 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.428 * [taylor]: Taking taylor expansion of y in x 0.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.428 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.428 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.428 * [taylor]: Taking taylor expansion of y in x 0.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.429 * [taylor]: Taking taylor expansion of 0 in y 0.430 * [taylor]: Taking taylor expansion of 1 in y 0.431 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.431 * [taylor]: Taking taylor expansion of y in y 0.433 * [taylor]: Taking taylor expansion of 0 in y 0.435 * [taylor]: Taking taylor expansion of 0 in y 0.436 * * * [progress]: simplifying candidates 0.438 * [simplify]: Simplifying using # : (- 1) (- (- (log (+ x y)) (log x))) (- (log (/ (+ x y) x))) (- 0 (- (log (+ x y)) (log x))) (- 0 (log (/ (+ x y) x))) (- (log 1) (- (log (+ x y)) (log x))) (- (log 1) (log (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (exp (/ 1 (/ (+ x y) x))) (/ (* (* 1 1) 1) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x))) (* (cbrt (/ 1 (/ (+ x y) x))) (cbrt (/ 1 (/ (+ x y) x)))) (cbrt (/ 1 (/ (+ x y) x))) (* (* (/ 1 (/ (+ x y) x)) (/ 1 (/ (+ x y) x))) (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (- 1) (- (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ (cbrt 1) (cbrt (/ (+ x y) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ x y) x))) (/ (cbrt 1) (sqrt (/ (+ x y) x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (cbrt (+ x y)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ (cbrt 1) (/ (cbrt (+ x y)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ (cbrt 1) (/ (cbrt (+ x y)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (sqrt (+ x y)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) (sqrt x))) (/ (cbrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) 1)) (/ (cbrt 1) (/ (sqrt (+ x y)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ x y) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ x y) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ x y) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ x y) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (+ x y)) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ (sqrt 1) (cbrt (/ (+ x y) x))) (/ (sqrt 1) (sqrt (/ (+ x y) x))) (/ (sqrt 1) (sqrt (/ (+ x y) x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (cbrt (+ x y)) (cbrt x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ (sqrt 1) (/ (cbrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ (sqrt 1) (/ (cbrt (+ x y)) x)) (/ (sqrt 1) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (sqrt (+ x y)) (cbrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) 1)) (/ (sqrt 1) (/ (sqrt (+ x y)) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ x y) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ x y) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ x y) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ x y) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) (+ x y)) (/ (sqrt 1) (/ 1 x)) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (cbrt (+ x y)) (cbrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ 1 (/ (cbrt (+ x y)) (sqrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ 1 (/ (cbrt (+ x y)) x)) (/ 1 (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ x y)) (cbrt x))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) 1)) (/ 1 (/ (sqrt (+ x y)) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ x y) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ x y) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ x y) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ x y) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ x y) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ x y) x)) (/ 1 1) (/ 1 (/ (+ x y) x)) (/ 1 (+ x y)) (/ 1 (/ 1 x)) (/ 1 (/ (+ x y) x)) (/ (/ (+ x y) x) 1) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ 1 (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (+ x y)) (/ (/ (+ x y) x) (cbrt 1)) (/ (/ (+ x y) x) (sqrt 1)) (/ (/ (+ x y) x) 1) (/ 1 (+ x y)) (- (log (+ x y)) (log x)) (log (/ (+ x y) x)) (exp (/ (+ x y) x)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x)) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x)) (* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (- (+ x y)) (- x) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ x y)) (cbrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x)) (/ (cbrt (+ x y)) (sqrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) x) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ x y)) (cbrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) (/ 1 1) (/ (+ x y) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) (/ 1 1) (/ (+ x y) x) (/ 1 x) (/ x (+ x y)) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (/ (+ x y) 1) (/ x (cbrt (+ x y))) (/ x (sqrt (+ x y))) (/ x (+ x y)) (/ x (+ x y)) (* x (+ (* x x) (- (* y y) (* x y)))) (* x (- x y)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.444 * * [simplify]: iteration 0 : 346 enodes (cost 800 ) 0.450 * * [simplify]: iteration 1 : 1531 enodes (cost 702 ) 0.471 * * [simplify]: iteration 2 : 5001 enodes (cost 612 ) 0.474 * [simplify]: Simplified to: (- 1) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (exp (/ 1 (/ (+ x y) x))) (/ 1 (pow (/ (+ x y) x) 3)) (/ 1 (pow (/ (+ x y) x) 3)) (* (cbrt (/ 1 (/ (+ x y) x))) (cbrt (/ 1 (/ (+ x y) x)))) (cbrt (/ 1 (/ (+ x y) x))) (/ 1 (pow (/ (+ x y) x) 3)) (sqrt (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (- 1) (- (/ (+ x y) x)) (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ x (+ x y)) (/ (+ x y) x) (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (sqrt x) 1 (* (cbrt x) (cbrt x)) (sqrt x) 1 1 (/ 1 (+ x y)) (/ (+ x y) x) (/ (+ x y) x) (/ (+ x y) x) (/ 1 (+ x y)) (log (/ (+ x y) x)) (log (/ (+ x y) x)) (exp (/ (+ x y) x)) (pow (/ (+ x y) x) 3) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x)) (pow (/ (+ x y) x) 3) (sqrt (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (- (+ x y)) (- x) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ x y)) (cbrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x)) (/ (cbrt (+ x y)) (sqrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) x) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ x y)) (cbrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (sqrt x)) (sqrt (+ x y)) (/ (sqrt (+ x y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) 1 (/ (+ x y) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) 1 (/ (+ x y) x) (/ 1 x) (/ x (+ x y)) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (+ x y) (/ x (cbrt (+ x y))) (/ x (sqrt (+ x y))) (/ x (+ x y)) (/ x (+ x y)) (* (+ (* y (- y x)) (* x x)) x) (* x (- x y)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.475 * * * [progress]: adding candidates to table 0.605 * * [progress]: iteration 3 / 4 0.605 * * * [progress]: picking best candidate 0.606 * * * * [pick]: Picked # 0.606 * * * [progress]: localizing error 0.610 * * * [progress]: generating rewritten candidates 0.611 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.624 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.634 * * * [progress]: generating series expansions 0.634 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.634 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in (y x) around 0 0.634 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in x 0.634 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 0.634 * [taylor]: Taking taylor expansion of (/ y x) in x 0.634 * [taylor]: Taking taylor expansion of y in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.634 * [taylor]: Taking taylor expansion of 1 in x 0.634 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in y 0.634 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.634 * [taylor]: Taking taylor expansion of (/ y x) in y 0.634 * [taylor]: Taking taylor expansion of y in y 0.634 * [taylor]: Taking taylor expansion of x in y 0.634 * [taylor]: Taking taylor expansion of 1 in y 0.635 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in y 0.635 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.635 * [taylor]: Taking taylor expansion of (/ y x) in y 0.635 * [taylor]: Taking taylor expansion of y in y 0.635 * [taylor]: Taking taylor expansion of x in y 0.635 * [taylor]: Taking taylor expansion of 1 in y 0.636 * [taylor]: Taking taylor expansion of 1 in x 0.636 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.636 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.638 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.642 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in (y x) around 0 0.642 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in x 0.642 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.642 * [taylor]: Taking taylor expansion of (/ x y) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of y in x 0.642 * [taylor]: Taking taylor expansion of 1 in x 0.643 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.643 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.643 * [taylor]: Taking taylor expansion of (/ x y) in y 0.643 * [taylor]: Taking taylor expansion of x in y 0.643 * [taylor]: Taking taylor expansion of y in y 0.643 * [taylor]: Taking taylor expansion of 1 in y 0.643 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.643 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.643 * [taylor]: Taking taylor expansion of (/ x y) in y 0.643 * [taylor]: Taking taylor expansion of x in y 0.643 * [taylor]: Taking taylor expansion of y in y 0.643 * [taylor]: Taking taylor expansion of 1 in y 0.643 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.644 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.649 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.658 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in (y x) around 0 0.658 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in x 0.658 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.658 * [taylor]: Taking taylor expansion of (/ x y) in x 0.658 * [taylor]: Taking taylor expansion of x in x 0.658 * [taylor]: Taking taylor expansion of y in x 0.658 * [taylor]: Taking taylor expansion of 1 in x 0.658 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.658 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.658 * [taylor]: Taking taylor expansion of (/ x y) in y 0.658 * [taylor]: Taking taylor expansion of x in y 0.658 * [taylor]: Taking taylor expansion of y in y 0.658 * [taylor]: Taking taylor expansion of 1 in y 0.658 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.658 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.658 * [taylor]: Taking taylor expansion of (/ x y) in y 0.659 * [taylor]: Taking taylor expansion of x in y 0.659 * [taylor]: Taking taylor expansion of y in y 0.659 * [taylor]: Taking taylor expansion of 1 in y 0.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.660 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.660 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.660 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.664 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.664 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.664 * [taylor]: Taking taylor expansion of x in x 0.670 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.671 * [approximate]: Taking taylor expansion of (+ (/ y x) 1) in (y x) around 0 0.671 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 0.671 * [taylor]: Taking taylor expansion of (/ y x) in x 0.671 * [taylor]: Taking taylor expansion of y in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.671 * [taylor]: Taking taylor expansion of 1 in x 0.671 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.671 * [taylor]: Taking taylor expansion of (/ y x) in y 0.671 * [taylor]: Taking taylor expansion of y in y 0.671 * [taylor]: Taking taylor expansion of x in y 0.671 * [taylor]: Taking taylor expansion of 1 in y 0.671 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.671 * [taylor]: Taking taylor expansion of (/ y x) in y 0.671 * [taylor]: Taking taylor expansion of y in y 0.671 * [taylor]: Taking taylor expansion of x in y 0.671 * [taylor]: Taking taylor expansion of 1 in y 0.671 * [taylor]: Taking taylor expansion of 1 in x 0.671 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of 0 in x 0.673 * [taylor]: Taking taylor expansion of 0 in x 0.674 * [taylor]: Taking taylor expansion of 0 in x 0.674 * [approximate]: Taking taylor expansion of (+ (/ x y) 1) in (y x) around 0 0.674 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.674 * [taylor]: Taking taylor expansion of (/ x y) in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.674 * [taylor]: Taking taylor expansion of y in x 0.674 * [taylor]: Taking taylor expansion of 1 in x 0.674 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.674 * [taylor]: Taking taylor expansion of (/ x y) in y 0.674 * [taylor]: Taking taylor expansion of x in y 0.674 * [taylor]: Taking taylor expansion of y in y 0.674 * [taylor]: Taking taylor expansion of 1 in y 0.674 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.674 * [taylor]: Taking taylor expansion of (/ x y) in y 0.674 * [taylor]: Taking taylor expansion of x in y 0.674 * [taylor]: Taking taylor expansion of y in y 0.674 * [taylor]: Taking taylor expansion of 1 in y 0.674 * [taylor]: Taking taylor expansion of x in x 0.675 * [taylor]: Taking taylor expansion of 1 in x 0.676 * [taylor]: Taking taylor expansion of 0 in x 0.677 * [taylor]: Taking taylor expansion of 0 in x 0.678 * [approximate]: Taking taylor expansion of (+ (/ x y) 1) in (y x) around 0 0.678 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.678 * [taylor]: Taking taylor expansion of (/ x y) in x 0.678 * [taylor]: Taking taylor expansion of x in x 0.678 * [taylor]: Taking taylor expansion of y in x 0.678 * [taylor]: Taking taylor expansion of 1 in x 0.678 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.678 * [taylor]: Taking taylor expansion of (/ x y) in y 0.678 * [taylor]: Taking taylor expansion of x in y 0.678 * [taylor]: Taking taylor expansion of y in y 0.678 * [taylor]: Taking taylor expansion of 1 in y 0.678 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.678 * [taylor]: Taking taylor expansion of (/ x y) in y 0.678 * [taylor]: Taking taylor expansion of x in y 0.678 * [taylor]: Taking taylor expansion of y in y 0.678 * [taylor]: Taking taylor expansion of 1 in y 0.678 * [taylor]: Taking taylor expansion of x in x 0.679 * [taylor]: Taking taylor expansion of 1 in x 0.680 * [taylor]: Taking taylor expansion of 0 in x 0.681 * [taylor]: Taking taylor expansion of 0 in x 0.681 * * * [progress]: simplifying candidates 0.682 * [simplify]: Simplifying using # : (- 1) (- (log (+ (/ y x) 1))) (- 0 (log (+ (/ y x) 1))) (- (log 1) (log (+ (/ y x) 1))) (log (/ 1 (+ (/ y x) 1))) (exp (/ 1 (+ (/ y x) 1))) (/ (* (* 1 1) 1) (* (* (+ (/ y x) 1) (+ (/ y x) 1)) (+ (/ y x) 1))) (* (cbrt (/ 1 (+ (/ y x) 1))) (cbrt (/ 1 (+ (/ y x) 1)))) (cbrt (/ 1 (+ (/ y x) 1))) (* (* (/ 1 (+ (/ y x) 1)) (/ 1 (+ (/ y x) 1))) (/ 1 (+ (/ y x) 1))) (sqrt (/ 1 (+ (/ y x) 1))) (sqrt (/ 1 (+ (/ y x) 1))) (- 1) (- (+ (/ y x) 1)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ (cbrt 1) (cbrt (+ (/ y x) 1))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ (/ y x) 1))) (/ (cbrt 1) (sqrt (+ (/ y x) 1))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ (/ y x) 1)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ (/ y x) 1)) (/ (sqrt 1) (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ (sqrt 1) (cbrt (+ (/ y x) 1))) (/ (sqrt 1) (sqrt (+ (/ y x) 1))) (/ (sqrt 1) (sqrt (+ (/ y x) 1))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ (/ y x) 1)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ (/ y x) 1)) (/ 1 (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ 1 (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 1) (/ 1 (+ (/ y x) 1)) (/ 1 1) (/ 1 (+ (/ y x) 1)) (/ 1 (+ (/ y x) 1)) (/ (+ (/ y x) 1) 1) (/ 1 (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 1) (/ 1 1) (/ (+ (/ y x) 1) (cbrt 1)) (/ (+ (/ y x) 1) (sqrt 1)) (/ (+ (/ y x) 1) 1) (/ 1 (+ (pow (/ y x) 3) (pow 1 3))) (/ 1 (- (* (/ y x) (/ y x)) (* 1 1))) (* (exp (/ y x)) (exp 1)) (log (+ (/ y x) 1)) (exp (+ (/ y x) 1)) (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1)) (* (* (+ (/ y x) 1) (+ (/ y x) 1)) (+ (/ y x) 1)) (sqrt (+ (/ y x) 1)) (sqrt (+ (/ y x) 1)) (+ (pow (/ y x) 3) (pow 1 3)) (+ (* (/ y x) (/ y x)) (- (* 1 1) (* (/ y x) 1))) (- (* (/ y x) (/ y x)) (* 1 1)) (- (/ y x) 1) (+ (/ y x) 1) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.686 * * [simplify]: iteration 0 : 146 enodes (cost 260 ) 0.689 * * [simplify]: iteration 1 : 703 enodes (cost 215 ) 0.696 * * [simplify]: iteration 2 : 1529 enodes (cost 214 ) 0.717 * * [simplify]: iteration 3 : 4174 enodes (cost 214 ) 0.841 * * [simplify]: iteration 4 : 5002 enodes (cost 214 ) 0.843 * [simplify]: Simplified to: (- 1) (log (/ 1 (+ (/ y x) 1))) (log (/ 1 (+ (/ y x) 1))) (log (/ 1 (+ (/ y x) 1))) (log (/ 1 (+ (/ y x) 1))) (exp (/ 1 (+ (/ y x) 1))) (pow (/ 1 (+ (/ y x) 1)) 3) (* (cbrt (/ 1 (+ (/ y x) 1))) (cbrt (/ 1 (+ (/ y x) 1)))) (cbrt (/ 1 (+ (/ y x) 1))) (pow (/ 1 (+ (/ y x) 1)) 3) (sqrt (/ 1 (+ (/ y x) 1))) (sqrt (/ 1 (+ (/ y x) 1))) (- 1) (- (+ (/ y x) 1)) (/ (/ 1 (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1))) (/ 1 (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) 1 (/ 1 (+ (/ y x) 1)) 1 (/ 1 (+ (/ y x) 1)) (/ (/ 1 (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1))) (/ 1 (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) 1 (/ 1 (+ (/ y x) 1)) 1 (/ 1 (+ (/ y x) 1)) (/ (/ 1 (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1))) (/ 1 (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) 1 (/ 1 (+ (/ y x) 1)) 1 (/ 1 (+ (/ y x) 1)) (/ 1 (+ (/ y x) 1)) (+ (/ y x) 1) (/ (/ 1 (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) 1 1 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) (/ 1 (+ (pow (/ y x) 3) 1)) (/ 1 (- (* (/ y x) (/ y x)) 1)) (exp (+ (/ y x) 1)) (log (+ (/ y x) 1)) (exp (+ (/ y x) 1)) (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1)) (pow (+ (/ y x) 1) 3) (sqrt (+ (/ y x) 1)) (sqrt (+ (/ y x) 1)) (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (- (/ y x) 1)) 1) (- (* (/ y x) (/ y x)) 1) (- (/ y x) 1) (+ (/ y x) 1) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.843 * * * [progress]: adding candidates to table 0.907 * [progress]: [Phase 3 of 3] Extracting. 0.908 * * [regime]: Finding splitpoints for: (# # #) 0.908 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ x y)) y x) 0.908 * * * * [regimes]: Trying to branch on (/ x (+ x y)) from (# # #) 0.922 * * * * [regimes]: Trying to branch on y from (# # #) 0.933 * * * * [regimes]: Trying to branch on x from (# # #) 0.945 * * * [regime]: Found split indices: #