10.112 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (/ (- x y) (- 1.0 y)) 0.017 * * [simplify]: iteration 0 : 12 enodes (cost 3 ) 0.018 * * [simplify]: iteration 1 : 16 enodes (cost 3 ) 0.020 * * [simplify]: iteration 2 : 18 enodes (cost 3 ) 0.021 * * [simplify]: iteration 3 : 18 enodes (cost 3 ) 0.021 * [simplify]: Simplified to: (/ (- x y) (- 1.0 y)) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.038 * * * [progress]: generating series expansions 0.039 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.039 * [approximate]: Taking taylor expansion of (/ (- x y) (- 1.0 y)) in (x y) around 0 0.039 * [taylor]: Taking taylor expansion of (/ (- x y) (- 1.0 y)) in y 0.039 * [taylor]: Taking taylor expansion of (- x y) in y 0.039 * [taylor]: Taking taylor expansion of x in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.039 * [taylor]: Taking taylor expansion of 1.0 in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of (/ (- x y) (- 1.0 y)) in x 0.040 * [taylor]: Taking taylor expansion of (- x y) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.040 * [taylor]: Taking taylor expansion of 1.0 in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of (/ (- x y) (- 1.0 y)) in x 0.040 * [taylor]: Taking taylor expansion of (- x y) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.040 * [taylor]: Taking taylor expansion of 1.0 in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of (* -1 (/ y (- 1.0 y))) in y 0.040 * [taylor]: Taking taylor expansion of -1 in y 0.040 * [taylor]: Taking taylor expansion of (/ y (- 1.0 y)) in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.041 * [taylor]: Taking taylor expansion of 1.0 in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 y)) in y 0.043 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.043 * [taylor]: Taking taylor expansion of 1.0 in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (- 1.0 (/ 1 y))) in (x y) around 0 0.047 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (- 1.0 (/ 1 y))) in y 0.047 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.047 * [taylor]: Taking taylor expansion of 1.0 in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (- 1.0 (/ 1 y))) in x 0.049 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.049 * [taylor]: Taking taylor expansion of 1.0 in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (- 1.0 (/ 1 y))) in x 0.050 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.050 * [taylor]: Taking taylor expansion of 1.0 in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in y 0.051 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.051 * [taylor]: Taking taylor expansion of 1.0 in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of (- (/ 1 (* y (- 1.0 (/ 1 y))))) in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 (* y (- 1.0 (/ 1 y)))) in y 0.053 * [taylor]: Taking taylor expansion of (* y (- 1.0 (/ 1 y))) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.053 * [taylor]: Taking taylor expansion of 1.0 in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [approximate]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in (x y) around 0 0.062 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in y 0.062 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.062 * [taylor]: Taking taylor expansion of x in y 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of 1.0 in y 0.064 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in x 0.064 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of 1.0 in x 0.065 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in x 0.065 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.066 * [taylor]: Taking taylor expansion of 1.0 in x 0.066 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) 1.0)) in y 0.066 * [taylor]: Taking taylor expansion of -1 in y 0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 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 1.0 in y 0.068 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in y 0.068 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.068 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.069 * [taylor]: Taking taylor expansion of 1.0 in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.076 * * * [progress]: simplifying candidates 0.077 * [simplify]: Simplifying using # : (expm1 (/ (- x y) (- 1.0 y))) (log1p (/ (- x y) (- 1.0 y))) (- (log (- x y)) (log (- 1.0 y))) (log (/ (- x y) (- 1.0 y))) (exp (/ (- x y) (- 1.0 y))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (- 1.0 y) (- 1.0 y)) (- 1.0 y))) (* (cbrt (/ (- x y) (- 1.0 y))) (cbrt (/ (- x y) (- 1.0 y)))) (cbrt (/ (- x y) (- 1.0 y))) (* (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (/ (- x y) (- 1.0 y))) (sqrt (/ (- x y) (- 1.0 y))) (sqrt (/ (- x y) (- 1.0 y))) (- (- x y)) (- (- 1.0 y)) (/ x (- 1.0 y)) (/ y (- 1.0 y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (cbrt (- x y)) (cbrt (- 1.0 y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt (- 1.0 y))) (/ (cbrt (- x y)) (sqrt (- 1.0 y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (/ (cbrt (- x y)) (- 1.0 y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (+ (sqrt 1.0) (sqrt y))) (/ (cbrt (- x y)) (- (sqrt 1.0) (sqrt y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (/ (cbrt (- x y)) (- 1.0 y)) (/ (sqrt (- x y)) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (sqrt (- x y)) (cbrt (- 1.0 y))) (/ (sqrt (- x y)) (sqrt (- 1.0 y))) (/ (sqrt (- x y)) (sqrt (- 1.0 y))) (/ (sqrt (- x y)) 1) (/ (sqrt (- x y)) (- 1.0 y)) (/ (sqrt (- x y)) (+ (sqrt 1.0) (sqrt y))) (/ (sqrt (- x y)) (- (sqrt 1.0) (sqrt y))) (/ (sqrt (- x y)) 1) (/ (sqrt (- x y)) (- 1.0 y)) (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (cbrt (- 1.0 y))) (/ 1 (sqrt (- 1.0 y))) (/ (- x y) (sqrt (- 1.0 y))) (/ 1 1) (/ (- x y) (- 1.0 y)) (/ 1 (+ (sqrt 1.0) (sqrt y))) (/ (- x y) (- (sqrt 1.0) (sqrt y))) (/ 1 1) (/ (- x y) (- 1.0 y)) (/ (+ (sqrt x) (sqrt y)) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- (sqrt x) (sqrt y)) (cbrt (- 1.0 y))) (/ (+ (sqrt x) (sqrt y)) (sqrt (- 1.0 y))) (/ (- (sqrt x) (sqrt y)) (sqrt (- 1.0 y))) (/ (+ (sqrt x) (sqrt y)) 1) (/ (- (sqrt x) (sqrt y)) (- 1.0 y)) (/ (+ (sqrt x) (sqrt y)) (+ (sqrt 1.0) (sqrt y))) (/ (- (sqrt x) (sqrt y)) (- (sqrt 1.0) (sqrt y))) (/ (+ (sqrt x) (sqrt y)) 1) (/ (- (sqrt x) (sqrt y)) (- 1.0 y)) (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (cbrt (- 1.0 y))) (/ 1 (sqrt (- 1.0 y))) (/ (- x y) (sqrt (- 1.0 y))) (/ 1 1) (/ (- x y) (- 1.0 y)) (/ 1 (+ (sqrt 1.0) (sqrt y))) (/ (- x y) (- (sqrt 1.0) (sqrt y))) (/ 1 1) (/ (- x y) (- 1.0 y)) (/ 1 (- 1.0 y)) (/ (- 1.0 y) (- x y)) (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (sqrt (- 1.0 y))) (/ (- x y) 1) (/ (- x y) (+ (sqrt 1.0) (sqrt y))) (/ (- x y) 1) (/ (- 1.0 y) (cbrt (- x y))) (/ (- 1.0 y) (sqrt (- x y))) (/ (- 1.0 y) (- x y)) (/ (- 1.0 y) (- (sqrt x) (sqrt y))) (/ (- 1.0 y) (- x y)) (/ (- x y) (- (pow 1.0 3) (pow y 3))) (/ (- x y) (- (* 1.0 1.0) (* y y))) (* (- 1.0 y) (+ (* x x) (+ (* y y) (* x y)))) (* (- 1.0 y) (+ x y)) (- (+ (* 1.0 x) (* 1.0 (* x y))) (* 1.0 y)) (- (+ (* 1.0 (/ 1 y)) 1) (/ x y)) (- (+ (* 1.0 (/ 1 y)) 1) (/ x y)) 0.082 * * [simplify]: iteration 0 : 259 enodes (cost 377 ) 0.086 * * [simplify]: iteration 1 : 714 enodes (cost 359 ) 0.097 * * [simplify]: iteration 2 : 2580 enodes (cost 358 ) 0.131 * * [simplify]: iteration 3 : 5001 enodes (cost 358 ) 0.134 * [simplify]: Simplified to: (expm1 (/ (- x y) (- 1.0 y))) (log1p (/ (- x y) (- 1.0 y))) (log (/ (- x y) (- 1.0 y))) (log (/ (- x y) (- 1.0 y))) (exp (/ (- x y) (- 1.0 y))) (pow (/ (- x y) (- 1.0 y)) 3) (* (cbrt (/ (- x y) (- 1.0 y))) (cbrt (/ (- x y) (- 1.0 y)))) (cbrt (/ (- x y) (- 1.0 y))) (pow (/ (- x y) (- 1.0 y)) 3) (sqrt (/ (- x y) (- 1.0 y))) (sqrt (/ (- x y) (- 1.0 y))) (- (- x y)) (- (- 1.0 y)) (/ x (- 1.0 y)) (/ y (- 1.0 y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (cbrt (- x y)) (cbrt (- 1.0 y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt (- 1.0 y))) (/ (cbrt (- x y)) (sqrt (- 1.0 y))) (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (- 1.0 y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (+ (sqrt 1.0) (sqrt y))) (/ (cbrt (- x y)) (- (sqrt 1.0) (sqrt y))) (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (- 1.0 y)) (/ (sqrt (- x y)) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (sqrt (- x y)) (cbrt (- 1.0 y))) (/ (sqrt (- x y)) (sqrt (- 1.0 y))) (/ (sqrt (- x y)) (sqrt (- 1.0 y))) (sqrt (- x y)) (/ (sqrt (- x y)) (- 1.0 y)) (/ (sqrt (- x y)) (+ (sqrt 1.0) (sqrt y))) (/ (sqrt (- x y)) (- (sqrt 1.0) (sqrt y))) (sqrt (- x y)) (/ (sqrt (- x y)) (- 1.0 y)) (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (cbrt (- 1.0 y))) (/ 1 (sqrt (- 1.0 y))) (/ (- x y) (sqrt (- 1.0 y))) 1 (/ (- x y) (- 1.0 y)) (/ 1 (+ (sqrt 1.0) (sqrt y))) (/ (- x y) (- (sqrt 1.0) (sqrt y))) 1 (/ (- x y) (- 1.0 y)) (/ (+ (sqrt x) (sqrt y)) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- (sqrt x) (sqrt y)) (cbrt (- 1.0 y))) (/ (+ (sqrt x) (sqrt y)) (sqrt (- 1.0 y))) (/ (- (sqrt x) (sqrt y)) (sqrt (- 1.0 y))) (+ (sqrt x) (sqrt y)) (/ (- (sqrt x) (sqrt y)) (- 1.0 y)) (/ (+ (sqrt x) (sqrt y)) (+ (sqrt 1.0) (sqrt y))) (/ (- (sqrt x) (sqrt y)) (- (sqrt 1.0) (sqrt y))) (+ (sqrt x) (sqrt y)) (/ (- (sqrt x) (sqrt y)) (- 1.0 y)) (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (cbrt (- 1.0 y))) (/ 1 (sqrt (- 1.0 y))) (/ (- x y) (sqrt (- 1.0 y))) 1 (/ (- x y) (- 1.0 y)) (/ 1 (+ (sqrt 1.0) (sqrt y))) (/ (- x y) (- (sqrt 1.0) (sqrt y))) 1 (/ (- x y) (- 1.0 y)) (/ 1 (- 1.0 y)) (/ (- 1.0 y) (- x y)) (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (sqrt (- 1.0 y))) (- x y) (/ (- x y) (+ (sqrt 1.0) (sqrt y))) (- x y) (/ (- 1.0 y) (cbrt (- x y))) (/ (- 1.0 y) (sqrt (- x y))) (/ (- 1.0 y) (- x y)) (/ (- 1.0 y) (- (sqrt x) (sqrt y))) (/ (- 1.0 y) (- x y)) (/ (- x y) (- (pow 1.0 3) (pow y 3))) (/ (- x y) (- (* 1.0 1.0) (* y y))) (* (fma x x (fma y y (* x y))) (- 1.0 y)) (* (- 1.0 y) (+ x y)) (* 1.0 (- (fma y x x) y)) (fma 1.0 (/ 1 y) (- 1 (/ x y))) (fma 1.0 (/ 1 y) (- 1 (/ x y))) 0.134 * * * [progress]: adding candidates to table 0.398 * * [progress]: iteration 2 / 4 0.398 * * * [progress]: picking best candidate 0.400 * * * * [pick]: Picked # 0.400 * * * [progress]: localizing error 0.405 * * * [progress]: generating rewritten candidates 0.405 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.412 * * * [progress]: generating series expansions 0.412 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.413 * [approximate]: Taking taylor expansion of (/ x (- 1.0 y)) in (x y) around 0 0.413 * [taylor]: Taking taylor expansion of (/ x (- 1.0 y)) in y 0.413 * [taylor]: Taking taylor expansion of x in y 0.413 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.413 * [taylor]: Taking taylor expansion of 1.0 in y 0.413 * [taylor]: Taking taylor expansion of y in y 0.413 * [taylor]: Taking taylor expansion of (/ x (- 1.0 y)) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.413 * [taylor]: Taking taylor expansion of 1.0 in x 0.413 * [taylor]: Taking taylor expansion of y in x 0.414 * [taylor]: Taking taylor expansion of (/ x (- 1.0 y)) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.414 * [taylor]: Taking taylor expansion of 1.0 in x 0.414 * [taylor]: Taking taylor expansion of y in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 y)) in y 0.414 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.414 * [taylor]: Taking taylor expansion of 1.0 in y 0.414 * [taylor]: Taking taylor expansion of y in y 0.415 * [taylor]: Taking taylor expansion of 0 in y 0.418 * [taylor]: Taking taylor expansion of 0 in y 0.420 * [approximate]: Taking taylor expansion of (/ 1 (* x (- 1.0 (/ 1 y)))) in (x y) around 0 0.420 * [taylor]: Taking taylor expansion of (/ 1 (* x (- 1.0 (/ 1 y)))) in y 0.420 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 y))) in y 0.420 * [taylor]: Taking taylor expansion of x in y 0.420 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.420 * [taylor]: Taking taylor expansion of 1.0 in y 0.420 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.421 * [taylor]: Taking taylor expansion of y in y 0.421 * [taylor]: Taking taylor expansion of (/ 1 (* x (- 1.0 (/ 1 y)))) in x 0.421 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 y))) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.421 * [taylor]: Taking taylor expansion of 1.0 in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.421 * [taylor]: Taking taylor expansion of y in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 (* x (- 1.0 (/ 1 y)))) in x 0.422 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 y))) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.422 * [taylor]: Taking taylor expansion of 1.0 in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.422 * [taylor]: Taking taylor expansion of y in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in y 0.423 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.423 * [taylor]: Taking taylor expansion of 1.0 in y 0.424 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.424 * [taylor]: Taking taylor expansion of y in y 0.426 * [taylor]: Taking taylor expansion of 0 in y 0.430 * [taylor]: Taking taylor expansion of 0 in y 0.434 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 y) 1.0))) in (x y) around 0 0.434 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 y) 1.0))) in y 0.434 * [taylor]: Taking taylor expansion of -1 in y 0.434 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) 1.0)) in y 0.434 * [taylor]: Taking taylor expansion of x in y 0.434 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.434 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.434 * [taylor]: Taking taylor expansion of y in y 0.435 * [taylor]: Taking taylor expansion of 1.0 in y 0.435 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 y) 1.0))) in x 0.435 * [taylor]: Taking taylor expansion of -1 in x 0.435 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) 1.0)) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.435 * [taylor]: Taking taylor expansion of y in x 0.435 * [taylor]: Taking taylor expansion of 1.0 in x 0.436 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 y) 1.0))) in x 0.436 * [taylor]: Taking taylor expansion of -1 in x 0.436 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) 1.0)) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.436 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.436 * [taylor]: Taking taylor expansion of y in x 0.436 * [taylor]: Taking taylor expansion of 1.0 in x 0.437 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) 1.0)) in y 0.437 * [taylor]: Taking taylor expansion of -1 in y 0.437 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.437 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.437 * [taylor]: Taking taylor expansion of y in y 0.437 * [taylor]: Taking taylor expansion of 1.0 in y 0.439 * [taylor]: Taking taylor expansion of 0 in y 0.443 * [taylor]: Taking taylor expansion of 0 in y 0.447 * * * [progress]: simplifying candidates 0.447 * [simplify]: Simplifying using # : (expm1 (/ x (- 1.0 y))) (log1p (/ x (- 1.0 y))) (- (log x) (log (- 1.0 y))) (log (/ x (- 1.0 y))) (exp (/ x (- 1.0 y))) (/ (* (* x x) x) (* (* (- 1.0 y) (- 1.0 y)) (- 1.0 y))) (* (cbrt (/ x (- 1.0 y))) (cbrt (/ x (- 1.0 y)))) (cbrt (/ x (- 1.0 y))) (* (* (/ x (- 1.0 y)) (/ x (- 1.0 y))) (/ x (- 1.0 y))) (sqrt (/ x (- 1.0 y))) (sqrt (/ x (- 1.0 y))) (- x) (- (- 1.0 y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (cbrt x) (cbrt (- 1.0 y))) (/ (* (cbrt x) (cbrt x)) (sqrt (- 1.0 y))) (/ (cbrt x) (sqrt (- 1.0 y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (- 1.0 y)) (/ (* (cbrt x) (cbrt x)) (+ (sqrt 1.0) (sqrt y))) (/ (cbrt x) (- (sqrt 1.0) (sqrt y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (- 1.0 y)) (/ (sqrt x) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (sqrt x) (cbrt (- 1.0 y))) (/ (sqrt x) (sqrt (- 1.0 y))) (/ (sqrt x) (sqrt (- 1.0 y))) (/ (sqrt x) 1) (/ (sqrt x) (- 1.0 y)) (/ (sqrt x) (+ (sqrt 1.0) (sqrt y))) (/ (sqrt x) (- (sqrt 1.0) (sqrt y))) (/ (sqrt x) 1) (/ (sqrt x) (- 1.0 y)) (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ x (cbrt (- 1.0 y))) (/ 1 (sqrt (- 1.0 y))) (/ x (sqrt (- 1.0 y))) (/ 1 1) (/ x (- 1.0 y)) (/ 1 (+ (sqrt 1.0) (sqrt y))) (/ x (- (sqrt 1.0) (sqrt y))) (/ 1 1) (/ x (- 1.0 y)) (/ 1 (- 1.0 y)) (/ (- 1.0 y) x) (/ x (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ x (sqrt (- 1.0 y))) (/ x 1) (/ x (+ (sqrt 1.0) (sqrt y))) (/ x 1) (/ (- 1.0 y) (cbrt x)) (/ (- 1.0 y) (sqrt x)) (/ (- 1.0 y) x) (/ x (- (pow 1.0 3) (pow y 3))) (/ x (- (* 1.0 1.0) (* y y))) (+ (* 1.0 (* x (pow y 2))) (+ (* 1.0 x) (* 1.0 (* x y)))) (- (+ (* 1.0 (/ x (pow y 3))) (+ (/ x y) (* 1.0 (/ x (pow y 2)))))) (- (+ (* 1.0 (/ x (pow y 3))) (+ (/ x y) (* 1.0 (/ x (pow y 2)))))) 0.455 * * [simplify]: iteration 0 : 184 enodes (cost 220 ) 0.458 * * [simplify]: iteration 1 : 607 enodes (cost 208 ) 0.469 * * [simplify]: iteration 2 : 2507 enodes (cost 206 ) 0.517 * * [simplify]: iteration 3 : 5001 enodes (cost 206 ) 0.519 * [simplify]: Simplified to: (expm1 (/ x (- 1.0 y))) (log1p (/ x (- 1.0 y))) (log (/ x (- 1.0 y))) (log (/ x (- 1.0 y))) (exp (/ x (- 1.0 y))) (pow (/ x (- 1.0 y)) 3) (* (cbrt (/ x (- 1.0 y))) (cbrt (/ x (- 1.0 y)))) (cbrt (/ x (- 1.0 y))) (pow (/ x (- 1.0 y)) 3) (sqrt (/ x (- 1.0 y))) (sqrt (/ x (- 1.0 y))) (- x) (- (- 1.0 y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (cbrt x) (cbrt (- 1.0 y))) (/ (* (cbrt x) (cbrt x)) (sqrt (- 1.0 y))) (/ (cbrt x) (sqrt (- 1.0 y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (- 1.0 y)) (/ (* (cbrt x) (cbrt x)) (+ (sqrt 1.0) (sqrt y))) (/ (cbrt x) (- (sqrt 1.0) (sqrt y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (- 1.0 y)) (/ (sqrt x) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (sqrt x) (cbrt (- 1.0 y))) (/ (sqrt x) (sqrt (- 1.0 y))) (/ (sqrt x) (sqrt (- 1.0 y))) (sqrt x) (/ (sqrt x) (- 1.0 y)) (/ (sqrt x) (+ (sqrt 1.0) (sqrt y))) (/ (sqrt x) (- (sqrt 1.0) (sqrt y))) (sqrt x) (/ (sqrt x) (- 1.0 y)) (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ x (cbrt (- 1.0 y))) (/ 1 (sqrt (- 1.0 y))) (/ x (sqrt (- 1.0 y))) 1 (/ x (- 1.0 y)) (/ 1 (+ (sqrt 1.0) (sqrt y))) (/ x (- (sqrt 1.0) (sqrt y))) 1 (/ x (- 1.0 y)) (/ 1 (- 1.0 y)) (/ (- 1.0 y) x) (/ x (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ x (sqrt (- 1.0 y))) x (/ x (+ (sqrt 1.0) (sqrt y))) x (/ (- 1.0 y) (cbrt x)) (/ (- 1.0 y) (sqrt x)) (/ (- 1.0 y) x) (/ x (- (pow 1.0 3) (pow y 3))) (/ x (- (* 1.0 1.0) (* y y))) (* (fma (pow y 2) x (fma y x x)) 1.0) (- (- (* 1.0 (/ x (pow y 3)))) (fma 1.0 (/ x (pow y 2)) (/ x y))) (- (- (* 1.0 (/ x (pow y 3)))) (fma 1.0 (/ x (pow y 2)) (/ x y))) 0.519 * * * [progress]: adding candidates to table 0.584 * * [progress]: iteration 3 / 4 0.584 * * * [progress]: picking best candidate 0.586 * * * * [pick]: Picked # 0.586 * * * [progress]: localizing error 0.592 * * * [progress]: generating rewritten candidates 0.592 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.605 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.615 * * * [progress]: generating series expansions 0.615 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.615 * [approximate]: Taking taylor expansion of (/ (- x y) (- 1.0 y)) in (x y) around 0 0.615 * [taylor]: Taking taylor expansion of (/ (- x y) (- 1.0 y)) in y 0.615 * [taylor]: Taking taylor expansion of (- x y) in y 0.615 * [taylor]: Taking taylor expansion of x in y 0.615 * [taylor]: Taking taylor expansion of y in y 0.615 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.615 * [taylor]: Taking taylor expansion of 1.0 in y 0.615 * [taylor]: Taking taylor expansion of y in y 0.616 * [taylor]: Taking taylor expansion of (/ (- x y) (- 1.0 y)) in x 0.616 * [taylor]: Taking taylor expansion of (- x y) in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.616 * [taylor]: Taking taylor expansion of y in x 0.616 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.616 * [taylor]: Taking taylor expansion of 1.0 in x 0.616 * [taylor]: Taking taylor expansion of y in x 0.616 * [taylor]: Taking taylor expansion of (/ (- x y) (- 1.0 y)) in x 0.616 * [taylor]: Taking taylor expansion of (- x y) in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.616 * [taylor]: Taking taylor expansion of y in x 0.616 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.616 * [taylor]: Taking taylor expansion of 1.0 in x 0.616 * [taylor]: Taking taylor expansion of y in x 0.617 * [taylor]: Taking taylor expansion of (* -1 (/ y (- 1.0 y))) in y 0.617 * [taylor]: Taking taylor expansion of -1 in y 0.617 * [taylor]: Taking taylor expansion of (/ y (- 1.0 y)) in y 0.617 * [taylor]: Taking taylor expansion of y in y 0.617 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.617 * [taylor]: Taking taylor expansion of 1.0 in y 0.617 * [taylor]: Taking taylor expansion of y in y 0.619 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 y)) in y 0.619 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.619 * [taylor]: Taking taylor expansion of 1.0 in y 0.619 * [taylor]: Taking taylor expansion of y in y 0.621 * [taylor]: Taking taylor expansion of 0 in y 0.623 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (- 1.0 (/ 1 y))) in (x y) around 0 0.623 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (- 1.0 (/ 1 y))) in y 0.623 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.623 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.623 * [taylor]: Taking taylor expansion of x in y 0.623 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.623 * [taylor]: Taking taylor expansion of y in y 0.624 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.624 * [taylor]: Taking taylor expansion of 1.0 in y 0.624 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.624 * [taylor]: Taking taylor expansion of y in y 0.625 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (- 1.0 (/ 1 y))) in x 0.625 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.625 * [taylor]: Taking taylor expansion of y in x 0.625 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.625 * [taylor]: Taking taylor expansion of 1.0 in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.625 * [taylor]: Taking taylor expansion of y in x 0.626 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (- 1.0 (/ 1 y))) in x 0.626 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.626 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.626 * [taylor]: Taking taylor expansion of y in x 0.626 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.626 * [taylor]: Taking taylor expansion of 1.0 in x 0.626 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.626 * [taylor]: Taking taylor expansion of y in x 0.627 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in y 0.627 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.627 * [taylor]: Taking taylor expansion of 1.0 in y 0.627 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.627 * [taylor]: Taking taylor expansion of y in y 0.629 * [taylor]: Taking taylor expansion of (- (/ 1 (* y (- 1.0 (/ 1 y))))) in y 0.629 * [taylor]: Taking taylor expansion of (/ 1 (* y (- 1.0 (/ 1 y)))) in y 0.629 * [taylor]: Taking taylor expansion of (* y (- 1.0 (/ 1 y))) in y 0.629 * [taylor]: Taking taylor expansion of y in y 0.629 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.629 * [taylor]: Taking taylor expansion of 1.0 in y 0.629 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.629 * [taylor]: Taking taylor expansion of y in y 0.634 * [taylor]: Taking taylor expansion of 0 in y 0.639 * [approximate]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in (x y) around 0 0.639 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in y 0.639 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.639 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.639 * [taylor]: Taking taylor expansion of y in y 0.639 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.639 * [taylor]: Taking taylor expansion of x in y 0.639 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.639 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.639 * [taylor]: Taking taylor expansion of y in y 0.639 * [taylor]: Taking taylor expansion of 1.0 in y 0.640 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in x 0.640 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.640 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.640 * [taylor]: Taking taylor expansion of y in x 0.640 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.640 * [taylor]: Taking taylor expansion of x in x 0.641 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.641 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.641 * [taylor]: Taking taylor expansion of y in x 0.641 * [taylor]: Taking taylor expansion of 1.0 in x 0.641 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in x 0.641 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.641 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.641 * [taylor]: Taking taylor expansion of y in x 0.641 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.642 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.642 * [taylor]: Taking taylor expansion of y in x 0.642 * [taylor]: Taking taylor expansion of 1.0 in x 0.642 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) 1.0)) in y 0.642 * [taylor]: Taking taylor expansion of -1 in y 0.643 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.643 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.643 * [taylor]: Taking taylor expansion of y in y 0.643 * [taylor]: Taking taylor expansion of 1.0 in y 0.644 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in y 0.644 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.645 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.645 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.645 * [taylor]: Taking taylor expansion of y in y 0.645 * [taylor]: Taking taylor expansion of 1.0 in y 0.645 * [taylor]: Taking taylor expansion of y in y 0.648 * [taylor]: Taking taylor expansion of 0 in y 0.653 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.653 * [approximate]: Taking taylor expansion of (/ 1 (- 1.0 y)) in (y) around 0 0.653 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 y)) in y 0.653 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.653 * [taylor]: Taking taylor expansion of 1.0 in y 0.653 * [taylor]: Taking taylor expansion of y in y 0.654 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 y)) in y 0.654 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.654 * [taylor]: Taking taylor expansion of 1.0 in y 0.654 * [taylor]: Taking taylor expansion of y in y 0.659 * [approximate]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in (y) around 0 0.659 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in y 0.659 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.659 * [taylor]: Taking taylor expansion of 1.0 in y 0.659 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.659 * [taylor]: Taking taylor expansion of y in y 0.660 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in y 0.660 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.660 * [taylor]: Taking taylor expansion of 1.0 in y 0.660 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.660 * [taylor]: Taking taylor expansion of y in y 0.674 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in (y) around 0 0.674 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.674 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.674 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.674 * [taylor]: Taking taylor expansion of y in y 0.674 * [taylor]: Taking taylor expansion of 1.0 in y 0.674 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.674 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.675 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.675 * [taylor]: Taking taylor expansion of y in y 0.675 * [taylor]: Taking taylor expansion of 1.0 in y 0.681 * * * [progress]: simplifying candidates 0.683 * [simplify]: Simplifying using # : (expm1 (* (- x y) (/ 1 (- 1.0 y)))) (log1p (* (- x y) (/ 1 (- 1.0 y)))) (* (- x y) (/ 1 (- 1.0 y))) (+ (log (- x y)) (- (log (- 1.0 y)))) (+ (log (- x y)) (- 0 (log (- 1.0 y)))) (+ (log (- x y)) (- (log 1) (log (- 1.0 y)))) (+ (log (- x y)) (log (/ 1 (- 1.0 y)))) (log (* (- x y) (/ 1 (- 1.0 y)))) (exp (* (- x y) (/ 1 (- 1.0 y)))) (* (* (* (- x y) (- x y)) (- x y)) (/ (* (* 1 1) 1) (* (* (- 1.0 y) (- 1.0 y)) (- 1.0 y)))) (* (* (* (- x y) (- x y)) (- x y)) (* (* (/ 1 (- 1.0 y)) (/ 1 (- 1.0 y))) (/ 1 (- 1.0 y)))) (* (cbrt (* (- x y) (/ 1 (- 1.0 y)))) (cbrt (* (- x y) (/ 1 (- 1.0 y))))) (cbrt (* (- x y) (/ 1 (- 1.0 y)))) (* (* (* (- x y) (/ 1 (- 1.0 y))) (* (- x y) (/ 1 (- 1.0 y)))) (* (- x y) (/ 1 (- 1.0 y)))) (sqrt (* (- x y) (/ 1 (- 1.0 y)))) (sqrt (* (- x y) (/ 1 (- 1.0 y)))) (* (- (pow x 3) (pow y 3)) 1) (* (+ (* x x) (+ (* y y) (* x y))) (- 1.0 y)) (* (- (* x x) (* y y)) 1) (* (+ x y) (- 1.0 y)) (* (sqrt (- x y)) (sqrt (/ 1 (- 1.0 y)))) (* (sqrt (- x y)) (sqrt (/ 1 (- 1.0 y)))) (* (sqrt (- x y)) (/ (sqrt 1) (sqrt (- 1.0 y)))) (* (sqrt (- x y)) (/ (sqrt 1) (sqrt (- 1.0 y)))) (* (sqrt (- x y)) (/ 1 (sqrt (- 1.0 y)))) (* (sqrt (- x y)) (/ 1 (sqrt (- 1.0 y)))) (* (- x y) (* (cbrt (/ 1 (- 1.0 y))) (cbrt (/ 1 (- 1.0 y))))) (* (- x y) (sqrt (/ 1 (- 1.0 y)))) (* (- x y) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))) (* (- x y) (/ (* (cbrt 1) (cbrt 1)) (sqrt (- 1.0 y)))) (* (- x y) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (- x y) (/ (* (cbrt 1) (cbrt 1)) (+ (sqrt 1.0) (sqrt y)))) (* (- x y) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (- x y) (/ (sqrt 1) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))) (* (- x y) (/ (sqrt 1) (sqrt (- 1.0 y)))) (* (- x y) (/ (sqrt 1) 1)) (* (- x y) (/ (sqrt 1) (+ (sqrt 1.0) (sqrt y)))) (* (- x y) (/ (sqrt 1) 1)) (* (- x y) (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))) (* (- x y) (/ 1 (sqrt (- 1.0 y)))) (* (- x y) (/ 1 1)) (* (- x y) (/ 1 (+ (sqrt 1.0) (sqrt y)))) (* (- x y) (/ 1 1)) (* (- x y) 1) (* (- x y) 1) (* (- x y) (/ 1 (- (pow 1.0 3) (pow y 3)))) (* (- x y) (/ 1 (- (* 1.0 1.0) (* y y)))) (* (cbrt (- x y)) (/ 1 (- 1.0 y))) (* (sqrt (- x y)) (/ 1 (- 1.0 y))) (* (- x y) (/ 1 (- 1.0 y))) (* (- (sqrt x) (sqrt y)) (/ 1 (- 1.0 y))) (* (- x y) (/ 1 (- 1.0 y))) (* (- x y) 1) (* (- (pow x 3) (pow y 3)) (/ 1 (- 1.0 y))) (* (- (* x x) (* y y)) (/ 1 (- 1.0 y))) (expm1 (/ 1 (- 1.0 y))) (log1p (/ 1 (- 1.0 y))) (- 1) (- (log (- 1.0 y))) (- 0 (log (- 1.0 y))) (- (log 1) (log (- 1.0 y))) (log (/ 1 (- 1.0 y))) (exp (/ 1 (- 1.0 y))) (/ (* (* 1 1) 1) (* (* (- 1.0 y) (- 1.0 y)) (- 1.0 y))) (* (cbrt (/ 1 (- 1.0 y))) (cbrt (/ 1 (- 1.0 y)))) (cbrt (/ 1 (- 1.0 y))) (* (* (/ 1 (- 1.0 y)) (/ 1 (- 1.0 y))) (/ 1 (- 1.0 y))) (sqrt (/ 1 (- 1.0 y))) (sqrt (/ 1 (- 1.0 y))) (- 1) (- (- 1.0 y)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (cbrt 1) (cbrt (- 1.0 y))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (- 1.0 y))) (/ (cbrt 1) (sqrt (- 1.0 y))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- 1.0 y)) (/ (* (cbrt 1) (cbrt 1)) (+ (sqrt 1.0) (sqrt y))) (/ (cbrt 1) (- (sqrt 1.0) (sqrt y))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- 1.0 y)) (/ (sqrt 1) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (sqrt 1) (cbrt (- 1.0 y))) (/ (sqrt 1) (sqrt (- 1.0 y))) (/ (sqrt 1) (sqrt (- 1.0 y))) (/ (sqrt 1) 1) (/ (sqrt 1) (- 1.0 y)) (/ (sqrt 1) (+ (sqrt 1.0) (sqrt y))) (/ (sqrt 1) (- (sqrt 1.0) (sqrt y))) (/ (sqrt 1) 1) (/ (sqrt 1) (- 1.0 y)) (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ 1 (cbrt (- 1.0 y))) (/ 1 (sqrt (- 1.0 y))) (/ 1 (sqrt (- 1.0 y))) (/ 1 1) (/ 1 (- 1.0 y)) (/ 1 (+ (sqrt 1.0) (sqrt y))) (/ 1 (- (sqrt 1.0) (sqrt y))) (/ 1 1) (/ 1 (- 1.0 y)) (/ 1 (- 1.0 y)) (/ (- 1.0 y) 1) (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ 1 (sqrt (- 1.0 y))) (/ 1 1) (/ 1 (+ (sqrt 1.0) (sqrt y))) (/ 1 1) (/ (- 1.0 y) (cbrt 1)) (/ (- 1.0 y) (sqrt 1)) (/ (- 1.0 y) 1) (/ 1 (- (pow 1.0 3) (pow y 3))) (/ 1 (- (* 1.0 1.0) (* y y))) (- (+ (* 1.0 x) (* 1.0 (* x y))) (* 1.0 y)) (- (+ (* 1.0 (/ 1 y)) 1) (/ x y)) (- (+ (* 1.0 (/ 1 y)) 1) (/ x y)) (+ (* 1.0 (pow y 2)) (+ (* 1.0 y) 1.0)) (- (+ (/ 1 y) (+ (* 1.0 (/ 1 (pow y 3))) (* 1.0 (/ 1 (pow y 2)))))) (- (+ (/ 1 y) (+ (* 1.0 (/ 1 (pow y 3))) (* 1.0 (/ 1 (pow y 2)))))) 0.689 * * [simplify]: iteration 0 : 369 enodes (cost 540 ) 0.697 * * [simplify]: iteration 1 : 1694 enodes (cost 471 ) 0.728 * * [simplify]: iteration 2 : 5003 enodes (cost 429 ) 0.732 * [simplify]: Simplified to: (expm1 (* (- x y) (/ 1 (- 1.0 y)))) (log1p (* (- x y) (/ 1 (- 1.0 y)))) (/ (- x y) (- 1.0 y)) (- (log (- x y)) (log (- 1.0 y))) (- (log (- x y)) (log (- 1.0 y))) (- (log (- x y)) (log (- 1.0 y))) (- (log (- x y)) (log (- 1.0 y))) (- (log (- x y)) (log (- 1.0 y))) (exp (* (- x y) (/ 1 (- 1.0 y)))) (pow (/ (- x y) (- 1.0 y)) 3) (pow (/ (- x y) (- 1.0 y)) 3) (* (cbrt (* (- x y) (/ 1 (- 1.0 y)))) (cbrt (* (- x y) (/ 1 (- 1.0 y))))) (cbrt (* (- x y) (/ 1 (- 1.0 y)))) (pow (/ (- x y) (- 1.0 y)) 3) (sqrt (* (- x y) (/ 1 (- 1.0 y)))) (sqrt (* (- x y) (/ 1 (- 1.0 y)))) (- (pow x 3) (pow y 3)) (* (- 1.0 y) (fma x x (fma y y (* x y)))) (- (* x x) (* y y)) (* (+ x y) (- 1.0 y)) (* (sqrt (- x y)) (sqrt (/ 1 (- 1.0 y)))) (* (sqrt (- x y)) (sqrt (/ 1 (- 1.0 y)))) (/ (* (sqrt (- x y)) 1) (sqrt (- 1.0 y))) (/ (* (sqrt (- x y)) 1) (sqrt (- 1.0 y))) (/ (* (sqrt (- x y)) 1) (sqrt (- 1.0 y))) (/ (* (sqrt (- x y)) 1) (sqrt (- 1.0 y))) (* (- x y) (* (cbrt (/ 1 (- 1.0 y))) (cbrt (/ 1 (- 1.0 y))))) (* (- x y) (sqrt (/ 1 (- 1.0 y)))) (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (sqrt (- 1.0 y))) (- x y) (/ (- x y) (+ (sqrt 1.0) (sqrt y))) (- x y) (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (sqrt (- 1.0 y))) (- x y) (/ (- x y) (+ (sqrt 1.0) (sqrt y))) (- x y) (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ (- x y) (sqrt (- 1.0 y))) (- x y) (/ (- x y) (+ (sqrt 1.0) (sqrt y))) (- x y) (- x y) (- x y) (/ (- x y) (- (pow 1.0 3) (pow y 3))) (/ (- x y) (- (* 1.0 1.0) (* y y))) (/ (cbrt (- x y)) (- 1.0 y)) (/ (sqrt (- x y)) (- 1.0 y)) (/ (- x y) (- 1.0 y)) (/ (- (sqrt x) (sqrt y)) (- 1.0 y)) (/ (- x y) (- 1.0 y)) (- x y) (/ (- (pow x 3) (pow y 3)) (- 1.0 y)) (/ (- (* x x) (* y y)) (- 1.0 y)) (expm1 (/ 1 (- 1.0 y))) (log1p (/ 1 (- 1.0 y))) (- 1) (log (/ 1 (- 1.0 y))) (log (/ 1 (- 1.0 y))) (log (/ 1 (- 1.0 y))) (log (/ 1 (- 1.0 y))) (exp (/ 1 (- 1.0 y))) (/ 1 (pow (- 1.0 y) 3)) (* (cbrt (/ 1 (- 1.0 y))) (cbrt (/ 1 (- 1.0 y)))) (cbrt (/ 1 (- 1.0 y))) (/ 1 (pow (- 1.0 y) 3)) (sqrt (/ 1 (- 1.0 y))) (sqrt (/ 1 (- 1.0 y))) (- 1) (- (- 1.0 y)) (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ 1 (cbrt (- 1.0 y))) (/ 1 (sqrt (- 1.0 y))) (/ 1 (sqrt (- 1.0 y))) 1 (/ 1 (- 1.0 y)) (/ 1 (+ (sqrt 1.0) (sqrt y))) (/ 1 (- (sqrt 1.0) (sqrt y))) 1 (/ 1 (- 1.0 y)) (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ 1 (cbrt (- 1.0 y))) (/ 1 (sqrt (- 1.0 y))) (/ 1 (sqrt (- 1.0 y))) 1 (/ 1 (- 1.0 y)) (/ 1 (+ (sqrt 1.0) (sqrt y))) (/ 1 (- (sqrt 1.0) (sqrt y))) 1 (/ 1 (- 1.0 y)) (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ 1 (cbrt (- 1.0 y))) (/ 1 (sqrt (- 1.0 y))) (/ 1 (sqrt (- 1.0 y))) 1 (/ 1 (- 1.0 y)) (/ 1 (+ (sqrt 1.0) (sqrt y))) (/ 1 (- (sqrt 1.0) (sqrt y))) 1 (/ 1 (- 1.0 y)) (/ 1 (- 1.0 y)) (- 1.0 y) (/ 1 (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (/ 1 (sqrt (- 1.0 y))) 1 (/ 1 (+ (sqrt 1.0) (sqrt y))) 1 (- 1.0 y) (- 1.0 y) (- 1.0 y) (/ 1 (- (pow 1.0 3) (pow y 3))) (/ 1 (- (* 1.0 1.0) (* y y))) (* 1.0 (- (+ x (* x y)) y)) (fma 1.0 (/ 1 y) (- 1 (/ x y))) (fma 1.0 (/ 1 y) (- 1 (/ x y))) (fma 1.0 (pow y 2) (fma 1.0 y 1.0)) (- (- (/ 1 y)) (fma 1.0 (/ 1 (pow y 3)) (* 1.0 (/ 1 (pow y 2))))) (- (- (/ 1 y)) (fma 1.0 (/ 1 (pow y 3)) (* 1.0 (/ 1 (pow y 2))))) 0.732 * * * [progress]: adding candidates to table 0.854 * [progress]: [Phase 3 of 3] Extracting. 0.855 * * [regime]: Finding splitpoints for: (# #) 0.855 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.855 * * * * [regimes]: Trying to branch on y from (# #) 0.866 * * * * [regimes]: Trying to branch on x from (# #) 0.876 * * * [regime]: Found split indices: #