3.710 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (/ (- x y) (- 1.0 y)) 0.019 * * [simplify]: iteration 0 : 12 enodes (cost 3 ) 0.020 * * [simplify]: iteration 1 : 16 enodes (cost 3 ) 0.021 * * [simplify]: iteration 2 : 18 enodes (cost 3 ) 0.023 * * [simplify]: iteration 3 : 18 enodes (cost 3 ) 0.023 * [simplify]: Simplified to: (/ (- x y) (- 1.0 y)) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.043 * * * [progress]: generating series expansions 0.043 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.044 * [approximate]: Taking taylor expansion of (/ (- x y) (- 1.0 y)) in (x y) around 0 0.044 * [taylor]: Taking taylor expansion of (/ (- x y) (- 1.0 y)) in y 0.044 * [taylor]: Taking taylor expansion of (- x y) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.044 * [taylor]: Taking taylor expansion of 1.0 in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of (/ (- x y) (- 1.0 y)) in x 0.045 * [taylor]: Taking taylor expansion of (- x y) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.045 * [taylor]: Taking taylor expansion of 1.0 in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (/ (- x y) (- 1.0 y)) in x 0.045 * [taylor]: Taking taylor expansion of (- x y) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.045 * [taylor]: Taking taylor expansion of 1.0 in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (* -1 (/ y (- 1.0 y))) in y 0.045 * [taylor]: Taking taylor expansion of -1 in y 0.045 * [taylor]: Taking taylor expansion of (/ y (- 1.0 y)) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.045 * [taylor]: Taking taylor expansion of 1.0 in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 y)) in y 0.048 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.048 * [taylor]: Taking taylor expansion of 1.0 in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (- 1.0 (/ 1 y))) in (x y) around 0 0.053 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (- 1.0 (/ 1 y))) in y 0.053 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 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 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 0.055 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (- 1.0 (/ 1 y))) in x 0.055 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [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 (- 1.0 (/ 1 y)) in x 0.055 * [taylor]: Taking taylor expansion of 1.0 in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.056 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (- 1.0 (/ 1 y))) in x 0.056 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.056 * [taylor]: Taking taylor expansion of y in x 0.056 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.056 * [taylor]: Taking taylor expansion of 1.0 in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.056 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in y 0.057 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.057 * [taylor]: Taking taylor expansion of 1.0 in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of (- (/ 1 (* y (- 1.0 (/ 1 y))))) in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 (* y (- 1.0 (/ 1 y)))) in y 0.059 * [taylor]: Taking taylor expansion of (* y (- 1.0 (/ 1 y))) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.059 * [taylor]: Taking taylor expansion of 1.0 in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [approximate]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in (x y) around 0 0.069 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in y 0.069 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.069 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.070 * [taylor]: Taking taylor expansion of x in y 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of 1.0 in y 0.071 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in x 0.071 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) 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 (/ 1 x) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 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 1.0 in x 0.072 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in x 0.072 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [taylor]: Taking taylor expansion of 1.0 in x 0.073 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) 1.0)) in y 0.073 * [taylor]: Taking taylor expansion of -1 in y 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.073 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of 1.0 in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in y 0.075 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of 1.0 in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.088 * * * [progress]: simplifying candidates 0.089 * [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)) 0.093 * * [simplify]: iteration 0 : 259 enodes (cost 377 ) 0.097 * * [simplify]: iteration 1 : 714 enodes (cost 359 ) 0.109 * * [simplify]: iteration 2 : 2580 enodes (cost 358 ) 0.144 * * [simplify]: iteration 3 : 5001 enodes (cost 358 ) 0.146 * [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))) 0.147 * * * [progress]: adding candidates to table 0.246 * * [progress]: iteration 2 / 4 0.246 * * * [progress]: picking best candidate 0.249 * * * * [pick]: Picked # 0.249 * * * [progress]: localizing error 0.255 * * * [progress]: generating rewritten candidates 0.255 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.261 * * * [progress]: generating series expansions 0.261 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.261 * [approximate]: Taking taylor expansion of (/ x (- 1.0 y)) in (x y) around 0 0.261 * [taylor]: Taking taylor expansion of (/ x (- 1.0 y)) in y 0.261 * [taylor]: Taking taylor expansion of x in y 0.261 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.261 * [taylor]: Taking taylor expansion of 1.0 in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.262 * [taylor]: Taking taylor expansion of (/ x (- 1.0 y)) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.262 * [taylor]: Taking taylor expansion of 1.0 in x 0.262 * [taylor]: Taking taylor expansion of y in x 0.263 * [taylor]: Taking taylor expansion of (/ x (- 1.0 y)) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.263 * [taylor]: Taking taylor expansion of 1.0 in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 y)) in y 0.263 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.263 * [taylor]: Taking taylor expansion of 1.0 in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of 0 in y 0.267 * [taylor]: Taking taylor expansion of 0 in y 0.270 * [approximate]: Taking taylor expansion of (/ 1 (* x (- 1.0 (/ 1 y)))) in (x y) around 0 0.270 * [taylor]: Taking taylor expansion of (/ 1 (* x (- 1.0 (/ 1 y)))) in y 0.270 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 y))) in y 0.270 * [taylor]: Taking taylor expansion of x in y 0.270 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.270 * [taylor]: Taking taylor expansion of 1.0 in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 (* x (- 1.0 (/ 1 y)))) in x 0.271 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 y))) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.271 * [taylor]: Taking taylor expansion of 1.0 in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.271 * [taylor]: Taking taylor expansion of y in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 (* x (- 1.0 (/ 1 y)))) in x 0.272 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 y))) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.272 * [taylor]: Taking taylor expansion of 1.0 in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.272 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in y 0.273 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.273 * [taylor]: Taking taylor expansion of 1.0 in y 0.273 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of 0 in y 0.279 * [taylor]: Taking taylor expansion of 0 in y 0.284 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 y) 1.0))) in (x y) around 0 0.284 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 y) 1.0))) in y 0.284 * [taylor]: Taking taylor expansion of -1 in y 0.284 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) 1.0)) in y 0.284 * [taylor]: Taking taylor expansion of x in y 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.284 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.284 * [taylor]: Taking taylor expansion of 1.0 in y 0.285 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 y) 1.0))) in x 0.285 * [taylor]: Taking taylor expansion of -1 in x 0.285 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) 1.0)) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.285 * [taylor]: Taking taylor expansion of y in x 0.285 * [taylor]: Taking taylor expansion of 1.0 in x 0.285 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 y) 1.0))) in x 0.285 * [taylor]: Taking taylor expansion of -1 in x 0.286 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) 1.0)) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.286 * [taylor]: Taking taylor expansion of y in x 0.286 * [taylor]: Taking taylor expansion of 1.0 in x 0.286 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) 1.0)) in y 0.286 * [taylor]: Taking taylor expansion of -1 in y 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.286 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.287 * [taylor]: Taking taylor expansion of 1.0 in y 0.288 * [taylor]: Taking taylor expansion of 0 in y 0.292 * [taylor]: Taking taylor expansion of 0 in y 0.296 * * * [progress]: simplifying candidates 0.297 * [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)))))) 0.301 * * [simplify]: iteration 0 : 184 enodes (cost 220 ) 0.305 * * [simplify]: iteration 1 : 607 enodes (cost 208 ) 0.316 * * [simplify]: iteration 2 : 2507 enodes (cost 206 ) 0.367 * * [simplify]: iteration 3 : 5001 enodes (cost 206 ) 0.368 * [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))) 0.369 * * * [progress]: adding candidates to table 0.452 * * [progress]: iteration 3 / 4 0.453 * * * [progress]: picking best candidate 0.454 * * * * [pick]: Picked # 0.454 * * * [progress]: localizing error 0.463 * * * [progress]: generating rewritten candidates 0.463 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.512 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.519 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2) 0.535 * * * [progress]: generating series expansions 0.535 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.535 * [approximate]: Taking taylor expansion of (/ x (- 1.0 y)) in (y x) around 0 0.535 * [taylor]: Taking taylor expansion of (/ x (- 1.0 y)) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.535 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.536 * [taylor]: Taking taylor expansion of 1.0 in x 0.536 * [taylor]: Taking taylor expansion of y in x 0.536 * [taylor]: Taking taylor expansion of (/ x (- 1.0 y)) in y 0.536 * [taylor]: Taking taylor expansion of x in y 0.536 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.536 * [taylor]: Taking taylor expansion of 1.0 in y 0.536 * [taylor]: Taking taylor expansion of y in y 0.537 * [taylor]: Taking taylor expansion of (/ x (- 1.0 y)) in y 0.537 * [taylor]: Taking taylor expansion of x in y 0.537 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.537 * [taylor]: Taking taylor expansion of 1.0 in y 0.537 * [taylor]: Taking taylor expansion of y in y 0.538 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.538 * [taylor]: Taking taylor expansion of 1.0 in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.540 * [taylor]: Taking taylor expansion of 1.0 in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.543 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.543 * [taylor]: Taking taylor expansion of 1.0 in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.544 * [approximate]: Taking taylor expansion of (/ 1 (* x (- 1.0 (/ 1 y)))) in (y x) around 0 0.544 * [taylor]: Taking taylor expansion of (/ 1 (* x (- 1.0 (/ 1 y)))) in x 0.544 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 y))) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.544 * [taylor]: Taking taylor expansion of 1.0 in x 0.544 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.544 * [taylor]: Taking taylor expansion of y in x 0.545 * [taylor]: Taking taylor expansion of (/ 1 (* x (- 1.0 (/ 1 y)))) in y 0.545 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 y))) in y 0.545 * [taylor]: Taking taylor expansion of x in y 0.545 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.545 * [taylor]: Taking taylor expansion of 1.0 in y 0.545 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.545 * [taylor]: Taking taylor expansion of y in y 0.546 * [taylor]: Taking taylor expansion of (/ 1 (* x (- 1.0 (/ 1 y)))) in y 0.546 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 y))) in y 0.546 * [taylor]: Taking taylor expansion of x in y 0.546 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.546 * [taylor]: Taking taylor expansion of 1.0 in y 0.546 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.546 * [taylor]: Taking taylor expansion of y in y 0.547 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.547 * [taylor]: Taking taylor expansion of -1 in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x))) in x 0.549 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.549 * [taylor]: Taking taylor expansion of 1.0 in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.552 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x))) in x 0.552 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.552 * [taylor]: Taking taylor expansion of 1.0 in x 0.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.554 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 y) 1.0))) in (y x) around 0 0.554 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 y) 1.0))) in x 0.554 * [taylor]: Taking taylor expansion of -1 in x 0.554 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) 1.0)) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.554 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.554 * [taylor]: Taking taylor expansion of y in x 0.554 * [taylor]: Taking taylor expansion of 1.0 in x 0.555 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 y) 1.0))) in y 0.555 * [taylor]: Taking taylor expansion of -1 in y 0.555 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) 1.0)) in y 0.555 * [taylor]: Taking taylor expansion of x in y 0.555 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.555 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.555 * [taylor]: Taking taylor expansion of y in y 0.555 * [taylor]: Taking taylor expansion of 1.0 in y 0.555 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (/ 1 y) 1.0))) in y 0.555 * [taylor]: Taking taylor expansion of -1 in y 0.555 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) 1.0)) in y 0.555 * [taylor]: Taking taylor expansion of x in y 0.555 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.555 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.555 * [taylor]: Taking taylor expansion of y in y 0.556 * [taylor]: Taking taylor expansion of 1.0 in y 0.556 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.556 * [taylor]: Taking taylor expansion of -1 in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.558 * [taylor]: Taking taylor expansion of 1.0 in x 0.558 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x))) in x 0.560 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.560 * [taylor]: Taking taylor expansion of 1.0 in x 0.560 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.562 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.562 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 y))) in (y) around 0 0.562 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 y))) in y 0.562 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 y)) in y 0.562 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.562 * [taylor]: Taking taylor expansion of 1.0 in y 0.562 * [taylor]: Taking taylor expansion of y in y 0.566 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 y))) in y 0.566 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 y)) in y 0.566 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.566 * [taylor]: Taking taylor expansion of 1.0 in y 0.566 * [taylor]: Taking taylor expansion of y in y 0.590 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 y)))) in (y) around 0 0.590 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 y)))) in y 0.590 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in y 0.590 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.590 * [taylor]: Taking taylor expansion of 1.0 in y 0.590 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.590 * [taylor]: Taking taylor expansion of y in y 0.592 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 y)))) in y 0.592 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in y 0.592 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.592 * [taylor]: Taking taylor expansion of 1.0 in y 0.592 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.592 * [taylor]: Taking taylor expansion of y in y 0.605 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 y) 1.0))) in (y) around 0 0.606 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 y) 1.0))) in y 0.606 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.606 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.606 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.606 * [taylor]: Taking taylor expansion of y in y 0.606 * [taylor]: Taking taylor expansion of 1.0 in y 0.607 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 y) 1.0))) in y 0.608 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.608 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.608 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.608 * [taylor]: Taking taylor expansion of y in y 0.608 * [taylor]: Taking taylor expansion of 1.0 in y 0.620 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2) 0.620 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 y))) x) in (x y) around 0 0.620 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 y))) x) in y 0.620 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 y))) in y 0.620 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 y)) in y 0.620 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.620 * [taylor]: Taking taylor expansion of 1.0 in y 0.620 * [taylor]: Taking taylor expansion of y in y 0.624 * [taylor]: Taking taylor expansion of x in y 0.624 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 y))) x) in x 0.624 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 y))) in x 0.624 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 y)) in x 0.624 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.624 * [taylor]: Taking taylor expansion of 1.0 in x 0.624 * [taylor]: Taking taylor expansion of y in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.625 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 y))) x) in x 0.625 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 y))) in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 y)) in x 0.625 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.625 * [taylor]: Taking taylor expansion of 1.0 in x 0.625 * [taylor]: Taking taylor expansion of y in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of 0 in y 0.626 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 y))) in y 0.626 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 y)) in y 0.626 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.626 * [taylor]: Taking taylor expansion of 1.0 in y 0.626 * [taylor]: Taking taylor expansion of y in y 0.632 * [taylor]: Taking taylor expansion of 0 in y 0.634 * [taylor]: Taking taylor expansion of 0 in y 0.649 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (- 1.0 (/ 1 y))))) in (x y) around 0 0.649 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (- 1.0 (/ 1 y))))) in y 0.649 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.649 * [taylor]: Taking taylor expansion of x in y 0.649 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 y)))) in y 0.649 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in y 0.649 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.649 * [taylor]: Taking taylor expansion of 1.0 in y 0.649 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.649 * [taylor]: Taking taylor expansion of y in y 0.651 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (- 1.0 (/ 1 y))))) in x 0.651 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.652 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 y)))) in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in x 0.652 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.652 * [taylor]: Taking taylor expansion of 1.0 in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.652 * [taylor]: Taking taylor expansion of y in x 0.653 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (- 1.0 (/ 1 y))))) in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 y)))) in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in x 0.653 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.653 * [taylor]: Taking taylor expansion of 1.0 in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.653 * [taylor]: Taking taylor expansion of y in x 0.657 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 y)))) in y 0.657 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in y 0.657 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.658 * [taylor]: Taking taylor expansion of 1.0 in y 0.658 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.658 * [taylor]: Taking taylor expansion of y in y 0.660 * [taylor]: Taking taylor expansion of 0 in y 0.663 * [taylor]: Taking taylor expansion of 0 in y 0.670 * [taylor]: Taking taylor expansion of 0 in y 0.677 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 y) 1.0))))) in (x y) around 0 0.677 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 y) 1.0))))) in y 0.677 * [taylor]: Taking taylor expansion of -1 in y 0.677 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 y) 1.0)))) in y 0.677 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.677 * [taylor]: Taking taylor expansion of x in y 0.677 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 y) 1.0))) in y 0.677 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.677 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.677 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.677 * [taylor]: Taking taylor expansion of y in y 0.678 * [taylor]: Taking taylor expansion of 1.0 in y 0.680 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 y) 1.0))))) in x 0.680 * [taylor]: Taking taylor expansion of -1 in x 0.680 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 y) 1.0)))) in x 0.680 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.680 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 y) 1.0))) in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in x 0.681 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.681 * [taylor]: Taking taylor expansion of y in x 0.681 * [taylor]: Taking taylor expansion of 1.0 in x 0.681 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 y) 1.0))))) in x 0.681 * [taylor]: Taking taylor expansion of -1 in x 0.681 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 y) 1.0)))) in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.682 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 y) 1.0))) in x 0.682 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in x 0.682 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.682 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.682 * [taylor]: Taking taylor expansion of y in x 0.682 * [taylor]: Taking taylor expansion of 1.0 in x 0.683 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (+ (/ 1 y) 1.0)))) in y 0.683 * [taylor]: Taking taylor expansion of -1 in y 0.683 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 y) 1.0))) in y 0.683 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.683 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.683 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.683 * [taylor]: Taking taylor expansion of y in y 0.683 * [taylor]: Taking taylor expansion of 1.0 in y 0.686 * [taylor]: Taking taylor expansion of 0 in y 0.690 * [taylor]: Taking taylor expansion of 0 in y 0.699 * [taylor]: Taking taylor expansion of 0 in y 0.707 * * * [progress]: simplifying candidates 0.710 * [simplify]: Simplifying using # : (expm1 (* (/ 1 (sqrt (- 1.0 y))) (/ x (sqrt (- 1.0 y))))) (log1p (* (/ 1 (sqrt (- 1.0 y))) (/ x (sqrt (- 1.0 y))))) (* (/ 1 (sqrt (- 1.0 y))) (/ x (sqrt (- 1.0 y)))) (+ (- (log (sqrt (- 1.0 y)))) (- (log x) (log (sqrt (- 1.0 y))))) (+ (- (log (sqrt (- 1.0 y)))) (log (/ x (sqrt (- 1.0 y))))) (+ (- 0 (log (sqrt (- 1.0 y)))) (- (log x) (log (sqrt (- 1.0 y))))) (+ (- 0 (log (sqrt (- 1.0 y)))) (log (/ x (sqrt (- 1.0 y))))) (+ (- (log 1) (log (sqrt (- 1.0 y)))) (- (log x) (log (sqrt (- 1.0 y))))) (+ (- (log 1) (log (sqrt (- 1.0 y)))) (log (/ x (sqrt (- 1.0 y))))) (+ (log (/ 1 (sqrt (- 1.0 y)))) (- (log x) (log (sqrt (- 1.0 y))))) (+ (log (/ 1 (sqrt (- 1.0 y)))) (log (/ x (sqrt (- 1.0 y))))) (log (* (/ 1 (sqrt (- 1.0 y))) (/ x (sqrt (- 1.0 y))))) (exp (* (/ 1 (sqrt (- 1.0 y))) (/ x (sqrt (- 1.0 y))))) (* (/ (* (* 1 1) 1) (* (* (sqrt (- 1.0 y)) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (/ (* (* x x) x) (* (* (sqrt (- 1.0 y)) (sqrt (- 1.0 y))) (sqrt (- 1.0 y))))) (* (/ (* (* 1 1) 1) (* (* (sqrt (- 1.0 y)) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (* (* (/ x (sqrt (- 1.0 y))) (/ x (sqrt (- 1.0 y)))) (/ x (sqrt (- 1.0 y))))) (* (* (* (/ 1 (sqrt (- 1.0 y))) (/ 1 (sqrt (- 1.0 y)))) (/ 1 (sqrt (- 1.0 y)))) (/ (* (* x x) x) (* (* (sqrt (- 1.0 y)) (sqrt (- 1.0 y))) (sqrt (- 1.0 y))))) (* (* (* (/ 1 (sqrt (- 1.0 y))) (/ 1 (sqrt (- 1.0 y)))) (/ 1 (sqrt (- 1.0 y)))) (* (* (/ x (sqrt (- 1.0 y))) (/ x (sqrt (- 1.0 y)))) (/ x (sqrt (- 1.0 y))))) (* (cbrt (* (/ 1 (sqrt (- 1.0 y))) (/ x (sqrt (- 1.0 y))))) (cbrt (* (/ 1 (sqrt (- 1.0 y))) (/ x (sqrt (- 1.0 y)))))) (cbrt (* (/ 1 (sqrt (- 1.0 y))) (/ x (sqrt (- 1.0 y))))) (* (* (* (/ 1 (sqrt (- 1.0 y))) (/ x (sqrt (- 1.0 y)))) (* (/ 1 (sqrt (- 1.0 y))) (/ x (sqrt (- 1.0 y))))) (* (/ 1 (sqrt (- 1.0 y))) (/ x (sqrt (- 1.0 y))))) (sqrt (* (/ 1 (sqrt (- 1.0 y))) (/ x (sqrt (- 1.0 y))))) (sqrt (* (/ 1 (sqrt (- 1.0 y))) (/ x (sqrt (- 1.0 y))))) (* 1 x) (* (sqrt (- 1.0 y)) (sqrt (- 1.0 y))) (* (sqrt (/ 1 (sqrt (- 1.0 y)))) (sqrt (/ x (sqrt (- 1.0 y))))) (* (sqrt (/ 1 (sqrt (- 1.0 y)))) (sqrt (/ x (sqrt (- 1.0 y))))) (* (sqrt (/ 1 (sqrt (- 1.0 y)))) (/ (sqrt x) (sqrt (sqrt (- 1.0 y))))) (* (sqrt (/ 1 (sqrt (- 1.0 y)))) (/ (sqrt x) (sqrt (sqrt (- 1.0 y))))) (* (sqrt (/ 1 (sqrt (- 1.0 y)))) (/ (sqrt x) (sqrt (sqrt (- 1.0 y))))) (* (sqrt (/ 1 (sqrt (- 1.0 y)))) (/ (sqrt x) (sqrt (sqrt (- 1.0 y))))) (* (/ (sqrt 1) (sqrt (sqrt (- 1.0 y)))) (sqrt (/ x (sqrt (- 1.0 y))))) (* (/ (sqrt 1) (sqrt (sqrt (- 1.0 y)))) (sqrt (/ x (sqrt (- 1.0 y))))) (* (/ (sqrt 1) (sqrt (sqrt (- 1.0 y)))) (/ (sqrt x) (sqrt (sqrt (- 1.0 y))))) (* (/ (sqrt 1) (sqrt (sqrt (- 1.0 y)))) (/ (sqrt x) (sqrt (sqrt (- 1.0 y))))) (* (/ (sqrt 1) (sqrt (sqrt (- 1.0 y)))) (/ (sqrt x) (sqrt (sqrt (- 1.0 y))))) (* (/ (sqrt 1) (sqrt (sqrt (- 1.0 y)))) (/ (sqrt x) (sqrt (sqrt (- 1.0 y))))) (* (/ (sqrt 1) (sqrt (sqrt (- 1.0 y)))) (sqrt (/ x (sqrt (- 1.0 y))))) (* (/ (sqrt 1) (sqrt (sqrt (- 1.0 y)))) (sqrt (/ x (sqrt (- 1.0 y))))) (* (/ (sqrt 1) (sqrt (sqrt (- 1.0 y)))) (/ (sqrt x) (sqrt (sqrt (- 1.0 y))))) (* (/ (sqrt 1) (sqrt (sqrt (- 1.0 y)))) (/ (sqrt x) (sqrt (sqrt (- 1.0 y))))) (* (/ (sqrt 1) (sqrt (sqrt (- 1.0 y)))) (/ (sqrt x) (sqrt (sqrt (- 1.0 y))))) (* (/ (sqrt 1) (sqrt (sqrt (- 1.0 y)))) (/ (sqrt x) (sqrt (sqrt (- 1.0 y))))) (* (/ 1 (sqrt (sqrt 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(sqrt (- 1.0 y)))) (* (/ 1 (sqrt (- 1.0 y))) (/ x (sqrt (- 1.0 y)))) (* (/ 1 (sqrt (- (sqrt 1.0) (sqrt y)))) (/ x (sqrt (- 1.0 y)))) (* (/ 1 (sqrt (- 1.0 y))) (/ x (sqrt (- 1.0 y)))) (* (/ 1 (sqrt (sqrt (- 1.0 y)))) (/ x (sqrt (- 1.0 y)))) (* (/ 1 (sqrt (- 1.0 y))) (/ x (sqrt (- 1.0 y)))) (* (/ 1 (sqrt (- 1.0 y))) (/ x (sqrt (- 1.0 y)))) (* (/ 1 (sqrt (- 1.0 y))) (/ x (sqrt (- 1.0 y)))) (* (sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y)))) (/ x (sqrt (- 1.0 y)))) (* (sqrt (+ 1.0 y)) (/ x (sqrt (- 1.0 y)))) (* (/ 1 (sqrt (- 1.0 y))) x) (* 1 (/ x (sqrt (- 1.0 y)))) (expm1 (/ 1 (sqrt (- 1.0 y)))) (log1p (/ 1 (sqrt (- 1.0 y)))) (- 1/2) (- 1) (- (/ 1 2)) (- (log (sqrt (- 1.0 y)))) (- 0 (log (sqrt (- 1.0 y)))) (- (log 1) (log (sqrt (- 1.0 y)))) (log (/ 1 (sqrt (- 1.0 y)))) (exp (/ 1 (sqrt (- 1.0 y)))) (/ (* (* 1 1) 1) (* (* (sqrt (- 1.0 y)) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (* (cbrt (/ 1 (sqrt (- 1.0 y)))) (cbrt (/ 1 (sqrt (- 1.0 y))))) (cbrt (/ 1 (sqrt (- 1.0 y)))) (* (* (/ 1 (sqrt (- 1.0 y))) 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(cbrt x) (sqrt (cbrt (- 1.0 y)))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (- 1.0 y)))) (/ (cbrt x) (sqrt (sqrt (- 1.0 y)))) (/ (* (cbrt x) (cbrt x)) (sqrt 1)) (/ (cbrt x) (sqrt (- 1.0 y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ (sqrt 1.0) (sqrt y)))) (/ (cbrt x) (sqrt (- (sqrt 1.0) (sqrt y)))) (/ (* (cbrt x) (cbrt x)) (sqrt 1)) (/ (cbrt x) (sqrt (- 1.0 y))) (/ (* (cbrt x) (cbrt x)) (sqrt (sqrt (- 1.0 y)))) (/ (cbrt x) (sqrt (sqrt (- 1.0 y)))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (sqrt (- 1.0 y))) (/ (sqrt x) (* (cbrt (sqrt (- 1.0 y))) (cbrt (sqrt (- 1.0 y))))) (/ (sqrt x) (cbrt (sqrt (- 1.0 y)))) (/ (sqrt x) (sqrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))) (/ (sqrt x) (sqrt (cbrt (- 1.0 y)))) (/ (sqrt x) (sqrt (sqrt (- 1.0 y)))) (/ (sqrt x) (sqrt (sqrt (- 1.0 y)))) (/ (sqrt x) (sqrt 1)) (/ (sqrt x) (sqrt (- 1.0 y))) (/ (sqrt x) (sqrt (+ (sqrt 1.0) (sqrt y)))) (/ (sqrt x) (sqrt (- (sqrt 1.0) (sqrt y)))) (/ (sqrt x) (sqrt 1)) (/ (sqrt x) (sqrt (- 1.0 y))) (/ (sqrt x) (sqrt (sqrt (- 1.0 y)))) (/ 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(* 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)))))) (- (+ (sqrt 1.0) (+ (* 0.5 (/ y (sqrt 1.0))) (* 0.5 (/ (pow y 2) (sqrt 1.0))))) (* 0.125 (/ (pow y 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 3))) (- (* +nan.0 (/ 1 (pow y 2)))))))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 3))) (- (* +nan.0 (/ 1 (pow y 2)))))))) (- (+ (* 0.5 (/ (* x y) (sqrt 1.0))) (+ (* 0.5 (/ (* x (pow y 2)) (sqrt 1.0))) (* x (sqrt 1.0)))) (* 0.125 (/ (* x (pow y 2)) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ x (pow y 3))) (- (+ (* +nan.0 (/ x y)) (- (* +nan.0 (/ x (pow y 2)))))))) (- (+ (* +nan.0 (/ x (pow y 3))) (- (+ (* +nan.0 (/ x y)) (- (* +nan.0 (/ x (pow y 2)))))))) 0.720 * * [simplify]: iteration 0 : 743 enodes (cost 1853 ) 0.736 * * [simplify]: iteration 1 : 3652 enodes (cost 1608 ) 0.785 * * [simplify]: iteration 2 : 5001 enodes (cost 1472 ) 0.792 * [simplify]: Simplified to: (expm1 (* (/ 1 (sqrt (- 1.0 y))) (/ x (sqrt (- 1.0 y))))) (log1p (* (/ 1 (sqrt (- 1.0 y))) (/ x (sqrt (- 1.0 y))))) (/ x (- 1.0 y)) (log (/ x (- 1.0 y))) (log (/ x (- 1.0 y))) (log (/ x (- 1.0 y))) (log (/ x (- 1.0 y))) (log (/ x (- 1.0 y))) (log (/ x (- 1.0 y))) (log (/ 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) (pow (/ x (- 1.0 y)) 3) (pow (/ x (- 1.0 y)) 3) (pow (/ x (- 1.0 y)) 3) (* (cbrt (* (/ 1 (sqrt (- 1.0 y))) (/ x (sqrt (- 1.0 y))))) (cbrt (* (/ 1 (sqrt (- 1.0 y))) (/ x (sqrt (- 1.0 y)))))) (cbrt (* (/ 1 (sqrt (- 1.0 y))) (/ x (sqrt (- 1.0 y))))) (pow (/ x (- 1.0 y)) 3) (sqrt (* (/ 1 (sqrt (- 1.0 y))) (/ x (sqrt (- 1.0 y))))) (sqrt (* (/ 1 (sqrt (- 1.0 y))) (/ x (sqrt (- 1.0 y))))) x (- 1.0 y) (* (sqrt (/ 1 (sqrt (- 1.0 y)))) (sqrt (/ x (sqrt (- 1.0 y))))) (* (sqrt (/ 1 (sqrt (- 1.0 y)))) (sqrt (/ x (sqrt (- 1.0 y))))) (* (sqrt (/ 1 (sqrt (- 1.0 y)))) (/ (sqrt x) 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[progress]: [Phase 3 of 3] Extracting. 1.187 * * [regime]: Finding splitpoints for: (# #) 1.188 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.188 * * * * [regimes]: Trying to branch on y from (# #) 1.199 * * * * [regimes]: Trying to branch on x from (# #) 1.210 * * * [regime]: Found split indices: #