18.871 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying using # : (/ (+ x y) (+ y 1.0)) 0.015 * * [simplify]: iteration 0 : 8 enodes (cost 3 ) 0.016 * * [simplify]: iteration 1 : 8 enodes (cost 3 ) 0.016 * [simplify]: Simplified to: (/ (+ x y) (+ y 1.0)) 0.017 * * [progress]: iteration 1 / 4 0.017 * * * [progress]: picking best candidate 0.018 * * * * [pick]: Picked # 0.018 * * * [progress]: localizing error 0.022 * * * [progress]: generating rewritten candidates 0.022 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.031 * * * [progress]: generating series expansions 0.031 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.031 * [approximate]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in (x y) around 0 0.031 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in y 0.031 * [taylor]: Taking taylor expansion of (+ x y) in y 0.031 * [taylor]: Taking taylor expansion of x in y 0.031 * [taylor]: Taking taylor expansion of y in y 0.031 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.031 * [taylor]: Taking taylor expansion of y in y 0.031 * [taylor]: Taking taylor expansion of 1.0 in y 0.031 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in x 0.031 * [taylor]: Taking taylor expansion of (+ x y) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of y in x 0.032 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.032 * [taylor]: Taking taylor expansion of y in x 0.032 * [taylor]: Taking taylor expansion of 1.0 in x 0.032 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in x 0.032 * [taylor]: Taking taylor expansion of (+ x y) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of y in x 0.032 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.032 * [taylor]: Taking taylor expansion of y in x 0.032 * [taylor]: Taking taylor expansion of 1.0 in x 0.032 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.032 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.032 * [taylor]: Taking taylor expansion of 1.0 in y 0.033 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in y 0.033 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.033 * [taylor]: Taking taylor expansion of 1.0 in y 0.034 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in (x y) around 0 0.037 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in y 0.037 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.037 * [taylor]: Taking taylor expansion of x in y 0.037 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of 1.0 in y 0.038 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in x 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of 1.0 in x 0.039 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in x 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of 1.0 in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.040 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of 1.0 in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in y 0.042 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of 1.0 in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in (x y) around 0 0.053 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in y 0.053 * [taylor]: Taking taylor expansion of -1 in y 0.053 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y))) in y 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 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 x) in y 0.053 * [taylor]: Taking taylor expansion of x 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 0.054 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in x 0.054 * [taylor]: Taking taylor expansion of -1 in x 0.055 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y))) 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 0.055 * [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 0.055 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in x 0.055 * [taylor]: Taking taylor expansion of -1 in x 0.055 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y))) 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 0.056 * [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 0.056 * [taylor]: Taking taylor expansion of (/ -1 (- 1.0 (/ 1 y))) in y 0.056 * [taylor]: Taking taylor expansion of -1 in y 0.056 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.056 * [taylor]: Taking taylor expansion of 1.0 in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.059 * [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 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.068 * * * [progress]: simplifying candidates 0.069 * [simplify]: Simplifying using # : (expm1 (/ (+ x y) (+ y 1.0))) (log1p (/ (+ x y) (+ y 1.0))) (- (log (+ x y)) (log (+ y 1.0))) (log (/ (+ x y) (+ y 1.0))) (exp (/ (+ x y) (+ y 1.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0))) (* (cbrt (/ (+ x y) (+ y 1.0))) (cbrt (/ (+ x y) (+ y 1.0)))) (cbrt (/ (+ x y) (+ y 1.0))) (* (* (/ (+ x y) (+ y 1.0)) (/ (+ x y) (+ y 1.0))) (/ (+ x y) (+ y 1.0))) (sqrt (/ (+ x y) (+ y 1.0))) (sqrt (/ (+ x y) (+ y 1.0))) (- (+ x y)) (- (+ y 1.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt (+ x y)) (cbrt (+ y 1.0))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ y 1.0))) (/ (cbrt (+ x y)) (sqrt (+ y 1.0))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y 1.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y 1.0)) (/ (sqrt (+ x y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt (+ x y)) (cbrt (+ y 1.0))) (/ (sqrt (+ x y)) (sqrt (+ y 1.0))) (/ (sqrt (+ x y)) (sqrt (+ y 1.0))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y 1.0)) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (+ x y) (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ (+ x y) (sqrt (+ y 1.0))) (/ 1 1) (/ (+ x y) (+ y 1.0)) (/ 1 1) (/ (+ x y) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (+ x y) (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ (+ x y) (sqrt (+ y 1.0))) (/ 1 1) (/ (+ x y) (+ y 1.0)) (/ 1 1) (/ (+ x y) (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) (+ x y)) (/ (+ x y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (+ x y) (sqrt (+ y 1.0))) (/ (+ x y) 1) (/ (+ x y) 1) (/ (+ y 1.0) (cbrt (+ x y))) (/ (+ y 1.0) (sqrt (+ x y))) (/ (+ y 1.0) (+ x y)) (/ (+ y 1.0) (+ x y)) (/ (+ x y) (+ (pow y 3) (pow 1.0 3))) (/ (+ x y) (- (* y y) (* 1.0 1.0))) (* (+ y 1.0) (+ (* x x) (- (* y y) (* x y)))) (* (+ y 1.0) (- x y)) (- (+ (* 1.0 x) (* 1.0 y)) (* 1.0 (* x y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) 0.073 * * [simplify]: iteration 0 : 197 enodes (cost 262 ) 0.076 * * [simplify]: iteration 1 : 620 enodes (cost 246 ) 0.086 * * [simplify]: iteration 2 : 1970 enodes (cost 245 ) 0.116 * * [simplify]: iteration 3 : 5001 enodes (cost 245 ) 0.118 * [simplify]: Simplified to: (expm1 (/ (+ x y) (+ y 1.0))) (log1p (/ (+ x y) (+ y 1.0))) (log (/ (+ x y) (+ y 1.0))) (log (/ (+ x y) (+ y 1.0))) (exp (/ (+ x y) (+ y 1.0))) (pow (/ (+ x y) (+ y 1.0)) 3) (* (cbrt (/ (+ x y) (+ y 1.0))) (cbrt (/ (+ x y) (+ y 1.0)))) (cbrt (/ (+ x y) (+ y 1.0))) (pow (/ (+ x y) (+ y 1.0)) 3) (sqrt (/ (+ x y) (+ y 1.0))) (sqrt (/ (+ x y) (+ y 1.0))) (- (+ x y)) (- (+ y 1.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt (+ x y)) (cbrt (+ y 1.0))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ y 1.0))) (/ (cbrt (+ x y)) (sqrt (+ y 1.0))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ y 1.0)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ y 1.0)) (/ (sqrt (+ x y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt (+ x y)) (cbrt (+ y 1.0))) (/ (sqrt (+ x y)) (sqrt (+ y 1.0))) (/ (sqrt (+ x y)) (sqrt (+ y 1.0))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ y 1.0)) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (+ x y) (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ (+ x y) (sqrt (+ y 1.0))) 1 (/ (+ x y) (+ y 1.0)) 1 (/ (+ x y) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (+ x y) (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ (+ x y) (sqrt (+ y 1.0))) 1 (/ (+ x y) (+ y 1.0)) 1 (/ (+ x y) (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) (+ x y)) (/ (+ x y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (+ x y) (sqrt (+ y 1.0))) (+ x y) (+ x y) (/ (+ y 1.0) (cbrt (+ x y))) (/ (+ y 1.0) (sqrt (+ x y))) (/ (+ y 1.0) (+ x y)) (/ (+ y 1.0) (+ x y)) (/ (+ x y) (+ (pow y 3) (pow 1.0 3))) (/ (+ x y) (- (* y y) (* 1.0 1.0))) (* (fma y (- y x) (* x x)) (+ 1.0 y)) (* (+ y 1.0) (- x y)) (* 1.0 (- (+ x y) (* x y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) 0.119 * * * [progress]: adding candidates to table 0.176 * * [progress]: iteration 2 / 4 0.176 * * * [progress]: picking best candidate 0.179 * * * * [pick]: Picked # 0.179 * * * [progress]: localizing error 0.188 * * * [progress]: generating rewritten candidates 0.188 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.195 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.222 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2) 0.237 * * * [progress]: generating series expansions 0.237 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.238 * [approximate]: Taking taylor expansion of (/ (+ x y) (- (pow y 2) 1.0)) in (x y) around 0 0.238 * [taylor]: Taking taylor expansion of (/ (+ x y) (- (pow y 2) 1.0)) in y 0.238 * [taylor]: Taking taylor expansion of (+ x y) in y 0.238 * [taylor]: Taking taylor expansion of x in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.238 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in y 0.238 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.238 * [taylor]: Taking taylor expansion of 1.0 in y 0.240 * [taylor]: Taking taylor expansion of (/ (+ x y) (- (pow y 2) 1.0)) in x 0.240 * [taylor]: Taking taylor expansion of (+ x y) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of y in x 0.240 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in x 0.240 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.240 * [taylor]: Taking taylor expansion of y in x 0.240 * [taylor]: Taking taylor expansion of 1.0 in x 0.241 * [taylor]: Taking taylor expansion of (/ (+ x y) (- (pow y 2) 1.0)) in x 0.241 * [taylor]: Taking taylor expansion of (+ x y) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of y in x 0.241 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in x 0.241 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.241 * [taylor]: Taking taylor expansion of y in x 0.241 * [taylor]: Taking taylor expansion of 1.0 in x 0.242 * [taylor]: Taking taylor expansion of (/ y (- (pow y 2) 1.0)) in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.242 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in y 0.242 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.242 * [taylor]: Taking taylor expansion of 1.0 in y 0.246 * [taylor]: Taking taylor expansion of (/ 1 (- (pow y 2) 1.0)) in y 0.246 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in y 0.246 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.246 * [taylor]: Taking taylor expansion of 1.0 in y 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.261 * [taylor]: Taking taylor expansion of 0 in y 0.268 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow y 2)) 1.0)) in (x y) around 0 0.268 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow y 2)) 1.0)) in y 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.268 * [taylor]: Taking taylor expansion of x in y 0.268 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.269 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.269 * [taylor]: Taking taylor expansion of y in y 0.269 * [taylor]: Taking taylor expansion of 1.0 in y 0.270 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow y 2)) 1.0)) in x 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.271 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.271 * [taylor]: Taking taylor expansion of y in x 0.271 * [taylor]: Taking taylor expansion of 1.0 in x 0.273 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow y 2)) 1.0)) in x 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.273 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of 1.0 in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 (pow y 2)) 1.0)) in y 0.275 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.275 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.276 * [taylor]: Taking taylor expansion of 1.0 in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) 1.0) y)) in y 0.279 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) 1.0) y) in y 0.279 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.279 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.280 * [taylor]: Taking taylor expansion of 1.0 in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.284 * [taylor]: Taking taylor expansion of 0 in y 0.291 * [taylor]: Taking taylor expansion of 0 in y 0.298 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow y 2)) 1.0))) in (x y) around 0 0.298 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow y 2)) 1.0))) in y 0.298 * [taylor]: Taking taylor expansion of -1 in y 0.298 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow y 2)) 1.0)) in y 0.298 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.298 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.298 * [taylor]: Taking taylor expansion of y in y 0.298 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.298 * [taylor]: Taking taylor expansion of x in y 0.298 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.298 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.298 * [taylor]: Taking taylor expansion of y in y 0.299 * [taylor]: Taking taylor expansion of 1.0 in y 0.300 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow y 2)) 1.0))) in x 0.300 * [taylor]: Taking taylor expansion of -1 in x 0.300 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow y 2)) 1.0)) in x 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.300 * [taylor]: Taking taylor expansion of y in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.300 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.300 * [taylor]: Taking taylor expansion of y in x 0.300 * [taylor]: Taking taylor expansion of 1.0 in x 0.301 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow y 2)) 1.0))) in x 0.301 * [taylor]: Taking taylor expansion of -1 in x 0.301 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow y 2)) 1.0)) in x 0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.301 * [taylor]: Taking taylor expansion of y in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.302 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.302 * [taylor]: Taking taylor expansion of y in x 0.302 * [taylor]: Taking taylor expansion of 1.0 in x 0.303 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (pow y 2)) 1.0)) in y 0.303 * [taylor]: Taking taylor expansion of -1 in y 0.303 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.303 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of 1.0 in y 0.305 * [taylor]: Taking taylor expansion of (- (/ 1 (* (- (/ 1 (pow y 2)) 1.0) y))) in y 0.306 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) 1.0) y)) in y 0.306 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) 1.0) y) in y 0.306 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.306 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.306 * [taylor]: Taking taylor expansion of y in y 0.306 * [taylor]: Taking taylor expansion of 1.0 in y 0.306 * [taylor]: Taking taylor expansion of y in y 0.311 * [taylor]: Taking taylor expansion of 0 in y 0.319 * [taylor]: Taking taylor expansion of 0 in y 0.326 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.326 * [approximate]: Taking taylor expansion of (/ (* (- y 1.0) (+ x y)) (- (pow y 2) 1.0)) in (x y) around 0 0.327 * [taylor]: Taking taylor expansion of (/ (* (- y 1.0) (+ x y)) (- (pow y 2) 1.0)) in y 0.327 * [taylor]: Taking taylor expansion of (* (- y 1.0) (+ x y)) in y 0.327 * [taylor]: Taking taylor expansion of (- y 1.0) in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of 1.0 in y 0.327 * [taylor]: Taking taylor expansion of (+ x y) in y 0.327 * [taylor]: Taking taylor expansion of x in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in y 0.327 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of 1.0 in y 0.329 * [taylor]: Taking taylor expansion of (/ (* (- y 1.0) (+ x y)) (- (pow y 2) 1.0)) in x 0.329 * [taylor]: Taking taylor expansion of (* (- y 1.0) (+ x y)) in x 0.329 * [taylor]: Taking taylor expansion of (- y 1.0) in x 0.329 * [taylor]: Taking taylor expansion of y in x 0.329 * [taylor]: Taking taylor expansion of 1.0 in x 0.329 * [taylor]: Taking taylor expansion of (+ x y) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of y in x 0.329 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in x 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.329 * [taylor]: Taking taylor expansion of y in x 0.329 * [taylor]: Taking taylor expansion of 1.0 in x 0.330 * [taylor]: Taking taylor expansion of (/ (* (- y 1.0) (+ x y)) (- (pow y 2) 1.0)) in x 0.330 * [taylor]: Taking taylor expansion of (* (- y 1.0) (+ x y)) in x 0.330 * [taylor]: Taking taylor expansion of (- y 1.0) in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.330 * [taylor]: Taking taylor expansion of 1.0 in x 0.330 * [taylor]: Taking taylor expansion of (+ x y) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.330 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in x 0.330 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.331 * [taylor]: Taking taylor expansion of y in x 0.331 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [taylor]: Taking taylor expansion of (/ (* y (- y 1.0)) (- (pow y 2) 1.0)) in y 0.332 * [taylor]: Taking taylor expansion of (* y (- y 1.0)) in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of (- y 1.0) in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of 1.0 in y 0.332 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in y 0.332 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of 1.0 in y 0.338 * [taylor]: Taking taylor expansion of (- (/ y (- (pow y 2) 1.0)) (* 1.0 (/ 1 (- (pow y 2) 1.0)))) in y 0.338 * [taylor]: Taking taylor expansion of (/ y (- (pow y 2) 1.0)) in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in y 0.338 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of 1.0 in y 0.339 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (- (pow y 2) 1.0))) in y 0.339 * [taylor]: Taking taylor expansion of 1.0 in y 0.339 * [taylor]: Taking taylor expansion of (/ 1 (- (pow y 2) 1.0)) in y 0.339 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in y 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.339 * [taylor]: Taking taylor expansion of 1.0 in y 0.343 * [taylor]: Taking taylor expansion of 0 in y 0.350 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) 1.0)) (- (/ 1 (pow y 2)) 1.0)) in (x y) around 0 0.350 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) 1.0)) (- (/ 1 (pow y 2)) 1.0)) in y 0.350 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) 1.0)) in y 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.351 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.351 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.351 * [taylor]: Taking taylor expansion of x in y 0.351 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1.0) in y 0.351 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.351 * [taylor]: Taking taylor expansion of 1.0 in y 0.351 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.351 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.352 * [taylor]: Taking taylor expansion of 1.0 in y 0.353 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) 1.0)) (- (/ 1 (pow y 2)) 1.0)) in x 0.353 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) 1.0)) in x 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.353 * [taylor]: Taking taylor expansion of y in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1.0) in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.353 * [taylor]: Taking taylor expansion of y in x 0.353 * [taylor]: Taking taylor expansion of 1.0 in x 0.353 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.353 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.353 * [taylor]: Taking taylor expansion of y in x 0.354 * [taylor]: Taking taylor expansion of 1.0 in x 0.355 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) 1.0)) (- (/ 1 (pow y 2)) 1.0)) in x 0.355 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) 1.0)) in x 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.355 * [taylor]: Taking taylor expansion of y in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1.0) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.355 * [taylor]: Taking taylor expansion of y in x 0.356 * [taylor]: Taking taylor expansion of 1.0 in x 0.356 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.356 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.356 * [taylor]: Taking taylor expansion of y in x 0.356 * [taylor]: Taking taylor expansion of 1.0 in x 0.357 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) 1.0) (- (/ 1 (pow y 2)) 1.0)) in y 0.357 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1.0) in y 0.357 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.357 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of 1.0 in y 0.358 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.358 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.358 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of 1.0 in y 0.361 * [taylor]: Taking taylor expansion of (- (/ 1 (* (- (/ 1 (pow y 2)) 1.0) (pow y 2))) (* 1.0 (/ 1 (* (- (/ 1 (pow y 2)) 1.0) y)))) in y 0.361 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) 1.0) (pow y 2))) in y 0.361 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) 1.0) (pow y 2)) in y 0.361 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.361 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.361 * [taylor]: Taking taylor expansion of y in y 0.362 * [taylor]: Taking taylor expansion of 1.0 in y 0.362 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.362 * [taylor]: Taking taylor expansion of y in y 0.363 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* (- (/ 1 (pow y 2)) 1.0) y))) in y 0.363 * [taylor]: Taking taylor expansion of 1.0 in y 0.363 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) 1.0) y)) in y 0.363 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) 1.0) y) in y 0.363 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.363 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.363 * [taylor]: Taking taylor expansion of y in y 0.363 * [taylor]: Taking taylor expansion of 1.0 in y 0.363 * [taylor]: Taking taylor expansion of y in y 0.369 * [taylor]: Taking taylor expansion of 0 in y 0.373 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) (- (/ 1 (pow y 2)) 1.0)) in (x y) around 0 0.373 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) (- (/ 1 (pow y 2)) 1.0)) in y 0.373 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in y 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.373 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.373 * [taylor]: Taking taylor expansion of y in y 0.373 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.373 * [taylor]: Taking taylor expansion of x in y 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.374 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.374 * [taylor]: Taking taylor expansion of y in y 0.374 * [taylor]: Taking taylor expansion of 1.0 in y 0.374 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.374 * [taylor]: Taking taylor expansion of y in y 0.374 * [taylor]: Taking taylor expansion of 1.0 in y 0.376 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) (- (/ 1 (pow y 2)) 1.0)) in x 0.376 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in x 0.376 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.376 * [taylor]: Taking taylor expansion of y in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.376 * [taylor]: Taking taylor expansion of y in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.376 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.376 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.376 * [taylor]: Taking taylor expansion of y in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.377 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) (- (/ 1 (pow y 2)) 1.0)) in x 0.377 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in x 0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.377 * [taylor]: Taking taylor expansion of y in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.378 * [taylor]: Taking taylor expansion of y in x 0.378 * [taylor]: Taking taylor expansion of 1.0 in x 0.378 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.378 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.378 * [taylor]: Taking taylor expansion of y in x 0.378 * [taylor]: Taking taylor expansion of 1.0 in x 0.379 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (- (/ 1 (pow y 2)) 1.0)) in y 0.379 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.379 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of 1.0 in y 0.380 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.380 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of 1.0 in y 0.383 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (* (- (/ 1 (pow y 2)) 1.0) y))) (/ 1 (* (- (/ 1 (pow y 2)) 1.0) (pow y 2)))) in y 0.383 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* (- (/ 1 (pow y 2)) 1.0) y))) in y 0.383 * [taylor]: Taking taylor expansion of 1.0 in y 0.383 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) 1.0) y)) in y 0.383 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) 1.0) y) in y 0.383 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.383 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.383 * [taylor]: Taking taylor expansion of y in y 0.384 * [taylor]: Taking taylor expansion of 1.0 in y 0.384 * [taylor]: Taking taylor expansion of y in y 0.386 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) 1.0) (pow y 2))) in y 0.386 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) 1.0) (pow y 2)) in y 0.386 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.386 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.386 * [taylor]: Taking taylor expansion of y in y 0.387 * [taylor]: Taking taylor expansion of 1.0 in y 0.387 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.387 * [taylor]: Taking taylor expansion of y in y 0.391 * [taylor]: Taking taylor expansion of 0 in y 0.394 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2) 0.394 * [approximate]: Taking taylor expansion of (- (pow y 2) 1.0) in (y) around 0 0.394 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in y 0.394 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.394 * [taylor]: Taking taylor expansion of y in y 0.394 * [taylor]: Taking taylor expansion of 1.0 in y 0.394 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in y 0.394 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.394 * [taylor]: Taking taylor expansion of y in y 0.394 * [taylor]: Taking taylor expansion of 1.0 in y 0.403 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in (y) around 0 0.403 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.403 * [taylor]: Taking taylor expansion of y in y 0.404 * [taylor]: Taking taylor expansion of 1.0 in y 0.404 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.404 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.404 * [taylor]: Taking taylor expansion of y in y 0.404 * [taylor]: Taking taylor expansion of 1.0 in y 0.418 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in (y) around 0 0.418 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.418 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.418 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.418 * [taylor]: Taking taylor expansion of y in y 0.419 * [taylor]: Taking taylor expansion of 1.0 in y 0.419 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.419 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.419 * [taylor]: Taking taylor expansion of 1.0 in y 0.437 * * * [progress]: simplifying candidates 0.440 * [simplify]: Simplifying using # : (expm1 (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (log1p (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (- (log (+ x y)) (log (- (* y y) (* 1.0 1.0)))) (log (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (exp (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (- (* y y) (* 1.0 1.0)) (- (* y y) (* 1.0 1.0))) (- (* y y) (* 1.0 1.0)))) (* (cbrt (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (cbrt (/ (+ x y) (- (* y y) (* 1.0 1.0))))) (cbrt (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (* (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (sqrt (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (sqrt (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (- (+ x y)) (- (- (* y y) (* 1.0 1.0))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (- (* y y) (* 1.0 1.0))) (cbrt (- (* y y) (* 1.0 1.0))))) (/ (cbrt (+ x y)) (cbrt (- (* y y) (* 1.0 1.0)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (- (* y y) (* 1.0 1.0)))) (/ (cbrt (+ x y)) (sqrt (- (* y y) (* 1.0 1.0)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (- (* y y) (* 1.0 1.0))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ y 1.0)) (/ (cbrt (+ x y)) (- y 1.0)) (/ (sqrt (+ x y)) (* (cbrt (- (* y y) (* 1.0 1.0))) (cbrt (- (* y y) (* 1.0 1.0))))) (/ (sqrt (+ x y)) (cbrt (- (* y y) (* 1.0 1.0)))) (/ (sqrt (+ x y)) (sqrt (- (* y y) (* 1.0 1.0)))) (/ (sqrt (+ x y)) (sqrt (- (* y y) (* 1.0 1.0)))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (- (* y y) (* 1.0 1.0))) (/ (sqrt (+ x y)) (+ y 1.0)) (/ (sqrt (+ x y)) (- y 1.0)) (/ 1 (* (cbrt (- (* y y) (* 1.0 1.0))) (cbrt (- (* y y) (* 1.0 1.0))))) (/ (+ x y) (cbrt (- (* y y) (* 1.0 1.0)))) (/ 1 (sqrt (- (* y y) (* 1.0 1.0)))) (/ (+ x y) (sqrt (- (* y y) (* 1.0 1.0)))) (/ 1 1) (/ (+ x y) (- (* y y) (* 1.0 1.0))) (/ 1 (+ y 1.0)) (/ (+ x y) (- y 1.0)) (/ 1 (* (cbrt (- (* y y) (* 1.0 1.0))) (cbrt (- (* y y) (* 1.0 1.0))))) (/ (+ x y) (cbrt (- (* y y) (* 1.0 1.0)))) (/ 1 (sqrt (- (* y y) (* 1.0 1.0)))) (/ (+ x y) (sqrt (- (* y y) (* 1.0 1.0)))) (/ 1 1) (/ (+ x y) (- (* y y) (* 1.0 1.0))) (/ 1 (+ y 1.0)) (/ (+ x y) (- y 1.0)) (/ 1 (- (* y y) (* 1.0 1.0))) (/ (- (* y y) (* 1.0 1.0)) (+ x y)) (/ (+ x y) (* (cbrt (- (* y y) (* 1.0 1.0))) (cbrt (- (* y y) (* 1.0 1.0))))) (/ (+ x y) (sqrt (- (* y y) (* 1.0 1.0)))) (/ (+ x y) 1) (/ (+ x y) (+ y 1.0)) (/ (- (* y y) (* 1.0 1.0)) (cbrt (+ x y))) (/ (- (* y y) (* 1.0 1.0)) (sqrt (+ x y))) (/ (- (* y y) (* 1.0 1.0)) (+ x y)) (/ (- (* y y) (* 1.0 1.0)) (+ x y)) (/ (+ x y) (- (pow (* y y) 3) (pow (* 1.0 1.0) 3))) (/ (+ x y) (- (* (* y y) (* y y)) (* (* 1.0 1.0) (* 1.0 1.0)))) (* (- (* 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1.0))) (* (/ (sqrt (+ x y)) (sqrt (- (* y y) (* 1.0 1.0)))) (sqrt (- y 1.0))) (* (/ (sqrt (+ x y)) (sqrt (- (* y y) (* 1.0 1.0)))) (sqrt (- y 1.0))) (* (- (/ (pow (cbrt y) 3) (+ y 1.0)) (/ 1.0 (+ y 1.0))) (/ (+ x y) (- y 1.0))) (* (/ (fma (- 1.0) 1 1.0) (+ y 1.0)) (/ (+ x y) (- y 1.0))) (* (- (/ (pow (cbrt y) 3) (+ y 1.0)) (/ 1.0 (+ y 1.0))) (/ (+ x y) (- y 1.0))) (* (/ (fma (- 1.0) 1 1.0) (+ y 1.0)) (/ (+ x y) (- y 1.0))) (* (- (/ (pow (cbrt y) 3) (+ y 1.0)) (/ 1.0 (+ y 1.0))) (/ (+ x y) (- y 1.0))) (* (/ (fma (- 1.0) 1 1.0) (+ y 1.0)) (/ (+ x y) (- y 1.0))) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0)) (* (/ (fma (- 1.0) 1 1.0) (+ y 1.0)) (/ (+ x y) (- y 1.0))) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0)) (* (/ (fma (- 1.0) 1 1.0) (+ y 1.0)) (/ (+ x y) (- y 1.0))) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0)) (* (/ (fma (- 1.0) 1 1.0) (+ y 1.0)) (/ (+ x y) (- y 1.0))) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0)) (* (/ (fma (- 1.0) 1 1.0) (+ y 1.0)) (/ (+ x y) (- y 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1.0) 1 1.0) (+ y 1.0)) (/ (+ x y) (- y 1.0))) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0)) (* (/ (fma (- 1.0) 1 1.0) (+ y 1.0)) (/ (+ x y) (- y 1.0))) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0)) (* (/ (fma (- 1.0) 1 1.0) (+ y 1.0)) (/ (+ x y) (- y 1.0))) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0)) (* (/ (fma (- 1.0) 1 1.0) (+ y 1.0)) (/ (+ x y) (- y 1.0))) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0)) (* (/ (fma (- 1.0) 1 1.0) (+ y 1.0)) (/ (+ x y) (- y 1.0))) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) y) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- 1.0)) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) y) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- 1.0)) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (sqrt (- y 1.0))) (/ (+ x y) (- (* y y) (* 1.0 1.0))) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (+ (sqrt y) (sqrt 1.0))) (/ (+ x y) (- (* y y) (* 1.0 1.0))) (* (cbrt (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (- y 1.0)) (* (sqrt (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (- y 1.0)) (* (/ (cbrt (+ x y)) (cbrt (- (* y y) (* 1.0 1.0)))) (- y 1.0)) (* (/ (cbrt (+ x y)) (sqrt (- (* y y) (* 1.0 1.0)))) (- y 1.0)) (* (/ (cbrt (+ x y)) (- (* y y) (* 1.0 1.0))) (- y 1.0)) (* (/ (cbrt (+ x y)) (- y 1.0)) (- y 1.0)) (* (/ (sqrt (+ x y)) (cbrt (- (* y y) (* 1.0 1.0)))) (- y 1.0)) (* (/ (sqrt (+ x y)) (sqrt (- (* y y) (* 1.0 1.0)))) (- y 1.0)) (* (/ (sqrt (+ x y)) (- (* y y) (* 1.0 1.0))) (- y 1.0)) (* (/ (sqrt (+ x y)) (- y 1.0)) (- y 1.0)) (* (/ (+ x y) (cbrt (- (* y y) (* 1.0 1.0)))) (- y 1.0)) (* (/ (+ x y) (sqrt (- (* y y) (* 1.0 1.0)))) (- y 1.0)) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0)) (* (/ (+ x y) (- y 1.0)) (- y 1.0)) (* (/ (+ x y) (cbrt (- (* y y) (* 1.0 1.0)))) (- y 1.0)) (* (/ (+ x y) (sqrt (- (* y y) (* 1.0 1.0)))) (- y 1.0)) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0)) (* (/ (+ x y) (- y 1.0)) (- y 1.0)) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0)) (/ (- y 1.0) (- (* y y) (* 1.0 1.0))) (fma (- y 1.0) (* (* 1.0 1.0) (fma y y (* 1.0 1.0))) (* (- y 1.0) (pow y 4))) (* (- y 1.0) (fma y y (* 1.0 1.0))) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- (pow y 3) (pow 1.0 3))) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- (* y y) (* 1.0 1.0))) (* (+ x y) (- y 1.0)) (- (* y y) (* 1.0 1.0)) (fma (- 1.0) 1.0 (* 1.0 1.0)) (expm1 (- (* y y) (* 1.0 1.0))) (log1p (- (* y y) (* 1.0 1.0))) (- (* 1.0 1.0)) (exp (- (* y y) (* 1.0 1.0))) (log (- (* y y) (* 1.0 1.0))) (exp (- (* y y) (* 1.0 1.0))) (* (cbrt (- (* y y) (* 1.0 1.0))) (cbrt (- (* y y) (* 1.0 1.0)))) (cbrt (- (* y y) (* 1.0 1.0))) (pow (- (* y y) (* 1.0 1.0)) 3) (sqrt (- (* y y) (* 1.0 1.0))) (sqrt (- (* y y) (* 1.0 1.0))) (- (pow (* y y) 3) (pow (* 1.0 1.0) 3)) (fma 1.0 (* 1.0 (fma y y (* 1.0 1.0))) (pow y 4)) (- (* 1.0 1.0)) (fma (- (pow 1.0 3)) 1.0 (pow y 4)) (fma y y (* 1.0 1.0)) (+ y 1.0) (- y 1.0) (- (* 1.0 1.0)) (- (- (* 1.0 (* x (pow y 2)))) (fma 1.0 x (* 1.0 y))) (+ (+ (/ 1.0 (pow y 3)) (/ x (pow y 2))) (/ 1 y)) (+ (+ (/ 1.0 (pow y 3)) (/ x (pow y 2))) (/ 1 y)) (* 1.0 (- (+ x y) (* x y))) (+ 1 (- (/ x y) (/ 1.0 y))) (+ 1 (- (/ x y) (/ 1.0 y))) (- (pow y 2) 1.0) (- (pow y 2) 1.0) (- (pow y 2) 1.0) 0.523 * * * [progress]: adding candidates to table 0.721 * * [progress]: iteration 3 / 4 0.721 * * * [progress]: picking best candidate 0.722 * * * * [pick]: Picked # 0.722 * * * [progress]: localizing error 0.728 * * * [progress]: generating rewritten candidates 0.728 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.746 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.810 * * * [progress]: generating series expansions 0.811 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.811 * [approximate]: Taking taylor expansion of (- (/ x y) (* 1.0 (/ 1 y))) in (x y) around 0 0.811 * [taylor]: Taking taylor expansion of (- (/ x y) (* 1.0 (/ 1 y))) in y 0.811 * [taylor]: Taking taylor expansion of (/ x y) in y 0.811 * [taylor]: Taking taylor expansion of x in y 0.811 * [taylor]: Taking taylor expansion of y in y 0.811 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.811 * [taylor]: Taking taylor expansion of 1.0 in y 0.811 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.811 * [taylor]: Taking taylor expansion of y in y 0.811 * [taylor]: Taking taylor expansion of (- (/ x y) (* 1.0 (/ 1 y))) in x 0.812 * [taylor]: Taking taylor expansion of (/ x y) in x 0.812 * [taylor]: Taking taylor expansion of x in x 0.812 * [taylor]: Taking taylor expansion of y in x 0.812 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.812 * [taylor]: Taking taylor expansion of 1.0 in x 0.812 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.812 * [taylor]: Taking taylor expansion of y in x 0.812 * [taylor]: Taking taylor expansion of (- (/ x y) (* 1.0 (/ 1 y))) in x 0.812 * [taylor]: Taking taylor expansion of (/ x y) in x 0.812 * [taylor]: Taking taylor expansion of x in x 0.812 * [taylor]: Taking taylor expansion of y in x 0.812 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.812 * [taylor]: Taking taylor expansion of 1.0 in x 0.812 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.812 * [taylor]: Taking taylor expansion of y in x 0.812 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y))) in y 0.812 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.812 * [taylor]: Taking taylor expansion of 1.0 in y 0.812 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.812 * [taylor]: Taking taylor expansion of y in y 0.814 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.814 * [taylor]: Taking taylor expansion of y in y 0.816 * [taylor]: Taking taylor expansion of 0 in y 0.819 * [taylor]: Taking taylor expansion of 0 in y 0.822 * [approximate]: Taking taylor expansion of (- (/ y x) (* 1.0 y)) in (x y) around 0 0.822 * [taylor]: Taking taylor expansion of (- (/ y x) (* 1.0 y)) in y 0.822 * [taylor]: Taking taylor expansion of (/ y x) in y 0.822 * [taylor]: Taking taylor expansion of y in y 0.822 * [taylor]: Taking taylor expansion of x in y 0.822 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.822 * [taylor]: Taking taylor expansion of 1.0 in y 0.822 * [taylor]: Taking taylor expansion of y in y 0.822 * [taylor]: Taking taylor expansion of (- (/ y x) (* 1.0 y)) in x 0.822 * [taylor]: Taking taylor expansion of (/ y x) in x 0.822 * [taylor]: Taking taylor expansion of y in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.822 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 0.822 * [taylor]: Taking taylor expansion of 1.0 in x 0.822 * [taylor]: Taking taylor expansion of y in x 0.822 * [taylor]: Taking taylor expansion of (- (/ y x) (* 1.0 y)) in x 0.822 * [taylor]: Taking taylor expansion of (/ y x) in x 0.822 * [taylor]: Taking taylor expansion of y in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.822 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 0.822 * [taylor]: Taking taylor expansion of 1.0 in x 0.822 * [taylor]: Taking taylor expansion of y in x 0.822 * [taylor]: Taking taylor expansion of y in y 0.823 * [taylor]: Taking taylor expansion of (- (* 1.0 y)) in y 0.823 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.823 * [taylor]: Taking taylor expansion of 1.0 in y 0.823 * [taylor]: Taking taylor expansion of y in y 0.825 * [taylor]: Taking taylor expansion of 0 in y 0.828 * [taylor]: Taking taylor expansion of 0 in y 0.832 * [taylor]: Taking taylor expansion of 0 in y 0.832 * [approximate]: Taking taylor expansion of (+ (/ y x) (* 1.0 y)) in (x y) around 0 0.832 * [taylor]: Taking taylor expansion of (+ (/ y x) (* 1.0 y)) in y 0.832 * [taylor]: Taking taylor expansion of (/ y x) in y 0.832 * [taylor]: Taking taylor expansion of y in y 0.832 * [taylor]: Taking taylor expansion of x in y 0.833 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.833 * [taylor]: Taking taylor expansion of 1.0 in y 0.833 * [taylor]: Taking taylor expansion of y in y 0.833 * [taylor]: Taking taylor expansion of (+ (/ y x) (* 1.0 y)) in x 0.833 * [taylor]: Taking taylor expansion of (/ y x) in x 0.833 * [taylor]: Taking taylor expansion of y in x 0.833 * [taylor]: Taking taylor expansion of x in x 0.833 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 0.833 * [taylor]: Taking taylor expansion of 1.0 in x 0.833 * [taylor]: Taking taylor expansion of y in x 0.833 * [taylor]: Taking taylor expansion of (+ (/ y x) (* 1.0 y)) in x 0.833 * [taylor]: Taking taylor expansion of (/ y x) in x 0.833 * [taylor]: Taking taylor expansion of y in x 0.833 * [taylor]: Taking taylor expansion of x in x 0.833 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 0.833 * [taylor]: Taking taylor expansion of 1.0 in x 0.833 * [taylor]: Taking taylor expansion of y in x 0.833 * [taylor]: Taking taylor expansion of y in y 0.834 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.834 * [taylor]: Taking taylor expansion of 1.0 in y 0.834 * [taylor]: Taking taylor expansion of y in y 0.835 * [taylor]: Taking taylor expansion of 0 in y 0.838 * [taylor]: Taking taylor expansion of 0 in y 0.849 * [taylor]: Taking taylor expansion of 0 in y 0.850 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.850 * [approximate]: Taking taylor expansion of (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) in (x y) around 0 0.850 * [taylor]: Taking taylor expansion of (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) in y 0.850 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.850 * [taylor]: Taking taylor expansion of (/ x y) in y 0.850 * [taylor]: Taking taylor expansion of x in y 0.850 * [taylor]: Taking taylor expansion of y in y 0.850 * [taylor]: Taking taylor expansion of 1 in y 0.850 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.850 * [taylor]: Taking taylor expansion of 1.0 in y 0.850 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.850 * [taylor]: Taking taylor expansion of y in y 0.850 * [taylor]: Taking taylor expansion of (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) in x 0.850 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.851 * [taylor]: Taking taylor expansion of (/ x y) in x 0.851 * [taylor]: Taking taylor expansion of x in x 0.851 * [taylor]: Taking taylor expansion of y in x 0.851 * [taylor]: Taking taylor expansion of 1 in x 0.851 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.851 * [taylor]: Taking taylor expansion of 1.0 in x 0.851 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.851 * [taylor]: Taking taylor expansion of y in x 0.851 * [taylor]: Taking taylor expansion of (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) in x 0.851 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.851 * [taylor]: Taking taylor expansion of (/ x y) in x 0.851 * [taylor]: Taking taylor expansion of x in x 0.851 * [taylor]: Taking taylor expansion of y in x 0.851 * [taylor]: Taking taylor expansion of 1 in x 0.851 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.851 * [taylor]: Taking taylor expansion of 1.0 in x 0.851 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.851 * [taylor]: Taking taylor expansion of y in x 0.851 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 y))) in y 0.851 * [taylor]: Taking taylor expansion of 1 in y 0.851 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.851 * [taylor]: Taking taylor expansion of 1.0 in y 0.851 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.852 * [taylor]: Taking taylor expansion of y in y 0.854 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.854 * [taylor]: Taking taylor expansion of y in y 0.856 * [approximate]: Taking taylor expansion of (- (+ (/ y x) 1) (* 1.0 y)) in (x y) around 0 0.856 * [taylor]: Taking taylor expansion of (- (+ (/ y x) 1) (* 1.0 y)) in y 0.856 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.856 * [taylor]: Taking taylor expansion of (/ y x) in y 0.856 * [taylor]: Taking taylor expansion of y in y 0.856 * [taylor]: Taking taylor expansion of x in y 0.856 * [taylor]: Taking taylor expansion of 1 in y 0.856 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.856 * [taylor]: Taking taylor expansion of 1.0 in y 0.856 * [taylor]: Taking taylor expansion of y in y 0.856 * [taylor]: Taking taylor expansion of (- (+ (/ y x) 1) (* 1.0 y)) in x 0.856 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 0.856 * [taylor]: Taking taylor expansion of (/ y x) in x 0.856 * [taylor]: Taking taylor expansion of y in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.856 * [taylor]: Taking taylor expansion of 1 in x 0.856 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 0.856 * [taylor]: Taking taylor expansion of 1.0 in x 0.856 * [taylor]: Taking taylor expansion of y in x 0.856 * [taylor]: Taking taylor expansion of (- (+ (/ y x) 1) (* 1.0 y)) in x 0.856 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 0.856 * [taylor]: Taking taylor expansion of (/ y x) in x 0.856 * [taylor]: Taking taylor expansion of y in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.856 * [taylor]: Taking taylor expansion of 1 in x 0.856 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 0.856 * [taylor]: Taking taylor expansion of 1.0 in x 0.856 * [taylor]: Taking taylor expansion of y in x 0.857 * [taylor]: Taking taylor expansion of y in y 0.858 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 y)) in y 0.858 * [taylor]: Taking taylor expansion of 1 in y 0.858 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.858 * [taylor]: Taking taylor expansion of 1.0 in y 0.858 * [taylor]: Taking taylor expansion of y in y 0.860 * [taylor]: Taking taylor expansion of 0 in y 0.863 * [approximate]: Taking taylor expansion of (+ (/ y x) (+ (* 1.0 y) 1)) in (x y) around 0 0.863 * [taylor]: Taking taylor expansion of (+ (/ y x) (+ (* 1.0 y) 1)) in y 0.863 * [taylor]: Taking taylor expansion of (/ y x) in y 0.863 * [taylor]: Taking taylor expansion of y in y 0.863 * [taylor]: Taking taylor expansion of x in y 0.863 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 0.863 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.863 * [taylor]: Taking taylor expansion of 1.0 in y 0.863 * [taylor]: Taking taylor expansion of y in y 0.863 * [taylor]: Taking taylor expansion of 1 in y 0.863 * [taylor]: Taking taylor expansion of (+ (/ y x) (+ (* 1.0 y) 1)) in x 0.863 * [taylor]: Taking taylor expansion of (/ y x) in x 0.863 * [taylor]: Taking taylor expansion of y in x 0.863 * [taylor]: Taking taylor expansion of x in x 0.863 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in x 0.863 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 0.863 * [taylor]: Taking taylor expansion of 1.0 in x 0.863 * [taylor]: Taking taylor expansion of y in x 0.863 * [taylor]: Taking taylor expansion of 1 in x 0.863 * [taylor]: Taking taylor expansion of (+ (/ y x) (+ (* 1.0 y) 1)) in x 0.863 * [taylor]: Taking taylor expansion of (/ y x) in x 0.863 * [taylor]: Taking taylor expansion of y in x 0.863 * [taylor]: Taking taylor expansion of x in x 0.863 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in x 0.863 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 0.863 * [taylor]: Taking taylor expansion of 1.0 in x 0.863 * [taylor]: Taking taylor expansion of y in x 0.863 * [taylor]: Taking taylor expansion of 1 in x 0.863 * [taylor]: Taking taylor expansion of y in y 0.864 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 0.864 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.864 * [taylor]: Taking taylor expansion of 1.0 in y 0.864 * [taylor]: Taking taylor expansion of y in y 0.864 * [taylor]: Taking taylor expansion of 1 in y 0.866 * [taylor]: Taking taylor expansion of 0 in y 0.868 * * * [progress]: simplifying candidates 0.876 * [simplify]: Simplifying using # : (fma (* (cbrt (/ x y)) (cbrt (/ x y))) (cbrt (/ x y)) (- (* (cbrt (/ 1.0 y)) (* (cbrt (/ 1.0 y)) (cbrt (/ 1.0 y)))))) (fma (- (cbrt (/ 1.0 y))) (* (cbrt (/ 1.0 y)) (cbrt (/ 1.0 y))) (* (cbrt (/ 1.0 y)) (* (cbrt (/ 1.0 y)) (cbrt (/ 1.0 y))))) (fma (* (cbrt (/ x y)) (cbrt (/ x y))) (cbrt (/ x y)) (- (* 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(/ (cbrt 1.0) (sqrt y)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt y)))))) (+ 1 (fma x (/ 1 y) (- (* (/ (cbrt 1.0) y) (/ (* (cbrt 1.0) (cbrt 1.0)) 1))))) (+ 1 (fma x (/ 1 y) (- (* (/ (sqrt 1.0) (cbrt y)) (/ (sqrt 1.0) (* (cbrt y) (cbrt y))))))) (+ 1 (fma x (/ 1 y) (- (* (/ (sqrt 1.0) (sqrt y)) (/ (sqrt 1.0) (sqrt y)))))) (+ 1 (fma x (/ 1 y) (- (* (/ (sqrt 1.0) y) (/ (sqrt 1.0) 1))))) (+ 1 (fma x (/ 1 y) (- (* (/ 1.0 (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))))))) (+ 1 (fma x (/ 1 y) (- (* (/ 1.0 (sqrt y)) (/ 1 (sqrt y)))))) (+ 1 (fma x (/ 1 y) (- (* (/ 1.0 y) (/ 1 1))))) (+ 1 (fma x (/ 1 y) (- (* (/ 1.0 y) 1)))) (+ 1 (fma x (/ 1 y) (- (* (/ 1 y) 1.0)))) (+ 1 (/ x y)) (+ 1 (/ x y)) (+ 1 (/ x y)) (- (/ x y) (* 1.0 (/ 1 y))) (- (/ x y) (* 1.0 (/ 1 y))) (- (/ x y) (* 1.0 (/ 1 y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) 0.901 * * [simplify]: iteration 0 : 1103 enodes (cost 6981 ) 0.918 * * [simplify]: iteration 1 : 3497 enodes (cost 5149 ) 0.962 * * [simplify]: iteration 2 : 5001 enodes (cost 5092 ) 0.986 * [simplify]: Simplified to: (- (* (* (cbrt (/ x y)) (cbrt (/ x y))) (cbrt (/ x y))) (/ 1.0 y)) (fma (- (/ 1.0 y)) 1 (/ 1.0 y)) (- (* (* (cbrt (/ x y)) (cbrt (/ x y))) (cbrt (/ x y))) (/ 1.0 y)) (fma (- (/ 1.0 y)) 1 (/ 1.0 y)) (- (* (* (cbrt (/ x y)) (cbrt (/ x y))) (cbrt (/ x y))) (pow (/ (cbrt 1.0) (cbrt y)) 3)) (* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt y) (cbrt y))) (+ (- (/ (cbrt 1.0) (cbrt y))) (/ (cbrt 1.0) (cbrt y)))) (fma (* (cbrt (/ x y)) (cbrt (/ x y))) (cbrt (/ x y)) (- (* (/ (cbrt 1.0) (sqrt y)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt y))))) (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt y)) (+ (- (/ (cbrt 1.0) (sqrt y))) (/ (cbrt 1.0) (sqrt y)))) (fma (cbrt (/ x y)) (* (cbrt (/ x y)) (cbrt (/ x y))) (/ (- (pow (cbrt 1.0) 3)) y)) (+ (/ (pow (cbrt 1.0) 3) (* 1 y)) (/ (- (pow (cbrt 1.0) 3)) y)) (- (* (* (cbrt (/ x y)) (cbrt (/ x y))) (cbrt (/ x y))) (/ (/ (/ 1.0 (cbrt y)) (cbrt y)) (cbrt y))) (* (/ 1 (* (cbrt y) (cbrt y))) 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(sqrt y))) (/ (/ (/ 1.0 (cbrt y)) (cbrt y)) (cbrt y)))) (fma (/ 1 (sqrt y)) (/ x (sqrt y)) (+ (/ (- (/ 1.0 (sqrt y))) (sqrt y)) 1)) (+ 1 (- (* (/ 1 (sqrt y)) (/ x (sqrt y))) (/ 1.0 y))) (+ 1 (- (* (/ 1 (sqrt y)) (/ x (sqrt y))) (/ (/ (/ 1.0 (cbrt y)) (cbrt y)) (cbrt y)))) (fma (/ 1 (sqrt y)) (/ x (sqrt y)) (+ (/ (- (/ 1.0 (sqrt y))) (sqrt y)) 1)) (+ 1 (- (* (/ 1 (sqrt y)) (/ x (sqrt y))) (/ 1.0 y))) (+ 1 (- (* (/ 1 (sqrt y)) (/ x (sqrt y))) (/ 1.0 y))) (+ 1 (- (* (/ 1 (sqrt y)) (/ x (sqrt y))) (/ 1.0 y))) (+ 1 (- (/ x y) (/ 1.0 y))) (+ 1 (- (/ x y) (/ 1.0 y))) (+ 1 (- (/ x y) (pow (/ (cbrt 1.0) (cbrt y)) 3))) (+ 1 (- (/ x y) (* (/ (cbrt 1.0) (sqrt y)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt y))))) (+ (+ 1 (/ x y)) (/ (- (pow (cbrt 1.0) 3)) y)) (+ 1 (- (/ x y) (/ (/ (/ 1.0 (cbrt y)) (cbrt y)) (cbrt y)))) (+ (+ 1 (/ x y)) (/ (- (/ 1.0 (sqrt y))) (sqrt y))) (+ 1 (- (/ x y) (/ 1.0 y))) (+ 1 (- (/ x y) (/ (/ (/ 1.0 (cbrt y)) (cbrt y)) (cbrt y)))) (+ (+ 1 (/ x y)) (/ (- (/ 1.0 (sqrt y))) (sqrt y))) (+ 1 (- (/ x y) (/ 1.0 y))) (+ 1 (- (/ x y) (/ 1.0 y))) (+ 1 (- (/ x y) (/ 1.0 y))) (+ 1 (- (/ x y) (/ 1.0 y))) (+ 1 (- (/ x y) (/ 1.0 y))) (+ 1 (- (/ x y) (pow (/ (cbrt 1.0) (cbrt y)) 3))) (+ 1 (- (/ x y) (* (/ (cbrt 1.0) (sqrt y)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt y))))) (+ (+ 1 (/ x y)) (/ (- (pow (cbrt 1.0) 3)) y)) (+ 1 (- (/ x y) (/ (/ (/ 1.0 (cbrt y)) (cbrt y)) (cbrt y)))) (+ (+ 1 (/ x y)) (/ (- (/ 1.0 (sqrt y))) (sqrt y))) (+ 1 (- (/ x y) (/ 1.0 y))) (+ 1 (- (/ x y) (/ (/ (/ 1.0 (cbrt y)) (cbrt y)) (cbrt y)))) (+ (+ 1 (/ x y)) (/ (- (/ 1.0 (sqrt y))) (sqrt y))) (+ 1 (- (/ x y) (/ 1.0 y))) (+ 1 (- (/ x y) (/ 1.0 y))) (+ 1 (- (/ x y) (/ 1.0 y))) (+ 1 (- (* x (/ 1 y)) (/ 1.0 y))) (+ 1 (- (* x (/ 1 y)) (/ 1.0 y))) (+ 1 (- (* x (/ 1 y)) (pow (/ (cbrt 1.0) (cbrt y)) 3))) (+ 1 (fma x (/ 1 y) (- (* (/ (cbrt 1.0) (sqrt y)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt y)))))) (fma x (/ 1 y) (+ (/ (- (pow (cbrt 1.0) 3)) y) 1)) (+ 1 (- (* x (/ 1 y)) (/ (/ (/ 1.0 (cbrt y)) (cbrt y)) (cbrt y)))) (fma x (/ 1 y) (+ (/ (- (/ 1.0 (sqrt y))) (sqrt y)) 1)) (+ 1 (- (* x (/ 1 y)) (/ 1.0 y))) (+ 1 (- (* x (/ 1 y)) (/ (/ (/ 1.0 (cbrt y)) (cbrt y)) (cbrt y)))) (fma x (/ 1 y) (+ (/ (- (/ 1.0 (sqrt y))) (sqrt y)) 1)) (+ 1 (- (* x (/ 1 y)) (/ 1.0 y))) (+ 1 (- (* x (/ 1 y)) (/ 1.0 y))) (+ 1 (- (* x (/ 1 y)) (/ 1.0 y))) (+ 1 (/ x y)) (+ 1 (/ x y)) (+ 1 (/ x y)) (- (/ x y) (/ 1.0 y)) (- (/ x y) (/ 1.0 y)) (- (/ x y) (/ 1.0 y)) (+ 1 (- (/ x y) (/ 1.0 y))) (+ 1 (- (/ x y) (/ 1.0 y))) (+ 1 (- (/ x y) (/ 1.0 y))) 0.988 * * * [progress]: adding candidates to table 1.746 * [progress]: [Phase 3 of 3] Extracting. 1.747 * * [regime]: Finding splitpoints for: (# # #) 1.747 * * * [regime-changes]: Trying 3 branch expressions: ((/ (+ x y) (+ y 1.0)) y x) 1.747 * * * * [regimes]: Trying to branch on (/ (+ x y) (+ y 1.0)) from (# # #) 1.759 * * * * [regimes]: Trying to branch on y from (# # #) 1.771 * * * * [regimes]: Trying to branch on x from (# # #) 1.786 * * * [regime]: Found split indices: #