8.165 * [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) (+ y 1.0)) 0.018 * * [simplify]: iteration 0 : 8 enodes (cost 3 ) 0.019 * * [simplify]: iteration 1 : 8 enodes (cost 3 ) 0.019 * [simplify]: Simplified to: (/ (+ x y) (+ y 1.0)) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.025 * * * [progress]: generating rewritten candidates 0.025 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.037 * * * [progress]: generating series expansions 0.037 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.037 * [approximate]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in (x y) around 0 0.037 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in y 0.037 * [taylor]: Taking taylor expansion of (+ x y) in y 0.037 * [taylor]: Taking taylor expansion of x in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of 1.0 in y 0.037 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in x 0.037 * [taylor]: Taking taylor expansion of (+ x y) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of 1.0 in x 0.037 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in x 0.038 * [taylor]: Taking taylor expansion of (+ x y) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of 1.0 in x 0.038 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of 1.0 in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in y 0.039 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of 1.0 in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in (x y) around 0 0.042 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in y 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.043 * [taylor]: Taking taylor expansion of x in y 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of 1.0 in y 0.044 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in x 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of 1.0 in x 0.045 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in x 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of 1.0 in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of 1.0 in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in y 0.047 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of 1.0 in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in (x y) around 0 0.055 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in y 0.055 * [taylor]: Taking taylor expansion of -1 in y 0.055 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y))) in y 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.055 * [taylor]: Taking taylor expansion of x in y 0.055 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.055 * [taylor]: Taking taylor expansion of 1.0 in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in x 0.056 * [taylor]: Taking taylor expansion of -1 in x 0.056 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y))) in x 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 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 x) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.057 * [taylor]: Taking taylor expansion of 1.0 in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in x 0.057 * [taylor]: Taking taylor expansion of -1 in x 0.057 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y))) in x 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.057 * [taylor]: Taking taylor expansion of 1.0 in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of (/ -1 (- 1.0 (/ 1 y))) in y 0.058 * [taylor]: Taking taylor expansion of -1 in y 0.058 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.058 * [taylor]: Taking taylor expansion of 1.0 in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of (- (/ 1 (* y (- 1.0 (/ 1 y))))) in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 (* y (- 1.0 (/ 1 y)))) in y 0.060 * [taylor]: Taking taylor expansion of (* y (- 1.0 (/ 1 y))) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.060 * [taylor]: Taking taylor expansion of 1.0 in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.072 * * * [progress]: simplifying candidates 0.073 * [simplify]: Simplifying using # : (- (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))) 0.077 * * [simplify]: iteration 0 : 191 enodes (cost 254 ) 0.080 * * [simplify]: iteration 1 : 588 enodes (cost 238 ) 0.089 * * [simplify]: iteration 2 : 1797 enodes (cost 238 ) 0.118 * * [simplify]: iteration 3 : 5001 enodes (cost 236 ) 0.119 * [simplify]: Simplified to: (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))) (* (+ (* y (- y x)) (* x x)) (+ y 1.0)) (* (+ y 1.0) (- x y)) (* 1.0 (- (+ x y) (* x y))) (- (/ x y) (- (/ 1.0 y) 1)) (- (/ x y) (- (/ 1.0 y) 1)) 0.120 * * * [progress]: adding candidates to table 0.177 * * [progress]: iteration 2 / 4 0.177 * * * [progress]: picking best candidate 0.180 * * * * [pick]: Picked # 0.180 * * * [progress]: localizing error 0.185 * * * [progress]: generating rewritten candidates 0.185 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.206 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.213 * * * [progress]: generating series expansions 0.213 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.213 * [approximate]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in (x y) around 0 0.213 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in y 0.213 * [taylor]: Taking taylor expansion of (+ x y) in y 0.213 * [taylor]: Taking taylor expansion of x in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.213 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.214 * [taylor]: Taking taylor expansion of 1.0 in y 0.214 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in x 0.214 * [taylor]: Taking taylor expansion of (+ x y) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of y in x 0.214 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.214 * [taylor]: Taking taylor expansion of y in x 0.214 * [taylor]: Taking taylor expansion of 1.0 in x 0.214 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in x 0.214 * [taylor]: Taking taylor expansion of (+ x y) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of y in x 0.214 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.214 * [taylor]: Taking taylor expansion of y in x 0.214 * [taylor]: Taking taylor expansion of 1.0 in x 0.214 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.214 * [taylor]: Taking taylor expansion of y in y 0.214 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.214 * [taylor]: Taking taylor expansion of y in y 0.214 * [taylor]: Taking taylor expansion of 1.0 in y 0.216 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in y 0.216 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.216 * [taylor]: Taking taylor expansion of y in y 0.216 * [taylor]: Taking taylor expansion of 1.0 in y 0.217 * [taylor]: Taking taylor expansion of 0 in y 0.222 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in (x y) around 0 0.222 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in y 0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.222 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.222 * [taylor]: Taking taylor expansion of y in y 0.222 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.222 * [taylor]: Taking taylor expansion of x in y 0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.222 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.222 * [taylor]: Taking taylor expansion of y in y 0.222 * [taylor]: Taking taylor expansion of 1.0 in y 0.223 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in x 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.223 * [taylor]: Taking taylor expansion of y in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.224 * [taylor]: Taking taylor expansion of 1.0 in x 0.224 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in x 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.224 * [taylor]: Taking taylor expansion of 1.0 in x 0.225 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.225 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.225 * [taylor]: Taking taylor expansion of y in y 0.225 * [taylor]: Taking taylor expansion of 1.0 in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in y 0.227 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.227 * [taylor]: Taking taylor expansion of 1.0 in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.230 * [taylor]: Taking taylor expansion of 0 in y 0.234 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in (x y) around 0 0.234 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in y 0.234 * [taylor]: Taking taylor expansion of -1 in y 0.234 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y))) in y 0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.234 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.234 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.234 * [taylor]: Taking taylor expansion of x in y 0.234 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.234 * [taylor]: Taking taylor expansion of 1.0 in y 0.234 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.236 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in x 0.236 * [taylor]: Taking taylor expansion of -1 in x 0.236 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y))) in x 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.236 * [taylor]: Taking taylor expansion of y in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.236 * [taylor]: Taking taylor expansion of 1.0 in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.236 * [taylor]: Taking taylor expansion of y in x 0.236 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in x 0.237 * [taylor]: Taking taylor expansion of -1 in x 0.237 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y))) in x 0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.237 * [taylor]: Taking taylor expansion of y in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.237 * [taylor]: Taking taylor expansion of 1.0 in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.237 * [taylor]: Taking taylor expansion of y in x 0.237 * [taylor]: Taking taylor expansion of (/ -1 (- 1.0 (/ 1 y))) in y 0.237 * [taylor]: Taking taylor expansion of -1 in y 0.237 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.237 * [taylor]: Taking taylor expansion of 1.0 in y 0.238 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of (- (/ 1 (* y (- 1.0 (/ 1 y))))) in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 (* y (- 1.0 (/ 1 y)))) in y 0.240 * [taylor]: Taking taylor expansion of (* y (- 1.0 (/ 1 y))) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.240 * [taylor]: Taking taylor expansion of 1.0 in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.244 * [taylor]: Taking taylor expansion of 0 in y 0.249 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.249 * [approximate]: Taking taylor expansion of (/ 1 (+ y 1.0)) in (y) around 0 0.249 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in y 0.249 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.249 * [taylor]: Taking taylor expansion of y in y 0.249 * [taylor]: Taking taylor expansion of 1.0 in y 0.249 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in y 0.249 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.249 * [taylor]: Taking taylor expansion of y in y 0.249 * [taylor]: Taking taylor expansion of 1.0 in y 0.254 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in (y) around 0 0.254 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.255 * [taylor]: Taking taylor expansion of 1.0 in y 0.255 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.255 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.255 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.255 * [taylor]: Taking taylor expansion of 1.0 in y 0.261 * [approximate]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in (y) around 0 0.261 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in y 0.261 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.262 * [taylor]: Taking taylor expansion of 1.0 in y 0.262 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.262 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in y 0.262 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.263 * [taylor]: Taking taylor expansion of 1.0 in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.270 * * * [progress]: simplifying candidates 0.271 * [simplify]: Simplifying using # : (* (+ x y) (/ 1 (+ y 1.0))) (+ (log (+ x y)) (- (log (+ y 1.0)))) (+ (log (+ x y)) (- 0 (log (+ y 1.0)))) (+ (log (+ x y)) (- (log 1) (log (+ y 1.0)))) (+ (log (+ x y)) (log (/ 1 (+ y 1.0)))) (log (* (+ x y) (/ 1 (+ y 1.0)))) (exp (* (+ x y) (/ 1 (+ y 1.0)))) (* (* (* (+ x y) (+ x y)) (+ x y)) (/ (* (* 1 1) 1) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0)))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (/ 1 (+ y 1.0)) (/ 1 (+ y 1.0))) (/ 1 (+ y 1.0)))) (* (cbrt (* (+ x y) (/ 1 (+ y 1.0)))) (cbrt (* (+ x y) (/ 1 (+ y 1.0))))) (cbrt (* (+ x y) (/ 1 (+ y 1.0)))) (* (* (* (+ x y) (/ 1 (+ y 1.0))) (* (+ x y) (/ 1 (+ y 1.0)))) (* (+ x y) (/ 1 (+ y 1.0)))) (sqrt (* (+ x y) (/ 1 (+ y 1.0)))) (sqrt (* (+ x y) (/ 1 (+ y 1.0)))) (* (+ (pow x 3) (pow y 3)) 1) (* (+ (* x x) (- (* y y) (* x y))) (+ y 1.0)) (* (- (* x x) (* y y)) 1) (* (- x y) (+ y 1.0)) (* (sqrt (+ x y)) (sqrt (/ 1 (+ y 1.0)))) (* (sqrt (+ x y)) (sqrt (/ 1 (+ y 1.0)))) (* (sqrt (+ x y)) (/ (sqrt 1) (sqrt (+ y 1.0)))) (* (sqrt (+ x y)) (/ (sqrt 1) (sqrt (+ y 1.0)))) (* (sqrt (+ x y)) (/ 1 (sqrt (+ y 1.0)))) (* (sqrt (+ x y)) (/ 1 (sqrt (+ y 1.0)))) (* (+ x y) (* (cbrt (/ 1 (+ y 1.0))) (cbrt (/ 1 (+ y 1.0))))) (* (+ x y) (sqrt (/ 1 (+ y 1.0)))) (* (+ x y) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* (+ x y) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y 1.0)))) (* (+ x y) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (+ x y) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (+ x y) (/ (sqrt 1) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* (+ x y) (/ (sqrt 1) (sqrt (+ y 1.0)))) (* (+ x y) (/ (sqrt 1) 1)) (* (+ x y) (/ (sqrt 1) 1)) (* (+ x y) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* (+ x y) (/ 1 (sqrt (+ y 1.0)))) (* (+ x y) (/ 1 1)) (* (+ x y) (/ 1 1)) (* (+ x y) 1) (* (+ x y) 1) (* (+ x y) (/ 1 (+ (pow y 3) (pow 1.0 3)))) (* (+ x y) (/ 1 (- (* y y) (* 1.0 1.0)))) (* (cbrt (+ x y)) (/ 1 (+ y 1.0))) (* (sqrt (+ x y)) (/ 1 (+ y 1.0))) (* (+ x y) (/ 1 (+ y 1.0))) (* (+ x y) (/ 1 (+ y 1.0))) (* (+ x y) 1) (* (+ (pow x 3) (pow y 3)) (/ 1 (+ y 1.0))) (* (- (* x x) (* y y)) (/ 1 (+ y 1.0))) (- 1) (- (log (+ y 1.0))) (- 0 (log (+ y 1.0))) (- (log 1) (log (+ y 1.0))) (log (/ 1 (+ y 1.0))) (exp (/ 1 (+ y 1.0))) (/ (* (* 1 1) 1) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0))) (* (cbrt (/ 1 (+ y 1.0))) (cbrt (/ 1 (+ y 1.0)))) (cbrt (/ 1 (+ y 1.0))) (* (* (/ 1 (+ y 1.0)) (/ 1 (+ y 1.0))) (/ 1 (+ y 1.0))) (sqrt (/ 1 (+ y 1.0))) (sqrt (/ 1 (+ y 1.0))) (- 1) (- (+ y 1.0)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt 1) (cbrt (+ y 1.0))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y 1.0))) (/ (cbrt 1) (sqrt (+ y 1.0))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y 1.0)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y 1.0)) (/ (sqrt 1) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt 1) (cbrt (+ y 1.0))) (/ (sqrt 1) (sqrt (+ y 1.0))) (/ (sqrt 1) (sqrt (+ y 1.0))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y 1.0)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ 1 1) (/ 1 (+ y 1.0)) (/ 1 1) (/ 1 (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) 1) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (sqrt (+ y 1.0))) (/ 1 1) (/ 1 1) (/ (+ y 1.0) (cbrt 1)) (/ (+ y 1.0) (sqrt 1)) (/ (+ y 1.0) 1) (/ 1 (+ (pow y 3) (pow 1.0 3))) (/ 1 (- (* y y) (* 1.0 1.0))) (- (+ (* 1.0 x) (* 1.0 y)) (* 1.0 (* x y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) (- (+ (* 1.0 (pow y 2)) 1.0) (* 1.0 y)) (- (+ (/ 1 y) (* 1.0 (/ 1 (pow y 3)))) (* 1.0 (/ 1 (pow y 2)))) (- (+ (/ 1 y) (* 1.0 (/ 1 (pow y 3)))) (* 1.0 (/ 1 (pow y 2)))) 0.276 * * [simplify]: iteration 0 : 351 enodes (cost 464 ) 0.283 * * [simplify]: iteration 1 : 1645 enodes (cost 402 ) 0.310 * * [simplify]: iteration 2 : 5001 enodes (cost 368 ) 0.312 * [simplify]: Simplified to: (/ (+ x y) (+ y 1.0)) (- (log (+ x y)) (log (+ y 1.0))) (- (log (+ x y)) (log (+ y 1.0))) (- (log (+ x y)) (log (+ y 1.0))) (- (log (+ x y)) (log (+ y 1.0))) (- (log (+ x y)) (log (+ y 1.0))) (exp (* (+ x y) (/ 1 (+ y 1.0)))) (pow (/ (+ x y) (+ y 1.0)) 3) (pow (/ (+ x y) (+ y 1.0)) 3) (* (cbrt (* (+ x y) (/ 1 (+ y 1.0)))) (cbrt (* (+ x y) (/ 1 (+ y 1.0))))) (cbrt (* (+ x y) (/ 1 (+ y 1.0)))) (pow (/ (+ x y) (+ y 1.0)) 3) (sqrt (* (+ x y) (/ 1 (+ y 1.0)))) (sqrt (* (+ x y) (/ 1 (+ y 1.0)))) (+ (pow x 3) (pow y 3)) (* (+ y 1.0) (+ (* y (- y x)) (* x x))) (- (* x x) (* y y)) (* (- x y) (+ y 1.0)) (* (sqrt (+ x y)) (sqrt (/ 1 (+ y 1.0)))) (* (sqrt (+ x y)) (sqrt (/ 1 (+ y 1.0)))) (/ (* (sqrt (+ x y)) 1) (sqrt (+ y 1.0))) (/ (* (sqrt (+ x y)) 1) (sqrt (+ y 1.0))) (/ (* (sqrt (+ x y)) 1) (sqrt (+ y 1.0))) (/ (* (sqrt (+ x y)) 1) (sqrt (+ y 1.0))) (* (+ x y) (* (cbrt (/ 1 (+ y 1.0))) (cbrt (/ 1 (+ y 1.0))))) (* (+ x y) (sqrt (/ 1 (+ y 1.0)))) (/ (+ x y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (+ x y) (sqrt (+ y 1.0))) (+ x y) (+ x y) (/ (+ x y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (+ x y) (sqrt (+ y 1.0))) (+ x y) (+ x y) (/ (+ x y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (+ x y) (sqrt (+ y 1.0))) (+ x y) (+ x y) (+ x y) (+ x y) (/ (+ x y) (+ (pow y 3) (pow 1.0 3))) (/ (+ x y) (- (* y y) (* 1.0 1.0))) (/ (cbrt (+ x y)) (+ y 1.0)) (/ (sqrt (+ x y)) (+ y 1.0)) (/ (+ x y) (+ y 1.0)) (/ (+ x y) (+ y 1.0)) (+ x y) (/ (+ (pow x 3) (pow y 3)) (+ y 1.0)) (/ (- (* x x) (* y y)) (+ y 1.0)) (- 1) (log (/ 1 (+ y 1.0))) (log (/ 1 (+ y 1.0))) (log (/ 1 (+ y 1.0))) (log (/ 1 (+ y 1.0))) (exp (/ 1 (+ y 1.0))) (/ 1 (pow (+ y 1.0) 3)) (* (cbrt (/ 1 (+ y 1.0))) (cbrt (/ 1 (+ y 1.0)))) (cbrt (/ 1 (+ y 1.0))) (/ 1 (pow (+ y 1.0) 3)) (sqrt (/ 1 (+ y 1.0))) (sqrt (/ 1 (+ y 1.0))) (- 1) (- (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) 1 (/ 1 (+ y 1.0)) 1 (/ 1 (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) 1 (/ 1 (+ y 1.0)) 1 (/ 1 (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) 1 (/ 1 (+ y 1.0)) 1 (/ 1 (+ y 1.0)) (/ 1 (+ y 1.0)) (+ y 1.0) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (sqrt (+ y 1.0))) 1 1 (+ y 1.0) (+ y 1.0) (+ y 1.0) (/ 1 (+ (pow y 3) (pow 1.0 3))) (/ 1 (- (* y y) (* 1.0 1.0))) (* 1.0 (- (+ x y) (* x y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) (- (+ (* 1.0 (pow y 2)) 1.0) (* 1.0 y)) (+ (* 1.0 (- (/ 1 (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)) (+ (* 1.0 (- (/ 1 (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)) 0.312 * * * [progress]: adding candidates to table 0.430 * * [progress]: iteration 3 / 4 0.430 * * * [progress]: picking best candidate 0.432 * * * * [pick]: Picked # 0.432 * * * [progress]: localizing error 0.441 * * * [progress]: generating rewritten candidates 0.441 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.452 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.513 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.520 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 0.540 * * * [progress]: generating series expansions 0.540 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.540 * [approximate]: Taking taylor expansion of (* (+ x y) (sqrt (/ 1 (+ y 1.0)))) in (x y) around 0 0.540 * [taylor]: Taking taylor expansion of (* (+ x y) (sqrt (/ 1 (+ y 1.0)))) in y 0.540 * [taylor]: Taking taylor expansion of (+ x y) in y 0.540 * [taylor]: Taking taylor expansion of x in y 0.540 * [taylor]: Taking taylor expansion of y in y 0.540 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ y 1.0))) in y 0.540 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in y 0.541 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.541 * [taylor]: Taking taylor expansion of y in y 0.541 * [taylor]: Taking taylor expansion of 1.0 in y 0.545 * [taylor]: Taking taylor expansion of (* (+ x y) (sqrt (/ 1 (+ y 1.0)))) in x 0.545 * [taylor]: Taking taylor expansion of (+ x y) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of y in x 0.546 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ y 1.0))) in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in x 0.546 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.546 * [taylor]: Taking taylor expansion of y in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.546 * [taylor]: Taking taylor expansion of (* (+ x y) (sqrt (/ 1 (+ y 1.0)))) in x 0.546 * [taylor]: Taking taylor expansion of (+ x y) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of y in x 0.546 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ y 1.0))) in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in x 0.546 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.546 * [taylor]: Taking taylor expansion of y in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * [taylor]: Taking taylor expansion of (* y (sqrt (/ 1 (+ y 1.0)))) in y 0.547 * [taylor]: Taking taylor expansion of y in y 0.547 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ y 1.0))) in y 0.547 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in y 0.547 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.547 * [taylor]: Taking taylor expansion of y in y 0.547 * [taylor]: Taking taylor expansion of 1.0 in y 0.551 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ y 1.0))) in y 0.551 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in y 0.551 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.551 * [taylor]: Taking taylor expansion of y in y 0.551 * [taylor]: Taking taylor expansion of 1.0 in y 0.558 * [taylor]: Taking taylor expansion of 0 in y 0.560 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 y) 1.0)))) in (x y) around 0 0.560 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 y) 1.0)))) in y 0.560 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.560 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.560 * [taylor]: Taking taylor expansion of y in y 0.561 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.561 * [taylor]: Taking taylor expansion of x in y 0.561 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 y) 1.0))) in y 0.561 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.561 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.561 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.561 * [taylor]: Taking taylor expansion of y in y 0.561 * [taylor]: Taking taylor expansion of 1.0 in y 0.563 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 y) 1.0)))) in x 0.563 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.563 * [taylor]: Taking taylor expansion of y in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.563 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 y) 1.0))) in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in x 0.563 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.563 * [taylor]: Taking taylor expansion of y in x 0.563 * [taylor]: Taking taylor expansion of 1.0 in x 0.564 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 y) 1.0)))) in x 0.564 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.564 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.564 * [taylor]: Taking taylor expansion of y in x 0.564 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 y) 1.0))) in x 0.564 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in x 0.564 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.564 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.564 * [taylor]: Taking taylor expansion of y in x 0.564 * [taylor]: Taking taylor expansion of 1.0 in x 0.565 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 y) 1.0))) in y 0.565 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.565 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.565 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.565 * [taylor]: Taking taylor expansion of y in y 0.566 * [taylor]: Taking taylor expansion of 1.0 in y 0.568 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 y) 1.0))) (/ 1 y)) in y 0.568 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 y) 1.0))) in y 0.568 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.568 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.568 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.568 * [taylor]: Taking taylor expansion of y in y 0.568 * [taylor]: Taking taylor expansion of 1.0 in y 0.570 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.573 * [taylor]: Taking taylor expansion of 0 in y 0.577 * [taylor]: Taking taylor expansion of 0 in y 0.584 * [approximate]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (- 1.0 (/ 1 y)))))) in (x y) around 0 0.584 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (- 1.0 (/ 1 y)))))) in y 0.584 * [taylor]: Taking taylor expansion of -1 in y 0.584 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (- 1.0 (/ 1 y))))) in y 0.584 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.584 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.584 * [taylor]: Taking taylor expansion of y in y 0.585 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.585 * [taylor]: Taking taylor expansion of x in y 0.585 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 y)))) in y 0.585 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in y 0.585 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.585 * [taylor]: Taking taylor expansion of 1.0 in y 0.585 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.585 * [taylor]: Taking taylor expansion of y in y 0.587 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (- 1.0 (/ 1 y)))))) in x 0.587 * [taylor]: Taking taylor expansion of -1 in x 0.587 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (- 1.0 (/ 1 y))))) in x 0.587 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.587 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.587 * [taylor]: Taking taylor expansion of y in x 0.587 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 y)))) in x 0.587 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in x 0.587 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.587 * [taylor]: Taking taylor expansion of 1.0 in x 0.587 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.587 * [taylor]: Taking taylor expansion of y in x 0.588 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (- 1.0 (/ 1 y)))))) in x 0.588 * [taylor]: Taking taylor expansion of -1 in x 0.588 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (- 1.0 (/ 1 y))))) in x 0.588 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.588 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.588 * [taylor]: Taking taylor expansion of y in x 0.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.589 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 y)))) in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in x 0.589 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.589 * [taylor]: Taking taylor expansion of 1.0 in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.589 * [taylor]: Taking taylor expansion of y in x 0.590 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ 1 (- 1.0 (/ 1 y))))) in y 0.590 * [taylor]: Taking taylor expansion of -1 in y 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 0.593 * [taylor]: Taking taylor expansion of (- (* (/ 1 y) (sqrt (/ 1 (- 1.0 (/ 1 y)))))) in y 0.593 * [taylor]: Taking taylor expansion of (* (/ 1 y) (sqrt (/ 1 (- 1.0 (/ 1 y))))) in y 0.593 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.593 * [taylor]: Taking taylor expansion of y in y 0.593 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 y)))) in y 0.593 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in y 0.593 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.593 * [taylor]: Taking taylor expansion of 1.0 in y 0.593 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.593 * [taylor]: Taking taylor expansion of y in y 0.599 * [taylor]: Taking taylor expansion of 0 in y 0.605 * [taylor]: Taking taylor expansion of 0 in y 0.613 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.613 * [approximate]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in (x y) around 0 0.613 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in y 0.613 * [taylor]: Taking taylor expansion of (+ x y) in y 0.613 * [taylor]: Taking taylor expansion of x in y 0.613 * [taylor]: Taking taylor expansion of y in y 0.613 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.613 * [taylor]: Taking taylor expansion of y in y 0.613 * [taylor]: Taking taylor expansion of 1.0 in y 0.614 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in x 0.614 * [taylor]: Taking taylor expansion of (+ x y) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of y in x 0.614 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.614 * [taylor]: Taking taylor expansion of y in x 0.614 * [taylor]: Taking taylor expansion of 1.0 in x 0.614 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in x 0.614 * [taylor]: Taking taylor expansion of (+ x y) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of y in x 0.614 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.614 * [taylor]: Taking taylor expansion of y in x 0.614 * [taylor]: Taking taylor expansion of 1.0 in x 0.614 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.614 * [taylor]: Taking taylor expansion of y in y 0.614 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.614 * [taylor]: Taking taylor expansion of y in y 0.614 * [taylor]: Taking taylor expansion of 1.0 in y 0.615 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in y 0.616 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.616 * [taylor]: Taking taylor expansion of y in y 0.616 * [taylor]: Taking taylor expansion of 1.0 in y 0.617 * [taylor]: Taking taylor expansion of 0 in y 0.623 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in (x y) around 0 0.623 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in y 0.623 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.623 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.623 * [taylor]: Taking taylor expansion of y in y 0.623 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.624 * [taylor]: Taking taylor expansion of x in y 0.624 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.624 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.624 * [taylor]: Taking taylor expansion of y in y 0.624 * [taylor]: Taking taylor expansion of 1.0 in y 0.625 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in x 0.625 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.625 * [taylor]: Taking taylor expansion of y in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.625 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.625 * [taylor]: Taking taylor expansion of y in x 0.625 * [taylor]: Taking taylor expansion of 1.0 in x 0.625 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in x 0.625 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.625 * [taylor]: Taking taylor expansion of y in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.626 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.626 * [taylor]: Taking taylor expansion of y in x 0.626 * [taylor]: Taking taylor expansion of 1.0 in x 0.626 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.626 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.626 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.626 * [taylor]: Taking taylor expansion of y in y 0.627 * [taylor]: Taking taylor expansion of 1.0 in y 0.628 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in y 0.628 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.628 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.628 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.628 * [taylor]: Taking taylor expansion of y in y 0.628 * [taylor]: Taking taylor expansion of 1.0 in y 0.628 * [taylor]: Taking taylor expansion of y in y 0.631 * [taylor]: Taking taylor expansion of 0 in y 0.636 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in (x y) around 0 0.636 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in y 0.636 * [taylor]: Taking taylor expansion of -1 in y 0.636 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y))) in y 0.636 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.636 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.636 * [taylor]: Taking taylor expansion of y in y 0.637 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.637 * [taylor]: Taking taylor expansion of x in y 0.637 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.637 * [taylor]: Taking taylor expansion of 1.0 in y 0.637 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.637 * [taylor]: Taking taylor expansion of y in y 0.638 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in x 0.638 * [taylor]: Taking taylor expansion of -1 in x 0.638 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y))) in x 0.638 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.638 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.638 * [taylor]: Taking taylor expansion of y in x 0.638 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.638 * [taylor]: Taking taylor expansion of 1.0 in x 0.638 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.638 * [taylor]: Taking taylor expansion of y in x 0.639 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in x 0.639 * [taylor]: Taking taylor expansion of -1 in x 0.639 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y))) in x 0.639 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.639 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.639 * [taylor]: Taking taylor expansion of y in x 0.639 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.639 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.639 * [taylor]: Taking taylor expansion of 1.0 in x 0.639 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.639 * [taylor]: Taking taylor expansion of y in x 0.640 * [taylor]: Taking taylor expansion of (/ -1 (- 1.0 (/ 1 y))) in y 0.640 * [taylor]: Taking taylor expansion of -1 in y 0.640 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.640 * [taylor]: Taking taylor expansion of 1.0 in y 0.640 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.640 * [taylor]: Taking taylor expansion of y in y 0.642 * [taylor]: Taking taylor expansion of (- (/ 1 (* y (- 1.0 (/ 1 y))))) in y 0.642 * [taylor]: Taking taylor expansion of (/ 1 (* y (- 1.0 (/ 1 y)))) in y 0.642 * [taylor]: Taking taylor expansion of (* y (- 1.0 (/ 1 y))) in y 0.642 * [taylor]: Taking taylor expansion of y in y 0.642 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.642 * [taylor]: Taking taylor expansion of 1.0 in y 0.642 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.642 * [taylor]: Taking taylor expansion of y in y 0.647 * [taylor]: Taking taylor expansion of 0 in y 0.651 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.652 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ y 1.0))) in (y) around 0 0.652 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ y 1.0))) in y 0.652 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in y 0.652 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.652 * [taylor]: Taking taylor expansion of y in y 0.652 * [taylor]: Taking taylor expansion of 1.0 in y 0.655 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ y 1.0))) in y 0.655 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in y 0.655 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.655 * [taylor]: Taking taylor expansion of y in y 0.655 * [taylor]: Taking taylor expansion of 1.0 in y 0.674 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 y) 1.0))) in (y) around 0 0.674 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 y) 1.0))) in y 0.674 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.674 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.674 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.674 * [taylor]: Taking taylor expansion of y in y 0.675 * [taylor]: Taking taylor expansion of 1.0 in y 0.676 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 y) 1.0))) in y 0.676 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.676 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.676 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.676 * [taylor]: Taking taylor expansion of y in y 0.677 * [taylor]: Taking taylor expansion of 1.0 in y 0.688 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 y)))) in (y) around 0 0.688 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 y)))) in y 0.689 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in y 0.689 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.689 * [taylor]: Taking taylor expansion of 1.0 in y 0.689 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.689 * [taylor]: Taking taylor expansion of y in y 0.691 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 y)))) in y 0.691 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in y 0.691 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.691 * [taylor]: Taking taylor expansion of 1.0 in y 0.691 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.691 * [taylor]: Taking taylor expansion of y in y 0.706 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 0.706 * [approximate]: Taking taylor expansion of (sqrt (+ y 1.0)) in (y) around 0 0.707 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 0.707 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.707 * [taylor]: Taking taylor expansion of y in y 0.707 * [taylor]: Taking taylor expansion of 1.0 in y 0.708 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 0.708 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.708 * [taylor]: Taking taylor expansion of y in y 0.708 * [taylor]: Taking taylor expansion of 1.0 in y 0.717 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in (y) around 0 0.717 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 0.717 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.717 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.717 * [taylor]: Taking taylor expansion of y in y 0.718 * [taylor]: Taking taylor expansion of 1.0 in y 0.719 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 0.719 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.719 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.719 * [taylor]: Taking taylor expansion of y in y 0.719 * [taylor]: Taking taylor expansion of 1.0 in y 0.727 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in (y) around 0 0.727 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 0.727 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.727 * [taylor]: Taking taylor expansion of 1.0 in y 0.727 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.727 * [taylor]: Taking taylor expansion of y in y 0.729 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 0.729 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.729 * [taylor]: Taking taylor expansion of 1.0 in y 0.729 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.729 * [taylor]: Taking taylor expansion of y in y 0.737 * * * [progress]: simplifying candidates 0.741 * [simplify]: Simplifying using # : (- (log (+ x y)) (log (sqrt (+ y 1.0)))) (log (/ (+ x y) (sqrt (+ y 1.0)))) (exp (/ (+ x y) (sqrt (+ y 1.0)))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (sqrt (+ y 1.0)) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))) (* (cbrt (/ (+ x y) (sqrt (+ y 1.0)))) (cbrt (/ (+ x y) (sqrt (+ y 1.0))))) (cbrt (/ (+ x y) (sqrt (+ y 1.0)))) (* (* (/ (+ x y) (sqrt (+ y 1.0))) (/ (+ x y) (sqrt (+ y 1.0)))) (/ (+ x y) (sqrt (+ y 1.0)))) (sqrt (/ (+ x y) (sqrt (+ y 1.0)))) (sqrt (/ (+ x y) (sqrt (+ y 1.0)))) (- (+ x y)) (- (sqrt (+ y 1.0))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0))))) (/ (cbrt (+ x y)) (cbrt (sqrt (+ y 1.0)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (/ (cbrt (+ x y)) (sqrt (cbrt (+ y 1.0)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (sqrt (+ y 1.0)))) (/ (cbrt (+ x y)) (sqrt (sqrt (+ y 1.0)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt 1)) (/ (cbrt (+ x y)) (sqrt (+ y 1.0))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt 1)) (/ (cbrt (+ x y)) (sqrt (+ y 1.0))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (sqrt (+ y 1.0)))) (/ (cbrt (+ x y)) (sqrt (sqrt (+ y 1.0)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (sqrt (+ y 1.0))) (/ (sqrt (+ x y)) (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0))))) (/ (sqrt (+ x y)) (cbrt (sqrt (+ y 1.0)))) (/ (sqrt (+ x y)) (sqrt (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (/ (sqrt (+ x y)) (sqrt (cbrt (+ y 1.0)))) (/ (sqrt (+ x y)) (sqrt (sqrt (+ y 1.0)))) (/ (sqrt (+ x y)) (sqrt (sqrt (+ y 1.0)))) (/ (sqrt (+ x y)) (sqrt 1)) (/ (sqrt (+ x y)) (sqrt (+ y 1.0))) (/ (sqrt (+ x y)) (sqrt 1)) (/ (sqrt (+ x y)) (sqrt (+ y 1.0))) (/ (sqrt (+ x y)) (sqrt (sqrt (+ y 1.0)))) (/ (sqrt (+ x y)) (sqrt (sqrt (+ y 1.0)))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (sqrt (+ y 1.0))) (/ 1 (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0))))) (/ (+ x y) (cbrt (sqrt (+ y 1.0)))) (/ 1 (sqrt (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (/ (+ x y) (sqrt (cbrt (+ y 1.0)))) (/ 1 (sqrt (sqrt (+ y 1.0)))) (/ (+ x y) (sqrt (sqrt (+ y 1.0)))) (/ 1 (sqrt 1)) (/ (+ x y) (sqrt (+ y 1.0))) (/ 1 (sqrt 1)) (/ (+ x y) (sqrt (+ y 1.0))) (/ 1 (sqrt (sqrt (+ y 1.0)))) (/ (+ x y) (sqrt (sqrt (+ y 1.0)))) (/ 1 1) (/ (+ x y) (sqrt (+ y 1.0))) (/ 1 (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0))))) (/ (+ x y) (cbrt (sqrt (+ y 1.0)))) (/ 1 (sqrt (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (/ (+ x y) (sqrt (cbrt (+ y 1.0)))) (/ 1 (sqrt (sqrt (+ y 1.0)))) (/ (+ x y) (sqrt (sqrt (+ y 1.0)))) (/ 1 (sqrt 1)) (/ (+ x y) (sqrt (+ y 1.0))) (/ 1 (sqrt 1)) (/ (+ x y) (sqrt (+ y 1.0))) (/ 1 (sqrt (sqrt (+ y 1.0)))) (/ (+ x y) (sqrt (sqrt (+ y 1.0)))) (/ 1 1) (/ (+ x y) (sqrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ (sqrt (+ y 1.0)) (+ x y)) (/ (+ x y) (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0))))) (/ (+ x y) (sqrt (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (/ (+ x y) (sqrt (sqrt (+ y 1.0)))) (/ (+ x y) (sqrt 1)) (/ (+ x y) (sqrt 1)) (/ (+ x y) (sqrt (sqrt (+ y 1.0)))) (/ (+ x y) 1) (/ (sqrt (+ y 1.0)) (cbrt (+ x y))) (/ (sqrt (+ y 1.0)) (sqrt (+ x y))) (/ (sqrt (+ y 1.0)) (+ x y)) (/ (sqrt (+ y 1.0)) (+ x y)) (/ (+ x y) (sqrt (+ (pow y 3) (pow 1.0 3)))) (/ (+ x y) (sqrt (- (* y y) (* 1.0 1.0)))) (* (sqrt (+ y 1.0)) (+ (* x x) (- (* y y) (* x y)))) (* (sqrt (+ y 1.0)) (- x y)) (* (/ (+ x y) (sqrt (+ y 1.0))) (/ (cbrt 1) (sqrt (+ y 1.0)))) (+ (- (log (+ x y)) (log (sqrt (+ y 1.0)))) (- (log (cbrt 1)) (log (sqrt (+ y 1.0))))) (+ (- (log (+ x y)) (log (sqrt (+ y 1.0)))) (log (/ (cbrt 1) (sqrt (+ y 1.0))))) (+ (log (/ (+ x y) (sqrt (+ y 1.0)))) (- (log (cbrt 1)) (log (sqrt (+ y 1.0))))) (+ (log (/ (+ x y) (sqrt (+ y 1.0)))) (log (/ (cbrt 1) (sqrt (+ y 1.0))))) (log (* (/ (+ x y) (sqrt (+ y 1.0))) (/ (cbrt 1) (sqrt (+ y 1.0))))) (exp (* (/ (+ x y) (sqrt (+ y 1.0))) (/ (cbrt 1) (sqrt (+ y 1.0))))) (* (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (sqrt (+ y 1.0)) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))) (/ 1 (* (* (sqrt (+ y 1.0)) (sqrt (+ y 1.0))) (sqrt (+ y 1.0))))) (* (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (sqrt (+ y 1.0)) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))) (* (* (/ (cbrt 1) (sqrt (+ y 1.0))) (/ (cbrt 1) (sqrt (+ y 1.0)))) (/ (cbrt 1) (sqrt (+ y 1.0))))) (* (* (* (/ (+ x y) (sqrt (+ y 1.0))) (/ (+ x y) (sqrt (+ y 1.0)))) (/ (+ x y) (sqrt (+ y 1.0)))) (/ 1 (* (* (sqrt (+ y 1.0)) (sqrt (+ y 1.0))) (sqrt (+ y 1.0))))) (* (* (* (/ (+ x y) (sqrt (+ y 1.0))) (/ (+ x y) (sqrt (+ y 1.0)))) (/ (+ x y) (sqrt (+ y 1.0)))) (* (* (/ (cbrt 1) (sqrt (+ y 1.0))) (/ (cbrt 1) (sqrt (+ y 1.0)))) (/ (cbrt 1) (sqrt (+ y 1.0))))) (* (cbrt (* (/ (+ x y) (sqrt (+ y 1.0))) (/ (cbrt 1) (sqrt (+ y 1.0))))) (cbrt (* (/ (+ x y) (sqrt (+ y 1.0))) (/ (cbrt 1) (sqrt (+ y 1.0)))))) (cbrt (* (/ (+ x y) (sqrt (+ y 1.0))) (/ (cbrt 1) (sqrt (+ y 1.0))))) (* (* (* (/ (+ x y) (sqrt (+ y 1.0))) (/ (cbrt 1) (sqrt (+ y 1.0)))) (* (/ (+ x y) (sqrt (+ y 1.0))) (/ (cbrt 1) (sqrt (+ y 1.0))))) (* 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(cbrt 1)) (sqrt (cbrt (+ y 1.0)))) (/ (sqrt (cbrt 1)) (sqrt (sqrt (+ y 1.0)))) (/ (sqrt (cbrt 1)) (sqrt (sqrt (+ y 1.0)))) (sqrt (cbrt 1)) (/ (sqrt (cbrt 1)) (sqrt (+ y 1.0))) (sqrt (cbrt 1)) (/ (sqrt (cbrt 1)) (sqrt (+ y 1.0))) (/ (sqrt (cbrt 1)) (sqrt (sqrt (+ y 1.0)))) (/ (sqrt (cbrt 1)) (sqrt (sqrt (+ y 1.0)))) (sqrt (cbrt 1)) (/ (sqrt (cbrt 1)) (sqrt (+ y 1.0))) (/ 1 (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0))))) (/ (cbrt 1) (cbrt (sqrt (+ y 1.0)))) (/ 1 (* (fabs (cbrt (+ y 1.0))) 1)) (/ (cbrt 1) (sqrt (cbrt (+ y 1.0)))) (/ 1 (sqrt (sqrt (+ y 1.0)))) (/ (cbrt 1) (sqrt (sqrt (+ y 1.0)))) 1 (/ (cbrt 1) (sqrt (+ y 1.0))) 1 (/ (cbrt 1) (sqrt (+ y 1.0))) (/ 1 (sqrt (sqrt (+ y 1.0)))) (/ (cbrt 1) (sqrt (sqrt (+ y 1.0)))) 1 (/ (cbrt 1) (sqrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ (sqrt (+ y 1.0)) (cbrt 1)) (/ (cbrt 1) (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0))))) (/ (cbrt 1) (fabs (cbrt (+ y 1.0)))) (/ (cbrt 1) (sqrt (sqrt (+ y 1.0)))) (cbrt 1) (cbrt 1) (/ (cbrt 1) (sqrt (sqrt (+ y 1.0)))) (cbrt 1) (/ (sqrt (+ y 1.0)) (cbrt (cbrt 1))) (/ (sqrt (+ y 1.0)) (cbrt 1)) (/ (sqrt (+ y 1.0)) (cbrt 1)) (/ (sqrt (+ y 1.0)) (cbrt (cbrt 1))) (/ (sqrt (+ y 1.0)) (sqrt (cbrt 1))) (/ (sqrt (+ y 1.0)) (cbrt 1)) (/ (cbrt 1) (sqrt (+ (pow y 3) (pow 1.0 3)))) (/ (cbrt 1) (sqrt (- (* y y) (* 1.0 1.0)))) (log (sqrt (+ y 1.0))) (exp (sqrt (+ y 1.0))) (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0)))) (cbrt (sqrt (+ y 1.0))) (pow (sqrt (+ y 1.0)) 3) (fabs (cbrt (+ y 1.0))) (sqrt (cbrt (+ y 1.0))) (sqrt (sqrt (+ y 1.0))) (sqrt (sqrt (+ y 1.0))) 1 (sqrt (+ y 1.0)) 1 (sqrt (+ y 1.0)) (sqrt (+ (pow y 3) (pow 1.0 3))) (sqrt (+ (* y y) (- (* 1.0 1.0) (* y 1.0)))) (sqrt (- (* y y) (* 1.0 1.0))) (sqrt (- y 1.0)) 1/2 (sqrt (sqrt (+ y 1.0))) (sqrt (sqrt (+ y 1.0))) (+ (- (* 0.5 (/ (* x y) (sqrt 1.0)))) (* (sqrt 1.0) (+ x y))) (+ (- (* +nan.0 (/ x y)) +nan.0) (/ (- +nan.0) y)) (+ (- (* +nan.0 (/ x y)) +nan.0) (/ (- +nan.0) y)) (* 1.0 (- (+ x y) (* x y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) (- (+ (sqrt 1.0) (* 0.5 (/ (pow y 2) (sqrt 1.0)))) (+ (* 0.125 (/ (pow y 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ y (sqrt 1.0))))) (+ (* +nan.0 (- (/ 1 (pow y 3)) (/ 1 (pow y 2)))) (/ (- +nan.0) y)) (+ (* +nan.0 (- (/ 1 (pow y 3)) (/ 1 (pow y 2)))) (/ (- +nan.0) y)) (- (+ (sqrt 1.0) (* 1/2 (/ y (sqrt 1.0)))) (* 1/8 (/ (pow y 2) (pow (sqrt 1.0) 3)))) (+ (- (* +nan.0 (/ 1 (pow y 2))) +nan.0) (/ (- +nan.0) y)) (+ (- (* +nan.0 (/ 1 (pow y 2))) +nan.0) (/ (- +nan.0) y)) 0.825 * * * [progress]: adding candidates to table 1.302 * [progress]: [Phase 3 of 3] Extracting. 1.302 * * [regime]: Finding splitpoints for: (# # #) 1.304 * * * [regime-changes]: Trying 3 branch expressions: ((/ (+ x y) (+ y 1.0)) y x) 1.304 * * * * [regimes]: Trying to branch on (/ (+ x y) (+ y 1.0)) from (# # #) 1.325 * * * * [regimes]: Trying to branch on y from (# # #) 1.346 * * * * [regimes]: Trying to branch on x from (# # #) 1.369 * * * [regime]: Found split indices: #