8.310 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying: (/ (+ x y) (+ y 1.0)) 0.012 * [simplify]: Sending expressions to egg_math: (/ (+ h0 h1) (+ h1 h2)) 0.015 * * [simplify]: iteration 0 : 8 enodes (cost 3 ) 0.016 * * [simplify]: iteration 1 : 8 enodes (cost 3 ) 0.016 * * [progress]: iteration 1 / 4 0.016 * * * [progress]: picking best candidate 0.017 * * * * [pick]: Picked # 0.017 * * * [progress]: localizing error 0.022 * * * [progress]: generating rewritten candidates 0.022 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.045 * * * [progress]: generating series expansions 0.046 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.046 * [backup-simplify]: Simplify (/ (+ x y) (+ y 1.0)) into (/ (+ x y) (+ y 1.0)) 0.046 * [approximate]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in y 0.046 * [taylor]: Taking taylor expansion of (+ x y) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [backup-simplify]: Simplify x into x 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 1 into 1 0.046 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 1 into 1 0.046 * [taylor]: Taking taylor expansion of 1.0 in y 0.046 * [backup-simplify]: Simplify 1.0 into 1.0 0.046 * [backup-simplify]: Simplify (+ x 0) into x 0.046 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.046 * [backup-simplify]: Simplify (/ x 1.0) into (* 1.0 x) 0.046 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in x 0.046 * [taylor]: Taking taylor expansion of (+ x y) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [backup-simplify]: Simplify y into y 0.047 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [backup-simplify]: Simplify y into y 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [backup-simplify]: Simplify 1.0 into 1.0 0.047 * [backup-simplify]: Simplify (+ 0 y) into y 0.047 * [backup-simplify]: Simplify (+ y 1.0) into (+ y 1.0) 0.047 * [backup-simplify]: Simplify (/ y (+ y 1.0)) into (/ y (+ y 1.0)) 0.047 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in x 0.047 * [taylor]: Taking taylor expansion of (+ x y) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [backup-simplify]: Simplify y into y 0.047 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [backup-simplify]: Simplify y into y 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [backup-simplify]: Simplify 1.0 into 1.0 0.047 * [backup-simplify]: Simplify (+ 0 y) into y 0.047 * [backup-simplify]: Simplify (+ y 1.0) into (+ y 1.0) 0.047 * [backup-simplify]: Simplify (/ y (+ y 1.0)) into (/ y (+ y 1.0)) 0.047 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [taylor]: Taking taylor expansion of 1.0 in y 0.047 * [backup-simplify]: Simplify 1.0 into 1.0 0.047 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.048 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 0.048 * [backup-simplify]: Simplify (+ 1 0) into 1 0.048 * [backup-simplify]: Simplify (+ 0 0) into 0 0.048 * [backup-simplify]: Simplify (- (/ 1 (+ y 1.0)) (+ (* (/ y (+ y 1.0)) (/ 0 (+ y 1.0))))) into (/ 1 (+ y 1.0)) 0.048 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in y 0.048 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [taylor]: Taking taylor expansion of 1.0 in y 0.049 * [backup-simplify]: Simplify 1.0 into 1.0 0.049 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.049 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 0.049 * [backup-simplify]: Simplify 1.0 into 1.0 0.049 * [backup-simplify]: Simplify 1.0 into 1.0 0.049 * [backup-simplify]: Simplify (+ 0 0) into 0 0.050 * [backup-simplify]: Simplify (+ 0 0) into 0 0.050 * [backup-simplify]: Simplify (- (/ 0 (+ y 1.0)) (+ (* (/ y (+ y 1.0)) (/ 0 (+ y 1.0))) (* (/ 1 (+ y 1.0)) (/ 0 (+ y 1.0))))) into 0 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify (+ 1 0) into 1 0.051 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 1 1.0)))) into (- 1.0) 0.052 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.052 * [backup-simplify]: Simplify (+ (* (- 1.0) (* y x)) (+ (* 1.0 (* y 1)) (* 1.0 (* 1 x)))) into (- (+ (* 1.0 x) (* 1.0 y)) (* 1.0 (* x y))) 0.052 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (+ (/ 1 y) 1.0)) into (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) 0.052 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in (x y) around 0 0.052 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in y 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 1 into 1 0.052 * [backup-simplify]: Simplify (/ 1 1) into 1 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.052 * [backup-simplify]: Simplify x into x 0.052 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify (/ 1 1) into 1 0.053 * [taylor]: Taking taylor expansion of 1.0 in y 0.053 * [backup-simplify]: Simplify 1.0 into 1.0 0.053 * [backup-simplify]: Simplify (+ 1 0) into 1 0.053 * [backup-simplify]: Simplify (+ 1 0) into 1 0.053 * [backup-simplify]: Simplify (/ 1 1) into 1 0.054 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in x 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [backup-simplify]: Simplify y into y 0.054 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [backup-simplify]: Simplify (/ 1 1) into 1 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [backup-simplify]: Simplify y into y 0.054 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.054 * [taylor]: Taking taylor expansion of 1.0 in x 0.054 * [backup-simplify]: Simplify 1.0 into 1.0 0.054 * [backup-simplify]: Simplify (+ 0 1) into 1 0.054 * [backup-simplify]: Simplify (+ (/ 1 y) 1.0) into (+ (/ 1 y) 1.0) 0.054 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 y) 1.0)) into (/ 1 (+ (/ 1 y) 1.0)) 0.054 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in x 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [backup-simplify]: Simplify y into y 0.055 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [backup-simplify]: Simplify (/ 1 1) into 1 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 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 * [backup-simplify]: Simplify y into y 0.055 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.055 * [taylor]: Taking taylor expansion of 1.0 in x 0.055 * [backup-simplify]: Simplify 1.0 into 1.0 0.055 * [backup-simplify]: Simplify (+ 0 1) into 1 0.055 * [backup-simplify]: Simplify (+ (/ 1 y) 1.0) into (+ (/ 1 y) 1.0) 0.055 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 y) 1.0)) into (/ 1 (+ (/ 1 y) 1.0)) 0.055 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 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 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.056 * [backup-simplify]: Simplify (/ 1 1) into 1 0.056 * [taylor]: Taking taylor expansion of 1.0 in y 0.056 * [backup-simplify]: Simplify 1.0 into 1.0 0.056 * [backup-simplify]: Simplify (+ 1 0) into 1 0.056 * [backup-simplify]: Simplify (/ 1 1) into 1 0.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.057 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.057 * [backup-simplify]: Simplify (+ 0 0) into 0 0.057 * [backup-simplify]: Simplify (- (/ (/ 1 y) (+ (/ 1 y) 1.0)) (+ (* (/ 1 (+ (/ 1 y) 1.0)) (/ 0 (+ (/ 1 y) 1.0))))) into (/ 1 (* (+ (/ 1 y) 1.0) y)) 0.057 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in y 0.057 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [backup-simplify]: Simplify (/ 1 1) into 1 0.057 * [taylor]: Taking taylor expansion of 1.0 in y 0.058 * [backup-simplify]: Simplify 1.0 into 1.0 0.058 * [taylor]: Taking taylor expansion of y in y 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [backup-simplify]: Simplify (+ 1 0) into 1 0.058 * [backup-simplify]: Simplify (* 1 0) into 0 0.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.059 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.059 * [backup-simplify]: Simplify (+ (* 1 1) (* 1.0 0)) into 1 0.059 * [backup-simplify]: Simplify (/ 1 1) into 1 0.059 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.060 * [backup-simplify]: Simplify (+ 0 0) into 0 0.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.061 * [backup-simplify]: Simplify (+ 0 0) into 0 0.061 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 y) 1.0)) (+ (* (/ 1 (+ (/ 1 y) 1.0)) (/ 0 (+ (/ 1 y) 1.0))) (* (/ 1 (* (+ (/ 1 y) 1.0) y)) (/ 0 (+ (/ 1 y) 1.0))))) into 0 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.062 * [backup-simplify]: Simplify (+ 0 0) into 0 0.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 1) (* 0 0))) into 1.0 0.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1.0 1)))) into (- 1.0) 0.065 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.066 * [backup-simplify]: Simplify (+ (* (- 1.0) (* (/ 1 y) 1)) (+ (* 1 (* (/ 1 y) (/ 1 (/ 1 x)))) 1)) into (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) 0.069 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- y)) 1.0)) into (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) 0.069 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in (x y) around 0 0.069 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in y 0.069 * [taylor]: Taking taylor expansion of -1 in y 0.069 * [backup-simplify]: Simplify -1 into -1 0.069 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y))) in y 0.069 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.069 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [backup-simplify]: Simplify (/ 1 1) into 1 0.069 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.069 * [taylor]: Taking taylor expansion of x in y 0.069 * [backup-simplify]: Simplify x into x 0.069 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.069 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.069 * [taylor]: Taking taylor expansion of 1.0 in y 0.069 * [backup-simplify]: Simplify 1.0 into 1.0 0.069 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (/ 1 1) into 1 0.070 * [backup-simplify]: Simplify (+ 1 0) into 1 0.070 * [backup-simplify]: Simplify (- 1) into -1 0.070 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.071 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.071 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in x 0.071 * [taylor]: Taking taylor expansion of -1 in x 0.071 * [backup-simplify]: Simplify -1 into -1 0.071 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y))) in x 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [backup-simplify]: Simplify y into y 0.071 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (/ 1 1) into 1 0.071 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.071 * [taylor]: Taking taylor expansion of 1.0 in x 0.071 * [backup-simplify]: Simplify 1.0 into 1.0 0.071 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [backup-simplify]: Simplify y into y 0.071 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.072 * [backup-simplify]: Simplify (+ 0 1) into 1 0.072 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.072 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 y))) into (- 1.0 (/ 1 y)) 0.072 * [backup-simplify]: Simplify (/ 1 (- 1.0 (/ 1 y))) into (/ 1 (- 1.0 (/ 1 y))) 0.072 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in x 0.072 * [taylor]: Taking taylor expansion of -1 in x 0.072 * [backup-simplify]: Simplify -1 into -1 0.072 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y))) in x 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [backup-simplify]: Simplify y into y 0.072 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.072 * [backup-simplify]: Simplify (/ 1 1) into 1 0.072 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.072 * [taylor]: Taking taylor expansion of 1.0 in x 0.072 * [backup-simplify]: Simplify 1.0 into 1.0 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [backup-simplify]: Simplify y into y 0.072 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.073 * [backup-simplify]: Simplify (+ 0 1) into 1 0.073 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.073 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 y))) into (- 1.0 (/ 1 y)) 0.073 * [backup-simplify]: Simplify (/ 1 (- 1.0 (/ 1 y))) into (/ 1 (- 1.0 (/ 1 y))) 0.073 * [backup-simplify]: Simplify (* -1 (/ 1 (- 1.0 (/ 1 y)))) into (/ -1 (- 1.0 (/ 1 y))) 0.073 * [taylor]: Taking taylor expansion of (/ -1 (- 1.0 (/ 1 y))) in y 0.073 * [taylor]: Taking taylor expansion of -1 in y 0.073 * [backup-simplify]: Simplify -1 into -1 0.073 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.073 * [taylor]: Taking taylor expansion of 1.0 in y 0.073 * [backup-simplify]: Simplify 1.0 into 1.0 0.073 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [backup-simplify]: Simplify (/ 1 1) into 1 0.073 * [backup-simplify]: Simplify (- 1) into -1 0.074 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.074 * [backup-simplify]: Simplify (/ -1 -1) into 1 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.075 * [backup-simplify]: Simplify (- 0) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify (- (/ (/ 1 y) (- 1.0 (/ 1 y))) (+ (* (/ 1 (- 1.0 (/ 1 y))) (/ 0 (- 1.0 (/ 1 y)))))) into (/ 1 (* y (- 1.0 (/ 1 y)))) 0.075 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (* y (- 1.0 (/ 1 y))))) (* 0 (/ 1 (- 1.0 (/ 1 y))))) into (- (/ 1 (* y (- 1.0 (/ 1 y))))) 0.075 * [taylor]: Taking taylor expansion of (- (/ 1 (* y (- 1.0 (/ 1 y))))) in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 (* y (- 1.0 (/ 1 y)))) in y 0.075 * [taylor]: Taking taylor expansion of (* y (- 1.0 (/ 1 y))) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.075 * [taylor]: Taking taylor expansion of 1.0 in y 0.075 * [backup-simplify]: Simplify 1.0 into 1.0 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [backup-simplify]: Simplify (/ 1 1) into 1 0.076 * [backup-simplify]: Simplify (- 1) into -1 0.076 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.076 * [backup-simplify]: Simplify (* 0 -1) into 0 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (- 0) into 0 0.077 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.078 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.078 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.078 * [backup-simplify]: Simplify (- -1) into 1 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.079 * [backup-simplify]: Simplify (- 0) into 0 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (/ 1 y))) (+ (* (/ 1 (- 1.0 (/ 1 y))) (/ 0 (- 1.0 (/ 1 y)))) (* (/ 1 (* y (- 1.0 (/ 1 y)))) (/ 0 (- 1.0 (/ 1 y)))))) into 0 0.080 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ 1 (* y (- 1.0 (/ 1 y))))) (* 0 (/ 1 (- 1.0 (/ 1 y)))))) into 0 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify (- 0) into 0 0.081 * [backup-simplify]: Simplify (+ 0 0) into 0 0.083 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.084 * [backup-simplify]: Simplify (- (+ (* -1 (/ 1.0 -1)))) into (- 1.0) 0.085 * [backup-simplify]: Simplify (- (- 1.0)) into 1.0 0.085 * [backup-simplify]: Simplify 1.0 into 1.0 0.085 * [backup-simplify]: Simplify (+ (* 1.0 (* (/ 1 (- y)) 1)) (+ (* 1 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1)) into (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) 0.085 * * * [progress]: simplifying candidates 0.086 * [simplify]: Simplifying: (- (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))) 0.086 * [simplify]: Sending expressions to egg_math: (- (log (+ h0 h1)) (log (+ h1 h2))) (log (/ (+ h0 h1) (+ h1 h2))) (exp (/ (+ h0 h1) (+ h1 h2))) (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* (+ h1 h2) (+ h1 h2)) (+ h1 h2))) (* (cbrt (/ (+ h0 h1) (+ h1 h2))) (cbrt (/ (+ h0 h1) (+ h1 h2)))) (cbrt (/ (+ h0 h1) (+ h1 h2))) (* (* (/ (+ h0 h1) (+ h1 h2)) (/ (+ h0 h1) (+ h1 h2))) (/ (+ h0 h1) (+ h1 h2))) (sqrt (/ (+ h0 h1) (+ h1 h2))) (sqrt (/ (+ h0 h1) (+ h1 h2))) (- (+ h0 h1)) (- (+ h1 h2)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (+ h1 h2)) (cbrt (+ h1 h2)))) (/ (cbrt (+ h0 h1)) (cbrt (+ h1 h2))) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt (+ h1 h2))) (/ (cbrt (+ h0 h1)) (sqrt (+ h1 h2))) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1) (/ (cbrt (+ h0 h1)) (+ h1 h2)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1) (/ (cbrt (+ h0 h1)) (+ h1 h2)) (/ (sqrt (+ h0 h1)) (* (cbrt (+ h1 h2)) (cbrt (+ h1 h2)))) (/ (sqrt (+ h0 h1)) (cbrt (+ h1 h2))) (/ (sqrt (+ h0 h1)) (sqrt (+ h1 h2))) (/ (sqrt (+ h0 h1)) (sqrt (+ h1 h2))) (/ (sqrt (+ h0 h1)) 1) (/ (sqrt (+ h0 h1)) (+ h1 h2)) (/ (sqrt (+ h0 h1)) 1) (/ (sqrt (+ h0 h1)) (+ h1 h2)) (/ 1 (* (cbrt (+ h1 h2)) (cbrt (+ h1 h2)))) (/ (+ h0 h1) (cbrt (+ h1 h2))) (/ 1 (sqrt (+ h1 h2))) (/ (+ h0 h1) (sqrt (+ h1 h2))) (/ 1 1) (/ (+ h0 h1) (+ h1 h2)) (/ 1 1) (/ (+ h0 h1) (+ h1 h2)) (/ 1 (* (cbrt (+ h1 h2)) (cbrt (+ h1 h2)))) (/ (+ h0 h1) (cbrt (+ h1 h2))) (/ 1 (sqrt (+ h1 h2))) (/ (+ h0 h1) (sqrt (+ h1 h2))) (/ 1 1) (/ (+ h0 h1) (+ h1 h2)) (/ 1 1) (/ (+ h0 h1) (+ h1 h2)) (/ 1 (+ h1 h2)) (/ (+ h1 h2) (+ h0 h1)) (/ (+ h0 h1) (* (cbrt (+ h1 h2)) (cbrt (+ h1 h2)))) (/ (+ h0 h1) (sqrt (+ h1 h2))) (/ (+ h0 h1) 1) (/ (+ h0 h1) 1) (/ (+ h1 h2) (cbrt (+ h0 h1))) (/ (+ h1 h2) (sqrt (+ h0 h1))) (/ (+ h1 h2) (+ h0 h1)) (/ (+ h1 h2) (+ h0 h1)) (/ (+ h0 h1) (+ (pow h1 3) (pow h2 3))) (/ (+ h0 h1) (- (* h1 h1) (* h2 h2))) (* (+ h1 h2) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* (+ h1 h2) (- h0 h1)) (- (+ (* h2 h0) (* h2 h1)) (* h2 (* h0 h1))) (- (+ (/ h0 h1) 1) (* h2 (/ 1 h1))) (- (+ (/ h0 h1) 1) (* h2 (/ 1 h1))) 0.089 * * [simplify]: iteration 0 : 191 enodes (cost 254 ) 0.093 * * [simplify]: iteration 1 : 588 enodes (cost 238 ) 0.102 * * [simplify]: iteration 2 : 1797 enodes (cost 238 ) 0.136 * * [simplify]: iteration 3 : 5001 enodes (cost 236 ) 0.138 * * * [progress]: adding candidates to table 0.197 * * [progress]: iteration 2 / 4 0.197 * * * [progress]: picking best candidate 0.200 * * * * [pick]: Picked # 0.200 * * * [progress]: localizing error 0.206 * * * [progress]: generating rewritten candidates 0.206 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.249 * * * [progress]: generating series expansions 0.249 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.249 * [backup-simplify]: Simplify (* (+ x y) (/ 1 (+ y 1.0))) into (/ (+ x y) (+ y 1.0)) 0.249 * [approximate]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in (x y) around 0 0.249 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in y 0.249 * [taylor]: Taking taylor expansion of (+ x y) in y 0.249 * [taylor]: Taking taylor expansion of x in y 0.249 * [backup-simplify]: Simplify x into x 0.249 * [taylor]: Taking taylor expansion of y in y 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.249 * [taylor]: Taking taylor expansion of y in y 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [taylor]: Taking taylor expansion of 1.0 in y 0.249 * [backup-simplify]: Simplify 1.0 into 1.0 0.249 * [backup-simplify]: Simplify (+ x 0) into x 0.250 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.250 * [backup-simplify]: Simplify (/ x 1.0) into (* 1.0 x) 0.250 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in x 0.250 * [taylor]: Taking taylor expansion of (+ x y) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [taylor]: Taking taylor expansion of y in x 0.250 * [backup-simplify]: Simplify y into y 0.250 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.250 * [taylor]: Taking taylor expansion of y in x 0.250 * [backup-simplify]: Simplify y into y 0.250 * [taylor]: Taking taylor expansion of 1.0 in x 0.250 * [backup-simplify]: Simplify 1.0 into 1.0 0.250 * [backup-simplify]: Simplify (+ 0 y) into y 0.250 * [backup-simplify]: Simplify (+ y 1.0) into (+ y 1.0) 0.250 * [backup-simplify]: Simplify (/ y (+ y 1.0)) into (/ y (+ y 1.0)) 0.250 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in x 0.250 * [taylor]: Taking taylor expansion of (+ x y) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [taylor]: Taking taylor expansion of y in x 0.250 * [backup-simplify]: Simplify y into y 0.250 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.250 * [taylor]: Taking taylor expansion of y in x 0.250 * [backup-simplify]: Simplify y into y 0.250 * [taylor]: Taking taylor expansion of 1.0 in x 0.250 * [backup-simplify]: Simplify 1.0 into 1.0 0.250 * [backup-simplify]: Simplify (+ 0 y) into y 0.251 * [backup-simplify]: Simplify (+ y 1.0) into (+ y 1.0) 0.251 * [backup-simplify]: Simplify (/ y (+ y 1.0)) into (/ y (+ y 1.0)) 0.251 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [taylor]: Taking taylor expansion of 1.0 in y 0.251 * [backup-simplify]: Simplify 1.0 into 1.0 0.251 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.251 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 0.252 * [backup-simplify]: Simplify (+ 1 0) into 1 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.252 * [backup-simplify]: Simplify (- (/ 1 (+ y 1.0)) (+ (* (/ y (+ y 1.0)) (/ 0 (+ y 1.0))))) into (/ 1 (+ y 1.0)) 0.252 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in y 0.252 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [taylor]: Taking taylor expansion of 1.0 in y 0.252 * [backup-simplify]: Simplify 1.0 into 1.0 0.252 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.253 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 0.253 * [backup-simplify]: Simplify 1.0 into 1.0 0.253 * [backup-simplify]: Simplify 1.0 into 1.0 0.253 * [backup-simplify]: Simplify (+ 0 0) into 0 0.253 * [backup-simplify]: Simplify (+ 0 0) into 0 0.253 * [backup-simplify]: Simplify (- (/ 0 (+ y 1.0)) (+ (* (/ y (+ y 1.0)) (/ 0 (+ y 1.0))) (* (/ 1 (+ y 1.0)) (/ 0 (+ y 1.0))))) into 0 0.253 * [taylor]: Taking taylor expansion of 0 in y 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify (+ 1 0) into 1 0.255 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 1 1.0)))) into (- 1.0) 0.255 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.255 * [backup-simplify]: Simplify (+ (* (- 1.0) (* y x)) (+ (* 1.0 (* y 1)) (* 1.0 (* 1 x)))) into (- (+ (* 1.0 x) (* 1.0 y)) (* 1.0 (* x y))) 0.255 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1 (+ (/ 1 y) 1.0))) into (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) 0.256 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in (x y) around 0 0.256 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in y 0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.256 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.256 * [taylor]: Taking taylor expansion of y in y 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify (/ 1 1) into 1 0.256 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.256 * [taylor]: Taking taylor expansion of x in y 0.256 * [backup-simplify]: Simplify x into x 0.256 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.256 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.256 * [taylor]: Taking taylor expansion of y in y 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify (/ 1 1) into 1 0.256 * [taylor]: Taking taylor expansion of 1.0 in y 0.256 * [backup-simplify]: Simplify 1.0 into 1.0 0.256 * [backup-simplify]: Simplify (+ 1 0) into 1 0.257 * [backup-simplify]: Simplify (+ 1 0) into 1 0.257 * [backup-simplify]: Simplify (/ 1 1) into 1 0.257 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in x 0.257 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.257 * [taylor]: Taking taylor expansion of y in x 0.257 * [backup-simplify]: Simplify y into y 0.257 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.257 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (/ 1 1) into 1 0.257 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.257 * [taylor]: Taking taylor expansion of y in x 0.257 * [backup-simplify]: Simplify y into y 0.257 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.258 * [taylor]: Taking taylor expansion of 1.0 in x 0.258 * [backup-simplify]: Simplify 1.0 into 1.0 0.258 * [backup-simplify]: Simplify (+ 0 1) into 1 0.258 * [backup-simplify]: Simplify (+ (/ 1 y) 1.0) into (+ (/ 1 y) 1.0) 0.258 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 y) 1.0)) into (/ 1 (+ (/ 1 y) 1.0)) 0.258 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in x 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.258 * [taylor]: Taking taylor expansion of y in x 0.258 * [backup-simplify]: Simplify y into y 0.258 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.258 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (/ 1 1) into 1 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.258 * [taylor]: Taking taylor expansion of y in x 0.258 * [backup-simplify]: Simplify y into y 0.258 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.258 * [taylor]: Taking taylor expansion of 1.0 in x 0.258 * [backup-simplify]: Simplify 1.0 into 1.0 0.259 * [backup-simplify]: Simplify (+ 0 1) into 1 0.259 * [backup-simplify]: Simplify (+ (/ 1 y) 1.0) into (+ (/ 1 y) 1.0) 0.259 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 y) 1.0)) into (/ 1 (+ (/ 1 y) 1.0)) 0.259 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [backup-simplify]: Simplify (/ 1 1) into 1 0.259 * [taylor]: Taking taylor expansion of 1.0 in y 0.259 * [backup-simplify]: Simplify 1.0 into 1.0 0.259 * [backup-simplify]: Simplify (+ 1 0) into 1 0.260 * [backup-simplify]: Simplify (/ 1 1) into 1 0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [backup-simplify]: Simplify (- (/ (/ 1 y) (+ (/ 1 y) 1.0)) (+ (* (/ 1 (+ (/ 1 y) 1.0)) (/ 0 (+ (/ 1 y) 1.0))))) into (/ 1 (* (+ (/ 1 y) 1.0) y)) 0.261 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in y 0.261 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.261 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (/ 1 1) into 1 0.261 * [taylor]: Taking taylor expansion of 1.0 in y 0.261 * [backup-simplify]: Simplify 1.0 into 1.0 0.261 * [taylor]: Taking taylor expansion of y in y 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (+ 1 0) into 1 0.262 * [backup-simplify]: Simplify (* 1 0) into 0 0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.262 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.263 * [backup-simplify]: Simplify (+ (* 1 1) (* 1.0 0)) into 1 0.263 * [backup-simplify]: Simplify (/ 1 1) into 1 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.264 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 y) 1.0)) (+ (* (/ 1 (+ (/ 1 y) 1.0)) (/ 0 (+ (/ 1 y) 1.0))) (* (/ 1 (* (+ (/ 1 y) 1.0) y)) (/ 0 (+ (/ 1 y) 1.0))))) into 0 0.264 * [taylor]: Taking taylor expansion of 0 in y 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 1) (* 0 0))) into 1.0 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1.0 1)))) into (- 1.0) 0.268 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.268 * [backup-simplify]: Simplify (+ (* (- 1.0) (* (/ 1 y) 1)) (+ (* 1 (* (/ 1 y) (/ 1 (/ 1 x)))) 1)) into (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) 0.269 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (+ (/ 1 (- y)) 1.0))) into (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) 0.269 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in (x y) around 0 0.269 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in y 0.269 * [taylor]: Taking taylor expansion of -1 in y 0.269 * [backup-simplify]: Simplify -1 into -1 0.269 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y))) in y 0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.269 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.269 * [taylor]: Taking taylor expansion of y in y 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.269 * [taylor]: Taking taylor expansion of x in y 0.269 * [backup-simplify]: Simplify x into x 0.269 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.269 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.269 * [taylor]: Taking taylor expansion of 1.0 in y 0.269 * [backup-simplify]: Simplify 1.0 into 1.0 0.269 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.269 * [taylor]: Taking taylor expansion of y in y 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.270 * [backup-simplify]: Simplify (+ 1 0) into 1 0.270 * [backup-simplify]: Simplify (- 1) into -1 0.270 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.270 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.270 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in x 0.270 * [taylor]: Taking taylor expansion of -1 in x 0.270 * [backup-simplify]: Simplify -1 into -1 0.270 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y))) 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 0.270 * [backup-simplify]: Simplify y into y 0.270 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (/ 1 1) into 1 0.271 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.271 * [taylor]: Taking taylor expansion of 1.0 in x 0.271 * [backup-simplify]: Simplify 1.0 into 1.0 0.271 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.271 * [taylor]: Taking taylor expansion of y in x 0.271 * [backup-simplify]: Simplify y into y 0.271 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.271 * [backup-simplify]: Simplify (+ 0 1) into 1 0.271 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.271 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 y))) into (- 1.0 (/ 1 y)) 0.271 * [backup-simplify]: Simplify (/ 1 (- 1.0 (/ 1 y))) into (/ 1 (- 1.0 (/ 1 y))) 0.271 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in x 0.271 * [taylor]: Taking taylor expansion of -1 in x 0.271 * [backup-simplify]: Simplify -1 into -1 0.271 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y))) in x 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.271 * [taylor]: Taking taylor expansion of y in x 0.271 * [backup-simplify]: Simplify y into y 0.271 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.271 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (/ 1 1) into 1 0.272 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.272 * [taylor]: Taking taylor expansion of 1.0 in x 0.272 * [backup-simplify]: Simplify 1.0 into 1.0 0.272 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.272 * [taylor]: Taking taylor expansion of y in x 0.272 * [backup-simplify]: Simplify y into y 0.272 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.272 * [backup-simplify]: Simplify (+ 0 1) into 1 0.272 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.272 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 y))) into (- 1.0 (/ 1 y)) 0.272 * [backup-simplify]: Simplify (/ 1 (- 1.0 (/ 1 y))) into (/ 1 (- 1.0 (/ 1 y))) 0.272 * [backup-simplify]: Simplify (* -1 (/ 1 (- 1.0 (/ 1 y)))) into (/ -1 (- 1.0 (/ 1 y))) 0.272 * [taylor]: Taking taylor expansion of (/ -1 (- 1.0 (/ 1 y))) in y 0.272 * [taylor]: Taking taylor expansion of -1 in y 0.272 * [backup-simplify]: Simplify -1 into -1 0.272 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.272 * [taylor]: Taking taylor expansion of 1.0 in y 0.272 * [backup-simplify]: Simplify 1.0 into 1.0 0.272 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.272 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (/ 1 1) into 1 0.273 * [backup-simplify]: Simplify (- 1) into -1 0.273 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.273 * [backup-simplify]: Simplify (/ -1 -1) into 1 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.274 * [backup-simplify]: Simplify (- 0) into 0 0.274 * [backup-simplify]: Simplify (+ 0 0) into 0 0.275 * [backup-simplify]: Simplify (- (/ (/ 1 y) (- 1.0 (/ 1 y))) (+ (* (/ 1 (- 1.0 (/ 1 y))) (/ 0 (- 1.0 (/ 1 y)))))) into (/ 1 (* y (- 1.0 (/ 1 y)))) 0.275 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (* y (- 1.0 (/ 1 y))))) (* 0 (/ 1 (- 1.0 (/ 1 y))))) into (- (/ 1 (* y (- 1.0 (/ 1 y))))) 0.275 * [taylor]: Taking taylor expansion of (- (/ 1 (* y (- 1.0 (/ 1 y))))) in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 (* y (- 1.0 (/ 1 y)))) in y 0.275 * [taylor]: Taking taylor expansion of (* y (- 1.0 (/ 1 y))) in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.275 * [taylor]: Taking taylor expansion of 1.0 in y 0.275 * [backup-simplify]: Simplify 1.0 into 1.0 0.275 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (/ 1 1) into 1 0.275 * [backup-simplify]: Simplify (- 1) into -1 0.276 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.276 * [backup-simplify]: Simplify (* 0 -1) into 0 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.277 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.277 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.277 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.278 * [backup-simplify]: Simplify (- -1) into 1 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (+ 0 0) into 0 0.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.279 * [backup-simplify]: Simplify (- 0) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.279 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (/ 1 y))) (+ (* (/ 1 (- 1.0 (/ 1 y))) (/ 0 (- 1.0 (/ 1 y)))) (* (/ 1 (* y (- 1.0 (/ 1 y)))) (/ 0 (- 1.0 (/ 1 y)))))) into 0 0.280 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ 1 (* y (- 1.0 (/ 1 y))))) (* 0 (/ 1 (- 1.0 (/ 1 y)))))) into 0 0.280 * [taylor]: Taking taylor expansion of 0 in y 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (- 0) into 0 0.281 * [backup-simplify]: Simplify (+ 0 0) into 0 0.282 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.283 * [backup-simplify]: Simplify (- (+ (* -1 (/ 1.0 -1)))) into (- 1.0) 0.284 * [backup-simplify]: Simplify (- (- 1.0)) into 1.0 0.284 * [backup-simplify]: Simplify 1.0 into 1.0 0.284 * [backup-simplify]: Simplify (+ (* 1.0 (* (/ 1 (- y)) 1)) (+ (* 1 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1)) into (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) 0.284 * * * [progress]: simplifying candidates 0.285 * [simplify]: Simplifying: (* (+ 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))) (- (+ (* 1.0 x) (* 1.0 y)) (* 1.0 (* x y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) 0.285 * [simplify]: Sending expressions to egg_math: (* (+ h0 h1) (/ 1 (+ h1 h2))) (+ (log (+ h0 h1)) (- (log (+ h1 h2)))) (+ (log (+ h0 h1)) (- 0 (log (+ h1 h2)))) (+ (log (+ h0 h1)) (- (log 1) (log (+ h1 h2)))) (+ (log (+ h0 h1)) (log (/ 1 (+ h1 h2)))) (log (* (+ h0 h1) (/ 1 (+ h1 h2)))) (exp (* (+ h0 h1) (/ 1 (+ h1 h2)))) (* (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (/ (* (* 1 1) 1) (* (* (+ h1 h2) (+ h1 h2)) (+ h1 h2)))) (* (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* (/ 1 (+ h1 h2)) (/ 1 (+ h1 h2))) (/ 1 (+ h1 h2)))) (* (cbrt (* (+ h0 h1) (/ 1 (+ h1 h2)))) (cbrt (* (+ h0 h1) (/ 1 (+ h1 h2))))) (cbrt (* (+ h0 h1) (/ 1 (+ h1 h2)))) (* (* (* (+ h0 h1) (/ 1 (+ h1 h2))) (* (+ h0 h1) (/ 1 (+ h1 h2)))) (* (+ h0 h1) (/ 1 (+ h1 h2)))) (sqrt (* (+ h0 h1) (/ 1 (+ h1 h2)))) (sqrt (* (+ h0 h1) (/ 1 (+ h1 h2)))) (* (+ (pow h0 3) (pow h1 3)) 1) (* (+ (* h0 h0) (- (* h1 h1) (* h0 h1))) (+ h1 h2)) (* (- (* h0 h0) (* h1 h1)) 1) (* (- h0 h1) (+ h1 h2)) (* (sqrt (+ h0 h1)) (sqrt (/ 1 (+ h1 h2)))) (* (sqrt (+ h0 h1)) (sqrt (/ 1 (+ h1 h2)))) (* (sqrt (+ h0 h1)) (/ (sqrt 1) (sqrt (+ h1 h2)))) (* (sqrt (+ h0 h1)) (/ (sqrt 1) (sqrt (+ h1 h2)))) (* (sqrt (+ h0 h1)) (/ 1 (sqrt (+ h1 h2)))) (* (sqrt (+ h0 h1)) (/ 1 (sqrt (+ h1 h2)))) (* (+ h0 h1) (* (cbrt (/ 1 (+ h1 h2))) (cbrt (/ 1 (+ h1 h2))))) (* (+ h0 h1) (sqrt (/ 1 (+ h1 h2)))) (* (+ h0 h1) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ h1 h2)) (cbrt (+ h1 h2))))) (* (+ h0 h1) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ h1 h2)))) (* (+ h0 h1) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (+ h0 h1) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (+ h0 h1) (/ (sqrt 1) (* (cbrt (+ h1 h2)) (cbrt (+ h1 h2))))) (* (+ h0 h1) (/ (sqrt 1) (sqrt (+ h1 h2)))) (* (+ h0 h1) (/ (sqrt 1) 1)) (* (+ h0 h1) (/ (sqrt 1) 1)) (* (+ h0 h1) (/ 1 (* (cbrt (+ h1 h2)) (cbrt (+ h1 h2))))) (* (+ h0 h1) (/ 1 (sqrt (+ h1 h2)))) (* (+ h0 h1) (/ 1 1)) (* (+ h0 h1) (/ 1 1)) (* (+ h0 h1) 1) (* (+ h0 h1) 1) (* (+ h0 h1) (/ 1 (+ (pow h1 3) (pow h2 3)))) (* (+ h0 h1) (/ 1 (- (* h1 h1) (* h2 h2)))) (* (cbrt (+ h0 h1)) (/ 1 (+ h1 h2))) (* (sqrt (+ h0 h1)) (/ 1 (+ h1 h2))) (* (+ h0 h1) (/ 1 (+ h1 h2))) (* (+ h0 h1) (/ 1 (+ h1 h2))) (* (+ h0 h1) 1) (* (+ (pow h0 3) (pow h1 3)) (/ 1 (+ h1 h2))) (* (- (* h0 h0) (* h1 h1)) (/ 1 (+ h1 h2))) (- (+ (* h2 h0) (* h2 h1)) (* h2 (* h0 h1))) (- (+ (/ h0 h1) 1) (* h2 (/ 1 h1))) (- (+ (/ h0 h1) 1) (* h2 (/ 1 h1))) 0.289 * * [simplify]: iteration 0 : 312 enodes (cost 284 ) 0.295 * * [simplify]: iteration 1 : 1365 enodes (cost 244 ) 0.318 * * [simplify]: iteration 2 : 5001 enodes (cost 222 ) 0.319 * * * [progress]: adding candidates to table 0.393 * * [progress]: iteration 3 / 4 0.393 * * * [progress]: picking best candidate 0.394 * * * * [pick]: Picked # 0.394 * * * [progress]: localizing error 0.403 * * * [progress]: generating rewritten candidates 0.403 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.441 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.464 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.483 * * * [progress]: generating series expansions 0.483 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.483 * [backup-simplify]: Simplify (/ (/ (- (* x x) (* y y)) (+ y 1.0)) (- x y)) into (/ (- (pow x 2) (pow y 2)) (* (+ y 1.0) (- x y))) 0.483 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (* (+ y 1.0) (- x y))) in (x y) around 0 0.483 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (* (+ y 1.0) (- x y))) in y 0.483 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.483 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.483 * [taylor]: Taking taylor expansion of x in y 0.483 * [backup-simplify]: Simplify x into x 0.483 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.483 * [taylor]: Taking taylor expansion of y in y 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 1 into 1 0.483 * [taylor]: Taking taylor expansion of (* (+ y 1.0) (- x y)) in y 0.483 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.483 * [taylor]: Taking taylor expansion of y in y 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 1 into 1 0.483 * [taylor]: Taking taylor expansion of 1.0 in y 0.483 * [backup-simplify]: Simplify 1.0 into 1.0 0.483 * [taylor]: Taking taylor expansion of (- x y) in y 0.483 * [taylor]: Taking taylor expansion of x in y 0.483 * [backup-simplify]: Simplify x into x 0.483 * [taylor]: Taking taylor expansion of y in y 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 1 into 1 0.483 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.483 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.484 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.484 * [backup-simplify]: Simplify (- 0) into 0 0.484 * [backup-simplify]: Simplify (+ x 0) into x 0.484 * [backup-simplify]: Simplify (* 1.0 x) into (* 1.0 x) 0.484 * [backup-simplify]: Simplify (/ (pow x 2) (* 1.0 x)) into (* 1.0 x) 0.484 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (* (+ y 1.0) (- x y))) in x 0.484 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.484 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.485 * [taylor]: Taking taylor expansion of y in x 0.485 * [backup-simplify]: Simplify y into y 0.485 * [taylor]: Taking taylor expansion of (* (+ y 1.0) (- x y)) in x 0.485 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.485 * [taylor]: Taking taylor expansion of y in x 0.485 * [backup-simplify]: Simplify y into y 0.485 * [taylor]: Taking taylor expansion of 1.0 in x 0.485 * [backup-simplify]: Simplify 1.0 into 1.0 0.485 * [taylor]: Taking taylor expansion of (- x y) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [taylor]: Taking taylor expansion of y in x 0.485 * [backup-simplify]: Simplify y into y 0.485 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.485 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 0.485 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 0.485 * [backup-simplify]: Simplify (+ y 1.0) into (+ y 1.0) 0.485 * [backup-simplify]: Simplify (- y) into (- y) 0.485 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.485 * [backup-simplify]: Simplify (* (+ y 1.0) (- y)) into (* -1 (* y (+ y 1.0))) 0.485 * [backup-simplify]: Simplify (/ (- (pow y 2)) (* -1 (* y (+ y 1.0)))) into (/ y (+ y 1.0)) 0.485 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (* (+ y 1.0) (- x y))) in x 0.485 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.485 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.485 * [taylor]: Taking taylor expansion of y in x 0.485 * [backup-simplify]: Simplify y into y 0.485 * [taylor]: Taking taylor expansion of (* (+ y 1.0) (- x y)) in x 0.485 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.485 * [taylor]: Taking taylor expansion of y in x 0.485 * [backup-simplify]: Simplify y into y 0.485 * [taylor]: Taking taylor expansion of 1.0 in x 0.485 * [backup-simplify]: Simplify 1.0 into 1.0 0.485 * [taylor]: Taking taylor expansion of (- x y) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 1 into 1 0.486 * [taylor]: Taking taylor expansion of y in x 0.486 * [backup-simplify]: Simplify y into y 0.486 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.486 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 0.486 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 0.486 * [backup-simplify]: Simplify (+ y 1.0) into (+ y 1.0) 0.486 * [backup-simplify]: Simplify (- y) into (- y) 0.486 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.486 * [backup-simplify]: Simplify (* (+ y 1.0) (- y)) into (* -1 (* y (+ y 1.0))) 0.486 * [backup-simplify]: Simplify (/ (- (pow y 2)) (* -1 (* y (+ y 1.0)))) into (/ y (+ y 1.0)) 0.486 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.486 * [taylor]: Taking taylor expansion of y in y 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 1 into 1 0.486 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.486 * [taylor]: Taking taylor expansion of y in y 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 1 into 1 0.486 * [taylor]: Taking taylor expansion of 1.0 in y 0.486 * [backup-simplify]: Simplify 1.0 into 1.0 0.487 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.487 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 0.487 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.487 * [backup-simplify]: Simplify (- 0) into 0 0.487 * [backup-simplify]: Simplify (+ 0 0) into 0 0.488 * [backup-simplify]: Simplify (- 0) into 0 0.488 * [backup-simplify]: Simplify (+ 1 0) into 1 0.488 * [backup-simplify]: Simplify (+ 0 0) into 0 0.488 * [backup-simplify]: Simplify (+ (* (+ y 1.0) 1) (* 0 (- y))) into (+ y 1.0) 0.488 * [backup-simplify]: Simplify (- (/ 0 (* -1 (* y (+ y 1.0)))) (+ (* (/ y (+ y 1.0)) (/ (+ y 1.0) (* -1 (* y (+ y 1.0))))))) into (/ 1 (+ y 1.0)) 0.488 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in y 0.488 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.488 * [taylor]: Taking taylor expansion of y in y 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 1 into 1 0.488 * [taylor]: Taking taylor expansion of 1.0 in y 0.488 * [backup-simplify]: Simplify 1.0 into 1.0 0.489 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.489 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 0.489 * [backup-simplify]: Simplify 1.0 into 1.0 0.489 * [backup-simplify]: Simplify 1.0 into 1.0 0.489 * [backup-simplify]: Simplify (* 1 1) into 1 0.490 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.490 * [backup-simplify]: Simplify (- 0) into 0 0.490 * [backup-simplify]: Simplify (+ 1 0) into 1 0.490 * [backup-simplify]: Simplify (- 0) into 0 0.490 * [backup-simplify]: Simplify (+ 0 0) into 0 0.491 * [backup-simplify]: Simplify (+ 0 0) into 0 0.491 * [backup-simplify]: Simplify (+ (* (+ y 1.0) 0) (+ (* 0 1) (* 0 (- y)))) into 0 0.491 * [backup-simplify]: Simplify (- (/ 1 (* -1 (* y (+ y 1.0)))) (+ (* (/ y (+ y 1.0)) (/ 0 (* -1 (* y (+ y 1.0))))) (* (/ 1 (+ y 1.0)) (/ (+ y 1.0) (* -1 (* y (+ y 1.0))))))) into 0 0.491 * [taylor]: Taking taylor expansion of 0 in y 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify (+ 1 0) into 1 0.493 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 1 1.0)))) into (- 1.0) 0.493 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.493 * [backup-simplify]: Simplify (+ (* (- 1.0) (* y x)) (+ (* 1.0 (* y 1)) (* 1.0 (* 1 x)))) into (- (+ (* 1.0 x) (* 1.0 y)) (* 1.0 (* x y))) 0.497 * [backup-simplify]: Simplify (/ (/ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (+ (/ 1 y) 1.0)) (- (/ 1 x) (/ 1 y))) into (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) 1.0))) 0.497 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) 1.0))) in (x y) around 0 0.497 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) 1.0))) in y 0.497 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.497 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.497 * [taylor]: Taking taylor expansion of x in y 0.497 * [backup-simplify]: Simplify x into x 0.497 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.497 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.497 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.497 * [taylor]: Taking taylor expansion of y in y 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.498 * [backup-simplify]: Simplify (* 1 1) into 1 0.498 * [backup-simplify]: Simplify (/ 1 1) into 1 0.498 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) 1.0)) in y 0.498 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.498 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.498 * [taylor]: Taking taylor expansion of x in y 0.498 * [backup-simplify]: Simplify x into x 0.498 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.498 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.498 * [taylor]: Taking taylor expansion of y in y 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.498 * [backup-simplify]: Simplify (/ 1 1) into 1 0.498 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.498 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.498 * [taylor]: Taking taylor expansion of y in y 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.499 * [backup-simplify]: Simplify (/ 1 1) into 1 0.499 * [taylor]: Taking taylor expansion of 1.0 in y 0.499 * [backup-simplify]: Simplify 1.0 into 1.0 0.499 * [backup-simplify]: Simplify (- 1) into -1 0.499 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.499 * [backup-simplify]: Simplify (- 1) into -1 0.500 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.500 * [backup-simplify]: Simplify (+ 1 0) into 1 0.500 * [backup-simplify]: Simplify (* -1 1) into -1 0.500 * [backup-simplify]: Simplify (/ -1 -1) into 1 0.500 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) 1.0))) in x 0.500 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.500 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (* 1 1) into 1 0.501 * [backup-simplify]: Simplify (/ 1 1) into 1 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.501 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.501 * [taylor]: Taking taylor expansion of y in x 0.501 * [backup-simplify]: Simplify y into y 0.501 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.501 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.501 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) 1.0)) in x 0.501 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.502 * [backup-simplify]: Simplify (/ 1 1) into 1 0.502 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.502 * [taylor]: Taking taylor expansion of y in x 0.502 * [backup-simplify]: Simplify y into y 0.502 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.502 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.502 * [taylor]: Taking taylor expansion of y in x 0.502 * [backup-simplify]: Simplify y into y 0.502 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.502 * [taylor]: Taking taylor expansion of 1.0 in x 0.502 * [backup-simplify]: Simplify 1.0 into 1.0 0.502 * [backup-simplify]: Simplify (+ 1 0) into 1 0.502 * [backup-simplify]: Simplify (+ 1 0) into 1 0.502 * [backup-simplify]: Simplify (+ (/ 1 y) 1.0) into (+ (/ 1 y) 1.0) 0.502 * [backup-simplify]: Simplify (* 1 (+ (/ 1 y) 1.0)) into (+ (/ 1 y) 1.0) 0.502 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 y) 1.0)) into (/ 1 (+ (/ 1 y) 1.0)) 0.502 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) 1.0))) in x 0.503 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.503 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 1 into 1 0.503 * [backup-simplify]: Simplify (* 1 1) into 1 0.503 * [backup-simplify]: Simplify (/ 1 1) into 1 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.503 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.503 * [taylor]: Taking taylor expansion of y in x 0.503 * [backup-simplify]: Simplify y into y 0.503 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.503 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.503 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) 1.0)) in x 0.503 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 1 into 1 0.504 * [backup-simplify]: Simplify (/ 1 1) into 1 0.504 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.504 * [taylor]: Taking taylor expansion of y in x 0.504 * [backup-simplify]: Simplify y into y 0.504 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.504 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.504 * [taylor]: Taking taylor expansion of y in x 0.504 * [backup-simplify]: Simplify y into y 0.504 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.504 * [backup-simplify]: Simplify 1.0 into 1.0 0.504 * [backup-simplify]: Simplify (+ 1 0) into 1 0.504 * [backup-simplify]: Simplify (+ 1 0) into 1 0.504 * [backup-simplify]: Simplify (+ (/ 1 y) 1.0) into (+ (/ 1 y) 1.0) 0.504 * [backup-simplify]: Simplify (* 1 (+ (/ 1 y) 1.0)) into (+ (/ 1 y) 1.0) 0.504 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 y) 1.0)) into (/ 1 (+ (/ 1 y) 1.0)) 0.505 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.505 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.505 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.505 * [taylor]: Taking taylor expansion of y in y 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify 1 into 1 0.505 * [backup-simplify]: Simplify (/ 1 1) into 1 0.505 * [taylor]: Taking taylor expansion of 1.0 in y 0.505 * [backup-simplify]: Simplify 1.0 into 1.0 0.505 * [backup-simplify]: Simplify (+ 1 0) into 1 0.505 * [backup-simplify]: Simplify (/ 1 1) into 1 0.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (+ 0 0) into 0 0.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.507 * [backup-simplify]: Simplify (+ 0 0) into 0 0.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.507 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.507 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.508 * [backup-simplify]: Simplify (+ (* 1 0) (* (- (/ 1 y)) (+ (/ 1 y) 1.0))) into (- (+ (* 1.0 (/ 1 y)) (/ 1 (pow y 2)))) 0.508 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 y) 1.0)) (+ (* (/ 1 (+ (/ 1 y) 1.0)) (/ (- (+ (* 1.0 (/ 1 y)) (/ 1 (pow y 2)))) (+ (/ 1 y) 1.0))))) into (+ (/ 1 (* (pow (+ (/ 1 y) 1.0) 2) (pow y 2))) (* 1.0 (/ 1 (* (pow (+ (/ 1 y) 1.0) 2) y)))) 0.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow (+ (/ 1 y) 1.0) 2) (pow y 2))) (* 1.0 (/ 1 (* (pow (+ (/ 1 y) 1.0) 2) y)))) in y 0.508 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 y) 1.0) 2) (pow y 2))) in y 0.508 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 y) 1.0) 2) (pow y 2)) in y 0.508 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) 1.0) 2) in y 0.508 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.508 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.508 * [taylor]: Taking taylor expansion of y in y 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [backup-simplify]: Simplify (/ 1 1) into 1 0.508 * [taylor]: Taking taylor expansion of 1.0 in y 0.509 * [backup-simplify]: Simplify 1.0 into 1.0 0.509 * [backup-simplify]: Simplify (+ 1 0) into 1 0.509 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.509 * [taylor]: Taking taylor expansion of y in y 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [backup-simplify]: Simplify (* 1 1) into 1 0.510 * [backup-simplify]: Simplify (* 1 1) into 1 0.510 * [backup-simplify]: Simplify (* 1 1) into 1 0.510 * [backup-simplify]: Simplify (/ 1 1) into 1 0.510 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* (pow (+ (/ 1 y) 1.0) 2) y))) in y 0.510 * [taylor]: Taking taylor expansion of 1.0 in y 0.510 * [backup-simplify]: Simplify 1.0 into 1.0 0.510 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 y) 1.0) 2) y)) in y 0.510 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 y) 1.0) 2) y) in y 0.510 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) 1.0) 2) in y 0.510 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.510 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.510 * [taylor]: Taking taylor expansion of y in y 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify 1 into 1 0.510 * [backup-simplify]: Simplify (/ 1 1) into 1 0.510 * [taylor]: Taking taylor expansion of 1.0 in y 0.510 * [backup-simplify]: Simplify 1.0 into 1.0 0.511 * [backup-simplify]: Simplify (+ 1 0) into 1 0.511 * [taylor]: Taking taylor expansion of y in y 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify 1 into 1 0.511 * [backup-simplify]: Simplify (* 1 1) into 1 0.511 * [backup-simplify]: Simplify (* 1 0) into 0 0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.512 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.513 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0 0.513 * [backup-simplify]: Simplify (+ (* 1 1) (* 2.0 0)) into 1 0.513 * [backup-simplify]: Simplify (/ 1 1) into 1 0.514 * [backup-simplify]: Simplify (+ 1 0) into 1 0.514 * [backup-simplify]: Simplify 1 into 1 0.514 * [backup-simplify]: Simplify 1 into 1 0.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.515 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.515 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.515 * [backup-simplify]: Simplify (+ 0 0) into 0 0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.516 * [backup-simplify]: Simplify (- 0) into 0 0.516 * [backup-simplify]: Simplify (+ 0 0) into 0 0.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (* 0 (+ (/ 1 y) 1.0)))) into 0 0.518 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) (+ (/ 1 y) 1.0)) (+ (* (/ 1 (+ (/ 1 y) 1.0)) (/ 0 (+ (/ 1 y) 1.0))) (* (+ (/ 1 (* (pow (+ (/ 1 y) 1.0) 2) (pow y 2))) (* 1.0 (/ 1 (* (pow (+ (/ 1 y) 1.0) 2) y)))) (/ (- (+ (* 1.0 (/ 1 y)) (/ 1 (pow y 2)))) (+ (/ 1 y) 1.0))))) into (- (+ (* 1.0 (/ 1 (* (pow (+ (/ 1 y) 1.0) 3) (pow y 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (/ 1 y) 1.0) 3) (pow y 3)))) (/ 1 (* (pow (+ (/ 1 y) 1.0) 3) (pow y 4))))) (/ 1 (* (+ (/ 1 y) 1.0) (pow y 2)))) 0.518 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 (* (pow (+ (/ 1 y) 1.0) 3) (pow y 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (/ 1 y) 1.0) 3) (pow y 3)))) (/ 1 (* (pow (+ (/ 1 y) 1.0) 3) (pow y 4))))) (/ 1 (* (+ (/ 1 y) 1.0) (pow y 2)))) in y 0.518 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (* (pow (+ (/ 1 y) 1.0) 3) (pow y 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (/ 1 y) 1.0) 3) (pow y 3)))) (/ 1 (* (pow (+ (/ 1 y) 1.0) 3) (pow y 4))))) in y 0.518 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* (pow (+ (/ 1 y) 1.0) 3) (pow y 2)))) in y 0.518 * [taylor]: Taking taylor expansion of 1.0 in y 0.518 * [backup-simplify]: Simplify 1.0 into 1.0 0.518 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 y) 1.0) 3) (pow y 2))) in y 0.518 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 y) 1.0) 3) (pow y 2)) in y 0.518 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) 1.0) 3) in y 0.518 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.518 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.518 * [taylor]: Taking taylor expansion of y in y 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify 1 into 1 0.519 * [backup-simplify]: Simplify (/ 1 1) into 1 0.519 * [taylor]: Taking taylor expansion of 1.0 in y 0.519 * [backup-simplify]: Simplify 1.0 into 1.0 0.519 * [backup-simplify]: Simplify (+ 1 0) into 1 0.519 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.519 * [taylor]: Taking taylor expansion of y in y 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 1 into 1 0.519 * [backup-simplify]: Simplify (* 1 1) into 1 0.519 * [backup-simplify]: Simplify (* 1 1) into 1 0.520 * [backup-simplify]: Simplify (* 1 1) into 1 0.520 * [backup-simplify]: Simplify (* 1 1) into 1 0.520 * [backup-simplify]: Simplify (/ 1 1) into 1 0.520 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 (* (pow (+ (/ 1 y) 1.0) 3) (pow y 3)))) (/ 1 (* (pow (+ (/ 1 y) 1.0) 3) (pow y 4)))) in y 0.520 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* (pow (+ (/ 1 y) 1.0) 3) (pow y 3)))) in y 0.520 * [taylor]: Taking taylor expansion of 2.0 in y 0.520 * [backup-simplify]: Simplify 2.0 into 2.0 0.520 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 y) 1.0) 3) (pow y 3))) in y 0.520 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 y) 1.0) 3) (pow y 3)) in y 0.520 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) 1.0) 3) in y 0.520 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.520 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.520 * [taylor]: Taking taylor expansion of y in y 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 1 into 1 0.521 * [backup-simplify]: Simplify (/ 1 1) into 1 0.521 * [taylor]: Taking taylor expansion of 1.0 in y 0.521 * [backup-simplify]: Simplify 1.0 into 1.0 0.521 * [backup-simplify]: Simplify (+ 1 0) into 1 0.521 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.521 * [taylor]: Taking taylor expansion of y in y 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 1 into 1 0.521 * [backup-simplify]: Simplify (* 1 1) into 1 0.521 * [backup-simplify]: Simplify (* 1 1) into 1 0.522 * [backup-simplify]: Simplify (* 1 1) into 1 0.522 * [backup-simplify]: Simplify (* 1 1) into 1 0.522 * [backup-simplify]: Simplify (* 1 1) into 1 0.522 * [backup-simplify]: Simplify (/ 1 1) into 1 0.522 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (/ 1 y) 1.0) 3) (pow y 4))) in y 0.522 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 y) 1.0) 3) (pow y 4)) in y 0.522 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) 1.0) 3) in y 0.522 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.522 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.522 * [taylor]: Taking taylor expansion of y in y 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 1 into 1 0.523 * [backup-simplify]: Simplify (/ 1 1) into 1 0.523 * [taylor]: Taking taylor expansion of 1.0 in y 0.523 * [backup-simplify]: Simplify 1.0 into 1.0 0.523 * [backup-simplify]: Simplify (+ 1 0) into 1 0.523 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.523 * [taylor]: Taking taylor expansion of y in y 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 1 into 1 0.523 * [backup-simplify]: Simplify (* 1 1) into 1 0.523 * [backup-simplify]: Simplify (* 1 1) into 1 0.524 * [backup-simplify]: Simplify (* 1 1) into 1 0.524 * [backup-simplify]: Simplify (* 1 1) into 1 0.524 * [backup-simplify]: Simplify (* 1 1) into 1 0.524 * [backup-simplify]: Simplify (/ 1 1) into 1 0.524 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) (pow y 2))) in y 0.524 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) (pow y 2)) in y 0.524 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.524 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.524 * [taylor]: Taking taylor expansion of y in y 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify 1 into 1 0.525 * [backup-simplify]: Simplify (/ 1 1) into 1 0.525 * [taylor]: Taking taylor expansion of 1.0 in y 0.525 * [backup-simplify]: Simplify 1.0 into 1.0 0.525 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.525 * [taylor]: Taking taylor expansion of y in y 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 1 into 1 0.525 * [backup-simplify]: Simplify (+ 1 0) into 1 0.525 * [backup-simplify]: Simplify (* 1 1) into 1 0.525 * [backup-simplify]: Simplify (* 1 1) into 1 0.526 * [backup-simplify]: Simplify (/ 1 1) into 1 0.526 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.527 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.528 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0 0.529 * [backup-simplify]: Simplify (+ (* 1 2.0) (* 1.0 1)) into 3.0 0.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 3.0 1)) into 3.0 0.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 3.0 1)))) into (- 3.0) 0.531 * [backup-simplify]: Simplify (+ 2.0 (- 3.0)) into (- 1.0) 0.532 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 1.0 1)) into 1.0 0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1.0 1)))) into (- 1.0) 0.535 * [backup-simplify]: Simplify (- (- 1.0)) into 1.0 0.536 * [backup-simplify]: Simplify (+ (- 1.0) 1.0) into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.537 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.538 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0 0.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 2.0 1)) into 2.0 0.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 2.0 1)))) into (- 2.0) 0.540 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.541 * [backup-simplify]: Simplify (+ (- 2.0) 1.0) into (- 1.0) 0.541 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.541 * [backup-simplify]: Simplify (+ (* (- 1.0) (* (/ 1 y) 1)) (+ (* 1 (* (/ 1 y) (/ 1 (/ 1 x)))) 1)) into (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) 0.541 * [backup-simplify]: Simplify (/ (/ (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (+ (/ 1 (- y)) 1.0)) (- (/ 1 (- x)) (/ 1 (- y)))) into (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- 1.0 (/ 1 y)) (- (/ 1 y) (/ 1 x)))) 0.541 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- 1.0 (/ 1 y)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.542 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- 1.0 (/ 1 y)) (- (/ 1 y) (/ 1 x)))) in y 0.542 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.542 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.542 * [taylor]: Taking taylor expansion of x in y 0.542 * [backup-simplify]: Simplify x into x 0.542 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.542 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.542 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.542 * [taylor]: Taking taylor expansion of y in y 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 1 into 1 0.542 * [backup-simplify]: Simplify (* 1 1) into 1 0.542 * [backup-simplify]: Simplify (/ 1 1) into 1 0.542 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) (- (/ 1 y) (/ 1 x))) in y 0.542 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.542 * [taylor]: Taking taylor expansion of 1.0 in y 0.542 * [backup-simplify]: Simplify 1.0 into 1.0 0.542 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.542 * [taylor]: Taking taylor expansion of y in y 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 1 into 1 0.543 * [backup-simplify]: Simplify (/ 1 1) into 1 0.543 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.543 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.543 * [taylor]: Taking taylor expansion of y in y 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 1 into 1 0.543 * [backup-simplify]: Simplify (/ 1 1) into 1 0.543 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.543 * [taylor]: Taking taylor expansion of x in y 0.543 * [backup-simplify]: Simplify x into x 0.543 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.543 * [backup-simplify]: Simplify (- 1) into -1 0.543 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.544 * [backup-simplify]: Simplify (- 1) into -1 0.544 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.544 * [backup-simplify]: Simplify (+ 1 0) into 1 0.544 * [backup-simplify]: Simplify (* -1 1) into -1 0.545 * [backup-simplify]: Simplify (/ -1 -1) into 1 0.545 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- 1.0 (/ 1 y)) (- (/ 1 y) (/ 1 x)))) in x 0.545 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.545 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 1 into 1 0.545 * [backup-simplify]: Simplify (* 1 1) into 1 0.545 * [backup-simplify]: Simplify (/ 1 1) into 1 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.545 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.545 * [taylor]: Taking taylor expansion of y in x 0.545 * [backup-simplify]: Simplify y into y 0.545 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.545 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.545 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) (- (/ 1 y) (/ 1 x))) in x 0.545 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.545 * [taylor]: Taking taylor expansion of 1.0 in x 0.545 * [backup-simplify]: Simplify 1.0 into 1.0 0.545 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.545 * [taylor]: Taking taylor expansion of y in x 0.545 * [backup-simplify]: Simplify y into y 0.546 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.546 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.546 * [taylor]: Taking taylor expansion of y in x 0.546 * [backup-simplify]: Simplify y into y 0.546 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 1 into 1 0.546 * [backup-simplify]: Simplify (/ 1 1) into 1 0.546 * [backup-simplify]: Simplify (+ 1 0) into 1 0.546 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.546 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 y))) into (- 1.0 (/ 1 y)) 0.546 * [backup-simplify]: Simplify (- 1) into -1 0.547 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.547 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 y)) -1) into (* -1 (- 1.0 (/ 1 y))) 0.547 * [backup-simplify]: Simplify (/ 1 (* -1 (- 1.0 (/ 1 y)))) into (/ -1 (- 1.0 (/ 1 y))) 0.547 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- 1.0 (/ 1 y)) (- (/ 1 y) (/ 1 x)))) in x 0.547 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.547 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify 1 into 1 0.547 * [backup-simplify]: Simplify (* 1 1) into 1 0.547 * [backup-simplify]: Simplify (/ 1 1) into 1 0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.547 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.547 * [taylor]: Taking taylor expansion of y in x 0.547 * [backup-simplify]: Simplify y into y 0.548 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.548 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.548 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) (- (/ 1 y) (/ 1 x))) in x 0.548 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.548 * [taylor]: Taking taylor expansion of 1.0 in x 0.548 * [backup-simplify]: Simplify 1.0 into 1.0 0.548 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.548 * [taylor]: Taking taylor expansion of y in x 0.548 * [backup-simplify]: Simplify y into y 0.548 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.548 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.548 * [taylor]: Taking taylor expansion of y in x 0.548 * [backup-simplify]: Simplify y into y 0.548 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.548 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 1 into 1 0.548 * [backup-simplify]: Simplify (/ 1 1) into 1 0.548 * [backup-simplify]: Simplify (+ 1 0) into 1 0.548 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.548 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 y))) into (- 1.0 (/ 1 y)) 0.549 * [backup-simplify]: Simplify (- 1) into -1 0.549 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.549 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 y)) -1) into (* -1 (- 1.0 (/ 1 y))) 0.549 * [backup-simplify]: Simplify (/ 1 (* -1 (- 1.0 (/ 1 y)))) into (/ -1 (- 1.0 (/ 1 y))) 0.549 * [taylor]: Taking taylor expansion of (/ -1 (- 1.0 (/ 1 y))) in y 0.549 * [taylor]: Taking taylor expansion of -1 in y 0.549 * [backup-simplify]: Simplify -1 into -1 0.549 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.549 * [taylor]: Taking taylor expansion of 1.0 in y 0.549 * [backup-simplify]: Simplify 1.0 into 1.0 0.549 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.549 * [taylor]: Taking taylor expansion of y in y 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 1 into 1 0.550 * [backup-simplify]: Simplify (/ 1 1) into 1 0.550 * [backup-simplify]: Simplify (- 1) into -1 0.550 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.550 * [backup-simplify]: Simplify (/ -1 -1) into 1 0.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.551 * [backup-simplify]: Simplify (+ 0 0) into 0 0.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.552 * [backup-simplify]: Simplify (- 0) into 0 0.552 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.552 * [backup-simplify]: Simplify (- 0) into 0 0.552 * [backup-simplify]: Simplify (+ 0 0) into 0 0.553 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 y)) (/ 1 y)) (* 0 -1)) into (- (* 1.0 (/ 1 y)) (/ 1 (pow y 2))) 0.553 * [backup-simplify]: Simplify (- (/ 0 (* -1 (- 1.0 (/ 1 y)))) (+ (* (/ -1 (- 1.0 (/ 1 y))) (/ (- (* 1.0 (/ 1 y)) (/ 1 (pow y 2))) (* -1 (- 1.0 (/ 1 y))))))) into (- (/ 1 (* (pow y 2) (pow (- 1.0 (/ 1 y)) 2))) (* 1.0 (/ 1 (* (pow (- 1.0 (/ 1 y)) 2) y)))) 0.553 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow y 2) (pow (- 1.0 (/ 1 y)) 2))) (* 1.0 (/ 1 (* (pow (- 1.0 (/ 1 y)) 2) y)))) in y 0.553 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (pow (- 1.0 (/ 1 y)) 2))) in y 0.553 * [taylor]: Taking taylor expansion of (* (pow y 2) (pow (- 1.0 (/ 1 y)) 2)) in y 0.553 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.553 * [taylor]: Taking taylor expansion of y in y 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify 1 into 1 0.553 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 y)) 2) in y 0.553 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.553 * [taylor]: Taking taylor expansion of 1.0 in y 0.553 * [backup-simplify]: Simplify 1.0 into 1.0 0.553 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.553 * [taylor]: Taking taylor expansion of y in y 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify 1 into 1 0.554 * [backup-simplify]: Simplify (/ 1 1) into 1 0.554 * [backup-simplify]: Simplify (- 1) into -1 0.554 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.554 * [backup-simplify]: Simplify (* 1 1) into 1 0.555 * [backup-simplify]: Simplify (* -1 -1) into 1 0.555 * [backup-simplify]: Simplify (* 1 1) into 1 0.555 * [backup-simplify]: Simplify (/ 1 1) into 1 0.555 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* (pow (- 1.0 (/ 1 y)) 2) y))) in y 0.555 * [taylor]: Taking taylor expansion of 1.0 in y 0.555 * [backup-simplify]: Simplify 1.0 into 1.0 0.555 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (- 1.0 (/ 1 y)) 2) y)) in y 0.555 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 y)) 2) y) in y 0.555 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 y)) 2) in y 0.555 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.555 * [taylor]: Taking taylor expansion of 1.0 in y 0.555 * [backup-simplify]: Simplify 1.0 into 1.0 0.555 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.555 * [taylor]: Taking taylor expansion of y in y 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 1 into 1 0.555 * [backup-simplify]: Simplify (/ 1 1) into 1 0.556 * [backup-simplify]: Simplify (- 1) into -1 0.556 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.556 * [taylor]: Taking taylor expansion of y in y 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.556 * [backup-simplify]: Simplify (* -1 -1) into 1 0.556 * [backup-simplify]: Simplify (* 1 0) into 0 0.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.557 * [backup-simplify]: Simplify (- 0) into 0 0.557 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.558 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 1.0 -1)) into (- 2.0) 0.558 * [backup-simplify]: Simplify (+ (* 1 1) (* (- 2.0) 0)) into 1 0.559 * [backup-simplify]: Simplify (/ 1 1) into 1 0.559 * [backup-simplify]: Simplify (+ 1 0) into 1 0.559 * [backup-simplify]: Simplify 1 into 1 0.559 * [backup-simplify]: Simplify 1 into 1 0.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.560 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.560 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.561 * [backup-simplify]: Simplify (- 0) into 0 0.561 * [backup-simplify]: Simplify (+ 0 0) into 0 0.562 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.562 * [backup-simplify]: Simplify (- 0) into 0 0.562 * [backup-simplify]: Simplify (+ 0 0) into 0 0.562 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 -1))) into 0 0.563 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) (* -1 (- 1.0 (/ 1 y)))) (+ (* (/ -1 (- 1.0 (/ 1 y))) (/ 0 (* -1 (- 1.0 (/ 1 y))))) (* (- (/ 1 (* (pow y 2) (pow (- 1.0 (/ 1 y)) 2))) (* 1.0 (/ 1 (* (pow (- 1.0 (/ 1 y)) 2) y)))) (/ (- (* 1.0 (/ 1 y)) (/ 1 (pow y 2))) (* -1 (- 1.0 (/ 1 y))))))) into (- (+ (/ 1 (* (pow y 2) (- 1.0 (/ 1 y)))) (* 2.0 (/ 1 (* (pow (- 1.0 (/ 1 y)) 3) (pow y 3))))) (+ (/ 1 (* (pow y 4) (pow (- 1.0 (/ 1 y)) 3))) (* 1.0 (/ 1 (* (pow (- 1.0 (/ 1 y)) 3) (pow y 2)))))) 0.564 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* (pow y 2) (- 1.0 (/ 1 y)))) (* 2.0 (/ 1 (* (pow (- 1.0 (/ 1 y)) 3) (pow y 3))))) (+ (/ 1 (* (pow y 4) (pow (- 1.0 (/ 1 y)) 3))) (* 1.0 (/ 1 (* (pow (- 1.0 (/ 1 y)) 3) (pow y 2)))))) in y 0.564 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow y 2) (- 1.0 (/ 1 y)))) (* 2.0 (/ 1 (* (pow (- 1.0 (/ 1 y)) 3) (pow y 3))))) in y 0.564 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (- 1.0 (/ 1 y)))) in y 0.564 * [taylor]: Taking taylor expansion of (* (pow y 2) (- 1.0 (/ 1 y))) in y 0.564 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.564 * [taylor]: Taking taylor expansion of y in y 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify 1 into 1 0.564 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.564 * [taylor]: Taking taylor expansion of 1.0 in y 0.564 * [backup-simplify]: Simplify 1.0 into 1.0 0.564 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.564 * [taylor]: Taking taylor expansion of y in y 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify 1 into 1 0.564 * [backup-simplify]: Simplify (/ 1 1) into 1 0.564 * [backup-simplify]: Simplify (* 1 1) into 1 0.564 * [backup-simplify]: Simplify (- 1) into -1 0.565 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.565 * [backup-simplify]: Simplify (* 1 -1) into -1 0.565 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.565 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* (pow (- 1.0 (/ 1 y)) 3) (pow y 3)))) in y 0.565 * [taylor]: Taking taylor expansion of 2.0 in y 0.565 * [backup-simplify]: Simplify 2.0 into 2.0 0.565 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (- 1.0 (/ 1 y)) 3) (pow y 3))) in y 0.565 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 y)) 3) (pow y 3)) in y 0.565 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 y)) 3) in y 0.565 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.565 * [taylor]: Taking taylor expansion of 1.0 in y 0.565 * [backup-simplify]: Simplify 1.0 into 1.0 0.565 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.565 * [taylor]: Taking taylor expansion of y in y 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 1 into 1 0.566 * [backup-simplify]: Simplify (/ 1 1) into 1 0.566 * [backup-simplify]: Simplify (- 1) into -1 0.566 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.566 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.566 * [taylor]: Taking taylor expansion of y in y 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.566 * [backup-simplify]: Simplify (* -1 -1) into 1 0.566 * [backup-simplify]: Simplify (* -1 1) into -1 0.567 * [backup-simplify]: Simplify (* 1 1) into 1 0.567 * [backup-simplify]: Simplify (* 1 1) into 1 0.567 * [backup-simplify]: Simplify (* -1 1) into -1 0.567 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.567 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (pow y 4) (pow (- 1.0 (/ 1 y)) 3))) (* 1.0 (/ 1 (* (pow (- 1.0 (/ 1 y)) 3) (pow y 2))))) in y 0.567 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 4) (pow (- 1.0 (/ 1 y)) 3))) in y 0.567 * [taylor]: Taking taylor expansion of (* (pow y 4) (pow (- 1.0 (/ 1 y)) 3)) in y 0.567 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.568 * [taylor]: Taking taylor expansion of y in y 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 y)) 3) in y 0.568 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.568 * [taylor]: Taking taylor expansion of 1.0 in y 0.568 * [backup-simplify]: Simplify 1.0 into 1.0 0.568 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.568 * [taylor]: Taking taylor expansion of y in y 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [backup-simplify]: Simplify (/ 1 1) into 1 0.568 * [backup-simplify]: Simplify (- 1) into -1 0.568 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.569 * [backup-simplify]: Simplify (* 1 1) into 1 0.569 * [backup-simplify]: Simplify (* 1 1) into 1 0.569 * [backup-simplify]: Simplify (* -1 -1) into 1 0.569 * [backup-simplify]: Simplify (* -1 1) into -1 0.569 * [backup-simplify]: Simplify (* 1 -1) into -1 0.570 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.570 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* (pow (- 1.0 (/ 1 y)) 3) (pow y 2)))) in y 0.570 * [taylor]: Taking taylor expansion of 1.0 in y 0.570 * [backup-simplify]: Simplify 1.0 into 1.0 0.570 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (- 1.0 (/ 1 y)) 3) (pow y 2))) in y 0.570 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 y)) 3) (pow y 2)) in y 0.570 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 y)) 3) in y 0.570 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.570 * [taylor]: Taking taylor expansion of 1.0 in y 0.570 * [backup-simplify]: Simplify 1.0 into 1.0 0.570 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 1 into 1 0.570 * [backup-simplify]: Simplify (/ 1 1) into 1 0.570 * [backup-simplify]: Simplify (- 1) into -1 0.571 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.571 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.571 * [taylor]: Taking taylor expansion of y in y 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 1 into 1 0.571 * [backup-simplify]: Simplify (* -1 -1) into 1 0.571 * [backup-simplify]: Simplify (* -1 1) into -1 0.571 * [backup-simplify]: Simplify (* 1 1) into 1 0.572 * [backup-simplify]: Simplify (* -1 1) into -1 0.572 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.572 * [backup-simplify]: Simplify (- 0) into 0 0.573 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.574 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 0 -1)) into 1.0 0.575 * [backup-simplify]: Simplify (- (+ (* -1 (/ 1.0 -1)))) into (- 1.0) 0.576 * [backup-simplify]: Simplify (* 2.0 -1) into -2.0 0.576 * [backup-simplify]: Simplify (+ (- 1.0) -2.0) into (- 3.0) 0.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.577 * [backup-simplify]: Simplify (- 0) into 0 0.577 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.578 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 1.0 -1)) into (- 2.0) 0.579 * [backup-simplify]: Simplify (+ (* -1 (- 2.0)) (* 1.0 1)) into 3.0 0.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.581 * [backup-simplify]: Simplify (+ (* 1 3.0) (* 0 -1)) into 3.0 0.582 * [backup-simplify]: Simplify (- (+ (* -1 (/ 3.0 -1)))) into (- 3.0) 0.582 * [backup-simplify]: Simplify (+ (- 3.0) 0) into (- 3.0) 0.583 * [backup-simplify]: Simplify (- (- 3.0)) into 3.0 0.583 * [backup-simplify]: Simplify (+ (- 3.0) 3.0) into 0 0.583 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (- 0) into 0 0.584 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.585 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 1.0 -1)) into (- 2.0) 0.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.586 * [backup-simplify]: Simplify (+ (* 1 (- 2.0)) (* 0 1)) into (- 2.0) 0.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- 2.0) 1)))) into 2.0 0.591 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.591 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.591 * [backup-simplify]: Simplify (+ 2.0 (- 1.0)) into 1.0 0.591 * [backup-simplify]: Simplify 1.0 into 1.0 0.592 * [backup-simplify]: Simplify (+ (* 1.0 (* (/ 1 (- y)) 1)) (+ (* 1 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1)) into (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) 0.592 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.592 * [backup-simplify]: Simplify (/ (- (* x x) (* y y)) (+ y 1.0)) into (/ (- (pow x 2) (pow y 2)) (+ y 1.0)) 0.592 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ y 1.0)) in (x y) around 0 0.592 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ y 1.0)) in y 0.592 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.592 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.592 * [taylor]: Taking taylor expansion of x in y 0.592 * [backup-simplify]: Simplify x into x 0.592 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.592 * [taylor]: Taking taylor expansion of y in y 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify 1 into 1 0.592 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.592 * [taylor]: Taking taylor expansion of y in y 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify 1 into 1 0.592 * [taylor]: Taking taylor expansion of 1.0 in y 0.592 * [backup-simplify]: Simplify 1.0 into 1.0 0.592 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.592 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.593 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.593 * [backup-simplify]: Simplify (/ (pow x 2) 1.0) into (* 1.0 (pow x 2)) 0.593 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ y 1.0)) in x 0.593 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.593 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify 1 into 1 0.593 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.593 * [taylor]: Taking taylor expansion of y in x 0.593 * [backup-simplify]: Simplify y into y 0.593 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.593 * [taylor]: Taking taylor expansion of y in x 0.593 * [backup-simplify]: Simplify y into y 0.593 * [taylor]: Taking taylor expansion of 1.0 in x 0.593 * [backup-simplify]: Simplify 1.0 into 1.0 0.593 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.593 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 0.593 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 0.593 * [backup-simplify]: Simplify (+ y 1.0) into (+ y 1.0) 0.593 * [backup-simplify]: Simplify (/ (- (pow y 2)) (+ y 1.0)) into (* -1 (/ (pow y 2) (+ y 1.0))) 0.593 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ y 1.0)) in x 0.593 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.593 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify 1 into 1 0.593 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.593 * [taylor]: Taking taylor expansion of y in x 0.593 * [backup-simplify]: Simplify y into y 0.593 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.593 * [taylor]: Taking taylor expansion of y in x 0.593 * [backup-simplify]: Simplify y into y 0.593 * [taylor]: Taking taylor expansion of 1.0 in x 0.594 * [backup-simplify]: Simplify 1.0 into 1.0 0.594 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.594 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 0.594 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 0.594 * [backup-simplify]: Simplify (+ y 1.0) into (+ y 1.0) 0.594 * [backup-simplify]: Simplify (/ (- (pow y 2)) (+ y 1.0)) into (* -1 (/ (pow y 2) (+ y 1.0))) 0.594 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) (+ y 1.0))) in y 0.594 * [taylor]: Taking taylor expansion of -1 in y 0.594 * [backup-simplify]: Simplify -1 into -1 0.594 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ y 1.0)) in y 0.594 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.594 * [taylor]: Taking taylor expansion of y in y 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 1 into 1 0.594 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.594 * [taylor]: Taking taylor expansion of y in y 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 1 into 1 0.594 * [taylor]: Taking taylor expansion of 1.0 in y 0.594 * [backup-simplify]: Simplify 1.0 into 1.0 0.594 * [backup-simplify]: Simplify (* 1 1) into 1 0.595 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.595 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 0.595 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.595 * [backup-simplify]: Simplify (- 0) into 0 0.595 * [backup-simplify]: Simplify (+ 0 0) into 0 0.596 * [backup-simplify]: Simplify (+ 0 0) into 0 0.596 * [backup-simplify]: Simplify (- (/ 0 (+ y 1.0)) (+ (* (* -1 (/ (pow y 2) (+ y 1.0))) (/ 0 (+ y 1.0))))) into 0 0.596 * [taylor]: Taking taylor expansion of 0 in y 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify (* 1 1) into 1 0.596 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.597 * [backup-simplify]: Simplify (- 0) into 0 0.597 * [backup-simplify]: Simplify (+ 1 0) into 1 0.597 * [backup-simplify]: Simplify (+ 0 0) into 0 0.597 * [backup-simplify]: Simplify (- (/ 1 (+ y 1.0)) (+ (* (* -1 (/ (pow y 2) (+ y 1.0))) (/ 0 (+ y 1.0))) (* 0 (/ 0 (+ y 1.0))))) into (/ 1 (+ y 1.0)) 0.597 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in y 0.597 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.597 * [taylor]: Taking taylor expansion of y in y 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 1 into 1 0.597 * [taylor]: Taking taylor expansion of 1.0 in y 0.597 * [backup-simplify]: Simplify 1.0 into 1.0 0.598 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.598 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 0.598 * [backup-simplify]: Simplify 1.0 into 1.0 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify (* -1 1.0) into -1.0 0.598 * [backup-simplify]: Simplify -1.0 into -1.0 0.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.599 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.599 * [backup-simplify]: Simplify (- 0) into 0 0.600 * [backup-simplify]: Simplify (+ 0 0) into 0 0.600 * [backup-simplify]: Simplify (+ 0 0) into 0 0.600 * [backup-simplify]: Simplify (- (/ 0 (+ y 1.0)) (+ (* (* -1 (/ (pow y 2) (+ y 1.0))) (/ 0 (+ y 1.0))) (* 0 (/ 0 (+ y 1.0))) (* (/ 1 (+ y 1.0)) (/ 0 (+ y 1.0))))) into 0 0.600 * [taylor]: Taking taylor expansion of 0 in y 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify (+ 1 0) into 1 0.602 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 1 1.0)))) into (- 1.0) 0.602 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.602 * [backup-simplify]: Simplify (+ (* (- 1.0) (* y (pow x 2))) (+ (* -1.0 (pow (* y 1) 2)) (* 1.0 (pow (* 1 x) 2)))) into (- (* 1.0 (pow x 2)) (+ (* 1.0 (* (pow x 2) y)) (* 1.0 (pow y 2)))) 0.603 * [backup-simplify]: Simplify (/ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (+ (/ 1 y) 1.0)) into (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) 1.0)) 0.603 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) 1.0)) in (x y) around 0 0.603 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) 1.0)) in y 0.603 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.603 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.603 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.603 * [taylor]: Taking taylor expansion of x in y 0.603 * [backup-simplify]: Simplify x into x 0.603 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.603 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.603 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.603 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.603 * [taylor]: Taking taylor expansion of y in y 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify 1 into 1 0.603 * [backup-simplify]: Simplify (* 1 1) into 1 0.603 * [backup-simplify]: Simplify (/ 1 1) into 1 0.603 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.603 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.603 * [taylor]: Taking taylor expansion of y in y 0.603 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify 1 into 1 0.604 * [backup-simplify]: Simplify (/ 1 1) into 1 0.604 * [taylor]: Taking taylor expansion of 1.0 in y 0.604 * [backup-simplify]: Simplify 1.0 into 1.0 0.604 * [backup-simplify]: Simplify (- 1) into -1 0.604 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.604 * [backup-simplify]: Simplify (+ 1 0) into 1 0.605 * [backup-simplify]: Simplify (/ -1 1) into -1 0.605 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) 1.0)) in x 0.605 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.605 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.605 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 1 into 1 0.605 * [backup-simplify]: Simplify (* 1 1) into 1 0.605 * [backup-simplify]: Simplify (/ 1 1) into 1 0.605 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.605 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.605 * [taylor]: Taking taylor expansion of y in x 0.605 * [backup-simplify]: Simplify y into y 0.605 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.605 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.605 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.605 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.605 * [taylor]: Taking taylor expansion of y in x 0.606 * [backup-simplify]: Simplify y into y 0.606 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.606 * [taylor]: Taking taylor expansion of 1.0 in x 0.606 * [backup-simplify]: Simplify 1.0 into 1.0 0.606 * [backup-simplify]: Simplify (+ 1 0) into 1 0.606 * [backup-simplify]: Simplify (+ (/ 1 y) 1.0) into (+ (/ 1 y) 1.0) 0.606 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 y) 1.0)) into (/ 1 (+ (/ 1 y) 1.0)) 0.606 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) 1.0)) in x 0.606 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.606 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.606 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.606 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify 1 into 1 0.606 * [backup-simplify]: Simplify (* 1 1) into 1 0.606 * [backup-simplify]: Simplify (/ 1 1) into 1 0.607 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.607 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.607 * [taylor]: Taking taylor expansion of y in x 0.607 * [backup-simplify]: Simplify y into y 0.607 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.607 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.607 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.607 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.607 * [taylor]: Taking taylor expansion of y in x 0.607 * [backup-simplify]: Simplify y into y 0.607 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.607 * [taylor]: Taking taylor expansion of 1.0 in x 0.607 * [backup-simplify]: Simplify 1.0 into 1.0 0.607 * [backup-simplify]: Simplify (+ 1 0) into 1 0.607 * [backup-simplify]: Simplify (+ (/ 1 y) 1.0) into (+ (/ 1 y) 1.0) 0.607 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 y) 1.0)) into (/ 1 (+ (/ 1 y) 1.0)) 0.607 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.607 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.607 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.607 * [taylor]: Taking taylor expansion of y in y 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify 1 into 1 0.608 * [backup-simplify]: Simplify (/ 1 1) into 1 0.608 * [taylor]: Taking taylor expansion of 1.0 in y 0.608 * [backup-simplify]: Simplify 1.0 into 1.0 0.608 * [backup-simplify]: Simplify (+ 1 0) into 1 0.608 * [backup-simplify]: Simplify (/ 1 1) into 1 0.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.609 * [backup-simplify]: Simplify (+ 0 0) into 0 0.609 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.609 * [backup-simplify]: Simplify (+ 0 0) into 0 0.609 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 y) 1.0)) (+ (* (/ 1 (+ (/ 1 y) 1.0)) (/ 0 (+ (/ 1 y) 1.0))))) into 0 0.609 * [taylor]: Taking taylor expansion of 0 in y 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.611 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.611 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.611 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.611 * [backup-simplify]: Simplify (+ 0 0) into 0 0.612 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) (+ (/ 1 y) 1.0)) (+ (* (/ 1 (+ (/ 1 y) 1.0)) (/ 0 (+ (/ 1 y) 1.0))) (* 0 (/ 0 (+ (/ 1 y) 1.0))))) into (- (/ 1 (* (+ (/ 1 y) 1.0) (pow y 2)))) 0.612 * [taylor]: Taking taylor expansion of (- (/ 1 (* (+ (/ 1 y) 1.0) (pow y 2)))) in y 0.612 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) (pow y 2))) in y 0.612 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) (pow y 2)) in y 0.612 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.612 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.612 * [taylor]: Taking taylor expansion of y in y 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 1 into 1 0.612 * [backup-simplify]: Simplify (/ 1 1) into 1 0.612 * [taylor]: Taking taylor expansion of 1.0 in y 0.612 * [backup-simplify]: Simplify 1.0 into 1.0 0.612 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.612 * [taylor]: Taking taylor expansion of y in y 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 1 into 1 0.612 * [backup-simplify]: Simplify (+ 1 0) into 1 0.612 * [backup-simplify]: Simplify (* 1 1) into 1 0.613 * [backup-simplify]: Simplify (* 1 1) into 1 0.613 * [backup-simplify]: Simplify (/ 1 1) into 1 0.613 * [backup-simplify]: Simplify (- 1) into -1 0.613 * [backup-simplify]: Simplify -1 into -1 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 1 into 1 0.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.614 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.615 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.615 * [backup-simplify]: Simplify (- 0) into 0 0.615 * [backup-simplify]: Simplify (+ 0 0) into 0 0.615 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.615 * [backup-simplify]: Simplify (+ 0 0) into 0 0.616 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 y) 1.0)) (+ (* (/ 1 (+ (/ 1 y) 1.0)) (/ 0 (+ (/ 1 y) 1.0))) (* 0 (/ 0 (+ (/ 1 y) 1.0))) (* (- (/ 1 (* (+ (/ 1 y) 1.0) (pow y 2)))) (/ 0 (+ (/ 1 y) 1.0))))) into 0 0.616 * [taylor]: Taking taylor expansion of 0 in y 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.617 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 1.0 1)) into 1.0 0.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1.0 1)))) into (- 1.0) 0.619 * [backup-simplify]: Simplify (- (- 1.0)) into 1.0 0.619 * [backup-simplify]: Simplify 1.0 into 1.0 0.620 * [backup-simplify]: Simplify (+ 1.0 (+ (* 1 (* (/ 1 y) (pow (/ 1 x) -2))) (* -1 (* (/ 1 (/ 1 y)) 1)))) into (- (+ (/ (pow x 2) y) 1.0) y) 0.620 * [backup-simplify]: Simplify (/ (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (+ (/ 1 (- y)) 1.0)) into (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- 1.0 (/ 1 y))) 0.620 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- 1.0 (/ 1 y))) in (x y) around 0 0.620 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- 1.0 (/ 1 y))) in y 0.620 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.620 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.620 * [taylor]: Taking taylor expansion of x in y 0.620 * [backup-simplify]: Simplify x into x 0.620 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.620 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.620 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.620 * [taylor]: Taking taylor expansion of y in y 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify 1 into 1 0.620 * [backup-simplify]: Simplify (* 1 1) into 1 0.621 * [backup-simplify]: Simplify (/ 1 1) into 1 0.621 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.621 * [taylor]: Taking taylor expansion of 1.0 in y 0.621 * [backup-simplify]: Simplify 1.0 into 1.0 0.621 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.621 * [taylor]: Taking taylor expansion of y in y 0.621 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify 1 into 1 0.621 * [backup-simplify]: Simplify (/ 1 1) into 1 0.621 * [backup-simplify]: Simplify (- 1) into -1 0.621 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.622 * [backup-simplify]: Simplify (- 1) into -1 0.622 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.622 * [backup-simplify]: Simplify (/ -1 -1) into 1 0.622 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- 1.0 (/ 1 y))) in x 0.622 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.622 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify 1 into 1 0.622 * [backup-simplify]: Simplify (* 1 1) into 1 0.623 * [backup-simplify]: Simplify (/ 1 1) into 1 0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.623 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.623 * [taylor]: Taking taylor expansion of y in x 0.623 * [backup-simplify]: Simplify y into y 0.623 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.623 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.623 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.623 * [taylor]: Taking taylor expansion of 1.0 in x 0.623 * [backup-simplify]: Simplify 1.0 into 1.0 0.623 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.623 * [taylor]: Taking taylor expansion of y in x 0.623 * [backup-simplify]: Simplify y into y 0.623 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.623 * [backup-simplify]: Simplify (+ 1 0) into 1 0.623 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.623 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 y))) into (- 1.0 (/ 1 y)) 0.623 * [backup-simplify]: Simplify (/ 1 (- 1.0 (/ 1 y))) into (/ 1 (- 1.0 (/ 1 y))) 0.623 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- 1.0 (/ 1 y))) in x 0.623 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.623 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify 1 into 1 0.624 * [backup-simplify]: Simplify (* 1 1) into 1 0.624 * [backup-simplify]: Simplify (/ 1 1) into 1 0.624 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.624 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.624 * [taylor]: Taking taylor expansion of y in x 0.624 * [backup-simplify]: Simplify y into y 0.624 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.624 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.624 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.624 * [taylor]: Taking taylor expansion of 1.0 in x 0.624 * [backup-simplify]: Simplify 1.0 into 1.0 0.624 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.624 * [taylor]: Taking taylor expansion of y in x 0.624 * [backup-simplify]: Simplify y into y 0.624 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.624 * [backup-simplify]: Simplify (+ 1 0) into 1 0.624 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.625 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 y))) into (- 1.0 (/ 1 y)) 0.625 * [backup-simplify]: Simplify (/ 1 (- 1.0 (/ 1 y))) into (/ 1 (- 1.0 (/ 1 y))) 0.625 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in y 0.625 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.625 * [taylor]: Taking taylor expansion of 1.0 in y 0.625 * [backup-simplify]: Simplify 1.0 into 1.0 0.625 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.625 * [taylor]: Taking taylor expansion of y in y 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 1 into 1 0.625 * [backup-simplify]: Simplify (/ 1 1) into 1 0.625 * [backup-simplify]: Simplify (- 1) into -1 0.625 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.626 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.627 * [backup-simplify]: Simplify (+ 0 0) into 0 0.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.627 * [backup-simplify]: Simplify (- 0) into 0 0.627 * [backup-simplify]: Simplify (+ 0 0) into 0 0.627 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (/ 1 y))) (+ (* (/ 1 (- 1.0 (/ 1 y))) (/ 0 (- 1.0 (/ 1 y)))))) into 0 0.627 * [taylor]: Taking taylor expansion of 0 in y 0.627 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.629 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.629 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.629 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.629 * [backup-simplify]: Simplify (- 0) into 0 0.629 * [backup-simplify]: Simplify (+ 0 0) into 0 0.630 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) (- 1.0 (/ 1 y))) (+ (* (/ 1 (- 1.0 (/ 1 y))) (/ 0 (- 1.0 (/ 1 y)))) (* 0 (/ 0 (- 1.0 (/ 1 y)))))) into (- (/ 1 (* (pow y 2) (- 1.0 (/ 1 y))))) 0.630 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow y 2) (- 1.0 (/ 1 y))))) in y 0.630 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (- 1.0 (/ 1 y)))) in y 0.630 * [taylor]: Taking taylor expansion of (* (pow y 2) (- 1.0 (/ 1 y))) in y 0.630 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.630 * [taylor]: Taking taylor expansion of y in y 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 1 into 1 0.630 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.630 * [taylor]: Taking taylor expansion of 1.0 in y 0.630 * [backup-simplify]: Simplify 1.0 into 1.0 0.630 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.630 * [taylor]: Taking taylor expansion of y in y 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 1 into 1 0.630 * [backup-simplify]: Simplify (/ 1 1) into 1 0.630 * [backup-simplify]: Simplify (* 1 1) into 1 0.630 * [backup-simplify]: Simplify (- 1) into -1 0.631 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.631 * [backup-simplify]: Simplify (* 1 -1) into -1 0.631 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.631 * [backup-simplify]: Simplify (- -1) into 1 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify -1 into -1 0.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.633 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.633 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.633 * [backup-simplify]: Simplify (- 0) into 0 0.633 * [backup-simplify]: Simplify (+ 0 0) into 0 0.633 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.634 * [backup-simplify]: Simplify (- 0) into 0 0.634 * [backup-simplify]: Simplify (+ 0 0) into 0 0.634 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (/ 1 y))) (+ (* (/ 1 (- 1.0 (/ 1 y))) (/ 0 (- 1.0 (/ 1 y)))) (* 0 (/ 0 (- 1.0 (/ 1 y)))) (* (- (/ 1 (* (pow y 2) (- 1.0 (/ 1 y))))) (/ 0 (- 1.0 (/ 1 y)))))) into 0 0.634 * [taylor]: Taking taylor expansion of 0 in y 0.634 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.635 * [backup-simplify]: Simplify (- 0) into 0 0.635 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.636 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 0 -1)) into 1.0 0.637 * [backup-simplify]: Simplify (- (+ (* -1 (/ 1.0 -1)))) into (- 1.0) 0.638 * [backup-simplify]: Simplify (- (- 1.0)) into 1.0 0.638 * [backup-simplify]: Simplify 1.0 into 1.0 0.638 * [backup-simplify]: Simplify (+ 1.0 (+ (* -1 (* (/ 1 (- y)) (pow (/ 1 (- x)) -2))) (* 1 (* (/ 1 (/ 1 (- y))) 1)))) into (- (+ (/ (pow x 2) y) 1.0) y) 0.638 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.638 * [backup-simplify]: Simplify (- (* x x) (* y y)) into (- (pow x 2) (pow y 2)) 0.638 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 0.638 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.638 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.638 * [taylor]: Taking taylor expansion of x in y 0.638 * [backup-simplify]: Simplify x into x 0.639 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.639 * [taylor]: Taking taylor expansion of y in y 0.639 * [backup-simplify]: Simplify 0 into 0 0.639 * [backup-simplify]: Simplify 1 into 1 0.639 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.639 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.639 * [backup-simplify]: Simplify 0 into 0 0.639 * [backup-simplify]: Simplify 1 into 1 0.639 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.639 * [taylor]: Taking taylor expansion of y in x 0.639 * [backup-simplify]: Simplify y into y 0.639 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.639 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.639 * [backup-simplify]: Simplify 0 into 0 0.639 * [backup-simplify]: Simplify 1 into 1 0.639 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.639 * [taylor]: Taking taylor expansion of y in x 0.639 * [backup-simplify]: Simplify y into y 0.639 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.639 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 0.639 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 0.639 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.639 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.639 * [taylor]: Taking taylor expansion of y in y 0.639 * [backup-simplify]: Simplify 0 into 0 0.639 * [backup-simplify]: Simplify 1 into 1 0.639 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.639 * [backup-simplify]: Simplify (- 0) into 0 0.640 * [backup-simplify]: Simplify (+ 0 0) into 0 0.640 * [taylor]: Taking taylor expansion of 0 in y 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify (* 1 1) into 1 0.640 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.640 * [backup-simplify]: Simplify (- 0) into 0 0.641 * [backup-simplify]: Simplify (+ 1 0) into 1 0.641 * [taylor]: Taking taylor expansion of 1 in y 0.641 * [backup-simplify]: Simplify 1 into 1 0.641 * [backup-simplify]: Simplify 1 into 1 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify (* 1 1) into 1 0.641 * [backup-simplify]: Simplify (- 1) into -1 0.641 * [backup-simplify]: Simplify -1 into -1 0.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.642 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.642 * [backup-simplify]: Simplify (- 0) into 0 0.642 * [backup-simplify]: Simplify (+ 0 0) into 0 0.642 * [taylor]: Taking taylor expansion of 0 in y 0.642 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify 0 into 0 0.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.643 * [backup-simplify]: Simplify (- 0) into 0 0.643 * [backup-simplify]: Simplify 0 into 0 0.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.644 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.644 * [backup-simplify]: Simplify (- 0) into 0 0.645 * [backup-simplify]: Simplify (+ 0 0) into 0 0.645 * [taylor]: Taking taylor expansion of 0 in y 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 0.645 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.645 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.645 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.645 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.645 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.645 * [taylor]: Taking taylor expansion of x in y 0.645 * [backup-simplify]: Simplify x into x 0.645 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.645 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.645 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.645 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.645 * [taylor]: Taking taylor expansion of y in y 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify 1 into 1 0.646 * [backup-simplify]: Simplify (* 1 1) into 1 0.646 * [backup-simplify]: Simplify (/ 1 1) into 1 0.646 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.646 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.646 * [backup-simplify]: Simplify 0 into 0 0.646 * [backup-simplify]: Simplify 1 into 1 0.646 * [backup-simplify]: Simplify (* 1 1) into 1 0.646 * [backup-simplify]: Simplify (/ 1 1) into 1 0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.646 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.646 * [taylor]: Taking taylor expansion of y in x 0.646 * [backup-simplify]: Simplify y into y 0.646 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.647 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.647 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.647 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify 1 into 1 0.647 * [backup-simplify]: Simplify (* 1 1) into 1 0.647 * [backup-simplify]: Simplify (/ 1 1) into 1 0.647 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.647 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.647 * [taylor]: Taking taylor expansion of y in x 0.647 * [backup-simplify]: Simplify y into y 0.647 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.647 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.648 * [backup-simplify]: Simplify (+ 1 0) into 1 0.648 * [taylor]: Taking taylor expansion of 1 in y 0.648 * [backup-simplify]: Simplify 1 into 1 0.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.649 * [backup-simplify]: Simplify (+ 0 0) into 0 0.649 * [taylor]: Taking taylor expansion of 0 in y 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.650 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.650 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.650 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.650 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.650 * [taylor]: Taking taylor expansion of y in y 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 1 into 1 0.650 * [backup-simplify]: Simplify (* 1 1) into 1 0.650 * [backup-simplify]: Simplify (/ 1 1) into 1 0.651 * [backup-simplify]: Simplify (- 1) into -1 0.651 * [backup-simplify]: Simplify -1 into -1 0.651 * [backup-simplify]: Simplify 1 into 1 0.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.652 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.652 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.652 * [backup-simplify]: Simplify (- 0) into 0 0.652 * [backup-simplify]: Simplify (+ 0 0) into 0 0.652 * [taylor]: Taking taylor expansion of 0 in y 0.652 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.653 * [backup-simplify]: Simplify (- 0) into 0 0.653 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.655 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.655 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.655 * [backup-simplify]: Simplify (- 0) into 0 0.655 * [backup-simplify]: Simplify (+ 0 0) into 0 0.655 * [taylor]: Taking taylor expansion of 0 in y 0.655 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.657 * [backup-simplify]: Simplify (- 0) into 0 0.657 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 0.657 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.657 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.657 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.657 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.657 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.657 * [taylor]: Taking taylor expansion of x in y 0.657 * [backup-simplify]: Simplify x into x 0.657 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.657 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.657 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.657 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.657 * [taylor]: Taking taylor expansion of y in y 0.657 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify 1 into 1 0.658 * [backup-simplify]: Simplify (* 1 1) into 1 0.658 * [backup-simplify]: Simplify (/ 1 1) into 1 0.658 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.658 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.658 * [taylor]: Taking taylor expansion of x in x 0.658 * [backup-simplify]: Simplify 0 into 0 0.658 * [backup-simplify]: Simplify 1 into 1 0.658 * [backup-simplify]: Simplify (* 1 1) into 1 0.658 * [backup-simplify]: Simplify (/ 1 1) into 1 0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.658 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.659 * [taylor]: Taking taylor expansion of y in x 0.659 * [backup-simplify]: Simplify y into y 0.659 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.659 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.659 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.659 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [backup-simplify]: Simplify 0 into 0 0.659 * [backup-simplify]: Simplify 1 into 1 0.659 * [backup-simplify]: Simplify (* 1 1) into 1 0.659 * [backup-simplify]: Simplify (/ 1 1) into 1 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.659 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.659 * [taylor]: Taking taylor expansion of y in x 0.659 * [backup-simplify]: Simplify y into y 0.659 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.659 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.660 * [backup-simplify]: Simplify (+ 1 0) into 1 0.660 * [taylor]: Taking taylor expansion of 1 in y 0.660 * [backup-simplify]: Simplify 1 into 1 0.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.661 * [backup-simplify]: Simplify (+ 0 0) into 0 0.661 * [taylor]: Taking taylor expansion of 0 in y 0.661 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.662 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.662 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.662 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.662 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.662 * [taylor]: Taking taylor expansion of y in y 0.662 * [backup-simplify]: Simplify 0 into 0 0.662 * [backup-simplify]: Simplify 1 into 1 0.663 * [backup-simplify]: Simplify (* 1 1) into 1 0.663 * [backup-simplify]: Simplify (/ 1 1) into 1 0.663 * [backup-simplify]: Simplify (- 1) into -1 0.663 * [backup-simplify]: Simplify -1 into -1 0.663 * [backup-simplify]: Simplify 1 into 1 0.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.664 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.665 * [backup-simplify]: Simplify (- 0) into 0 0.665 * [backup-simplify]: Simplify (+ 0 0) into 0 0.665 * [taylor]: Taking taylor expansion of 0 in y 0.665 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.666 * [backup-simplify]: Simplify (- 0) into 0 0.666 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.667 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.667 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.668 * [backup-simplify]: Simplify (- 0) into 0 0.668 * [backup-simplify]: Simplify (+ 0 0) into 0 0.668 * [taylor]: Taking taylor expansion of 0 in y 0.668 * [backup-simplify]: Simplify 0 into 0 0.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.669 * [backup-simplify]: Simplify (- 0) into 0 0.669 * [backup-simplify]: 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h1) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) 0.688 * * [simplify]: iteration 0 : 832 enodes (cost 2665 ) 0.702 * * [simplify]: iteration 1 : 3641 enodes (cost 2497 ) 0.751 * * [simplify]: iteration 2 : 5003 enodes (cost 2479 ) 0.762 * * * [progress]: adding candidates to table 1.140 * [progress]: [Phase 3 of 3] Extracting. 1.140 * * [regime]: Finding splitpoints for: (# # #) 1.141 * * * [regime-changes]: Trying 3 branch expressions: ((/ (+ x y) (+ y 1.0)) y x) 1.141 * * * * [regimes]: Trying to branch on (/ (+ x y) (+ y 1.0)) from (# # #) 1.152 * * * * [regimes]: Trying to branch on y from (# # #) 1.164 * * * * [regimes]: Trying to branch on x from (# # #) 1.179 * * * [regime]: Found split indices: #