8.771 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying: (/ x (+ x y)) 0.012 * [simplify]: Sending expressions to egg_math: (/ h0 (+ h0 h1)) 0.014 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.016 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.016 * * [progress]: iteration 1 / 4 0.016 * * * [progress]: picking best candidate 0.017 * * * * [pick]: Picked # 0.017 * * * [progress]: localizing error 0.020 * * * [progress]: generating rewritten candidates 0.020 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.032 * * * [progress]: generating series expansions 0.032 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.033 * [backup-simplify]: Simplify (/ x (+ x y)) into (/ x (+ x y)) 0.033 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.033 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.033 * [taylor]: Taking taylor expansion of x in y 0.033 * [backup-simplify]: Simplify x into x 0.033 * [taylor]: Taking taylor expansion of (+ x y) in y 0.033 * [taylor]: Taking taylor expansion of x in y 0.033 * [backup-simplify]: Simplify x into x 0.033 * [taylor]: Taking taylor expansion of y in y 0.033 * [backup-simplify]: Simplify 0 into 0 0.033 * [backup-simplify]: Simplify 1 into 1 0.033 * [backup-simplify]: Simplify (+ x 0) into x 0.033 * [backup-simplify]: Simplify (/ x x) into 1 0.033 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [backup-simplify]: Simplify 0 into 0 0.033 * [backup-simplify]: Simplify 1 into 1 0.033 * [taylor]: Taking taylor expansion of (+ x y) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [backup-simplify]: Simplify 0 into 0 0.033 * [backup-simplify]: Simplify 1 into 1 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [backup-simplify]: Simplify y into y 0.033 * [backup-simplify]: Simplify (+ 0 y) into y 0.033 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.033 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [backup-simplify]: Simplify 0 into 0 0.033 * [backup-simplify]: Simplify 1 into 1 0.033 * [taylor]: Taking taylor expansion of (+ x y) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [backup-simplify]: Simplify 0 into 0 0.033 * [backup-simplify]: Simplify 1 into 1 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [backup-simplify]: Simplify y into y 0.033 * [backup-simplify]: Simplify (+ 0 y) into y 0.033 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.033 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.033 * [backup-simplify]: Simplify 0 into 0 0.033 * [backup-simplify]: Simplify 1 into 1 0.034 * [backup-simplify]: Simplify (/ 1 1) into 1 0.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.034 * [backup-simplify]: Simplify 0 into 0 0.034 * [backup-simplify]: Simplify (+ 1 0) into 1 0.035 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.035 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.035 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.035 * [backup-simplify]: Simplify 0 into 0 0.035 * [backup-simplify]: Simplify 1 into 1 0.035 * [backup-simplify]: Simplify (* 1 1) into 1 0.035 * [backup-simplify]: Simplify (/ 1 1) into 1 0.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.037 * [backup-simplify]: Simplify (- 0) into 0 0.037 * [backup-simplify]: Simplify 0 into 0 0.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.038 * [backup-simplify]: Simplify 0 into 0 0.038 * [backup-simplify]: Simplify (+ 0 0) into 0 0.038 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.038 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [backup-simplify]: Simplify 0 into 0 0.038 * [backup-simplify]: Simplify 1 into 1 0.038 * [backup-simplify]: Simplify (* 1 1) into 1 0.039 * [backup-simplify]: Simplify (* 1 1) into 1 0.039 * [backup-simplify]: Simplify (/ 1 1) into 1 0.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.043 * [backup-simplify]: Simplify 0 into 0 0.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.044 * [backup-simplify]: Simplify (- 0) into 0 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify (/ (/ 1 x) (+ (/ 1 x) (/ 1 y))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.045 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.045 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.045 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [backup-simplify]: Simplify x into x 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.045 * [backup-simplify]: Simplify (/ 1 1) into 1 0.045 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [backup-simplify]: Simplify x into x 0.045 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.045 * [backup-simplify]: Simplify (+ 1 0) into 1 0.045 * [backup-simplify]: Simplify (* x 1) into x 0.045 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.045 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.045 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.046 * [backup-simplify]: Simplify y into y 0.046 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 1 into 1 0.046 * [backup-simplify]: Simplify (/ 1 1) into 1 0.046 * [backup-simplify]: Simplify (+ 0 1) into 1 0.046 * [backup-simplify]: Simplify (* 0 1) into 0 0.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.047 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.047 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.047 * [backup-simplify]: Simplify (/ 1 1) into 1 0.047 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.047 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) 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 (+ (/ 1 y) (/ 1 x)) in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [backup-simplify]: Simplify y into y 0.047 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) 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 0.048 * [backup-simplify]: Simplify (/ 1 1) into 1 0.048 * [backup-simplify]: Simplify (+ 0 1) into 1 0.048 * [backup-simplify]: Simplify (* 0 1) into 0 0.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.049 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.049 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.049 * [backup-simplify]: Simplify (/ 1 1) into 1 0.049 * [taylor]: Taking taylor expansion of 1 in y 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.050 * [backup-simplify]: Simplify (+ 0 0) into 0 0.050 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.051 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify (/ 1 1) into 1 0.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.052 * [backup-simplify]: Simplify (- 0) into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.053 * [backup-simplify]: Simplify (+ 0 0) into 0 0.053 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.054 * [taylor]: Taking taylor expansion of y in y 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.058 * [backup-simplify]: Simplify (- 0) into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.058 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.058 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.058 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [backup-simplify]: Simplify x into x 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in y 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 1) into 1 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [backup-simplify]: Simplify x into x 0.058 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.059 * [backup-simplify]: Simplify (+ 1 0) into 1 0.059 * [backup-simplify]: Simplify (* x 1) into x 0.059 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.059 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.059 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 1 into 1 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [backup-simplify]: Simplify y into y 0.059 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 1 into 1 0.059 * [backup-simplify]: Simplify (/ 1 1) into 1 0.059 * [backup-simplify]: Simplify (+ 0 1) into 1 0.060 * [backup-simplify]: Simplify (* 0 1) into 0 0.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.060 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.060 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.061 * [backup-simplify]: Simplify (/ 1 1) into 1 0.061 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.061 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [backup-simplify]: Simplify y into y 0.061 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [backup-simplify]: Simplify (/ 1 1) into 1 0.061 * [backup-simplify]: Simplify (+ 0 1) into 1 0.061 * [backup-simplify]: Simplify (* 0 1) into 0 0.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.062 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.063 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.063 * [backup-simplify]: Simplify (/ 1 1) into 1 0.063 * [taylor]: Taking taylor expansion of 1 in y 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.064 * [backup-simplify]: Simplify (+ 0 0) into 0 0.064 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.064 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 1 into 1 0.065 * [backup-simplify]: Simplify (/ 1 1) into 1 0.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.066 * [backup-simplify]: Simplify (- 0) into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.067 * [backup-simplify]: Simplify (+ 0 0) into 0 0.067 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.068 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.068 * [backup-simplify]: Simplify (* 1 1) into 1 0.068 * [backup-simplify]: Simplify (/ 1 1) into 1 0.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.071 * [backup-simplify]: Simplify (- 0) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * * * [progress]: simplifying candidates 0.072 * [simplify]: Simplifying: (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (- (log x) (log (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (/ (* (* x x) x) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (- x) (- (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (/ 1 1) (/ x (+ x y)) (/ 1 1) (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) (/ x 1) (/ x 1) (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0.072 * [simplify]: Sending expressions to egg_math: (expm1 (/ h0 (+ h0 h1))) (log1p (/ h0 (+ h0 h1))) (- (log h0) (log (+ h0 h1))) (log (/ h0 (+ h0 h1))) (exp (/ h0 (+ h0 h1))) (/ (* (* h0 h0) h0) (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1))) (* (cbrt (/ h0 (+ h0 h1))) (cbrt (/ h0 (+ h0 h1)))) (cbrt (/ h0 (+ h0 h1))) (* (* (/ h0 (+ h0 h1)) (/ h0 (+ h0 h1))) (/ h0 (+ h0 h1))) (sqrt (/ h0 (+ h0 h1))) (sqrt (/ h0 (+ h0 h1))) (- h0) (- (+ h0 h1)) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (cbrt h0) (cbrt (+ h0 h1))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (+ h0 h1))) (/ (cbrt h0) (sqrt (+ h0 h1))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ h0 h1)) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ h0 h1)) (/ (sqrt h0) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (sqrt h0) (cbrt (+ h0 h1))) (/ (sqrt h0) (sqrt (+ h0 h1))) (/ (sqrt h0) (sqrt (+ h0 h1))) (/ (sqrt h0) 1) (/ (sqrt h0) (+ h0 h1)) (/ (sqrt h0) 1) (/ (sqrt h0) (+ h0 h1)) (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ h0 (cbrt (+ h0 h1))) (/ 1 (sqrt (+ h0 h1))) (/ h0 (sqrt (+ h0 h1))) (/ 1 1) (/ h0 (+ h0 h1)) (/ 1 1) (/ h0 (+ h0 h1)) (/ 1 (+ h0 h1)) (/ (+ h0 h1) h0) (/ h0 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ h0 (sqrt (+ h0 h1))) (/ h0 1) (/ h0 1) (/ (+ h0 h1) (cbrt h0)) (/ (+ h0 h1) (sqrt h0)) (/ (+ h0 h1) h0) (/ h0 (+ (pow h0 3) (pow h1 3))) (/ h0 (- (* h0 h0) (* h1 h1))) 0 0 0 0.079 * * [simplify]: iteration 0 : 121 enodes (cost 159 ) 0.082 * * [simplify]: iteration 1 : 393 enodes (cost 150 ) 0.088 * * [simplify]: iteration 2 : 1065 enodes (cost 150 ) 0.105 * * [simplify]: iteration 3 : 3830 enodes (cost 150 ) 0.153 * * [simplify]: iteration 4 : 5002 enodes (cost 150 ) 0.155 * * * [progress]: adding candidates to table 0.210 * * [progress]: iteration 2 / 4 0.210 * * * [progress]: picking best candidate 0.213 * * * * [pick]: Picked # 0.213 * * * [progress]: localizing error 0.217 * * * [progress]: generating rewritten candidates 0.217 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.245 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.262 * * * [progress]: generating series expansions 0.262 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.262 * [backup-simplify]: Simplify (* x (/ 1 (+ x y))) into (/ x (+ x y)) 0.262 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.262 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.262 * [taylor]: Taking taylor expansion of x in y 0.262 * [backup-simplify]: Simplify x into x 0.262 * [taylor]: Taking taylor expansion of (+ x y) in y 0.262 * [taylor]: Taking taylor expansion of x in y 0.262 * [backup-simplify]: Simplify x into x 0.262 * [taylor]: Taking taylor expansion of y in y 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (+ x 0) into x 0.262 * [backup-simplify]: Simplify (/ x x) into 1 0.262 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [taylor]: Taking taylor expansion of (+ x y) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [taylor]: Taking taylor expansion of y in x 0.263 * [backup-simplify]: Simplify y into y 0.263 * [backup-simplify]: Simplify (+ 0 y) into y 0.263 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.263 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [taylor]: Taking taylor expansion of (+ x y) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [taylor]: Taking taylor expansion of y in x 0.263 * [backup-simplify]: Simplify y into y 0.263 * [backup-simplify]: Simplify (+ 0 y) into y 0.263 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.263 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (/ 1 1) into 1 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify (+ 1 0) into 1 0.264 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.264 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.264 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (* 1 1) into 1 0.265 * [backup-simplify]: Simplify (/ 1 1) into 1 0.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (- 0) into 0 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.268 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (* 1 1) into 1 0.268 * [backup-simplify]: Simplify (* 1 1) into 1 0.268 * [backup-simplify]: Simplify (/ 1 1) into 1 0.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (- 0) into 0 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 (+ (/ 1 x) (/ 1 y)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.274 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.275 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.275 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.275 * [taylor]: Taking taylor expansion of x in y 0.275 * [backup-simplify]: Simplify x into x 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 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 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.275 * [taylor]: Taking taylor expansion of x in y 0.275 * [backup-simplify]: Simplify x into x 0.275 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.275 * [backup-simplify]: Simplify (+ 1 0) into 1 0.275 * [backup-simplify]: Simplify (* x 1) into x 0.275 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.275 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.275 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.275 * [taylor]: Taking taylor expansion of y in x 0.275 * [backup-simplify]: Simplify y into y 0.275 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify (/ 1 1) into 1 0.276 * [backup-simplify]: Simplify (+ 0 1) into 1 0.276 * [backup-simplify]: Simplify (* 0 1) into 0 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.277 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.277 * [backup-simplify]: Simplify (/ 1 1) into 1 0.277 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.277 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.277 * [backup-simplify]: Simplify y into y 0.277 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (/ 1 1) into 1 0.278 * [backup-simplify]: Simplify (+ 0 1) into 1 0.278 * [backup-simplify]: Simplify (* 0 1) into 0 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.279 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.279 * [backup-simplify]: Simplify (/ 1 1) into 1 0.279 * [taylor]: Taking taylor expansion of 1 in y 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.280 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify (/ 1 1) into 1 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (- 0) into 0 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.284 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (* 1 1) into 1 0.284 * [backup-simplify]: Simplify (/ 1 1) into 1 0.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (- 0) into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify (* (/ 1 (- x)) (/ 1 (+ (/ 1 (- x)) (/ 1 (- y))))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.288 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.288 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.288 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.288 * [taylor]: Taking taylor expansion of x in y 0.288 * [backup-simplify]: Simplify x into x 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (/ 1 1) into 1 0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.288 * [taylor]: Taking taylor expansion of x in y 0.288 * [backup-simplify]: Simplify x into x 0.288 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.289 * [backup-simplify]: Simplify (+ 1 0) into 1 0.289 * [backup-simplify]: Simplify (* x 1) into x 0.289 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.289 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.289 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.289 * [taylor]: Taking taylor expansion of y in x 0.289 * [backup-simplify]: Simplify y into y 0.289 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify (/ 1 1) into 1 0.289 * [backup-simplify]: Simplify (+ 0 1) into 1 0.290 * [backup-simplify]: Simplify (* 0 1) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.290 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.290 * [backup-simplify]: Simplify (/ 1 1) into 1 0.290 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.290 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.291 * [taylor]: Taking taylor expansion of y in x 0.291 * [backup-simplify]: Simplify y into y 0.291 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.291 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (/ 1 1) into 1 0.291 * [backup-simplify]: Simplify (+ 0 1) into 1 0.291 * [backup-simplify]: Simplify (* 0 1) into 0 0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.292 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.292 * [backup-simplify]: Simplify (/ 1 1) into 1 0.292 * [taylor]: Taking taylor expansion of 1 in y 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (+ 0 0) into 0 0.294 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.294 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.294 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (/ 1 1) into 1 0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (- 0) into 0 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.297 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.297 * [taylor]: Taking taylor expansion of y in y 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify (* 1 1) into 1 0.298 * [backup-simplify]: Simplify (/ 1 1) into 1 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.300 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (- 0) into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.301 * [backup-simplify]: Simplify (/ 1 (+ x y)) into (/ 1 (+ x y)) 0.301 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (x y) around 0 0.301 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.301 * [taylor]: Taking taylor expansion of (+ x y) in y 0.301 * [taylor]: Taking taylor expansion of x in y 0.301 * [backup-simplify]: Simplify x into x 0.301 * [taylor]: Taking taylor expansion of y in y 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [backup-simplify]: Simplify (+ x 0) into x 0.301 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.301 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.301 * [taylor]: Taking taylor expansion of (+ x y) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [taylor]: Taking taylor expansion of y in x 0.301 * [backup-simplify]: Simplify y into y 0.301 * [backup-simplify]: Simplify (+ 0 y) into y 0.301 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.301 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.301 * [taylor]: Taking taylor expansion of (+ x y) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [taylor]: Taking taylor expansion of y in x 0.302 * [backup-simplify]: Simplify y into y 0.302 * [backup-simplify]: Simplify (+ 0 y) into y 0.302 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.302 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.302 * [taylor]: Taking taylor expansion of y in y 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (/ 1 1) into 1 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify (+ 1 0) into 1 0.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.303 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.303 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (* 1 1) into 1 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (- 0) into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.306 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.306 * [taylor]: Taking taylor expansion of y in y 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (* 1 1) into 1 0.307 * [backup-simplify]: Simplify (* 1 1) into 1 0.307 * [backup-simplify]: Simplify (/ 1 1) into 1 0.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (- 0) into 0 0.312 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 x) (/ 1 y))) into (/ 1 (+ (/ 1 y) (/ 1 x))) 0.313 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.313 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.313 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (/ 1 1) into 1 0.313 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.313 * [taylor]: Taking taylor expansion of x in y 0.313 * [backup-simplify]: Simplify x into x 0.313 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.313 * [backup-simplify]: Simplify (+ 1 0) into 1 0.314 * [backup-simplify]: Simplify (/ 1 1) into 1 0.314 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.314 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.314 * [taylor]: Taking taylor expansion of y in x 0.314 * [backup-simplify]: Simplify y into y 0.314 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.314 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [backup-simplify]: Simplify (/ 1 1) into 1 0.314 * [backup-simplify]: Simplify (+ 0 1) into 1 0.314 * [backup-simplify]: Simplify (/ 1 1) into 1 0.315 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.315 * [taylor]: Taking taylor expansion of y in x 0.315 * [backup-simplify]: Simplify y into y 0.315 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.315 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (/ 1 1) into 1 0.315 * [backup-simplify]: Simplify (+ 0 1) into 1 0.315 * [backup-simplify]: Simplify (/ 1 1) into 1 0.315 * [taylor]: Taking taylor expansion of 1 in y 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.316 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.316 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.316 * [taylor]: Taking taylor expansion of y in y 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (/ 1 1) into 1 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (- 0) into 0 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.319 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (* 1 1) into 1 0.319 * [backup-simplify]: Simplify (/ 1 1) into 1 0.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (- 0) into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ -1 (+ (/ 1 y) (/ 1 x))) 0.323 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.323 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.323 * [taylor]: Taking taylor expansion of -1 in y 0.323 * [backup-simplify]: Simplify -1 into -1 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.323 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.323 * [taylor]: Taking taylor expansion of y in y 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify (/ 1 1) into 1 0.323 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.323 * [taylor]: Taking taylor expansion of x in y 0.323 * [backup-simplify]: Simplify x into x 0.323 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.323 * [backup-simplify]: Simplify (+ 1 0) into 1 0.324 * [backup-simplify]: Simplify (/ -1 1) into -1 0.324 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.324 * [taylor]: Taking taylor expansion of -1 in x 0.324 * [backup-simplify]: Simplify -1 into -1 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.324 * [taylor]: Taking taylor expansion of y in x 0.324 * [backup-simplify]: Simplify y into y 0.324 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (/ 1 1) into 1 0.324 * [backup-simplify]: Simplify (+ 0 1) into 1 0.325 * [backup-simplify]: Simplify (/ -1 1) into -1 0.325 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.325 * [taylor]: Taking taylor expansion of -1 in x 0.325 * [backup-simplify]: Simplify -1 into -1 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [backup-simplify]: Simplify y into y 0.325 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (/ 1 1) into 1 0.325 * [backup-simplify]: Simplify (+ 0 1) into 1 0.326 * [backup-simplify]: Simplify (/ -1 1) into -1 0.326 * [taylor]: Taking taylor expansion of -1 in y 0.326 * [backup-simplify]: Simplify -1 into -1 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (/ 1 y) 1)))) into (/ 1 y) 0.326 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.326 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (/ 1 1) into 1 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (/ 1 y) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 2))) 0.329 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (* 1 1) into 1 0.330 * [backup-simplify]: Simplify (/ 1 1) into 1 0.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (- 0) into 0 0.332 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * * * [progress]: simplifying candidates 0.334 * [simplify]: Simplifying: (expm1 (* x (/ 1 (+ x y)))) (log1p (* x (/ 1 (+ x y)))) (* x (/ 1 (+ x y))) (+ (log x) (- (log (+ x y)))) (+ (log x) (- 0 (log (+ x y)))) (+ (log x) (- (log 1) (log (+ x y)))) (+ (log x) (log (/ 1 (+ x y)))) (log (* x (/ 1 (+ x y)))) (exp (* x (/ 1 (+ x y)))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (+ x y) (+ x y)) (+ x y)))) (* (* (* x x) x) (* (* (/ 1 (+ x y)) (/ 1 (+ x y))) (/ 1 (+ x y)))) (* (cbrt (* x (/ 1 (+ x y)))) (cbrt (* x (/ 1 (+ x y))))) (cbrt (* x (/ 1 (+ x y)))) (* (* (* x (/ 1 (+ x y))) (* x (/ 1 (+ x y)))) (* x (/ 1 (+ x y)))) (sqrt (* x (/ 1 (+ x y)))) (sqrt (* x (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ x y)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ x y)))) (* (sqrt x) (/ 1 (sqrt (+ x y)))) (* (sqrt x) (/ 1 (sqrt (+ x y)))) (* x (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y))))) (* x (sqrt (/ 1 (+ x y)))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ x y)))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (sqrt 1) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* x (/ (sqrt 1) (sqrt (+ x y)))) (* x (/ (sqrt 1) 1)) (* x (/ (sqrt 1) 1)) (* x (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y))))) (* x (/ 1 (sqrt (+ x y)))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x 1) (* x (/ 1 (+ (pow x 3) (pow y 3)))) (* x (/ 1 (- (* x x) (* y y)))) (* (cbrt x) (/ 1 (+ x y))) (* (sqrt x) (/ 1 (+ x y))) (* x (/ 1 (+ x y))) (* x 1) (expm1 (/ 1 (+ x y))) (log1p (/ 1 (+ x y))) (- 1) (- (log (+ x y))) (- 0 (log (+ x y))) (- (log 1) (log (+ x y))) (log (/ 1 (+ x y))) (exp (/ 1 (+ x y))) (/ (* (* 1 1) 1) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y)))) (cbrt (/ 1 (+ x y))) (* (* (/ 1 (+ x y)) (/ 1 (+ x y))) (/ 1 (+ x y))) (sqrt (/ 1 (+ x y))) (sqrt (/ 1 (+ x y))) (- 1) (- (+ x y)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt 1) (cbrt (+ x y))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ x y))) (/ (cbrt 1) (sqrt (+ x y))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ x y)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ x y)) (/ (sqrt 1) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt 1) (cbrt (+ x y))) (/ (sqrt 1) (sqrt (+ x y))) (/ (sqrt 1) (sqrt (+ x y))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ x y)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 1) (/ 1 (+ x y)) (/ 1 1) (/ 1 (+ x y)) (/ 1 (+ x y)) (/ (+ x y) 1) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (sqrt (+ x y))) (/ 1 1) (/ 1 1) (/ (+ x y) (cbrt 1)) (/ (+ x y) (sqrt 1)) (/ (+ x y) 1) (/ 1 (+ (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) 0 0 0 0 0 0 0.334 * [simplify]: Sending expressions to egg_math: (expm1 (* h0 (/ 1 (+ h0 h1)))) (log1p (* h0 (/ 1 (+ h0 h1)))) (* h0 (/ 1 (+ h0 h1))) (+ (log h0) (- (log (+ h0 h1)))) (+ (log h0) (- 0 (log (+ h0 h1)))) (+ (log h0) (- (log 1) (log (+ h0 h1)))) (+ (log h0) (log (/ 1 (+ h0 h1)))) (log (* h0 (/ 1 (+ h0 h1)))) (exp (* h0 (/ 1 (+ h0 h1)))) (* (* (* h0 h0) h0) (/ (* (* 1 1) 1) (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)))) (* (* (* h0 h0) h0) (* (* (/ 1 (+ h0 h1)) (/ 1 (+ h0 h1))) (/ 1 (+ h0 h1)))) (* (cbrt (* h0 (/ 1 (+ h0 h1)))) (cbrt (* h0 (/ 1 (+ h0 h1))))) (cbrt (* h0 (/ 1 (+ h0 h1)))) (* (* (* h0 (/ 1 (+ h0 h1))) (* h0 (/ 1 (+ h0 h1)))) (* h0 (/ 1 (+ h0 h1)))) (sqrt (* h0 (/ 1 (+ h0 h1)))) (sqrt (* h0 (/ 1 (+ h0 h1)))) (* (sqrt h0) (sqrt (/ 1 (+ h0 h1)))) (* (sqrt h0) (sqrt (/ 1 (+ h0 h1)))) (* (sqrt h0) (/ (sqrt 1) (sqrt (+ h0 h1)))) (* (sqrt h0) (/ (sqrt 1) (sqrt (+ h0 h1)))) (* (sqrt h0) (/ 1 (sqrt (+ h0 h1)))) (* (sqrt h0) (/ 1 (sqrt (+ h0 h1)))) (* h0 (* (cbrt (/ 1 (+ h0 h1))) (cbrt (/ 1 (+ h0 h1))))) (* h0 (sqrt (/ 1 (+ h0 h1)))) (* h0 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (* h0 (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ h0 h1)))) (* h0 (/ (* (cbrt 1) (cbrt 1)) 1)) (* h0 (/ (* (cbrt 1) (cbrt 1)) 1)) (* h0 (/ (sqrt 1) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (* h0 (/ (sqrt 1) (sqrt (+ h0 h1)))) (* h0 (/ (sqrt 1) 1)) (* h0 (/ (sqrt 1) 1)) (* h0 (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (* h0 (/ 1 (sqrt (+ h0 h1)))) (* h0 (/ 1 1)) (* h0 (/ 1 1)) (* h0 1) (* h0 1) (* h0 (/ 1 (+ (pow h0 3) (pow h1 3)))) (* h0 (/ 1 (- (* h0 h0) (* h1 h1)))) (* (cbrt h0) (/ 1 (+ h0 h1))) (* (sqrt h0) (/ 1 (+ h0 h1))) (* h0 (/ 1 (+ h0 h1))) (* h0 1) (expm1 (/ 1 (+ h0 h1))) (log1p (/ 1 (+ h0 h1))) (- 1) (- (log (+ h0 h1))) (- 0 (log (+ h0 h1))) (- (log 1) (log (+ h0 h1))) (log (/ 1 (+ h0 h1))) (exp (/ 1 (+ h0 h1))) (/ (* (* 1 1) 1) (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1))) (* (cbrt (/ 1 (+ h0 h1))) (cbrt (/ 1 (+ h0 h1)))) (cbrt (/ 1 (+ h0 h1))) (* (* (/ 1 (+ h0 h1)) (/ 1 (+ h0 h1))) (/ 1 (+ h0 h1))) (sqrt (/ 1 (+ h0 h1))) (sqrt (/ 1 (+ h0 h1))) (- 1) (- (+ h0 h1)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (cbrt 1) (cbrt (+ h0 h1))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ h0 h1))) (/ (cbrt 1) (sqrt (+ h0 h1))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ h0 h1)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ h0 h1)) (/ (sqrt 1) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (sqrt 1) (cbrt (+ h0 h1))) (/ (sqrt 1) (sqrt (+ h0 h1))) (/ (sqrt 1) (sqrt (+ h0 h1))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ h0 h1)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ h0 h1)) (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ 1 (cbrt (+ h0 h1))) (/ 1 (sqrt (+ h0 h1))) (/ 1 (sqrt (+ h0 h1))) (/ 1 1) (/ 1 (+ h0 h1)) (/ 1 1) (/ 1 (+ h0 h1)) (/ 1 (+ h0 h1)) (/ (+ h0 h1) 1) (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ 1 (sqrt (+ h0 h1))) (/ 1 1) (/ 1 1) (/ (+ h0 h1) (cbrt 1)) (/ (+ h0 h1) (sqrt 1)) (/ (+ h0 h1) 1) (/ 1 (+ (pow h0 3) (pow h1 3))) (/ 1 (- (* h0 h0) (* h1 h1))) 0 0 0 0 0 0 0.338 * * [simplify]: iteration 0 : 231 enodes (cost 360 ) 0.343 * * [simplify]: iteration 1 : 1017 enodes (cost 310 ) 0.359 * * [simplify]: iteration 2 : 3519 enodes (cost 272 ) 0.388 * * [simplify]: iteration 3 : 5001 enodes (cost 272 ) 0.390 * * * [progress]: adding candidates to table 0.501 * * [progress]: iteration 3 / 4 0.501 * * * [progress]: picking best candidate 0.502 * * * * [pick]: Picked # 0.502 * * * [progress]: localizing error 0.508 * * * [progress]: generating rewritten candidates 0.508 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.519 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.531 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.593 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.614 * * * [progress]: generating series expansions 0.614 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.614 * [backup-simplify]: Simplify (sqrt (/ x (+ x y))) into (sqrt (/ x (+ x y))) 0.614 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 0.614 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 0.614 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.614 * [taylor]: Taking taylor expansion of x in y 0.614 * [backup-simplify]: Simplify x into x 0.614 * [taylor]: Taking taylor expansion of (+ x y) in y 0.614 * [taylor]: Taking taylor expansion of x in y 0.614 * [backup-simplify]: Simplify x into x 0.614 * [taylor]: Taking taylor expansion of y in y 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 1 into 1 0.614 * [backup-simplify]: Simplify (+ x 0) into x 0.614 * [backup-simplify]: Simplify (/ x x) into 1 0.615 * [backup-simplify]: Simplify (sqrt 1) into 1 0.615 * [backup-simplify]: Simplify (+ 0 1) into 1 0.615 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 1 x)))) into (- (/ 1 x)) 0.616 * [backup-simplify]: Simplify (/ (- (/ 1 x)) (* 2 (sqrt 1))) into (/ -1/2 x) 0.616 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 0.616 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify 1 into 1 0.616 * [taylor]: Taking taylor expansion of (+ x y) in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify 1 into 1 0.616 * [taylor]: Taking taylor expansion of y in x 0.616 * [backup-simplify]: Simplify y into y 0.616 * [backup-simplify]: Simplify (+ 0 y) into y 0.616 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.616 * [backup-simplify]: Simplify (sqrt 0) into 0 0.617 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 0.617 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 0.617 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify 1 into 1 0.617 * [taylor]: Taking taylor expansion of (+ x y) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify 1 into 1 0.617 * [taylor]: Taking taylor expansion of y in x 0.617 * [backup-simplify]: Simplify y into y 0.617 * [backup-simplify]: Simplify (+ 0 y) into y 0.617 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.617 * [backup-simplify]: Simplify (sqrt 0) into 0 0.617 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 0.617 * [taylor]: Taking taylor expansion of 0 in y 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 0.618 * [taylor]: Taking taylor expansion of +nan.0 in y 0.618 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.618 * [taylor]: Taking taylor expansion of y in y 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify 1 into 1 0.618 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 0.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify (+ 1 0) into 1 0.619 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.620 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 2))) (pow (/ +nan.0 y) 2) (+)) (* 2 0)) into (/ +nan.0 (pow y 2)) 0.620 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 0.620 * [taylor]: Taking taylor expansion of +nan.0 in y 0.620 * [backup-simplify]: Simplify +nan.0 into +nan.0 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 0.620 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 0.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 0.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.622 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify (sqrt (/ (/ 1 x) (+ (/ 1 x) (/ 1 y)))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 0.627 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.627 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.627 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.627 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.628 * [taylor]: Taking taylor expansion of x in y 0.628 * [backup-simplify]: Simplify x into x 0.628 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.628 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.628 * [taylor]: Taking taylor expansion of y in y 0.628 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify 1 into 1 0.628 * [backup-simplify]: Simplify (/ 1 1) into 1 0.628 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.628 * [taylor]: Taking taylor expansion of x in y 0.628 * [backup-simplify]: Simplify x into x 0.628 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.628 * [backup-simplify]: Simplify (+ 1 0) into 1 0.628 * [backup-simplify]: Simplify (* x 1) into x 0.628 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.629 * [backup-simplify]: Simplify (sqrt 0) into 0 0.629 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 0.629 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.629 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.629 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify 1 into 1 0.629 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.629 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.629 * [taylor]: Taking taylor expansion of y in x 0.629 * [backup-simplify]: Simplify y into y 0.629 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.629 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify 1 into 1 0.629 * [backup-simplify]: Simplify (/ 1 1) into 1 0.630 * [backup-simplify]: Simplify (+ 0 1) into 1 0.630 * [backup-simplify]: Simplify (* 0 1) into 0 0.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.631 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.631 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.631 * [backup-simplify]: Simplify (/ 1 1) into 1 0.631 * [backup-simplify]: Simplify (sqrt 1) into 1 0.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.632 * [backup-simplify]: Simplify (+ 0 0) into 0 0.633 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.633 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 0.633 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.633 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.633 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.633 * [taylor]: Taking taylor expansion of x in x 0.633 * [backup-simplify]: Simplify 0 into 0 0.633 * [backup-simplify]: Simplify 1 into 1 0.633 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.633 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.633 * [taylor]: Taking taylor expansion of y in x 0.633 * [backup-simplify]: Simplify y into y 0.633 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.633 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.633 * [taylor]: Taking taylor expansion of x in x 0.633 * [backup-simplify]: Simplify 0 into 0 0.633 * [backup-simplify]: Simplify 1 into 1 0.633 * [backup-simplify]: Simplify (/ 1 1) into 1 0.634 * [backup-simplify]: Simplify (+ 0 1) into 1 0.634 * [backup-simplify]: Simplify (* 0 1) into 0 0.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.634 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.635 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.635 * [backup-simplify]: Simplify (/ 1 1) into 1 0.635 * [backup-simplify]: Simplify (sqrt 1) into 1 0.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.636 * [backup-simplify]: Simplify (+ 0 0) into 0 0.636 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.637 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 0.637 * [taylor]: Taking taylor expansion of 1 in y 0.637 * [backup-simplify]: Simplify 1 into 1 0.637 * [backup-simplify]: Simplify 1 into 1 0.637 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.637 * [taylor]: Taking taylor expansion of -1/2 in y 0.637 * [backup-simplify]: Simplify -1/2 into -1/2 0.637 * [taylor]: Taking taylor expansion of y in y 0.637 * [backup-simplify]: Simplify 0 into 0 0.637 * [backup-simplify]: Simplify 1 into 1 0.637 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.639 * [backup-simplify]: Simplify (+ 0 0) into 0 0.639 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.640 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 0.640 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.640 * [taylor]: Taking taylor expansion of 3/8 in y 0.640 * [backup-simplify]: Simplify 3/8 into 3/8 0.640 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.640 * [taylor]: Taking taylor expansion of y in y 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify 1 into 1 0.641 * [backup-simplify]: Simplify (* 1 1) into 1 0.641 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 0.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 0.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.643 * [backup-simplify]: Simplify 0 into 0 0.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 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 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.644 * [backup-simplify]: Simplify (+ 0 0) into 0 0.645 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 0.647 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 0.647 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 0.647 * [taylor]: Taking taylor expansion of -5/16 in y 0.647 * [backup-simplify]: Simplify -5/16 into -5/16 0.647 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.647 * [taylor]: Taking taylor expansion of y in y 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 0.648 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 0.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 0.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify 1 into 1 0.652 * [backup-simplify]: Simplify (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y))))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 0.652 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.652 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.652 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.652 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.652 * [taylor]: Taking taylor expansion of x in y 0.652 * [backup-simplify]: Simplify x into x 0.652 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.652 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.652 * [taylor]: Taking taylor expansion of y in y 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify 1 into 1 0.652 * [backup-simplify]: Simplify (/ 1 1) into 1 0.652 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.652 * [taylor]: Taking taylor expansion of x in y 0.652 * [backup-simplify]: Simplify x into x 0.652 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.653 * [backup-simplify]: Simplify (+ 1 0) into 1 0.653 * [backup-simplify]: Simplify (* x 1) into x 0.653 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.653 * [backup-simplify]: Simplify (sqrt 0) into 0 0.653 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 0.653 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.653 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 1 into 1 0.654 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.654 * [taylor]: Taking taylor expansion of y in x 0.654 * [backup-simplify]: Simplify y into y 0.654 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.654 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 1 into 1 0.654 * [backup-simplify]: Simplify (/ 1 1) into 1 0.654 * [backup-simplify]: Simplify (+ 0 1) into 1 0.654 * [backup-simplify]: Simplify (* 0 1) into 0 0.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.655 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.655 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.655 * [backup-simplify]: Simplify (/ 1 1) into 1 0.656 * [backup-simplify]: Simplify (sqrt 1) into 1 0.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.656 * [backup-simplify]: Simplify (+ 0 0) into 0 0.657 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.657 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 0.657 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.657 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.657 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.657 * [taylor]: Taking taylor expansion of x in x 0.657 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify 1 into 1 0.657 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.657 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.657 * [taylor]: Taking taylor expansion of y in x 0.657 * [backup-simplify]: Simplify y into y 0.658 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.658 * [taylor]: Taking taylor expansion of (/ 1 x) 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 (+ 0 1) into 1 0.658 * [backup-simplify]: Simplify (* 0 1) into 0 0.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.659 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.659 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.659 * [backup-simplify]: Simplify (/ 1 1) into 1 0.660 * [backup-simplify]: Simplify (sqrt 1) into 1 0.660 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.660 * [backup-simplify]: Simplify (+ 0 0) into 0 0.661 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.661 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 0.661 * [taylor]: Taking taylor expansion of 1 in y 0.661 * [backup-simplify]: Simplify 1 into 1 0.662 * [backup-simplify]: Simplify 1 into 1 0.662 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.662 * [taylor]: Taking taylor expansion of -1/2 in y 0.662 * [backup-simplify]: Simplify -1/2 into -1/2 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 0.662 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.662 * [backup-simplify]: Simplify 0 into 0 0.662 * [backup-simplify]: Simplify 0 into 0 0.663 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.664 * [backup-simplify]: Simplify (+ 0 0) into 0 0.664 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.665 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 0.665 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.665 * [taylor]: Taking taylor expansion of 3/8 in y 0.665 * [backup-simplify]: Simplify 3/8 into 3/8 0.665 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.665 * [taylor]: Taking taylor expansion of y in y 0.665 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify 1 into 1 0.666 * [backup-simplify]: Simplify (* 1 1) into 1 0.666 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 0.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 0.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify 0 into 0 0.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.669 * [backup-simplify]: Simplify (+ 0 0) into 0 0.670 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 0.672 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 0.672 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 0.672 * [taylor]: Taking taylor expansion of -5/16 in y 0.672 * [backup-simplify]: Simplify -5/16 into -5/16 0.672 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.672 * [taylor]: Taking taylor expansion of y in y 0.672 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify 1 into 1 0.672 * [backup-simplify]: Simplify (* 1 1) into 1 0.672 * [backup-simplify]: Simplify (* 1 1) into 1 0.673 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 0.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 0.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.677 * [backup-simplify]: Simplify 0 into 0 0.677 * [backup-simplify]: Simplify 1 into 1 0.677 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.677 * [backup-simplify]: Simplify (sqrt (/ x (+ x y))) into (sqrt (/ x (+ x y))) 0.677 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 0.677 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 0.677 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.677 * [taylor]: Taking taylor expansion of x in y 0.677 * [backup-simplify]: Simplify x into x 0.677 * [taylor]: Taking taylor expansion of (+ x y) in y 0.677 * [taylor]: Taking taylor expansion of x in y 0.677 * [backup-simplify]: Simplify x into x 0.677 * [taylor]: Taking taylor expansion of y in y 0.677 * [backup-simplify]: Simplify 0 into 0 0.677 * [backup-simplify]: Simplify 1 into 1 0.677 * [backup-simplify]: Simplify (+ x 0) into x 0.677 * [backup-simplify]: Simplify (/ x x) into 1 0.678 * [backup-simplify]: Simplify (sqrt 1) into 1 0.678 * [backup-simplify]: Simplify (+ 0 1) into 1 0.678 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 1 x)))) into (- (/ 1 x)) 0.678 * [backup-simplify]: Simplify (/ (- (/ 1 x)) (* 2 (sqrt 1))) into (/ -1/2 x) 0.678 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 0.678 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.678 * [taylor]: Taking taylor expansion of x in x 0.678 * [backup-simplify]: Simplify 0 into 0 0.678 * [backup-simplify]: Simplify 1 into 1 0.678 * [taylor]: Taking taylor expansion of (+ x y) in x 0.678 * [taylor]: Taking taylor expansion of x in x 0.678 * [backup-simplify]: Simplify 0 into 0 0.678 * [backup-simplify]: Simplify 1 into 1 0.678 * [taylor]: Taking taylor expansion of y in x 0.678 * [backup-simplify]: Simplify y into y 0.678 * [backup-simplify]: Simplify (+ 0 y) into y 0.679 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.679 * [backup-simplify]: Simplify (sqrt 0) into 0 0.679 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 0.679 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 0.679 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.679 * [taylor]: Taking taylor expansion of x in x 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify 1 into 1 0.679 * [taylor]: Taking taylor expansion of (+ x y) in x 0.679 * [taylor]: Taking taylor expansion of x in x 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify 1 into 1 0.679 * [taylor]: Taking taylor expansion of y in x 0.679 * [backup-simplify]: Simplify y into y 0.679 * [backup-simplify]: Simplify (+ 0 y) into y 0.679 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.680 * [backup-simplify]: Simplify (sqrt 0) into 0 0.680 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 0.680 * [taylor]: Taking taylor expansion of 0 in y 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 0.680 * [taylor]: Taking taylor expansion of +nan.0 in y 0.680 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.680 * [taylor]: Taking taylor expansion of y in y 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify 1 into 1 0.680 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 0.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 0.681 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify (+ 1 0) into 1 0.681 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.682 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 2))) (pow (/ +nan.0 y) 2) (+)) (* 2 0)) into (/ +nan.0 (pow y 2)) 0.682 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 0.682 * [taylor]: Taking taylor expansion of +nan.0 in y 0.682 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.682 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.682 * [taylor]: Taking taylor expansion of y in y 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 1 into 1 0.682 * [backup-simplify]: Simplify (* 1 1) into 1 0.682 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 0.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 0.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.684 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify (sqrt (/ (/ 1 x) (+ (/ 1 x) (/ 1 y)))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 0.685 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.685 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.685 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.685 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.685 * [taylor]: Taking taylor expansion of x in y 0.685 * [backup-simplify]: Simplify x into x 0.685 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.685 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.685 * [taylor]: Taking taylor expansion of y in y 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify 1 into 1 0.685 * [backup-simplify]: Simplify (/ 1 1) into 1 0.685 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.685 * [taylor]: Taking taylor expansion of x in y 0.686 * [backup-simplify]: Simplify x into x 0.686 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.686 * [backup-simplify]: Simplify (+ 1 0) into 1 0.686 * [backup-simplify]: Simplify (* x 1) into x 0.686 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.686 * [backup-simplify]: Simplify (sqrt 0) into 0 0.686 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 0.686 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.686 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.686 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify 1 into 1 0.687 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.687 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.687 * [taylor]: Taking taylor expansion of y in x 0.687 * [backup-simplify]: Simplify y into y 0.687 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.687 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify 1 into 1 0.687 * [backup-simplify]: Simplify (/ 1 1) into 1 0.687 * [backup-simplify]: Simplify (+ 0 1) into 1 0.687 * [backup-simplify]: Simplify (* 0 1) into 0 0.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.688 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.688 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.688 * [backup-simplify]: Simplify (/ 1 1) into 1 0.689 * [backup-simplify]: Simplify (sqrt 1) into 1 0.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.689 * [backup-simplify]: Simplify (+ 0 0) into 0 0.690 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.690 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 0.690 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.690 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.690 * [backup-simplify]: Simplify 0 into 0 0.690 * [backup-simplify]: Simplify 1 into 1 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.690 * [taylor]: Taking taylor expansion of y in x 0.690 * [backup-simplify]: Simplify y into y 0.690 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.690 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.690 * [backup-simplify]: Simplify 0 into 0 0.690 * [backup-simplify]: Simplify 1 into 1 0.691 * [backup-simplify]: Simplify (/ 1 1) into 1 0.691 * [backup-simplify]: Simplify (+ 0 1) into 1 0.691 * [backup-simplify]: Simplify (* 0 1) into 0 0.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.692 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.692 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.692 * [backup-simplify]: Simplify (/ 1 1) into 1 0.692 * [backup-simplify]: Simplify (sqrt 1) into 1 0.692 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.693 * [backup-simplify]: Simplify (+ 0 0) into 0 0.694 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.694 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 0.694 * [taylor]: Taking taylor expansion of 1 in y 0.694 * [backup-simplify]: Simplify 1 into 1 0.694 * [backup-simplify]: Simplify 1 into 1 0.694 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.694 * [taylor]: Taking taylor expansion of -1/2 in y 0.694 * [backup-simplify]: Simplify -1/2 into -1/2 0.694 * [taylor]: Taking taylor expansion of y in y 0.694 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify 1 into 1 0.695 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.695 * [backup-simplify]: Simplify 0 into 0 0.695 * [backup-simplify]: Simplify 0 into 0 0.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.696 * [backup-simplify]: Simplify (+ 0 0) into 0 0.697 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.698 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 0.698 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.698 * [taylor]: Taking taylor expansion of 3/8 in y 0.698 * [backup-simplify]: Simplify 3/8 into 3/8 0.698 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.698 * [taylor]: Taking taylor expansion of y in y 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify 1 into 1 0.698 * [backup-simplify]: Simplify (* 1 1) into 1 0.698 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 0.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 0.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.700 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.701 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.702 * [backup-simplify]: Simplify (+ 0 0) into 0 0.703 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 0.704 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 0.704 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 0.704 * [taylor]: Taking taylor expansion of -5/16 in y 0.704 * [backup-simplify]: Simplify -5/16 into -5/16 0.704 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.704 * [taylor]: Taking taylor expansion of y in y 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify 1 into 1 0.704 * [backup-simplify]: Simplify (* 1 1) into 1 0.704 * [backup-simplify]: Simplify (* 1 1) into 1 0.705 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 0.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 0.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y))))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 0.709 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.709 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.709 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.709 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.709 * [taylor]: Taking taylor expansion of x in y 0.709 * [backup-simplify]: Simplify x into x 0.709 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.709 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.709 * [taylor]: Taking taylor expansion of y in y 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify (/ 1 1) into 1 0.709 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.709 * [taylor]: Taking taylor expansion of x in y 0.709 * [backup-simplify]: Simplify x into x 0.709 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.710 * [backup-simplify]: Simplify (+ 1 0) into 1 0.710 * [backup-simplify]: Simplify (* x 1) into x 0.710 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.710 * [backup-simplify]: Simplify (sqrt 0) into 0 0.710 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 0.710 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.710 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.710 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.710 * [taylor]: Taking taylor expansion of x in x 0.710 * [backup-simplify]: Simplify 0 into 0 0.710 * [backup-simplify]: Simplify 1 into 1 0.710 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.710 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.710 * [taylor]: Taking taylor expansion of y in x 0.710 * [backup-simplify]: Simplify y into y 0.710 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.710 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify 1 into 1 0.711 * [backup-simplify]: Simplify (/ 1 1) into 1 0.711 * [backup-simplify]: Simplify (+ 0 1) into 1 0.711 * [backup-simplify]: Simplify (* 0 1) into 0 0.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.712 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.712 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.712 * [backup-simplify]: Simplify (/ 1 1) into 1 0.712 * [backup-simplify]: Simplify (sqrt 1) into 1 0.712 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.713 * [backup-simplify]: Simplify (+ 0 0) into 0 0.714 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.714 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 0.714 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.714 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.714 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.714 * [backup-simplify]: Simplify 0 into 0 0.714 * [backup-simplify]: Simplify 1 into 1 0.714 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.714 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.714 * [taylor]: Taking taylor expansion of y in x 0.714 * [backup-simplify]: Simplify y into y 0.714 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.714 * [backup-simplify]: Simplify 0 into 0 0.714 * [backup-simplify]: Simplify 1 into 1 0.715 * [backup-simplify]: Simplify (/ 1 1) into 1 0.715 * [backup-simplify]: Simplify (+ 0 1) into 1 0.715 * [backup-simplify]: Simplify (* 0 1) into 0 0.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.715 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.716 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.716 * [backup-simplify]: Simplify (/ 1 1) into 1 0.716 * [backup-simplify]: Simplify (sqrt 1) into 1 0.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.719 * [backup-simplify]: Simplify (+ 0 0) into 0 0.720 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.721 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 0.721 * [taylor]: Taking taylor expansion of 1 in y 0.721 * [backup-simplify]: Simplify 1 into 1 0.721 * [backup-simplify]: Simplify 1 into 1 0.721 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.721 * [taylor]: Taking taylor expansion of -1/2 in y 0.721 * [backup-simplify]: Simplify -1/2 into -1/2 0.721 * [taylor]: Taking taylor expansion of y in y 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify 1 into 1 0.721 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.722 * [backup-simplify]: Simplify (+ 0 0) into 0 0.723 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.724 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 0.724 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.724 * [taylor]: Taking taylor expansion of 3/8 in y 0.724 * [backup-simplify]: Simplify 3/8 into 3/8 0.724 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.724 * [taylor]: Taking taylor expansion of y in y 0.724 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify 1 into 1 0.725 * [backup-simplify]: Simplify (* 1 1) into 1 0.725 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 0.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 0.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.728 * [backup-simplify]: Simplify (+ 0 0) into 0 0.729 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 0.730 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 0.730 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 0.730 * [taylor]: Taking taylor expansion of -5/16 in y 0.730 * [backup-simplify]: Simplify -5/16 into -5/16 0.730 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.730 * [taylor]: Taking taylor expansion of y in y 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 1 into 1 0.730 * [backup-simplify]: Simplify (* 1 1) into 1 0.731 * [backup-simplify]: Simplify (* 1 1) into 1 0.731 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 0.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 0.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 1 into 1 0.735 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.735 * [backup-simplify]: Simplify (* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y)))) into (/ x (+ x y)) 0.735 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.735 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.735 * [taylor]: Taking taylor expansion of x in y 0.735 * [backup-simplify]: Simplify x into x 0.735 * [taylor]: Taking taylor expansion of (+ x y) in y 0.735 * [taylor]: Taking taylor expansion of x in y 0.735 * [backup-simplify]: Simplify x into x 0.735 * [taylor]: Taking taylor expansion of y in y 0.735 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.736 * [backup-simplify]: Simplify (+ x 0) into x 0.736 * [backup-simplify]: Simplify (/ x x) into 1 0.736 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.736 * [taylor]: Taking taylor expansion of (+ x y) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.736 * [taylor]: Taking taylor expansion of y in x 0.736 * [backup-simplify]: Simplify y into y 0.736 * [backup-simplify]: Simplify (+ 0 y) into y 0.736 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.736 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.736 * [taylor]: Taking taylor expansion of (+ x y) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.736 * [taylor]: Taking taylor expansion of y in x 0.736 * [backup-simplify]: Simplify y into y 0.736 * [backup-simplify]: Simplify (+ 0 y) into y 0.736 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.736 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.736 * [taylor]: Taking taylor expansion of y in y 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.736 * [backup-simplify]: Simplify (/ 1 1) into 1 0.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify (+ 1 0) into 1 0.737 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.737 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.737 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.737 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.737 * [taylor]: Taking taylor expansion of y in y 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify 1 into 1 0.737 * [backup-simplify]: Simplify (* 1 1) into 1 0.738 * [backup-simplify]: Simplify (/ 1 1) into 1 0.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.739 * [backup-simplify]: Simplify (- 0) into 0 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify (+ 0 0) into 0 0.740 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 0.741 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.741 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.741 * [taylor]: Taking taylor expansion of y in y 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 1 into 1 0.741 * [backup-simplify]: Simplify (* 1 1) into 1 0.741 * [backup-simplify]: Simplify (* 1 1) into 1 0.741 * [backup-simplify]: Simplify (/ 1 1) into 1 0.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.745 * [backup-simplify]: Simplify 0 into 0 0.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.746 * [backup-simplify]: Simplify (- 0) into 0 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify (* (sqrt (/ (/ 1 x) (+ (/ 1 x) (/ 1 y)))) (sqrt (/ (/ 1 x) (+ (/ 1 x) (/ 1 y))))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.747 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.747 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.747 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.747 * [taylor]: Taking taylor expansion of x in y 0.747 * [backup-simplify]: Simplify x into x 0.747 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.747 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.747 * [taylor]: Taking taylor expansion of y in y 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify 1 into 1 0.748 * [backup-simplify]: Simplify (/ 1 1) into 1 0.748 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.748 * [taylor]: Taking taylor expansion of x in y 0.748 * [backup-simplify]: Simplify x into x 0.748 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.748 * [backup-simplify]: Simplify (+ 1 0) into 1 0.748 * [backup-simplify]: Simplify (* x 1) into x 0.748 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.748 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.748 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify 1 into 1 0.748 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.748 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.748 * [taylor]: Taking taylor expansion of y in x 0.748 * [backup-simplify]: Simplify y into y 0.748 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.748 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify 1 into 1 0.749 * [backup-simplify]: Simplify (/ 1 1) into 1 0.749 * [backup-simplify]: Simplify (+ 0 1) into 1 0.749 * [backup-simplify]: Simplify (* 0 1) into 0 0.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.750 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.750 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.750 * [backup-simplify]: Simplify (/ 1 1) into 1 0.750 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.750 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 1 into 1 0.750 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.750 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.750 * [taylor]: Taking taylor expansion of y in x 0.750 * [backup-simplify]: Simplify y into y 0.750 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.750 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 1 into 1 0.750 * [backup-simplify]: Simplify (/ 1 1) into 1 0.751 * [backup-simplify]: Simplify (+ 0 1) into 1 0.751 * [backup-simplify]: Simplify (* 0 1) into 0 0.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.751 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.752 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.752 * [backup-simplify]: Simplify (/ 1 1) into 1 0.752 * [taylor]: Taking taylor expansion of 1 in y 0.752 * [backup-simplify]: Simplify 1 into 1 0.752 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.753 * [backup-simplify]: Simplify (+ 0 0) into 0 0.753 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.753 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.753 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.753 * [taylor]: Taking taylor expansion of y in y 0.753 * [backup-simplify]: Simplify 0 into 0 0.754 * [backup-simplify]: Simplify 1 into 1 0.754 * [backup-simplify]: Simplify (/ 1 1) into 1 0.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.755 * [backup-simplify]: Simplify (- 0) into 0 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.756 * [backup-simplify]: Simplify (+ 0 0) into 0 0.756 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.757 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.757 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.757 * [taylor]: Taking taylor expansion of y in y 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 1 into 1 0.757 * [backup-simplify]: Simplify (* 1 1) into 1 0.757 * [backup-simplify]: Simplify (/ 1 1) into 1 0.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.761 * [backup-simplify]: Simplify (- 0) into 0 0.761 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify (* (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y))))) (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y)))))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.761 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.761 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.761 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.761 * [taylor]: Taking taylor expansion of x in y 0.761 * [backup-simplify]: Simplify x into x 0.761 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.761 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.761 * [taylor]: Taking taylor expansion of y in y 0.761 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify 1 into 1 0.761 * [backup-simplify]: Simplify (/ 1 1) into 1 0.761 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.761 * [taylor]: Taking taylor expansion of x in y 0.761 * [backup-simplify]: Simplify x into x 0.762 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.762 * [backup-simplify]: Simplify (+ 1 0) into 1 0.762 * [backup-simplify]: Simplify (* x 1) into x 0.762 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.762 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.762 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.762 * [taylor]: Taking taylor expansion of x in x 0.762 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify 1 into 1 0.762 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.762 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.762 * [taylor]: Taking taylor expansion of y in x 0.762 * [backup-simplify]: Simplify y into y 0.762 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.762 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.762 * [taylor]: Taking taylor expansion of x in x 0.762 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify 1 into 1 0.762 * [backup-simplify]: Simplify (/ 1 1) into 1 0.763 * [backup-simplify]: Simplify (+ 0 1) into 1 0.763 * [backup-simplify]: Simplify (* 0 1) into 0 0.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.763 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.763 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.764 * [backup-simplify]: Simplify (/ 1 1) into 1 0.764 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.764 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify 1 into 1 0.764 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.764 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.764 * [taylor]: Taking taylor expansion of y in x 0.764 * [backup-simplify]: Simplify y into y 0.764 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.764 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify 1 into 1 0.764 * [backup-simplify]: Simplify (/ 1 1) into 1 0.764 * [backup-simplify]: Simplify (+ 0 1) into 1 0.765 * [backup-simplify]: Simplify (* 0 1) into 0 0.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.765 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.765 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.766 * [backup-simplify]: Simplify (/ 1 1) into 1 0.766 * [taylor]: Taking taylor expansion of 1 in y 0.766 * [backup-simplify]: Simplify 1 into 1 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.766 * [backup-simplify]: Simplify (+ 0 0) into 0 0.767 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.767 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.767 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.767 * [taylor]: Taking taylor expansion of y in y 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify 1 into 1 0.767 * [backup-simplify]: Simplify (/ 1 1) into 1 0.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.768 * [backup-simplify]: Simplify (- 0) into 0 0.768 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.769 * [backup-simplify]: Simplify (+ 0 0) into 0 0.770 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.771 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.771 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.771 * [taylor]: Taking taylor expansion of y in y 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify 1 into 1 0.771 * [backup-simplify]: Simplify (* 1 1) into 1 0.771 * [backup-simplify]: Simplify (/ 1 1) into 1 0.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.774 * [backup-simplify]: Simplify (- 0) into 0 0.774 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.775 * [backup-simplify]: Simplify (/ x (+ x y)) into (/ x (+ x y)) 0.775 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.775 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.775 * [taylor]: Taking taylor expansion of x in y 0.775 * [backup-simplify]: Simplify x into x 0.775 * [taylor]: Taking taylor expansion of (+ x y) in y 0.775 * [taylor]: Taking taylor expansion of x in y 0.775 * [backup-simplify]: Simplify x into x 0.775 * [taylor]: Taking taylor expansion of y in y 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 1 into 1 0.775 * [backup-simplify]: Simplify (+ x 0) into x 0.775 * [backup-simplify]: Simplify (/ x x) into 1 0.775 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 1 into 1 0.775 * [taylor]: Taking taylor expansion of (+ x y) in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 1 into 1 0.775 * [taylor]: Taking taylor expansion of y in x 0.775 * [backup-simplify]: Simplify y into y 0.775 * [backup-simplify]: Simplify (+ 0 y) into y 0.775 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.775 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 1 into 1 0.775 * [taylor]: Taking taylor expansion of (+ x y) in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 1 into 1 0.775 * [taylor]: Taking taylor expansion of y in x 0.775 * [backup-simplify]: Simplify y into y 0.775 * [backup-simplify]: Simplify (+ 0 y) into y 0.775 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.775 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.775 * [taylor]: Taking taylor expansion of y in y 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 1 into 1 0.776 * [backup-simplify]: Simplify (/ 1 1) into 1 0.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify (+ 1 0) into 1 0.776 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.776 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.776 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.776 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.777 * [taylor]: Taking taylor expansion of y in y 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify 1 into 1 0.777 * [backup-simplify]: Simplify (* 1 1) into 1 0.777 * [backup-simplify]: Simplify (/ 1 1) into 1 0.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.779 * [backup-simplify]: Simplify (- 0) into 0 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.779 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify (+ 0 0) into 0 0.780 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 0.780 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.780 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.780 * [taylor]: Taking taylor expansion of y in y 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 1 into 1 0.780 * [backup-simplify]: Simplify (* 1 1) into 1 0.780 * [backup-simplify]: Simplify (* 1 1) into 1 0.781 * [backup-simplify]: Simplify (/ 1 1) into 1 0.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.786 * [backup-simplify]: Simplify (- 0) into 0 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify (/ (/ 1 x) (+ (/ 1 x) (/ 1 y))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.787 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.787 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.787 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.787 * [taylor]: Taking taylor expansion of x in y 0.787 * [backup-simplify]: Simplify x into x 0.787 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.787 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.787 * [taylor]: Taking taylor expansion of y in y 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 1 into 1 0.787 * [backup-simplify]: Simplify (/ 1 1) into 1 0.787 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.787 * [taylor]: Taking taylor expansion of x in y 0.787 * [backup-simplify]: Simplify x into x 0.787 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.787 * [backup-simplify]: Simplify (+ 1 0) into 1 0.787 * [backup-simplify]: Simplify (* x 1) into x 0.787 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.787 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.787 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 1 into 1 0.787 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.787 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.787 * [taylor]: Taking taylor expansion of y in x 0.787 * [backup-simplify]: Simplify y into y 0.788 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.788 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.788 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify 1 into 1 0.788 * [backup-simplify]: Simplify (/ 1 1) into 1 0.788 * [backup-simplify]: Simplify (+ 0 1) into 1 0.788 * [backup-simplify]: Simplify (* 0 1) into 0 0.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.789 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.789 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.789 * [backup-simplify]: Simplify (/ 1 1) into 1 0.789 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.789 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify 1 into 1 0.789 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.789 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.789 * [taylor]: Taking taylor expansion of y in x 0.789 * [backup-simplify]: Simplify y into y 0.789 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.789 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify 1 into 1 0.790 * [backup-simplify]: Simplify (/ 1 1) into 1 0.790 * [backup-simplify]: Simplify (+ 0 1) into 1 0.790 * [backup-simplify]: Simplify (* 0 1) into 0 0.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.791 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.791 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.791 * [backup-simplify]: Simplify (/ 1 1) into 1 0.791 * [taylor]: Taking taylor expansion of 1 in y 0.791 * [backup-simplify]: Simplify 1 into 1 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.792 * [backup-simplify]: Simplify (+ 0 0) into 0 0.792 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.793 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.793 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.793 * [taylor]: Taking taylor expansion of y in y 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify 1 into 1 0.793 * [backup-simplify]: Simplify (/ 1 1) into 1 0.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.794 * [backup-simplify]: Simplify (- 0) into 0 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.795 * [backup-simplify]: Simplify (+ 0 0) into 0 0.795 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.796 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.796 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.796 * [taylor]: Taking taylor expansion of y in y 0.796 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify 1 into 1 0.796 * [backup-simplify]: Simplify (* 1 1) into 1 0.796 * [backup-simplify]: Simplify (/ 1 1) into 1 0.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.799 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.800 * [backup-simplify]: Simplify (- 0) into 0 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.800 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.800 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.800 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.800 * [taylor]: Taking taylor expansion of x in y 0.800 * [backup-simplify]: Simplify x into x 0.800 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.800 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.800 * [taylor]: Taking taylor expansion of y in y 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 1 into 1 0.800 * [backup-simplify]: Simplify (/ 1 1) into 1 0.800 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.800 * [taylor]: Taking taylor expansion of x in y 0.800 * [backup-simplify]: Simplify x into x 0.800 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.801 * [backup-simplify]: Simplify (+ 1 0) into 1 0.801 * [backup-simplify]: Simplify (* x 1) into x 0.801 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.801 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.801 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify 1 into 1 0.801 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.801 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.801 * [taylor]: Taking taylor expansion of y in x 0.801 * [backup-simplify]: Simplify y into y 0.801 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.801 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify 1 into 1 0.801 * [backup-simplify]: Simplify (/ 1 1) into 1 0.801 * [backup-simplify]: Simplify (+ 0 1) into 1 0.802 * [backup-simplify]: Simplify (* 0 1) into 0 0.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.802 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.802 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.803 * [backup-simplify]: Simplify (/ 1 1) into 1 0.803 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.803 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.803 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify 1 into 1 0.803 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.803 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.803 * [taylor]: Taking taylor expansion of y in x 0.803 * [backup-simplify]: Simplify y into y 0.803 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.803 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.803 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify 1 into 1 0.803 * [backup-simplify]: Simplify (/ 1 1) into 1 0.803 * [backup-simplify]: Simplify (+ 0 1) into 1 0.804 * [backup-simplify]: Simplify (* 0 1) into 0 0.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.804 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.804 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.804 * [backup-simplify]: Simplify (/ 1 1) into 1 0.805 * [taylor]: Taking taylor expansion of 1 in y 0.805 * [backup-simplify]: Simplify 1 into 1 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.805 * [backup-simplify]: Simplify (+ 0 0) into 0 0.806 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.806 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.806 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.806 * [taylor]: Taking taylor expansion of y in y 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify 1 into 1 0.806 * [backup-simplify]: Simplify (/ 1 1) into 1 0.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.810 * [backup-simplify]: Simplify (- 0) into 0 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.811 * [backup-simplify]: Simplify (+ 0 0) into 0 0.811 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.812 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.812 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.812 * [taylor]: Taking taylor expansion of y in y 0.812 * [backup-simplify]: Simplify 0 into 0 0.812 * [backup-simplify]: Simplify 1 into 1 0.812 * [backup-simplify]: Simplify (* 1 1) into 1 0.812 * [backup-simplify]: Simplify (/ 1 1) into 1 0.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.815 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.816 * [backup-simplify]: Simplify (- 0) into 0 0.816 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify 0 into 0 0.816 * * * [progress]: simplifying candidates 0.819 * [simplify]: Simplifying: (expm1 (sqrt (/ x (+ x y)))) (log1p (sqrt (/ x (+ x y)))) (log (sqrt (/ x (+ x y)))) (exp (sqrt (/ x (+ x y)))) (* (cbrt (sqrt (/ x (+ x y)))) (cbrt (sqrt (/ x (+ x y))))) (cbrt (sqrt (/ x (+ x y)))) (* (* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y)))) 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h0)) 1) (/ (cbrt h0) (+ h0 h1)) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ h0 h1)) (/ (sqrt h0) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (sqrt h0) (cbrt (+ h0 h1))) (/ (sqrt h0) (sqrt (+ h0 h1))) (/ (sqrt h0) (sqrt (+ h0 h1))) (/ (sqrt h0) 1) (/ (sqrt h0) (+ h0 h1)) (/ (sqrt h0) 1) (/ (sqrt h0) (+ h0 h1)) (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ h0 (cbrt (+ h0 h1))) (/ 1 (sqrt (+ h0 h1))) (/ h0 (sqrt (+ h0 h1))) (/ 1 1) (/ h0 (+ h0 h1)) (/ 1 1) (/ h0 (+ h0 h1)) (/ 1 (+ h0 h1)) (/ (+ h0 h1) h0) (/ h0 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ h0 (sqrt (+ h0 h1))) (/ h0 1) (/ h0 1) (/ (+ h0 h1) (cbrt h0)) (/ (+ h0 h1) (sqrt h0)) (/ (+ h0 h1) h0) (/ h0 (+ (pow h0 3) (pow h1 3))) (/ h0 (- (* h0 h0) (* h1 h1))) 0 1 1 0 1 1 0 0 0 0 0 0 0.827 * * [simplify]: iteration 0 : 303 enodes (cost 1248 ) 0.833 * * [simplify]: iteration 1 : 1457 enodes (cost 1158 ) 0.863 * * [simplify]: iteration 2 : 5002 enodes (cost 1139 ) 0.870 * * * [progress]: adding candidates to table 1.251 * [progress]: [Phase 3 of 3] Extracting. 1.251 * * [regime]: Finding splitpoints for: (# # #) 1.251 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ x y)) y x) 1.251 * * * * [regimes]: Trying to branch on (/ x (+ x y)) from (# # #) 1.262 * * * * [regimes]: Trying to branch on y from (# # #) 1.276 * * * * [regimes]: Trying to branch on x from (# # #) 1.288 * * * [regime]: Found split indices: #