5.193 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying: (/ x (+ x y)) 0.013 * [simplify]: Sending expressions to egg_math: (/ h0 (+ h0 h1)) 0.015 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.017 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.017 * * [progress]: iteration 1 / 4 0.017 * * * [progress]: picking best candidate 0.018 * * * * [pick]: Picked # 0.018 * * * [progress]: localizing error 0.022 * * * [progress]: generating rewritten candidates 0.022 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.034 * * * [progress]: generating series expansions 0.034 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.034 * [backup-simplify]: Simplify (/ x (+ x y)) into (/ x (+ x y)) 0.034 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.034 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.034 * [taylor]: Taking taylor expansion of x in y 0.034 * [backup-simplify]: Simplify x into x 0.034 * [taylor]: Taking taylor expansion of (+ x y) in y 0.034 * [taylor]: Taking taylor expansion of x in y 0.034 * [backup-simplify]: Simplify x into x 0.034 * [taylor]: Taking taylor expansion of y in y 0.034 * [backup-simplify]: Simplify 0 into 0 0.034 * [backup-simplify]: Simplify 1 into 1 0.034 * [backup-simplify]: Simplify (+ x 0) into x 0.034 * [backup-simplify]: Simplify (/ x x) into 1 0.034 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [backup-simplify]: Simplify 0 into 0 0.034 * [backup-simplify]: Simplify 1 into 1 0.034 * [taylor]: Taking taylor expansion of (+ x y) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [backup-simplify]: Simplify 0 into 0 0.034 * [backup-simplify]: Simplify 1 into 1 0.034 * [taylor]: Taking taylor expansion of y in x 0.034 * [backup-simplify]: Simplify y into y 0.034 * [backup-simplify]: Simplify (+ 0 y) into y 0.034 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.034 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [backup-simplify]: Simplify 0 into 0 0.034 * [backup-simplify]: Simplify 1 into 1 0.034 * [taylor]: Taking taylor expansion of (+ x y) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [backup-simplify]: Simplify 0 into 0 0.034 * [backup-simplify]: Simplify 1 into 1 0.034 * [taylor]: Taking taylor expansion of y in x 0.034 * [backup-simplify]: Simplify y into y 0.034 * [backup-simplify]: Simplify (+ 0 y) into y 0.034 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.034 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.034 * [backup-simplify]: Simplify 0 into 0 0.034 * [backup-simplify]: Simplify 1 into 1 0.035 * [backup-simplify]: Simplify (/ 1 1) into 1 0.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.035 * [backup-simplify]: Simplify 0 into 0 0.036 * [backup-simplify]: Simplify (+ 1 0) into 1 0.036 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.036 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.036 * [backup-simplify]: Simplify 0 into 0 0.036 * [backup-simplify]: Simplify 1 into 1 0.036 * [backup-simplify]: Simplify (* 1 1) into 1 0.036 * [backup-simplify]: Simplify (/ 1 1) into 1 0.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.038 * [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 into 0 0.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.039 * [backup-simplify]: Simplify 0 into 0 0.039 * [backup-simplify]: Simplify (+ 0 0) into 0 0.039 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.039 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.039 * [backup-simplify]: Simplify 0 into 0 0.039 * [backup-simplify]: Simplify 1 into 1 0.040 * [backup-simplify]: Simplify (* 1 1) into 1 0.040 * [backup-simplify]: Simplify (* 1 1) into 1 0.040 * [backup-simplify]: Simplify (/ 1 1) into 1 0.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 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 0.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.045 * [backup-simplify]: Simplify (- 0) into 0 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify (/ (/ 1 x) (+ (/ 1 x) (/ 1 y))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.046 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.047 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [backup-simplify]: Simplify x into x 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.050 * [backup-simplify]: Simplify (/ 1 1) into 1 0.050 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.051 * [backup-simplify]: Simplify x into x 0.051 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.051 * [backup-simplify]: Simplify (+ 1 0) into 1 0.051 * [backup-simplify]: Simplify (* x 1) into x 0.051 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.051 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.051 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [backup-simplify]: Simplify y into y 0.051 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.051 * [taylor]: Taking taylor expansion of x in x 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 0.052 * [backup-simplify]: Simplify (+ 0 1) into 1 0.052 * [backup-simplify]: Simplify (* 0 1) into 0 0.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.052 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.053 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.053 * [backup-simplify]: Simplify (/ 1 1) into 1 0.053 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.053 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [backup-simplify]: Simplify y into y 0.053 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify (/ 1 1) into 1 0.054 * [backup-simplify]: Simplify (+ 0 1) into 1 0.054 * [backup-simplify]: Simplify (* 0 1) into 0 0.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.054 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.054 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.055 * [backup-simplify]: Simplify (/ 1 1) into 1 0.055 * [taylor]: Taking taylor expansion of 1 in y 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.056 * [backup-simplify]: Simplify (+ 0 0) into 0 0.056 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.056 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 1 into 1 0.057 * [backup-simplify]: Simplify (/ 1 1) into 1 0.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.059 * [backup-simplify]: Simplify (+ 0 0) into 0 0.060 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify (* 1 1) into 1 0.061 * [backup-simplify]: Simplify (/ 1 1) into 1 0.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.064 * [backup-simplify]: Simplify (- 0) into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.064 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.064 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.064 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.064 * [taylor]: Taking taylor expansion of x in y 0.064 * [backup-simplify]: Simplify x into x 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) 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 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.065 * [taylor]: Taking taylor expansion of x in y 0.065 * [backup-simplify]: Simplify x into x 0.065 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.065 * [backup-simplify]: Simplify (+ 1 0) into 1 0.065 * [backup-simplify]: Simplify (* x 1) into x 0.065 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.065 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.065 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [backup-simplify]: Simplify y into y 0.065 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (/ 1 1) into 1 0.066 * [backup-simplify]: Simplify (+ 0 1) into 1 0.066 * [backup-simplify]: Simplify (* 0 1) into 0 0.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.066 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.067 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.067 * [backup-simplify]: Simplify (/ 1 1) into 1 0.067 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.067 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [backup-simplify]: Simplify y into y 0.067 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.067 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [backup-simplify]: Simplify (/ 1 1) into 1 0.068 * [backup-simplify]: Simplify (+ 0 1) into 1 0.068 * [backup-simplify]: Simplify (* 0 1) into 0 0.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.068 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.069 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.069 * [backup-simplify]: Simplify (/ 1 1) into 1 0.069 * [taylor]: Taking taylor expansion of 1 in y 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify (+ 0 0) into 0 0.070 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.070 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (/ 1 1) into 1 0.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify (* 1 1) into 1 0.074 * [backup-simplify]: Simplify (/ 1 1) into 1 0.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify (- 0) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * * * [progress]: simplifying candidates 0.078 * [simplify]: Simplifying: (- (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 0.078 * [simplify]: Sending expressions to egg_math: (- (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 0.082 * * [simplify]: iteration 0 : 118 enodes (cost 153 ) 0.085 * * [simplify]: iteration 1 : 378 enodes (cost 144 ) 0.091 * * [simplify]: iteration 2 : 1024 enodes (cost 144 ) 0.108 * * [simplify]: iteration 3 : 3620 enodes (cost 144 ) 0.153 * * [simplify]: iteration 4 : 5001 enodes (cost 144 ) 0.154 * * * [progress]: adding candidates to table 0.203 * * [progress]: iteration 2 / 4 0.203 * * * [progress]: picking best candidate 0.206 * * * * [pick]: Picked # 0.206 * * * [progress]: localizing error 0.211 * * * [progress]: generating rewritten candidates 0.211 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.241 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.255 * * * [progress]: generating series expansions 0.255 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.255 * [backup-simplify]: Simplify (* x (/ 1 (+ x y))) into (/ x (+ x y)) 0.255 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.255 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.255 * [taylor]: Taking taylor expansion of x in y 0.255 * [backup-simplify]: Simplify x into x 0.255 * [taylor]: Taking taylor expansion of (+ x y) in y 0.255 * [taylor]: Taking taylor expansion of x in y 0.255 * [backup-simplify]: Simplify x into x 0.255 * [taylor]: Taking taylor expansion of y in y 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify (+ x 0) into x 0.255 * [backup-simplify]: Simplify (/ x x) into 1 0.255 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.256 * [taylor]: Taking taylor expansion of (+ x y) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [taylor]: Taking taylor expansion of y in x 0.256 * [backup-simplify]: Simplify y into y 0.256 * [backup-simplify]: Simplify (+ 0 y) into y 0.256 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.256 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [taylor]: Taking taylor expansion of (+ x y) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [taylor]: Taking taylor expansion of y in x 0.256 * [backup-simplify]: Simplify y into y 0.256 * [backup-simplify]: Simplify (+ 0 y) into y 0.256 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.256 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.256 * [taylor]: Taking taylor expansion of y in y 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify (/ 1 1) into 1 0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify (+ 1 0) into 1 0.257 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.257 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.257 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (* 1 1) into 1 0.258 * [backup-simplify]: Simplify (/ 1 1) into 1 0.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (- 0) into 0 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.261 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (* 1 1) into 1 0.261 * [backup-simplify]: Simplify (* 1 1) into 1 0.261 * [backup-simplify]: Simplify (/ 1 1) into 1 0.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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)) (* 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 x) (/ 1 (+ (/ 1 x) (/ 1 y)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.267 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.267 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.267 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.267 * [taylor]: Taking taylor expansion of x in y 0.267 * [backup-simplify]: Simplify x into x 0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (/ 1 1) into 1 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.268 * [taylor]: Taking taylor expansion of x in y 0.268 * [backup-simplify]: Simplify x into x 0.268 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.268 * [backup-simplify]: Simplify (+ 1 0) into 1 0.268 * [backup-simplify]: Simplify (* x 1) into x 0.268 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.268 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.268 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.268 * [taylor]: Taking taylor expansion of y in x 0.268 * [backup-simplify]: Simplify y into y 0.268 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.269 * [backup-simplify]: Simplify (+ 0 1) into 1 0.269 * [backup-simplify]: Simplify (* 0 1) into 0 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.270 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.270 * [backup-simplify]: Simplify (/ 1 1) into 1 0.270 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.270 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.270 * [backup-simplify]: Simplify y into y 0.270 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (/ 1 1) into 1 0.271 * [backup-simplify]: Simplify (+ 0 1) into 1 0.271 * [backup-simplify]: Simplify (* 0 1) into 0 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.272 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.272 * [backup-simplify]: Simplify (/ 1 1) into 1 0.272 * [taylor]: Taking taylor expansion of 1 in y 0.272 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.273 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.273 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (/ 1 1) into 1 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (- 0) into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.276 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify (* 1 1) into 1 0.277 * [backup-simplify]: Simplify (/ 1 1) into 1 0.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (- 0) into 0 0.280 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify (* (/ 1 (- x)) (/ 1 (+ (/ 1 (- x)) (/ 1 (- y))))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.281 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.281 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.281 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.281 * [taylor]: Taking taylor expansion of x in y 0.281 * [backup-simplify]: Simplify x into x 0.281 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.281 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.281 * [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 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.281 * [taylor]: Taking taylor expansion of x in y 0.281 * [backup-simplify]: Simplify x into x 0.281 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.281 * [backup-simplify]: Simplify (+ 1 0) into 1 0.281 * [backup-simplify]: Simplify (* x 1) into x 0.281 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.282 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.282 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.282 * [taylor]: Taking taylor expansion of y in x 0.282 * [backup-simplify]: Simplify y into y 0.282 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (/ 1 1) into 1 0.282 * [backup-simplify]: Simplify (+ 0 1) into 1 0.282 * [backup-simplify]: Simplify (* 0 1) into 0 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.283 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.283 * [backup-simplify]: Simplify (/ 1 1) into 1 0.283 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.283 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.283 * [taylor]: Taking taylor expansion of y in x 0.283 * [backup-simplify]: Simplify y into y 0.283 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 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 (+ 0 1) into 1 0.284 * [backup-simplify]: Simplify (* 0 1) into 0 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.285 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.285 * [backup-simplify]: Simplify (/ 1 1) into 1 0.285 * [taylor]: Taking taylor expansion of 1 in y 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.287 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.287 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.287 * [taylor]: Taking taylor expansion of y in y 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (/ 1 1) into 1 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (+ 0 0) into 0 0.290 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.290 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.290 * [taylor]: Taking taylor expansion of y in y 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (* 1 1) into 1 0.291 * [backup-simplify]: Simplify (/ 1 1) into 1 0.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (- 0) into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.294 * [backup-simplify]: Simplify (/ 1 (+ x y)) into (/ 1 (+ x y)) 0.294 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (x y) around 0 0.294 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.294 * [taylor]: Taking taylor expansion of (+ x y) in y 0.294 * [taylor]: Taking taylor expansion of x in y 0.294 * [backup-simplify]: Simplify x into x 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 0.295 * [backup-simplify]: Simplify (+ x 0) into x 0.295 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.295 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.295 * [taylor]: Taking taylor expansion of (+ x y) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [taylor]: Taking taylor expansion of y in x 0.295 * [backup-simplify]: Simplify y into y 0.295 * [backup-simplify]: Simplify (+ 0 y) into y 0.295 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.295 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.295 * [taylor]: Taking taylor expansion of (+ x y) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [taylor]: Taking taylor expansion of y in x 0.295 * [backup-simplify]: Simplify y into y 0.295 * [backup-simplify]: Simplify (+ 0 y) into y 0.295 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.295 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.295 * [taylor]: Taking taylor expansion of y in y 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (/ 1 1) into 1 0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify (+ 1 0) into 1 0.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.296 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.296 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.296 * [taylor]: Taking taylor expansion of y in y 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify (* 1 1) into 1 0.297 * [backup-simplify]: Simplify (/ 1 1) into 1 0.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (- 0) into 0 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.300 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (* 1 1) into 1 0.300 * [backup-simplify]: Simplify (* 1 1) into 1 0.300 * [backup-simplify]: Simplify (/ 1 1) into 1 0.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (- 0) into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 x) (/ 1 y))) into (/ 1 (+ (/ 1 y) (/ 1 x))) 0.306 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.307 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.307 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.307 * [taylor]: Taking taylor expansion of y in y 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (/ 1 1) into 1 0.307 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.307 * [taylor]: Taking taylor expansion of x in y 0.307 * [backup-simplify]: Simplify x into x 0.307 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.307 * [backup-simplify]: Simplify (+ 1 0) into 1 0.307 * [backup-simplify]: Simplify (/ 1 1) into 1 0.307 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.307 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.307 * [taylor]: Taking taylor expansion of y in x 0.307 * [backup-simplify]: Simplify y into y 0.307 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (/ 1 1) into 1 0.308 * [backup-simplify]: Simplify (+ 0 1) into 1 0.308 * [backup-simplify]: Simplify (/ 1 1) into 1 0.308 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.308 * [taylor]: Taking taylor expansion of y in x 0.308 * [backup-simplify]: Simplify y into y 0.308 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.309 * [backup-simplify]: Simplify (+ 0 1) into 1 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.309 * [taylor]: Taking taylor expansion of 1 in y 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.310 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.310 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.310 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.310 * [taylor]: Taking taylor expansion of y in y 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (- 0) into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.312 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.312 * [taylor]: Taking taylor expansion of y in y 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (* 1 1) into 1 0.313 * [backup-simplify]: Simplify (/ 1 1) into 1 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (- 0) into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ -1 (+ (/ 1 y) (/ 1 x))) 0.316 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.316 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.317 * [taylor]: Taking taylor expansion of -1 in y 0.317 * [backup-simplify]: Simplify -1 into -1 0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.317 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.317 * [taylor]: Taking taylor expansion of y in y 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify (/ 1 1) into 1 0.317 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.317 * [taylor]: Taking taylor expansion of x in y 0.317 * [backup-simplify]: Simplify x into x 0.317 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.317 * [backup-simplify]: Simplify (+ 1 0) into 1 0.317 * [backup-simplify]: Simplify (/ -1 1) into -1 0.317 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.317 * [taylor]: Taking taylor expansion of -1 in x 0.318 * [backup-simplify]: Simplify -1 into -1 0.318 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.318 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.318 * [taylor]: Taking taylor expansion of y in x 0.318 * [backup-simplify]: Simplify y into y 0.318 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.318 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (/ 1 1) into 1 0.318 * [backup-simplify]: Simplify (+ 0 1) into 1 0.318 * [backup-simplify]: Simplify (/ -1 1) into -1 0.318 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.318 * [taylor]: Taking taylor expansion of -1 in x 0.318 * [backup-simplify]: Simplify -1 into -1 0.318 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.318 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.318 * [taylor]: Taking taylor expansion of y in x 0.318 * [backup-simplify]: Simplify y into y 0.319 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.319 * [taylor]: Taking taylor expansion of x in x 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 (+ 0 1) into 1 0.319 * [backup-simplify]: Simplify (/ -1 1) into -1 0.319 * [taylor]: Taking taylor expansion of -1 in y 0.319 * [backup-simplify]: Simplify -1 into -1 0.319 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (/ 1 y) 1)))) into (/ 1 y) 0.320 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify (/ 1 1) into 1 0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (+ 0 0) into 0 0.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (/ 1 y) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 2))) 0.326 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.326 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 1 into 1 0.326 * [backup-simplify]: Simplify (* 1 1) into 1 0.327 * [backup-simplify]: Simplify (/ 1 1) into 1 0.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (- 0) into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * * * [progress]: simplifying candidates 0.332 * [simplify]: Simplifying: (* 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) (- 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 0.332 * [simplify]: Sending expressions to egg_math: (* 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) (- 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 0.337 * * [simplify]: iteration 0 : 226 enodes (cost 346 ) 0.342 * * [simplify]: iteration 1 : 996 enodes (cost 296 ) 0.359 * * [simplify]: iteration 2 : 3433 enodes (cost 258 ) 0.388 * * [simplify]: iteration 3 : 5001 enodes (cost 258 ) 0.390 * * * [progress]: adding candidates to table 0.482 * * [progress]: iteration 3 / 4 0.482 * * * [progress]: picking best candidate 0.483 * * * * [pick]: Picked # 0.483 * * * [progress]: localizing error 0.489 * * * [progress]: generating rewritten candidates 0.489 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.499 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.509 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.568 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.588 * * * [progress]: generating series expansions 0.588 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.588 * [backup-simplify]: Simplify (sqrt (/ x (+ x y))) into (sqrt (/ x (+ x y))) 0.588 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 0.588 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 0.588 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.588 * [taylor]: Taking taylor expansion of x in y 0.588 * [backup-simplify]: Simplify x into x 0.588 * [taylor]: Taking taylor expansion of (+ x y) in y 0.588 * [taylor]: Taking taylor expansion of x in y 0.588 * [backup-simplify]: Simplify x into x 0.588 * [taylor]: Taking taylor expansion of y in y 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 1 into 1 0.588 * [backup-simplify]: Simplify (+ x 0) into x 0.588 * [backup-simplify]: Simplify (/ x x) into 1 0.589 * [backup-simplify]: Simplify (sqrt 1) into 1 0.589 * [backup-simplify]: Simplify (+ 0 1) into 1 0.589 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 1 x)))) into (- (/ 1 x)) 0.590 * [backup-simplify]: Simplify (/ (- (/ 1 x)) (* 2 (sqrt 1))) into (/ -1/2 x) 0.590 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 0.590 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 1 into 1 0.590 * [taylor]: Taking taylor expansion of (+ x y) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 1 into 1 0.590 * [taylor]: Taking taylor expansion of y in x 0.590 * [backup-simplify]: Simplify y into y 0.590 * [backup-simplify]: Simplify (+ 0 y) into y 0.590 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.590 * [backup-simplify]: Simplify (sqrt 0) into 0 0.591 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 0.591 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 0.591 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [taylor]: Taking taylor expansion of (+ x y) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [taylor]: Taking taylor expansion of y in x 0.591 * [backup-simplify]: Simplify y into y 0.591 * [backup-simplify]: Simplify (+ 0 y) into y 0.591 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.591 * [backup-simplify]: Simplify (sqrt 0) into 0 0.591 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 0.591 * [taylor]: Taking taylor expansion of 0 in y 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 0.592 * [taylor]: Taking taylor expansion of +nan.0 in y 0.592 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.592 * [taylor]: Taking taylor expansion of y in y 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify 1 into 1 0.592 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 0.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify (+ 1 0) into 1 0.593 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.593 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 2))) (pow (/ +nan.0 y) 2) (+)) (* 2 0)) into (/ +nan.0 (pow y 2)) 0.593 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 0.593 * [taylor]: Taking taylor expansion of +nan.0 in y 0.593 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.593 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.593 * [taylor]: Taking taylor expansion of y in y 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify 1 into 1 0.594 * [backup-simplify]: Simplify (* 1 1) into 1 0.594 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 0.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 0.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.596 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify (sqrt (/ (/ 1 x) (+ (/ 1 x) (/ 1 y)))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 0.600 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.600 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.600 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.600 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.600 * [taylor]: Taking taylor expansion of x in y 0.600 * [backup-simplify]: Simplify x into x 0.600 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.600 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.600 * [taylor]: Taking taylor expansion of y in y 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 1 into 1 0.601 * [backup-simplify]: Simplify (/ 1 1) into 1 0.601 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.601 * [taylor]: Taking taylor expansion of x in y 0.601 * [backup-simplify]: Simplify x into x 0.601 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.601 * [backup-simplify]: Simplify (+ 1 0) into 1 0.601 * [backup-simplify]: Simplify (* x 1) into x 0.601 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.601 * [backup-simplify]: Simplify (sqrt 0) into 0 0.602 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 0.602 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.602 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 1 into 1 0.602 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.602 * [taylor]: Taking taylor expansion of y in x 0.602 * [backup-simplify]: Simplify y into y 0.602 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 1 into 1 0.602 * [backup-simplify]: Simplify (/ 1 1) into 1 0.602 * [backup-simplify]: Simplify (+ 0 1) into 1 0.603 * [backup-simplify]: Simplify (* 0 1) into 0 0.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.603 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.603 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.604 * [backup-simplify]: Simplify (/ 1 1) into 1 0.604 * [backup-simplify]: Simplify (sqrt 1) into 1 0.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.605 * [backup-simplify]: Simplify (+ 0 0) into 0 0.605 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.606 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 0.606 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.606 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.606 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.606 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify 1 into 1 0.606 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.606 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.606 * [taylor]: Taking taylor expansion of y in x 0.606 * [backup-simplify]: Simplify y into y 0.606 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.606 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.606 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify 1 into 1 0.606 * [backup-simplify]: Simplify (/ 1 1) into 1 0.606 * [backup-simplify]: Simplify (+ 0 1) into 1 0.607 * [backup-simplify]: Simplify (* 0 1) into 0 0.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.607 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.607 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.607 * [backup-simplify]: Simplify (/ 1 1) into 1 0.608 * [backup-simplify]: Simplify (sqrt 1) into 1 0.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.608 * [backup-simplify]: Simplify (+ 0 0) into 0 0.609 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.609 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 0.609 * [taylor]: Taking taylor expansion of 1 in y 0.609 * [backup-simplify]: Simplify 1 into 1 0.609 * [backup-simplify]: Simplify 1 into 1 0.609 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.609 * [taylor]: Taking taylor expansion of -1/2 in y 0.610 * [backup-simplify]: Simplify -1/2 into -1/2 0.610 * [taylor]: Taking taylor expansion of y in y 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 1 into 1 0.610 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.611 * [backup-simplify]: Simplify (+ 0 0) into 0 0.612 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.613 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 0.613 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.613 * [taylor]: Taking taylor expansion of 3/8 in y 0.613 * [backup-simplify]: Simplify 3/8 into 3/8 0.613 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.613 * [taylor]: Taking taylor expansion of y in y 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 1 into 1 0.613 * [backup-simplify]: Simplify (* 1 1) into 1 0.613 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 0.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 0.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.615 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.617 * [backup-simplify]: Simplify (+ 0 0) into 0 0.618 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 0.619 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 0.619 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 0.619 * [taylor]: Taking taylor expansion of -5/16 in y 0.619 * [backup-simplify]: Simplify -5/16 into -5/16 0.619 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.619 * [taylor]: Taking taylor expansion of y in y 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 1 into 1 0.620 * [backup-simplify]: Simplify (* 1 1) into 1 0.620 * [backup-simplify]: Simplify (* 1 1) into 1 0.620 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 0.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 0.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 1 into 1 0.625 * [backup-simplify]: Simplify (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y))))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 0.625 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.625 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.625 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.625 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.625 * [taylor]: Taking taylor expansion of x in y 0.625 * [backup-simplify]: Simplify x into x 0.625 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.625 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.625 * [taylor]: Taking taylor expansion of y in y 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 1 into 1 0.626 * [backup-simplify]: Simplify (/ 1 1) into 1 0.626 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.626 * [taylor]: Taking taylor expansion of x in y 0.626 * [backup-simplify]: Simplify x into x 0.626 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.626 * [backup-simplify]: Simplify (+ 1 0) into 1 0.626 * [backup-simplify]: Simplify (* x 1) into x 0.626 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.626 * [backup-simplify]: Simplify (sqrt 0) into 0 0.626 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 0.627 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.627 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.627 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.627 * [taylor]: Taking taylor expansion of x in x 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 1 into 1 0.627 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.627 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.627 * [taylor]: Taking taylor expansion of y in x 0.627 * [backup-simplify]: Simplify y into y 0.627 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.627 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.627 * [taylor]: Taking taylor expansion of x in x 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 1 into 1 0.627 * [backup-simplify]: Simplify (/ 1 1) into 1 0.627 * [backup-simplify]: Simplify (+ 0 1) into 1 0.627 * [backup-simplify]: Simplify (* 0 1) into 0 0.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.628 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.628 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.628 * [backup-simplify]: Simplify (/ 1 1) into 1 0.629 * [backup-simplify]: Simplify (sqrt 1) into 1 0.629 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.629 * [backup-simplify]: Simplify (+ 0 0) into 0 0.630 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.630 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 0.630 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.630 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.630 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 1 into 1 0.630 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.630 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.630 * [taylor]: Taking taylor expansion of y in x 0.631 * [backup-simplify]: Simplify y into y 0.631 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.631 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [backup-simplify]: Simplify (/ 1 1) into 1 0.631 * [backup-simplify]: Simplify (+ 0 1) into 1 0.631 * [backup-simplify]: Simplify (* 0 1) into 0 0.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.632 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.632 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.632 * [backup-simplify]: Simplify (/ 1 1) into 1 0.633 * [backup-simplify]: Simplify (sqrt 1) into 1 0.633 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.633 * [backup-simplify]: Simplify (+ 0 0) into 0 0.634 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.634 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 0.634 * [taylor]: Taking taylor expansion of 1 in y 0.634 * [backup-simplify]: Simplify 1 into 1 0.634 * [backup-simplify]: Simplify 1 into 1 0.634 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.634 * [taylor]: Taking taylor expansion of -1/2 in y 0.634 * [backup-simplify]: Simplify -1/2 into -1/2 0.634 * [taylor]: Taking taylor expansion of y in y 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify 1 into 1 0.635 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.636 * [backup-simplify]: Simplify (+ 0 0) into 0 0.637 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.638 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 0.638 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.638 * [taylor]: Taking taylor expansion of 3/8 in y 0.638 * [backup-simplify]: Simplify 3/8 into 3/8 0.638 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.638 * [taylor]: Taking taylor expansion of y in y 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify 1 into 1 0.638 * [backup-simplify]: Simplify (* 1 1) into 1 0.638 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 0.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 0.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.640 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.642 * [backup-simplify]: Simplify (+ 0 0) into 0 0.643 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 0.644 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 0.644 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 0.644 * [taylor]: Taking taylor expansion of -5/16 in y 0.644 * [backup-simplify]: Simplify -5/16 into -5/16 0.644 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.644 * [taylor]: Taking taylor expansion of y in y 0.644 * [backup-simplify]: Simplify 0 into 0 0.644 * [backup-simplify]: Simplify 1 into 1 0.644 * [backup-simplify]: Simplify (* 1 1) into 1 0.644 * [backup-simplify]: Simplify (* 1 1) into 1 0.645 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 0.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 0.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify 1 into 1 0.649 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.649 * [backup-simplify]: Simplify (sqrt (/ x (+ x y))) into (sqrt (/ x (+ x y))) 0.649 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 0.649 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 0.649 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.649 * [taylor]: Taking taylor expansion of x in y 0.649 * [backup-simplify]: Simplify x into x 0.649 * [taylor]: Taking taylor expansion of (+ x y) in y 0.649 * [taylor]: Taking taylor expansion of x in y 0.649 * [backup-simplify]: Simplify x into x 0.649 * [taylor]: Taking taylor expansion of y in y 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify 1 into 1 0.649 * [backup-simplify]: Simplify (+ x 0) into x 0.649 * [backup-simplify]: Simplify (/ x x) into 1 0.649 * [backup-simplify]: Simplify (sqrt 1) into 1 0.650 * [backup-simplify]: Simplify (+ 0 1) into 1 0.650 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 1 x)))) into (- (/ 1 x)) 0.650 * [backup-simplify]: Simplify (/ (- (/ 1 x)) (* 2 (sqrt 1))) into (/ -1/2 x) 0.650 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 0.650 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 1 into 1 0.650 * [taylor]: Taking taylor expansion of (+ x y) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 1 into 1 0.650 * [taylor]: Taking taylor expansion of y in x 0.650 * [backup-simplify]: Simplify y into y 0.650 * [backup-simplify]: Simplify (+ 0 y) into y 0.650 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.651 * [backup-simplify]: Simplify (sqrt 0) into 0 0.651 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 0.651 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 0.651 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 1 into 1 0.651 * [taylor]: Taking taylor expansion of (+ x y) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 1 into 1 0.651 * [taylor]: Taking taylor expansion of y in x 0.651 * [backup-simplify]: Simplify y into y 0.651 * [backup-simplify]: Simplify (+ 0 y) into y 0.651 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.651 * [backup-simplify]: Simplify (sqrt 0) into 0 0.652 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 0.652 * [taylor]: Taking taylor expansion of 0 in y 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 0.652 * [taylor]: Taking taylor expansion of +nan.0 in y 0.652 * [backup-simplify]: Simplify +nan.0 into +nan.0 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 (/ +nan.0 1) into +nan.0 0.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 0.653 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify (+ 1 0) into 1 0.653 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.654 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 2))) (pow (/ +nan.0 y) 2) (+)) (* 2 0)) into (/ +nan.0 (pow y 2)) 0.654 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 0.654 * [taylor]: Taking taylor expansion of +nan.0 in y 0.654 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.654 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.654 * [taylor]: Taking taylor expansion of y in y 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 (/ +nan.0 1) into +nan.0 0.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 0.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.656 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.657 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify (sqrt (/ (/ 1 x) (+ (/ 1 x) (/ 1 y)))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 0.657 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.657 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.657 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.657 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.657 * [taylor]: Taking taylor expansion of x in y 0.657 * [backup-simplify]: Simplify x into x 0.657 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.657 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.657 * [taylor]: Taking taylor expansion of y in y 0.657 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify 1 into 1 0.657 * [backup-simplify]: Simplify (/ 1 1) into 1 0.657 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.657 * [taylor]: Taking taylor expansion of x in y 0.657 * [backup-simplify]: Simplify x into x 0.657 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.658 * [backup-simplify]: Simplify (+ 1 0) into 1 0.658 * [backup-simplify]: Simplify (* x 1) into x 0.658 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.658 * [backup-simplify]: Simplify (sqrt 0) into 0 0.658 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 0.658 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.658 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.658 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 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 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.658 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.658 * [taylor]: Taking taylor expansion of y in x 0.658 * [backup-simplify]: Simplify y into y 0.659 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [backup-simplify]: Simplify 0 into 0 0.659 * [backup-simplify]: Simplify 1 into 1 0.659 * [backup-simplify]: Simplify (/ 1 1) into 1 0.659 * [backup-simplify]: Simplify (+ 0 1) into 1 0.659 * [backup-simplify]: Simplify (* 0 1) into 0 0.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.660 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.660 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.660 * [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 0.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.661 * [backup-simplify]: Simplify (+ 0 0) into 0 0.662 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.662 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 0.662 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.662 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.662 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.662 * [backup-simplify]: Simplify 0 into 0 0.662 * [backup-simplify]: Simplify 1 into 1 0.662 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.662 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.662 * [taylor]: Taking taylor expansion of y in x 0.662 * [backup-simplify]: Simplify y into y 0.662 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.662 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.662 * [backup-simplify]: Simplify 0 into 0 0.662 * [backup-simplify]: Simplify 1 into 1 0.663 * [backup-simplify]: Simplify (/ 1 1) into 1 0.663 * [backup-simplify]: Simplify (+ 0 1) into 1 0.663 * [backup-simplify]: Simplify (* 0 1) into 0 0.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.663 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.664 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.664 * [backup-simplify]: Simplify (/ 1 1) into 1 0.664 * [backup-simplify]: Simplify (sqrt 1) into 1 0.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.665 * [backup-simplify]: Simplify (+ 0 0) into 0 0.665 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.666 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 0.666 * [taylor]: Taking taylor expansion of 1 in y 0.666 * [backup-simplify]: Simplify 1 into 1 0.666 * [backup-simplify]: Simplify 1 into 1 0.666 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.666 * [taylor]: Taking taylor expansion of -1/2 in y 0.666 * [backup-simplify]: Simplify -1/2 into -1/2 0.666 * [taylor]: Taking taylor expansion of y in y 0.666 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify 1 into 1 0.666 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.667 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.668 * [backup-simplify]: Simplify (+ 0 0) into 0 0.668 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.669 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 0.669 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.669 * [taylor]: Taking taylor expansion of 3/8 in y 0.669 * [backup-simplify]: Simplify 3/8 into 3/8 0.669 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.669 * [taylor]: Taking taylor expansion of y in y 0.669 * [backup-simplify]: Simplify 0 into 0 0.669 * [backup-simplify]: Simplify 1 into 1 0.670 * [backup-simplify]: Simplify (* 1 1) into 1 0.670 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 0.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 0.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.672 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.672 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.673 * [backup-simplify]: Simplify (+ 0 0) into 0 0.674 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 0.675 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 0.675 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 0.675 * [taylor]: Taking taylor expansion of -5/16 in y 0.675 * [backup-simplify]: Simplify -5/16 into -5/16 0.675 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.675 * [taylor]: Taking taylor expansion of y in y 0.675 * [backup-simplify]: Simplify 0 into 0 0.676 * [backup-simplify]: Simplify 1 into 1 0.676 * [backup-simplify]: Simplify (* 1 1) into 1 0.676 * [backup-simplify]: Simplify (* 1 1) into 1 0.676 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 0.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 0.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify 1 into 1 0.680 * [backup-simplify]: Simplify (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y))))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 0.681 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.681 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.681 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.681 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.681 * [taylor]: Taking taylor expansion of x in y 0.681 * [backup-simplify]: Simplify x into x 0.681 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.681 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.681 * [taylor]: Taking taylor expansion of y in y 0.681 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify 1 into 1 0.681 * [backup-simplify]: Simplify (/ 1 1) into 1 0.681 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.681 * [taylor]: Taking taylor expansion of x in y 0.681 * [backup-simplify]: Simplify x into x 0.681 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.681 * [backup-simplify]: Simplify (+ 1 0) into 1 0.681 * [backup-simplify]: Simplify (* x 1) into x 0.681 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.682 * [backup-simplify]: Simplify (sqrt 0) into 0 0.682 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 0.682 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.682 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.682 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 1 into 1 0.682 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.682 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.682 * [taylor]: Taking taylor expansion of y in x 0.682 * [backup-simplify]: Simplify y into y 0.682 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.682 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.682 * [taylor]: Taking taylor expansion of x in x 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 0.683 * [backup-simplify]: Simplify (+ 0 1) into 1 0.683 * [backup-simplify]: Simplify (* 0 1) into 0 0.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.683 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.684 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.684 * [backup-simplify]: Simplify (/ 1 1) into 1 0.684 * [backup-simplify]: Simplify (sqrt 1) into 1 0.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.685 * [backup-simplify]: Simplify (+ 0 0) into 0 0.685 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.686 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 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 0.686 * [taylor]: Taking taylor expansion of x in x 0.686 * [backup-simplify]: Simplify 0 into 0 0.686 * [backup-simplify]: Simplify 1 into 1 0.686 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.686 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.686 * [taylor]: Taking taylor expansion of y in x 0.686 * [backup-simplify]: Simplify y into y 0.686 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.686 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.686 * [taylor]: Taking taylor expansion of x in x 0.686 * [backup-simplify]: Simplify 0 into 0 0.686 * [backup-simplify]: Simplify 1 into 1 0.686 * [backup-simplify]: Simplify (/ 1 1) into 1 0.686 * [backup-simplify]: Simplify (+ 0 1) into 1 0.687 * [backup-simplify]: Simplify (* 0 1) into 0 0.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.687 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.687 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.688 * [backup-simplify]: Simplify (/ 1 1) into 1 0.688 * [backup-simplify]: Simplify (sqrt 1) into 1 0.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.691 * [backup-simplify]: Simplify (+ 0 0) into 0 0.692 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.692 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 0.692 * [taylor]: Taking taylor expansion of 1 in y 0.692 * [backup-simplify]: Simplify 1 into 1 0.692 * [backup-simplify]: Simplify 1 into 1 0.692 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.692 * [taylor]: Taking taylor expansion of -1/2 in y 0.692 * [backup-simplify]: Simplify -1/2 into -1/2 0.692 * [taylor]: Taking taylor expansion of y in y 0.692 * [backup-simplify]: Simplify 0 into 0 0.692 * [backup-simplify]: Simplify 1 into 1 0.692 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.694 * [backup-simplify]: Simplify (+ 0 0) into 0 0.694 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.695 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 0.696 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.696 * [taylor]: Taking taylor expansion of 3/8 in y 0.696 * [backup-simplify]: Simplify 3/8 into 3/8 0.696 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.696 * [taylor]: Taking taylor expansion of y in y 0.696 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify 1 into 1 0.696 * [backup-simplify]: Simplify (* 1 1) into 1 0.696 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 0.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 0.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify 0 into 0 0.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.699 * [backup-simplify]: Simplify (+ 0 0) into 0 0.700 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 0.701 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 0.701 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 0.701 * [taylor]: Taking taylor expansion of -5/16 in y 0.701 * [backup-simplify]: Simplify -5/16 into -5/16 0.701 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.701 * [taylor]: Taking taylor expansion of y in y 0.701 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify 1 into 1 0.702 * [backup-simplify]: Simplify (* 1 1) into 1 0.702 * [backup-simplify]: Simplify (* 1 1) into 1 0.702 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 0.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 0.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.706 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify 1 into 1 0.706 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.707 * [backup-simplify]: Simplify (* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y)))) into (/ x (+ x y)) 0.707 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.707 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.707 * [taylor]: Taking taylor expansion of x in y 0.707 * [backup-simplify]: Simplify x into x 0.707 * [taylor]: Taking taylor expansion of (+ x y) in y 0.707 * [taylor]: Taking taylor expansion of x in y 0.707 * [backup-simplify]: Simplify x into x 0.707 * [taylor]: Taking taylor expansion of y in y 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 1 into 1 0.707 * [backup-simplify]: Simplify (+ x 0) into x 0.707 * [backup-simplify]: Simplify (/ x x) into 1 0.707 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 1 into 1 0.707 * [taylor]: Taking taylor expansion of (+ x y) in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 1 into 1 0.707 * [taylor]: Taking taylor expansion of y in x 0.707 * [backup-simplify]: Simplify y into y 0.707 * [backup-simplify]: Simplify (+ 0 y) into y 0.707 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.707 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 1 into 1 0.707 * [taylor]: Taking taylor expansion of (+ x y) in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 1 into 1 0.707 * [taylor]: Taking taylor expansion of y in x 0.707 * [backup-simplify]: Simplify y into y 0.707 * [backup-simplify]: Simplify (+ 0 y) into y 0.707 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.707 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.707 * [taylor]: Taking taylor expansion of y in y 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 1 into 1 0.707 * [backup-simplify]: Simplify (/ 1 1) into 1 0.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify (+ 1 0) into 1 0.708 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.708 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.708 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.708 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.708 * [taylor]: Taking taylor expansion of y in y 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify (* 1 1) into 1 0.709 * [backup-simplify]: Simplify (/ 1 1) into 1 0.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.711 * [backup-simplify]: Simplify (- 0) into 0 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify (+ 0 0) into 0 0.712 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 0.712 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.712 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.712 * [taylor]: Taking taylor expansion of y in y 0.712 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify 1 into 1 0.712 * [backup-simplify]: Simplify (* 1 1) into 1 0.712 * [backup-simplify]: Simplify (* 1 1) into 1 0.712 * [backup-simplify]: Simplify (/ 1 1) into 1 0.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.716 * [backup-simplify]: Simplify 0 into 0 0.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.717 * [backup-simplify]: Simplify (- 0) into 0 0.717 * [backup-simplify]: Simplify 0 into 0 0.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.718 * [backup-simplify]: Simplify 0 into 0 0.718 * [backup-simplify]: Simplify 0 into 0 0.718 * [backup-simplify]: Simplify (* (sqrt (/ (/ 1 x) (+ (/ 1 x) (/ 1 y)))) (sqrt (/ (/ 1 x) (+ (/ 1 x) (/ 1 y))))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.718 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.718 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.718 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.718 * [taylor]: Taking taylor expansion of x in y 0.718 * [backup-simplify]: Simplify x into x 0.718 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.718 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.718 * [taylor]: Taking taylor expansion of y in y 0.718 * [backup-simplify]: Simplify 0 into 0 0.718 * [backup-simplify]: Simplify 1 into 1 0.719 * [backup-simplify]: Simplify (/ 1 1) into 1 0.719 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.719 * [taylor]: Taking taylor expansion of x in y 0.719 * [backup-simplify]: Simplify x into x 0.719 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.719 * [backup-simplify]: Simplify (+ 1 0) into 1 0.719 * [backup-simplify]: Simplify (* x 1) into x 0.719 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.719 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.719 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.719 * [taylor]: Taking taylor expansion of x in x 0.719 * [backup-simplify]: Simplify 0 into 0 0.719 * [backup-simplify]: Simplify 1 into 1 0.719 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.719 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.719 * [taylor]: Taking taylor expansion of y in x 0.719 * [backup-simplify]: Simplify y into y 0.719 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.719 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.719 * [taylor]: Taking taylor expansion of x in x 0.719 * [backup-simplify]: Simplify 0 into 0 0.719 * [backup-simplify]: Simplify 1 into 1 0.719 * [backup-simplify]: Simplify (/ 1 1) into 1 0.720 * [backup-simplify]: Simplify (+ 0 1) into 1 0.720 * [backup-simplify]: Simplify (* 0 1) into 0 0.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.721 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.721 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.721 * [backup-simplify]: Simplify (/ 1 1) into 1 0.721 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.721 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify 1 into 1 0.721 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.721 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.721 * [taylor]: Taking taylor expansion of y in x 0.721 * [backup-simplify]: Simplify y into y 0.721 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.721 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify 1 into 1 0.722 * [backup-simplify]: Simplify (/ 1 1) into 1 0.722 * [backup-simplify]: Simplify (+ 0 1) into 1 0.722 * [backup-simplify]: Simplify (* 0 1) into 0 0.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.722 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.723 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.723 * [backup-simplify]: Simplify (/ 1 1) into 1 0.723 * [taylor]: Taking taylor expansion of 1 in y 0.723 * [backup-simplify]: Simplify 1 into 1 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.724 * [backup-simplify]: Simplify (+ 0 0) into 0 0.724 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.724 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.724 * [taylor]: Taking taylor expansion of (/ 1 y) 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 (- (+ (* 1 (/ 0 1)))) into 0 0.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.726 * [backup-simplify]: Simplify (- 0) into 0 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.727 * [backup-simplify]: Simplify (+ 0 0) into 0 0.727 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.728 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.728 * [taylor]: Taking taylor expansion of y in y 0.728 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify 1 into 1 0.728 * [backup-simplify]: Simplify (* 1 1) into 1 0.728 * [backup-simplify]: Simplify (/ 1 1) into 1 0.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.731 * [backup-simplify]: Simplify (- 0) into 0 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify (* (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y))))) (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y)))))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.732 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.732 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.732 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.732 * [taylor]: Taking taylor expansion of x in y 0.732 * [backup-simplify]: Simplify x into x 0.732 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.732 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.732 * [taylor]: Taking taylor expansion of y in y 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 1 into 1 0.732 * [backup-simplify]: Simplify (/ 1 1) into 1 0.732 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.732 * [taylor]: Taking taylor expansion of x in y 0.732 * [backup-simplify]: Simplify x into x 0.732 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.733 * [backup-simplify]: Simplify (+ 1 0) into 1 0.733 * [backup-simplify]: Simplify (* x 1) into x 0.733 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.733 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.733 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.733 * [backup-simplify]: Simplify 0 into 0 0.733 * [backup-simplify]: Simplify 1 into 1 0.733 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.733 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.733 * [taylor]: Taking taylor expansion of y in x 0.733 * [backup-simplify]: Simplify y into y 0.733 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.733 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.733 * [backup-simplify]: Simplify 0 into 0 0.733 * [backup-simplify]: Simplify 1 into 1 0.733 * [backup-simplify]: Simplify (/ 1 1) into 1 0.733 * [backup-simplify]: Simplify (+ 0 1) into 1 0.734 * [backup-simplify]: Simplify (* 0 1) into 0 0.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.734 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.734 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.734 * [backup-simplify]: Simplify (/ 1 1) into 1 0.734 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.734 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 1 into 1 0.735 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.735 * [taylor]: Taking taylor expansion of y in x 0.735 * [backup-simplify]: Simplify y into y 0.735 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.735 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 1 into 1 0.735 * [backup-simplify]: Simplify (/ 1 1) into 1 0.735 * [backup-simplify]: Simplify (+ 0 1) into 1 0.735 * [backup-simplify]: Simplify (* 0 1) into 0 0.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.736 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.736 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.736 * [backup-simplify]: Simplify (/ 1 1) into 1 0.736 * [taylor]: Taking taylor expansion of 1 in y 0.736 * [backup-simplify]: Simplify 1 into 1 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.737 * [backup-simplify]: Simplify (+ 0 0) into 0 0.738 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.738 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.738 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.738 * [taylor]: Taking taylor expansion of y in y 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 1 into 1 0.738 * [backup-simplify]: Simplify (/ 1 1) into 1 0.738 * [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 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.740 * [backup-simplify]: Simplify (+ 0 0) into 0 0.741 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.741 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.741 * [taylor]: Taking taylor expansion of (pow y 2) 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 0.742 * [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 1)) into 0 0.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.744 * [backup-simplify]: Simplify 0 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 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.745 * [backup-simplify]: Simplify (/ x (+ x y)) into (/ x (+ x y)) 0.745 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.745 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.745 * [taylor]: Taking taylor expansion of x in y 0.745 * [backup-simplify]: Simplify x into x 0.745 * [taylor]: Taking taylor expansion of (+ x y) in y 0.745 * [taylor]: Taking taylor expansion of x in y 0.745 * [backup-simplify]: Simplify x into x 0.745 * [taylor]: Taking taylor expansion of y in y 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 1 into 1 0.745 * [backup-simplify]: Simplify (+ x 0) into x 0.745 * [backup-simplify]: Simplify (/ x x) into 1 0.745 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.745 * [taylor]: Taking taylor expansion of x in x 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 1 into 1 0.745 * [taylor]: Taking taylor expansion of (+ x y) in x 0.745 * [taylor]: Taking taylor expansion of x in x 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 1 into 1 0.745 * [taylor]: Taking taylor expansion of y in x 0.745 * [backup-simplify]: Simplify y into y 0.745 * [backup-simplify]: Simplify (+ 0 y) into y 0.745 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.745 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.745 * [taylor]: Taking taylor expansion of x in x 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 1 into 1 0.746 * [taylor]: Taking taylor expansion of (+ x y) in x 0.746 * [taylor]: Taking taylor expansion of x in x 0.746 * [backup-simplify]: Simplify 0 into 0 0.746 * [backup-simplify]: Simplify 1 into 1 0.746 * [taylor]: Taking taylor expansion of y in x 0.746 * [backup-simplify]: Simplify y into y 0.746 * [backup-simplify]: Simplify (+ 0 y) into y 0.746 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.746 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.746 * [taylor]: Taking taylor expansion of y in y 0.746 * [backup-simplify]: Simplify 0 into 0 0.746 * [backup-simplify]: Simplify 1 into 1 0.746 * [backup-simplify]: Simplify (/ 1 1) into 1 0.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.746 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify (+ 1 0) into 1 0.747 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.747 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.747 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.747 * [taylor]: Taking taylor expansion of (pow y 2) 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 0.747 * [backup-simplify]: Simplify (* 1 1) into 1 0.747 * [backup-simplify]: Simplify (/ 1 1) into 1 0.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.749 * [backup-simplify]: Simplify (- 0) into 0 0.749 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify (+ 0 0) into 0 0.750 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 0.750 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.750 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.750 * [taylor]: Taking taylor expansion of y in y 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 (* 1 1) into 1 0.751 * [backup-simplify]: Simplify (/ 1 1) into 1 0.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.756 * [backup-simplify]: Simplify (- 0) into 0 0.756 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify (/ (/ 1 x) (+ (/ 1 x) (/ 1 y))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.757 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.757 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.757 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.757 * [taylor]: Taking taylor expansion of x in y 0.757 * [backup-simplify]: Simplify x into x 0.757 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.757 * [taylor]: Taking taylor expansion of (/ 1 y) 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 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.757 * [taylor]: Taking taylor expansion of x in y 0.757 * [backup-simplify]: Simplify x into x 0.757 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.758 * [backup-simplify]: Simplify (+ 1 0) into 1 0.758 * [backup-simplify]: Simplify (* x 1) into x 0.758 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.758 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.758 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.758 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.758 * [taylor]: Taking taylor expansion of y in x 0.758 * [backup-simplify]: Simplify y into y 0.758 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.758 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [backup-simplify]: Simplify (/ 1 1) into 1 0.758 * [backup-simplify]: Simplify (+ 0 1) into 1 0.759 * [backup-simplify]: Simplify (* 0 1) into 0 0.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.759 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.759 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.759 * [backup-simplify]: Simplify (/ 1 1) into 1 0.759 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.760 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.760 * [taylor]: Taking taylor expansion of x in x 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 1 into 1 0.760 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.760 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.760 * [taylor]: Taking taylor expansion of y in x 0.760 * [backup-simplify]: Simplify y into y 0.760 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.760 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.760 * [taylor]: Taking taylor expansion of x in x 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 1 into 1 0.760 * [backup-simplify]: Simplify (/ 1 1) into 1 0.760 * [backup-simplify]: Simplify (+ 0 1) into 1 0.760 * [backup-simplify]: Simplify (* 0 1) into 0 0.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.761 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.761 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.761 * [backup-simplify]: Simplify (/ 1 1) into 1 0.761 * [taylor]: Taking taylor expansion of 1 in y 0.761 * [backup-simplify]: Simplify 1 into 1 0.761 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.762 * [backup-simplify]: Simplify (+ 0 0) into 0 0.763 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.763 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.763 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.763 * [taylor]: Taking taylor expansion of y in y 0.763 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify 1 into 1 0.763 * [backup-simplify]: Simplify (/ 1 1) into 1 0.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.764 * [backup-simplify]: Simplify (- 0) into 0 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.765 * [backup-simplify]: Simplify (+ 0 0) into 0 0.766 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.766 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.766 * [taylor]: Taking taylor expansion of y in y 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify 1 into 1 0.766 * [backup-simplify]: Simplify (* 1 1) into 1 0.767 * [backup-simplify]: Simplify (/ 1 1) into 1 0.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.769 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.770 * [backup-simplify]: Simplify (- 0) into 0 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.770 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.770 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.770 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.770 * [taylor]: Taking taylor expansion of x in y 0.770 * [backup-simplify]: Simplify x into x 0.770 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.770 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.770 * [taylor]: Taking taylor expansion of y in y 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify 1 into 1 0.771 * [backup-simplify]: Simplify (/ 1 1) into 1 0.771 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.771 * [taylor]: Taking taylor expansion of x in y 0.771 * [backup-simplify]: Simplify x into x 0.771 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.771 * [backup-simplify]: Simplify (+ 1 0) into 1 0.771 * [backup-simplify]: Simplify (* x 1) into x 0.771 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.771 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.771 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.771 * [taylor]: Taking taylor expansion of x in x 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify 1 into 1 0.771 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.771 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.771 * [taylor]: Taking taylor expansion of y in x 0.771 * [backup-simplify]: Simplify y into y 0.771 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.771 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.771 * [taylor]: Taking taylor expansion of x in x 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify 1 into 1 0.772 * [backup-simplify]: Simplify (/ 1 1) into 1 0.772 * [backup-simplify]: Simplify (+ 0 1) into 1 0.772 * [backup-simplify]: Simplify (* 0 1) into 0 0.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.772 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.773 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.773 * [backup-simplify]: Simplify (/ 1 1) into 1 0.773 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.773 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.773 * [taylor]: Taking taylor expansion of x in x 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify 1 into 1 0.773 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.773 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.773 * [taylor]: Taking taylor expansion of y in x 0.773 * [backup-simplify]: Simplify y into y 0.773 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.773 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.773 * [taylor]: Taking taylor expansion of x in x 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify 1 into 1 0.773 * [backup-simplify]: Simplify (/ 1 1) into 1 0.774 * [backup-simplify]: Simplify (+ 0 1) into 1 0.774 * [backup-simplify]: Simplify (* 0 1) into 0 0.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.774 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.775 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.775 * [backup-simplify]: Simplify (/ 1 1) into 1 0.775 * [taylor]: Taking taylor expansion of 1 in y 0.775 * [backup-simplify]: Simplify 1 into 1 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.776 * [backup-simplify]: Simplify (+ 0 0) into 0 0.778 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.779 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.779 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.779 * [taylor]: Taking taylor expansion of y in y 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify 1 into 1 0.779 * [backup-simplify]: Simplify (/ 1 1) into 1 0.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.780 * [backup-simplify]: Simplify (- 0) into 0 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.781 * [backup-simplify]: Simplify (+ 0 0) into 0 0.781 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.782 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.782 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.782 * [taylor]: Taking taylor expansion of y in y 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 1 into 1 0.782 * [backup-simplify]: Simplify (* 1 1) into 1 0.782 * [backup-simplify]: Simplify (/ 1 1) into 1 0.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.785 * [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 0.786 * [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 0 into 0 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * * * [progress]: simplifying candidates 0.789 * [simplify]: Simplifying: (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)))) (sqrt (/ x (+ x y)))) (sqrt (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))) (sqrt (cbrt (/ x (+ x y)))) (sqrt (sqrt (/ x (+ x y)))) (sqrt (sqrt (/ x (+ x y)))) (sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (sqrt (/ (cbrt x) (cbrt (+ x y)))) (sqrt (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y)))) (sqrt (/ 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[simplify]: iteration 1 : 1426 enodes (cost 1131 ) 0.832 * * [simplify]: iteration 2 : 5001 enodes (cost 1112 ) 0.838 * * * [progress]: adding candidates to table 1.182 * [progress]: [Phase 3 of 3] Extracting. 1.182 * * [regime]: Finding splitpoints for: (# # #) 1.182 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ x y)) y x) 1.182 * * * * [regimes]: Trying to branch on (/ x (+ x y)) from (# # #) 1.194 * * * * [regimes]: Trying to branch on y from (# # #) 1.205 * * * * [regimes]: Trying to branch on x from (# # #) 1.220 * * * [regime]: Found split indices: #