6.654 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying: (/ x (+ y x)) 0.012 * [simplify]: Sending expressions to egg_math: (/ h0 (+ h1 h0)) 0.014 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.015 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.016 * * [progress]: iteration 1 / 4 0.016 * * * [progress]: picking best candidate 0.017 * * * * [pick]: Picked # 0.017 * * * [progress]: localizing error 0.020 * * * [progress]: generating rewritten candidates 0.020 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.033 * * * [progress]: generating series expansions 0.033 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.033 * [backup-simplify]: Simplify (/ x (+ y x)) into (/ x (+ x y)) 0.033 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.033 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.033 * [taylor]: Taking taylor expansion of x in y 0.033 * [backup-simplify]: Simplify x into x 0.033 * [taylor]: Taking taylor expansion of (+ x y) in y 0.033 * [taylor]: Taking taylor expansion of x in y 0.033 * [backup-simplify]: Simplify x into x 0.033 * [taylor]: Taking taylor expansion of y in y 0.033 * [backup-simplify]: Simplify 0 into 0 0.033 * [backup-simplify]: Simplify 1 into 1 0.033 * [backup-simplify]: Simplify (+ x 0) into x 0.033 * [backup-simplify]: Simplify (/ x x) into 1 0.033 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [backup-simplify]: Simplify 0 into 0 0.033 * [backup-simplify]: Simplify 1 into 1 0.033 * [taylor]: Taking taylor expansion of (+ x y) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [backup-simplify]: Simplify 0 into 0 0.033 * [backup-simplify]: Simplify 1 into 1 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [backup-simplify]: Simplify y into y 0.033 * [backup-simplify]: Simplify (+ 0 y) into y 0.033 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.033 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [backup-simplify]: Simplify 0 into 0 0.033 * [backup-simplify]: Simplify 1 into 1 0.033 * [taylor]: Taking taylor expansion of (+ x y) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [backup-simplify]: Simplify 0 into 0 0.033 * [backup-simplify]: Simplify 1 into 1 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [backup-simplify]: Simplify y into y 0.033 * [backup-simplify]: Simplify (+ 0 y) into y 0.033 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.034 * [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 0.034 * [backup-simplify]: Simplify (/ 1 1) into 1 0.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.034 * [backup-simplify]: Simplify 0 into 0 0.035 * [backup-simplify]: Simplify (+ 1 0) into 1 0.035 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.035 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.035 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.035 * [backup-simplify]: Simplify 0 into 0 0.035 * [backup-simplify]: Simplify 1 into 1 0.035 * [backup-simplify]: Simplify (* 1 1) into 1 0.035 * [backup-simplify]: Simplify (/ 1 1) into 1 0.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.037 * [backup-simplify]: Simplify (- 0) into 0 0.037 * [backup-simplify]: Simplify 0 into 0 0.038 * [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 0) into 0 0.038 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.038 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [backup-simplify]: Simplify 0 into 0 0.038 * [backup-simplify]: Simplify 1 into 1 0.039 * [backup-simplify]: Simplify (* 1 1) into 1 0.039 * [backup-simplify]: Simplify (* 1 1) into 1 0.039 * [backup-simplify]: Simplify (/ 1 1) into 1 0.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.043 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.044 * [backup-simplify]: Simplify (- 0) into 0 0.044 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.045 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.045 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.045 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [backup-simplify]: Simplify x into x 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.045 * [backup-simplify]: Simplify (/ 1 1) into 1 0.045 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [backup-simplify]: Simplify x into x 0.046 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.046 * [backup-simplify]: Simplify (+ 1 0) into 1 0.046 * [backup-simplify]: Simplify (* x 1) into x 0.046 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.046 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.046 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 1 into 1 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [backup-simplify]: Simplify y into y 0.046 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 1 into 1 0.046 * [backup-simplify]: Simplify (/ 1 1) into 1 0.047 * [backup-simplify]: Simplify (+ 0 1) into 1 0.047 * [backup-simplify]: Simplify (* 0 1) into 0 0.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.047 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.047 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.048 * [backup-simplify]: Simplify (/ 1 1) into 1 0.048 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.048 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 1 into 1 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [backup-simplify]: Simplify y into y 0.048 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 1 into 1 0.048 * [backup-simplify]: Simplify (/ 1 1) into 1 0.048 * [backup-simplify]: Simplify (+ 0 1) into 1 0.049 * [backup-simplify]: Simplify (* 0 1) into 0 0.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.049 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.049 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.050 * [backup-simplify]: Simplify (/ 1 1) into 1 0.050 * [taylor]: Taking taylor expansion of 1 in y 0.050 * [backup-simplify]: Simplify 1 into 1 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.050 * [backup-simplify]: Simplify (+ 0 0) into 0 0.051 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.051 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify (/ 1 1) into 1 0.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.052 * [backup-simplify]: Simplify (- 0) into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.053 * [backup-simplify]: Simplify (+ 0 0) into 0 0.054 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.055 * [backup-simplify]: Simplify (* 1 1) into 1 0.055 * [backup-simplify]: Simplify (/ 1 1) into 1 0.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.058 * [backup-simplify]: Simplify (- 0) into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.059 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.059 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.059 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.059 * [taylor]: Taking taylor expansion of x in y 0.059 * [backup-simplify]: Simplify x into x 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 1 into 1 0.059 * [backup-simplify]: Simplify (/ 1 1) into 1 0.059 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.059 * [taylor]: Taking taylor expansion of x in y 0.059 * [backup-simplify]: Simplify x into x 0.059 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.059 * [backup-simplify]: Simplify (+ 1 0) into 1 0.059 * [backup-simplify]: Simplify (* x 1) into x 0.059 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.059 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.059 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 1 into 1 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [backup-simplify]: Simplify y into y 0.060 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.060 * [taylor]: Taking taylor expansion of x in x 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 0.060 * [backup-simplify]: Simplify (+ 0 1) into 1 0.060 * [backup-simplify]: Simplify (* 0 1) into 0 0.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.061 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.061 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.061 * [backup-simplify]: Simplify (/ 1 1) into 1 0.061 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.061 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [backup-simplify]: Simplify y into y 0.061 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.062 * [backup-simplify]: Simplify (/ 1 1) into 1 0.062 * [backup-simplify]: Simplify (+ 0 1) into 1 0.062 * [backup-simplify]: Simplify (* 0 1) into 0 0.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.063 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.063 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.063 * [backup-simplify]: Simplify (/ 1 1) into 1 0.063 * [taylor]: Taking taylor expansion of 1 in y 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.064 * [backup-simplify]: Simplify (+ 0 0) into 0 0.064 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.065 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [backup-simplify]: Simplify (/ 1 1) into 1 0.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.066 * [backup-simplify]: Simplify (- 0) into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.067 * [backup-simplify]: Simplify (+ 0 0) into 0 0.068 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.068 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.069 * [backup-simplify]: Simplify (* 1 1) into 1 0.069 * [backup-simplify]: Simplify (/ 1 1) into 1 0.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 0 into 0 0.072 * * * [progress]: simplifying candidates 0.073 * [simplify]: Simplifying: (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (- (log x) (log (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (/ (* (* x x) x) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x))) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (/ 1 1) (/ x (+ y x)) (/ 1 1) (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) (/ x 1) (/ x 1) (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0.073 * [simplify]: Sending expressions to egg_math: (expm1 (/ h0 (+ h1 h0))) (log1p (/ h0 (+ h1 h0))) (- (log h0) (log (+ h1 h0))) (log (/ h0 (+ h1 h0))) (exp (/ h0 (+ h1 h0))) (/ (* (* h0 h0) h0) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (* (cbrt (/ h0 (+ h1 h0))) (cbrt (/ h0 (+ h1 h0)))) (cbrt (/ h0 (+ h1 h0))) (* (* (/ h0 (+ h1 h0)) (/ h0 (+ h1 h0))) (/ h0 (+ h1 h0))) (sqrt (/ h0 (+ h1 h0))) (sqrt (/ h0 (+ h1 h0))) (- h0) (- (+ h1 h0)) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ (cbrt h0) (cbrt (+ h1 h0))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (+ h1 h0))) (/ (cbrt h0) (sqrt (+ h1 h0))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ h1 h0)) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ h1 h0)) (/ (sqrt h0) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ (sqrt h0) (cbrt (+ h1 h0))) (/ (sqrt h0) (sqrt (+ h1 h0))) (/ (sqrt h0) (sqrt (+ h1 h0))) (/ (sqrt h0) 1) (/ (sqrt h0) (+ h1 h0)) (/ (sqrt h0) 1) (/ (sqrt h0) (+ h1 h0)) (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ h0 (cbrt (+ h1 h0))) (/ 1 (sqrt (+ h1 h0))) (/ h0 (sqrt (+ h1 h0))) (/ 1 1) (/ h0 (+ h1 h0)) (/ 1 1) (/ h0 (+ h1 h0)) (/ 1 (+ h1 h0)) (/ (+ h1 h0) h0) (/ h0 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ h0 (sqrt (+ h1 h0))) (/ h0 1) (/ h0 1) (/ (+ h1 h0) (cbrt h0)) (/ (+ h1 h0) (sqrt h0)) (/ (+ h1 h0) h0) (/ h0 (+ (pow h1 3) (pow h0 3))) (/ h0 (- (* h1 h1) (* h0 h0))) 0 0 0 0.076 * * [simplify]: iteration 0 : 121 enodes (cost 159 ) 0.079 * * [simplify]: iteration 1 : 391 enodes (cost 150 ) 0.085 * * [simplify]: iteration 2 : 1069 enodes (cost 150 ) 0.104 * * [simplify]: iteration 3 : 3853 enodes (cost 150 ) 0.153 * * [simplify]: iteration 4 : 5001 enodes (cost 150 ) 0.154 * * * [progress]: adding candidates to table 0.212 * * [progress]: iteration 2 / 4 0.212 * * * [progress]: picking best candidate 0.216 * * * * [pick]: Picked # 0.216 * * * [progress]: localizing error 0.220 * * * [progress]: generating rewritten candidates 0.220 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.233 * * * [progress]: generating series expansions 0.233 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.233 * [backup-simplify]: Simplify (/ x (+ y x)) into (/ x (+ x y)) 0.233 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.233 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.233 * [taylor]: Taking taylor expansion of x in y 0.233 * [backup-simplify]: Simplify x into x 0.233 * [taylor]: Taking taylor expansion of (+ x y) in y 0.233 * [taylor]: Taking taylor expansion of x in y 0.233 * [backup-simplify]: Simplify x into x 0.233 * [taylor]: Taking taylor expansion of y in y 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (+ x 0) into x 0.233 * [backup-simplify]: Simplify (/ x x) into 1 0.233 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [taylor]: Taking taylor expansion of (+ x y) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [taylor]: Taking taylor expansion of y in x 0.233 * [backup-simplify]: Simplify y into y 0.233 * [backup-simplify]: Simplify (+ 0 y) into y 0.233 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.233 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [taylor]: Taking taylor expansion of (+ x y) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [taylor]: Taking taylor expansion of y in x 0.233 * [backup-simplify]: Simplify y into y 0.233 * [backup-simplify]: Simplify (+ 0 y) into y 0.233 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.233 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (/ 1 1) into 1 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify (+ 1 0) into 1 0.235 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.235 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.235 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.235 * [taylor]: Taking taylor expansion of y in y 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 1 into 1 0.235 * [backup-simplify]: Simplify (* 1 1) into 1 0.235 * [backup-simplify]: Simplify (/ 1 1) into 1 0.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (- 0) into 0 0.237 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.238 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.238 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (* 1 1) into 1 0.239 * [backup-simplify]: Simplify (* 1 1) into 1 0.239 * [backup-simplify]: Simplify (/ 1 1) into 1 0.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (- 0) into 0 0.244 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.245 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.245 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.245 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.245 * [taylor]: Taking taylor expansion of x in y 0.245 * [backup-simplify]: Simplify x into x 0.245 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.245 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify (/ 1 1) into 1 0.245 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.245 * [taylor]: Taking taylor expansion of x in y 0.245 * [backup-simplify]: Simplify x into x 0.245 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.246 * [backup-simplify]: Simplify (+ 1 0) into 1 0.246 * [backup-simplify]: Simplify (* x 1) into x 0.246 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.246 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.246 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.246 * [taylor]: Taking taylor expansion of y in x 0.246 * [backup-simplify]: Simplify y into y 0.246 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (/ 1 1) into 1 0.246 * [backup-simplify]: Simplify (+ 0 1) into 1 0.247 * [backup-simplify]: Simplify (* 0 1) into 0 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.247 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.247 * [backup-simplify]: Simplify (/ 1 1) into 1 0.248 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.248 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.248 * [taylor]: Taking taylor expansion of y in x 0.248 * [backup-simplify]: Simplify y into y 0.248 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (/ 1 1) into 1 0.248 * [backup-simplify]: Simplify (+ 0 1) into 1 0.248 * [backup-simplify]: Simplify (* 0 1) into 0 0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.249 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.249 * [backup-simplify]: Simplify (/ 1 1) into 1 0.249 * [taylor]: Taking taylor expansion of 1 in y 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.251 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.251 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (/ 1 1) into 1 0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.253 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.254 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify (* 1 1) into 1 0.255 * [backup-simplify]: Simplify (/ 1 1) into 1 0.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (- 0) into 0 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.259 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.259 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.259 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.259 * [taylor]: Taking taylor expansion of x in y 0.259 * [backup-simplify]: Simplify x into x 0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [backup-simplify]: Simplify (/ 1 1) into 1 0.259 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.259 * [taylor]: Taking taylor expansion of x in y 0.259 * [backup-simplify]: Simplify x into x 0.259 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.259 * [backup-simplify]: Simplify (+ 1 0) into 1 0.259 * [backup-simplify]: Simplify (* x 1) into x 0.259 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.259 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.260 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.260 * [taylor]: Taking taylor expansion of y in x 0.260 * [backup-simplify]: Simplify y into y 0.260 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.260 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (/ 1 1) into 1 0.260 * [backup-simplify]: Simplify (+ 0 1) into 1 0.260 * [backup-simplify]: Simplify (* 0 1) into 0 0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.261 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.261 * [backup-simplify]: Simplify (/ 1 1) into 1 0.261 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.261 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.261 * [taylor]: Taking taylor expansion of y in x 0.262 * [backup-simplify]: Simplify y into y 0.262 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (/ 1 1) into 1 0.262 * [backup-simplify]: Simplify (+ 0 1) into 1 0.262 * [backup-simplify]: Simplify (* 0 1) into 0 0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.263 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.263 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.263 * [backup-simplify]: Simplify (/ 1 1) into 1 0.264 * [taylor]: Taking taylor expansion of 1 in y 0.264 * [backup-simplify]: Simplify 1 into 1 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.265 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.265 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (- 0) into 0 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.269 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.269 * [taylor]: Taking taylor expansion of y in y 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (* 1 1) into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (- 0) into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * * * [progress]: simplifying candidates 0.273 * [simplify]: Simplifying: (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (- (log x) (log (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (/ (* (* x x) x) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x))) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (/ 1 1) (/ x (+ y x)) (/ 1 1) (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) (/ x 1) (/ x 1) (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0.273 * [simplify]: Sending expressions to egg_math: (expm1 (/ h0 (+ h1 h0))) (log1p (/ h0 (+ h1 h0))) (- (log h0) (log (+ h1 h0))) (log (/ h0 (+ h1 h0))) (exp (/ h0 (+ h1 h0))) (/ (* (* h0 h0) h0) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (* (cbrt (/ h0 (+ h1 h0))) (cbrt (/ h0 (+ h1 h0)))) (cbrt (/ h0 (+ h1 h0))) (* (* (/ h0 (+ h1 h0)) (/ h0 (+ h1 h0))) (/ h0 (+ h1 h0))) (sqrt (/ h0 (+ h1 h0))) (sqrt (/ h0 (+ h1 h0))) (- h0) (- (+ h1 h0)) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ (cbrt h0) (cbrt (+ h1 h0))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (+ h1 h0))) (/ (cbrt h0) (sqrt (+ h1 h0))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ h1 h0)) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ h1 h0)) (/ (sqrt h0) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ (sqrt h0) (cbrt (+ h1 h0))) (/ (sqrt h0) (sqrt (+ h1 h0))) (/ (sqrt h0) (sqrt (+ h1 h0))) (/ (sqrt h0) 1) (/ (sqrt h0) (+ h1 h0)) (/ (sqrt h0) 1) (/ (sqrt h0) (+ h1 h0)) (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ h0 (cbrt (+ h1 h0))) (/ 1 (sqrt (+ h1 h0))) (/ h0 (sqrt (+ h1 h0))) (/ 1 1) (/ h0 (+ h1 h0)) (/ 1 1) (/ h0 (+ h1 h0)) (/ 1 (+ h1 h0)) (/ (+ h1 h0) h0) (/ h0 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ h0 (sqrt (+ h1 h0))) (/ h0 1) (/ h0 1) (/ (+ h1 h0) (cbrt h0)) (/ (+ h1 h0) (sqrt h0)) (/ (+ h1 h0) h0) (/ h0 (+ (pow h1 3) (pow h0 3))) (/ h0 (- (* h1 h1) (* h0 h0))) 0 0 0 0.277 * * [simplify]: iteration 0 : 121 enodes (cost 159 ) 0.279 * * [simplify]: iteration 1 : 391 enodes (cost 150 ) 0.285 * * [simplify]: iteration 2 : 1069 enodes (cost 150 ) 0.304 * * [simplify]: iteration 3 : 3853 enodes (cost 150 ) 0.354 * * [simplify]: iteration 4 : 5001 enodes (cost 150 ) 0.355 * * * [progress]: adding candidates to table 0.413 * * [progress]: iteration 3 / 4 0.413 * * * [progress]: picking best candidate 0.416 * * * * [pick]: Picked # 0.416 * * * [progress]: localizing error 0.421 * * * [progress]: generating rewritten candidates 0.421 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.452 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.468 * * * [progress]: generating series expansions 0.469 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.469 * [backup-simplify]: Simplify (* x (/ 1 (+ y x))) into (/ x (+ x y)) 0.469 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.469 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.469 * [taylor]: Taking taylor expansion of x in y 0.469 * [backup-simplify]: Simplify x into x 0.469 * [taylor]: Taking taylor expansion of (+ x y) in y 0.469 * [taylor]: Taking taylor expansion of x in y 0.469 * [backup-simplify]: Simplify x into x 0.469 * [taylor]: Taking taylor expansion of y in y 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [backup-simplify]: Simplify (+ x 0) into x 0.469 * [backup-simplify]: Simplify (/ x x) into 1 0.469 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [taylor]: Taking taylor expansion of (+ x y) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [taylor]: Taking taylor expansion of y in x 0.469 * [backup-simplify]: Simplify y into y 0.469 * [backup-simplify]: Simplify (+ 0 y) into y 0.469 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.469 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [taylor]: Taking taylor expansion of (+ x y) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [taylor]: Taking taylor expansion of y in x 0.469 * [backup-simplify]: Simplify y into y 0.469 * [backup-simplify]: Simplify (+ 0 y) into y 0.469 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.469 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.469 * [taylor]: Taking taylor expansion of y in y 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.470 * [backup-simplify]: Simplify (/ 1 1) into 1 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify (+ 1 0) into 1 0.471 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.471 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.471 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.471 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.471 * [taylor]: Taking taylor expansion of y in y 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify (* 1 1) into 1 0.471 * [backup-simplify]: Simplify (/ 1 1) into 1 0.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (- 0) into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify (+ 0 0) into 0 0.474 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.474 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.474 * [taylor]: Taking taylor expansion of y in y 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify 1 into 1 0.474 * [backup-simplify]: Simplify (* 1 1) into 1 0.475 * [backup-simplify]: Simplify (* 1 1) into 1 0.475 * [backup-simplify]: Simplify (/ 1 1) into 1 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (- 0) into 0 0.480 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 (+ (/ 1 y) (/ 1 x)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.481 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.481 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.481 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.481 * [taylor]: Taking taylor expansion of x in y 0.481 * [backup-simplify]: Simplify x into x 0.481 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.481 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [backup-simplify]: Simplify (/ 1 1) into 1 0.481 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.481 * [taylor]: Taking taylor expansion of x in y 0.481 * [backup-simplify]: Simplify x into x 0.481 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.482 * [backup-simplify]: Simplify (+ 1 0) into 1 0.482 * [backup-simplify]: Simplify (* x 1) into x 0.482 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.482 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.482 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 1 into 1 0.482 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.482 * [taylor]: Taking taylor expansion of y in x 0.482 * [backup-simplify]: Simplify y into y 0.482 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 1 into 1 0.482 * [backup-simplify]: Simplify (/ 1 1) into 1 0.482 * [backup-simplify]: Simplify (+ 0 1) into 1 0.483 * [backup-simplify]: Simplify (* 0 1) into 0 0.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.483 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.484 * [backup-simplify]: Simplify (/ 1 1) into 1 0.484 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.484 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.484 * [taylor]: Taking taylor expansion of y in x 0.484 * [backup-simplify]: Simplify y into y 0.484 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.484 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [backup-simplify]: Simplify (/ 1 1) into 1 0.484 * [backup-simplify]: Simplify (+ 0 1) into 1 0.485 * [backup-simplify]: Simplify (* 0 1) into 0 0.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.485 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.486 * [backup-simplify]: Simplify (/ 1 1) into 1 0.486 * [taylor]: Taking taylor expansion of 1 in y 0.486 * [backup-simplify]: Simplify 1 into 1 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (+ 0 0) into 0 0.487 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.487 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.487 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.487 * [taylor]: Taking taylor expansion of y in y 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.487 * [backup-simplify]: Simplify (/ 1 1) into 1 0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (- 0) into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (+ 0 0) into 0 0.490 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.490 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.491 * [backup-simplify]: Simplify (* 1 1) into 1 0.491 * [backup-simplify]: Simplify (/ 1 1) into 1 0.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (- 0) into 0 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify (* (/ 1 (- x)) (/ 1 (+ (/ 1 (- y)) (/ 1 (- x))))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.495 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.495 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.495 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.495 * [taylor]: Taking taylor expansion of x in y 0.495 * [backup-simplify]: Simplify x into x 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 1 into 1 0.495 * [backup-simplify]: Simplify (/ 1 1) into 1 0.495 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.495 * [taylor]: Taking taylor expansion of x in y 0.495 * [backup-simplify]: Simplify x into x 0.495 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.495 * [backup-simplify]: Simplify (+ 1 0) into 1 0.495 * [backup-simplify]: Simplify (* x 1) into x 0.495 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.495 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.495 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 1 into 1 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.495 * [taylor]: Taking taylor expansion of y in x 0.496 * [backup-simplify]: Simplify y into y 0.496 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.496 * [backup-simplify]: Simplify (/ 1 1) into 1 0.496 * [backup-simplify]: Simplify (+ 0 1) into 1 0.496 * [backup-simplify]: Simplify (* 0 1) into 0 0.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.497 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.497 * [backup-simplify]: Simplify (/ 1 1) into 1 0.497 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.497 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.497 * [taylor]: Taking taylor expansion of y in x 0.497 * [backup-simplify]: Simplify y into y 0.497 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.498 * [backup-simplify]: Simplify (/ 1 1) into 1 0.498 * [backup-simplify]: Simplify (+ 0 1) into 1 0.498 * [backup-simplify]: Simplify (* 0 1) into 0 0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.499 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.499 * [backup-simplify]: Simplify (/ 1 1) into 1 0.499 * [taylor]: Taking taylor expansion of 1 in y 0.499 * [backup-simplify]: Simplify 1 into 1 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.500 * [backup-simplify]: Simplify (+ 0 0) into 0 0.501 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.501 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.501 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.501 * [taylor]: Taking taylor expansion of y in y 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (/ 1 1) into 1 0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (- 0) into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (+ 0 0) into 0 0.504 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.504 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.504 * [taylor]: Taking taylor expansion of y in y 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 1 into 1 0.505 * [backup-simplify]: Simplify (* 1 1) into 1 0.505 * [backup-simplify]: Simplify (/ 1 1) into 1 0.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.508 * [backup-simplify]: Simplify (- 0) into 0 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.509 * [backup-simplify]: Simplify (/ 1 (+ y x)) into (/ 1 (+ x y)) 0.509 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (y x) around 0 0.509 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.509 * [taylor]: Taking taylor expansion of (+ x y) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [taylor]: Taking taylor expansion of y in x 0.509 * [backup-simplify]: Simplify y into y 0.509 * [backup-simplify]: Simplify (+ 0 y) into y 0.509 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.509 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.509 * [taylor]: Taking taylor expansion of (+ x y) in y 0.509 * [taylor]: Taking taylor expansion of x in y 0.509 * [backup-simplify]: Simplify x into x 0.509 * [taylor]: Taking taylor expansion of y in y 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [backup-simplify]: Simplify (+ x 0) into x 0.509 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.509 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.509 * [taylor]: Taking taylor expansion of (+ x y) in y 0.509 * [taylor]: Taking taylor expansion of x in y 0.509 * [backup-simplify]: Simplify x into x 0.509 * [taylor]: Taking taylor expansion of y in y 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [backup-simplify]: Simplify (+ x 0) into x 0.509 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [backup-simplify]: Simplify (/ 1 1) into 1 0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify (+ 0 1) into 1 0.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 1 x)))) into (- (/ 1 (pow x 2))) 0.510 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.510 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify 1 into 1 0.510 * [backup-simplify]: Simplify (* 1 1) into 1 0.511 * [backup-simplify]: Simplify (/ 1 1) into 1 0.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.513 * [backup-simplify]: Simplify (- 0) into 0 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify (+ 0 0) into 0 0.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* (- (/ 1 (pow x 2))) (/ 1 x)))) into (/ 1 (pow x 3)) 0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.514 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 1 into 1 0.514 * [backup-simplify]: Simplify (* 1 1) into 1 0.515 * [backup-simplify]: Simplify (* 1 1) into 1 0.515 * [backup-simplify]: Simplify (/ 1 1) into 1 0.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.519 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (- 0) into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 y) (/ 1 x))) into (/ 1 (+ (/ 1 y) (/ 1 x))) 0.521 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 0.521 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.521 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.521 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.521 * [taylor]: Taking taylor expansion of y in x 0.521 * [backup-simplify]: Simplify y into y 0.521 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.521 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 1 into 1 0.521 * [backup-simplify]: Simplify (/ 1 1) into 1 0.522 * [backup-simplify]: Simplify (+ 0 1) into 1 0.522 * [backup-simplify]: Simplify (/ 1 1) into 1 0.522 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.522 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.522 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.522 * [taylor]: Taking taylor expansion of y in y 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 1 into 1 0.522 * [backup-simplify]: Simplify (/ 1 1) into 1 0.522 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.522 * [taylor]: Taking taylor expansion of x in y 0.522 * [backup-simplify]: Simplify x into x 0.522 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.523 * [backup-simplify]: Simplify (+ 1 0) into 1 0.523 * [backup-simplify]: Simplify (/ 1 1) into 1 0.523 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.523 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.523 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.523 * [taylor]: Taking taylor expansion of y in y 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 1 into 1 0.523 * [backup-simplify]: Simplify (/ 1 1) into 1 0.523 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.523 * [taylor]: Taking taylor expansion of x in y 0.523 * [backup-simplify]: Simplify x into x 0.523 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.523 * [backup-simplify]: Simplify (+ 1 0) into 1 0.524 * [backup-simplify]: Simplify (/ 1 1) into 1 0.524 * [taylor]: Taking taylor expansion of 1 in x 0.524 * [backup-simplify]: Simplify 1 into 1 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.524 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 0.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 x) 1)))) into (- (/ 1 x)) 0.524 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify 1 into 1 0.525 * [backup-simplify]: Simplify (/ 1 1) into 1 0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (- 0) into 0 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.527 * [backup-simplify]: Simplify (+ 0 0) into 0 0.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 x)) (/ (/ 1 x) 1)))) into (/ 1 (pow x 2)) 0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.527 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 1 into 1 0.527 * [backup-simplify]: Simplify (* 1 1) into 1 0.527 * [backup-simplify]: Simplify (/ 1 1) into 1 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.530 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.531 * [backup-simplify]: Simplify (- 0) into 0 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (- y)) (/ 1 (- x)))) into (/ -1 (+ (/ 1 y) (/ 1 x))) 0.531 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 0.531 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.531 * [taylor]: Taking taylor expansion of -1 in x 0.531 * [backup-simplify]: Simplify -1 into -1 0.531 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.531 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.531 * [taylor]: Taking taylor expansion of y in x 0.531 * [backup-simplify]: Simplify y into y 0.531 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.531 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.532 * [backup-simplify]: Simplify (/ 1 1) into 1 0.532 * [backup-simplify]: Simplify (+ 0 1) into 1 0.532 * [backup-simplify]: Simplify (/ -1 1) into -1 0.532 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.532 * [taylor]: Taking taylor expansion of -1 in y 0.532 * [backup-simplify]: Simplify -1 into -1 0.532 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.532 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.532 * [taylor]: Taking taylor expansion of y in y 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 1 into 1 0.532 * [backup-simplify]: Simplify (/ 1 1) into 1 0.532 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.532 * [taylor]: Taking taylor expansion of x in y 0.532 * [backup-simplify]: Simplify x into x 0.532 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.533 * [backup-simplify]: Simplify (+ 1 0) into 1 0.533 * [backup-simplify]: Simplify (/ -1 1) into -1 0.533 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.533 * [taylor]: Taking taylor expansion of -1 in y 0.533 * [backup-simplify]: Simplify -1 into -1 0.533 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.533 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.533 * [taylor]: Taking taylor expansion of y in y 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 1 into 1 0.533 * [backup-simplify]: Simplify (/ 1 1) into 1 0.533 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.533 * [taylor]: Taking taylor expansion of x in y 0.533 * [backup-simplify]: Simplify x into x 0.533 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.534 * [backup-simplify]: Simplify (+ 1 0) into 1 0.534 * [backup-simplify]: Simplify (/ -1 1) into -1 0.534 * [taylor]: Taking taylor expansion of -1 in x 0.534 * [backup-simplify]: Simplify -1 into -1 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 0.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (/ 1 x) 1)))) into (/ 1 x) 0.535 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 1 into 1 0.535 * [backup-simplify]: Simplify (/ 1 1) into 1 0.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.537 * [backup-simplify]: Simplify (+ 0 0) into 0 0.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (/ 1 x) (/ (/ 1 x) 1)))) into (- (/ 1 (pow x 2))) 0.538 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.538 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 1 into 1 0.538 * [backup-simplify]: Simplify (* 1 1) into 1 0.538 * [backup-simplify]: Simplify (/ 1 1) into 1 0.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.541 * [backup-simplify]: Simplify (- 0) into 0 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.541 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * * * [progress]: simplifying candidates 0.543 * [simplify]: Simplifying: (expm1 (* x (/ 1 (+ y x)))) (log1p (* x (/ 1 (+ y x)))) (* x (/ 1 (+ y x))) (+ (log x) (- (log (+ y x)))) (+ (log x) (- 0 (log (+ y x)))) (+ (log x) (- (log 1) (log (+ y x)))) (+ (log x) (log (/ 1 (+ y x)))) (log (* x (/ 1 (+ y x)))) (exp (* x (/ 1 (+ y x)))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (+ y x) (+ y x)) (+ y x)))) (* (* (* x x) x) (* (* (/ 1 (+ y x)) (/ 1 (+ y x))) (/ 1 (+ y x)))) (* (cbrt (* x (/ 1 (+ y x)))) (cbrt (* x (/ 1 (+ y x))))) (cbrt (* x (/ 1 (+ y x)))) (* (* (* x (/ 1 (+ y x))) (* x (/ 1 (+ y x)))) (* x (/ 1 (+ y x)))) (sqrt (* x (/ 1 (+ y x)))) (sqrt (* x (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ y x)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ y x)))) (* (sqrt x) (/ 1 (sqrt (+ y x)))) (* (sqrt x) (/ 1 (sqrt (+ y x)))) (* x (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x))))) (* x (sqrt (/ 1 (+ y x)))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y x)))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (sqrt 1) (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ (sqrt 1) (sqrt (+ y x)))) (* x (/ (sqrt 1) 1)) (* x (/ (sqrt 1) 1)) (* x (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ 1 (sqrt (+ y x)))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x 1) (* x (/ 1 (+ (pow y 3) (pow x 3)))) (* x (/ 1 (- (* y y) (* x x)))) (* (cbrt x) (/ 1 (+ y x))) (* (sqrt x) (/ 1 (+ y x))) (* x (/ 1 (+ y x))) (* x 1) (expm1 (/ 1 (+ y x))) (log1p (/ 1 (+ y x))) (- 1) (- (log (+ y x))) (- 0 (log (+ y x))) (- (log 1) (log (+ y x))) (log (/ 1 (+ y x))) (exp (/ 1 (+ y x))) (/ (* (* 1 1) 1) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x)))) (cbrt (/ 1 (+ y x))) (* (* (/ 1 (+ y x)) (/ 1 (+ y x))) (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) (- 1) (- (+ y x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt 1) (cbrt (+ y x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y x))) (/ (cbrt 1) (sqrt (+ y x))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y x)) (/ (sqrt 1) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt 1) (cbrt (+ y x))) (/ (sqrt 1) (sqrt (+ y x))) (/ (sqrt 1) (sqrt (+ y x))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y x)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 1) (/ 1 (+ y x)) (/ 1 1) (/ 1 (+ y x)) (/ 1 (+ y x)) (/ (+ y x) 1) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (sqrt (+ y x))) (/ 1 1) (/ 1 1) (/ (+ y x) (cbrt 1)) (/ (+ y x) (sqrt 1)) (/ (+ y x) 1) (/ 1 (+ (pow y 3) (pow x 3))) (/ 1 (- (* y y) (* x x))) 0 0 0 0 0 0 0.543 * [simplify]: Sending expressions to egg_math: (expm1 (* h0 (/ 1 (+ h1 h0)))) (log1p (* h0 (/ 1 (+ h1 h0)))) (* h0 (/ 1 (+ h1 h0))) (+ (log h0) (- (log (+ h1 h0)))) (+ (log h0) (- 0 (log (+ h1 h0)))) (+ (log h0) (- (log 1) (log (+ h1 h0)))) (+ (log h0) (log (/ 1 (+ h1 h0)))) (log (* h0 (/ 1 (+ h1 h0)))) (exp (* h0 (/ 1 (+ h1 h0)))) (* (* (* h0 h0) h0) (/ (* (* 1 1) 1) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0)))) (* (* (* h0 h0) h0) (* (* (/ 1 (+ h1 h0)) (/ 1 (+ h1 h0))) (/ 1 (+ h1 h0)))) (* (cbrt (* h0 (/ 1 (+ h1 h0)))) (cbrt (* h0 (/ 1 (+ h1 h0))))) (cbrt (* h0 (/ 1 (+ h1 h0)))) (* (* (* h0 (/ 1 (+ h1 h0))) (* h0 (/ 1 (+ h1 h0)))) (* h0 (/ 1 (+ h1 h0)))) (sqrt (* h0 (/ 1 (+ h1 h0)))) (sqrt (* h0 (/ 1 (+ h1 h0)))) (* (sqrt h0) (sqrt (/ 1 (+ h1 h0)))) (* (sqrt h0) (sqrt (/ 1 (+ h1 h0)))) (* (sqrt h0) (/ (sqrt 1) (sqrt (+ h1 h0)))) (* (sqrt h0) (/ (sqrt 1) (sqrt (+ h1 h0)))) (* (sqrt h0) (/ 1 (sqrt (+ h1 h0)))) (* (sqrt h0) (/ 1 (sqrt (+ h1 h0)))) (* h0 (* (cbrt (/ 1 (+ h1 h0))) (cbrt (/ 1 (+ h1 h0))))) (* h0 (sqrt (/ 1 (+ h1 h0)))) (* h0 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (* h0 (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ h1 h0)))) (* h0 (/ (* (cbrt 1) (cbrt 1)) 1)) (* h0 (/ (* (cbrt 1) (cbrt 1)) 1)) (* h0 (/ (sqrt 1) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (* h0 (/ (sqrt 1) (sqrt (+ h1 h0)))) (* h0 (/ (sqrt 1) 1)) (* h0 (/ (sqrt 1) 1)) (* h0 (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))))) (* h0 (/ 1 (sqrt (+ h1 h0)))) (* h0 (/ 1 1)) (* h0 (/ 1 1)) (* h0 1) (* h0 1) (* h0 (/ 1 (+ (pow h1 3) (pow h0 3)))) (* h0 (/ 1 (- (* h1 h1) (* h0 h0)))) (* (cbrt h0) (/ 1 (+ h1 h0))) (* (sqrt h0) (/ 1 (+ h1 h0))) (* h0 (/ 1 (+ h1 h0))) (* h0 1) (expm1 (/ 1 (+ h1 h0))) (log1p (/ 1 (+ h1 h0))) (- 1) (- (log (+ h1 h0))) (- 0 (log (+ h1 h0))) (- (log 1) (log (+ h1 h0))) (log (/ 1 (+ h1 h0))) (exp (/ 1 (+ h1 h0))) (/ (* (* 1 1) 1) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (* (cbrt (/ 1 (+ h1 h0))) (cbrt (/ 1 (+ h1 h0)))) (cbrt (/ 1 (+ h1 h0))) (* (* (/ 1 (+ h1 h0)) (/ 1 (+ h1 h0))) (/ 1 (+ h1 h0))) (sqrt (/ 1 (+ h1 h0))) (sqrt (/ 1 (+ h1 h0))) (- 1) (- (+ h1 h0)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ (cbrt 1) (cbrt (+ h1 h0))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ h1 h0))) (/ (cbrt 1) (sqrt (+ h1 h0))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ h1 h0)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ h1 h0)) (/ (sqrt 1) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ (sqrt 1) (cbrt (+ h1 h0))) (/ (sqrt 1) (sqrt (+ h1 h0))) (/ (sqrt 1) (sqrt (+ h1 h0))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ h1 h0)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ h1 h0)) (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ 1 (cbrt (+ h1 h0))) (/ 1 (sqrt (+ h1 h0))) (/ 1 (sqrt (+ h1 h0))) (/ 1 1) (/ 1 (+ h1 h0)) (/ 1 1) (/ 1 (+ h1 h0)) (/ 1 (+ h1 h0)) (/ (+ h1 h0) 1) (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ 1 (sqrt (+ h1 h0))) (/ 1 1) (/ 1 1) (/ (+ h1 h0) (cbrt 1)) (/ (+ h1 h0) (sqrt 1)) (/ (+ h1 h0) 1) (/ 1 (+ (pow h1 3) (pow h0 3))) (/ 1 (- (* h1 h1) (* h0 h0))) 0 0 0 0 0 0 0.547 * * [simplify]: iteration 0 : 231 enodes (cost 360 ) 0.552 * * [simplify]: iteration 1 : 1013 enodes (cost 310 ) 0.570 * * [simplify]: iteration 2 : 3518 enodes (cost 272 ) 0.600 * * [simplify]: iteration 3 : 5002 enodes (cost 272 ) 0.602 * * * [progress]: adding candidates to table 0.710 * * [progress]: iteration 4 / 4 0.710 * * * [progress]: picking best candidate 0.712 * * * * [pick]: Picked # 0.712 * * * [progress]: localizing error 0.719 * * * [progress]: generating rewritten candidates 0.719 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.734 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.748 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1) 0.768 * * * [progress]: generating series expansions 0.768 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.768 * [backup-simplify]: Simplify (cbrt (pow (/ x (+ y x)) 3)) into (/ x (+ x y)) 0.768 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.768 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.768 * [taylor]: Taking taylor expansion of x in y 0.768 * [backup-simplify]: Simplify x into x 0.768 * [taylor]: Taking taylor expansion of (+ x y) in y 0.768 * [taylor]: Taking taylor expansion of x in y 0.768 * [backup-simplify]: Simplify x into x 0.768 * [taylor]: Taking taylor expansion of y in y 0.768 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify 1 into 1 0.768 * [backup-simplify]: Simplify (+ x 0) into x 0.768 * [backup-simplify]: Simplify (/ x x) into 1 0.769 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.769 * [taylor]: Taking taylor expansion of x in x 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify 1 into 1 0.769 * [taylor]: Taking taylor expansion of (+ x y) in x 0.769 * [taylor]: Taking taylor expansion of x in x 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify 1 into 1 0.769 * [taylor]: Taking taylor expansion of y in x 0.769 * [backup-simplify]: Simplify y into y 0.769 * [backup-simplify]: Simplify (+ 0 y) into y 0.769 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.769 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.769 * [taylor]: Taking taylor expansion of x in x 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify 1 into 1 0.769 * [taylor]: Taking taylor expansion of (+ x y) in x 0.769 * [taylor]: Taking taylor expansion of x in x 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify 1 into 1 0.769 * [taylor]: Taking taylor expansion of y in x 0.769 * [backup-simplify]: Simplify y into y 0.769 * [backup-simplify]: Simplify (+ 0 y) into y 0.769 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.769 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.769 * [taylor]: Taking taylor expansion of y in y 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify 1 into 1 0.769 * [backup-simplify]: Simplify (/ 1 1) into 1 0.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify (+ 1 0) into 1 0.770 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.770 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.770 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.770 * [taylor]: Taking taylor expansion of (pow y 2) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.773 * [backup-simplify]: Simplify (- 0) into 0 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.773 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify (+ 0 0) into 0 0.774 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 0.774 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.774 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.774 * [taylor]: Taking taylor expansion of y in y 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify 1 into 1 0.774 * [backup-simplify]: Simplify (* 1 1) into 1 0.774 * [backup-simplify]: Simplify (* 1 1) into 1 0.775 * [backup-simplify]: Simplify (/ 1 1) into 1 0.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify (cbrt (pow (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) 3)) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.781 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.781 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.781 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.781 * [taylor]: Taking taylor expansion of x in y 0.781 * [backup-simplify]: Simplify x into x 0.781 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.781 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.781 * [taylor]: Taking taylor expansion of y in y 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 1 into 1 0.781 * [backup-simplify]: Simplify (/ 1 1) into 1 0.781 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.781 * [taylor]: Taking taylor expansion of x in y 0.781 * [backup-simplify]: Simplify x into x 0.781 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.782 * [backup-simplify]: Simplify (+ 1 0) into 1 0.782 * [backup-simplify]: Simplify (* x 1) into x 0.782 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.782 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.782 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.782 * [taylor]: Taking taylor expansion of x in x 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 1 into 1 0.782 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.782 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.782 * [taylor]: Taking taylor expansion of y in x 0.782 * [backup-simplify]: Simplify y into y 0.782 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.782 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.782 * [taylor]: Taking taylor expansion of x in x 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 (+ 0 1) into 1 0.783 * [backup-simplify]: Simplify (* 0 1) into 0 0.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.783 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.783 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.784 * [backup-simplify]: Simplify (/ 1 1) into 1 0.784 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.784 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.784 * [taylor]: Taking taylor expansion of x in x 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify 1 into 1 0.784 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.784 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.784 * [taylor]: Taking taylor expansion of y in x 0.784 * [backup-simplify]: Simplify y into y 0.784 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.784 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.784 * [taylor]: Taking taylor expansion of x in x 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify 1 into 1 0.784 * [backup-simplify]: Simplify (/ 1 1) into 1 0.784 * [backup-simplify]: Simplify (+ 0 1) into 1 0.785 * [backup-simplify]: Simplify (* 0 1) into 0 0.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.785 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.785 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.786 * [backup-simplify]: Simplify (/ 1 1) into 1 0.786 * [taylor]: Taking taylor expansion of 1 in y 0.786 * [backup-simplify]: Simplify 1 into 1 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.787 * [backup-simplify]: Simplify (+ 0 0) into 0 0.787 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.787 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.787 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.787 * [taylor]: Taking taylor expansion of y in y 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 1 into 1 0.787 * [backup-simplify]: Simplify (/ 1 1) into 1 0.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.789 * [backup-simplify]: Simplify (- 0) into 0 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.790 * [backup-simplify]: Simplify (+ 0 0) into 0 0.790 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.791 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.791 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.791 * [taylor]: Taking taylor expansion of y in y 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify 1 into 1 0.791 * [backup-simplify]: Simplify (* 1 1) into 1 0.791 * [backup-simplify]: Simplify (/ 1 1) into 1 0.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.795 * [backup-simplify]: Simplify (- 0) into 0 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify (cbrt (pow (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) 3)) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.795 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.795 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.795 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.795 * [taylor]: Taking taylor expansion of x in y 0.795 * [backup-simplify]: Simplify x into x 0.795 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.795 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.795 * [taylor]: Taking taylor expansion of y in y 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify 1 into 1 0.795 * [backup-simplify]: Simplify (/ 1 1) into 1 0.795 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.795 * [taylor]: Taking taylor expansion of x in y 0.795 * [backup-simplify]: Simplify x into x 0.796 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.796 * [backup-simplify]: Simplify (+ 1 0) into 1 0.796 * [backup-simplify]: Simplify (* x 1) into x 0.796 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.796 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.796 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.796 * [taylor]: Taking taylor expansion of x in x 0.796 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify 1 into 1 0.796 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.796 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.796 * [taylor]: Taking taylor expansion of y in x 0.796 * [backup-simplify]: Simplify y into y 0.796 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.796 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.796 * [taylor]: Taking taylor expansion of x in x 0.796 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify 1 into 1 0.796 * [backup-simplify]: Simplify (/ 1 1) into 1 0.797 * [backup-simplify]: Simplify (+ 0 1) into 1 0.797 * [backup-simplify]: Simplify (* 0 1) into 0 0.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.797 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.797 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.798 * [backup-simplify]: Simplify (/ 1 1) into 1 0.798 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.798 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 1 into 1 0.798 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.798 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.798 * [taylor]: Taking taylor expansion of y in x 0.798 * [backup-simplify]: Simplify y into y 0.798 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.798 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 1 into 1 0.798 * [backup-simplify]: Simplify (/ 1 1) into 1 0.798 * [backup-simplify]: Simplify (+ 0 1) into 1 0.799 * [backup-simplify]: Simplify (* 0 1) into 0 0.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.799 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.799 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.800 * [backup-simplify]: Simplify (/ 1 1) into 1 0.800 * [taylor]: Taking taylor expansion of 1 in y 0.800 * [backup-simplify]: Simplify 1 into 1 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.800 * [backup-simplify]: Simplify (+ 0 0) into 0 0.801 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.801 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.801 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.801 * [taylor]: Taking taylor expansion of y in y 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify 1 into 1 0.801 * [backup-simplify]: Simplify (/ 1 1) into 1 0.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.802 * [backup-simplify]: Simplify (- 0) into 0 0.803 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.803 * [backup-simplify]: Simplify (+ 0 0) into 0 0.804 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.804 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.805 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.805 * [taylor]: Taking taylor expansion of y in y 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify 1 into 1 0.805 * [backup-simplify]: Simplify (* 1 1) into 1 0.805 * [backup-simplify]: Simplify (/ 1 1) into 1 0.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.808 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.808 * [backup-simplify]: Simplify (- 0) into 0 0.808 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify 0 into 0 0.808 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.809 * [backup-simplify]: Simplify (pow (/ x (+ y x)) 3) into (pow (/ x (+ x y)) 3) 0.809 * [approximate]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in (x y) around 0 0.809 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in y 0.809 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.809 * [taylor]: Taking taylor expansion of x in y 0.809 * [backup-simplify]: Simplify x into x 0.809 * [taylor]: Taking taylor expansion of (+ x y) in y 0.809 * [taylor]: Taking taylor expansion of x in y 0.809 * [backup-simplify]: Simplify x into x 0.809 * [taylor]: Taking taylor expansion of y in y 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify 1 into 1 0.809 * [backup-simplify]: Simplify (+ x 0) into x 0.809 * [backup-simplify]: Simplify (/ x x) into 1 0.809 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in x 0.809 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify 1 into 1 0.809 * [taylor]: Taking taylor expansion of (+ x y) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify 1 into 1 0.809 * [taylor]: Taking taylor expansion of y in x 0.809 * [backup-simplify]: Simplify y into y 0.809 * [backup-simplify]: Simplify (+ 0 y) into y 0.809 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.809 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in x 0.809 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify 1 into 1 0.809 * [taylor]: Taking taylor expansion of (+ x y) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify 1 into 1 0.809 * [taylor]: Taking taylor expansion of y in x 0.809 * [backup-simplify]: Simplify y into y 0.809 * [backup-simplify]: Simplify (+ 0 y) into y 0.809 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.809 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 0.810 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 (pow y 2))) into (/ 1 (pow y 3)) 0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.810 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.810 * [taylor]: Taking taylor expansion of y in y 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify 1 into 1 0.810 * [backup-simplify]: Simplify (* 1 1) into 1 0.810 * [backup-simplify]: Simplify (* 1 1) into 1 0.810 * [backup-simplify]: Simplify (/ 1 1) into 1 0.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.814 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify (+ 1 0) into 1 0.815 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.815 * [backup-simplify]: Simplify (+ (* (/ 1 y) (- (/ 1 (pow y 2)))) (* (- (/ 1 (pow y 2))) (/ 1 y))) into (- (* 2 (/ 1 (pow y 3)))) 0.815 * [backup-simplify]: Simplify (+ (* (/ 1 y) (- (* 2 (/ 1 (pow y 3))))) (* (- (/ 1 (pow y 2))) (/ 1 (pow y 2)))) into (- (* 3 (/ 1 (pow y 4)))) 0.815 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow y 4)))) in y 0.815 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 4))) in y 0.815 * [taylor]: Taking taylor expansion of 3 in y 0.815 * [backup-simplify]: Simplify 3 into 3 0.815 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.815 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.815 * [taylor]: Taking taylor expansion of y in y 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify 1 into 1 0.816 * [backup-simplify]: Simplify (* 1 1) into 1 0.816 * [backup-simplify]: Simplify (* 1 1) into 1 0.816 * [backup-simplify]: Simplify (/ 1 1) into 1 0.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.823 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.823 * [backup-simplify]: Simplify (- 0) into 0 0.823 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify (+ 0 0) into 0 0.825 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 0.826 * [backup-simplify]: Simplify (+ (* (/ 1 y) (/ 1 (pow y 3))) (+ (* (- (/ 1 (pow y 2))) (- (/ 1 (pow y 2)))) (* (/ 1 (pow y 3)) (/ 1 y)))) into (* 3 (/ 1 (pow y 4))) 0.826 * [backup-simplify]: Simplify (+ (* (/ 1 y) (* 3 (/ 1 (pow y 4)))) (+ (* (- (/ 1 (pow y 2))) (- (* 2 (/ 1 (pow y 3))))) (* (/ 1 (pow y 3)) (/ 1 (pow y 2))))) into (* 6 (/ 1 (pow y 5))) 0.826 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 5))) in y 0.826 * [taylor]: Taking taylor expansion of 6 in y 0.826 * [backup-simplify]: Simplify 6 into 6 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 0.826 * [taylor]: Taking taylor expansion of (pow y 5) in y 0.826 * [taylor]: Taking taylor expansion of y in y 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 1 into 1 0.826 * [backup-simplify]: Simplify (* 1 1) into 1 0.827 * [backup-simplify]: Simplify (* 1 1) into 1 0.827 * [backup-simplify]: Simplify (* 1 1) into 1 0.827 * [backup-simplify]: Simplify (/ 1 1) into 1 0.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.838 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.838 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.841 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.841 * [backup-simplify]: Simplify (- 0) into 0 0.841 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.843 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify (pow (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) 3) into (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) 0.843 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in (x y) around 0 0.843 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in y 0.843 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.843 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.843 * [taylor]: Taking taylor expansion of x in y 0.843 * [backup-simplify]: Simplify x into x 0.843 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.843 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.843 * [taylor]: Taking taylor expansion of y in y 0.843 * [backup-simplify]: Simplify 0 into 0 0.844 * [backup-simplify]: Simplify 1 into 1 0.844 * [backup-simplify]: Simplify (/ 1 1) into 1 0.844 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.844 * [taylor]: Taking taylor expansion of x in y 0.844 * [backup-simplify]: Simplify x into x 0.844 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.844 * [backup-simplify]: Simplify (+ 1 0) into 1 0.844 * [backup-simplify]: Simplify (* x 1) into x 0.844 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.844 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 0.844 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.844 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.844 * [taylor]: Taking taylor expansion of x in x 0.844 * [backup-simplify]: Simplify 0 into 0 0.844 * [backup-simplify]: Simplify 1 into 1 0.844 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.844 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.844 * [taylor]: Taking taylor expansion of y in x 0.844 * [backup-simplify]: Simplify y into y 0.844 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.844 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.844 * [taylor]: Taking taylor expansion of x in x 0.844 * [backup-simplify]: Simplify 0 into 0 0.844 * [backup-simplify]: Simplify 1 into 1 0.845 * [backup-simplify]: Simplify (/ 1 1) into 1 0.845 * [backup-simplify]: Simplify (+ 0 1) into 1 0.845 * [backup-simplify]: Simplify (* 0 1) into 0 0.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.846 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.846 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.846 * [backup-simplify]: Simplify (/ 1 1) into 1 0.846 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 0.846 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.846 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 1 into 1 0.846 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.846 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.846 * [taylor]: Taking taylor expansion of y in x 0.846 * [backup-simplify]: Simplify y into y 0.846 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.846 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 1 into 1 0.846 * [backup-simplify]: Simplify (/ 1 1) into 1 0.847 * [backup-simplify]: Simplify (+ 0 1) into 1 0.847 * [backup-simplify]: Simplify (* 0 1) into 0 0.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.847 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.848 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.848 * [backup-simplify]: Simplify (/ 1 1) into 1 0.848 * [backup-simplify]: Simplify (* 1 1) into 1 0.848 * [backup-simplify]: Simplify (* 1 1) into 1 0.848 * [taylor]: Taking taylor expansion of 1 in y 0.848 * [backup-simplify]: Simplify 1 into 1 0.848 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.849 * [backup-simplify]: Simplify (+ 0 0) into 0 0.850 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.850 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 y))) (* (- (/ 1 y)) 1)) into (- (* 2 (/ 1 y))) 0.853 * [backup-simplify]: Simplify (+ (* 1 (- (* 2 (/ 1 y)))) (* (- (/ 1 y)) 1)) into (- (* 3 (/ 1 y))) 0.853 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 y))) in y 0.853 * [taylor]: Taking taylor expansion of (* 3 (/ 1 y)) in y 0.853 * [taylor]: Taking taylor expansion of 3 in y 0.853 * [backup-simplify]: Simplify 3 into 3 0.853 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.853 * [taylor]: Taking taylor expansion of y in y 0.853 * [backup-simplify]: Simplify 0 into 0 0.853 * [backup-simplify]: Simplify 1 into 1 0.853 * [backup-simplify]: Simplify (/ 1 1) into 1 0.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.856 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.856 * [backup-simplify]: Simplify (- 0) into 0 0.856 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.857 * [backup-simplify]: Simplify (+ 0 0) into 0 0.857 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.858 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* (- (/ 1 y)) (- (/ 1 y))) (* (/ 1 (pow y 2)) 1))) into (* 3 (/ 1 (pow y 2))) 0.858 * [backup-simplify]: Simplify (+ (* 1 (* 3 (/ 1 (pow y 2)))) (+ (* (- (/ 1 y)) (- (* 2 (/ 1 y)))) (* (/ 1 (pow y 2)) 1))) into (* 6 (/ 1 (pow y 2))) 0.858 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 0.858 * [taylor]: Taking taylor expansion of 6 in y 0.858 * [backup-simplify]: Simplify 6 into 6 0.859 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.859 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.859 * [taylor]: Taking taylor expansion of y in y 0.859 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify 1 into 1 0.859 * [backup-simplify]: Simplify (* 1 1) into 1 0.859 * [backup-simplify]: Simplify (/ 1 1) into 1 0.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.865 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.866 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.866 * [backup-simplify]: Simplify (- 0) into 0 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify (pow (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) 3) into (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) 0.867 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in (x y) around 0 0.867 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in y 0.867 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.867 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.867 * [taylor]: Taking taylor expansion of x in y 0.867 * [backup-simplify]: Simplify x into x 0.867 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.867 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.867 * [taylor]: Taking taylor expansion of y in y 0.867 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify 1 into 1 0.867 * [backup-simplify]: Simplify (/ 1 1) into 1 0.867 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.867 * [taylor]: Taking taylor expansion of x in y 0.867 * [backup-simplify]: Simplify x into x 0.867 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.867 * [backup-simplify]: Simplify (+ 1 0) into 1 0.867 * [backup-simplify]: Simplify (* x 1) into x 0.867 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.867 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 0.867 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.867 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.867 * [taylor]: Taking taylor expansion of x in x 0.867 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify 1 into 1 0.867 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.867 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.867 * [taylor]: Taking taylor expansion of y in x 0.868 * [backup-simplify]: Simplify y into y 0.868 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.868 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.868 * [taylor]: Taking taylor expansion of x in x 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify 1 into 1 0.868 * [backup-simplify]: Simplify (/ 1 1) into 1 0.868 * [backup-simplify]: Simplify (+ 0 1) into 1 0.868 * [backup-simplify]: Simplify (* 0 1) into 0 0.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.869 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.869 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.869 * [backup-simplify]: Simplify (/ 1 1) into 1 0.869 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 0.869 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.869 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.869 * [taylor]: Taking taylor expansion of x in x 0.869 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify 1 into 1 0.869 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.869 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.869 * [taylor]: Taking taylor expansion of y in x 0.869 * [backup-simplify]: Simplify y into y 0.869 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.869 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.869 * [taylor]: Taking taylor expansion of x in x 0.869 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify 1 into 1 0.870 * [backup-simplify]: Simplify (/ 1 1) into 1 0.870 * [backup-simplify]: Simplify (+ 0 1) into 1 0.870 * [backup-simplify]: Simplify (* 0 1) into 0 0.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.871 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.871 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.871 * [backup-simplify]: Simplify (/ 1 1) into 1 0.871 * [backup-simplify]: Simplify (* 1 1) into 1 0.872 * [backup-simplify]: Simplify (* 1 1) into 1 0.872 * [taylor]: Taking taylor expansion of 1 in y 0.872 * [backup-simplify]: Simplify 1 into 1 0.872 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.873 * [backup-simplify]: Simplify (+ 0 0) into 0 0.873 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.873 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 y))) (* (- (/ 1 y)) 1)) into (- (* 2 (/ 1 y))) 0.873 * [backup-simplify]: Simplify (+ (* 1 (- (* 2 (/ 1 y)))) (* (- (/ 1 y)) 1)) into (- (* 3 (/ 1 y))) 0.873 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 y))) in y 0.874 * [taylor]: Taking taylor expansion of (* 3 (/ 1 y)) in y 0.874 * [taylor]: Taking taylor expansion of 3 in y 0.874 * [backup-simplify]: Simplify 3 into 3 0.874 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.874 * [taylor]: Taking taylor expansion of y in y 0.874 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify 1 into 1 0.874 * [backup-simplify]: Simplify (/ 1 1) into 1 0.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.876 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.877 * [backup-simplify]: Simplify (- 0) into 0 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.877 * [backup-simplify]: Simplify (+ 0 0) into 0 0.878 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.879 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* (- (/ 1 y)) (- (/ 1 y))) (* (/ 1 (pow y 2)) 1))) into (* 3 (/ 1 (pow y 2))) 0.879 * [backup-simplify]: Simplify (+ (* 1 (* 3 (/ 1 (pow y 2)))) (+ (* (- (/ 1 y)) (- (* 2 (/ 1 y)))) (* (/ 1 (pow y 2)) 1))) into (* 6 (/ 1 (pow y 2))) 0.879 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 0.879 * [taylor]: Taking taylor expansion of 6 in y 0.879 * [backup-simplify]: Simplify 6 into 6 0.879 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.879 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.879 * [taylor]: Taking taylor expansion of y in y 0.879 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify 1 into 1 0.880 * [backup-simplify]: Simplify (* 1 1) into 1 0.880 * [backup-simplify]: Simplify (/ 1 1) into 1 0.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.886 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.887 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.887 * [backup-simplify]: Simplify (- 0) into 0 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1) 0.887 * [backup-simplify]: Simplify (/ x (+ y x)) into (/ x (+ x y)) 0.887 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.887 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.887 * [taylor]: Taking taylor expansion of x in y 0.887 * [backup-simplify]: Simplify x into x 0.887 * [taylor]: Taking taylor expansion of (+ x y) in y 0.887 * [taylor]: Taking taylor expansion of x in y 0.887 * [backup-simplify]: Simplify x into x 0.887 * [taylor]: Taking taylor expansion of y in y 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify 1 into 1 0.887 * [backup-simplify]: Simplify (+ x 0) into x 0.887 * [backup-simplify]: Simplify (/ x x) into 1 0.887 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify 1 into 1 0.888 * [taylor]: Taking taylor expansion of (+ x y) in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify 1 into 1 0.888 * [taylor]: Taking taylor expansion of y in x 0.888 * [backup-simplify]: Simplify y into y 0.888 * [backup-simplify]: Simplify (+ 0 y) into y 0.888 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.888 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify 1 into 1 0.888 * [taylor]: Taking taylor expansion of (+ x y) in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify 1 into 1 0.888 * [taylor]: Taking taylor expansion of y in x 0.888 * [backup-simplify]: Simplify y into y 0.888 * [backup-simplify]: Simplify (+ 0 y) into y 0.888 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.888 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.888 * [taylor]: Taking taylor expansion of y in y 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify 1 into 1 0.888 * [backup-simplify]: Simplify (/ 1 1) into 1 0.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify (+ 1 0) into 1 0.889 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.889 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.889 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.889 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.889 * [taylor]: Taking taylor expansion of y in y 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify 1 into 1 0.889 * [backup-simplify]: Simplify (* 1 1) into 1 0.890 * [backup-simplify]: Simplify (/ 1 1) into 1 0.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.891 * [backup-simplify]: Simplify (- 0) into 0 0.891 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.892 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify (+ 0 0) into 0 0.892 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 0.893 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.893 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.893 * [taylor]: Taking taylor expansion of y in y 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify 1 into 1 0.893 * [backup-simplify]: Simplify (* 1 1) into 1 0.893 * [backup-simplify]: Simplify (* 1 1) into 1 0.893 * [backup-simplify]: Simplify (/ 1 1) into 1 0.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.897 * [backup-simplify]: Simplify 0 into 0 0.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.899 * [backup-simplify]: Simplify (- 0) into 0 0.899 * [backup-simplify]: Simplify 0 into 0 0.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.899 * [backup-simplify]: Simplify 0 into 0 0.899 * [backup-simplify]: Simplify 0 into 0 0.899 * [backup-simplify]: Simplify (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.899 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.899 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.899 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.899 * [taylor]: Taking taylor expansion of x in y 0.899 * [backup-simplify]: Simplify x into x 0.899 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.899 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.899 * [taylor]: Taking taylor expansion of y in y 0.899 * [backup-simplify]: Simplify 0 into 0 0.899 * [backup-simplify]: Simplify 1 into 1 0.900 * [backup-simplify]: Simplify (/ 1 1) into 1 0.900 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.900 * [taylor]: Taking taylor expansion of x in y 0.900 * [backup-simplify]: Simplify x into x 0.900 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.900 * [backup-simplify]: Simplify (+ 1 0) into 1 0.900 * [backup-simplify]: Simplify (* x 1) into x 0.900 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.900 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.900 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.900 * [backup-simplify]: Simplify 0 into 0 0.900 * [backup-simplify]: Simplify 1 into 1 0.900 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.900 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.900 * [taylor]: Taking taylor expansion of y in x 0.900 * [backup-simplify]: Simplify y into y 0.900 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.900 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.900 * [backup-simplify]: Simplify 0 into 0 0.900 * [backup-simplify]: Simplify 1 into 1 0.901 * [backup-simplify]: Simplify (/ 1 1) into 1 0.901 * [backup-simplify]: Simplify (+ 0 1) into 1 0.901 * [backup-simplify]: Simplify (* 0 1) into 0 0.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.902 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.902 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.902 * [backup-simplify]: Simplify (/ 1 1) into 1 0.902 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.902 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.902 * [taylor]: Taking taylor expansion of x in x 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify 1 into 1 0.902 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.902 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.902 * [taylor]: Taking taylor expansion of y in x 0.902 * [backup-simplify]: Simplify y into y 0.902 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.902 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.902 * [taylor]: Taking taylor expansion of x in x 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify 1 into 1 0.903 * [backup-simplify]: Simplify (/ 1 1) into 1 0.903 * [backup-simplify]: Simplify (+ 0 1) into 1 0.903 * [backup-simplify]: Simplify (* 0 1) into 0 0.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.904 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.904 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.904 * [backup-simplify]: Simplify (/ 1 1) into 1 0.904 * [taylor]: Taking taylor expansion of 1 in y 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.905 * [backup-simplify]: Simplify (+ 0 0) into 0 0.905 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.905 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.906 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.906 * [taylor]: Taking taylor expansion of y in y 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 1 into 1 0.906 * [backup-simplify]: Simplify (/ 1 1) into 1 0.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.907 * [backup-simplify]: Simplify (- 0) into 0 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.908 * [backup-simplify]: Simplify (+ 0 0) into 0 0.909 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.909 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.909 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.909 * [taylor]: Taking taylor expansion of y in y 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify 1 into 1 0.909 * [backup-simplify]: Simplify (* 1 1) into 1 0.910 * [backup-simplify]: Simplify (/ 1 1) into 1 0.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.912 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.913 * [backup-simplify]: Simplify (- 0) into 0 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.913 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.913 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.913 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.913 * [taylor]: Taking taylor expansion of x in y 0.913 * [backup-simplify]: Simplify x into x 0.913 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.913 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.913 * [taylor]: Taking taylor expansion of y in y 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify 1 into 1 0.914 * [backup-simplify]: Simplify (/ 1 1) into 1 0.914 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.914 * [taylor]: Taking taylor expansion of x in y 0.914 * [backup-simplify]: Simplify x into x 0.914 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.914 * [backup-simplify]: Simplify (+ 1 0) into 1 0.914 * [backup-simplify]: Simplify (* x 1) into x 0.914 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.914 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.914 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.914 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify 1 into 1 0.914 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.914 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.914 * [taylor]: Taking taylor expansion of y in x 0.914 * [backup-simplify]: Simplify y into y 0.914 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.914 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.914 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify 1 into 1 0.915 * [backup-simplify]: Simplify (/ 1 1) into 1 0.915 * [backup-simplify]: Simplify (+ 0 1) into 1 0.915 * [backup-simplify]: Simplify (* 0 1) into 0 0.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.916 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.916 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.916 * [backup-simplify]: Simplify (/ 1 1) into 1 0.916 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.916 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify 1 into 1 0.916 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.916 * [taylor]: Taking taylor expansion of y in x 0.916 * [backup-simplify]: Simplify y into y 0.916 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.916 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify 1 into 1 0.916 * [backup-simplify]: Simplify (/ 1 1) into 1 0.917 * [backup-simplify]: Simplify (+ 0 1) into 1 0.917 * [backup-simplify]: Simplify (* 0 1) into 0 0.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.917 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.918 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.918 * [backup-simplify]: Simplify (/ 1 1) into 1 0.918 * [taylor]: Taking taylor expansion of 1 in y 0.918 * [backup-simplify]: Simplify 1 into 1 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.919 * [backup-simplify]: Simplify (+ 0 0) into 0 0.919 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.919 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.919 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.919 * [taylor]: Taking taylor expansion of y in y 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 1 into 1 0.920 * [backup-simplify]: Simplify (/ 1 1) into 1 0.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.921 * [backup-simplify]: Simplify (- 0) into 0 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.922 * [backup-simplify]: Simplify (+ 0 0) into 0 0.923 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.923 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.923 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.923 * [taylor]: Taking taylor expansion of y in y 0.923 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify 1 into 1 0.923 * [backup-simplify]: Simplify (* 1 1) into 1 0.924 * [backup-simplify]: Simplify (/ 1 1) into 1 0.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.926 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.927 * [backup-simplify]: Simplify (- 0) into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * * * [progress]: simplifying candidates 0.929 * [simplify]: Simplifying: (expm1 (cbrt (pow (/ x (+ y x)) 3))) (log1p (cbrt (pow (/ x (+ y x)) 3))) (log (cbrt (pow (/ x (+ y x)) 3))) (exp (cbrt (pow (/ x (+ y x)) 3))) (cbrt (pow (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) 3)) (cbrt (pow (cbrt (/ x (+ y x))) 3)) (cbrt (pow (sqrt (/ x (+ y x))) 3)) (cbrt (pow (sqrt (/ x (+ y x))) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) 3)) (cbrt (pow (/ (cbrt x) (cbrt (+ y x))) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) 3)) (cbrt (pow (/ (cbrt x) (sqrt (+ y x))) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) 1) 3)) (cbrt (pow (/ (cbrt x) (+ y x)) 3)) (cbrt (pow (/ (* 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h0)) (cbrt (+ h1 h0)))) (/ (sqrt h0) (cbrt (+ h1 h0))) (/ (sqrt h0) (sqrt (+ h1 h0))) (/ (sqrt h0) (sqrt (+ h1 h0))) (/ (sqrt h0) 1) (/ (sqrt h0) (+ h1 h0)) (/ (sqrt h0) 1) (/ (sqrt h0) (+ h1 h0)) (/ 1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ h0 (cbrt (+ h1 h0))) (/ 1 (sqrt (+ h1 h0))) (/ h0 (sqrt (+ h1 h0))) (/ 1 1) (/ h0 (+ h1 h0)) (/ 1 1) (/ h0 (+ h1 h0)) (/ 1 (+ h1 h0)) (/ (+ h1 h0) h0) (/ h0 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (/ h0 (sqrt (+ h1 h0))) (/ h0 1) (/ h0 1) (/ (+ h1 h0) (cbrt h0)) (/ (+ h1 h0) (sqrt h0)) (/ (+ h1 h0) h0) (/ h0 (+ (pow h1 3) (pow h0 3))) (/ h0 (- (* h1 h1) (* h0 h0))) 0 0 0 0 0 0 0 0 0 0.936 * * [simplify]: iteration 0 : 396 enodes (cost 820 ) 0.944 * * [simplify]: iteration 1 : 1788 enodes (cost 741 ) 0.976 * * [simplify]: iteration 2 : 5002 enodes (cost 733 ) 0.983 * * * [progress]: adding candidates to table 1.179 * [progress]: [Phase 3 of 3] Extracting. 1.179 * * [regime]: Finding splitpoints for: (# # #) 1.180 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ y x)) y x) 1.180 * * * * [regimes]: Trying to branch on (/ x (+ y x)) from (# # #) 1.193 * * * * [regimes]: Trying to branch on y from (# # #) 1.205 * * * * [regimes]: Trying to branch on x from (# # #) 1.218 * * * [regime]: Found split indices: #