6.021 * [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 ) 0.016 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.016 * * [progress]: iteration 1 / 4 0.016 * * * [progress]: picking best candidate 0.017 * * * * [pick]: Picked # 0.017 * * * [progress]: localizing error 0.023 * * * [progress]: generating rewritten candidates 0.023 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.035 * * * [progress]: generating series expansions 0.035 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.035 * [backup-simplify]: Simplify (/ x (+ y x)) into (/ x (+ x y)) 0.035 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.035 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.035 * [taylor]: Taking taylor expansion of x in y 0.035 * [backup-simplify]: Simplify x into x 0.035 * [taylor]: Taking taylor expansion of (+ x y) in y 0.035 * [taylor]: Taking taylor expansion of x in y 0.035 * [backup-simplify]: Simplify x into x 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 (+ x 0) into x 0.035 * [backup-simplify]: Simplify (/ x x) into 1 0.035 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [backup-simplify]: Simplify 0 into 0 0.035 * [backup-simplify]: Simplify 1 into 1 0.035 * [taylor]: Taking taylor expansion of (+ x y) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [backup-simplify]: Simplify 0 into 0 0.035 * [backup-simplify]: Simplify 1 into 1 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [backup-simplify]: Simplify y into y 0.035 * [backup-simplify]: Simplify (+ 0 y) into y 0.035 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.035 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [backup-simplify]: Simplify 0 into 0 0.035 * [backup-simplify]: Simplify 1 into 1 0.035 * [taylor]: Taking taylor expansion of (+ x y) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [backup-simplify]: Simplify 0 into 0 0.035 * [backup-simplify]: Simplify 1 into 1 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [backup-simplify]: Simplify y into y 0.035 * [backup-simplify]: Simplify (+ 0 y) into y 0.035 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.036 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.036 * [backup-simplify]: Simplify 0 into 0 0.036 * [backup-simplify]: Simplify 1 into 1 0.036 * [backup-simplify]: Simplify (/ 1 1) into 1 0.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.037 * [backup-simplify]: Simplify 0 into 0 0.037 * [backup-simplify]: Simplify (+ 1 0) into 1 0.037 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.037 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.037 * [backup-simplify]: Simplify 0 into 0 0.037 * [backup-simplify]: Simplify 1 into 1 0.037 * [backup-simplify]: Simplify (* 1 1) into 1 0.038 * [backup-simplify]: Simplify (/ 1 1) into 1 0.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.040 * [backup-simplify]: Simplify (- 0) into 0 0.040 * [backup-simplify]: Simplify 0 into 0 0.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.040 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify (+ 0 0) into 0 0.041 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.041 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify 1 into 1 0.041 * [backup-simplify]: Simplify (* 1 1) into 1 0.042 * [backup-simplify]: Simplify (* 1 1) into 1 0.042 * [backup-simplify]: Simplify (/ 1 1) into 1 0.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.047 * [backup-simplify]: Simplify (- 0) into 0 0.047 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.048 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.048 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.048 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.048 * [taylor]: Taking taylor expansion of x in y 0.048 * [backup-simplify]: Simplify x into x 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.048 * [taylor]: Taking taylor expansion of y in y 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 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.048 * [taylor]: Taking taylor expansion of x in y 0.048 * [backup-simplify]: Simplify x into x 0.048 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.049 * [backup-simplify]: Simplify (+ 1 0) into 1 0.049 * [backup-simplify]: Simplify (* x 1) into x 0.049 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.049 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.049 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [backup-simplify]: Simplify y into y 0.049 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [backup-simplify]: Simplify (/ 1 1) into 1 0.050 * [backup-simplify]: Simplify (+ 0 1) into 1 0.050 * [backup-simplify]: Simplify (* 0 1) into 0 0.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.050 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.051 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.051 * [backup-simplify]: Simplify (/ 1 1) into 1 0.051 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.051 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [backup-simplify]: Simplify y into y 0.051 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify (/ 1 1) into 1 0.052 * [backup-simplify]: Simplify (+ 0 1) into 1 0.052 * [backup-simplify]: Simplify (* 0 1) into 0 0.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.052 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.053 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.053 * [backup-simplify]: Simplify (/ 1 1) into 1 0.053 * [taylor]: Taking taylor expansion of 1 in y 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.054 * [backup-simplify]: Simplify (+ 0 0) into 0 0.054 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.054 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) 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 (/ 0 1)))) into 0 0.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.056 * [backup-simplify]: Simplify (- 0) into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.057 * [backup-simplify]: Simplify (+ 0 0) into 0 0.057 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.058 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [backup-simplify]: Simplify (* 1 1) into 1 0.058 * [backup-simplify]: Simplify (/ 1 1) into 1 0.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.062 * [backup-simplify]: Simplify (- 0) into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.062 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.062 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.062 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.062 * [taylor]: Taking taylor expansion of x in y 0.062 * [backup-simplify]: Simplify x into x 0.062 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.062 * [backup-simplify]: Simplify (/ 1 1) into 1 0.062 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.062 * [taylor]: Taking taylor expansion of x in y 0.062 * [backup-simplify]: Simplify x into x 0.062 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.063 * [backup-simplify]: Simplify (+ 1 0) into 1 0.063 * [backup-simplify]: Simplify (* x 1) into x 0.063 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.063 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.063 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [backup-simplify]: Simplify y into y 0.063 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [backup-simplify]: Simplify (/ 1 1) into 1 0.063 * [backup-simplify]: Simplify (+ 0 1) into 1 0.064 * [backup-simplify]: Simplify (* 0 1) into 0 0.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.064 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.064 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.065 * [backup-simplify]: Simplify (/ 1 1) into 1 0.065 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.065 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [backup-simplify]: Simplify y into y 0.065 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [backup-simplify]: Simplify (/ 1 1) into 1 0.065 * [backup-simplify]: Simplify (+ 0 1) into 1 0.066 * [backup-simplify]: Simplify (* 0 1) into 0 0.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.066 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.066 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.066 * [backup-simplify]: Simplify (/ 1 1) into 1 0.067 * [taylor]: Taking taylor expansion of 1 in y 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.067 * [backup-simplify]: Simplify (+ 0 0) into 0 0.068 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.068 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.068 * [backup-simplify]: Simplify (/ 1 1) into 1 0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify (- 0) into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify (+ 0 0) into 0 0.071 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.072 * [backup-simplify]: Simplify (* 1 1) into 1 0.072 * [backup-simplify]: Simplify (/ 1 1) into 1 0.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.075 * [backup-simplify]: Simplify (- 0) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * * * [progress]: simplifying candidates 0.076 * [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 0.076 * [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 0.080 * * [simplify]: iteration 0 : 121 enodes (cost 159 ) 0.082 * * [simplify]: iteration 1 : 391 enodes (cost 150 ) 0.088 * * [simplify]: iteration 2 : 1069 enodes (cost 150 ) 0.107 * * [simplify]: iteration 3 : 3853 enodes (cost 150 ) 0.156 * * [simplify]: iteration 4 : 5001 enodes (cost 150 ) 0.157 * * * [progress]: adding candidates to table 0.213 * * [progress]: iteration 2 / 4 0.213 * * * [progress]: picking best candidate 0.217 * * * * [pick]: Picked # 0.217 * * * [progress]: localizing error 0.226 * * * [progress]: generating rewritten candidates 0.226 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.227 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.237 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.239 * * * [progress]: generating series expansions 0.239 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.239 * [backup-simplify]: Simplify (expm1 (log1p (/ x (+ y x)))) into (expm1 (log1p (/ x (+ x y)))) 0.239 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ x (+ x y)))) in (x y) around 0 0.239 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ x (+ x y)))) in y 0.239 * [taylor]: Rewrote expression to (- (exp (log1p (/ x (+ x y)))) 1) 0.239 * [taylor]: Taking taylor expansion of (exp (log1p (/ x (+ x y)))) in y 0.239 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in y 0.239 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.239 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in y 0.239 * [taylor]: Taking taylor expansion of 1 in y 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.239 * [taylor]: Taking taylor expansion of x in y 0.239 * [backup-simplify]: Simplify x into x 0.239 * [taylor]: Taking taylor expansion of (+ x y) in y 0.239 * [taylor]: Taking taylor expansion of x in y 0.239 * [backup-simplify]: Simplify x into x 0.239 * [taylor]: Taking taylor expansion of y in y 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify (+ x 0) into x 0.240 * [backup-simplify]: Simplify (/ x x) into 1 0.240 * [backup-simplify]: Simplify (+ 1 1) into 2 0.240 * [backup-simplify]: Simplify (log 2) into (log 2) 0.241 * [backup-simplify]: Simplify (exp (log 2)) into 2 0.241 * [taylor]: Taking taylor expansion of 1 in y 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ x (+ x y)))) in x 0.241 * [taylor]: Rewrote expression to (- (exp (log1p (/ x (+ x y)))) 1) 0.241 * [taylor]: Taking taylor expansion of (exp (log1p (/ x (+ x y)))) in x 0.241 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in x 0.241 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.241 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in x 0.241 * [taylor]: Taking taylor expansion of 1 in x 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [taylor]: Taking taylor expansion of (+ x y) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [taylor]: Taking taylor expansion of y in x 0.241 * [backup-simplify]: Simplify y into y 0.241 * [backup-simplify]: Simplify (+ 0 y) into y 0.241 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.242 * [backup-simplify]: Simplify (+ 1 0) into 1 0.242 * [backup-simplify]: Simplify (log 1) into 0 0.242 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.242 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 y)) 1)) (pow 1 1)))) 1) into (/ 1 y) 0.242 * [backup-simplify]: Simplify (exp 0) into 1 0.242 * [taylor]: Taking taylor expansion of 1 in x 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ x (+ x y)))) in x 0.242 * [taylor]: Rewrote expression to (- (exp (log1p (/ x (+ x y)))) 1) 0.242 * [taylor]: Taking taylor expansion of (exp (log1p (/ x (+ x y)))) in x 0.242 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in x 0.243 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.243 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in x 0.243 * [taylor]: Taking taylor expansion of 1 in x 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [taylor]: Taking taylor expansion of (+ x y) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [taylor]: Taking taylor expansion of y in x 0.243 * [backup-simplify]: Simplify y into y 0.243 * [backup-simplify]: Simplify (+ 0 y) into y 0.243 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.243 * [backup-simplify]: Simplify (+ 1 0) into 1 0.243 * [backup-simplify]: Simplify (log 1) into 0 0.243 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.244 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 y)) 1)) (pow 1 1)))) 1) into (/ 1 y) 0.244 * [backup-simplify]: Simplify (exp 0) into 1 0.244 * [taylor]: Taking taylor expansion of 1 in x 0.244 * [backup-simplify]: Simplify 1 into 1 0.244 * [backup-simplify]: Simplify (- 1) into -1 0.244 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.244 * [taylor]: Taking taylor expansion of 0 in y 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 y) 1) 1)))) into (/ 1 y) 0.245 * [backup-simplify]: Simplify (- 0) into 0 0.245 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 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 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify (+ 1 0) into 1 0.246 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.246 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.247 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 y)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (/ 1 (pow y 2)))) 1)) (pow 1 1)))) 2) into (/ -3/2 (pow y 2)) 0.247 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 y) 2) 2)) (* (/ (pow (/ -3/2 (pow y 2)) 1) 1)))) into (/ -1 (pow y 2)) 0.247 * [backup-simplify]: Simplify (- 0) into 0 0.248 * [backup-simplify]: Simplify (+ (/ -1 (pow y 2)) 0) into (- (/ 1 (pow y 2))) 0.248 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.248 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.248 * [taylor]: Taking taylor expansion of y in y 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 (/ 1 1) into 1 0.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.250 * [backup-simplify]: Simplify (- 0) into 0 0.250 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify (expm1 (log1p (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))))) into (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.251 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in (x y) around 0 0.251 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.251 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.251 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.251 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.251 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.251 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.251 * [taylor]: Taking taylor expansion of 1 in y 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.251 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.251 * [taylor]: Taking taylor expansion of x in y 0.251 * [backup-simplify]: Simplify x into x 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) 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 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.252 * [taylor]: Taking taylor expansion of x in y 0.252 * [backup-simplify]: Simplify x into x 0.252 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.252 * [backup-simplify]: Simplify (+ 1 0) into 1 0.252 * [backup-simplify]: Simplify (* x 1) into x 0.252 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.252 * [backup-simplify]: Simplify (+ 1 0) into 1 0.252 * [backup-simplify]: Simplify (log 1) into 0 0.253 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 0.253 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 x)) 1)) (pow 1 1)))) 1) into (/ 1 x) 0.253 * [backup-simplify]: Simplify (exp 0) into 1 0.253 * [taylor]: Taking taylor expansion of 1 in y 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.253 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.253 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.253 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.253 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.253 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.253 * [taylor]: Taking taylor expansion of 1 in x 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.253 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.253 * [backup-simplify]: Simplify y into y 0.253 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.253 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (/ 1 1) into 1 0.254 * [backup-simplify]: Simplify (+ 0 1) into 1 0.254 * [backup-simplify]: Simplify (* 0 1) into 0 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.255 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.255 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.255 * [backup-simplify]: Simplify (/ 1 1) into 1 0.255 * [backup-simplify]: Simplify (+ 1 1) into 2 0.256 * [backup-simplify]: Simplify (log 2) into (log 2) 0.256 * [backup-simplify]: Simplify (exp (log 2)) into 2 0.256 * [taylor]: Taking taylor expansion of 1 in x 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.256 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.256 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.256 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.256 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.256 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.256 * [taylor]: Taking taylor expansion of 1 in x 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.257 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.257 * [taylor]: Taking taylor expansion of y in x 0.257 * [backup-simplify]: Simplify y into y 0.257 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.257 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (/ 1 1) into 1 0.257 * [backup-simplify]: Simplify (+ 0 1) into 1 0.258 * [backup-simplify]: Simplify (* 0 1) into 0 0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.258 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.259 * [backup-simplify]: Simplify (/ 1 1) into 1 0.259 * [backup-simplify]: Simplify (+ 1 1) into 2 0.259 * [backup-simplify]: Simplify (log 2) into (log 2) 0.260 * [backup-simplify]: Simplify (exp (log 2)) into 2 0.260 * [taylor]: Taking taylor expansion of 1 in x 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (- 1) into -1 0.260 * [backup-simplify]: Simplify (+ 2 -1) into 1 0.260 * [taylor]: Taking taylor expansion of 1 in y 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.262 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.262 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 y))) 1)) (pow 2 1)))) 1) into (/ -1/2 y) 0.263 * [backup-simplify]: Simplify (* (exp (log 2)) (+ (* (/ (pow (/ -1/2 y) 1) 1)))) into (/ -1 y) 0.263 * [backup-simplify]: Simplify (- 0) into 0 0.263 * [backup-simplify]: Simplify (+ (/ -1 y) 0) into (- (/ 1 y)) 0.263 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (/ 1 1) into 1 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (- 0) into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.266 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.267 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 y))) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 2 1)))) 2) into (/ 3/8 (pow y 2)) 0.268 * [backup-simplify]: Simplify (* (exp (log 2)) (+ (* (/ (pow (/ -1/2 y) 2) 2)) (* (/ (pow (/ 3/8 (pow y 2)) 1) 1)))) into (/ 1 (pow y 2)) 0.268 * [backup-simplify]: Simplify (- 0) into 0 0.268 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.268 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (* 1 1) into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (- 0) into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 0.274 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 3)))) into (- (/ 1 (pow y 3))) 0.275 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 y))) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 y))) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (/ 1 (pow y 3)))) 1)) (pow 2 1)))) 6) into (/ -7/24 (pow y 3)) 0.276 * [backup-simplify]: Simplify (* (exp (log 2)) (+ (* (/ (pow (/ -1/2 y) 3) 6)) (* (/ (pow (/ -1/2 y) 1) 1) (/ (pow (/ 3/8 (pow y 2)) 1) 1)) (* (/ (pow (/ -7/24 (pow y 3)) 1) 1)))) into (/ -1 (pow y 3)) 0.277 * [backup-simplify]: Simplify (- 0) into 0 0.277 * [backup-simplify]: Simplify (+ (/ -1 (pow y 3)) 0) into (- (/ 1 (pow y 3))) 0.277 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.277 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify (* 1 1) into 1 0.277 * [backup-simplify]: Simplify (* 1 1) into 1 0.277 * [backup-simplify]: Simplify (/ 1 1) into 1 0.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (- 0) into 0 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (expm1 (log1p (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))))) into (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.282 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in (x y) around 0 0.282 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.282 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.282 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 0.282 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.282 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.282 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.282 * [taylor]: Taking taylor expansion of 1 in y 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.282 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.282 * [taylor]: Taking taylor expansion of x in y 0.282 * [backup-simplify]: Simplify x into x 0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.282 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (/ 1 1) into 1 0.283 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.283 * [taylor]: Taking taylor expansion of x in y 0.283 * [backup-simplify]: Simplify x into x 0.283 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.283 * [backup-simplify]: Simplify (+ 1 0) into 1 0.283 * [backup-simplify]: Simplify (* x 1) into x 0.283 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.283 * [backup-simplify]: Simplify (+ 1 0) into 1 0.284 * [backup-simplify]: Simplify (log 1) into 0 0.284 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 0.284 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 x)) 1)) (pow 1 1)))) 1) into (/ 1 x) 0.284 * [backup-simplify]: Simplify (exp 0) into 1 0.284 * [taylor]: Taking taylor expansion of 1 in y 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.284 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.284 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.284 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.284 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.284 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.284 * [taylor]: Taking taylor expansion of 1 in x 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.284 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.284 * [taylor]: Taking taylor expansion of y in x 0.284 * [backup-simplify]: Simplify y into y 0.284 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (/ 1 1) into 1 0.285 * [backup-simplify]: Simplify (+ 0 1) into 1 0.285 * [backup-simplify]: Simplify (* 0 1) into 0 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.286 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.286 * [backup-simplify]: Simplify (/ 1 1) into 1 0.286 * [backup-simplify]: Simplify (+ 1 1) into 2 0.287 * [backup-simplify]: Simplify (log 2) into (log 2) 0.287 * [backup-simplify]: Simplify (exp (log 2)) into 2 0.287 * [taylor]: Taking taylor expansion of 1 in x 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.287 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 0.287 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 0.287 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.287 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.288 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.288 * [taylor]: Taking taylor expansion of 1 in x 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.288 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.288 * [taylor]: Taking taylor expansion of y in x 0.288 * [backup-simplify]: Simplify y into y 0.288 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (/ 1 1) into 1 0.288 * [backup-simplify]: Simplify (+ 0 1) into 1 0.289 * [backup-simplify]: Simplify (* 0 1) into 0 0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.289 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.290 * [backup-simplify]: Simplify (/ 1 1) into 1 0.290 * [backup-simplify]: Simplify (+ 1 1) into 2 0.290 * [backup-simplify]: Simplify (log 2) into (log 2) 0.291 * [backup-simplify]: Simplify (exp (log 2)) into 2 0.291 * [taylor]: Taking taylor expansion of 1 in x 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (- 1) into -1 0.291 * [backup-simplify]: Simplify (+ 2 -1) into 1 0.291 * [taylor]: Taking taylor expansion of 1 in y 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.293 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.293 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 y))) 1)) (pow 2 1)))) 1) into (/ -1/2 y) 0.294 * [backup-simplify]: Simplify (* (exp (log 2)) (+ (* (/ (pow (/ -1/2 y) 1) 1)))) into (/ -1 y) 0.294 * [backup-simplify]: Simplify (- 0) into 0 0.294 * [backup-simplify]: Simplify (+ (/ -1 y) 0) into (- (/ 1 y)) 0.294 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.294 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (/ 1 1) into 1 0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (- 0) into 0 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.297 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.298 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 y))) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 2 1)))) 2) into (/ 3/8 (pow y 2)) 0.299 * [backup-simplify]: Simplify (* (exp (log 2)) (+ (* (/ (pow (/ -1/2 y) 2) 2)) (* (/ (pow (/ 3/8 (pow y 2)) 1) 1)))) into (/ 1 (pow y 2)) 0.299 * [backup-simplify]: Simplify (- 0) into 0 0.299 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.299 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.299 * [taylor]: Taking taylor expansion of y in y 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (* 1 1) into 1 0.300 * [backup-simplify]: Simplify (/ 1 1) into 1 0.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (- 0) into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.304 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 0.305 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 3)))) into (- (/ 1 (pow y 3))) 0.307 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 y))) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 y))) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (/ 1 (pow y 3)))) 1)) (pow 2 1)))) 6) into (/ -7/24 (pow y 3)) 0.308 * [backup-simplify]: Simplify (* (exp (log 2)) (+ (* (/ (pow (/ -1/2 y) 3) 6)) (* (/ (pow (/ -1/2 y) 1) 1) (/ (pow (/ 3/8 (pow y 2)) 1) 1)) (* (/ (pow (/ -7/24 (pow y 3)) 1) 1)))) into (/ -1 (pow y 3)) 0.308 * [backup-simplify]: Simplify (- 0) into 0 0.308 * [backup-simplify]: Simplify (+ (/ -1 (pow y 3)) 0) into (- (/ 1 (pow y 3))) 0.308 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.308 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (* 1 1) into 1 0.309 * [backup-simplify]: Simplify (* 1 1) into 1 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (- 0) into 0 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.317 * [backup-simplify]: Simplify (/ x (+ y x)) into (/ x (+ x y)) 0.317 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.317 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.317 * [taylor]: Taking taylor expansion of x in y 0.317 * [backup-simplify]: Simplify x into x 0.317 * [taylor]: Taking taylor expansion of (+ x y) in y 0.317 * [taylor]: Taking taylor expansion of x in y 0.317 * [backup-simplify]: Simplify x into x 0.317 * [taylor]: Taking taylor expansion of y in y 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify (+ x 0) into x 0.317 * [backup-simplify]: Simplify (/ x x) into 1 0.317 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [taylor]: Taking taylor expansion of (+ x y) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [taylor]: Taking taylor expansion of y in x 0.317 * [backup-simplify]: Simplify y into y 0.317 * [backup-simplify]: Simplify (+ 0 y) into y 0.317 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.317 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [taylor]: Taking taylor expansion of (+ x y) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [taylor]: Taking taylor expansion of y in x 0.318 * [backup-simplify]: Simplify y into y 0.318 * [backup-simplify]: Simplify (+ 0 y) into y 0.318 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.318 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (/ 1 1) into 1 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify (+ 1 0) into 1 0.319 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.319 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.319 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (* 1 1) into 1 0.319 * [backup-simplify]: Simplify (/ 1 1) into 1 0.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (- 0) into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify (+ 0 0) into 0 0.322 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.322 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.322 * [taylor]: Taking taylor expansion of y in y 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify (* 1 1) into 1 0.323 * [backup-simplify]: Simplify (* 1 1) into 1 0.323 * [backup-simplify]: Simplify (/ 1 1) into 1 0.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (- 0) into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.329 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.329 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.329 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.329 * [taylor]: Taking taylor expansion of x in y 0.329 * [backup-simplify]: Simplify x into x 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (/ 1 1) into 1 0.330 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.330 * [taylor]: Taking taylor expansion of x in y 0.330 * [backup-simplify]: Simplify x into x 0.330 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.330 * [backup-simplify]: Simplify (+ 1 0) into 1 0.330 * [backup-simplify]: Simplify (* x 1) into x 0.330 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.330 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.330 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.330 * [backup-simplify]: Simplify y into y 0.330 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify (/ 1 1) into 1 0.331 * [backup-simplify]: Simplify (+ 0 1) into 1 0.331 * [backup-simplify]: Simplify (* 0 1) into 0 0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.332 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.332 * [backup-simplify]: Simplify (/ 1 1) into 1 0.332 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.332 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.332 * [taylor]: Taking taylor expansion of y in x 0.332 * [backup-simplify]: Simplify y into y 0.332 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (/ 1 1) into 1 0.333 * [backup-simplify]: Simplify (+ 0 1) into 1 0.333 * [backup-simplify]: Simplify (* 0 1) into 0 0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.333 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.333 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [taylor]: Taking taylor expansion of 1 in y 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.335 * [backup-simplify]: Simplify (+ 0 0) into 0 0.335 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.335 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.335 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (/ 1 1) into 1 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (- 0) into 0 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.338 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (* 1 1) into 1 0.339 * [backup-simplify]: Simplify (/ 1 1) into 1 0.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (- 0) into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.343 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.343 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.343 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.343 * [taylor]: Taking taylor expansion of x in y 0.343 * [backup-simplify]: Simplify x into x 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.343 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [backup-simplify]: Simplify (/ 1 1) into 1 0.343 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.343 * [taylor]: Taking taylor expansion of x in y 0.343 * [backup-simplify]: Simplify x into x 0.343 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.344 * [backup-simplify]: Simplify (+ 1 0) into 1 0.344 * [backup-simplify]: Simplify (* x 1) into x 0.344 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.344 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.344 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.344 * [backup-simplify]: Simplify y into y 0.344 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify (/ 1 1) into 1 0.344 * [backup-simplify]: Simplify (+ 0 1) into 1 0.345 * [backup-simplify]: Simplify (* 0 1) into 0 0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.345 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.346 * [backup-simplify]: Simplify (/ 1 1) into 1 0.346 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.346 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 1 into 1 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [backup-simplify]: Simplify y into y 0.346 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 1 into 1 0.346 * [backup-simplify]: Simplify (/ 1 1) into 1 0.346 * [backup-simplify]: Simplify (+ 0 1) into 1 0.346 * [backup-simplify]: Simplify (* 0 1) into 0 0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.347 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.347 * [backup-simplify]: Simplify (/ 1 1) into 1 0.347 * [taylor]: Taking taylor expansion of 1 in y 0.348 * [backup-simplify]: Simplify 1 into 1 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.348 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.349 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (/ 1 1) into 1 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (- 0) into 0 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.351 * [backup-simplify]: Simplify (+ 0 0) into 0 0.352 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.352 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.352 * [taylor]: Taking taylor expansion of y in y 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 1 into 1 0.353 * [backup-simplify]: Simplify (* 1 1) into 1 0.353 * [backup-simplify]: Simplify (/ 1 1) into 1 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (- 0) into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.357 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.357 * [backup-simplify]: Simplify (log1p (/ x (+ y x))) into (log1p (/ x (+ x y))) 0.357 * [approximate]: Taking taylor expansion of (log1p (/ x (+ x y))) in (x y) around 0 0.357 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in y 0.357 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.357 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in y 0.357 * [taylor]: Taking taylor expansion of 1 in y 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.357 * [taylor]: Taking taylor expansion of x in y 0.357 * [backup-simplify]: Simplify x into x 0.357 * [taylor]: Taking taylor expansion of (+ x y) in y 0.357 * [taylor]: Taking taylor expansion of x in y 0.357 * [backup-simplify]: Simplify x into x 0.357 * [taylor]: Taking taylor expansion of y in y 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify (+ x 0) into x 0.357 * [backup-simplify]: Simplify (/ x x) into 1 0.357 * [backup-simplify]: Simplify (+ 1 1) into 2 0.358 * [backup-simplify]: Simplify (log 2) into (log 2) 0.358 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in x 0.358 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.358 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in x 0.358 * [taylor]: Taking taylor expansion of 1 in x 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [taylor]: Taking taylor expansion of (+ x y) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [taylor]: Taking taylor expansion of y in x 0.358 * [backup-simplify]: Simplify y into y 0.358 * [backup-simplify]: Simplify (+ 0 y) into y 0.358 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.358 * [backup-simplify]: Simplify (+ 1 0) into 1 0.359 * [backup-simplify]: Simplify (log 1) into 0 0.359 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in x 0.359 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 0.359 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in x 0.359 * [taylor]: Taking taylor expansion of 1 in x 0.359 * [backup-simplify]: Simplify 1 into 1 0.359 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 1 into 1 0.359 * [taylor]: Taking taylor expansion of (+ x y) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 1 into 1 0.359 * [taylor]: Taking taylor expansion of y in x 0.359 * [backup-simplify]: Simplify y into y 0.359 * [backup-simplify]: Simplify (+ 0 y) into y 0.359 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.359 * [backup-simplify]: Simplify (+ 1 0) into 1 0.359 * [backup-simplify]: Simplify (log 1) into 0 0.359 * [taylor]: Taking taylor expansion of 0 in y 0.359 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.360 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 y)) 1)) (pow 1 1)))) 1) into (/ 1 y) 0.360 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.360 * [taylor]: Taking taylor expansion of y in y 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 1 into 1 0.360 * [backup-simplify]: Simplify (/ 1 1) into 1 0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (+ 1 0) into 1 0.361 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.361 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.362 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 y)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (/ 1 (pow y 2)))) 1)) (pow 1 1)))) 2) into (/ -3/2 (pow y 2)) 0.362 * [taylor]: Taking taylor expansion of (/ -3/2 (pow y 2)) in y 0.362 * [taylor]: Taking taylor expansion of -3/2 in y 0.362 * [backup-simplify]: Simplify -3/2 into -3/2 0.362 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.362 * [taylor]: Taking taylor expansion of y in y 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [backup-simplify]: Simplify (* 1 1) into 1 0.363 * [backup-simplify]: Simplify (/ -3/2 1) into -3/2 0.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3/2 (/ 0 1)))) into 0 0.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -3/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify (log1p (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))) into (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 0.365 * [approximate]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.365 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.365 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.365 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.365 * [taylor]: Taking taylor expansion of 1 in y 0.365 * [backup-simplify]: Simplify 1 into 1 0.365 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.365 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.365 * [taylor]: Taking taylor expansion of x in y 0.365 * [backup-simplify]: Simplify x into x 0.365 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.365 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.366 * [taylor]: Taking taylor expansion of y in y 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 1 into 1 0.366 * [backup-simplify]: Simplify (/ 1 1) into 1 0.366 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.366 * [taylor]: Taking taylor expansion of x in y 0.366 * [backup-simplify]: Simplify x into x 0.366 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.366 * [backup-simplify]: Simplify (+ 1 0) into 1 0.366 * [backup-simplify]: Simplify (* x 1) into x 0.366 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.366 * [backup-simplify]: Simplify (+ 1 0) into 1 0.367 * [backup-simplify]: Simplify (log 1) into 0 0.367 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.367 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.367 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.367 * [taylor]: Taking taylor expansion of 1 in x 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.367 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.367 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.367 * [taylor]: Taking taylor expansion of y in x 0.367 * [backup-simplify]: Simplify y into y 0.367 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [backup-simplify]: Simplify (/ 1 1) into 1 0.368 * [backup-simplify]: Simplify (+ 0 1) into 1 0.368 * [backup-simplify]: Simplify (* 0 1) into 0 0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.368 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.369 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.369 * [backup-simplify]: Simplify (/ 1 1) into 1 0.369 * [backup-simplify]: Simplify (+ 1 1) into 2 0.369 * [backup-simplify]: Simplify (log 2) into (log 2) 0.369 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.369 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.369 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.369 * [taylor]: Taking taylor expansion of 1 in x 0.369 * [backup-simplify]: Simplify 1 into 1 0.369 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.369 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 1 into 1 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.369 * [taylor]: Taking taylor expansion of y in x 0.369 * [backup-simplify]: Simplify y into y 0.370 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.370 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (/ 1 1) into 1 0.370 * [backup-simplify]: Simplify (+ 0 1) into 1 0.370 * [backup-simplify]: Simplify (* 0 1) into 0 0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.371 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.371 * [backup-simplify]: Simplify (/ 1 1) into 1 0.371 * [backup-simplify]: Simplify (+ 1 1) into 2 0.372 * [backup-simplify]: Simplify (log 2) into (log 2) 0.372 * [taylor]: Taking taylor expansion of (log 2) in y 0.372 * [taylor]: Taking taylor expansion of 2 in y 0.372 * [backup-simplify]: Simplify 2 into 2 0.372 * [backup-simplify]: Simplify (log 2) into (log 2) 0.372 * [backup-simplify]: Simplify (log 2) into (log 2) 0.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (+ 0 0) into 0 0.374 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.374 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.374 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 y))) 1)) (pow 2 1)))) 1) into (/ -1/2 y) 0.374 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.374 * [taylor]: Taking taylor expansion of -1/2 in y 0.374 * [backup-simplify]: Simplify -1/2 into -1/2 0.374 * [taylor]: Taking taylor expansion of y in y 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify 1 into 1 0.375 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (+ 0 0) into 0 0.377 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.378 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.379 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 y))) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 2 1)))) 2) into (/ 3/8 (pow y 2)) 0.379 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.379 * [taylor]: Taking taylor expansion of 3/8 in y 0.379 * [backup-simplify]: Simplify 3/8 into 3/8 0.379 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 1 into 1 0.379 * [backup-simplify]: Simplify (* 1 1) into 1 0.379 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 0.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 0.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.381 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify (+ 0 0) into 0 0.385 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 0.386 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 3)))) into (- (/ 1 (pow y 3))) 0.388 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 y))) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 y))) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (/ 1 (pow y 3)))) 1)) (pow 2 1)))) 6) into (/ -7/24 (pow y 3)) 0.388 * [taylor]: Taking taylor expansion of (/ -7/24 (pow y 3)) in y 0.388 * [taylor]: Taking taylor expansion of -7/24 in y 0.388 * [backup-simplify]: Simplify -7/24 into -7/24 0.388 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.388 * [taylor]: Taking taylor expansion of y in y 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 1 into 1 0.388 * [backup-simplify]: Simplify (* 1 1) into 1 0.388 * [backup-simplify]: Simplify (* 1 1) into 1 0.388 * [backup-simplify]: Simplify (/ -7/24 1) into -7/24 0.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -7/24 (/ 0 1)))) into 0 0.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -7/24 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -7/24 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify (log 2) into (log 2) 0.393 * [backup-simplify]: Simplify (log1p (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))) into (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 0.393 * [approximate]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.393 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.393 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.393 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 0.393 * [taylor]: Taking taylor expansion of 1 in y 0.393 * [backup-simplify]: Simplify 1 into 1 0.393 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.393 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.393 * [taylor]: Taking taylor expansion of x in y 0.393 * [backup-simplify]: Simplify x into x 0.393 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.393 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.393 * [taylor]: Taking taylor expansion of y in y 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 1 into 1 0.394 * [backup-simplify]: Simplify (/ 1 1) into 1 0.394 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.394 * [taylor]: Taking taylor expansion of x in y 0.394 * [backup-simplify]: Simplify x into x 0.394 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.394 * [backup-simplify]: Simplify (+ 1 0) into 1 0.394 * [backup-simplify]: Simplify (* x 1) into x 0.394 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.394 * [backup-simplify]: Simplify (+ 1 0) into 1 0.395 * [backup-simplify]: Simplify (log 1) into 0 0.395 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.395 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.395 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.395 * [taylor]: Taking taylor expansion of 1 in x 0.395 * [backup-simplify]: Simplify 1 into 1 0.395 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.395 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 1 into 1 0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.395 * [taylor]: Taking taylor expansion of y in x 0.395 * [backup-simplify]: Simplify y into y 0.395 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.395 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 1 into 1 0.395 * [backup-simplify]: Simplify (/ 1 1) into 1 0.395 * [backup-simplify]: Simplify (+ 0 1) into 1 0.396 * [backup-simplify]: Simplify (* 0 1) into 0 0.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.396 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.396 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.397 * [backup-simplify]: Simplify (/ 1 1) into 1 0.397 * [backup-simplify]: Simplify (+ 1 1) into 2 0.397 * [backup-simplify]: Simplify (log 2) into (log 2) 0.397 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.397 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 0.397 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 0.397 * [taylor]: Taking taylor expansion of 1 in x 0.397 * [backup-simplify]: Simplify 1 into 1 0.397 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.397 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify 1 into 1 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.397 * [taylor]: Taking taylor expansion of y in x 0.397 * [backup-simplify]: Simplify y into y 0.397 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify 1 into 1 0.398 * [backup-simplify]: Simplify (/ 1 1) into 1 0.398 * [backup-simplify]: Simplify (+ 0 1) into 1 0.398 * [backup-simplify]: Simplify (* 0 1) into 0 0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.399 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.399 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.399 * [backup-simplify]: Simplify (/ 1 1) into 1 0.399 * [backup-simplify]: Simplify (+ 1 1) into 2 0.400 * [backup-simplify]: Simplify (log 2) into (log 2) 0.400 * [taylor]: Taking taylor expansion of (log 2) in y 0.400 * [taylor]: Taking taylor expansion of 2 in y 0.400 * [backup-simplify]: Simplify 2 into 2 0.400 * [backup-simplify]: Simplify (log 2) into (log 2) 0.400 * [backup-simplify]: Simplify (log 2) into (log 2) 0.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.401 * [backup-simplify]: Simplify (+ 0 0) into 0 0.402 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.402 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.402 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 y))) 1)) (pow 2 1)))) 1) into (/ -1/2 y) 0.402 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.402 * [taylor]: Taking taylor expansion of -1/2 in y 0.402 * [backup-simplify]: Simplify -1/2 into -1/2 0.402 * [taylor]: Taking taylor expansion of y in y 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.403 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.407 * [backup-simplify]: Simplify (+ 0 0) into 0 0.408 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.409 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.410 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 y))) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 2 1)))) 2) into (/ 3/8 (pow y 2)) 0.410 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 0.410 * [taylor]: Taking taylor expansion of 3/8 in y 0.410 * [backup-simplify]: Simplify 3/8 into 3/8 0.410 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.410 * [taylor]: Taking taylor expansion of y in y 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify (* 1 1) into 1 0.410 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 0.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 0.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.412 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.415 * [backup-simplify]: Simplify (+ 0 0) into 0 0.416 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 0.417 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 3)))) into (- (/ 1 (pow y 3))) 0.418 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 y))) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 y))) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (/ 1 (pow y 3)))) 1)) (pow 2 1)))) 6) into (/ -7/24 (pow y 3)) 0.418 * [taylor]: Taking taylor expansion of (/ -7/24 (pow y 3)) in y 0.418 * [taylor]: Taking taylor expansion of -7/24 in y 0.418 * [backup-simplify]: Simplify -7/24 into -7/24 0.418 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.418 * [taylor]: Taking taylor expansion of y in y 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (* 1 1) into 1 0.419 * [backup-simplify]: Simplify (* 1 1) into 1 0.419 * [backup-simplify]: Simplify (/ -7/24 1) into -7/24 0.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -7/24 (/ 0 1)))) into 0 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -7/24 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -7/24 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify (log 2) into (log 2) 0.423 * * * [progress]: simplifying candidates 0.424 * [simplify]: Simplifying: (exp (log1p (/ x (+ y x)))) (expm1 (expm1 (log1p (/ x (+ y x))))) (log1p (expm1 (log1p (/ x (+ y x))))) (log (expm1 (log1p (/ x (+ y x))))) (exp (expm1 (log1p (/ x (+ y x))))) (* (cbrt (expm1 (log1p (/ x (+ y x))))) (cbrt (expm1 (log1p (/ x (+ y x)))))) (cbrt (expm1 (log1p (/ x (+ y x))))) (* (* (expm1 (log1p (/ x (+ y x)))) (expm1 (log1p (/ x (+ y x))))) (expm1 (log1p (/ x (+ y x))))) (sqrt (expm1 (log1p (/ x (+ y x))))) (sqrt (expm1 (log1p (/ x (+ y x))))) (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))) (+ 1 (/ x (+ y x))) (expm1 (log1p (/ x (+ y x)))) (log1p (log1p (/ x (+ y x)))) (log (log1p (/ x (+ y x)))) (exp (log1p (/ x (+ y x)))) (* (cbrt (log1p (/ x (+ y x)))) (cbrt (log1p (/ x (+ y x))))) (cbrt (log1p (/ x (+ y x)))) (* (* (log1p (/ x (+ y x))) (log1p (/ x (+ y x)))) (log1p (/ x (+ y x)))) (sqrt (log1p (/ x (+ y x)))) (sqrt (log1p (/ x (+ y x)))) 0 1 1 0 0 0 0 (log 2) (log 2) 0.424 * [simplify]: Sending expressions to egg_math: (exp (log1p (/ h0 (+ h1 h0)))) (expm1 (expm1 (log1p (/ h0 (+ h1 h0))))) (log1p (expm1 (log1p (/ h0 (+ h1 h0))))) (log (expm1 (log1p (/ h0 (+ h1 h0))))) (exp (expm1 (log1p (/ h0 (+ h1 h0))))) (* (cbrt (expm1 (log1p (/ h0 (+ h1 h0))))) (cbrt (expm1 (log1p (/ h0 (+ h1 h0)))))) (cbrt (expm1 (log1p (/ h0 (+ h1 h0))))) (* (* (expm1 (log1p (/ h0 (+ h1 h0)))) (expm1 (log1p (/ h0 (+ h1 h0))))) (expm1 (log1p (/ h0 (+ h1 h0))))) (sqrt (expm1 (log1p (/ h0 (+ h1 h0))))) (sqrt (expm1 (log1p (/ h0 (+ h1 h0))))) (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))) (+ 1 (/ h0 (+ h1 h0))) (expm1 (log1p (/ h0 (+ h1 h0)))) (log1p (log1p (/ h0 (+ h1 h0)))) (log (log1p (/ h0 (+ h1 h0)))) (exp (log1p (/ h0 (+ h1 h0)))) (* (cbrt (log1p (/ h0 (+ h1 h0)))) (cbrt (log1p (/ h0 (+ h1 h0))))) (cbrt (log1p (/ h0 (+ h1 h0)))) (* (* (log1p (/ h0 (+ h1 h0))) (log1p (/ h0 (+ h1 h0)))) (log1p (/ h0 (+ h1 h0)))) (sqrt (log1p (/ h0 (+ h1 h0)))) (sqrt (log1p (/ h0 (+ h1 h0)))) 0 1 1 0 0 0 0 (log 2) (log 2) 0.428 * * [simplify]: iteration 0 : 144 enodes (cost 250 ) 0.431 * * [simplify]: iteration 1 : 424 enodes (cost 229 ) 0.436 * * [simplify]: iteration 2 : 1106 enodes (cost 229 ) 0.456 * * [simplify]: iteration 3 : 3898 enodes (cost 229 ) 0.505 * * [simplify]: iteration 4 : 5001 enodes (cost 229 ) 0.507 * * * [progress]: adding candidates to table 0.629 * * [progress]: iteration 3 / 4 0.629 * * * [progress]: picking best candidate 0.632 * * * * [pick]: Picked # 0.632 * * * [progress]: localizing error 0.637 * * * [progress]: generating rewritten candidates 0.637 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.667 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.681 * * * [progress]: generating series expansions 0.681 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.681 * [backup-simplify]: Simplify (* x (/ 1 (+ y x))) into (/ x (+ x y)) 0.681 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.681 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.681 * [taylor]: Taking taylor expansion of x in y 0.681 * [backup-simplify]: Simplify x into x 0.682 * [taylor]: Taking taylor expansion of (+ x y) in y 0.682 * [taylor]: Taking taylor expansion of x in y 0.682 * [backup-simplify]: Simplify x into x 0.682 * [taylor]: Taking taylor expansion of y in y 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 1 into 1 0.682 * [backup-simplify]: Simplify (+ x 0) into x 0.682 * [backup-simplify]: Simplify (/ x x) into 1 0.682 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 1 into 1 0.682 * [taylor]: Taking taylor expansion of (+ x y) in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 1 into 1 0.682 * [taylor]: Taking taylor expansion of y in x 0.682 * [backup-simplify]: Simplify y into y 0.682 * [backup-simplify]: Simplify (+ 0 y) into y 0.682 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.682 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 1 into 1 0.682 * [taylor]: Taking taylor expansion of (+ x y) in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 1 into 1 0.682 * [taylor]: Taking taylor expansion of y in x 0.682 * [backup-simplify]: Simplify y into y 0.682 * [backup-simplify]: Simplify (+ 0 y) into y 0.682 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.682 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.682 * [taylor]: Taking taylor expansion of y in y 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 1 into 1 0.683 * [backup-simplify]: Simplify (/ 1 1) into 1 0.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.683 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify (+ 1 0) into 1 0.683 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.683 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.684 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.684 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.684 * [taylor]: Taking taylor expansion of y in y 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify 1 into 1 0.684 * [backup-simplify]: Simplify (* 1 1) into 1 0.684 * [backup-simplify]: Simplify (/ 1 1) into 1 0.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.686 * [backup-simplify]: Simplify (- 0) into 0 0.686 * [backup-simplify]: Simplify 0 into 0 0.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.686 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify (+ 0 0) into 0 0.687 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 0.687 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.687 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.687 * [taylor]: Taking taylor expansion of y in y 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify 1 into 1 0.687 * [backup-simplify]: Simplify (* 1 1) into 1 0.688 * [backup-simplify]: Simplify (* 1 1) into 1 0.688 * [backup-simplify]: Simplify (/ 1 1) into 1 0.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.692 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.693 * [backup-simplify]: Simplify (- 0) into 0 0.693 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.694 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 (+ (/ 1 y) (/ 1 x)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.694 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.694 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.694 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.694 * [taylor]: Taking taylor expansion of x in y 0.694 * [backup-simplify]: Simplify x into x 0.694 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.694 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.694 * [taylor]: Taking taylor expansion of y in y 0.694 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify 1 into 1 0.694 * [backup-simplify]: Simplify (/ 1 1) into 1 0.694 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.694 * [taylor]: Taking taylor expansion of x in y 0.695 * [backup-simplify]: Simplify x into x 0.695 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.695 * [backup-simplify]: Simplify (+ 1 0) into 1 0.695 * [backup-simplify]: Simplify (* x 1) into x 0.695 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.695 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.695 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [backup-simplify]: Simplify 0 into 0 0.695 * [backup-simplify]: Simplify 1 into 1 0.695 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.695 * [taylor]: Taking taylor expansion of y in x 0.695 * [backup-simplify]: Simplify y into y 0.695 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.695 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [backup-simplify]: Simplify 0 into 0 0.695 * [backup-simplify]: Simplify 1 into 1 0.695 * [backup-simplify]: Simplify (/ 1 1) into 1 0.696 * [backup-simplify]: Simplify (+ 0 1) into 1 0.696 * [backup-simplify]: Simplify (* 0 1) into 0 0.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.696 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.697 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.697 * [backup-simplify]: Simplify (/ 1 1) into 1 0.697 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.697 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.697 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify 1 into 1 0.697 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.697 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.697 * [taylor]: Taking taylor expansion of y in x 0.697 * [backup-simplify]: Simplify y into y 0.697 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.697 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.697 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify 1 into 1 0.697 * [backup-simplify]: Simplify (/ 1 1) into 1 0.697 * [backup-simplify]: Simplify (+ 0 1) into 1 0.698 * [backup-simplify]: Simplify (* 0 1) into 0 0.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.698 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.698 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.699 * [backup-simplify]: Simplify (/ 1 1) into 1 0.699 * [taylor]: Taking taylor expansion of 1 in y 0.699 * [backup-simplify]: Simplify 1 into 1 0.699 * [backup-simplify]: Simplify 0 into 0 0.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.700 * [backup-simplify]: Simplify (+ 0 0) into 0 0.700 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.700 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.700 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.700 * [taylor]: Taking taylor expansion of y in y 0.700 * [backup-simplify]: Simplify 0 into 0 0.700 * [backup-simplify]: Simplify 1 into 1 0.701 * [backup-simplify]: Simplify (/ 1 1) into 1 0.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.702 * [backup-simplify]: Simplify (- 0) into 0 0.702 * [backup-simplify]: Simplify 0 into 0 0.702 * [backup-simplify]: Simplify 0 into 0 0.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.703 * [backup-simplify]: Simplify (+ 0 0) into 0 0.703 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.704 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.704 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.704 * [taylor]: Taking taylor expansion of y in y 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify 1 into 1 0.704 * [backup-simplify]: Simplify (* 1 1) into 1 0.704 * [backup-simplify]: Simplify (/ 1 1) into 1 0.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.708 * [backup-simplify]: Simplify (- 0) into 0 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify (* (/ 1 (- x)) (/ 1 (+ (/ 1 (- y)) (/ 1 (- x))))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.709 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.709 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.709 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.709 * [taylor]: Taking taylor expansion of x in y 0.709 * [backup-simplify]: Simplify x into x 0.709 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.709 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.709 * [taylor]: Taking taylor expansion of y in y 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify (/ 1 1) into 1 0.709 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.709 * [taylor]: Taking taylor expansion of x in y 0.709 * [backup-simplify]: Simplify x into x 0.709 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.709 * [backup-simplify]: Simplify (+ 1 0) into 1 0.709 * [backup-simplify]: Simplify (* x 1) into x 0.709 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.709 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.709 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.709 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.709 * [taylor]: Taking taylor expansion of y in x 0.709 * [backup-simplify]: Simplify y into y 0.710 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.710 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.710 * [taylor]: Taking taylor expansion of x in x 0.710 * [backup-simplify]: Simplify 0 into 0 0.710 * [backup-simplify]: Simplify 1 into 1 0.710 * [backup-simplify]: Simplify (/ 1 1) into 1 0.710 * [backup-simplify]: Simplify (+ 0 1) into 1 0.710 * [backup-simplify]: Simplify (* 0 1) into 0 0.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.711 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.711 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.711 * [backup-simplify]: Simplify (/ 1 1) into 1 0.711 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.711 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify 1 into 1 0.711 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.711 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.711 * [taylor]: Taking taylor expansion of y in x 0.711 * [backup-simplify]: Simplify y into y 0.711 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.711 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify 1 into 1 0.712 * [backup-simplify]: Simplify (/ 1 1) into 1 0.712 * [backup-simplify]: Simplify (+ 0 1) into 1 0.712 * [backup-simplify]: Simplify (* 0 1) into 0 0.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.713 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.713 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.713 * [backup-simplify]: Simplify (/ 1 1) into 1 0.713 * [taylor]: Taking taylor expansion of 1 in y 0.713 * [backup-simplify]: Simplify 1 into 1 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.714 * [backup-simplify]: Simplify (+ 0 0) into 0 0.715 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.715 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.715 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.715 * [taylor]: Taking taylor expansion of y in y 0.715 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify 1 into 1 0.715 * [backup-simplify]: Simplify (/ 1 1) into 1 0.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.716 * [backup-simplify]: Simplify (- 0) into 0 0.716 * [backup-simplify]: Simplify 0 into 0 0.716 * [backup-simplify]: Simplify 0 into 0 0.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.717 * [backup-simplify]: Simplify (+ 0 0) into 0 0.718 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.721 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.721 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.721 * [taylor]: Taking taylor expansion of y in y 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify 1 into 1 0.721 * [backup-simplify]: Simplify (* 1 1) into 1 0.721 * [backup-simplify]: Simplify (/ 1 1) into 1 0.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.724 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.725 * [backup-simplify]: Simplify (- 0) into 0 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.725 * [backup-simplify]: Simplify (/ 1 (+ y x)) into (/ 1 (+ x y)) 0.725 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (y x) around 0 0.725 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.725 * [taylor]: Taking taylor expansion of (+ x y) in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 1 into 1 0.725 * [taylor]: Taking taylor expansion of y in x 0.725 * [backup-simplify]: Simplify y into y 0.725 * [backup-simplify]: Simplify (+ 0 y) into y 0.725 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.725 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.725 * [taylor]: Taking taylor expansion of (+ x y) in y 0.725 * [taylor]: Taking taylor expansion of x in y 0.725 * [backup-simplify]: Simplify x into x 0.725 * [taylor]: Taking taylor expansion of y in y 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 1 into 1 0.725 * [backup-simplify]: Simplify (+ x 0) into x 0.725 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.725 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.726 * [taylor]: Taking taylor expansion of (+ x y) in y 0.726 * [taylor]: Taking taylor expansion of x in y 0.726 * [backup-simplify]: Simplify x into x 0.726 * [taylor]: Taking taylor expansion of y in y 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify 1 into 1 0.726 * [backup-simplify]: Simplify (+ x 0) into x 0.726 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.726 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify 1 into 1 0.726 * [backup-simplify]: Simplify (/ 1 1) into 1 0.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.726 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify (+ 0 1) into 1 0.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 1 x)))) into (- (/ 1 (pow x 2))) 0.727 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.727 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify 1 into 1 0.727 * [backup-simplify]: Simplify (* 1 1) into 1 0.727 * [backup-simplify]: Simplify (/ 1 1) into 1 0.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.729 * [backup-simplify]: Simplify (- 0) into 0 0.729 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify (+ 0 0) into 0 0.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* (- (/ 1 (pow x 2))) (/ 1 x)))) into (/ 1 (pow x 3)) 0.730 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.730 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 1 into 1 0.731 * [backup-simplify]: Simplify (* 1 1) into 1 0.731 * [backup-simplify]: Simplify (* 1 1) into 1 0.731 * [backup-simplify]: Simplify (/ 1 1) into 1 0.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.735 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.736 * [backup-simplify]: Simplify (- 0) into 0 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 y) (/ 1 x))) into (/ 1 (+ (/ 1 y) (/ 1 x))) 0.737 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 0.737 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.737 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.737 * [taylor]: Taking taylor expansion of y in x 0.737 * [backup-simplify]: Simplify y into y 0.737 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify 1 into 1 0.738 * [backup-simplify]: Simplify (/ 1 1) into 1 0.738 * [backup-simplify]: Simplify (+ 0 1) into 1 0.738 * [backup-simplify]: Simplify (/ 1 1) into 1 0.738 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.738 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.738 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.738 * [taylor]: Taking taylor expansion of y in y 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 1 into 1 0.738 * [backup-simplify]: Simplify (/ 1 1) into 1 0.738 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.738 * [taylor]: Taking taylor expansion of x in y 0.738 * [backup-simplify]: Simplify x into x 0.738 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.739 * [backup-simplify]: Simplify (+ 1 0) into 1 0.739 * [backup-simplify]: Simplify (/ 1 1) into 1 0.739 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.739 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.739 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.739 * [taylor]: Taking taylor expansion of y in y 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify 1 into 1 0.739 * [backup-simplify]: Simplify (/ 1 1) into 1 0.739 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.739 * [taylor]: Taking taylor expansion of x in y 0.739 * [backup-simplify]: Simplify x into x 0.739 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.740 * [backup-simplify]: Simplify (+ 1 0) into 1 0.740 * [backup-simplify]: Simplify (/ 1 1) into 1 0.740 * [taylor]: Taking taylor expansion of 1 in x 0.740 * [backup-simplify]: Simplify 1 into 1 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.740 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 0.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 x) 1)))) into (- (/ 1 x)) 0.741 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 1 into 1 0.741 * [backup-simplify]: Simplify (/ 1 1) into 1 0.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.742 * [backup-simplify]: Simplify (- 0) into 0 0.742 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.743 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.743 * [backup-simplify]: Simplify (+ 0 0) into 0 0.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 x)) (/ (/ 1 x) 1)))) into (/ 1 (pow x 2)) 0.743 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.743 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.743 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify 1 into 1 0.743 * [backup-simplify]: Simplify (* 1 1) into 1 0.744 * [backup-simplify]: Simplify (/ 1 1) into 1 0.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.746 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.747 * [backup-simplify]: Simplify (- 0) into 0 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (- y)) (/ 1 (- x)))) into (/ -1 (+ (/ 1 y) (/ 1 x))) 0.747 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 0.747 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.747 * [taylor]: Taking taylor expansion of -1 in x 0.747 * [backup-simplify]: Simplify -1 into -1 0.747 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.747 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.747 * [taylor]: Taking taylor expansion of y in x 0.747 * [backup-simplify]: Simplify y into y 0.747 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.748 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify 1 into 1 0.748 * [backup-simplify]: Simplify (/ 1 1) into 1 0.748 * [backup-simplify]: Simplify (+ 0 1) into 1 0.748 * [backup-simplify]: Simplify (/ -1 1) into -1 0.748 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.748 * [taylor]: Taking taylor expansion of -1 in y 0.748 * [backup-simplify]: Simplify -1 into -1 0.748 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.748 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.748 * [taylor]: Taking taylor expansion of y in y 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify 1 into 1 0.749 * [backup-simplify]: Simplify (/ 1 1) into 1 0.749 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.749 * [taylor]: Taking taylor expansion of x in y 0.749 * [backup-simplify]: Simplify x into x 0.749 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.749 * [backup-simplify]: Simplify (+ 1 0) into 1 0.749 * [backup-simplify]: Simplify (/ -1 1) into -1 0.749 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.749 * [taylor]: Taking taylor expansion of -1 in y 0.749 * [backup-simplify]: Simplify -1 into -1 0.749 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.749 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.749 * [taylor]: Taking taylor expansion of y in y 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 1 into 1 0.750 * [backup-simplify]: Simplify (/ 1 1) into 1 0.750 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.750 * [taylor]: Taking taylor expansion of x in y 0.750 * [backup-simplify]: Simplify x into x 0.750 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.750 * [backup-simplify]: Simplify (+ 1 0) into 1 0.750 * [backup-simplify]: Simplify (/ -1 1) into -1 0.750 * [taylor]: Taking taylor expansion of -1 in x 0.750 * [backup-simplify]: Simplify -1 into -1 0.750 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.751 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 0.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (/ 1 x) 1)))) into (/ 1 x) 0.751 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.751 * [taylor]: Taking taylor expansion of x in x 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify 1 into 1 0.751 * [backup-simplify]: Simplify (/ 1 1) into 1 0.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.752 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.753 * [backup-simplify]: Simplify (+ 0 0) into 0 0.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (/ 1 x) (/ (/ 1 x) 1)))) into (- (/ 1 (pow x 2))) 0.754 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.754 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.754 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.754 * [taylor]: Taking taylor expansion of x in x 0.754 * [backup-simplify]: Simplify 0 into 0 0.754 * [backup-simplify]: Simplify 1 into 1 0.754 * [backup-simplify]: Simplify (* 1 1) into 1 0.754 * [backup-simplify]: Simplify (/ 1 1) into 1 0.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.758 * [backup-simplify]: Simplify (- 0) into 0 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * * * [progress]: simplifying candidates 0.759 * [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 0.759 * [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 0.764 * * [simplify]: iteration 0 : 231 enodes (cost 360 ) 0.769 * * [simplify]: iteration 1 : 1013 enodes (cost 310 ) 0.785 * * [simplify]: iteration 2 : 3518 enodes (cost 272 ) 0.816 * * [simplify]: iteration 3 : 5002 enodes (cost 272 ) 0.817 * * * [progress]: adding candidates to table 0.924 * * [progress]: iteration 4 / 4 0.924 * * * [progress]: picking best candidate 0.926 * * * * [pick]: Picked # 0.926 * * * [progress]: localizing error 0.935 * * * [progress]: generating rewritten candidates 0.935 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.951 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.965 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.965 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 0.982 * * * [progress]: generating series expansions 0.982 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 0.982 * [backup-simplify]: Simplify (cbrt (pow (/ x (+ y x)) 3)) into (/ x (+ x y)) 0.982 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.982 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.982 * [taylor]: Taking taylor expansion of x in y 0.982 * [backup-simplify]: Simplify x into x 0.982 * [taylor]: Taking taylor expansion of (+ x y) in y 0.982 * [taylor]: Taking taylor expansion of x in y 0.982 * [backup-simplify]: Simplify x into x 0.982 * [taylor]: Taking taylor expansion of y in y 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify 1 into 1 0.982 * [backup-simplify]: Simplify (+ x 0) into x 0.982 * [backup-simplify]: Simplify (/ x x) into 1 0.982 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify 1 into 1 0.982 * [taylor]: Taking taylor expansion of (+ x y) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify 1 into 1 0.982 * [taylor]: Taking taylor expansion of y in x 0.982 * [backup-simplify]: Simplify y into y 0.982 * [backup-simplify]: Simplify (+ 0 y) into y 0.982 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.982 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify 1 into 1 0.982 * [taylor]: Taking taylor expansion of (+ x y) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify 1 into 1 0.982 * [taylor]: Taking taylor expansion of y in x 0.982 * [backup-simplify]: Simplify y into y 0.982 * [backup-simplify]: Simplify (+ 0 y) into y 0.983 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.983 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.983 * [taylor]: Taking taylor expansion of y in y 0.983 * [backup-simplify]: Simplify 0 into 0 0.983 * [backup-simplify]: Simplify 1 into 1 0.983 * [backup-simplify]: Simplify (/ 1 1) into 1 0.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.983 * [backup-simplify]: Simplify 0 into 0 0.984 * [backup-simplify]: Simplify (+ 1 0) into 1 0.984 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.984 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.984 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.984 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.984 * [taylor]: Taking taylor expansion of y in y 0.984 * [backup-simplify]: Simplify 0 into 0 0.984 * [backup-simplify]: Simplify 1 into 1 0.984 * [backup-simplify]: Simplify (* 1 1) into 1 0.984 * [backup-simplify]: Simplify (/ 1 1) into 1 0.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.986 * [backup-simplify]: Simplify (- 0) into 0 0.986 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify (+ 0 0) into 0 0.987 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 0.987 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.987 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.987 * [taylor]: Taking taylor expansion of y in y 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify 1 into 1 0.988 * [backup-simplify]: Simplify (* 1 1) into 1 0.988 * [backup-simplify]: Simplify (* 1 1) into 1 0.988 * [backup-simplify]: Simplify (/ 1 1) into 1 0.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.992 * [backup-simplify]: Simplify 0 into 0 0.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.994 * [backup-simplify]: Simplify (- 0) into 0 0.994 * [backup-simplify]: Simplify 0 into 0 0.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.994 * [backup-simplify]: Simplify 0 into 0 0.994 * [backup-simplify]: Simplify 0 into 0 0.994 * [backup-simplify]: Simplify (cbrt (pow (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) 3)) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.994 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.994 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.994 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.994 * [taylor]: Taking taylor expansion of x in y 0.994 * [backup-simplify]: Simplify x into x 0.994 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.994 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.995 * [taylor]: Taking taylor expansion of y in y 0.995 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify 1 into 1 0.995 * [backup-simplify]: Simplify (/ 1 1) into 1 0.995 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.995 * [taylor]: Taking taylor expansion of x in y 0.995 * [backup-simplify]: Simplify x into x 0.995 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.995 * [backup-simplify]: Simplify (+ 1 0) into 1 0.995 * [backup-simplify]: Simplify (* x 1) into x 0.995 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.995 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.995 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.995 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify 1 into 1 0.995 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.995 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.995 * [taylor]: Taking taylor expansion of y in x 0.995 * [backup-simplify]: Simplify y into y 0.995 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.995 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.995 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify 1 into 1 0.996 * [backup-simplify]: Simplify (/ 1 1) into 1 0.996 * [backup-simplify]: Simplify (+ 0 1) into 1 0.996 * [backup-simplify]: Simplify (* 0 1) into 0 0.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.997 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.997 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.997 * [backup-simplify]: Simplify (/ 1 1) into 1 0.997 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.997 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.997 * [taylor]: Taking taylor expansion of x in x 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify 1 into 1 0.997 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.997 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.997 * [taylor]: Taking taylor expansion of y in x 0.997 * [backup-simplify]: Simplify y into y 0.997 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.997 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.997 * [taylor]: Taking taylor expansion of x in x 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify 1 into 1 0.998 * [backup-simplify]: Simplify (/ 1 1) into 1 0.998 * [backup-simplify]: Simplify (+ 0 1) into 1 0.998 * [backup-simplify]: Simplify (* 0 1) into 0 0.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.999 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.999 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.999 * [backup-simplify]: Simplify (/ 1 1) into 1 0.999 * [taylor]: Taking taylor expansion of 1 in y 0.999 * [backup-simplify]: Simplify 1 into 1 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.000 * [backup-simplify]: Simplify (+ 0 0) into 0 1.001 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 1.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 1.001 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.001 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.001 * [taylor]: Taking taylor expansion of y in y 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify 1 into 1 1.001 * [backup-simplify]: Simplify (/ 1 1) into 1 1.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.002 * [backup-simplify]: Simplify (- 0) into 0 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.003 * [backup-simplify]: Simplify (+ 0 0) into 0 1.004 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 1.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 1.004 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.004 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.004 * [taylor]: Taking taylor expansion of y in y 1.004 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify 1 into 1 1.004 * [backup-simplify]: Simplify (* 1 1) into 1 1.005 * [backup-simplify]: Simplify (/ 1 1) into 1 1.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.008 * [backup-simplify]: Simplify 0 into 0 1.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.008 * [backup-simplify]: Simplify (- 0) into 0 1.008 * [backup-simplify]: Simplify 0 into 0 1.008 * [backup-simplify]: Simplify 0 into 0 1.008 * [backup-simplify]: Simplify 0 into 0 1.009 * [backup-simplify]: Simplify (cbrt (pow (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) 3)) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1.009 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 1.009 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.009 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.009 * [taylor]: Taking taylor expansion of x in y 1.009 * [backup-simplify]: Simplify x into x 1.009 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.009 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.009 * [taylor]: Taking taylor expansion of y in y 1.009 * [backup-simplify]: Simplify 0 into 0 1.009 * [backup-simplify]: Simplify 1 into 1 1.009 * [backup-simplify]: Simplify (/ 1 1) into 1 1.009 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.009 * [taylor]: Taking taylor expansion of x in y 1.009 * [backup-simplify]: Simplify x into x 1.009 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.009 * [backup-simplify]: Simplify (+ 1 0) into 1 1.009 * [backup-simplify]: Simplify (* x 1) into x 1.009 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.009 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.009 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.009 * [taylor]: Taking taylor expansion of x in x 1.009 * [backup-simplify]: Simplify 0 into 0 1.009 * [backup-simplify]: Simplify 1 into 1 1.009 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.010 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.010 * [taylor]: Taking taylor expansion of y in x 1.010 * [backup-simplify]: Simplify y into y 1.010 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.010 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.010 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify 1 into 1 1.010 * [backup-simplify]: Simplify (/ 1 1) into 1 1.010 * [backup-simplify]: Simplify (+ 0 1) into 1 1.010 * [backup-simplify]: Simplify (* 0 1) into 0 1.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.011 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.011 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 1.011 * [backup-simplify]: Simplify (/ 1 1) into 1 1.011 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.011 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.011 * [taylor]: Taking taylor expansion of x in x 1.011 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify 1 into 1 1.011 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.011 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.011 * [taylor]: Taking taylor expansion of y in x 1.011 * [backup-simplify]: Simplify y into y 1.011 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.011 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.012 * [taylor]: Taking taylor expansion of x in x 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify 1 into 1 1.012 * [backup-simplify]: Simplify (/ 1 1) into 1 1.012 * [backup-simplify]: Simplify (+ 0 1) into 1 1.012 * [backup-simplify]: Simplify (* 0 1) into 0 1.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.013 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.013 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 1.013 * [backup-simplify]: Simplify (/ 1 1) into 1 1.013 * [taylor]: Taking taylor expansion of 1 in y 1.013 * [backup-simplify]: Simplify 1 into 1 1.013 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.014 * [backup-simplify]: Simplify (+ 0 0) into 0 1.015 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 1.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 1.015 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.015 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.015 * [taylor]: Taking taylor expansion of y in y 1.015 * [backup-simplify]: Simplify 0 into 0 1.015 * [backup-simplify]: Simplify 1 into 1 1.015 * [backup-simplify]: Simplify (/ 1 1) into 1 1.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.016 * [backup-simplify]: Simplify (- 0) into 0 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.017 * [backup-simplify]: Simplify (+ 0 0) into 0 1.018 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 1.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 1.018 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.018 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.018 * [taylor]: Taking taylor expansion of y in y 1.019 * [backup-simplify]: Simplify 0 into 0 1.019 * [backup-simplify]: Simplify 1 into 1 1.019 * [backup-simplify]: Simplify (* 1 1) into 1 1.022 * [backup-simplify]: Simplify (/ 1 1) into 1 1.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.025 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.026 * [backup-simplify]: Simplify (- 0) into 0 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 1.027 * [backup-simplify]: Simplify (pow (/ x (+ y x)) 3) into (pow (/ x (+ x y)) 3) 1.027 * [approximate]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in (x y) around 0 1.027 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in y 1.027 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 1.027 * [taylor]: Taking taylor expansion of x in y 1.027 * [backup-simplify]: Simplify x into x 1.027 * [taylor]: Taking taylor expansion of (+ x y) in y 1.027 * [taylor]: Taking taylor expansion of x in y 1.027 * [backup-simplify]: Simplify x into x 1.027 * [taylor]: Taking taylor expansion of y in y 1.027 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify 1 into 1 1.027 * [backup-simplify]: Simplify (+ x 0) into x 1.027 * [backup-simplify]: Simplify (/ x x) into 1 1.027 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in x 1.027 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.027 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify 1 into 1 1.027 * [taylor]: Taking taylor expansion of (+ x y) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.027 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify 1 into 1 1.027 * [taylor]: Taking taylor expansion of y in x 1.027 * [backup-simplify]: Simplify y into y 1.027 * [backup-simplify]: Simplify (+ 0 y) into y 1.027 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.027 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in x 1.027 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.027 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify 1 into 1 1.027 * [taylor]: Taking taylor expansion of (+ x y) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.027 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify 1 into 1 1.027 * [taylor]: Taking taylor expansion of y in x 1.027 * [backup-simplify]: Simplify y into y 1.027 * [backup-simplify]: Simplify (+ 0 y) into y 1.027 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.027 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 1.028 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 (pow y 2))) into (/ 1 (pow y 3)) 1.028 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.028 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.028 * [taylor]: Taking taylor expansion of y in y 1.028 * [backup-simplify]: Simplify 0 into 0 1.028 * [backup-simplify]: Simplify 1 into 1 1.028 * [backup-simplify]: Simplify (* 1 1) into 1 1.028 * [backup-simplify]: Simplify (* 1 1) into 1 1.028 * [backup-simplify]: Simplify (/ 1 1) into 1 1.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.033 * [backup-simplify]: Simplify 0 into 0 1.033 * [backup-simplify]: Simplify (+ 1 0) into 1 1.033 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 1.034 * [backup-simplify]: Simplify (+ (* (/ 1 y) (- (/ 1 (pow y 2)))) (* (- (/ 1 (pow y 2))) (/ 1 y))) into (- (* 2 (/ 1 (pow y 3)))) 1.034 * [backup-simplify]: Simplify (+ (* (/ 1 y) (- (* 2 (/ 1 (pow y 3))))) (* (- (/ 1 (pow y 2))) (/ 1 (pow y 2)))) into (- (* 3 (/ 1 (pow y 4)))) 1.034 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow y 4)))) in y 1.034 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 4))) in y 1.034 * [taylor]: Taking taylor expansion of 3 in y 1.034 * [backup-simplify]: Simplify 3 into 3 1.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.034 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.034 * [taylor]: Taking taylor expansion of y in y 1.034 * [backup-simplify]: Simplify 0 into 0 1.034 * [backup-simplify]: Simplify 1 into 1 1.034 * [backup-simplify]: Simplify (* 1 1) into 1 1.035 * [backup-simplify]: Simplify (* 1 1) into 1 1.035 * [backup-simplify]: Simplify (/ 1 1) into 1 1.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.041 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.042 * [backup-simplify]: Simplify (- 0) into 0 1.042 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.043 * [backup-simplify]: Simplify 0 into 0 1.044 * [backup-simplify]: Simplify (+ 0 0) into 0 1.044 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 1.044 * [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))) 1.045 * [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))) 1.045 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 5))) in y 1.045 * [taylor]: Taking taylor expansion of 6 in y 1.045 * [backup-simplify]: Simplify 6 into 6 1.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 1.045 * [taylor]: Taking taylor expansion of (pow y 5) in y 1.045 * [taylor]: Taking taylor expansion of y in y 1.045 * [backup-simplify]: Simplify 0 into 0 1.045 * [backup-simplify]: Simplify 1 into 1 1.045 * [backup-simplify]: Simplify (* 1 1) into 1 1.045 * [backup-simplify]: Simplify (* 1 1) into 1 1.046 * [backup-simplify]: Simplify (* 1 1) into 1 1.046 * [backup-simplify]: Simplify (/ 1 1) into 1 1.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.057 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.058 * [backup-simplify]: Simplify 0 into 0 1.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.060 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.060 * [backup-simplify]: Simplify (- 0) into 0 1.060 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.062 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify (pow (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) 3) into (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) 1.063 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in (x y) around 0 1.063 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in y 1.063 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.063 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.063 * [taylor]: Taking taylor expansion of x in y 1.063 * [backup-simplify]: Simplify x into x 1.063 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.063 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.063 * [taylor]: Taking taylor expansion of y in y 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 1 into 1 1.063 * [backup-simplify]: Simplify (/ 1 1) into 1 1.063 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.063 * [taylor]: Taking taylor expansion of x in y 1.063 * [backup-simplify]: Simplify x into x 1.063 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.063 * [backup-simplify]: Simplify (+ 1 0) into 1 1.063 * [backup-simplify]: Simplify (* x 1) into x 1.063 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.063 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 1.063 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.063 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.063 * [taylor]: Taking taylor expansion of x in x 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 1 into 1 1.064 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.064 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.064 * [taylor]: Taking taylor expansion of y in x 1.064 * [backup-simplify]: Simplify y into y 1.064 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.064 * [taylor]: Taking taylor expansion of x in x 1.064 * [backup-simplify]: Simplify 0 into 0 1.064 * [backup-simplify]: Simplify 1 into 1 1.064 * [backup-simplify]: Simplify (/ 1 1) into 1 1.064 * [backup-simplify]: Simplify (+ 0 1) into 1 1.064 * [backup-simplify]: Simplify (* 0 1) into 0 1.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.065 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.065 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 1.065 * [backup-simplify]: Simplify (/ 1 1) into 1 1.065 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 1.065 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.065 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.065 * [taylor]: Taking taylor expansion of x in x 1.065 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify 1 into 1 1.065 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.065 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.066 * [taylor]: Taking taylor expansion of y in x 1.066 * [backup-simplify]: Simplify y into y 1.066 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.066 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.066 * [taylor]: Taking taylor expansion of x in x 1.066 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify 1 into 1 1.066 * [backup-simplify]: Simplify (/ 1 1) into 1 1.066 * [backup-simplify]: Simplify (+ 0 1) into 1 1.066 * [backup-simplify]: Simplify (* 0 1) into 0 1.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.067 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.067 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 1.068 * [backup-simplify]: Simplify (/ 1 1) into 1 1.068 * [backup-simplify]: Simplify (* 1 1) into 1 1.068 * [backup-simplify]: Simplify (* 1 1) into 1 1.068 * [taylor]: Taking taylor expansion of 1 in y 1.068 * [backup-simplify]: Simplify 1 into 1 1.068 * [backup-simplify]: Simplify 0 into 0 1.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.069 * [backup-simplify]: Simplify (+ 0 0) into 0 1.069 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 1.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 1.070 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 y))) (* (- (/ 1 y)) 1)) into (- (* 2 (/ 1 y))) 1.070 * [backup-simplify]: Simplify (+ (* 1 (- (* 2 (/ 1 y)))) (* (- (/ 1 y)) 1)) into (- (* 3 (/ 1 y))) 1.070 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 y))) in y 1.070 * [taylor]: Taking taylor expansion of (* 3 (/ 1 y)) in y 1.070 * [taylor]: Taking taylor expansion of 3 in y 1.070 * [backup-simplify]: Simplify 3 into 3 1.070 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.070 * [taylor]: Taking taylor expansion of y in y 1.070 * [backup-simplify]: Simplify 0 into 0 1.070 * [backup-simplify]: Simplify 1 into 1 1.070 * [backup-simplify]: Simplify (/ 1 1) into 1 1.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.073 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.073 * [backup-simplify]: Simplify (- 0) into 0 1.073 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.074 * [backup-simplify]: Simplify (+ 0 0) into 0 1.074 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 1.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 1.075 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* (- (/ 1 y)) (- (/ 1 y))) (* (/ 1 (pow y 2)) 1))) into (* 3 (/ 1 (pow y 2))) 1.075 * [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))) 1.075 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 1.076 * [taylor]: Taking taylor expansion of 6 in y 1.076 * [backup-simplify]: Simplify 6 into 6 1.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.076 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.076 * [taylor]: Taking taylor expansion of y in y 1.076 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify 1 into 1 1.076 * [backup-simplify]: Simplify (* 1 1) into 1 1.076 * [backup-simplify]: Simplify (/ 1 1) into 1 1.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.082 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.082 * [backup-simplify]: Simplify 0 into 0 1.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.083 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.083 * [backup-simplify]: Simplify (- 0) into 0 1.083 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify (pow (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) 3) into (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) 1.084 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in (x y) around 0 1.084 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in y 1.084 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.084 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.084 * [taylor]: Taking taylor expansion of x in y 1.084 * [backup-simplify]: Simplify x into x 1.084 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.084 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.084 * [taylor]: Taking taylor expansion of y in y 1.084 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify 1 into 1 1.084 * [backup-simplify]: Simplify (/ 1 1) into 1 1.084 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.084 * [taylor]: Taking taylor expansion of x in y 1.084 * [backup-simplify]: Simplify x into x 1.084 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.084 * [backup-simplify]: Simplify (+ 1 0) into 1 1.084 * [backup-simplify]: Simplify (* x 1) into x 1.084 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.085 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 1.085 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.085 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 1 into 1 1.085 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.085 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.085 * [taylor]: Taking taylor expansion of y in x 1.085 * [backup-simplify]: Simplify y into y 1.085 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 1 into 1 1.085 * [backup-simplify]: Simplify (/ 1 1) into 1 1.085 * [backup-simplify]: Simplify (+ 0 1) into 1 1.086 * [backup-simplify]: Simplify (* 0 1) into 0 1.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.086 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.086 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 1.086 * [backup-simplify]: Simplify (/ 1 1) into 1 1.087 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 1.087 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.087 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.087 * [taylor]: Taking taylor expansion of x in x 1.087 * [backup-simplify]: Simplify 0 into 0 1.087 * [backup-simplify]: Simplify 1 into 1 1.087 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.087 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.087 * [taylor]: Taking taylor expansion of y in x 1.087 * [backup-simplify]: Simplify y into y 1.087 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.087 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.087 * [taylor]: Taking taylor expansion of x in x 1.087 * [backup-simplify]: Simplify 0 into 0 1.087 * [backup-simplify]: Simplify 1 into 1 1.087 * [backup-simplify]: Simplify (/ 1 1) into 1 1.087 * [backup-simplify]: Simplify (+ 0 1) into 1 1.087 * [backup-simplify]: Simplify (* 0 1) into 0 1.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.088 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.088 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 1.088 * [backup-simplify]: Simplify (/ 1 1) into 1 1.089 * [backup-simplify]: Simplify (* 1 1) into 1 1.089 * [backup-simplify]: Simplify (* 1 1) into 1 1.089 * [taylor]: Taking taylor expansion of 1 in y 1.089 * [backup-simplify]: Simplify 1 into 1 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.090 * [backup-simplify]: Simplify (+ 0 0) into 0 1.090 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 1.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 1.090 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 y))) (* (- (/ 1 y)) 1)) into (- (* 2 (/ 1 y))) 1.091 * [backup-simplify]: Simplify (+ (* 1 (- (* 2 (/ 1 y)))) (* (- (/ 1 y)) 1)) into (- (* 3 (/ 1 y))) 1.091 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 y))) in y 1.091 * [taylor]: Taking taylor expansion of (* 3 (/ 1 y)) in y 1.091 * [taylor]: Taking taylor expansion of 3 in y 1.091 * [backup-simplify]: Simplify 3 into 3 1.091 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.091 * [taylor]: Taking taylor expansion of y in y 1.091 * [backup-simplify]: Simplify 0 into 0 1.091 * [backup-simplify]: Simplify 1 into 1 1.091 * [backup-simplify]: Simplify (/ 1 1) into 1 1.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.093 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.094 * [backup-simplify]: Simplify (- 0) into 0 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.095 * [backup-simplify]: Simplify (+ 0 0) into 0 1.095 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 1.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 1.096 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* (- (/ 1 y)) (- (/ 1 y))) (* (/ 1 (pow y 2)) 1))) into (* 3 (/ 1 (pow y 2))) 1.096 * [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))) 1.096 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 1.096 * [taylor]: Taking taylor expansion of 6 in y 1.096 * [backup-simplify]: Simplify 6 into 6 1.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.096 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.096 * [taylor]: Taking taylor expansion of y in y 1.096 * [backup-simplify]: Simplify 0 into 0 1.096 * [backup-simplify]: Simplify 1 into 1 1.097 * [backup-simplify]: Simplify (* 1 1) into 1 1.097 * [backup-simplify]: Simplify (/ 1 1) into 1 1.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.103 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.104 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.104 * [backup-simplify]: Simplify (- 0) into 0 1.104 * [backup-simplify]: Simplify 0 into 0 1.104 * [backup-simplify]: Simplify 0 into 0 1.104 * [backup-simplify]: Simplify 0 into 0 1.104 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.105 * [backup-simplify]: Simplify (expm1 (log1p (cbrt (pow (/ x (+ y x)) 3)))) into (expm1 (log1p (/ x (+ x y)))) 1.105 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ x (+ x y)))) in (x y) around 0 1.105 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ x (+ x y)))) in y 1.105 * [taylor]: Rewrote expression to (- (exp (log1p (/ x (+ x y)))) 1) 1.105 * [taylor]: Taking taylor expansion of (exp (log1p (/ x (+ x y)))) in y 1.105 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in y 1.105 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 1.105 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in y 1.105 * [taylor]: Taking taylor expansion of 1 in y 1.105 * [backup-simplify]: Simplify 1 into 1 1.105 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 1.105 * [taylor]: Taking taylor expansion of x in y 1.105 * [backup-simplify]: Simplify x into x 1.105 * [taylor]: Taking taylor expansion of (+ x y) in y 1.105 * [taylor]: Taking taylor expansion of x in y 1.105 * [backup-simplify]: Simplify x into x 1.105 * [taylor]: Taking taylor expansion of y in y 1.105 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify 1 into 1 1.105 * [backup-simplify]: Simplify (+ x 0) into x 1.105 * [backup-simplify]: Simplify (/ x x) into 1 1.105 * [backup-simplify]: Simplify (+ 1 1) into 2 1.106 * [backup-simplify]: Simplify (log 2) into (log 2) 1.106 * [backup-simplify]: Simplify (exp (log 2)) into 2 1.106 * [taylor]: Taking taylor expansion of 1 in y 1.106 * [backup-simplify]: Simplify 1 into 1 1.106 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ x (+ x y)))) in x 1.106 * [taylor]: Rewrote expression to (- (exp (log1p (/ x (+ x y)))) 1) 1.106 * [taylor]: Taking taylor expansion of (exp (log1p (/ x (+ x y)))) in x 1.106 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in x 1.106 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 1.106 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in x 1.107 * [taylor]: Taking taylor expansion of 1 in x 1.107 * [backup-simplify]: Simplify 1 into 1 1.107 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify 1 into 1 1.107 * [taylor]: Taking taylor expansion of (+ x y) in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify 1 into 1 1.107 * [taylor]: Taking taylor expansion of y in x 1.107 * [backup-simplify]: Simplify y into y 1.107 * [backup-simplify]: Simplify (+ 0 y) into y 1.107 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.107 * [backup-simplify]: Simplify (+ 1 0) into 1 1.107 * [backup-simplify]: Simplify (log 1) into 0 1.107 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.108 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 y)) 1)) (pow 1 1)))) 1) into (/ 1 y) 1.108 * [backup-simplify]: Simplify (exp 0) into 1 1.108 * [taylor]: Taking taylor expansion of 1 in x 1.108 * [backup-simplify]: Simplify 1 into 1 1.108 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ x (+ x y)))) in x 1.108 * [taylor]: Rewrote expression to (- (exp (log1p (/ x (+ x y)))) 1) 1.108 * [taylor]: Taking taylor expansion of (exp (log1p (/ x (+ x y)))) in x 1.108 * [taylor]: Taking taylor expansion of (log1p (/ x (+ x y))) in x 1.108 * [taylor]: Rewrote expression to (log (+ 1 (/ x (+ x y)))) 1.108 * [taylor]: Taking taylor expansion of (+ 1 (/ x (+ x y))) in x 1.108 * [taylor]: Taking taylor expansion of 1 in x 1.108 * [backup-simplify]: Simplify 1 into 1 1.108 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.108 * [taylor]: Taking taylor expansion of x in x 1.108 * [backup-simplify]: Simplify 0 into 0 1.108 * [backup-simplify]: Simplify 1 into 1 1.108 * [taylor]: Taking taylor expansion of (+ x y) in x 1.108 * [taylor]: Taking taylor expansion of x in x 1.108 * [backup-simplify]: Simplify 0 into 0 1.108 * [backup-simplify]: Simplify 1 into 1 1.108 * [taylor]: Taking taylor expansion of y in x 1.108 * [backup-simplify]: Simplify y into y 1.108 * [backup-simplify]: Simplify (+ 0 y) into y 1.108 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.109 * [backup-simplify]: Simplify (+ 1 0) into 1 1.109 * [backup-simplify]: Simplify (log 1) into 0 1.109 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.109 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 y)) 1)) (pow 1 1)))) 1) into (/ 1 y) 1.109 * [backup-simplify]: Simplify (exp 0) into 1 1.109 * [taylor]: Taking taylor expansion of 1 in x 1.109 * [backup-simplify]: Simplify 1 into 1 1.110 * [backup-simplify]: Simplify (- 1) into -1 1.110 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.110 * [taylor]: Taking taylor expansion of 0 in y 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 y) 1) 1)))) into (/ 1 y) 1.110 * [backup-simplify]: Simplify (- 0) into 0 1.110 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.111 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.111 * [taylor]: Taking taylor expansion of y in y 1.111 * [backup-simplify]: Simplify 0 into 0 1.111 * [backup-simplify]: Simplify 1 into 1 1.111 * [backup-simplify]: Simplify (/ 1 1) into 1 1.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify (+ 1 0) into 1 1.115 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 1.115 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 1.116 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 y)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (/ 1 (pow y 2)))) 1)) (pow 1 1)))) 2) into (/ -3/2 (pow y 2)) 1.116 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 y) 2) 2)) (* (/ (pow (/ -3/2 (pow y 2)) 1) 1)))) into (/ -1 (pow y 2)) 1.117 * [backup-simplify]: Simplify (- 0) into 0 1.117 * [backup-simplify]: Simplify (+ (/ -1 (pow y 2)) 0) into (- (/ 1 (pow y 2))) 1.117 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.117 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.117 * [taylor]: Taking taylor expansion of y in y 1.117 * [backup-simplify]: Simplify 0 into 0 1.117 * [backup-simplify]: Simplify 1 into 1 1.117 * [backup-simplify]: Simplify (* 1 1) into 1 1.118 * [backup-simplify]: Simplify (/ 1 1) into 1 1.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.119 * [backup-simplify]: Simplify (- 0) into 0 1.119 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify (expm1 (log1p (cbrt (pow (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) 3)))) into (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1.120 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in (x y) around 0 1.120 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 1.120 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 1.120 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 1.120 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 1.121 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1.121 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 1.121 * [taylor]: Taking taylor expansion of 1 in y 1.121 * [backup-simplify]: Simplify 1 into 1 1.121 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.121 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.121 * [taylor]: Taking taylor expansion of x in y 1.121 * [backup-simplify]: Simplify x into x 1.121 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.121 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.121 * [taylor]: Taking taylor expansion of y in y 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify 1 into 1 1.121 * [backup-simplify]: Simplify (/ 1 1) into 1 1.121 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.121 * [taylor]: Taking taylor expansion of x in y 1.121 * [backup-simplify]: Simplify x into x 1.121 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.121 * [backup-simplify]: Simplify (+ 1 0) into 1 1.121 * [backup-simplify]: Simplify (* x 1) into x 1.121 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.122 * [backup-simplify]: Simplify (+ 1 0) into 1 1.122 * [backup-simplify]: Simplify (log 1) into 0 1.122 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 1.122 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 x)) 1)) (pow 1 1)))) 1) into (/ 1 x) 1.122 * [backup-simplify]: Simplify (exp 0) into 1 1.122 * [taylor]: Taking taylor expansion of 1 in y 1.122 * [backup-simplify]: Simplify 1 into 1 1.122 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 1.123 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 1.123 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 1.123 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.123 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1.123 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.123 * [taylor]: Taking taylor expansion of 1 in x 1.123 * [backup-simplify]: Simplify 1 into 1 1.123 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.123 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.123 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify 1 into 1 1.123 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.123 * [taylor]: Taking taylor expansion of y in x 1.123 * [backup-simplify]: Simplify y into y 1.123 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.123 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify 1 into 1 1.123 * [backup-simplify]: Simplify (/ 1 1) into 1 1.124 * [backup-simplify]: Simplify (+ 0 1) into 1 1.124 * [backup-simplify]: Simplify (* 0 1) into 0 1.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.124 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.125 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 1.125 * [backup-simplify]: Simplify (/ 1 1) into 1 1.125 * [backup-simplify]: Simplify (+ 1 1) into 2 1.125 * [backup-simplify]: Simplify (log 2) into (log 2) 1.126 * [backup-simplify]: Simplify (exp (log 2)) into 2 1.126 * [taylor]: Taking taylor expansion of 1 in x 1.126 * [backup-simplify]: Simplify 1 into 1 1.126 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 1.126 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 1.126 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 1.126 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.126 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1.126 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.126 * [taylor]: Taking taylor expansion of 1 in x 1.126 * [backup-simplify]: Simplify 1 into 1 1.126 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.126 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.126 * [taylor]: Taking taylor expansion of x in x 1.126 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify 1 into 1 1.126 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.126 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.126 * [taylor]: Taking taylor expansion of y in x 1.126 * [backup-simplify]: Simplify y into y 1.126 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.126 * [taylor]: Taking taylor expansion of x in x 1.126 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify 1 into 1 1.126 * [backup-simplify]: Simplify (/ 1 1) into 1 1.127 * [backup-simplify]: Simplify (+ 0 1) into 1 1.127 * [backup-simplify]: Simplify (* 0 1) into 0 1.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.127 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.128 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 1.128 * [backup-simplify]: Simplify (/ 1 1) into 1 1.128 * [backup-simplify]: Simplify (+ 1 1) into 2 1.128 * [backup-simplify]: Simplify (log 2) into (log 2) 1.129 * [backup-simplify]: Simplify (exp (log 2)) into 2 1.129 * [taylor]: Taking taylor expansion of 1 in x 1.129 * [backup-simplify]: Simplify 1 into 1 1.129 * [backup-simplify]: Simplify (- 1) into -1 1.130 * [backup-simplify]: Simplify (+ 2 -1) into 1 1.130 * [taylor]: Taking taylor expansion of 1 in y 1.130 * [backup-simplify]: Simplify 1 into 1 1.130 * [backup-simplify]: Simplify 1 into 1 1.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.130 * [backup-simplify]: Simplify (+ 0 0) into 0 1.131 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 1.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 1.131 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.132 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 y))) 1)) (pow 2 1)))) 1) into (/ -1/2 y) 1.132 * [backup-simplify]: Simplify (* (exp (log 2)) (+ (* (/ (pow (/ -1/2 y) 1) 1)))) into (/ -1 y) 1.132 * [backup-simplify]: Simplify (- 0) into 0 1.133 * [backup-simplify]: Simplify (+ (/ -1 y) 0) into (- (/ 1 y)) 1.133 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.133 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.133 * [taylor]: Taking taylor expansion of y in y 1.133 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify 1 into 1 1.133 * [backup-simplify]: Simplify (/ 1 1) into 1 1.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.134 * [backup-simplify]: Simplify (- 0) into 0 1.134 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.135 * [backup-simplify]: Simplify (+ 0 0) into 0 1.135 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 1.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 1.136 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.137 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 y))) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 2 1)))) 2) into (/ 3/8 (pow y 2)) 1.138 * [backup-simplify]: Simplify (* (exp (log 2)) (+ (* (/ (pow (/ -1/2 y) 2) 2)) (* (/ (pow (/ 3/8 (pow y 2)) 1) 1)))) into (/ 1 (pow y 2)) 1.138 * [backup-simplify]: Simplify (- 0) into 0 1.138 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.138 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.138 * [taylor]: Taking taylor expansion of y in y 1.138 * [backup-simplify]: Simplify 0 into 0 1.138 * [backup-simplify]: Simplify 1 into 1 1.138 * [backup-simplify]: Simplify (* 1 1) into 1 1.138 * [backup-simplify]: Simplify (/ 1 1) into 1 1.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.140 * [backup-simplify]: Simplify 0 into 0 1.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.141 * [backup-simplify]: Simplify (- 0) into 0 1.141 * [backup-simplify]: Simplify 0 into 0 1.141 * [backup-simplify]: Simplify 0 into 0 1.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.142 * [backup-simplify]: Simplify (+ 0 0) into 0 1.143 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 1.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 1.144 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 3)))) into (- (/ 1 (pow y 3))) 1.145 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 y))) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 y))) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (/ 1 (pow y 3)))) 1)) (pow 2 1)))) 6) into (/ -7/24 (pow y 3)) 1.146 * [backup-simplify]: Simplify (* (exp (log 2)) (+ (* (/ (pow (/ -1/2 y) 3) 6)) (* (/ (pow (/ -1/2 y) 1) 1) (/ (pow (/ 3/8 (pow y 2)) 1) 1)) (* (/ (pow (/ -7/24 (pow y 3)) 1) 1)))) into (/ -1 (pow y 3)) 1.146 * [backup-simplify]: Simplify (- 0) into 0 1.146 * [backup-simplify]: Simplify (+ (/ -1 (pow y 3)) 0) into (- (/ 1 (pow y 3))) 1.146 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 1.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.147 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.147 * [taylor]: Taking taylor expansion of y in y 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify 1 into 1 1.147 * [backup-simplify]: Simplify (* 1 1) into 1 1.147 * [backup-simplify]: Simplify (* 1 1) into 1 1.147 * [backup-simplify]: Simplify (/ 1 1) into 1 1.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.151 * [backup-simplify]: Simplify (- 0) into 0 1.152 * [backup-simplify]: Simplify 0 into 0 1.152 * [backup-simplify]: Simplify 1 into 1 1.152 * [backup-simplify]: Simplify (expm1 (log1p (cbrt (pow (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) 3)))) into (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1.152 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in (x y) around 0 1.152 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 1.152 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 1.152 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in y 1.152 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 1.152 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1.152 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 1.152 * [taylor]: Taking taylor expansion of 1 in y 1.152 * [backup-simplify]: Simplify 1 into 1 1.152 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.152 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.152 * [taylor]: Taking taylor expansion of x in y 1.152 * [backup-simplify]: Simplify x into x 1.152 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.152 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.152 * [taylor]: Taking taylor expansion of y in y 1.152 * [backup-simplify]: Simplify 0 into 0 1.152 * [backup-simplify]: Simplify 1 into 1 1.152 * [backup-simplify]: Simplify (/ 1 1) into 1 1.153 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.153 * [taylor]: Taking taylor expansion of x in y 1.153 * [backup-simplify]: Simplify x into x 1.153 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.153 * [backup-simplify]: Simplify (+ 1 0) into 1 1.153 * [backup-simplify]: Simplify (* x 1) into x 1.153 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.153 * [backup-simplify]: Simplify (+ 1 0) into 1 1.153 * [backup-simplify]: Simplify (log 1) into 0 1.153 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 1.154 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 x)) 1)) (pow 1 1)))) 1) into (/ 1 x) 1.154 * [backup-simplify]: Simplify (exp 0) into 1 1.154 * [taylor]: Taking taylor expansion of 1 in y 1.154 * [backup-simplify]: Simplify 1 into 1 1.154 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 1.154 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 1.154 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 1.154 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.154 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1.154 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.154 * [taylor]: Taking taylor expansion of 1 in x 1.154 * [backup-simplify]: Simplify 1 into 1 1.154 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.154 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.154 * [taylor]: Taking taylor expansion of x in x 1.154 * [backup-simplify]: Simplify 0 into 0 1.154 * [backup-simplify]: Simplify 1 into 1 1.154 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.154 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.154 * [taylor]: Taking taylor expansion of y in x 1.154 * [backup-simplify]: Simplify y into y 1.154 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.154 * [taylor]: Taking taylor expansion of x in x 1.154 * [backup-simplify]: Simplify 0 into 0 1.154 * [backup-simplify]: Simplify 1 into 1 1.155 * [backup-simplify]: Simplify (/ 1 1) into 1 1.155 * [backup-simplify]: Simplify (+ 0 1) into 1 1.155 * [backup-simplify]: Simplify (* 0 1) into 0 1.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.156 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.156 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 1.156 * [backup-simplify]: Simplify (/ 1 1) into 1 1.156 * [backup-simplify]: Simplify (+ 1 1) into 2 1.157 * [backup-simplify]: Simplify (log 2) into (log 2) 1.157 * [backup-simplify]: Simplify (exp (log 2)) into 2 1.157 * [taylor]: Taking taylor expansion of 1 in x 1.157 * [backup-simplify]: Simplify 1 into 1 1.157 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 1.157 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1) 1.157 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) in x 1.157 * [taylor]: Taking taylor expansion of (log1p (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.157 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))))) 1.157 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 1.157 * [taylor]: Taking taylor expansion of 1 in x 1.157 * [backup-simplify]: Simplify 1 into 1 1.157 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.157 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.157 * [taylor]: Taking taylor expansion of x in x 1.157 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify 1 into 1 1.157 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.157 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.157 * [taylor]: Taking taylor expansion of y in x 1.157 * [backup-simplify]: Simplify y into y 1.158 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.158 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.158 * [taylor]: Taking taylor expansion of x in x 1.158 * [backup-simplify]: Simplify 0 into 0 1.158 * [backup-simplify]: Simplify 1 into 1 1.158 * [backup-simplify]: Simplify (/ 1 1) into 1 1.158 * [backup-simplify]: Simplify (+ 0 1) into 1 1.158 * [backup-simplify]: Simplify (* 0 1) into 0 1.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.159 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.159 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 1.159 * [backup-simplify]: Simplify (/ 1 1) into 1 1.159 * [backup-simplify]: Simplify (+ 1 1) into 2 1.160 * [backup-simplify]: Simplify (log 2) into (log 2) 1.160 * [backup-simplify]: Simplify (exp (log 2)) into 2 1.160 * [taylor]: Taking taylor expansion of 1 in x 1.160 * [backup-simplify]: Simplify 1 into 1 1.161 * [backup-simplify]: Simplify (- 1) into -1 1.161 * [backup-simplify]: Simplify (+ 2 -1) into 1 1.161 * [taylor]: Taking taylor expansion of 1 in y 1.161 * [backup-simplify]: Simplify 1 into 1 1.161 * [backup-simplify]: Simplify 1 into 1 1.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.162 * [backup-simplify]: Simplify (+ 0 0) into 0 1.162 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 1.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 1.162 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.163 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 y))) 1)) (pow 2 1)))) 1) into (/ -1/2 y) 1.163 * [backup-simplify]: Simplify (* (exp (log 2)) (+ (* (/ (pow (/ -1/2 y) 1) 1)))) into (/ -1 y) 1.164 * [backup-simplify]: Simplify (- 0) into 0 1.164 * [backup-simplify]: Simplify (+ (/ -1 y) 0) into (- (/ 1 y)) 1.164 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.164 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.164 * [taylor]: Taking taylor expansion of y in y 1.164 * [backup-simplify]: Simplify 0 into 0 1.164 * [backup-simplify]: Simplify 1 into 1 1.164 * [backup-simplify]: Simplify (/ 1 1) into 1 1.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.165 * [backup-simplify]: Simplify (- 0) into 0 1.165 * [backup-simplify]: Simplify 0 into 0 1.165 * [backup-simplify]: Simplify 0 into 0 1.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.166 * [backup-simplify]: Simplify (+ 0 0) into 0 1.166 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 1.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 1.167 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.168 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 y))) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 2 1)))) 2) into (/ 3/8 (pow y 2)) 1.169 * [backup-simplify]: Simplify (* (exp (log 2)) (+ (* (/ (pow (/ -1/2 y) 2) 2)) (* (/ (pow (/ 3/8 (pow y 2)) 1) 1)))) into (/ 1 (pow y 2)) 1.169 * [backup-simplify]: Simplify (- 0) into 0 1.169 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.169 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.169 * [taylor]: Taking taylor expansion of y in y 1.169 * [backup-simplify]: Simplify 0 into 0 1.169 * [backup-simplify]: Simplify 1 into 1 1.169 * [backup-simplify]: Simplify (* 1 1) into 1 1.170 * [backup-simplify]: Simplify (/ 1 1) into 1 1.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.171 * [backup-simplify]: Simplify 0 into 0 1.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.172 * [backup-simplify]: Simplify (- 0) into 0 1.172 * [backup-simplify]: Simplify 0 into 0 1.172 * [backup-simplify]: Simplify 0 into 0 1.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.173 * [backup-simplify]: Simplify (+ 0 0) into 0 1.174 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 1.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 1.175 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 3)))) into (- (/ 1 (pow y 3))) 1.176 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 y))) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 y))) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (/ 1 (pow y 3)))) 1)) (pow 2 1)))) 6) into (/ -7/24 (pow y 3)) 1.177 * [backup-simplify]: Simplify (* (exp (log 2)) (+ (* (/ (pow (/ -1/2 y) 3) 6)) (* (/ (pow (/ -1/2 y) 1) 1) (/ (pow (/ 3/8 (pow y 2)) 1) 1)) (* (/ (pow (/ -7/24 (pow y 3)) 1) 1)))) into (/ -1 (pow y 3)) 1.177 * [backup-simplify]: Simplify (- 0) into 0 1.177 * [backup-simplify]: Simplify (+ (/ -1 (pow y 3)) 0) into (- (/ 1 (pow y 3))) 1.177 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 1.177 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.177 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.177 * [taylor]: Taking taylor expansion of y in y 1.178 * [backup-simplify]: Simplify 0 into 0 1.178 * [backup-simplify]: Simplify 1 into 1 1.178 * [backup-simplify]: Simplify (* 1 1) into 1 1.178 * [backup-simplify]: Simplify (* 1 1) into 1 1.178 * [backup-simplify]: Simplify (/ 1 1) into 1 1.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.182 * [backup-simplify]: Simplify (- 0) into 0 1.183 * [backup-simplify]: Simplify 0 into 0 1.183 * [backup-simplify]: Simplify 1 into 1 1.183 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 1.183 * [backup-simplify]: Simplify (/ x (+ y x)) into (/ x (+ x y)) 1.183 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 1.183 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 1.183 * [taylor]: Taking taylor expansion of x in y 1.183 * [backup-simplify]: Simplify x into x 1.183 * [taylor]: Taking taylor expansion of (+ x y) in y 1.183 * [taylor]: Taking taylor expansion of x in y 1.183 * [backup-simplify]: Simplify x into x 1.183 * [taylor]: Taking taylor expansion of y in y 1.183 * [backup-simplify]: Simplify 0 into 0 1.183 * [backup-simplify]: Simplify 1 into 1 1.183 * [backup-simplify]: Simplify (+ x 0) into x 1.183 * [backup-simplify]: Simplify (/ x x) into 1 1.183 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.183 * [backup-simplify]: Simplify 0 into 0 1.183 * [backup-simplify]: Simplify 1 into 1 1.183 * [taylor]: Taking taylor expansion of (+ x y) in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.183 * [backup-simplify]: Simplify 0 into 0 1.183 * [backup-simplify]: Simplify 1 into 1 1.183 * [taylor]: Taking taylor expansion of y in x 1.183 * [backup-simplify]: Simplify y into y 1.183 * [backup-simplify]: Simplify (+ 0 y) into y 1.183 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.183 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.183 * [backup-simplify]: Simplify 0 into 0 1.183 * [backup-simplify]: Simplify 1 into 1 1.183 * [taylor]: Taking taylor expansion of (+ x y) in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.183 * [backup-simplify]: Simplify 0 into 0 1.183 * [backup-simplify]: Simplify 1 into 1 1.183 * [taylor]: Taking taylor expansion of y in x 1.183 * [backup-simplify]: Simplify y into y 1.183 * [backup-simplify]: Simplify (+ 0 y) into y 1.183 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.183 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.183 * [taylor]: Taking taylor expansion of y in y 1.183 * [backup-simplify]: Simplify 0 into 0 1.183 * [backup-simplify]: Simplify 1 into 1 1.184 * [backup-simplify]: Simplify (/ 1 1) into 1 1.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.184 * [backup-simplify]: Simplify 0 into 0 1.184 * [backup-simplify]: Simplify (+ 1 0) into 1 1.185 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 1.185 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.185 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.185 * [taylor]: Taking taylor expansion of y in y 1.185 * [backup-simplify]: Simplify 0 into 0 1.185 * [backup-simplify]: Simplify 1 into 1 1.185 * [backup-simplify]: Simplify (* 1 1) into 1 1.185 * [backup-simplify]: Simplify (/ 1 1) into 1 1.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.187 * [backup-simplify]: Simplify (- 0) into 0 1.187 * [backup-simplify]: Simplify 0 into 0 1.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.187 * [backup-simplify]: Simplify 0 into 0 1.188 * [backup-simplify]: Simplify (+ 0 0) into 0 1.188 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 1.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.188 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.188 * [taylor]: Taking taylor expansion of y in y 1.188 * [backup-simplify]: Simplify 0 into 0 1.188 * [backup-simplify]: Simplify 1 into 1 1.188 * [backup-simplify]: Simplify (* 1 1) into 1 1.189 * [backup-simplify]: Simplify (* 1 1) into 1 1.189 * [backup-simplify]: Simplify (/ 1 1) into 1 1.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.193 * [backup-simplify]: Simplify 0 into 0 1.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.194 * [backup-simplify]: Simplify (- 0) into 0 1.194 * [backup-simplify]: Simplify 0 into 0 1.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.195 * [backup-simplify]: Simplify 0 into 0 1.195 * [backup-simplify]: Simplify 0 into 0 1.195 * [backup-simplify]: Simplify (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1.195 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 1.195 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.195 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.195 * [taylor]: Taking taylor expansion of x in y 1.195 * [backup-simplify]: Simplify x into x 1.195 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.195 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.195 * [taylor]: Taking taylor expansion of y in y 1.195 * [backup-simplify]: Simplify 0 into 0 1.195 * [backup-simplify]: Simplify 1 into 1 1.195 * [backup-simplify]: Simplify (/ 1 1) into 1 1.195 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.195 * [taylor]: Taking taylor expansion of x in y 1.195 * [backup-simplify]: Simplify x into x 1.195 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.196 * [backup-simplify]: Simplify (+ 1 0) into 1 1.196 * [backup-simplify]: Simplify (* x 1) into x 1.196 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.196 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.196 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.196 * [taylor]: Taking taylor expansion of x in x 1.196 * [backup-simplify]: Simplify 0 into 0 1.196 * [backup-simplify]: Simplify 1 into 1 1.196 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.196 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.196 * [taylor]: Taking taylor expansion of y in x 1.196 * [backup-simplify]: Simplify y into y 1.196 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.196 * [taylor]: Taking taylor expansion of x in x 1.196 * [backup-simplify]: Simplify 0 into 0 1.196 * [backup-simplify]: Simplify 1 into 1 1.196 * [backup-simplify]: Simplify (/ 1 1) into 1 1.196 * [backup-simplify]: Simplify (+ 0 1) into 1 1.197 * [backup-simplify]: Simplify (* 0 1) into 0 1.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.197 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.197 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 1.198 * [backup-simplify]: Simplify (/ 1 1) into 1 1.198 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.198 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.198 * [taylor]: Taking taylor expansion of x in x 1.198 * [backup-simplify]: Simplify 0 into 0 1.198 * [backup-simplify]: Simplify 1 into 1 1.198 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.198 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.198 * [taylor]: Taking taylor expansion of y in x 1.198 * [backup-simplify]: Simplify y into y 1.198 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.198 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.198 * [taylor]: Taking taylor expansion of x in x 1.198 * [backup-simplify]: Simplify 0 into 0 1.198 * [backup-simplify]: Simplify 1 into 1 1.198 * [backup-simplify]: Simplify (/ 1 1) into 1 1.198 * [backup-simplify]: Simplify (+ 0 1) into 1 1.199 * [backup-simplify]: Simplify (* 0 1) into 0 1.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.199 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.199 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 1.199 * [backup-simplify]: Simplify (/ 1 1) into 1 1.200 * [taylor]: Taking taylor expansion of 1 in y 1.200 * [backup-simplify]: Simplify 1 into 1 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.200 * [backup-simplify]: Simplify (+ 0 0) into 0 1.201 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 1.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 1.201 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.201 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.201 * [taylor]: Taking taylor expansion of y in y 1.201 * [backup-simplify]: Simplify 0 into 0 1.201 * [backup-simplify]: Simplify 1 into 1 1.201 * [backup-simplify]: Simplify (/ 1 1) into 1 1.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.202 * [backup-simplify]: Simplify (- 0) into 0 1.202 * [backup-simplify]: Simplify 0 into 0 1.202 * [backup-simplify]: Simplify 0 into 0 1.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.203 * [backup-simplify]: Simplify (+ 0 0) into 0 1.204 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 1.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 1.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.205 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.205 * [taylor]: Taking taylor expansion of y in y 1.205 * [backup-simplify]: Simplify 0 into 0 1.205 * [backup-simplify]: Simplify 1 into 1 1.205 * [backup-simplify]: Simplify (* 1 1) into 1 1.205 * [backup-simplify]: Simplify (/ 1 1) into 1 1.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.210 * [backup-simplify]: Simplify 0 into 0 1.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.211 * [backup-simplify]: Simplify (- 0) into 0 1.211 * [backup-simplify]: Simplify 0 into 0 1.211 * [backup-simplify]: Simplify 0 into 0 1.211 * [backup-simplify]: Simplify 0 into 0 1.211 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 1.211 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 1.211 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 1.211 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 1.212 * [taylor]: Taking taylor expansion of x in y 1.212 * [backup-simplify]: Simplify x into x 1.212 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.212 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.212 * [taylor]: Taking taylor expansion of y in y 1.212 * [backup-simplify]: Simplify 0 into 0 1.212 * [backup-simplify]: Simplify 1 into 1 1.212 * [backup-simplify]: Simplify (/ 1 1) into 1 1.212 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.212 * [taylor]: Taking taylor expansion of x in y 1.212 * [backup-simplify]: Simplify x into x 1.212 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.212 * [backup-simplify]: Simplify (+ 1 0) into 1 1.212 * [backup-simplify]: Simplify (* x 1) into x 1.212 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.212 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.212 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.212 * [taylor]: Taking taylor expansion of x in x 1.212 * [backup-simplify]: Simplify 0 into 0 1.212 * [backup-simplify]: Simplify 1 into 1 1.212 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.212 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.212 * [taylor]: Taking taylor expansion of y in x 1.212 * [backup-simplify]: Simplify y into y 1.212 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.212 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.213 * [taylor]: Taking taylor expansion of x in x 1.213 * [backup-simplify]: Simplify 0 into 0 1.213 * [backup-simplify]: Simplify 1 into 1 1.213 * [backup-simplify]: Simplify (/ 1 1) into 1 1.213 * [backup-simplify]: Simplify (+ 0 1) into 1 1.213 * [backup-simplify]: Simplify (* 0 1) into 0 1.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.214 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.214 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 1.214 * [backup-simplify]: Simplify (/ 1 1) into 1 1.214 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 1.215 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 1.215 * [taylor]: Taking taylor expansion of x in x 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [backup-simplify]: Simplify 1 into 1 1.215 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.215 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.215 * [taylor]: Taking taylor expansion of y in x 1.215 * [backup-simplify]: Simplify y into y 1.215 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.215 * [taylor]: Taking taylor expansion of x in x 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [backup-simplify]: Simplify 1 into 1 1.215 * [backup-simplify]: Simplify (/ 1 1) into 1 1.215 * [backup-simplify]: Simplify (+ 0 1) into 1 1.215 * [backup-simplify]: Simplify (* 0 1) into 0 1.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.216 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.216 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 1.217 * [backup-simplify]: Simplify (/ 1 1) into 1 1.217 * [taylor]: Taking taylor expansion of 1 in y 1.217 * [backup-simplify]: Simplify 1 into 1 1.217 * [backup-simplify]: Simplify 0 into 0 1.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.218 * [backup-simplify]: Simplify (+ 0 0) into 0 1.218 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 1.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 1.218 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.218 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.218 * [taylor]: Taking taylor expansion of y in y 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify 1 into 1 1.219 * [backup-simplify]: Simplify (/ 1 1) into 1 1.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.220 * [backup-simplify]: Simplify (- 0) into 0 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.221 * [backup-simplify]: Simplify (+ 0 0) into 0 1.221 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 1.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 1.222 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.222 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.222 * [taylor]: Taking taylor expansion of y in y 1.222 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify 1 into 1 1.222 * [backup-simplify]: Simplify (* 1 1) into 1 1.222 * [backup-simplify]: Simplify (/ 1 1) into 1 1.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.225 * [backup-simplify]: Simplify 0 into 0 1.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.226 * [backup-simplify]: Simplify (- 0) into 0 1.226 * [backup-simplify]: Simplify 0 into 0 1.226 * [backup-simplify]: Simplify 0 into 0 1.226 * [backup-simplify]: Simplify 0 into 0 1.226 * * * [progress]: simplifying candidates 1.228 * [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 (/ (* (cbrt x) (cbrt x)) 1) 3)) (cbrt (pow (/ (cbrt x) (+ y x)) 3)) (cbrt (pow (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) 3)) (cbrt (pow (/ (sqrt x) (cbrt (+ y x))) 3)) (cbrt (pow (/ (sqrt x) (sqrt (+ y x))) 3)) (cbrt (pow (/ (sqrt x) (sqrt (+ y x))) 3)) (cbrt (pow (/ (sqrt x) 1) 3)) (cbrt (pow (/ (sqrt x) (+ y x)) 3)) (cbrt (pow (/ (sqrt x) 1) 3)) (cbrt (pow (/ (sqrt x) (+ y x)) 3)) (cbrt (pow (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) 3)) (cbrt (pow (/ x (cbrt (+ y x))) 3)) (cbrt (pow (/ 1 (sqrt (+ y x))) 3)) (cbrt (pow (/ x (sqrt (+ y x))) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ x (+ y x)) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ x (+ y x)) 3)) (cbrt (pow 1 3)) (cbrt (pow (/ x (+ y x)) 3)) (cbrt (pow x 3)) (cbrt (pow (/ 1 (+ y x)) 3)) (cbrt (pow (/ x (+ (pow y 3) (pow x 3))) 3)) (cbrt (pow (+ (* y y) (- (* x x) (* y x))) 3)) (cbrt (pow (/ x (- (* y y) (* x x))) 3)) (cbrt (pow (- y x) 3)) (cbrt (* (/ x (+ y x)) (/ x (+ y x)))) (cbrt (/ x (+ y x))) (cbrt (* (cbrt (pow (/ x (+ y x)) 3)) (cbrt (pow (/ x (+ y x)) 3)))) (cbrt (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 (/ (* (cbrt x) (cbrt x)) 1) 3)) (cbrt (pow (/ (cbrt x) (+ y x)) 3)) (cbrt (pow (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) 3)) (cbrt (pow (/ (sqrt x) (cbrt (+ y x))) 3)) (cbrt (pow (/ (sqrt x) (sqrt (+ y x))) 3)) (cbrt (pow (/ (sqrt x) (sqrt (+ y x))) 3)) (cbrt (pow (/ (sqrt x) 1) 3)) (cbrt (pow (/ (sqrt x) (+ y x)) 3)) (cbrt (pow (/ (sqrt x) 1) 3)) (cbrt (pow (/ (sqrt x) (+ y x)) 3)) (cbrt (pow (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) 3)) (cbrt (pow (/ x (cbrt (+ y x))) 3)) (cbrt (pow (/ 1 (sqrt (+ y x))) 3)) (cbrt (pow (/ x (sqrt (+ y x))) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ x (+ y x)) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ x (+ y x)) 3)) (cbrt (pow 1 3)) (cbrt (pow (/ x (+ y x)) 3)) (cbrt (pow x 3)) (cbrt (pow (/ 1 (+ y x)) 3)) (cbrt (pow (/ x (+ (pow y 3) (pow x 3))) 3)) (cbrt (pow (+ (* y y) (- (* x x) (* y x))) 3)) (cbrt (pow (/ x (- (* y y) (* x x))) 3)) (cbrt (pow (- y x) 3)) (cbrt (/ x (+ y x))) (cbrt (* (/ x (+ y x)) (/ x (+ y x)))) (cbrt (sqrt (pow (/ x (+ y x)) 3))) (cbrt (sqrt (pow (/ x (+ y x)) 3))) (cbrt 1) (cbrt (pow (/ x (+ y x)) 3)) (cbrt (pow (/ x (+ y x)) (/ 3 2))) (cbrt (pow (/ x (+ y x)) (/ 3 2))) (cbrt (pow x 3)) (cbrt (pow (+ y x) 3)) (* (cbrt (cbrt (pow (/ x (+ y x)) 3))) (cbrt (cbrt (pow (/ x (+ y x)) 3)))) (cbrt (cbrt (pow (/ x (+ y x)) 3))) (* (* (cbrt (pow (/ x (+ y x)) 3)) (cbrt (pow (/ x (+ y x)) 3))) (cbrt (pow (/ x (+ y x)) 3))) (sqrt (cbrt (pow (/ x (+ y x)) 3))) (sqrt (cbrt (pow (/ x (+ y x)) 3))) (expm1 (pow (/ x (+ y x)) 3)) (log1p (pow (/ x (+ y x)) 3)) (* (- (log x) (log (+ y x))) 3) (* (log (/ x (+ y x))) 3) (* (log (/ x (+ y x))) 3) (* 1 3) (pow (/ x (+ y x)) (* (cbrt 3) (cbrt 3))) (pow (/ x (+ y x)) (sqrt 3)) (pow (/ x (+ y x)) 1) (pow (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) 3) (pow (cbrt (/ x (+ y x))) 3) (pow (sqrt (/ x (+ y x))) 3) (pow (sqrt (/ x (+ y x))) 3) (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) 3) (pow (/ (cbrt x) (cbrt (+ y x))) 3) (pow (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) 3) (pow (/ (cbrt x) (sqrt (+ y x))) 3) (pow (/ (* (cbrt x) (cbrt x)) 1) 3) (pow (/ (cbrt x) (+ y x)) 3) (pow (/ (* (cbrt x) (cbrt x)) 1) 3) (pow (/ (cbrt x) (+ y x)) 3) (pow (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) 3) (pow (/ (sqrt x) (cbrt (+ y x))) 3) (pow (/ (sqrt x) (sqrt (+ y x))) 3) (pow (/ (sqrt x) (sqrt (+ y x))) 3) (pow (/ (sqrt x) 1) 3) (pow (/ (sqrt x) (+ y x)) 3) (pow (/ (sqrt x) 1) 3) (pow (/ (sqrt x) (+ y x)) 3) (pow (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) 3) (pow (/ x (cbrt (+ y x))) 3) (pow (/ 1 (sqrt (+ y x))) 3) (pow (/ x (sqrt (+ y x))) 3) (pow (/ 1 1) 3) (pow (/ x (+ y x)) 3) (pow (/ 1 1) 3) (pow (/ x (+ y x)) 3) (pow 1 3) (pow (/ x (+ y x)) 3) (pow x 3) (pow (/ 1 (+ y x)) 3) (pow (/ x (+ (pow y 3) (pow x 3))) 3) (pow (+ (* y y) (- (* x x) (* y x))) 3) (pow (/ x (- (* y y) (* 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(/ (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 0 0 0 1 1 0 0 0 1.229 * [simplify]: Sending expressions to egg_math: (expm1 (cbrt (pow (/ h0 (+ h1 h0)) 3))) (log1p (cbrt (pow (/ h0 (+ h1 h0)) 3))) (log (cbrt (pow (/ h0 (+ h1 h0)) 3))) (exp (cbrt (pow (/ h0 (+ h1 h0)) 3))) (cbrt (pow (* (cbrt (/ h0 (+ h1 h0))) (cbrt (/ h0 (+ h1 h0)))) 3)) (cbrt (pow (cbrt (/ h0 (+ h1 h0))) 3)) (cbrt (pow (sqrt (/ h0 (+ h1 h0))) 3)) (cbrt (pow (sqrt (/ h0 (+ h1 h0))) 3)) (cbrt (pow (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) 3)) (cbrt (pow (/ (cbrt h0) (cbrt (+ h1 h0))) 3)) (cbrt (pow (/ (* (cbrt h0) (cbrt h0)) (sqrt (+ h1 h0))) 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(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 0 0 0 1 1 0 0 0 1.236 * * [simplify]: iteration 0 : 408 enodes (cost 856 ) 1.244 * * [simplify]: iteration 1 : 1800 enodes (cost 777 ) 1.274 * * [simplify]: iteration 2 : 5001 enodes (cost 769 ) 1.279 * * * [progress]: adding candidates to table 1.546 * [progress]: [Phase 3 of 3] Extracting. 1.546 * * [regime]: Finding splitpoints for: (# # #) 1.547 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ y x)) y x) 1.547 * * * * [regimes]: Trying to branch on (/ x (+ y x)) from (# # #) 1.558 * * * * [regimes]: Trying to branch on y from (# # #) 1.571 * * * * [regimes]: Trying to branch on x from (# # #) 1.587 * * * [regime]: Found split indices: #