27.984 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying: (/ x (+ x y)) 0.017 * * [simplify]: iteration 0: 4 enodes 0.018 * * [simplify]: iteration 1: 5 enodes 0.018 * * [simplify]: iteration complete: 5 enodes 0.018 * * [simplify]: Extracting #0: cost 1 inf + 0 0.019 * * [simplify]: Extracting #1: cost 3 inf + 0 0.019 * * [simplify]: Extracting #2: cost 3 inf + 1 0.019 * * [simplify]: Extracting #3: cost 0 inf + 126 0.019 * [simplify]: Simplified to: (/ x (+ y x)) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.037 * * * [progress]: generating series expansions 0.037 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.037 * [backup-simplify]: Simplify (/ x (+ x y)) into (/ x (+ x y)) 0.037 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.037 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.037 * [taylor]: Taking taylor expansion of x in y 0.037 * [backup-simplify]: Simplify x into x 0.037 * [taylor]: Taking taylor expansion of (+ x y) in y 0.037 * [taylor]: Taking taylor expansion of x in y 0.037 * [backup-simplify]: Simplify x into x 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 (+ x 0) into x 0.037 * [backup-simplify]: Simplify (/ x x) into 1 0.037 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [backup-simplify]: Simplify 0 into 0 0.037 * [backup-simplify]: Simplify 1 into 1 0.037 * [taylor]: Taking taylor expansion of (+ x y) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [backup-simplify]: Simplify 0 into 0 0.037 * [backup-simplify]: Simplify 1 into 1 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [backup-simplify]: Simplify y into y 0.037 * [backup-simplify]: Simplify (+ 0 y) into y 0.037 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.037 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [backup-simplify]: Simplify 0 into 0 0.037 * [backup-simplify]: Simplify 1 into 1 0.037 * [taylor]: Taking taylor expansion of (+ x y) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [backup-simplify]: Simplify 0 into 0 0.038 * [backup-simplify]: Simplify 1 into 1 0.038 * [taylor]: Taking taylor expansion of y in x 0.038 * [backup-simplify]: Simplify y into y 0.038 * [backup-simplify]: Simplify (+ 0 y) into y 0.038 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.038 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [backup-simplify]: Simplify 0 into 0 0.038 * [backup-simplify]: Simplify 1 into 1 0.038 * [backup-simplify]: Simplify (/ 1 1) into 1 0.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.039 * [backup-simplify]: Simplify 0 into 0 0.039 * [backup-simplify]: Simplify (+ 1 0) into 1 0.039 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.039 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.039 * [backup-simplify]: Simplify 0 into 0 0.039 * [backup-simplify]: Simplify 1 into 1 0.039 * [backup-simplify]: Simplify (* 1 1) into 1 0.040 * [backup-simplify]: Simplify (/ 1 1) into 1 0.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.042 * [backup-simplify]: Simplify (- 0) into 0 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.042 * [backup-simplify]: Simplify 0 into 0 0.043 * [backup-simplify]: Simplify (+ 0 0) into 0 0.043 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.043 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.043 * [backup-simplify]: Simplify 0 into 0 0.043 * [backup-simplify]: Simplify 1 into 1 0.043 * [backup-simplify]: Simplify (* 1 1) into 1 0.043 * [backup-simplify]: Simplify (* 1 1) into 1 0.044 * [backup-simplify]: Simplify (/ 1 1) into 1 0.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 0.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.049 * [backup-simplify]: Simplify (- 0) into 0 0.049 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify (/ (/ 1 x) (+ (/ 1 x) (/ 1 y))) into (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) 0.050 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in (x y) around 0 0.050 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in y 0.050 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [backup-simplify]: Simplify x into x 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [backup-simplify]: Simplify x into x 0.050 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 1 into 1 0.050 * [backup-simplify]: Simplify (/ 1 1) into 1 0.051 * [backup-simplify]: Simplify (+ 0 1) into 1 0.051 * [backup-simplify]: Simplify (* x 1) into x 0.051 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.051 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in x 0.051 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) 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 x) (/ 1 y)) in x 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 0.051 * [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) 0.052 * [backup-simplify]: Simplify (+ 1 0) 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 (+ 0 (/ 1 y)) into (/ 1 y) 0.053 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.053 * [backup-simplify]: Simplify (/ 1 1) into 1 0.053 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in x 0.053 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify (/ 1 1) into 1 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [backup-simplify]: Simplify y into y 0.053 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.054 * [backup-simplify]: Simplify (+ 1 0) into 1 0.054 * [backup-simplify]: Simplify (* 0 1) into 0 0.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.055 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.055 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.055 * [backup-simplify]: Simplify (/ 1 1) into 1 0.055 * [taylor]: Taking taylor expansion of 1 in y 0.056 * [backup-simplify]: Simplify 1 into 1 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.056 * [backup-simplify]: Simplify (+ 0 0) into 0 0.057 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.057 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [backup-simplify]: Simplify (/ 1 1) into 1 0.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.058 * [backup-simplify]: Simplify (- 0) into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.059 * [backup-simplify]: Simplify (+ 0 0) into 0 0.060 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [backup-simplify]: Simplify (* 1 1) into 1 0.061 * [backup-simplify]: Simplify (/ 1 1) into 1 0.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.065 * [backup-simplify]: Simplify (- 0) into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) 0.065 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in (x y) around 0 0.065 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in y 0.065 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in y 0.065 * [taylor]: Taking taylor expansion of x in y 0.065 * [backup-simplify]: Simplify x into x 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.065 * [taylor]: Taking taylor expansion of x in y 0.065 * [backup-simplify]: Simplify x into x 0.065 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (/ 1 1) into 1 0.066 * [backup-simplify]: Simplify (+ 0 1) into 1 0.066 * [backup-simplify]: Simplify (* x 1) into x 0.066 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.066 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in x 0.066 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (/ 1 1) into 1 0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.066 * [backup-simplify]: Simplify y into y 0.066 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.067 * [backup-simplify]: Simplify (+ 1 0) into 1 0.067 * [backup-simplify]: Simplify (* 0 1) into 0 0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.067 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.068 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.068 * [backup-simplify]: Simplify (/ 1 1) into 1 0.068 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in x 0.068 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.068 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.068 * [backup-simplify]: Simplify (/ 1 1) into 1 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [backup-simplify]: Simplify y into y 0.068 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.069 * [backup-simplify]: Simplify (+ 1 0) into 1 0.069 * [backup-simplify]: Simplify (* 0 1) into 0 0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.070 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.070 * [backup-simplify]: Simplify (/ 1 1) into 1 0.070 * [taylor]: Taking taylor expansion of 1 in y 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.071 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.076 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [backup-simplify]: Simplify (/ 1 1) into 1 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify (- 0) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.080 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify (* 1 1) into 1 0.080 * [backup-simplify]: Simplify (/ 1 1) into 1 0.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (- 0) into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.085 * * * [progress]: simplifying candidates 0.085 * [simplify]: Simplifying: (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (- (log x) (log (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (/ (* (* x x) x) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (- x) (- (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (/ 1 1) (/ x (+ x y)) (/ 1 1) (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) (/ x 1) (/ x 1) (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0.086 * * [simplify]: iteration 0: 61 enodes 0.098 * * [simplify]: iteration 1: 131 enodes 0.138 * * [simplify]: iteration 2: 412 enodes 0.278 * * [simplify]: iteration 3: 1481 enodes 1.016 * * [simplify]: iteration complete: 5019 enodes 1.016 * * [simplify]: Extracting #0: cost 36 inf + 0 1.018 * * [simplify]: Extracting #1: cost 373 inf + 85 1.024 * * [simplify]: Extracting #2: cost 774 inf + 6441 1.045 * * [simplify]: Extracting #3: cost 737 inf + 76264 1.088 * * [simplify]: Extracting #4: cost 817 inf + 149605 1.158 * * [simplify]: Extracting #5: cost 83 inf + 220426 1.218 * * [simplify]: Extracting #6: cost 21 inf + 237861 1.275 * * [simplify]: Extracting #7: cost 1 inf + 241946 1.349 * * [simplify]: Extracting #8: cost 0 inf + 242199 1.424 * [simplify]: Simplified to: (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (* (* (/ x (+ y x)) (/ x (+ y x))) (/ 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 (+ y x))) (/ (cbrt x) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (cbrt x) (/ (sqrt (+ y x)) (cbrt x))) (/ (cbrt x) (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (* (cbrt x) (cbrt x)) (/ (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) (/ (sqrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ (/ x (cbrt (+ y x))) (cbrt (+ y x))) (/ x (sqrt (+ y x))) x x (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (fma x (* x x) (* y (* y y)))) (/ x (* (+ y x) (- x y))) 0 0 0 1.426 * * * [progress]: adding candidates to table 1.590 * * [progress]: iteration 2 / 4 1.590 * * * [progress]: picking best candidate 1.593 * * * * [pick]: Picked # 1.593 * * * [progress]: localizing error 1.601 * * * [progress]: generating rewritten candidates 1.601 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.617 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.655 * * * [progress]: generating series expansions 1.655 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.655 * [backup-simplify]: Simplify (/ 1 (/ (+ x y) x)) into (/ x (+ x y)) 1.655 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 1.655 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 1.655 * [taylor]: Taking taylor expansion of x in y 1.655 * [backup-simplify]: Simplify x into x 1.655 * [taylor]: Taking taylor expansion of (+ x y) in y 1.655 * [taylor]: Taking taylor expansion of x in y 1.655 * [backup-simplify]: Simplify x into x 1.655 * [taylor]: Taking taylor expansion of y in y 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 1 into 1 1.655 * [backup-simplify]: Simplify (+ x 0) into x 1.656 * [backup-simplify]: Simplify (/ x x) into 1 1.656 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.656 * [taylor]: Taking taylor expansion of x in x 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify 1 into 1 1.656 * [taylor]: Taking taylor expansion of (+ x y) in x 1.656 * [taylor]: Taking taylor expansion of x in x 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify 1 into 1 1.656 * [taylor]: Taking taylor expansion of y in x 1.656 * [backup-simplify]: Simplify y into y 1.656 * [backup-simplify]: Simplify (+ 0 y) into y 1.656 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.656 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 1.656 * [taylor]: Taking taylor expansion of x in x 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify 1 into 1 1.656 * [taylor]: Taking taylor expansion of (+ x y) in x 1.656 * [taylor]: Taking taylor expansion of x in x 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify 1 into 1 1.656 * [taylor]: Taking taylor expansion of y in x 1.656 * [backup-simplify]: Simplify y into y 1.656 * [backup-simplify]: Simplify (+ 0 y) into y 1.657 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.657 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.657 * [taylor]: Taking taylor expansion of y in y 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify 1 into 1 1.657 * [backup-simplify]: Simplify (/ 1 1) into 1 1.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.658 * [backup-simplify]: Simplify 0 into 0 1.659 * [backup-simplify]: Simplify (+ 1 0) into 1 1.659 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 1.659 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.659 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.659 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.659 * [taylor]: Taking taylor expansion of y in y 1.659 * [backup-simplify]: Simplify 0 into 0 1.659 * [backup-simplify]: Simplify 1 into 1 1.660 * [backup-simplify]: Simplify (* 1 1) into 1 1.660 * [backup-simplify]: Simplify (/ 1 1) into 1 1.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.664 * [backup-simplify]: Simplify (- 0) into 0 1.664 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.664 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify (+ 0 0) into 0 1.665 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 1.665 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.665 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.665 * [taylor]: Taking taylor expansion of y in y 1.665 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify 1 into 1 1.666 * [backup-simplify]: Simplify (* 1 1) into 1 1.666 * [backup-simplify]: Simplify (* 1 1) into 1 1.666 * [backup-simplify]: Simplify (/ 1 1) into 1 1.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.670 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.672 * [backup-simplify]: Simplify (- 0) into 0 1.672 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.672 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify (/ 1 (/ (+ (/ 1 x) (/ 1 y)) (/ 1 x))) into (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) 1.673 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in (x y) around 0 1.673 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in y 1.673 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in y 1.673 * [taylor]: Taking taylor expansion of x in y 1.673 * [backup-simplify]: Simplify x into x 1.673 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 1.673 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.673 * [taylor]: Taking taylor expansion of x in y 1.673 * [backup-simplify]: Simplify x into x 1.673 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.673 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.673 * [taylor]: Taking taylor expansion of y in y 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 1 into 1 1.673 * [backup-simplify]: Simplify (/ 1 1) into 1 1.673 * [backup-simplify]: Simplify (+ 0 1) into 1 1.673 * [backup-simplify]: Simplify (* x 1) into x 1.673 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.673 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in x 1.673 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 1.673 * [taylor]: Taking taylor expansion of x in x 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 1 into 1 1.673 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.673 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.674 * [taylor]: Taking taylor expansion of x in x 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify 1 into 1 1.674 * [backup-simplify]: Simplify (/ 1 1) into 1 1.674 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.674 * [taylor]: Taking taylor expansion of y in x 1.674 * [backup-simplify]: Simplify y into y 1.674 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.674 * [backup-simplify]: Simplify (+ 1 0) into 1 1.675 * [backup-simplify]: Simplify (* 0 1) into 0 1.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.675 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.675 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 1.676 * [backup-simplify]: Simplify (/ 1 1) into 1 1.676 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in x 1.676 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 1.676 * [taylor]: Taking taylor expansion of x in x 1.676 * [backup-simplify]: Simplify 0 into 0 1.676 * [backup-simplify]: Simplify 1 into 1 1.676 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.676 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.676 * [taylor]: Taking taylor expansion of x in x 1.676 * [backup-simplify]: Simplify 0 into 0 1.676 * [backup-simplify]: Simplify 1 into 1 1.676 * [backup-simplify]: Simplify (/ 1 1) into 1 1.676 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.676 * [taylor]: Taking taylor expansion of y in x 1.676 * [backup-simplify]: Simplify y into y 1.676 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.676 * [backup-simplify]: Simplify (+ 1 0) into 1 1.677 * [backup-simplify]: Simplify (* 0 1) into 0 1.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.677 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.677 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 1.678 * [backup-simplify]: Simplify (/ 1 1) into 1 1.678 * [taylor]: Taking taylor expansion of 1 in y 1.678 * [backup-simplify]: Simplify 1 into 1 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.679 * [backup-simplify]: Simplify (+ 0 0) into 0 1.679 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 1.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 1.679 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.679 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.679 * [taylor]: Taking taylor expansion of y in y 1.679 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify 1 into 1 1.680 * [backup-simplify]: Simplify (/ 1 1) into 1 1.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.681 * [backup-simplify]: Simplify (- 0) into 0 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.682 * [backup-simplify]: Simplify (+ 0 0) into 0 1.682 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 1.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 1.683 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.683 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.683 * [taylor]: Taking taylor expansion of y in y 1.683 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify 1 into 1 1.683 * [backup-simplify]: Simplify (* 1 1) into 1 1.683 * [backup-simplify]: Simplify (/ 1 1) into 1 1.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.687 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.688 * [backup-simplify]: Simplify (- 0) into 0 1.688 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify (/ 1 (/ (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x)))) into (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) 1.689 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in (x y) around 0 1.689 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in y 1.689 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in y 1.689 * [taylor]: Taking taylor expansion of x in y 1.689 * [backup-simplify]: Simplify x into x 1.689 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 1.689 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.689 * [taylor]: Taking taylor expansion of x in y 1.689 * [backup-simplify]: Simplify x into x 1.689 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.689 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.689 * [taylor]: Taking taylor expansion of y in y 1.689 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify 1 into 1 1.690 * [backup-simplify]: Simplify (/ 1 1) into 1 1.690 * [backup-simplify]: Simplify (+ 0 1) into 1 1.690 * [backup-simplify]: Simplify (* x 1) into x 1.690 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.690 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in x 1.690 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 1.690 * [taylor]: Taking taylor expansion of x in x 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 1 into 1 1.690 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.690 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.690 * [taylor]: Taking taylor expansion of x in x 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 1 into 1 1.691 * [backup-simplify]: Simplify (/ 1 1) into 1 1.691 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.691 * [taylor]: Taking taylor expansion of y in x 1.691 * [backup-simplify]: Simplify y into y 1.691 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.691 * [backup-simplify]: Simplify (+ 1 0) into 1 1.692 * [backup-simplify]: Simplify (* 0 1) into 0 1.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.692 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.693 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 1.693 * [backup-simplify]: Simplify (/ 1 1) into 1 1.693 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in x 1.693 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 1.693 * [taylor]: Taking taylor expansion of x in x 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify 1 into 1 1.693 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.693 * [taylor]: Taking taylor expansion of x in x 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify 1 into 1 1.694 * [backup-simplify]: Simplify (/ 1 1) into 1 1.694 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.694 * [taylor]: Taking taylor expansion of y in x 1.694 * [backup-simplify]: Simplify y into y 1.694 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.694 * [backup-simplify]: Simplify (+ 1 0) into 1 1.695 * [backup-simplify]: Simplify (* 0 1) into 0 1.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.696 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.696 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 1.696 * [backup-simplify]: Simplify (/ 1 1) into 1 1.696 * [taylor]: Taking taylor expansion of 1 in y 1.696 * [backup-simplify]: Simplify 1 into 1 1.696 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.698 * [backup-simplify]: Simplify (+ 0 0) into 0 1.698 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 1.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 1.698 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.698 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.698 * [taylor]: Taking taylor expansion of y in y 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 1 into 1 1.698 * [backup-simplify]: Simplify (/ 1 1) into 1 1.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.700 * [backup-simplify]: Simplify (- 0) into 0 1.700 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.700 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.701 * [backup-simplify]: Simplify (+ 0 0) into 0 1.701 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 1.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 1.702 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.702 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.702 * [taylor]: Taking taylor expansion of y in y 1.702 * [backup-simplify]: Simplify 0 into 0 1.702 * [backup-simplify]: Simplify 1 into 1 1.702 * [backup-simplify]: Simplify (* 1 1) into 1 1.702 * [backup-simplify]: Simplify (/ 1 1) into 1 1.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.705 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.706 * [backup-simplify]: Simplify (- 0) into 0 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.706 * [backup-simplify]: Simplify (/ (+ x y) x) into (/ (+ x y) x) 1.706 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (x y) around 0 1.706 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 1.706 * [taylor]: Taking taylor expansion of (+ x y) in y 1.706 * [taylor]: Taking taylor expansion of x in y 1.706 * [backup-simplify]: Simplify x into x 1.706 * [taylor]: Taking taylor expansion of y in y 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify 1 into 1 1.706 * [taylor]: Taking taylor expansion of x in y 1.706 * [backup-simplify]: Simplify x into x 1.706 * [backup-simplify]: Simplify (+ x 0) into x 1.707 * [backup-simplify]: Simplify (/ x x) into 1 1.707 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 1.707 * [taylor]: Taking taylor expansion of (+ x y) in x 1.707 * [taylor]: Taking taylor expansion of x in x 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify 1 into 1 1.707 * [taylor]: Taking taylor expansion of y in x 1.707 * [backup-simplify]: Simplify y into y 1.707 * [taylor]: Taking taylor expansion of x in x 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify 1 into 1 1.707 * [backup-simplify]: Simplify (+ 0 y) into y 1.707 * [backup-simplify]: Simplify (/ y 1) into y 1.707 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 1.707 * [taylor]: Taking taylor expansion of (+ x y) in x 1.707 * [taylor]: Taking taylor expansion of x in x 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify 1 into 1 1.707 * [taylor]: Taking taylor expansion of y in x 1.707 * [backup-simplify]: Simplify y into y 1.707 * [taylor]: Taking taylor expansion of x in x 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify 1 into 1 1.707 * [backup-simplify]: Simplify (+ 0 y) into y 1.707 * [backup-simplify]: Simplify (/ y 1) into y 1.707 * [taylor]: Taking taylor expansion of y in y 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify 1 into 1 1.707 * [backup-simplify]: Simplify 0 into 0 1.708 * [backup-simplify]: Simplify (+ 1 0) into 1 1.709 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* y (/ 0 1)))) into 1 1.709 * [taylor]: Taking taylor expansion of 1 in y 1.709 * [backup-simplify]: Simplify 1 into 1 1.709 * [backup-simplify]: Simplify 1 into 1 1.709 * [backup-simplify]: Simplify 1 into 1 1.709 * [backup-simplify]: Simplify (+ 0 0) into 0 1.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.710 * [taylor]: Taking taylor expansion of 0 in y 1.710 * [backup-simplify]: Simplify 0 into 0 1.710 * [backup-simplify]: Simplify 0 into 0 1.710 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify (+ 0 0) into 0 1.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.713 * [taylor]: Taking taylor expansion of 0 in y 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify (+ (* 1 (* y (/ 1 x))) 1) into (+ (/ y x) 1) 1.714 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (/ 1 x)) into (* x (+ (/ 1 x) (/ 1 y))) 1.714 * [approximate]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in (x y) around 0 1.714 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in y 1.714 * [taylor]: Taking taylor expansion of x in y 1.714 * [backup-simplify]: Simplify x into x 1.714 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 1.714 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.714 * [taylor]: Taking taylor expansion of x in y 1.714 * [backup-simplify]: Simplify x into x 1.714 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.714 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.714 * [taylor]: Taking taylor expansion of y in y 1.714 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify 1 into 1 1.714 * [backup-simplify]: Simplify (/ 1 1) into 1 1.714 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 1.714 * [taylor]: Taking taylor expansion of x in x 1.714 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify 1 into 1 1.714 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.714 * [taylor]: Taking taylor expansion of x in x 1.714 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify 1 into 1 1.715 * [backup-simplify]: Simplify (/ 1 1) into 1 1.715 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.715 * [taylor]: Taking taylor expansion of y in x 1.715 * [backup-simplify]: Simplify y into y 1.715 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.715 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 1.715 * [taylor]: Taking taylor expansion of x in x 1.715 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify 1 into 1 1.715 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.715 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.715 * [taylor]: Taking taylor expansion of x in x 1.715 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify 1 into 1 1.716 * [backup-simplify]: Simplify (/ 1 1) into 1 1.716 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.716 * [taylor]: Taking taylor expansion of y in x 1.716 * [backup-simplify]: Simplify y into y 1.716 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.716 * [backup-simplify]: Simplify (+ 1 0) into 1 1.717 * [backup-simplify]: Simplify (* 0 1) into 0 1.717 * [taylor]: Taking taylor expansion of 0 in y 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.718 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.718 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 1.718 * [taylor]: Taking taylor expansion of 1 in y 1.718 * [backup-simplify]: Simplify 1 into 1 1.718 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.719 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.720 * [backup-simplify]: Simplify (+ 0 0) into 0 1.721 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 1.721 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.721 * [taylor]: Taking taylor expansion of y in y 1.721 * [backup-simplify]: Simplify 0 into 0 1.721 * [backup-simplify]: Simplify 1 into 1 1.721 * [backup-simplify]: Simplify (/ 1 1) into 1 1.721 * [backup-simplify]: Simplify 1 into 1 1.721 * [backup-simplify]: Simplify 1 into 1 1.721 * [backup-simplify]: Simplify 0 into 0 1.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.723 * [backup-simplify]: Simplify (+ 0 0) into 0 1.724 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 1.724 * [taylor]: Taking taylor expansion of 0 in y 1.724 * [backup-simplify]: Simplify 0 into 0 1.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.725 * [backup-simplify]: Simplify 0 into 0 1.725 * [backup-simplify]: Simplify 0 into 0 1.725 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.726 * [backup-simplify]: Simplify (+ 0 0) into 0 1.728 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 1.728 * [taylor]: Taking taylor expansion of 0 in y 1.728 * [backup-simplify]: Simplify 0 into 0 1.728 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.729 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify (+ 1 (* 1 (* (/ 1 (/ 1 y)) (/ 1 x)))) into (+ (/ y x) 1) 1.729 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) into (* x (+ (/ 1 x) (/ 1 y))) 1.729 * [approximate]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in (x y) around 0 1.729 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in y 1.729 * [taylor]: Taking taylor expansion of x in y 1.729 * [backup-simplify]: Simplify x into x 1.730 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 1.730 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.730 * [taylor]: Taking taylor expansion of x in y 1.730 * [backup-simplify]: Simplify x into x 1.730 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.730 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.730 * [taylor]: Taking taylor expansion of y in y 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify 1 into 1 1.730 * [backup-simplify]: Simplify (/ 1 1) into 1 1.730 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 1.730 * [taylor]: Taking taylor expansion of x in x 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify 1 into 1 1.730 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.730 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.730 * [taylor]: Taking taylor expansion of x in x 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify 1 into 1 1.731 * [backup-simplify]: Simplify (/ 1 1) into 1 1.731 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.731 * [taylor]: Taking taylor expansion of y in x 1.731 * [backup-simplify]: Simplify y into y 1.731 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.731 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 1.731 * [taylor]: Taking taylor expansion of x in x 1.731 * [backup-simplify]: Simplify 0 into 0 1.731 * [backup-simplify]: Simplify 1 into 1 1.731 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.731 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.731 * [taylor]: Taking taylor expansion of x in x 1.731 * [backup-simplify]: Simplify 0 into 0 1.731 * [backup-simplify]: Simplify 1 into 1 1.731 * [backup-simplify]: Simplify (/ 1 1) into 1 1.732 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.732 * [taylor]: Taking taylor expansion of y in x 1.732 * [backup-simplify]: Simplify y into y 1.732 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.732 * [backup-simplify]: Simplify (+ 1 0) into 1 1.732 * [backup-simplify]: Simplify (* 0 1) into 0 1.733 * [taylor]: Taking taylor expansion of 0 in y 1.733 * [backup-simplify]: Simplify 0 into 0 1.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.733 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.734 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 1.734 * [taylor]: Taking taylor expansion of 1 in y 1.734 * [backup-simplify]: Simplify 1 into 1 1.734 * [backup-simplify]: Simplify 0 into 0 1.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.735 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.735 * [backup-simplify]: Simplify (+ 0 0) into 0 1.736 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 1.736 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.736 * [taylor]: Taking taylor expansion of y in y 1.736 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify 1 into 1 1.736 * [backup-simplify]: Simplify (/ 1 1) into 1 1.736 * [backup-simplify]: Simplify 1 into 1 1.737 * [backup-simplify]: Simplify 1 into 1 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.738 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.738 * [backup-simplify]: Simplify (+ 0 0) into 0 1.739 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 1.739 * [taylor]: Taking taylor expansion of 0 in y 1.739 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.740 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify 0 into 0 1.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.741 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.741 * [backup-simplify]: Simplify (+ 0 0) into 0 1.743 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 1.743 * [taylor]: Taking taylor expansion of 0 in y 1.743 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify 0 into 0 1.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.744 * [backup-simplify]: Simplify 0 into 0 1.744 * [backup-simplify]: Simplify (+ 1 (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (- x))))) into (+ (/ y x) 1) 1.744 * * * [progress]: simplifying candidates 1.747 * [simplify]: Simplifying: (expm1 (/ 1 (/ (+ x y) x))) (log1p (/ 1 (/ (+ x y) x))) (- 1) (- (- (log (+ x y)) (log x))) (- (log (/ (+ x y) x))) (- 0 (- (log (+ x y)) (log x))) (- 0 (log (/ (+ x y) x))) (- (log 1) (- (log (+ x y)) (log x))) (- (log 1) (log (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (exp (/ 1 (/ (+ x y) x))) (/ (* (* 1 1) 1) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x))) (* (cbrt (/ 1 (/ (+ x y) x))) (cbrt (/ 1 (/ (+ x y) x)))) (cbrt (/ 1 (/ (+ x y) x))) (* (* (/ 1 (/ (+ x y) x)) (/ 1 (/ (+ x y) x))) (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (- 1) (- (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ (cbrt 1) (cbrt (/ (+ x y) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ x y) x))) (/ (cbrt 1) (sqrt (/ (+ x y) x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (cbrt (+ x y)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ (cbrt 1) (/ (cbrt (+ x y)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ (cbrt 1) (/ (cbrt (+ x y)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (sqrt (+ x y)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) (sqrt x))) (/ (cbrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) 1)) (/ (cbrt 1) (/ (sqrt (+ x y)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ x y) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ x y) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ x y) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ x y) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (+ x y)) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ (sqrt 1) (cbrt (/ (+ x y) x))) (/ (sqrt 1) (sqrt (/ (+ x y) x))) (/ (sqrt 1) (sqrt (/ (+ x y) x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (cbrt (+ x y)) (cbrt x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ (sqrt 1) (/ (cbrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ (sqrt 1) (/ (cbrt (+ x y)) x)) (/ (sqrt 1) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (sqrt (+ x y)) (cbrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) 1)) (/ (sqrt 1) (/ (sqrt (+ x y)) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ x y) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ x y) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ x y) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ x y) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) (+ x y)) (/ (sqrt 1) (/ 1 x)) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (cbrt (+ x y)) (cbrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ 1 (/ (cbrt (+ x y)) (sqrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ 1 (/ (cbrt (+ x y)) x)) (/ 1 (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ x y)) (cbrt x))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) 1)) (/ 1 (/ (sqrt (+ x y)) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ x y) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ x y) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ x y) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ x y) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ x y) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ x y) x)) (/ 1 1) (/ 1 (/ (+ x y) x)) (/ 1 (+ x y)) (/ 1 (/ 1 x)) (/ 1 (/ (+ x y) x)) (/ (/ (+ x y) x) 1) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ 1 (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (+ x y)) (/ (/ (+ x y) x) (cbrt 1)) (/ (/ (+ x y) x) (sqrt 1)) (/ (/ (+ x y) x) 1) (/ 1 (+ x y)) (expm1 (/ (+ x y) x)) (log1p (/ (+ x y) x)) (- (log (+ x y)) (log x)) (log (/ (+ x y) x)) (exp (/ (+ x y) x)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) 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 y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ x y)) (cbrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x)) (/ (cbrt (+ x y)) (sqrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) x) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ x y)) (cbrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) (/ 1 1) (/ (+ x y) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) (/ 1 1) (/ (+ x y) x) (/ 1 x) (/ x (+ x y)) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (/ (+ x y) 1) (/ x (cbrt (+ x y))) (/ x (sqrt (+ x y))) (/ x (+ x y)) (/ x (+ x y)) (* x (+ (* x x) (- (* y y) (* x y)))) (* x (- x y)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 1.750 * * [simplify]: iteration 0: 160 enodes 1.806 * * [simplify]: iteration 1: 399 enodes 1.937 * * [simplify]: iteration 2: 1170 enodes 2.811 * * [simplify]: iteration 3: 3922 enodes 3.906 * * [simplify]: iteration complete: 5014 enodes 3.906 * * [simplify]: Extracting #0: cost 66 inf + 0 3.907 * * [simplify]: Extracting #1: cost 508 inf + 45 3.912 * * [simplify]: Extracting #2: cost 1144 inf + 9031 3.937 * * [simplify]: Extracting #3: cost 519 inf + 103412 3.973 * * [simplify]: Extracting #4: cost 35 inf + 171984 4.019 * * [simplify]: Extracting #5: cost 0 inf + 178463 4.065 * [simplify]: Simplified to: (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) -1 (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))) (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) -1 (/ (- (- x) y) x) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (* (/ (cbrt x) (cbrt (+ x y))) (/ (cbrt x) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (* (/ 1 (cbrt (+ x y))) (/ 1 (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (* (/ (cbrt x) (cbrt (+ x y))) (/ (cbrt x) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (* (/ 1 (cbrt (+ x y))) (/ 1 (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (cbrt 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x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) 1 (/ (+ x y) x) (/ 1 x) (/ x (+ x y)) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (+ x y) (/ x (cbrt (+ x y))) (/ x (sqrt (+ x y))) (/ x (+ x y)) (/ x (+ x y)) (* x (fma y (- y x) (* x x))) (* (- x y) x) 0 0 0 (+ 1 (/ y x)) (+ 1 (/ y x)) (+ 1 (/ y x)) 4.070 * * * [progress]: adding candidates to table 4.423 * [progress]: [Phase 3 of 3] Extracting. 4.423 * * [regime]: Finding splitpoints for: (# #) 4.423 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ x y)) y x) 4.423 * * * * [regimes]: Trying to branch on (/ x (+ x y)) from (# #) 4.469 * * * * [regimes]: Trying to branch on y from (# #) 4.519 * * * * [regimes]: Trying to branch on x from (# #) 4.545 * * * [regime]: Found split indices: #