5.486 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying: (/ x (+ x y)) 0.013 * * [simplify]: Extracting # 0 : cost 0 0.013 * * [simplify]: Extracting # 1 : cost 0 0.013 * * [simplify]: Extracting # 2 : cost 0 0.013 * * [simplify]: Extracting # 3 : cost 0 0.013 * * [simplify]: Extracting # 4 : cost 0 0.013 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.013 * * [simplify]: Extracting # 0 : cost 0 0.013 * * [simplify]: iteration 1 : 5 enodes (cost 5 ) 0.014 * * [simplify]: Extracting # 0 : cost 0 0.014 * * [simplify]: iteration done: 5 enodes (cost 5 ) 0.014 * [simplify]: Simplified to: (/ x (+ x y)) 0.014 * * [progress]: iteration 1 / 4 0.014 * * * [progress]: picking best candidate 0.015 * * * * [pick]: Picked # 0.015 * * * [progress]: localizing error 0.019 * * * [progress]: generating rewritten candidates 0.019 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.032 * * * [progress]: generating series expansions 0.032 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.032 * [backup-simplify]: Simplify (/ x (+ x y)) into (/ x (+ x y)) 0.032 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.032 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.032 * [taylor]: Taking taylor expansion of x in y 0.032 * [backup-simplify]: Simplify x into x 0.032 * [taylor]: Taking taylor expansion of (+ x y) in y 0.032 * [taylor]: Taking taylor expansion of x in y 0.032 * [backup-simplify]: Simplify x into x 0.032 * [taylor]: Taking taylor expansion of y in y 0.032 * [backup-simplify]: Simplify 0 into 0 0.032 * [backup-simplify]: Simplify 1 into 1 0.032 * [backup-simplify]: Simplify (+ x 0) into x 0.032 * [backup-simplify]: Simplify (/ x x) into 1 0.032 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [backup-simplify]: Simplify 0 into 0 0.033 * [backup-simplify]: Simplify 1 into 1 0.033 * [taylor]: Taking taylor expansion of (+ x y) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [backup-simplify]: Simplify 0 into 0 0.033 * [backup-simplify]: Simplify 1 into 1 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [backup-simplify]: Simplify y into y 0.033 * [backup-simplify]: Simplify (+ 0 y) into y 0.033 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.033 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [backup-simplify]: Simplify 0 into 0 0.033 * [backup-simplify]: Simplify 1 into 1 0.033 * [taylor]: Taking taylor expansion of (+ x y) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [backup-simplify]: Simplify 0 into 0 0.033 * [backup-simplify]: Simplify 1 into 1 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [backup-simplify]: Simplify y into y 0.033 * [backup-simplify]: Simplify (+ 0 y) into y 0.033 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.033 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.033 * [backup-simplify]: Simplify 0 into 0 0.033 * [backup-simplify]: Simplify 1 into 1 0.033 * [backup-simplify]: Simplify (/ 1 1) into 1 0.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.034 * [backup-simplify]: Simplify 0 into 0 0.034 * [backup-simplify]: Simplify (+ 1 0) into 1 0.034 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.034 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.034 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.034 * [backup-simplify]: Simplify 0 into 0 0.034 * [backup-simplify]: Simplify 1 into 1 0.035 * [backup-simplify]: Simplify (* 1 1) into 1 0.035 * [backup-simplify]: Simplify (/ 1 1) into 1 0.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.037 * [backup-simplify]: Simplify (- 0) into 0 0.037 * [backup-simplify]: Simplify 0 into 0 0.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.038 * [backup-simplify]: Simplify 0 into 0 0.038 * [backup-simplify]: Simplify (+ 0 0) into 0 0.038 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.038 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [backup-simplify]: Simplify 0 into 0 0.038 * [backup-simplify]: Simplify 1 into 1 0.039 * [backup-simplify]: Simplify (* 1 1) into 1 0.039 * [backup-simplify]: Simplify (* 1 1) into 1 0.039 * [backup-simplify]: Simplify (/ 1 1) into 1 0.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.043 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.045 * [backup-simplify]: Simplify (- 0) into 0 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify (/ (/ 1 x) (+ (/ 1 x) (/ 1 y))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.046 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.046 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [backup-simplify]: Simplify x into x 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 1 into 1 0.046 * [backup-simplify]: Simplify (/ 1 1) into 1 0.046 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [backup-simplify]: Simplify x into x 0.046 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.046 * [backup-simplify]: Simplify (+ 1 0) into 1 0.046 * [backup-simplify]: Simplify (* x 1) into x 0.046 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.046 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.046 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 1 into 1 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [backup-simplify]: Simplify y into y 0.047 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [backup-simplify]: Simplify (/ 1 1) into 1 0.047 * [backup-simplify]: Simplify (+ 0 1) into 1 0.047 * [backup-simplify]: Simplify (* 0 1) into 0 0.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.048 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.048 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.048 * [backup-simplify]: Simplify (/ 1 1) into 1 0.048 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.048 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 1 into 1 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.049 * [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 0.049 * [backup-simplify]: Simplify (+ 0 1) into 1 0.049 * [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) 0.050 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.050 * [backup-simplify]: Simplify (/ 1 1) into 1 0.050 * [taylor]: Taking taylor expansion of 1 in y 0.050 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.051 * [backup-simplify]: Simplify (+ 0 0) into 0 0.052 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.052 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 1 into 1 0.052 * [backup-simplify]: Simplify (/ 1 1) into 1 0.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.053 * [backup-simplify]: Simplify (- 0) into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.054 * [backup-simplify]: Simplify (+ 0 0) into 0 0.055 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.055 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 1 into 1 0.056 * [backup-simplify]: Simplify (* 1 1) into 1 0.056 * [backup-simplify]: Simplify (/ 1 1) into 1 0.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 0.060 * [backup-simplify]: Simplify (- 0) into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.060 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.060 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.060 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [backup-simplify]: Simplify x into x 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify (/ 1 1) into 1 0.060 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [backup-simplify]: Simplify x into x 0.060 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.061 * [backup-simplify]: Simplify (+ 1 0) into 1 0.061 * [backup-simplify]: Simplify (* x 1) into x 0.061 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.061 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.061 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [backup-simplify]: Simplify y into y 0.061 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [backup-simplify]: Simplify (/ 1 1) into 1 0.070 * [backup-simplify]: Simplify (+ 0 1) into 1 0.070 * [backup-simplify]: Simplify (* 0 1) into 0 0.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.071 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.071 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.071 * [backup-simplify]: Simplify (/ 1 1) into 1 0.072 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.072 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [backup-simplify]: Simplify y into y 0.072 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.072 * [taylor]: Taking taylor expansion of x in x 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 (+ 0 1) into 1 0.072 * [backup-simplify]: Simplify (* 0 1) into 0 0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.073 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.073 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.073 * [backup-simplify]: Simplify (/ 1 1) into 1 0.074 * [taylor]: Taking taylor expansion of 1 in y 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.075 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify (/ 1 1) into 1 0.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (- 0) into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.079 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (* 1 1) into 1 0.079 * [backup-simplify]: Simplify (/ 1 1) into 1 0.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (- 0) into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * * * [progress]: simplifying candidates 0.083 * [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 0.084 * * [simplify]: Extracting # 0 : cost 0 0.084 * * [simplify]: Extracting # 1 : cost 0 0.084 * * [simplify]: Extracting # 2 : cost 0 0.084 * * [simplify]: Extracting # 3 : cost 0 0.084 * * [simplify]: Extracting # 4 : cost 0 0.084 * * [simplify]: Extracting # 5 : cost 0 0.085 * * [simplify]: Extracting # 6 : cost 0 0.085 * * [simplify]: Extracting # 7 : cost 0 0.085 * * [simplify]: iteration 0 : 61 enodes (cost 336 ) 0.098 * * [simplify]: Extracting # 0 : cost 0 0.099 * * [simplify]: Extracting # 1 : cost 0 0.099 * * [simplify]: Extracting # 2 : cost 0 0.099 * * [simplify]: Extracting # 3 : cost 0 0.099 * * [simplify]: iteration 1 : 122 enodes (cost 317 ) 0.126 * * [simplify]: Extracting # 0 : cost 0 0.126 * * [simplify]: Extracting # 1 : cost 0 0.127 * * [simplify]: Extracting # 2 : cost 0 0.127 * * [simplify]: Extracting # 3 : cost 0 0.127 * * [simplify]: Extracting # 4 : cost 0 0.127 * * [simplify]: iteration 2 : 286 enodes (cost 299 ) 0.231 * * [simplify]: Extracting # 0 : cost 0 0.232 * * [simplify]: Extracting # 1 : cost 0 0.233 * * [simplify]: Extracting # 2 : cost 0 0.234 * * [simplify]: Extracting # 3 : cost 0 0.235 * * [simplify]: iteration 3 : 587 enodes (cost 299 ) 0.583 * * [simplify]: Extracting # 0 : cost 0 0.584 * * [simplify]: Extracting # 1 : cost 0 0.586 * * [simplify]: Extracting # 2 : cost 0 0.587 * * [simplify]: Extracting # 3 : cost 0 0.589 * * [simplify]: Extracting # 4 : cost 0 0.590 * * [simplify]: iteration 4 : 1573 enodes (cost 299 ) 3.977 * * [simplify]: Extracting # 0 : cost 0 3.992 * * [simplify]: Extracting # 1 : cost 0 4.006 * * [simplify]: Extracting # 2 : cost 0 4.012 * * [simplify]: Extracting # 3 : cost 0 4.017 * * [simplify]: Extracting # 4 : cost 0 4.022 * * [simplify]: iteration done: 5000 enodes (cost 299 ) 4.022 * [simplify]: Simplified to: (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (pow (/ x (+ x y)) 3) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (pow (/ x (+ x y)) 3) (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)) (/ (cbrt x) (+ x y)) (* (cbrt x) (cbrt x)) (/ (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) (/ (sqrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ (+ 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 4.022 * * * [progress]: adding candidates to table 4.092 * * [progress]: iteration 2 / 4 4.092 * * * [progress]: picking best candidate 4.096 * * * * [pick]: Picked # 4.096 * * * [progress]: localizing error 4.101 * * * [progress]: generating rewritten candidates 4.101 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.141 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 4.164 * * * [progress]: generating series expansions 4.164 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.164 * [backup-simplify]: Simplify (* x (/ 1 (+ x y))) into (/ x (+ x y)) 4.164 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 4.164 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 4.164 * [taylor]: Taking taylor expansion of x in y 4.164 * [backup-simplify]: Simplify x into x 4.164 * [taylor]: Taking taylor expansion of (+ x y) in y 4.164 * [taylor]: Taking taylor expansion of x in y 4.164 * [backup-simplify]: Simplify x into x 4.164 * [taylor]: Taking taylor expansion of y in y 4.164 * [backup-simplify]: Simplify 0 into 0 4.164 * [backup-simplify]: Simplify 1 into 1 4.164 * [backup-simplify]: Simplify (+ x 0) into x 4.164 * [backup-simplify]: Simplify (/ x x) into 1 4.164 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 4.164 * [taylor]: Taking taylor expansion of x in x 4.164 * [backup-simplify]: Simplify 0 into 0 4.164 * [backup-simplify]: Simplify 1 into 1 4.164 * [taylor]: Taking taylor expansion of (+ x y) in x 4.164 * [taylor]: Taking taylor expansion of x in x 4.164 * [backup-simplify]: Simplify 0 into 0 4.164 * [backup-simplify]: Simplify 1 into 1 4.164 * [taylor]: Taking taylor expansion of y in x 4.164 * [backup-simplify]: Simplify y into y 4.164 * [backup-simplify]: Simplify (+ 0 y) into y 4.165 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.165 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 4.165 * [taylor]: Taking taylor expansion of x in x 4.165 * [backup-simplify]: Simplify 0 into 0 4.165 * [backup-simplify]: Simplify 1 into 1 4.165 * [taylor]: Taking taylor expansion of (+ x y) in x 4.165 * [taylor]: Taking taylor expansion of x in x 4.165 * [backup-simplify]: Simplify 0 into 0 4.165 * [backup-simplify]: Simplify 1 into 1 4.165 * [taylor]: Taking taylor expansion of y in x 4.165 * [backup-simplify]: Simplify y into y 4.165 * [backup-simplify]: Simplify (+ 0 y) into y 4.165 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.165 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.165 * [taylor]: Taking taylor expansion of y in y 4.165 * [backup-simplify]: Simplify 0 into 0 4.165 * [backup-simplify]: Simplify 1 into 1 4.165 * [backup-simplify]: Simplify (/ 1 1) into 1 4.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.166 * [backup-simplify]: Simplify 0 into 0 4.166 * [backup-simplify]: Simplify (+ 1 0) into 1 4.166 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 4.166 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 4.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.166 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.166 * [taylor]: Taking taylor expansion of y in y 4.166 * [backup-simplify]: Simplify 0 into 0 4.166 * [backup-simplify]: Simplify 1 into 1 4.167 * [backup-simplify]: Simplify (* 1 1) into 1 4.167 * [backup-simplify]: Simplify (/ 1 1) into 1 4.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.169 * [backup-simplify]: Simplify (- 0) into 0 4.169 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.169 * [backup-simplify]: Simplify 0 into 0 4.170 * [backup-simplify]: Simplify (+ 0 0) into 0 4.170 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 4.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 4.170 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.170 * [taylor]: Taking taylor expansion of y in y 4.170 * [backup-simplify]: Simplify 0 into 0 4.170 * [backup-simplify]: Simplify 1 into 1 4.170 * [backup-simplify]: Simplify (* 1 1) into 1 4.171 * [backup-simplify]: Simplify (* 1 1) into 1 4.171 * [backup-simplify]: Simplify (/ 1 1) into 1 4.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.175 * [backup-simplify]: Simplify 0 into 0 4.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.176 * [backup-simplify]: Simplify (- 0) into 0 4.176 * [backup-simplify]: Simplify 0 into 0 4.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.177 * [backup-simplify]: Simplify 0 into 0 4.177 * [backup-simplify]: Simplify 0 into 0 4.177 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 (+ (/ 1 x) (/ 1 y)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 4.177 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 4.177 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 4.177 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 4.177 * [taylor]: Taking taylor expansion of x in y 4.177 * [backup-simplify]: Simplify x into x 4.177 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.177 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.177 * [taylor]: Taking taylor expansion of y in y 4.177 * [backup-simplify]: Simplify 0 into 0 4.177 * [backup-simplify]: Simplify 1 into 1 4.178 * [backup-simplify]: Simplify (/ 1 1) into 1 4.178 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.178 * [taylor]: Taking taylor expansion of x in y 4.178 * [backup-simplify]: Simplify x into x 4.178 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.178 * [backup-simplify]: Simplify (+ 1 0) into 1 4.178 * [backup-simplify]: Simplify (* x 1) into x 4.178 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.178 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.178 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.178 * [taylor]: Taking taylor expansion of x in x 4.178 * [backup-simplify]: Simplify 0 into 0 4.178 * [backup-simplify]: Simplify 1 into 1 4.178 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.178 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.178 * [taylor]: Taking taylor expansion of y in x 4.178 * [backup-simplify]: Simplify y into y 4.178 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.178 * [taylor]: Taking taylor expansion of x in x 4.178 * [backup-simplify]: Simplify 0 into 0 4.178 * [backup-simplify]: Simplify 1 into 1 4.179 * [backup-simplify]: Simplify (/ 1 1) into 1 4.179 * [backup-simplify]: Simplify (+ 0 1) into 1 4.179 * [backup-simplify]: Simplify (* 0 1) into 0 4.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.180 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.180 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 4.180 * [backup-simplify]: Simplify (/ 1 1) into 1 4.180 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.180 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.180 * [taylor]: Taking taylor expansion of x in x 4.180 * [backup-simplify]: Simplify 0 into 0 4.180 * [backup-simplify]: Simplify 1 into 1 4.180 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.180 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.180 * [taylor]: Taking taylor expansion of y in x 4.180 * [backup-simplify]: Simplify y into y 4.180 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.180 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.180 * [taylor]: Taking taylor expansion of x in x 4.180 * [backup-simplify]: Simplify 0 into 0 4.180 * [backup-simplify]: Simplify 1 into 1 4.181 * [backup-simplify]: Simplify (/ 1 1) into 1 4.181 * [backup-simplify]: Simplify (+ 0 1) into 1 4.181 * [backup-simplify]: Simplify (* 0 1) into 0 4.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.182 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.182 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 4.182 * [backup-simplify]: Simplify (/ 1 1) into 1 4.182 * [taylor]: Taking taylor expansion of 1 in y 4.182 * [backup-simplify]: Simplify 1 into 1 4.182 * [backup-simplify]: Simplify 0 into 0 4.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.183 * [backup-simplify]: Simplify (+ 0 0) into 0 4.184 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 4.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 4.184 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 4.184 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.184 * [taylor]: Taking taylor expansion of y in y 4.184 * [backup-simplify]: Simplify 0 into 0 4.184 * [backup-simplify]: Simplify 1 into 1 4.184 * [backup-simplify]: Simplify (/ 1 1) into 1 4.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.185 * [backup-simplify]: Simplify (- 0) into 0 4.185 * [backup-simplify]: Simplify 0 into 0 4.185 * [backup-simplify]: Simplify 0 into 0 4.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.187 * [backup-simplify]: Simplify (+ 0 0) into 0 4.188 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 4.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 4.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.189 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.189 * [taylor]: Taking taylor expansion of y in y 4.189 * [backup-simplify]: Simplify 0 into 0 4.189 * [backup-simplify]: Simplify 1 into 1 4.189 * [backup-simplify]: Simplify (* 1 1) into 1 4.190 * [backup-simplify]: Simplify (/ 1 1) into 1 4.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.194 * [backup-simplify]: Simplify 0 into 0 4.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.195 * [backup-simplify]: Simplify (- 0) into 0 4.195 * [backup-simplify]: Simplify 0 into 0 4.195 * [backup-simplify]: Simplify 0 into 0 4.195 * [backup-simplify]: Simplify 0 into 0 4.195 * [backup-simplify]: Simplify (* (/ 1 (- x)) (/ 1 (+ (/ 1 (- x)) (/ 1 (- y))))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 4.195 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 4.195 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 4.195 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 4.195 * [taylor]: Taking taylor expansion of x in y 4.195 * [backup-simplify]: Simplify x into x 4.195 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.195 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.195 * [taylor]: Taking taylor expansion of y in y 4.195 * [backup-simplify]: Simplify 0 into 0 4.195 * [backup-simplify]: Simplify 1 into 1 4.195 * [backup-simplify]: Simplify (/ 1 1) into 1 4.195 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.195 * [taylor]: Taking taylor expansion of x in y 4.195 * [backup-simplify]: Simplify x into x 4.195 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.196 * [backup-simplify]: Simplify (+ 1 0) into 1 4.196 * [backup-simplify]: Simplify (* x 1) into x 4.196 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.196 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.196 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.196 * [taylor]: Taking taylor expansion of x in x 4.196 * [backup-simplify]: Simplify 0 into 0 4.196 * [backup-simplify]: Simplify 1 into 1 4.196 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.196 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.196 * [taylor]: Taking taylor expansion of y in x 4.196 * [backup-simplify]: Simplify y into y 4.196 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.196 * [taylor]: Taking taylor expansion of x in x 4.196 * [backup-simplify]: Simplify 0 into 0 4.196 * [backup-simplify]: Simplify 1 into 1 4.196 * [backup-simplify]: Simplify (/ 1 1) into 1 4.197 * [backup-simplify]: Simplify (+ 0 1) into 1 4.197 * [backup-simplify]: Simplify (* 0 1) into 0 4.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.197 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.198 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 4.198 * [backup-simplify]: Simplify (/ 1 1) into 1 4.198 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.198 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.198 * [taylor]: Taking taylor expansion of x in x 4.198 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify 1 into 1 4.198 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.198 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.198 * [taylor]: Taking taylor expansion of y in x 4.198 * [backup-simplify]: Simplify y into y 4.198 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.198 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.198 * [taylor]: Taking taylor expansion of x in x 4.198 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify 1 into 1 4.198 * [backup-simplify]: Simplify (/ 1 1) into 1 4.198 * [backup-simplify]: Simplify (+ 0 1) into 1 4.199 * [backup-simplify]: Simplify (* 0 1) into 0 4.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.199 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.199 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 4.200 * [backup-simplify]: Simplify (/ 1 1) into 1 4.200 * [taylor]: Taking taylor expansion of 1 in y 4.200 * [backup-simplify]: Simplify 1 into 1 4.200 * [backup-simplify]: Simplify 0 into 0 4.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.201 * [backup-simplify]: Simplify (+ 0 0) into 0 4.201 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 4.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 4.202 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 4.202 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.202 * [taylor]: Taking taylor expansion of y in y 4.202 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify 1 into 1 4.202 * [backup-simplify]: Simplify (/ 1 1) into 1 4.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.203 * [backup-simplify]: Simplify (- 0) into 0 4.203 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.204 * [backup-simplify]: Simplify (+ 0 0) into 0 4.205 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 4.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 4.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.205 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.205 * [taylor]: Taking taylor expansion of y in y 4.205 * [backup-simplify]: Simplify 0 into 0 4.205 * [backup-simplify]: Simplify 1 into 1 4.205 * [backup-simplify]: Simplify (* 1 1) into 1 4.206 * [backup-simplify]: Simplify (/ 1 1) into 1 4.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.209 * [backup-simplify]: Simplify 0 into 0 4.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.210 * [backup-simplify]: Simplify (- 0) into 0 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 4.210 * [backup-simplify]: Simplify (/ 1 (+ x y)) into (/ 1 (+ x y)) 4.210 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (x y) around 0 4.210 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 4.210 * [taylor]: Taking taylor expansion of (+ x y) in y 4.210 * [taylor]: Taking taylor expansion of x in y 4.210 * [backup-simplify]: Simplify x into x 4.210 * [taylor]: Taking taylor expansion of y in y 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify 1 into 1 4.210 * [backup-simplify]: Simplify (+ x 0) into x 4.210 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.210 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 4.210 * [taylor]: Taking taylor expansion of (+ x y) in x 4.210 * [taylor]: Taking taylor expansion of x in x 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify 1 into 1 4.210 * [taylor]: Taking taylor expansion of y in x 4.210 * [backup-simplify]: Simplify y into y 4.210 * [backup-simplify]: Simplify (+ 0 y) into y 4.210 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.210 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 4.210 * [taylor]: Taking taylor expansion of (+ x y) in x 4.210 * [taylor]: Taking taylor expansion of x in x 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify 1 into 1 4.210 * [taylor]: Taking taylor expansion of y in x 4.210 * [backup-simplify]: Simplify y into y 4.210 * [backup-simplify]: Simplify (+ 0 y) into y 4.210 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.211 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.211 * [taylor]: Taking taylor expansion of y in y 4.211 * [backup-simplify]: Simplify 0 into 0 4.211 * [backup-simplify]: Simplify 1 into 1 4.211 * [backup-simplify]: Simplify (/ 1 1) into 1 4.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.211 * [backup-simplify]: Simplify 0 into 0 4.212 * [backup-simplify]: Simplify (+ 1 0) into 1 4.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 4.212 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 4.212 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.212 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.212 * [taylor]: Taking taylor expansion of y in y 4.212 * [backup-simplify]: Simplify 0 into 0 4.212 * [backup-simplify]: Simplify 1 into 1 4.212 * [backup-simplify]: Simplify (* 1 1) into 1 4.212 * [backup-simplify]: Simplify (/ 1 1) into 1 4.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.214 * [backup-simplify]: Simplify (- 0) into 0 4.214 * [backup-simplify]: Simplify 0 into 0 4.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.215 * [backup-simplify]: Simplify 0 into 0 4.215 * [backup-simplify]: Simplify (+ 0 0) into 0 4.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 4.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 4.215 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.215 * [taylor]: Taking taylor expansion of y in y 4.215 * [backup-simplify]: Simplify 0 into 0 4.216 * [backup-simplify]: Simplify 1 into 1 4.216 * [backup-simplify]: Simplify (* 1 1) into 1 4.216 * [backup-simplify]: Simplify (* 1 1) into 1 4.216 * [backup-simplify]: Simplify (/ 1 1) into 1 4.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.226 * [backup-simplify]: Simplify 0 into 0 4.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.228 * [backup-simplify]: Simplify (- 0) into 0 4.228 * [backup-simplify]: Simplify 0 into 0 4.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.229 * [backup-simplify]: Simplify 0 into 0 4.229 * [backup-simplify]: Simplify 0 into 0 4.230 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 x) (/ 1 y))) into (/ 1 (+ (/ 1 y) (/ 1 x))) 4.230 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 4.230 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 4.230 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.230 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.230 * [taylor]: Taking taylor expansion of y in y 4.230 * [backup-simplify]: Simplify 0 into 0 4.230 * [backup-simplify]: Simplify 1 into 1 4.230 * [backup-simplify]: Simplify (/ 1 1) into 1 4.230 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.230 * [taylor]: Taking taylor expansion of x in y 4.230 * [backup-simplify]: Simplify x into x 4.230 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.231 * [backup-simplify]: Simplify (+ 1 0) into 1 4.231 * [backup-simplify]: Simplify (/ 1 1) into 1 4.231 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 4.231 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.231 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.231 * [taylor]: Taking taylor expansion of y in x 4.231 * [backup-simplify]: Simplify y into y 4.231 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.231 * [taylor]: Taking taylor expansion of x in x 4.231 * [backup-simplify]: Simplify 0 into 0 4.232 * [backup-simplify]: Simplify 1 into 1 4.232 * [backup-simplify]: Simplify (/ 1 1) into 1 4.232 * [backup-simplify]: Simplify (+ 0 1) into 1 4.233 * [backup-simplify]: Simplify (/ 1 1) into 1 4.233 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 4.233 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.233 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.233 * [taylor]: Taking taylor expansion of y in x 4.233 * [backup-simplify]: Simplify y into y 4.233 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.233 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.233 * [taylor]: Taking taylor expansion of x in x 4.233 * [backup-simplify]: Simplify 0 into 0 4.233 * [backup-simplify]: Simplify 1 into 1 4.233 * [backup-simplify]: Simplify (/ 1 1) into 1 4.234 * [backup-simplify]: Simplify (+ 0 1) into 1 4.234 * [backup-simplify]: Simplify (/ 1 1) into 1 4.234 * [taylor]: Taking taylor expansion of 1 in y 4.234 * [backup-simplify]: Simplify 1 into 1 4.234 * [backup-simplify]: Simplify 0 into 0 4.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.235 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 4.235 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 4.235 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.235 * [taylor]: Taking taylor expansion of y in y 4.235 * [backup-simplify]: Simplify 0 into 0 4.235 * [backup-simplify]: Simplify 1 into 1 4.236 * [backup-simplify]: Simplify (/ 1 1) into 1 4.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.238 * [backup-simplify]: Simplify (- 0) into 0 4.238 * [backup-simplify]: Simplify 0 into 0 4.238 * [backup-simplify]: Simplify 0 into 0 4.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.239 * [backup-simplify]: Simplify (+ 0 0) into 0 4.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 4.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.240 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.240 * [taylor]: Taking taylor expansion of y in y 4.240 * [backup-simplify]: Simplify 0 into 0 4.240 * [backup-simplify]: Simplify 1 into 1 4.241 * [backup-simplify]: Simplify (* 1 1) into 1 4.241 * [backup-simplify]: Simplify (/ 1 1) into 1 4.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.246 * [backup-simplify]: Simplify 0 into 0 4.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.247 * [backup-simplify]: Simplify (- 0) into 0 4.247 * [backup-simplify]: Simplify 0 into 0 4.247 * [backup-simplify]: Simplify 0 into 0 4.247 * [backup-simplify]: Simplify 0 into 0 4.248 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ -1 (+ (/ 1 y) (/ 1 x))) 4.248 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 4.248 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 4.248 * [taylor]: Taking taylor expansion of -1 in y 4.248 * [backup-simplify]: Simplify -1 into -1 4.248 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.248 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.248 * [taylor]: Taking taylor expansion of y in y 4.248 * [backup-simplify]: Simplify 0 into 0 4.248 * [backup-simplify]: Simplify 1 into 1 4.248 * [backup-simplify]: Simplify (/ 1 1) into 1 4.248 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.248 * [taylor]: Taking taylor expansion of x in y 4.248 * [backup-simplify]: Simplify x into x 4.248 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.249 * [backup-simplify]: Simplify (+ 1 0) into 1 4.249 * [backup-simplify]: Simplify (/ -1 1) into -1 4.249 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 4.249 * [taylor]: Taking taylor expansion of -1 in x 4.249 * [backup-simplify]: Simplify -1 into -1 4.249 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.249 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.249 * [taylor]: Taking taylor expansion of y in x 4.249 * [backup-simplify]: Simplify y into y 4.249 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.250 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.250 * [taylor]: Taking taylor expansion of x in x 4.250 * [backup-simplify]: Simplify 0 into 0 4.250 * [backup-simplify]: Simplify 1 into 1 4.250 * [backup-simplify]: Simplify (/ 1 1) into 1 4.250 * [backup-simplify]: Simplify (+ 0 1) into 1 4.251 * [backup-simplify]: Simplify (/ -1 1) into -1 4.251 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 4.251 * [taylor]: Taking taylor expansion of -1 in x 4.251 * [backup-simplify]: Simplify -1 into -1 4.251 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.251 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.251 * [taylor]: Taking taylor expansion of y in x 4.251 * [backup-simplify]: Simplify y into y 4.251 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.251 * [taylor]: Taking taylor expansion of x in x 4.251 * [backup-simplify]: Simplify 0 into 0 4.251 * [backup-simplify]: Simplify 1 into 1 4.252 * [backup-simplify]: Simplify (/ 1 1) into 1 4.252 * [backup-simplify]: Simplify (+ 0 1) into 1 4.253 * [backup-simplify]: Simplify (/ -1 1) into -1 4.253 * [taylor]: Taking taylor expansion of -1 in y 4.253 * [backup-simplify]: Simplify -1 into -1 4.253 * [backup-simplify]: Simplify 0 into 0 4.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.254 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (/ 1 y) 1)))) into (/ 1 y) 4.254 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.254 * [taylor]: Taking taylor expansion of y in y 4.254 * [backup-simplify]: Simplify 0 into 0 4.254 * [backup-simplify]: Simplify 1 into 1 4.254 * [backup-simplify]: Simplify (/ 1 1) into 1 4.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.255 * [backup-simplify]: Simplify 0 into 0 4.255 * [backup-simplify]: Simplify 0 into 0 4.255 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.256 * [backup-simplify]: Simplify (+ 0 0) into 0 4.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (/ 1 y) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 2))) 4.257 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 4.257 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.257 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.257 * [taylor]: Taking taylor expansion of y in y 4.257 * [backup-simplify]: Simplify 0 into 0 4.257 * [backup-simplify]: Simplify 1 into 1 4.257 * [backup-simplify]: Simplify (* 1 1) into 1 4.257 * [backup-simplify]: Simplify (/ 1 1) into 1 4.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.261 * [backup-simplify]: Simplify (- 0) into 0 4.261 * [backup-simplify]: Simplify 0 into 0 4.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.261 * [backup-simplify]: Simplify 0 into 0 4.261 * [backup-simplify]: Simplify 0 into 0 4.261 * [backup-simplify]: Simplify 0 into 0 4.261 * * * [progress]: simplifying candidates 4.262 * [simplify]: Simplifying: (expm1 (* x (/ 1 (+ x y)))) (log1p (* x (/ 1 (+ x y)))) (* x (/ 1 (+ x y))) (+ (log x) (- (log (+ x y)))) (+ (log x) (- 0 (log (+ x y)))) (+ (log x) (- (log 1) (log (+ x y)))) (+ (log x) (log (/ 1 (+ x y)))) (log (* x (/ 1 (+ x y)))) (exp (* x (/ 1 (+ x y)))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (+ x y) (+ x y)) (+ x y)))) (* (* (* x x) x) (* (* (/ 1 (+ x y)) (/ 1 (+ x y))) (/ 1 (+ x y)))) (* (cbrt (* x (/ 1 (+ x y)))) (cbrt (* x (/ 1 (+ x y))))) (cbrt (* x (/ 1 (+ x y)))) (* (* (* x (/ 1 (+ x y))) (* x (/ 1 (+ x y)))) (* x (/ 1 (+ x y)))) (sqrt (* x (/ 1 (+ x y)))) (sqrt (* x (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ x y)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ x y)))) (* (sqrt x) (/ 1 (sqrt (+ x y)))) (* (sqrt x) (/ 1 (sqrt (+ x y)))) (* x (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y))))) (* x (sqrt (/ 1 (+ x y)))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ x y)))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (sqrt 1) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* x (/ (sqrt 1) (sqrt (+ x y)))) (* x (/ (sqrt 1) 1)) (* x (/ (sqrt 1) 1)) (* x (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y))))) (* x (/ 1 (sqrt (+ x y)))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x 1) (* x (/ 1 (+ (pow x 3) (pow y 3)))) (* x (/ 1 (- (* x x) (* y y)))) (* (cbrt x) (/ 1 (+ x y))) (* (sqrt x) (/ 1 (+ x y))) (* x (/ 1 (+ x y))) (* x 1) (expm1 (/ 1 (+ x y))) (log1p (/ 1 (+ x y))) (- 1) (- (log (+ x y))) (- 0 (log (+ x y))) (- (log 1) (log (+ x y))) (log (/ 1 (+ x y))) (exp (/ 1 (+ x y))) (/ (* (* 1 1) 1) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y)))) (cbrt (/ 1 (+ x y))) (* (* (/ 1 (+ x y)) (/ 1 (+ x y))) (/ 1 (+ x y))) (sqrt (/ 1 (+ x y))) (sqrt (/ 1 (+ x y))) (- 1) (- (+ x y)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt 1) (cbrt (+ x y))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ x y))) (/ (cbrt 1) (sqrt (+ x y))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ x y)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ x y)) (/ (sqrt 1) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt 1) (cbrt (+ x y))) (/ (sqrt 1) (sqrt (+ x y))) (/ (sqrt 1) (sqrt (+ x y))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ x y)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 1) (/ 1 (+ x y)) (/ 1 1) (/ 1 (+ x y)) (/ 1 (+ x y)) (/ (+ x y) 1) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (sqrt (+ x y))) (/ 1 1) (/ 1 1) (/ (+ x y) (cbrt 1)) (/ (+ x y) (sqrt 1)) (/ (+ x y) 1) (/ 1 (+ (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) 0 0 0 0 0 0 4.264 * * [simplify]: Extracting # 0 : cost 0 4.264 * * [simplify]: Extracting # 1 : cost 0 4.264 * * [simplify]: Extracting # 2 : cost 0 4.264 * * [simplify]: Extracting # 3 : cost 0 4.264 * * [simplify]: Extracting # 4 : cost 0 4.264 * * [simplify]: Extracting # 5 : cost 0 4.264 * * [simplify]: Extracting # 6 : cost 0 4.264 * * [simplify]: iteration 0 : 99 enodes (cost 783 ) 4.311 * * [simplify]: Extracting # 0 : cost 0 4.312 * * [simplify]: Extracting # 1 : cost 0 4.312 * * [simplify]: Extracting # 2 : cost 0 4.312 * * [simplify]: Extracting # 3 : cost 0 4.313 * * [simplify]: iteration 1 : 225 enodes (cost 603 ) 4.385 * * [simplify]: Extracting # 0 : cost 0 4.386 * * [simplify]: Extracting # 1 : cost 0 4.387 * * [simplify]: Extracting # 2 : cost 0 4.388 * * [simplify]: Extracting # 3 : cost 0 4.388 * * [simplify]: Extracting # 4 : cost 0 4.389 * * [simplify]: Extracting # 5 : cost 0 4.390 * * [simplify]: Extracting # 6 : cost 0 4.390 * * [simplify]: iteration 2 : 464 enodes (cost 541 ) 4.633 * * [simplify]: Extracting # 0 : cost 0 4.634 * * [simplify]: Extracting # 1 : cost 0 4.635 * * [simplify]: Extracting # 2 : cost 0 4.636 * * [simplify]: Extracting # 3 : cost 0 4.636 * * [simplify]: Extracting # 4 : cost 0 4.637 * * [simplify]: iteration 3 : 952 enodes (cost 541 ) 5.527 * * [simplify]: Extracting # 0 : cost 0 5.529 * * [simplify]: Extracting # 1 : cost 0 5.531 * * [simplify]: Extracting # 2 : cost 0 5.532 * * [simplify]: Extracting # 3 : cost 0 5.534 * * [simplify]: Extracting # 4 : cost 0 5.536 * * [simplify]: Extracting # 5 : cost 0 5.538 * * [simplify]: iteration 4 : 2095 enodes (cost 541 ) 7.687 * * [simplify]: Extracting # 0 : cost 0 7.693 * * [simplify]: Extracting # 1 : cost 0 7.699 * * [simplify]: Extracting # 2 : cost 0 7.706 * * [simplify]: Extracting # 3 : cost 0 7.716 * * [simplify]: Extracting # 4 : cost 0 7.732 * * [simplify]: iteration done: 5000 enodes (cost 541 ) 7.732 * [simplify]: Simplified to: (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (/ x (+ y x)) (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (pow (/ x (+ y x)) 3) (pow (/ x (+ y x)) 3) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (pow (/ x (+ y x)) 3) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (* x (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y))))) (* x (sqrt (/ 1 (+ x y)))) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x x x (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) (/ (cbrt x) (+ y x)) (/ (sqrt x) (+ y x)) (/ x (+ y x)) x (expm1 (/ 1 (+ x y))) (log1p (/ 1 (+ x y))) -1 (- (log (+ x y))) (- (log (+ x y))) (- (log (+ x y))) (- (log (+ x y))) (exp (/ 1 (+ x y))) (pow (/ 1 (+ y x)) 3) (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y)))) (cbrt (/ 1 (+ x y))) (pow (/ 1 (+ y x)) 3) (sqrt (/ 1 (+ x y))) (sqrt (/ 1 (+ x y))) -1 (- (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) 1 (/ 1 (+ y x)) 1 (/ 1 (+ y x)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) 1 (/ 1 (+ y x)) 1 (/ 1 (+ y x)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) 1 (/ 1 (+ y x)) 1 (/ 1 (+ y x)) (/ 1 (+ y x)) (+ y x) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (sqrt (+ x y))) 1 1 (+ y x) (+ y x) (+ y x) (/ 1 (+ (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) 0 0 0 0 0 0 7.733 * * * [progress]: adding candidates to table 7.887 * * [progress]: iteration 3 / 4 7.887 * * * [progress]: picking best candidate 7.889 * * * * [pick]: Picked # 7.889 * * * [progress]: localizing error 7.895 * * * [progress]: generating rewritten candidates 7.895 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 7.915 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 7.970 * * * [progress]: generating series expansions 7.971 * * * * [progress]: [ 1 / 2 ] generating series at (2) 7.971 * [backup-simplify]: Simplify (/ 1 (/ (+ x y) x)) into (/ x (+ x y)) 7.971 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 7.971 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 7.971 * [taylor]: Taking taylor expansion of x in y 7.971 * [backup-simplify]: Simplify x into x 7.971 * [taylor]: Taking taylor expansion of (+ x y) in y 7.971 * [taylor]: Taking taylor expansion of x in y 7.971 * [backup-simplify]: Simplify x into x 7.971 * [taylor]: Taking taylor expansion of y in y 7.971 * [backup-simplify]: Simplify 0 into 0 7.971 * [backup-simplify]: Simplify 1 into 1 7.971 * [backup-simplify]: Simplify (+ x 0) into x 7.971 * [backup-simplify]: Simplify (/ x x) into 1 7.971 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 7.971 * [taylor]: Taking taylor expansion of x in x 7.971 * [backup-simplify]: Simplify 0 into 0 7.971 * [backup-simplify]: Simplify 1 into 1 7.971 * [taylor]: Taking taylor expansion of (+ x y) in x 7.971 * [taylor]: Taking taylor expansion of x in x 7.971 * [backup-simplify]: Simplify 0 into 0 7.971 * [backup-simplify]: Simplify 1 into 1 7.971 * [taylor]: Taking taylor expansion of y in x 7.972 * [backup-simplify]: Simplify y into y 7.972 * [backup-simplify]: Simplify (+ 0 y) into y 7.972 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.972 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 7.972 * [taylor]: Taking taylor expansion of x in x 7.972 * [backup-simplify]: Simplify 0 into 0 7.972 * [backup-simplify]: Simplify 1 into 1 7.972 * [taylor]: Taking taylor expansion of (+ x y) in x 7.972 * [taylor]: Taking taylor expansion of x in x 7.972 * [backup-simplify]: Simplify 0 into 0 7.972 * [backup-simplify]: Simplify 1 into 1 7.972 * [taylor]: Taking taylor expansion of y in x 7.972 * [backup-simplify]: Simplify y into y 7.972 * [backup-simplify]: Simplify (+ 0 y) into y 7.972 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.972 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.972 * [taylor]: Taking taylor expansion of y in y 7.972 * [backup-simplify]: Simplify 0 into 0 7.972 * [backup-simplify]: Simplify 1 into 1 7.973 * [backup-simplify]: Simplify (/ 1 1) into 1 7.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.974 * [backup-simplify]: Simplify 0 into 0 7.974 * [backup-simplify]: Simplify (+ 1 0) into 1 7.974 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 7.975 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 7.975 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.975 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.975 * [taylor]: Taking taylor expansion of y in y 7.975 * [backup-simplify]: Simplify 0 into 0 7.975 * [backup-simplify]: Simplify 1 into 1 7.975 * [backup-simplify]: Simplify (* 1 1) into 1 7.975 * [backup-simplify]: Simplify (/ 1 1) into 1 7.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.979 * [backup-simplify]: Simplify (- 0) into 0 7.979 * [backup-simplify]: Simplify 0 into 0 7.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.980 * [backup-simplify]: Simplify 0 into 0 7.981 * [backup-simplify]: Simplify (+ 0 0) into 0 7.981 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 7.982 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 7.982 * [taylor]: Taking taylor expansion of (pow y 3) in y 7.982 * [taylor]: Taking taylor expansion of y in y 7.982 * [backup-simplify]: Simplify 0 into 0 7.982 * [backup-simplify]: Simplify 1 into 1 7.982 * [backup-simplify]: Simplify (* 1 1) into 1 7.983 * [backup-simplify]: Simplify (* 1 1) into 1 7.983 * [backup-simplify]: Simplify (/ 1 1) into 1 7.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.991 * [backup-simplify]: Simplify 0 into 0 7.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.994 * [backup-simplify]: Simplify (- 0) into 0 7.994 * [backup-simplify]: Simplify 0 into 0 7.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.995 * [backup-simplify]: Simplify 0 into 0 7.995 * [backup-simplify]: Simplify 0 into 0 7.995 * [backup-simplify]: Simplify (/ 1 (/ (+ (/ 1 x) (/ 1 y)) (/ 1 x))) into (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) 7.995 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 7.995 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 7.995 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 7.995 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 7.995 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.995 * [taylor]: Taking taylor expansion of y in y 7.995 * [backup-simplify]: Simplify 0 into 0 7.995 * [backup-simplify]: Simplify 1 into 1 7.996 * [backup-simplify]: Simplify (/ 1 1) into 1 7.996 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.996 * [taylor]: Taking taylor expansion of x in y 7.996 * [backup-simplify]: Simplify x into x 7.996 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.996 * [taylor]: Taking taylor expansion of x in y 7.996 * [backup-simplify]: Simplify x into x 7.996 * [backup-simplify]: Simplify (+ 1 0) into 1 7.997 * [backup-simplify]: Simplify (* 1 x) into x 7.997 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.997 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 7.997 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 7.997 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.997 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.997 * [taylor]: Taking taylor expansion of y in x 7.997 * [backup-simplify]: Simplify y into y 7.997 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.997 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.997 * [taylor]: Taking taylor expansion of x in x 7.997 * [backup-simplify]: Simplify 0 into 0 7.997 * [backup-simplify]: Simplify 1 into 1 7.997 * [backup-simplify]: Simplify (/ 1 1) into 1 7.997 * [taylor]: Taking taylor expansion of x in x 7.997 * [backup-simplify]: Simplify 0 into 0 7.998 * [backup-simplify]: Simplify 1 into 1 7.998 * [backup-simplify]: Simplify (+ 0 1) into 1 7.998 * [backup-simplify]: Simplify (* 1 0) into 0 7.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.999 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 8.000 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 8.000 * [backup-simplify]: Simplify (/ 1 1) into 1 8.000 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 8.000 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 8.000 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.000 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.000 * [taylor]: Taking taylor expansion of y in x 8.000 * [backup-simplify]: Simplify y into y 8.000 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.000 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.000 * [taylor]: Taking taylor expansion of x in x 8.000 * [backup-simplify]: Simplify 0 into 0 8.000 * [backup-simplify]: Simplify 1 into 1 8.001 * [backup-simplify]: Simplify (/ 1 1) into 1 8.001 * [taylor]: Taking taylor expansion of x in x 8.001 * [backup-simplify]: Simplify 0 into 0 8.001 * [backup-simplify]: Simplify 1 into 1 8.001 * [backup-simplify]: Simplify (+ 0 1) into 1 8.002 * [backup-simplify]: Simplify (* 1 0) into 0 8.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.003 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 8.003 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 8.003 * [backup-simplify]: Simplify (/ 1 1) into 1 8.004 * [taylor]: Taking taylor expansion of 1 in y 8.004 * [backup-simplify]: Simplify 1 into 1 8.004 * [backup-simplify]: Simplify 0 into 0 8.004 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 8.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.005 * [backup-simplify]: Simplify (+ 0 0) into 0 8.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 1) (* 0 0))) into (/ 1 y) 8.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 8.006 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 8.006 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.006 * [taylor]: Taking taylor expansion of y in y 8.006 * [backup-simplify]: Simplify 0 into 0 8.006 * [backup-simplify]: Simplify 1 into 1 8.007 * [backup-simplify]: Simplify (/ 1 1) into 1 8.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.009 * [backup-simplify]: Simplify (- 0) into 0 8.009 * [backup-simplify]: Simplify 0 into 0 8.009 * [backup-simplify]: Simplify 0 into 0 8.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.010 * [backup-simplify]: Simplify (+ 0 0) into 0 8.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 1) (* 0 0)))) into 0 8.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 8.012 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.012 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.012 * [taylor]: Taking taylor expansion of y in y 8.012 * [backup-simplify]: Simplify 0 into 0 8.012 * [backup-simplify]: Simplify 1 into 1 8.013 * [backup-simplify]: Simplify (* 1 1) into 1 8.013 * [backup-simplify]: Simplify (/ 1 1) into 1 8.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.018 * [backup-simplify]: Simplify 0 into 0 8.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.020 * [backup-simplify]: Simplify (- 0) into 0 8.020 * [backup-simplify]: Simplify 0 into 0 8.020 * [backup-simplify]: Simplify 0 into 0 8.020 * [backup-simplify]: Simplify 0 into 0 8.020 * [backup-simplify]: Simplify (/ 1 (/ (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x)))) into (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) 8.020 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 8.020 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 8.020 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 8.020 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 8.020 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.020 * [taylor]: Taking taylor expansion of y in y 8.020 * [backup-simplify]: Simplify 0 into 0 8.020 * [backup-simplify]: Simplify 1 into 1 8.021 * [backup-simplify]: Simplify (/ 1 1) into 1 8.021 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.021 * [taylor]: Taking taylor expansion of x in y 8.021 * [backup-simplify]: Simplify x into x 8.021 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.021 * [taylor]: Taking taylor expansion of x in y 8.021 * [backup-simplify]: Simplify x into x 8.021 * [backup-simplify]: Simplify (+ 1 0) into 1 8.021 * [backup-simplify]: Simplify (* 1 x) into x 8.021 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.021 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 8.022 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 8.022 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.022 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.022 * [taylor]: Taking taylor expansion of y in x 8.022 * [backup-simplify]: Simplify y into y 8.022 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.022 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.022 * [taylor]: Taking taylor expansion of x in x 8.022 * [backup-simplify]: Simplify 0 into 0 8.022 * [backup-simplify]: Simplify 1 into 1 8.022 * [backup-simplify]: Simplify (/ 1 1) into 1 8.022 * [taylor]: Taking taylor expansion of x in x 8.022 * [backup-simplify]: Simplify 0 into 0 8.022 * [backup-simplify]: Simplify 1 into 1 8.023 * [backup-simplify]: Simplify (+ 0 1) into 1 8.023 * [backup-simplify]: Simplify (* 1 0) into 0 8.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.024 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 8.024 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 8.025 * [backup-simplify]: Simplify (/ 1 1) into 1 8.025 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 8.025 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 8.025 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.025 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.025 * [taylor]: Taking taylor expansion of y in x 8.025 * [backup-simplify]: Simplify y into y 8.025 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.025 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.025 * [taylor]: Taking taylor expansion of x in x 8.025 * [backup-simplify]: Simplify 0 into 0 8.025 * [backup-simplify]: Simplify 1 into 1 8.026 * [backup-simplify]: Simplify (/ 1 1) into 1 8.026 * [taylor]: Taking taylor expansion of x in x 8.026 * [backup-simplify]: Simplify 0 into 0 8.026 * [backup-simplify]: Simplify 1 into 1 8.026 * [backup-simplify]: Simplify (+ 0 1) into 1 8.027 * [backup-simplify]: Simplify (* 1 0) into 0 8.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.027 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 8.028 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 8.028 * [backup-simplify]: Simplify (/ 1 1) into 1 8.028 * [taylor]: Taking taylor expansion of 1 in y 8.028 * [backup-simplify]: Simplify 1 into 1 8.028 * [backup-simplify]: Simplify 0 into 0 8.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 8.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.030 * [backup-simplify]: Simplify (+ 0 0) into 0 8.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 1) (* 0 0))) into (/ 1 y) 8.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 8.031 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 8.031 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.031 * [taylor]: Taking taylor expansion of y in y 8.031 * [backup-simplify]: Simplify 0 into 0 8.031 * [backup-simplify]: Simplify 1 into 1 8.031 * [backup-simplify]: Simplify (/ 1 1) into 1 8.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.033 * [backup-simplify]: Simplify (- 0) into 0 8.033 * [backup-simplify]: Simplify 0 into 0 8.034 * [backup-simplify]: Simplify 0 into 0 8.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.035 * [backup-simplify]: Simplify (+ 0 0) into 0 8.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 1) (* 0 0)))) into 0 8.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 8.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.037 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.037 * [taylor]: Taking taylor expansion of y in y 8.037 * [backup-simplify]: Simplify 0 into 0 8.037 * [backup-simplify]: Simplify 1 into 1 8.037 * [backup-simplify]: Simplify (* 1 1) into 1 8.038 * [backup-simplify]: Simplify (/ 1 1) into 1 8.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.043 * [backup-simplify]: Simplify 0 into 0 8.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.044 * [backup-simplify]: Simplify (- 0) into 0 8.044 * [backup-simplify]: Simplify 0 into 0 8.045 * [backup-simplify]: Simplify 0 into 0 8.045 * [backup-simplify]: Simplify 0 into 0 8.045 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 8.045 * [backup-simplify]: Simplify (/ (+ x y) x) into (/ (+ x y) x) 8.045 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (x y) around 0 8.045 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 8.045 * [taylor]: Taking taylor expansion of (+ x y) in y 8.045 * [taylor]: Taking taylor expansion of x in y 8.045 * [backup-simplify]: Simplify x into x 8.045 * [taylor]: Taking taylor expansion of y in y 8.045 * [backup-simplify]: Simplify 0 into 0 8.045 * [backup-simplify]: Simplify 1 into 1 8.045 * [taylor]: Taking taylor expansion of x in y 8.045 * [backup-simplify]: Simplify x into x 8.045 * [backup-simplify]: Simplify (+ x 0) into x 8.045 * [backup-simplify]: Simplify (/ x x) into 1 8.045 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 8.045 * [taylor]: Taking taylor expansion of (+ x y) in x 8.045 * [taylor]: Taking taylor expansion of x in x 8.045 * [backup-simplify]: Simplify 0 into 0 8.045 * [backup-simplify]: Simplify 1 into 1 8.045 * [taylor]: Taking taylor expansion of y in x 8.046 * [backup-simplify]: Simplify y into y 8.046 * [taylor]: Taking taylor expansion of x in x 8.046 * [backup-simplify]: Simplify 0 into 0 8.046 * [backup-simplify]: Simplify 1 into 1 8.046 * [backup-simplify]: Simplify (+ 0 y) into y 8.046 * [backup-simplify]: Simplify (/ y 1) into y 8.046 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 8.046 * [taylor]: Taking taylor expansion of (+ x y) in x 8.046 * [taylor]: Taking taylor expansion of x in x 8.046 * [backup-simplify]: Simplify 0 into 0 8.046 * [backup-simplify]: Simplify 1 into 1 8.046 * [taylor]: Taking taylor expansion of y in x 8.046 * [backup-simplify]: Simplify y into y 8.046 * [taylor]: Taking taylor expansion of x in x 8.046 * [backup-simplify]: Simplify 0 into 0 8.046 * [backup-simplify]: Simplify 1 into 1 8.046 * [backup-simplify]: Simplify (+ 0 y) into y 8.046 * [backup-simplify]: Simplify (/ y 1) into y 8.046 * [taylor]: Taking taylor expansion of y in y 8.046 * [backup-simplify]: Simplify 0 into 0 8.046 * [backup-simplify]: Simplify 1 into 1 8.046 * [backup-simplify]: Simplify 0 into 0 8.047 * [backup-simplify]: Simplify (+ 1 0) into 1 8.048 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* y (/ 0 1)))) into 1 8.048 * [taylor]: Taking taylor expansion of 1 in y 8.048 * [backup-simplify]: Simplify 1 into 1 8.048 * [backup-simplify]: Simplify 1 into 1 8.048 * [backup-simplify]: Simplify 1 into 1 8.048 * [backup-simplify]: Simplify (+ 0 0) into 0 8.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.050 * [taylor]: Taking taylor expansion of 0 in y 8.050 * [backup-simplify]: Simplify 0 into 0 8.050 * [backup-simplify]: Simplify 0 into 0 8.050 * [backup-simplify]: Simplify 0 into 0 8.050 * [backup-simplify]: Simplify 0 into 0 8.050 * [backup-simplify]: Simplify (+ 0 0) into 0 8.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.052 * [taylor]: Taking taylor expansion of 0 in y 8.052 * [backup-simplify]: Simplify 0 into 0 8.052 * [backup-simplify]: Simplify 0 into 0 8.052 * [backup-simplify]: Simplify 0 into 0 8.052 * [backup-simplify]: Simplify 0 into 0 8.053 * [backup-simplify]: Simplify (+ (* 1 (* y (/ 1 x))) 1) into (+ (/ y x) 1) 8.053 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (/ 1 x)) into (* (+ (/ 1 y) (/ 1 x)) x) 8.053 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 8.053 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 8.053 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 8.053 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.053 * [taylor]: Taking taylor expansion of y in y 8.053 * [backup-simplify]: Simplify 0 into 0 8.053 * [backup-simplify]: Simplify 1 into 1 8.053 * [backup-simplify]: Simplify (/ 1 1) into 1 8.053 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.054 * [taylor]: Taking taylor expansion of x in y 8.054 * [backup-simplify]: Simplify x into x 8.054 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.054 * [taylor]: Taking taylor expansion of x in y 8.054 * [backup-simplify]: Simplify x into x 8.054 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 8.054 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.054 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.054 * [taylor]: Taking taylor expansion of y in x 8.054 * [backup-simplify]: Simplify y into y 8.054 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.054 * [taylor]: Taking taylor expansion of x in x 8.054 * [backup-simplify]: Simplify 0 into 0 8.054 * [backup-simplify]: Simplify 1 into 1 8.054 * [backup-simplify]: Simplify (/ 1 1) into 1 8.054 * [taylor]: Taking taylor expansion of x in x 8.054 * [backup-simplify]: Simplify 0 into 0 8.054 * [backup-simplify]: Simplify 1 into 1 8.054 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 8.054 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.055 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.055 * [taylor]: Taking taylor expansion of y in x 8.055 * [backup-simplify]: Simplify y into y 8.055 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.055 * [taylor]: Taking taylor expansion of x in x 8.055 * [backup-simplify]: Simplify 0 into 0 8.055 * [backup-simplify]: Simplify 1 into 1 8.055 * [backup-simplify]: Simplify (/ 1 1) into 1 8.055 * [taylor]: Taking taylor expansion of x in x 8.055 * [backup-simplify]: Simplify 0 into 0 8.055 * [backup-simplify]: Simplify 1 into 1 8.056 * [backup-simplify]: Simplify (+ 0 1) into 1 8.056 * [backup-simplify]: Simplify (* 1 0) into 0 8.056 * [taylor]: Taking taylor expansion of 0 in y 8.056 * [backup-simplify]: Simplify 0 into 0 8.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.057 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 8.057 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 8.057 * [taylor]: Taking taylor expansion of 1 in y 8.057 * [backup-simplify]: Simplify 1 into 1 8.058 * [backup-simplify]: Simplify 0 into 0 8.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 8.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.059 * [backup-simplify]: Simplify (+ 0 0) into 0 8.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 1) (* 0 0))) into (/ 1 y) 8.060 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.060 * [taylor]: Taking taylor expansion of y in y 8.060 * [backup-simplify]: Simplify 0 into 0 8.060 * [backup-simplify]: Simplify 1 into 1 8.060 * [backup-simplify]: Simplify (/ 1 1) into 1 8.060 * [backup-simplify]: Simplify 1 into 1 8.060 * [backup-simplify]: Simplify 1 into 1 8.060 * [backup-simplify]: Simplify 0 into 0 8.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.062 * [backup-simplify]: Simplify (+ 0 0) into 0 8.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 1) (* 0 0)))) into 0 8.063 * [taylor]: Taking taylor expansion of 0 in y 8.063 * [backup-simplify]: Simplify 0 into 0 8.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.064 * [backup-simplify]: Simplify 0 into 0 8.064 * [backup-simplify]: Simplify 0 into 0 8.064 * [backup-simplify]: Simplify 0 into 0 8.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.065 * [backup-simplify]: Simplify (+ 0 0) into 0 8.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.066 * [taylor]: Taking taylor expansion of 0 in y 8.066 * [backup-simplify]: Simplify 0 into 0 8.066 * [backup-simplify]: Simplify 0 into 0 8.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.067 * [backup-simplify]: Simplify 0 into 0 8.067 * [backup-simplify]: Simplify (+ 1 (* 1 (* (/ 1 (/ 1 y)) (/ 1 x)))) into (+ (/ y x) 1) 8.067 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) into (* (+ (/ 1 y) (/ 1 x)) x) 8.067 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 8.067 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 8.067 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 8.067 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.067 * [taylor]: Taking taylor expansion of y in y 8.067 * [backup-simplify]: Simplify 0 into 0 8.067 * [backup-simplify]: Simplify 1 into 1 8.067 * [backup-simplify]: Simplify (/ 1 1) into 1 8.067 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.067 * [taylor]: Taking taylor expansion of x in y 8.067 * [backup-simplify]: Simplify x into x 8.067 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.067 * [taylor]: Taking taylor expansion of x in y 8.067 * [backup-simplify]: Simplify x into x 8.067 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 8.067 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.067 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.067 * [taylor]: Taking taylor expansion of y in x 8.067 * [backup-simplify]: Simplify y into y 8.068 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.068 * [taylor]: Taking taylor expansion of x in x 8.068 * [backup-simplify]: Simplify 0 into 0 8.068 * [backup-simplify]: Simplify 1 into 1 8.068 * [backup-simplify]: Simplify (/ 1 1) into 1 8.068 * [taylor]: Taking taylor expansion of x in x 8.068 * [backup-simplify]: Simplify 0 into 0 8.068 * [backup-simplify]: Simplify 1 into 1 8.068 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 8.068 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.068 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.068 * [taylor]: Taking taylor expansion of y in x 8.068 * [backup-simplify]: Simplify y into y 8.068 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.068 * [taylor]: Taking taylor expansion of x in x 8.068 * [backup-simplify]: Simplify 0 into 0 8.068 * [backup-simplify]: Simplify 1 into 1 8.068 * [backup-simplify]: Simplify (/ 1 1) into 1 8.068 * [taylor]: Taking taylor expansion of x in x 8.068 * [backup-simplify]: Simplify 0 into 0 8.068 * [backup-simplify]: Simplify 1 into 1 8.069 * [backup-simplify]: Simplify (+ 0 1) into 1 8.069 * [backup-simplify]: Simplify (* 1 0) into 0 8.069 * [taylor]: Taking taylor expansion of 0 in y 8.069 * [backup-simplify]: Simplify 0 into 0 8.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.069 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 8.070 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 8.070 * [taylor]: Taking taylor expansion of 1 in y 8.070 * [backup-simplify]: Simplify 1 into 1 8.070 * [backup-simplify]: Simplify 0 into 0 8.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 8.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.071 * [backup-simplify]: Simplify (+ 0 0) into 0 8.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 1) (* 0 0))) into (/ 1 y) 8.072 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.072 * [taylor]: Taking taylor expansion of y in y 8.072 * [backup-simplify]: Simplify 0 into 0 8.072 * [backup-simplify]: Simplify 1 into 1 8.072 * [backup-simplify]: Simplify (/ 1 1) into 1 8.072 * [backup-simplify]: Simplify 1 into 1 8.072 * [backup-simplify]: Simplify 1 into 1 8.072 * [backup-simplify]: Simplify 0 into 0 8.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.073 * [backup-simplify]: Simplify (+ 0 0) into 0 8.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 1) (* 0 0)))) into 0 8.074 * [taylor]: Taking taylor expansion of 0 in y 8.074 * [backup-simplify]: Simplify 0 into 0 8.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.075 * [backup-simplify]: Simplify 0 into 0 8.075 * [backup-simplify]: Simplify 0 into 0 8.075 * [backup-simplify]: Simplify 0 into 0 8.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.076 * [backup-simplify]: Simplify (+ 0 0) into 0 8.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.077 * [taylor]: Taking taylor expansion of 0 in y 8.077 * [backup-simplify]: Simplify 0 into 0 8.077 * [backup-simplify]: Simplify 0 into 0 8.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.077 * [backup-simplify]: Simplify 0 into 0 8.077 * [backup-simplify]: Simplify (+ 1 (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (- x))))) into (+ (/ y x) 1) 8.077 * * * [progress]: simplifying candidates 8.079 * [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) 8.081 * * [simplify]: Extracting # 0 : cost 0 8.082 * * [simplify]: Extracting # 1 : cost 0 8.082 * * [simplify]: Extracting # 2 : cost 0 8.082 * * [simplify]: Extracting # 3 : cost 0 8.082 * * [simplify]: Extracting # 4 : cost 0 8.082 * * [simplify]: Extracting # 5 : cost 0 8.083 * * [simplify]: Extracting # 6 : cost 0 8.083 * * [simplify]: Extracting # 7 : cost 0 8.083 * * [simplify]: iteration 0 : 160 enodes (cost 1662 ) 8.137 * * [simplify]: Extracting # 0 : cost 0 8.138 * * [simplify]: Extracting # 1 : cost 0 8.138 * * [simplify]: Extracting # 2 : cost 0 8.139 * * [simplify]: Extracting # 3 : cost 0 8.139 * * [simplify]: Extracting # 4 : cost 0 8.140 * * [simplify]: iteration 1 : 339 enodes (cost 1374 ) 8.225 * * [simplify]: Extracting # 0 : cost 0 8.226 * * [simplify]: Extracting # 1 : cost 0 8.228 * * [simplify]: Extracting # 2 : cost 0 8.229 * * [simplify]: Extracting # 3 : cost 0 8.230 * * [simplify]: Extracting # 4 : cost 0 8.231 * * [simplify]: iteration 2 : 664 enodes (cost 1203 ) 8.614 * * [simplify]: Extracting # 0 : cost 0 8.615 * * [simplify]: Extracting # 1 : cost 0 8.616 * * [simplify]: Extracting # 2 : cost 0 8.617 * * [simplify]: Extracting # 3 : cost 0 8.618 * * [simplify]: Extracting # 4 : cost 0 8.623 * * [simplify]: Extracting # 5 : cost 0 8.624 * * [simplify]: iteration 3 : 1377 enodes (cost 1179 ) 9.866 * * [simplify]: Extracting # 0 : cost 0 9.871 * * [simplify]: Extracting # 1 : cost 0 9.875 * * [simplify]: Extracting # 2 : cost 0 9.879 * * [simplify]: Extracting # 3 : cost 0 9.882 * * [simplify]: Extracting # 4 : cost 0 9.883 * * [simplify]: iteration 4 : 2622 enodes (cost 1179 ) 12.395 * * [simplify]: Extracting # 0 : cost 0 12.401 * * [simplify]: Extracting # 1 : cost 0 12.406 * * [simplify]: Extracting # 2 : cost 0 12.414 * * [simplify]: Extracting # 3 : cost 0 12.421 * * [simplify]: Extracting # 4 : cost 0 12.425 * * [simplify]: iteration done: 5000 enodes (cost 1178 ) 12.426 * [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))) (pow (/ x (+ x y)) 3) (pow (/ x (+ x y)) 3) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (pow (/ x (+ x y)) 3) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) -1 (- -1 (/ 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)) (* (cbrt (+ x y)) (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))) (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)) (* (cbrt (+ x y)) (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))) (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)) (* (cbrt (+ x y)) (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))) (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 (/ x (+ x y)) (/ (+ x y) x) (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (/ 1 (cbrt (+ x y))) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (sqrt x) 1 (* (cbrt x) (cbrt x)) (sqrt x) 1 1 (/ 1 (+ x y)) (/ (+ x y) x) (/ (+ x y) x) (/ (+ x y) x) (/ 1 (+ x y)) (expm1 (/ (+ x y) x)) (log1p (/ (+ x y) x)) (log (/ (+ x y) x)) (log (/ (+ x y) x)) (exp (/ (+ x y) x)) (pow (/ (+ x y) x) 3) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x)) (pow (/ (+ x y) x) 3) (sqrt (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (- (+ x y)) (- x) (* (/ (cbrt (+ x y)) (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)) (cbrt (+ x y))) (/ (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)) (/ (sqrt (+ x y)) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) 1 (/ (+ x y) x) (/ (/ 1 (cbrt x)) (cbrt 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 x x (* y (- y x)))) (* x (- x y)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 12.427 * * * [progress]: adding candidates to table 12.631 * * [progress]: iteration 4 / 4 12.631 * * * [progress]: picking best candidate 12.632 * * * * [pick]: Picked # 12.632 * * * [progress]: localizing error 12.648 * * * [progress]: generating rewritten candidates 12.649 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 12.678 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 12.689 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 12.799 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 12.842 * * * [progress]: generating series expansions 12.842 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 12.842 * [backup-simplify]: Simplify (sqrt (/ x (+ x y))) into (sqrt (/ x (+ x y))) 12.842 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 12.842 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 12.842 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 12.842 * [taylor]: Taking taylor expansion of x in y 12.842 * [backup-simplify]: Simplify x into x 12.842 * [taylor]: Taking taylor expansion of (+ x y) in y 12.842 * [taylor]: Taking taylor expansion of x in y 12.842 * [backup-simplify]: Simplify x into x 12.842 * [taylor]: Taking taylor expansion of y in y 12.842 * [backup-simplify]: Simplify 0 into 0 12.842 * [backup-simplify]: Simplify 1 into 1 12.843 * [backup-simplify]: Simplify (+ x 0) into x 12.843 * [backup-simplify]: Simplify (/ x x) into 1 12.843 * [backup-simplify]: Simplify (sqrt 1) into 1 12.844 * [backup-simplify]: Simplify (+ 0 1) into 1 12.844 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 1 x)))) into (- (/ 1 x)) 12.845 * [backup-simplify]: Simplify (/ (- (/ 1 x)) (* 2 (sqrt 1))) into (/ -1/2 x) 12.845 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 12.845 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.845 * [taylor]: Taking taylor expansion of x in x 12.845 * [backup-simplify]: Simplify 0 into 0 12.845 * [backup-simplify]: Simplify 1 into 1 12.845 * [taylor]: Taking taylor expansion of (+ x y) in x 12.845 * [taylor]: Taking taylor expansion of x in x 12.845 * [backup-simplify]: Simplify 0 into 0 12.845 * [backup-simplify]: Simplify 1 into 1 12.845 * [taylor]: Taking taylor expansion of y in x 12.845 * [backup-simplify]: Simplify y into y 12.845 * [backup-simplify]: Simplify (+ 0 y) into y 12.845 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.846 * [backup-simplify]: Simplify (sqrt 0) into 0 12.846 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 12.846 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 12.846 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.846 * [taylor]: Taking taylor expansion of x in x 12.846 * [backup-simplify]: Simplify 0 into 0 12.846 * [backup-simplify]: Simplify 1 into 1 12.846 * [taylor]: Taking taylor expansion of (+ x y) in x 12.846 * [taylor]: Taking taylor expansion of x in x 12.847 * [backup-simplify]: Simplify 0 into 0 12.847 * [backup-simplify]: Simplify 1 into 1 12.847 * [taylor]: Taking taylor expansion of y in x 12.847 * [backup-simplify]: Simplify y into y 12.847 * [backup-simplify]: Simplify (+ 0 y) into y 12.847 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.847 * [backup-simplify]: Simplify (sqrt 0) into 0 12.848 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 12.848 * [taylor]: Taking taylor expansion of 0 in y 12.848 * [backup-simplify]: Simplify 0 into 0 12.848 * [backup-simplify]: Simplify 0 into 0 12.848 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 12.848 * [taylor]: Taking taylor expansion of +nan.0 in y 12.848 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.848 * [taylor]: Taking taylor expansion of y in y 12.848 * [backup-simplify]: Simplify 0 into 0 12.848 * [backup-simplify]: Simplify 1 into 1 12.849 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 12.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 12.850 * [backup-simplify]: Simplify 0 into 0 12.850 * [backup-simplify]: Simplify 0 into 0 12.850 * [backup-simplify]: Simplify (+ 1 0) into 1 12.851 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 12.852 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 2))) (pow (/ +nan.0 y) 2) (+)) (* 2 0)) into (/ +nan.0 (pow y 2)) 12.852 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 12.852 * [taylor]: Taking taylor expansion of +nan.0 in y 12.852 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.852 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.852 * [taylor]: Taking taylor expansion of y in y 12.852 * [backup-simplify]: Simplify 0 into 0 12.852 * [backup-simplify]: Simplify 1 into 1 12.852 * [backup-simplify]: Simplify (* 1 1) into 1 12.853 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 12.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 12.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.856 * [backup-simplify]: Simplify 0 into 0 12.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.857 * [backup-simplify]: Simplify 0 into 0 12.857 * [backup-simplify]: Simplify 0 into 0 12.858 * [backup-simplify]: Simplify 0 into 0 12.858 * [backup-simplify]: Simplify (sqrt (/ (/ 1 x) (+ (/ 1 x) (/ 1 y)))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 12.858 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 12.858 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 12.858 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.858 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.858 * [taylor]: Taking taylor expansion of x in y 12.858 * [backup-simplify]: Simplify x into x 12.858 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.858 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.858 * [taylor]: Taking taylor expansion of y in y 12.858 * [backup-simplify]: Simplify 0 into 0 12.858 * [backup-simplify]: Simplify 1 into 1 12.859 * [backup-simplify]: Simplify (/ 1 1) into 1 12.859 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.859 * [taylor]: Taking taylor expansion of x in y 12.859 * [backup-simplify]: Simplify x into x 12.859 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.859 * [backup-simplify]: Simplify (+ 1 0) into 1 12.859 * [backup-simplify]: Simplify (* x 1) into x 12.859 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.860 * [backup-simplify]: Simplify (sqrt 0) into 0 12.860 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 12.860 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.860 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.860 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.860 * [taylor]: Taking taylor expansion of x in x 12.860 * [backup-simplify]: Simplify 0 into 0 12.860 * [backup-simplify]: Simplify 1 into 1 12.860 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.861 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.861 * [taylor]: Taking taylor expansion of y in x 12.861 * [backup-simplify]: Simplify y into y 12.861 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.861 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.861 * [taylor]: Taking taylor expansion of x in x 12.861 * [backup-simplify]: Simplify 0 into 0 12.861 * [backup-simplify]: Simplify 1 into 1 12.861 * [backup-simplify]: Simplify (/ 1 1) into 1 12.861 * [backup-simplify]: Simplify (+ 0 1) into 1 12.862 * [backup-simplify]: Simplify (* 0 1) into 0 12.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.862 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.862 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.863 * [backup-simplify]: Simplify (/ 1 1) into 1 12.863 * [backup-simplify]: Simplify (sqrt 1) into 1 12.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.864 * [backup-simplify]: Simplify (+ 0 0) into 0 12.864 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.865 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.865 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.865 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.865 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.865 * [taylor]: Taking taylor expansion of x in x 12.865 * [backup-simplify]: Simplify 0 into 0 12.865 * [backup-simplify]: Simplify 1 into 1 12.865 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.865 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.865 * [taylor]: Taking taylor expansion of y in x 12.865 * [backup-simplify]: Simplify y into y 12.865 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.865 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.865 * [taylor]: Taking taylor expansion of x in x 12.865 * [backup-simplify]: Simplify 0 into 0 12.865 * [backup-simplify]: Simplify 1 into 1 12.865 * [backup-simplify]: Simplify (/ 1 1) into 1 12.865 * [backup-simplify]: Simplify (+ 0 1) into 1 12.866 * [backup-simplify]: Simplify (* 0 1) into 0 12.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.866 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.866 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.867 * [backup-simplify]: Simplify (/ 1 1) into 1 12.867 * [backup-simplify]: Simplify (sqrt 1) into 1 12.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.868 * [backup-simplify]: Simplify (+ 0 0) into 0 12.868 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.869 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.869 * [taylor]: Taking taylor expansion of 1 in y 12.869 * [backup-simplify]: Simplify 1 into 1 12.869 * [backup-simplify]: Simplify 1 into 1 12.869 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 12.869 * [taylor]: Taking taylor expansion of -1/2 in y 12.869 * [backup-simplify]: Simplify -1/2 into -1/2 12.869 * [taylor]: Taking taylor expansion of y in y 12.869 * [backup-simplify]: Simplify 0 into 0 12.869 * [backup-simplify]: Simplify 1 into 1 12.869 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.870 * [backup-simplify]: Simplify 0 into 0 12.870 * [backup-simplify]: Simplify 0 into 0 12.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.871 * [backup-simplify]: Simplify (+ 0 0) into 0 12.871 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.872 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 12.873 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 12.873 * [taylor]: Taking taylor expansion of 3/8 in y 12.873 * [backup-simplify]: Simplify 3/8 into 3/8 12.873 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.873 * [taylor]: Taking taylor expansion of y in y 12.873 * [backup-simplify]: Simplify 0 into 0 12.873 * [backup-simplify]: Simplify 1 into 1 12.873 * [backup-simplify]: Simplify (* 1 1) into 1 12.873 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 12.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 12.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.875 * [backup-simplify]: Simplify 0 into 0 12.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.876 * [backup-simplify]: Simplify 0 into 0 12.876 * [backup-simplify]: Simplify 0 into 0 12.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.877 * [backup-simplify]: Simplify (+ 0 0) into 0 12.878 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 12.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 12.879 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 12.879 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 12.879 * [taylor]: Taking taylor expansion of -5/16 in y 12.879 * [backup-simplify]: Simplify -5/16 into -5/16 12.879 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.879 * [taylor]: Taking taylor expansion of y in y 12.879 * [backup-simplify]: Simplify 0 into 0 12.879 * [backup-simplify]: Simplify 1 into 1 12.879 * [backup-simplify]: Simplify (* 1 1) into 1 12.880 * [backup-simplify]: Simplify (* 1 1) into 1 12.880 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 12.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 12.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.885 * [backup-simplify]: Simplify 0 into 0 12.885 * [backup-simplify]: Simplify 1 into 1 12.885 * [backup-simplify]: Simplify (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y))))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 12.885 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 12.885 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 12.885 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.885 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.885 * [taylor]: Taking taylor expansion of x in y 12.885 * [backup-simplify]: Simplify x into x 12.885 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.885 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.885 * [taylor]: Taking taylor expansion of y in y 12.885 * [backup-simplify]: Simplify 0 into 0 12.885 * [backup-simplify]: Simplify 1 into 1 12.885 * [backup-simplify]: Simplify (/ 1 1) into 1 12.885 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.885 * [taylor]: Taking taylor expansion of x in y 12.885 * [backup-simplify]: Simplify x into x 12.886 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.886 * [backup-simplify]: Simplify (+ 1 0) into 1 12.886 * [backup-simplify]: Simplify (* x 1) into x 12.886 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.886 * [backup-simplify]: Simplify (sqrt 0) into 0 12.891 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 12.892 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.892 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.892 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.892 * [taylor]: Taking taylor expansion of x in x 12.892 * [backup-simplify]: Simplify 0 into 0 12.892 * [backup-simplify]: Simplify 1 into 1 12.892 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.892 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.892 * [taylor]: Taking taylor expansion of y in x 12.892 * [backup-simplify]: Simplify y into y 12.892 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.892 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.892 * [taylor]: Taking taylor expansion of x in x 12.892 * [backup-simplify]: Simplify 0 into 0 12.892 * [backup-simplify]: Simplify 1 into 1 12.893 * [backup-simplify]: Simplify (/ 1 1) into 1 12.893 * [backup-simplify]: Simplify (+ 0 1) into 1 12.893 * [backup-simplify]: Simplify (* 0 1) into 0 12.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.894 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.894 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.895 * [backup-simplify]: Simplify (/ 1 1) into 1 12.895 * [backup-simplify]: Simplify (sqrt 1) into 1 12.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.896 * [backup-simplify]: Simplify (+ 0 0) into 0 12.897 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.898 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.898 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.898 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.898 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.898 * [taylor]: Taking taylor expansion of x in x 12.898 * [backup-simplify]: Simplify 0 into 0 12.898 * [backup-simplify]: Simplify 1 into 1 12.898 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.898 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.898 * [taylor]: Taking taylor expansion of y in x 12.898 * [backup-simplify]: Simplify y into y 12.898 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.898 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.898 * [taylor]: Taking taylor expansion of x in x 12.898 * [backup-simplify]: Simplify 0 into 0 12.898 * [backup-simplify]: Simplify 1 into 1 12.899 * [backup-simplify]: Simplify (/ 1 1) into 1 12.899 * [backup-simplify]: Simplify (+ 0 1) into 1 12.899 * [backup-simplify]: Simplify (* 0 1) into 0 12.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.900 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.901 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.901 * [backup-simplify]: Simplify (/ 1 1) into 1 12.902 * [backup-simplify]: Simplify (sqrt 1) into 1 12.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.903 * [backup-simplify]: Simplify (+ 0 0) into 0 12.903 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.904 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.904 * [taylor]: Taking taylor expansion of 1 in y 12.904 * [backup-simplify]: Simplify 1 into 1 12.904 * [backup-simplify]: Simplify 1 into 1 12.904 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 12.904 * [taylor]: Taking taylor expansion of -1/2 in y 12.904 * [backup-simplify]: Simplify -1/2 into -1/2 12.904 * [taylor]: Taking taylor expansion of y in y 12.904 * [backup-simplify]: Simplify 0 into 0 12.904 * [backup-simplify]: Simplify 1 into 1 12.905 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.906 * [backup-simplify]: Simplify 0 into 0 12.906 * [backup-simplify]: Simplify 0 into 0 12.906 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.907 * [backup-simplify]: Simplify (+ 0 0) into 0 12.908 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.910 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 12.910 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 12.910 * [taylor]: Taking taylor expansion of 3/8 in y 12.910 * [backup-simplify]: Simplify 3/8 into 3/8 12.910 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.910 * [taylor]: Taking taylor expansion of y in y 12.910 * [backup-simplify]: Simplify 0 into 0 12.910 * [backup-simplify]: Simplify 1 into 1 12.910 * [backup-simplify]: Simplify (* 1 1) into 1 12.910 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 12.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 12.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.913 * [backup-simplify]: Simplify 0 into 0 12.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.915 * [backup-simplify]: Simplify 0 into 0 12.915 * [backup-simplify]: Simplify 0 into 0 12.915 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.916 * [backup-simplify]: Simplify (+ 0 0) into 0 12.918 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 12.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 12.920 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 12.920 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 12.920 * [taylor]: Taking taylor expansion of -5/16 in y 12.920 * [backup-simplify]: Simplify -5/16 into -5/16 12.920 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.920 * [taylor]: Taking taylor expansion of y in y 12.920 * [backup-simplify]: Simplify 0 into 0 12.920 * [backup-simplify]: Simplify 1 into 1 12.921 * [backup-simplify]: Simplify (* 1 1) into 1 12.921 * [backup-simplify]: Simplify (* 1 1) into 1 12.922 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 12.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 12.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.930 * [backup-simplify]: Simplify 0 into 0 12.930 * [backup-simplify]: Simplify 1 into 1 12.930 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 12.931 * [backup-simplify]: Simplify (sqrt (/ x (+ x y))) into (sqrt (/ x (+ x y))) 12.931 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 12.931 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 12.931 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 12.931 * [taylor]: Taking taylor expansion of x in y 12.931 * [backup-simplify]: Simplify x into x 12.931 * [taylor]: Taking taylor expansion of (+ x y) in y 12.931 * [taylor]: Taking taylor expansion of x in y 12.931 * [backup-simplify]: Simplify x into x 12.931 * [taylor]: Taking taylor expansion of y in y 12.931 * [backup-simplify]: Simplify 0 into 0 12.931 * [backup-simplify]: Simplify 1 into 1 12.931 * [backup-simplify]: Simplify (+ x 0) into x 12.931 * [backup-simplify]: Simplify (/ x x) into 1 12.931 * [backup-simplify]: Simplify (sqrt 1) into 1 12.932 * [backup-simplify]: Simplify (+ 0 1) into 1 12.932 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 1 x)))) into (- (/ 1 x)) 12.932 * [backup-simplify]: Simplify (/ (- (/ 1 x)) (* 2 (sqrt 1))) into (/ -1/2 x) 12.932 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 12.933 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.933 * [taylor]: Taking taylor expansion of x in x 12.933 * [backup-simplify]: Simplify 0 into 0 12.933 * [backup-simplify]: Simplify 1 into 1 12.933 * [taylor]: Taking taylor expansion of (+ x y) in x 12.933 * [taylor]: Taking taylor expansion of x in x 12.933 * [backup-simplify]: Simplify 0 into 0 12.933 * [backup-simplify]: Simplify 1 into 1 12.933 * [taylor]: Taking taylor expansion of y in x 12.933 * [backup-simplify]: Simplify y into y 12.933 * [backup-simplify]: Simplify (+ 0 y) into y 12.933 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.933 * [backup-simplify]: Simplify (sqrt 0) into 0 12.934 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 12.934 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 12.934 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.934 * [taylor]: Taking taylor expansion of x in x 12.934 * [backup-simplify]: Simplify 0 into 0 12.934 * [backup-simplify]: Simplify 1 into 1 12.934 * [taylor]: Taking taylor expansion of (+ x y) in x 12.934 * [taylor]: Taking taylor expansion of x in x 12.934 * [backup-simplify]: Simplify 0 into 0 12.934 * [backup-simplify]: Simplify 1 into 1 12.934 * [taylor]: Taking taylor expansion of y in x 12.934 * [backup-simplify]: Simplify y into y 12.934 * [backup-simplify]: Simplify (+ 0 y) into y 12.934 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.935 * [backup-simplify]: Simplify (sqrt 0) into 0 12.935 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 12.935 * [taylor]: Taking taylor expansion of 0 in y 12.935 * [backup-simplify]: Simplify 0 into 0 12.936 * [backup-simplify]: Simplify 0 into 0 12.936 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 12.936 * [taylor]: Taking taylor expansion of +nan.0 in y 12.936 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.936 * [taylor]: Taking taylor expansion of y in y 12.936 * [backup-simplify]: Simplify 0 into 0 12.936 * [backup-simplify]: Simplify 1 into 1 12.936 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 12.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 12.937 * [backup-simplify]: Simplify 0 into 0 12.937 * [backup-simplify]: Simplify 0 into 0 12.938 * [backup-simplify]: Simplify (+ 1 0) into 1 12.938 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 12.939 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 2))) (pow (/ +nan.0 y) 2) (+)) (* 2 0)) into (/ +nan.0 (pow y 2)) 12.939 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 12.939 * [taylor]: Taking taylor expansion of +nan.0 in y 12.939 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.939 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.939 * [taylor]: Taking taylor expansion of y in y 12.939 * [backup-simplify]: Simplify 0 into 0 12.939 * [backup-simplify]: Simplify 1 into 1 12.940 * [backup-simplify]: Simplify (* 1 1) into 1 12.940 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 12.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 12.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.944 * [backup-simplify]: Simplify 0 into 0 12.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.945 * [backup-simplify]: Simplify 0 into 0 12.945 * [backup-simplify]: Simplify 0 into 0 12.945 * [backup-simplify]: Simplify 0 into 0 12.945 * [backup-simplify]: Simplify (sqrt (/ (/ 1 x) (+ (/ 1 x) (/ 1 y)))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 12.945 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 12.945 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 12.945 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.945 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.945 * [taylor]: Taking taylor expansion of x in y 12.945 * [backup-simplify]: Simplify x into x 12.946 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.946 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.946 * [taylor]: Taking taylor expansion of y in y 12.946 * [backup-simplify]: Simplify 0 into 0 12.946 * [backup-simplify]: Simplify 1 into 1 12.946 * [backup-simplify]: Simplify (/ 1 1) into 1 12.946 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.946 * [taylor]: Taking taylor expansion of x in y 12.946 * [backup-simplify]: Simplify x into x 12.946 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.947 * [backup-simplify]: Simplify (+ 1 0) into 1 12.947 * [backup-simplify]: Simplify (* x 1) into x 12.947 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.947 * [backup-simplify]: Simplify (sqrt 0) into 0 12.948 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 12.948 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.948 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.948 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.948 * [taylor]: Taking taylor expansion of x in x 12.948 * [backup-simplify]: Simplify 0 into 0 12.948 * [backup-simplify]: Simplify 1 into 1 12.948 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.948 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.948 * [taylor]: Taking taylor expansion of y in x 12.948 * [backup-simplify]: Simplify y into y 12.948 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.948 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.948 * [taylor]: Taking taylor expansion of x in x 12.948 * [backup-simplify]: Simplify 0 into 0 12.948 * [backup-simplify]: Simplify 1 into 1 12.949 * [backup-simplify]: Simplify (/ 1 1) into 1 12.949 * [backup-simplify]: Simplify (+ 0 1) into 1 12.950 * [backup-simplify]: Simplify (* 0 1) into 0 12.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.950 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.951 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.951 * [backup-simplify]: Simplify (/ 1 1) into 1 12.952 * [backup-simplify]: Simplify (sqrt 1) into 1 12.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.953 * [backup-simplify]: Simplify (+ 0 0) into 0 12.954 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.955 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.955 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.955 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.955 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.955 * [taylor]: Taking taylor expansion of x in x 12.955 * [backup-simplify]: Simplify 0 into 0 12.955 * [backup-simplify]: Simplify 1 into 1 12.955 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.955 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.955 * [taylor]: Taking taylor expansion of y in x 12.955 * [backup-simplify]: Simplify y into y 12.955 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.955 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.956 * [taylor]: Taking taylor expansion of x in x 12.956 * [backup-simplify]: Simplify 0 into 0 12.956 * [backup-simplify]: Simplify 1 into 1 12.956 * [backup-simplify]: Simplify (/ 1 1) into 1 12.956 * [backup-simplify]: Simplify (+ 0 1) into 1 12.957 * [backup-simplify]: Simplify (* 0 1) into 0 12.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.958 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.958 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.958 * [backup-simplify]: Simplify (/ 1 1) into 1 12.959 * [backup-simplify]: Simplify (sqrt 1) into 1 12.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.960 * [backup-simplify]: Simplify (+ 0 0) into 0 12.961 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.962 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.962 * [taylor]: Taking taylor expansion of 1 in y 12.962 * [backup-simplify]: Simplify 1 into 1 12.962 * [backup-simplify]: Simplify 1 into 1 12.962 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 12.962 * [taylor]: Taking taylor expansion of -1/2 in y 12.962 * [backup-simplify]: Simplify -1/2 into -1/2 12.962 * [taylor]: Taking taylor expansion of y in y 12.962 * [backup-simplify]: Simplify 0 into 0 12.962 * [backup-simplify]: Simplify 1 into 1 12.963 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.964 * [backup-simplify]: Simplify 0 into 0 12.964 * [backup-simplify]: Simplify 0 into 0 12.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.965 * [backup-simplify]: Simplify (+ 0 0) into 0 12.967 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.968 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 12.968 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 12.969 * [taylor]: Taking taylor expansion of 3/8 in y 12.969 * [backup-simplify]: Simplify 3/8 into 3/8 12.969 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.969 * [taylor]: Taking taylor expansion of y in y 12.969 * [backup-simplify]: Simplify 0 into 0 12.969 * [backup-simplify]: Simplify 1 into 1 12.969 * [backup-simplify]: Simplify (* 1 1) into 1 12.970 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 12.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 12.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.973 * [backup-simplify]: Simplify 0 into 0 12.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.974 * [backup-simplify]: Simplify 0 into 0 12.974 * [backup-simplify]: Simplify 0 into 0 12.975 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.976 * [backup-simplify]: Simplify (+ 0 0) into 0 12.977 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 12.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 12.980 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 12.980 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 12.980 * [taylor]: Taking taylor expansion of -5/16 in y 12.980 * [backup-simplify]: Simplify -5/16 into -5/16 12.980 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.980 * [taylor]: Taking taylor expansion of y in y 12.980 * [backup-simplify]: Simplify 0 into 0 12.980 * [backup-simplify]: Simplify 1 into 1 12.981 * [backup-simplify]: Simplify (* 1 1) into 1 12.981 * [backup-simplify]: Simplify (* 1 1) into 1 12.981 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 12.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 12.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.990 * [backup-simplify]: Simplify 0 into 0 12.990 * [backup-simplify]: Simplify 1 into 1 12.990 * [backup-simplify]: Simplify (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y))))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 12.990 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 12.990 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 12.990 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.990 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.990 * [taylor]: Taking taylor expansion of x in y 12.990 * [backup-simplify]: Simplify x into x 12.990 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.990 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.990 * [taylor]: Taking taylor expansion of y in y 12.990 * [backup-simplify]: Simplify 0 into 0 12.991 * [backup-simplify]: Simplify 1 into 1 12.991 * [backup-simplify]: Simplify (/ 1 1) into 1 12.991 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.991 * [taylor]: Taking taylor expansion of x in y 12.991 * [backup-simplify]: Simplify x into x 12.991 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.992 * [backup-simplify]: Simplify (+ 1 0) into 1 12.992 * [backup-simplify]: Simplify (* x 1) into x 12.992 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.992 * [backup-simplify]: Simplify (sqrt 0) into 0 12.993 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 12.993 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.993 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.993 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.993 * [taylor]: Taking taylor expansion of x in x 12.993 * [backup-simplify]: Simplify 0 into 0 12.993 * [backup-simplify]: Simplify 1 into 1 12.993 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.993 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.993 * [taylor]: Taking taylor expansion of y in x 12.993 * [backup-simplify]: Simplify y into y 12.993 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.993 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.993 * [taylor]: Taking taylor expansion of x in x 12.993 * [backup-simplify]: Simplify 0 into 0 12.993 * [backup-simplify]: Simplify 1 into 1 12.993 * [backup-simplify]: Simplify (/ 1 1) into 1 12.994 * [backup-simplify]: Simplify (+ 0 1) into 1 12.994 * [backup-simplify]: Simplify (* 0 1) into 0 12.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.994 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.995 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.995 * [backup-simplify]: Simplify (/ 1 1) into 1 12.995 * [backup-simplify]: Simplify (sqrt 1) into 1 12.995 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.996 * [backup-simplify]: Simplify (+ 0 0) into 0 12.997 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.997 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.997 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.997 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.997 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.997 * [taylor]: Taking taylor expansion of x in x 12.997 * [backup-simplify]: Simplify 0 into 0 12.997 * [backup-simplify]: Simplify 1 into 1 12.997 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.997 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.997 * [taylor]: Taking taylor expansion of y in x 12.997 * [backup-simplify]: Simplify y into y 12.997 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.997 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.997 * [taylor]: Taking taylor expansion of x in x 12.997 * [backup-simplify]: Simplify 0 into 0 12.997 * [backup-simplify]: Simplify 1 into 1 12.998 * [backup-simplify]: Simplify (/ 1 1) into 1 12.998 * [backup-simplify]: Simplify (+ 0 1) into 1 12.998 * [backup-simplify]: Simplify (* 0 1) into 0 12.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.999 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.999 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.999 * [backup-simplify]: Simplify (/ 1 1) into 1 13.000 * [backup-simplify]: Simplify (sqrt 1) into 1 13.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 13.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.001 * [backup-simplify]: Simplify (+ 0 0) into 0 13.002 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 13.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 13.003 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 13.003 * [taylor]: Taking taylor expansion of 1 in y 13.003 * [backup-simplify]: Simplify 1 into 1 13.003 * [backup-simplify]: Simplify 1 into 1 13.003 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 13.003 * [taylor]: Taking taylor expansion of -1/2 in y 13.003 * [backup-simplify]: Simplify -1/2 into -1/2 13.003 * [taylor]: Taking taylor expansion of y in y 13.003 * [backup-simplify]: Simplify 0 into 0 13.003 * [backup-simplify]: Simplify 1 into 1 13.004 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 13.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 13.005 * [backup-simplify]: Simplify 0 into 0 13.005 * [backup-simplify]: Simplify 0 into 0 13.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 13.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.006 * [backup-simplify]: Simplify (+ 0 0) into 0 13.007 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 13.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 13.009 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 13.009 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 13.009 * [taylor]: Taking taylor expansion of 3/8 in y 13.009 * [backup-simplify]: Simplify 3/8 into 3/8 13.009 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.009 * [taylor]: Taking taylor expansion of y in y 13.009 * [backup-simplify]: Simplify 0 into 0 13.009 * [backup-simplify]: Simplify 1 into 1 13.010 * [backup-simplify]: Simplify (* 1 1) into 1 13.010 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 13.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 13.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.012 * [backup-simplify]: Simplify 0 into 0 13.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.013 * [backup-simplify]: Simplify 0 into 0 13.013 * [backup-simplify]: Simplify 0 into 0 13.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 13.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.014 * [backup-simplify]: Simplify (+ 0 0) into 0 13.014 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 13.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 13.016 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 13.016 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 13.016 * [taylor]: Taking taylor expansion of -5/16 in y 13.016 * [backup-simplify]: Simplify -5/16 into -5/16 13.016 * [taylor]: Taking taylor expansion of (pow y 3) in y 13.016 * [taylor]: Taking taylor expansion of y in y 13.016 * [backup-simplify]: Simplify 0 into 0 13.016 * [backup-simplify]: Simplify 1 into 1 13.016 * [backup-simplify]: Simplify (* 1 1) into 1 13.016 * [backup-simplify]: Simplify (* 1 1) into 1 13.017 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 13.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 13.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.021 * [backup-simplify]: Simplify 0 into 0 13.021 * [backup-simplify]: Simplify 1 into 1 13.021 * * * * [progress]: [ 3 / 4 ] generating series at (2) 13.022 * [backup-simplify]: Simplify (* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y)))) into (/ x (+ x y)) 13.022 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 13.022 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 13.022 * [taylor]: Taking taylor expansion of x in y 13.022 * [backup-simplify]: Simplify x into x 13.022 * [taylor]: Taking taylor expansion of (+ x y) in y 13.022 * [taylor]: Taking taylor expansion of x in y 13.022 * [backup-simplify]: Simplify x into x 13.022 * [taylor]: Taking taylor expansion of y in y 13.022 * [backup-simplify]: Simplify 0 into 0 13.022 * [backup-simplify]: Simplify 1 into 1 13.022 * [backup-simplify]: Simplify (+ x 0) into x 13.022 * [backup-simplify]: Simplify (/ x x) into 1 13.022 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 13.022 * [taylor]: Taking taylor expansion of x in x 13.022 * [backup-simplify]: Simplify 0 into 0 13.022 * [backup-simplify]: Simplify 1 into 1 13.022 * [taylor]: Taking taylor expansion of (+ x y) in x 13.022 * [taylor]: Taking taylor expansion of x in x 13.022 * [backup-simplify]: Simplify 0 into 0 13.022 * [backup-simplify]: Simplify 1 into 1 13.022 * [taylor]: Taking taylor expansion of y in x 13.022 * [backup-simplify]: Simplify y into y 13.022 * [backup-simplify]: Simplify (+ 0 y) into y 13.022 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.022 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 13.022 * [taylor]: Taking taylor expansion of x in x 13.022 * [backup-simplify]: Simplify 0 into 0 13.022 * [backup-simplify]: Simplify 1 into 1 13.022 * [taylor]: Taking taylor expansion of (+ x y) in x 13.022 * [taylor]: Taking taylor expansion of x in x 13.022 * [backup-simplify]: Simplify 0 into 0 13.022 * [backup-simplify]: Simplify 1 into 1 13.022 * [taylor]: Taking taylor expansion of y in x 13.022 * [backup-simplify]: Simplify y into y 13.022 * [backup-simplify]: Simplify (+ 0 y) into y 13.022 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.022 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.022 * [taylor]: Taking taylor expansion of y in y 13.022 * [backup-simplify]: Simplify 0 into 0 13.022 * [backup-simplify]: Simplify 1 into 1 13.023 * [backup-simplify]: Simplify (/ 1 1) into 1 13.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.023 * [backup-simplify]: Simplify 0 into 0 13.023 * [backup-simplify]: Simplify (+ 1 0) into 1 13.024 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 13.024 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 13.024 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.024 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.024 * [taylor]: Taking taylor expansion of y in y 13.024 * [backup-simplify]: Simplify 0 into 0 13.024 * [backup-simplify]: Simplify 1 into 1 13.027 * [backup-simplify]: Simplify (* 1 1) into 1 13.028 * [backup-simplify]: Simplify (/ 1 1) into 1 13.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.030 * [backup-simplify]: Simplify (- 0) into 0 13.030 * [backup-simplify]: Simplify 0 into 0 13.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.031 * [backup-simplify]: Simplify 0 into 0 13.031 * [backup-simplify]: Simplify (+ 0 0) into 0 13.031 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 13.031 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 13.031 * [taylor]: Taking taylor expansion of (pow y 3) in y 13.031 * [taylor]: Taking taylor expansion of y in y 13.031 * [backup-simplify]: Simplify 0 into 0 13.032 * [backup-simplify]: Simplify 1 into 1 13.032 * [backup-simplify]: Simplify (* 1 1) into 1 13.032 * [backup-simplify]: Simplify (* 1 1) into 1 13.032 * [backup-simplify]: Simplify (/ 1 1) into 1 13.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.040 * [backup-simplify]: Simplify 0 into 0 13.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.043 * [backup-simplify]: Simplify (- 0) into 0 13.043 * [backup-simplify]: Simplify 0 into 0 13.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.044 * [backup-simplify]: Simplify 0 into 0 13.044 * [backup-simplify]: Simplify 0 into 0 13.044 * [backup-simplify]: Simplify (* (sqrt (/ (/ 1 x) (+ (/ 1 x) (/ 1 y)))) (sqrt (/ (/ 1 x) (+ (/ 1 x) (/ 1 y))))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 13.044 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 13.044 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 13.044 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 13.044 * [taylor]: Taking taylor expansion of x in y 13.044 * [backup-simplify]: Simplify x into x 13.045 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 13.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.045 * [taylor]: Taking taylor expansion of y in y 13.045 * [backup-simplify]: Simplify 0 into 0 13.045 * [backup-simplify]: Simplify 1 into 1 13.045 * [backup-simplify]: Simplify (/ 1 1) into 1 13.045 * [taylor]: Taking taylor expansion of (/ 1 x) in y 13.045 * [taylor]: Taking taylor expansion of x in y 13.045 * [backup-simplify]: Simplify x into x 13.045 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.046 * [backup-simplify]: Simplify (+ 1 0) into 1 13.046 * [backup-simplify]: Simplify (* x 1) into x 13.046 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.046 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 13.046 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 13.046 * [taylor]: Taking taylor expansion of x in x 13.046 * [backup-simplify]: Simplify 0 into 0 13.046 * [backup-simplify]: Simplify 1 into 1 13.046 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.046 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.046 * [taylor]: Taking taylor expansion of y in x 13.046 * [backup-simplify]: Simplify y into y 13.046 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.046 * [taylor]: Taking taylor expansion of x in x 13.046 * [backup-simplify]: Simplify 0 into 0 13.046 * [backup-simplify]: Simplify 1 into 1 13.047 * [backup-simplify]: Simplify (/ 1 1) into 1 13.047 * [backup-simplify]: Simplify (+ 0 1) into 1 13.048 * [backup-simplify]: Simplify (* 0 1) into 0 13.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.048 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.049 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 13.049 * [backup-simplify]: Simplify (/ 1 1) into 1 13.049 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 13.049 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 13.049 * [taylor]: Taking taylor expansion of x in x 13.049 * [backup-simplify]: Simplify 0 into 0 13.049 * [backup-simplify]: Simplify 1 into 1 13.049 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.049 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.049 * [taylor]: Taking taylor expansion of y in x 13.049 * [backup-simplify]: Simplify y into y 13.049 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.049 * [taylor]: Taking taylor expansion of x in x 13.049 * [backup-simplify]: Simplify 0 into 0 13.049 * [backup-simplify]: Simplify 1 into 1 13.050 * [backup-simplify]: Simplify (/ 1 1) into 1 13.050 * [backup-simplify]: Simplify (+ 0 1) into 1 13.050 * [backup-simplify]: Simplify (* 0 1) into 0 13.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.051 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.051 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 13.051 * [backup-simplify]: Simplify (/ 1 1) into 1 13.051 * [taylor]: Taking taylor expansion of 1 in y 13.051 * [backup-simplify]: Simplify 1 into 1 13.051 * [backup-simplify]: Simplify 0 into 0 13.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 13.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.052 * [backup-simplify]: Simplify (+ 0 0) into 0 13.053 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 13.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 13.053 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 13.053 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.053 * [taylor]: Taking taylor expansion of y in y 13.053 * [backup-simplify]: Simplify 0 into 0 13.053 * [backup-simplify]: Simplify 1 into 1 13.053 * [backup-simplify]: Simplify (/ 1 1) into 1 13.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.054 * [backup-simplify]: Simplify (- 0) into 0 13.054 * [backup-simplify]: Simplify 0 into 0 13.055 * [backup-simplify]: Simplify 0 into 0 13.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 13.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.055 * [backup-simplify]: Simplify (+ 0 0) into 0 13.056 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 13.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 13.057 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.057 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.057 * [taylor]: Taking taylor expansion of y in y 13.057 * [backup-simplify]: Simplify 0 into 0 13.057 * [backup-simplify]: Simplify 1 into 1 13.057 * [backup-simplify]: Simplify (* 1 1) into 1 13.057 * [backup-simplify]: Simplify (/ 1 1) into 1 13.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.060 * [backup-simplify]: Simplify 0 into 0 13.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.061 * [backup-simplify]: Simplify (- 0) into 0 13.061 * [backup-simplify]: Simplify 0 into 0 13.061 * [backup-simplify]: Simplify 0 into 0 13.061 * [backup-simplify]: Simplify 0 into 0 13.061 * [backup-simplify]: Simplify (* (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y))))) (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y)))))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 13.061 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 13.061 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 13.061 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 13.061 * [taylor]: Taking taylor expansion of x in y 13.061 * [backup-simplify]: Simplify x into x 13.061 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 13.061 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.061 * [taylor]: Taking taylor expansion of y in y 13.061 * [backup-simplify]: Simplify 0 into 0 13.061 * [backup-simplify]: Simplify 1 into 1 13.062 * [backup-simplify]: Simplify (/ 1 1) into 1 13.062 * [taylor]: Taking taylor expansion of (/ 1 x) in y 13.062 * [taylor]: Taking taylor expansion of x in y 13.062 * [backup-simplify]: Simplify x into x 13.062 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.062 * [backup-simplify]: Simplify (+ 1 0) into 1 13.062 * [backup-simplify]: Simplify (* x 1) into x 13.062 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.062 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 13.062 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 13.062 * [taylor]: Taking taylor expansion of x in x 13.062 * [backup-simplify]: Simplify 0 into 0 13.062 * [backup-simplify]: Simplify 1 into 1 13.062 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.062 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.062 * [taylor]: Taking taylor expansion of y in x 13.062 * [backup-simplify]: Simplify y into y 13.062 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.062 * [taylor]: Taking taylor expansion of x in x 13.062 * [backup-simplify]: Simplify 0 into 0 13.062 * [backup-simplify]: Simplify 1 into 1 13.063 * [backup-simplify]: Simplify (/ 1 1) into 1 13.063 * [backup-simplify]: Simplify (+ 0 1) into 1 13.063 * [backup-simplify]: Simplify (* 0 1) into 0 13.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.064 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.064 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 13.064 * [backup-simplify]: Simplify (/ 1 1) into 1 13.064 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 13.064 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 13.064 * [taylor]: Taking taylor expansion of x in x 13.064 * [backup-simplify]: Simplify 0 into 0 13.064 * [backup-simplify]: Simplify 1 into 1 13.064 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.064 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.064 * [taylor]: Taking taylor expansion of y in x 13.064 * [backup-simplify]: Simplify y into y 13.064 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.065 * [taylor]: Taking taylor expansion of x in x 13.065 * [backup-simplify]: Simplify 0 into 0 13.065 * [backup-simplify]: Simplify 1 into 1 13.065 * [backup-simplify]: Simplify (/ 1 1) into 1 13.065 * [backup-simplify]: Simplify (+ 0 1) into 1 13.065 * [backup-simplify]: Simplify (* 0 1) into 0 13.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.066 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.066 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 13.067 * [backup-simplify]: Simplify (/ 1 1) into 1 13.067 * [taylor]: Taking taylor expansion of 1 in y 13.067 * [backup-simplify]: Simplify 1 into 1 13.067 * [backup-simplify]: Simplify 0 into 0 13.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 13.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.067 * [backup-simplify]: Simplify (+ 0 0) into 0 13.068 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 13.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 13.068 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 13.068 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.068 * [taylor]: Taking taylor expansion of y in y 13.068 * [backup-simplify]: Simplify 0 into 0 13.068 * [backup-simplify]: Simplify 1 into 1 13.068 * [backup-simplify]: Simplify (/ 1 1) into 1 13.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.070 * [backup-simplify]: Simplify (- 0) into 0 13.070 * [backup-simplify]: Simplify 0 into 0 13.070 * [backup-simplify]: Simplify 0 into 0 13.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 13.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.071 * [backup-simplify]: Simplify (+ 0 0) into 0 13.071 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 13.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 13.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.072 * [taylor]: Taking taylor expansion of y in y 13.072 * [backup-simplify]: Simplify 0 into 0 13.072 * [backup-simplify]: Simplify 1 into 1 13.072 * [backup-simplify]: Simplify (* 1 1) into 1 13.072 * [backup-simplify]: Simplify (/ 1 1) into 1 13.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.075 * [backup-simplify]: Simplify 0 into 0 13.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.076 * [backup-simplify]: Simplify (- 0) into 0 13.076 * [backup-simplify]: Simplify 0 into 0 13.076 * [backup-simplify]: Simplify 0 into 0 13.076 * [backup-simplify]: Simplify 0 into 0 13.076 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 13.076 * [backup-simplify]: Simplify (/ x (+ x y)) into (/ x (+ x y)) 13.076 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 13.076 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 13.076 * [taylor]: Taking taylor expansion of x in y 13.076 * [backup-simplify]: Simplify x into x 13.076 * [taylor]: Taking taylor expansion of (+ x y) in y 13.076 * [taylor]: Taking taylor expansion of x in y 13.076 * [backup-simplify]: Simplify x into x 13.076 * [taylor]: Taking taylor expansion of y in y 13.076 * [backup-simplify]: Simplify 0 into 0 13.076 * [backup-simplify]: Simplify 1 into 1 13.076 * [backup-simplify]: Simplify (+ x 0) into x 13.077 * [backup-simplify]: Simplify (/ x x) into 1 13.077 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 13.077 * [taylor]: Taking taylor expansion of x in x 13.077 * [backup-simplify]: Simplify 0 into 0 13.077 * [backup-simplify]: Simplify 1 into 1 13.077 * [taylor]: Taking taylor expansion of (+ x y) in x 13.077 * [taylor]: Taking taylor expansion of x in x 13.077 * [backup-simplify]: Simplify 0 into 0 13.077 * [backup-simplify]: Simplify 1 into 1 13.077 * [taylor]: Taking taylor expansion of y in x 13.077 * [backup-simplify]: Simplify y into y 13.077 * [backup-simplify]: Simplify (+ 0 y) into y 13.077 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.077 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 13.077 * [taylor]: Taking taylor expansion of x in x 13.077 * [backup-simplify]: Simplify 0 into 0 13.077 * [backup-simplify]: Simplify 1 into 1 13.077 * [taylor]: Taking taylor expansion of (+ x y) in x 13.077 * [taylor]: Taking taylor expansion of x in x 13.077 * [backup-simplify]: Simplify 0 into 0 13.077 * [backup-simplify]: Simplify 1 into 1 13.077 * [taylor]: Taking taylor expansion of y in x 13.077 * [backup-simplify]: Simplify y into y 13.077 * [backup-simplify]: Simplify (+ 0 y) into y 13.077 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.077 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.077 * [taylor]: Taking taylor expansion of y in y 13.077 * [backup-simplify]: Simplify 0 into 0 13.077 * [backup-simplify]: Simplify 1 into 1 13.077 * [backup-simplify]: Simplify (/ 1 1) into 1 13.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.078 * [backup-simplify]: Simplify 0 into 0 13.078 * [backup-simplify]: Simplify (+ 1 0) into 1 13.078 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 13.078 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 13.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.078 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.078 * [taylor]: Taking taylor expansion of y in y 13.078 * [backup-simplify]: Simplify 0 into 0 13.078 * [backup-simplify]: Simplify 1 into 1 13.079 * [backup-simplify]: Simplify (* 1 1) into 1 13.079 * [backup-simplify]: Simplify (/ 1 1) into 1 13.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.081 * [backup-simplify]: Simplify (- 0) into 0 13.081 * [backup-simplify]: Simplify 0 into 0 13.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.081 * [backup-simplify]: Simplify 0 into 0 13.082 * [backup-simplify]: Simplify (+ 0 0) into 0 13.082 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 13.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 13.082 * [taylor]: Taking taylor expansion of (pow y 3) in y 13.082 * [taylor]: Taking taylor expansion of y in y 13.082 * [backup-simplify]: Simplify 0 into 0 13.082 * [backup-simplify]: Simplify 1 into 1 13.082 * [backup-simplify]: Simplify (* 1 1) into 1 13.082 * [backup-simplify]: Simplify (* 1 1) into 1 13.083 * [backup-simplify]: Simplify (/ 1 1) into 1 13.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.088 * [backup-simplify]: Simplify 0 into 0 13.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.091 * [backup-simplify]: Simplify (- 0) into 0 13.091 * [backup-simplify]: Simplify 0 into 0 13.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.092 * [backup-simplify]: Simplify 0 into 0 13.092 * [backup-simplify]: Simplify 0 into 0 13.092 * [backup-simplify]: Simplify (/ (/ 1 x) (+ (/ 1 x) (/ 1 y))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 13.092 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 13.092 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 13.092 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 13.092 * [taylor]: Taking taylor expansion of x in y 13.092 * [backup-simplify]: Simplify x into x 13.092 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 13.092 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.092 * [taylor]: Taking taylor expansion of y in y 13.092 * [backup-simplify]: Simplify 0 into 0 13.092 * [backup-simplify]: Simplify 1 into 1 13.093 * [backup-simplify]: Simplify (/ 1 1) into 1 13.093 * [taylor]: Taking taylor expansion of (/ 1 x) in y 13.093 * [taylor]: Taking taylor expansion of x in y 13.093 * [backup-simplify]: Simplify x into x 13.093 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.093 * [backup-simplify]: Simplify (+ 1 0) into 1 13.093 * [backup-simplify]: Simplify (* x 1) into x 13.093 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.093 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 13.093 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 13.093 * [taylor]: Taking taylor expansion of x in x 13.094 * [backup-simplify]: Simplify 0 into 0 13.094 * [backup-simplify]: Simplify 1 into 1 13.094 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.094 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.094 * [taylor]: Taking taylor expansion of y in x 13.094 * [backup-simplify]: Simplify y into y 13.094 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.094 * [taylor]: Taking taylor expansion of x in x 13.094 * [backup-simplify]: Simplify 0 into 0 13.094 * [backup-simplify]: Simplify 1 into 1 13.094 * [backup-simplify]: Simplify (/ 1 1) into 1 13.095 * [backup-simplify]: Simplify (+ 0 1) into 1 13.095 * [backup-simplify]: Simplify (* 0 1) into 0 13.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.096 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.096 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 13.097 * [backup-simplify]: Simplify (/ 1 1) into 1 13.097 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 13.097 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 13.097 * [taylor]: Taking taylor expansion of x in x 13.097 * [backup-simplify]: Simplify 0 into 0 13.097 * [backup-simplify]: Simplify 1 into 1 13.097 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.097 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.097 * [taylor]: Taking taylor expansion of y in x 13.097 * [backup-simplify]: Simplify y into y 13.097 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.097 * [taylor]: Taking taylor expansion of x in x 13.097 * [backup-simplify]: Simplify 0 into 0 13.097 * [backup-simplify]: Simplify 1 into 1 13.097 * [backup-simplify]: Simplify (/ 1 1) into 1 13.098 * [backup-simplify]: Simplify (+ 0 1) into 1 13.098 * [backup-simplify]: Simplify (* 0 1) into 0 13.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.099 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.099 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 13.100 * [backup-simplify]: Simplify (/ 1 1) into 1 13.100 * [taylor]: Taking taylor expansion of 1 in y 13.100 * [backup-simplify]: Simplify 1 into 1 13.100 * [backup-simplify]: Simplify 0 into 0 13.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 13.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.101 * [backup-simplify]: Simplify (+ 0 0) into 0 13.102 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 13.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 13.103 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 13.103 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.103 * [taylor]: Taking taylor expansion of y in y 13.103 * [backup-simplify]: Simplify 0 into 0 13.103 * [backup-simplify]: Simplify 1 into 1 13.103 * [backup-simplify]: Simplify (/ 1 1) into 1 13.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.105 * [backup-simplify]: Simplify (- 0) into 0 13.105 * [backup-simplify]: Simplify 0 into 0 13.105 * [backup-simplify]: Simplify 0 into 0 13.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 13.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.106 * [backup-simplify]: Simplify (+ 0 0) into 0 13.107 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 13.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 13.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.107 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.107 * [taylor]: Taking taylor expansion of y in y 13.107 * [backup-simplify]: Simplify 0 into 0 13.107 * [backup-simplify]: Simplify 1 into 1 13.107 * [backup-simplify]: Simplify (* 1 1) into 1 13.108 * [backup-simplify]: Simplify (/ 1 1) into 1 13.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.111 * [backup-simplify]: Simplify 0 into 0 13.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.112 * [backup-simplify]: Simplify (- 0) into 0 13.112 * [backup-simplify]: Simplify 0 into 0 13.112 * [backup-simplify]: Simplify 0 into 0 13.112 * [backup-simplify]: Simplify 0 into 0 13.112 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 13.112 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 13.112 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 13.112 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 13.112 * [taylor]: Taking taylor expansion of x in y 13.112 * [backup-simplify]: Simplify x into x 13.112 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 13.112 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.112 * [taylor]: Taking taylor expansion of y in y 13.112 * [backup-simplify]: Simplify 0 into 0 13.112 * [backup-simplify]: Simplify 1 into 1 13.112 * [backup-simplify]: Simplify (/ 1 1) into 1 13.112 * [taylor]: Taking taylor expansion of (/ 1 x) in y 13.112 * [taylor]: Taking taylor expansion of x in y 13.112 * [backup-simplify]: Simplify x into x 13.112 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.113 * [backup-simplify]: Simplify (+ 1 0) into 1 13.113 * [backup-simplify]: Simplify (* x 1) into x 13.113 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.113 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 13.113 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 13.113 * [taylor]: Taking taylor expansion of x in x 13.113 * [backup-simplify]: Simplify 0 into 0 13.113 * [backup-simplify]: Simplify 1 into 1 13.113 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.113 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.113 * [taylor]: Taking taylor expansion of y in x 13.113 * [backup-simplify]: Simplify y into y 13.113 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.113 * [taylor]: Taking taylor expansion of x in x 13.113 * [backup-simplify]: Simplify 0 into 0 13.113 * [backup-simplify]: Simplify 1 into 1 13.113 * [backup-simplify]: Simplify (/ 1 1) into 1 13.114 * [backup-simplify]: Simplify (+ 0 1) into 1 13.114 * [backup-simplify]: Simplify (* 0 1) into 0 13.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.114 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.115 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 13.115 * [backup-simplify]: Simplify (/ 1 1) into 1 13.115 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 13.115 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 13.115 * [taylor]: Taking taylor expansion of x in x 13.115 * [backup-simplify]: Simplify 0 into 0 13.115 * [backup-simplify]: Simplify 1 into 1 13.115 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.115 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.115 * [taylor]: Taking taylor expansion of y in x 13.115 * [backup-simplify]: Simplify y into y 13.115 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.115 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.115 * [taylor]: Taking taylor expansion of x in x 13.115 * [backup-simplify]: Simplify 0 into 0 13.115 * [backup-simplify]: Simplify 1 into 1 13.115 * [backup-simplify]: Simplify (/ 1 1) into 1 13.116 * [backup-simplify]: Simplify (+ 0 1) into 1 13.116 * [backup-simplify]: Simplify (* 0 1) into 0 13.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.116 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.117 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 13.117 * [backup-simplify]: Simplify (/ 1 1) into 1 13.117 * [taylor]: Taking taylor expansion of 1 in y 13.117 * [backup-simplify]: Simplify 1 into 1 13.117 * [backup-simplify]: Simplify 0 into 0 13.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 13.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.118 * [backup-simplify]: Simplify (+ 0 0) into 0 13.118 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 13.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 13.118 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 13.118 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.118 * [taylor]: Taking taylor expansion of y in y 13.119 * [backup-simplify]: Simplify 0 into 0 13.119 * [backup-simplify]: Simplify 1 into 1 13.119 * [backup-simplify]: Simplify (/ 1 1) into 1 13.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.120 * [backup-simplify]: Simplify (- 0) into 0 13.120 * [backup-simplify]: Simplify 0 into 0 13.120 * [backup-simplify]: Simplify 0 into 0 13.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 13.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.121 * [backup-simplify]: Simplify (+ 0 0) into 0 13.122 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 13.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 13.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.122 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.122 * [taylor]: Taking taylor expansion of y in y 13.122 * [backup-simplify]: Simplify 0 into 0 13.122 * [backup-simplify]: Simplify 1 into 1 13.123 * [backup-simplify]: Simplify (* 1 1) into 1 13.123 * [backup-simplify]: Simplify (/ 1 1) into 1 13.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.126 * [backup-simplify]: Simplify 0 into 0 13.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.127 * [backup-simplify]: Simplify (- 0) into 0 13.127 * [backup-simplify]: Simplify 0 into 0 13.127 * [backup-simplify]: Simplify 0 into 0 13.127 * [backup-simplify]: Simplify 0 into 0 13.127 * * * [progress]: simplifying candidates 13.135 * [simplify]: Simplifying: (expm1 (sqrt (/ x (+ x y)))) (log1p (sqrt (/ x (+ x y)))) (log (sqrt (/ x (+ x y)))) (exp (sqrt (/ x (+ x y)))) (* (cbrt (sqrt (/ x (+ x y)))) (cbrt (sqrt (/ x 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(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 1 1 0 1 1 0 0 0 0 0 0 13.144 * * [simplify]: Extracting # 0 : cost 0 13.144 * * [simplify]: Extracting # 1 : cost 0 13.145 * * [simplify]: Extracting # 2 : cost 0 13.145 * * [simplify]: Extracting # 3 : cost 0 13.145 * * [simplify]: Extracting # 4 : cost 0 13.146 * * [simplify]: Extracting # 5 : cost 0 13.146 * * [simplify]: Extracting # 6 : cost 0 13.147 * * [simplify]: Extracting # 7 : cost 0 13.148 * * [simplify]: iteration 0 : 183 enodes (cost 3207 ) 13.205 * * [simplify]: Extracting # 0 : cost 0 13.206 * * [simplify]: Extracting # 1 : cost 0 13.207 * * [simplify]: Extracting # 2 : cost 0 13.207 * * [simplify]: Extracting # 3 : cost 0 13.208 * * [simplify]: Extracting # 4 : cost 0 13.209 * * [simplify]: iteration 1 : 298 enodes (cost 2251 ) 13.317 * * [simplify]: Extracting # 0 : cost 0 13.319 * * [simplify]: Extracting # 1 : cost 0 13.321 * * [simplify]: Extracting # 2 : cost 0 13.323 * * [simplify]: Extracting # 3 : cost 0 13.325 * * [simplify]: Extracting # 4 : cost 0 13.327 * * [simplify]: iteration 2 : 911 enodes (cost 2129 ) 13.990 * * [simplify]: Extracting # 0 : cost 0 13.995 * * [simplify]: Extracting # 1 : cost 0 14.000 * * [simplify]: Extracting # 2 : cost 0 14.005 * * [simplify]: Extracting # 3 : cost 0 14.009 * * [simplify]: Extracting # 4 : cost 0 14.014 * * [simplify]: Extracting # 5 : cost 0 14.018 * * [simplify]: iteration 3 : 2299 enodes (cost 2090 ) 15.099 * * [simplify]: Extracting # 0 : cost 0 15.106 * * [simplify]: Extracting # 1 : cost 0 15.116 * * [simplify]: Extracting # 2 : cost 0 15.121 * * [simplify]: Extracting # 3 : cost 0 15.127 * * [simplify]: Extracting # 4 : cost 0 15.134 * * [simplify]: iteration done: 5000 enodes (cost 2062 ) 15.136 * [simplify]: Simplified to: (expm1 (sqrt (/ x (+ x y)))) (log1p (sqrt (/ x (+ x y)))) (log (sqrt (/ x (+ x y)))) (exp (sqrt 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