24.194 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying: (/ x (+ x y)) 0.020 * * [simplify]: Extracting # 0 : cost 0 0.020 * * [simplify]: Extracting # 1 : cost 0 0.020 * * [simplify]: Extracting # 2 : cost 0 0.020 * * [simplify]: Extracting # 3 : cost 0 0.020 * * [simplify]: Extracting # 4 : cost 0 0.020 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.020 * * [simplify]: Extracting # 0 : cost 0 0.020 * * [simplify]: iteration 1 : 5 enodes (cost 5 ) 0.021 * * [simplify]: Extracting # 0 : cost 0 0.021 * * [simplify]: iteration done: 5 enodes (cost 5 ) 0.021 * [simplify]: Simplified to: (/ x (+ x y)) 0.021 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.052 * * * [progress]: generating series expansions 0.052 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.052 * [backup-simplify]: Simplify (/ x (+ x y)) into (/ x (+ x y)) 0.052 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.052 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.053 * [backup-simplify]: Simplify x into x 0.053 * [taylor]: Taking taylor expansion of (+ x y) in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [backup-simplify]: Simplify x into x 0.053 * [taylor]: Taking taylor expansion of y in y 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify (+ x 0) into x 0.053 * [backup-simplify]: Simplify (/ x x) into 1 0.053 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [taylor]: Taking taylor expansion of (+ x y) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [backup-simplify]: Simplify y into y 0.053 * [backup-simplify]: Simplify (+ 0 y) into y 0.053 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.053 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [taylor]: Taking taylor expansion of (+ x y) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [backup-simplify]: Simplify y into y 0.054 * [backup-simplify]: Simplify (+ 0 y) into y 0.054 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [backup-simplify]: Simplify (/ 1 1) into 1 0.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify (+ 1 0) into 1 0.056 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.056 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.056 * [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 0.057 * [backup-simplify]: Simplify (* 1 1) into 1 0.057 * [backup-simplify]: Simplify (/ 1 1) into 1 0.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.060 * [backup-simplify]: Simplify (- 0) into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify (+ 0 0) into 0 0.062 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.062 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.063 * [backup-simplify]: Simplify (* 1 1) into 1 0.063 * [backup-simplify]: Simplify (* 1 1) into 1 0.063 * [backup-simplify]: Simplify (/ 1 1) into 1 0.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (- 0) into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (/ (/ 1 x) (+ (/ 1 x) (/ 1 y))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.075 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.075 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.075 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.075 * [taylor]: Taking taylor expansion of x in y 0.075 * [backup-simplify]: Simplify x into x 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [backup-simplify]: Simplify (/ 1 1) into 1 0.076 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.076 * [taylor]: Taking taylor expansion of x in y 0.076 * [backup-simplify]: Simplify x into x 0.076 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.077 * [backup-simplify]: Simplify (+ 1 0) into 1 0.077 * [backup-simplify]: Simplify (* x 1) into x 0.077 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.077 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.077 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [backup-simplify]: Simplify y into y 0.077 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.077 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [backup-simplify]: Simplify (/ 1 1) into 1 0.078 * [backup-simplify]: Simplify (+ 0 1) into 1 0.078 * [backup-simplify]: Simplify (* 0 1) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.080 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.080 * [backup-simplify]: Simplify (/ 1 1) into 1 0.080 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.080 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [backup-simplify]: Simplify y into y 0.080 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (/ 1 1) into 1 0.082 * [backup-simplify]: Simplify (+ 0 1) into 1 0.082 * [backup-simplify]: Simplify (* 0 1) into 0 0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.084 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.084 * [backup-simplify]: Simplify (/ 1 1) into 1 0.084 * [taylor]: Taking taylor expansion of 1 in y 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.087 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify (/ 1 1) into 1 0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify (- 0) into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.093 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.093 * [taylor]: Taking taylor expansion of y in y 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (* 1 1) into 1 0.094 * [backup-simplify]: Simplify (/ 1 1) into 1 0.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (- 0) into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.098 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.098 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.098 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.098 * [taylor]: Taking taylor expansion of x in y 0.098 * [backup-simplify]: Simplify x into x 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.098 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.098 * [taylor]: Taking taylor expansion of y in y 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (/ 1 1) into 1 0.098 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.098 * [taylor]: Taking taylor expansion of x in y 0.098 * [backup-simplify]: Simplify x into x 0.098 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.098 * [backup-simplify]: Simplify (+ 1 0) into 1 0.098 * [backup-simplify]: Simplify (* x 1) into x 0.098 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.098 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.098 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.099 * [taylor]: Taking taylor expansion of y in x 0.099 * [backup-simplify]: Simplify y into y 0.099 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.099 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (/ 1 1) into 1 0.099 * [backup-simplify]: Simplify (+ 0 1) into 1 0.099 * [backup-simplify]: Simplify (* 0 1) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.100 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.100 * [backup-simplify]: Simplify (/ 1 1) into 1 0.100 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.100 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [backup-simplify]: Simplify y into y 0.101 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (/ 1 1) into 1 0.101 * [backup-simplify]: Simplify (+ 0 1) into 1 0.101 * [backup-simplify]: Simplify (* 0 1) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.102 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.102 * [backup-simplify]: Simplify (/ 1 1) into 1 0.102 * [taylor]: Taking taylor expansion of 1 in y 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.104 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.104 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (/ 1 1) into 1 0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (- 0) into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.108 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.108 * [taylor]: Taking taylor expansion of y in y 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (* 1 1) into 1 0.108 * [backup-simplify]: Simplify (/ 1 1) into 1 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (- 0) into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * * * [progress]: simplifying candidates 0.113 * [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 0.113 * * [simplify]: Extracting # 0 : cost 0 0.113 * * [simplify]: Extracting # 1 : cost 0 0.113 * * [simplify]: Extracting # 2 : cost 0 0.113 * * [simplify]: Extracting # 3 : cost 0 0.114 * * [simplify]: Extracting # 4 : cost 0 0.114 * * [simplify]: Extracting # 5 : cost 0 0.114 * * [simplify]: Extracting # 6 : cost 0 0.114 * * [simplify]: Extracting # 7 : cost 0 0.114 * * [simplify]: iteration 0 : 61 enodes (cost 336 ) 0.129 * * [simplify]: Extracting # 0 : cost 0 0.130 * * [simplify]: Extracting # 1 : cost 0 0.130 * * [simplify]: Extracting # 2 : cost 0 0.130 * * [simplify]: Extracting # 3 : cost 0 0.130 * * [simplify]: iteration 1 : 122 enodes (cost 317 ) 0.175 * * [simplify]: Extracting # 0 : cost 0 0.175 * * [simplify]: Extracting # 1 : cost 0 0.176 * * [simplify]: Extracting # 2 : cost 0 0.176 * * [simplify]: Extracting # 3 : cost 0 0.176 * * [simplify]: Extracting # 4 : cost 0 0.176 * * [simplify]: iteration 2 : 286 enodes (cost 299 ) 0.269 * * [simplify]: Extracting # 0 : cost 0 0.270 * * [simplify]: Extracting # 1 : cost 0 0.271 * * [simplify]: Extracting # 2 : cost 0 0.272 * * [simplify]: Extracting # 3 : cost 0 0.273 * * [simplify]: iteration 3 : 587 enodes (cost 299 ) 0.663 * * [simplify]: Extracting # 0 : cost 0 0.666 * * [simplify]: Extracting # 1 : cost 0 0.669 * * [simplify]: Extracting # 2 : cost 0 0.672 * * [simplify]: Extracting # 3 : cost 0 0.674 * * [simplify]: Extracting # 4 : cost 0 0.677 * * [simplify]: iteration 4 : 1573 enodes (cost 299 ) 3.485 * * [simplify]: Extracting # 0 : cost 0 3.498 * * [simplify]: Extracting # 1 : cost 0 3.507 * * [simplify]: Extracting # 2 : cost 0 3.516 * * [simplify]: Extracting # 3 : cost 0 3.524 * * [simplify]: Extracting # 4 : cost 0 3.533 * * [simplify]: iteration done: 5000 enodes (cost 299 ) 3.533 * [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 3.534 * * * [progress]: adding candidates to table 3.629 * * [progress]: iteration 2 / 4 3.629 * * * [progress]: picking best candidate 3.637 * * * * [pick]: Picked # 3.637 * * * [progress]: localizing error 3.649 * * * [progress]: generating rewritten candidates 3.649 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.699 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 3.714 * * * [progress]: generating series expansions 3.714 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.714 * [backup-simplify]: Simplify (* x (/ 1 (+ x y))) into (/ x (+ x y)) 3.714 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 3.714 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 3.714 * [taylor]: Taking taylor expansion of x in y 3.714 * [backup-simplify]: Simplify x into x 3.715 * [taylor]: Taking taylor expansion of (+ x y) in y 3.715 * [taylor]: Taking taylor expansion of x in y 3.715 * [backup-simplify]: Simplify x into x 3.715 * [taylor]: Taking taylor expansion of y in y 3.715 * [backup-simplify]: Simplify 0 into 0 3.715 * [backup-simplify]: Simplify 1 into 1 3.715 * [backup-simplify]: Simplify (+ x 0) into x 3.715 * [backup-simplify]: Simplify (/ x x) into 1 3.715 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 3.715 * [taylor]: Taking taylor expansion of x in x 3.715 * [backup-simplify]: Simplify 0 into 0 3.715 * [backup-simplify]: Simplify 1 into 1 3.715 * [taylor]: Taking taylor expansion of (+ x y) in x 3.715 * [taylor]: Taking taylor expansion of x in x 3.715 * [backup-simplify]: Simplify 0 into 0 3.715 * [backup-simplify]: Simplify 1 into 1 3.715 * [taylor]: Taking taylor expansion of y in x 3.715 * [backup-simplify]: Simplify y into y 3.715 * [backup-simplify]: Simplify (+ 0 y) into y 3.715 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.715 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 3.715 * [taylor]: Taking taylor expansion of x in x 3.715 * [backup-simplify]: Simplify 0 into 0 3.715 * [backup-simplify]: Simplify 1 into 1 3.715 * [taylor]: Taking taylor expansion of (+ x y) in x 3.715 * [taylor]: Taking taylor expansion of x in x 3.715 * [backup-simplify]: Simplify 0 into 0 3.715 * [backup-simplify]: Simplify 1 into 1 3.715 * [taylor]: Taking taylor expansion of y in x 3.715 * [backup-simplify]: Simplify y into y 3.715 * [backup-simplify]: Simplify (+ 0 y) into y 3.715 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.715 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.715 * [taylor]: Taking taylor expansion of y in y 3.715 * [backup-simplify]: Simplify 0 into 0 3.715 * [backup-simplify]: Simplify 1 into 1 3.716 * [backup-simplify]: Simplify (/ 1 1) into 1 3.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.716 * [backup-simplify]: Simplify 0 into 0 3.717 * [backup-simplify]: Simplify (+ 1 0) into 1 3.717 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 3.717 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 3.717 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.717 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.717 * [taylor]: Taking taylor expansion of y in y 3.717 * [backup-simplify]: Simplify 0 into 0 3.717 * [backup-simplify]: Simplify 1 into 1 3.717 * [backup-simplify]: Simplify (* 1 1) into 1 3.717 * [backup-simplify]: Simplify (/ 1 1) into 1 3.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.720 * [backup-simplify]: Simplify (- 0) into 0 3.720 * [backup-simplify]: Simplify 0 into 0 3.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.720 * [backup-simplify]: Simplify 0 into 0 3.720 * [backup-simplify]: Simplify (+ 0 0) into 0 3.721 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 3.721 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 3.721 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.721 * [taylor]: Taking taylor expansion of y in y 3.721 * [backup-simplify]: Simplify 0 into 0 3.721 * [backup-simplify]: Simplify 1 into 1 3.721 * [backup-simplify]: Simplify (* 1 1) into 1 3.722 * [backup-simplify]: Simplify (* 1 1) into 1 3.722 * [backup-simplify]: Simplify (/ 1 1) into 1 3.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.730 * [backup-simplify]: Simplify 0 into 0 3.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.732 * [backup-simplify]: Simplify (- 0) into 0 3.732 * [backup-simplify]: Simplify 0 into 0 3.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.733 * [backup-simplify]: Simplify 0 into 0 3.733 * [backup-simplify]: Simplify 0 into 0 3.734 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 (+ (/ 1 x) (/ 1 y)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3.734 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 3.734 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 3.734 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 3.734 * [taylor]: Taking taylor expansion of x in y 3.734 * [backup-simplify]: Simplify x into x 3.734 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.734 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.734 * [taylor]: Taking taylor expansion of y in y 3.734 * [backup-simplify]: Simplify 0 into 0 3.734 * [backup-simplify]: Simplify 1 into 1 3.734 * [backup-simplify]: Simplify (/ 1 1) into 1 3.734 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.734 * [taylor]: Taking taylor expansion of x in y 3.735 * [backup-simplify]: Simplify x into x 3.735 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.735 * [backup-simplify]: Simplify (+ 1 0) into 1 3.735 * [backup-simplify]: Simplify (* x 1) into x 3.735 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.735 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 3.735 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 3.735 * [taylor]: Taking taylor expansion of x in x 3.735 * [backup-simplify]: Simplify 0 into 0 3.735 * [backup-simplify]: Simplify 1 into 1 3.735 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.735 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.735 * [taylor]: Taking taylor expansion of y in x 3.735 * [backup-simplify]: Simplify y into y 3.735 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.735 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.736 * [taylor]: Taking taylor expansion of x in x 3.736 * [backup-simplify]: Simplify 0 into 0 3.736 * [backup-simplify]: Simplify 1 into 1 3.736 * [backup-simplify]: Simplify (/ 1 1) into 1 3.736 * [backup-simplify]: Simplify (+ 0 1) into 1 3.737 * [backup-simplify]: Simplify (* 0 1) into 0 3.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.738 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.738 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 3.738 * [backup-simplify]: Simplify (/ 1 1) into 1 3.738 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 3.738 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 3.738 * [taylor]: Taking taylor expansion of x in x 3.739 * [backup-simplify]: Simplify 0 into 0 3.739 * [backup-simplify]: Simplify 1 into 1 3.739 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.739 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.739 * [taylor]: Taking taylor expansion of y in x 3.739 * [backup-simplify]: Simplify y into y 3.739 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.739 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.739 * [taylor]: Taking taylor expansion of x in x 3.739 * [backup-simplify]: Simplify 0 into 0 3.739 * [backup-simplify]: Simplify 1 into 1 3.745 * [backup-simplify]: Simplify (/ 1 1) into 1 3.745 * [backup-simplify]: Simplify (+ 0 1) into 1 3.746 * [backup-simplify]: Simplify (* 0 1) into 0 3.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.747 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.747 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 3.748 * [backup-simplify]: Simplify (/ 1 1) into 1 3.748 * [taylor]: Taking taylor expansion of 1 in y 3.748 * [backup-simplify]: Simplify 1 into 1 3.748 * [backup-simplify]: Simplify 0 into 0 3.748 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.749 * [backup-simplify]: Simplify (+ 0 0) into 0 3.750 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 3.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 3.750 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 3.750 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.750 * [taylor]: Taking taylor expansion of y in y 3.751 * [backup-simplify]: Simplify 0 into 0 3.751 * [backup-simplify]: Simplify 1 into 1 3.751 * [backup-simplify]: Simplify (/ 1 1) into 1 3.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.753 * [backup-simplify]: Simplify (- 0) into 0 3.753 * [backup-simplify]: Simplify 0 into 0 3.753 * [backup-simplify]: Simplify 0 into 0 3.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.754 * [backup-simplify]: Simplify (+ 0 0) into 0 3.756 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 3.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 3.757 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.757 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.757 * [taylor]: Taking taylor expansion of y in y 3.757 * [backup-simplify]: Simplify 0 into 0 3.757 * [backup-simplify]: Simplify 1 into 1 3.757 * [backup-simplify]: Simplify (* 1 1) into 1 3.757 * [backup-simplify]: Simplify (/ 1 1) into 1 3.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.762 * [backup-simplify]: Simplify 0 into 0 3.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.764 * [backup-simplify]: Simplify (- 0) into 0 3.764 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify (* (/ 1 (- x)) (/ 1 (+ (/ 1 (- x)) (/ 1 (- y))))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3.764 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 3.764 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 3.764 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 3.764 * [taylor]: Taking taylor expansion of x in y 3.764 * [backup-simplify]: Simplify x into x 3.764 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.764 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.764 * [taylor]: Taking taylor expansion of y in y 3.764 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify 1 into 1 3.765 * [backup-simplify]: Simplify (/ 1 1) into 1 3.765 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.765 * [taylor]: Taking taylor expansion of x in y 3.765 * [backup-simplify]: Simplify x into x 3.765 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.765 * [backup-simplify]: Simplify (+ 1 0) into 1 3.765 * [backup-simplify]: Simplify (* x 1) into x 3.766 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.766 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 3.766 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 3.766 * [taylor]: Taking taylor expansion of x in x 3.766 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify 1 into 1 3.766 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.766 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.766 * [taylor]: Taking taylor expansion of y in x 3.766 * [backup-simplify]: Simplify y into y 3.766 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.766 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.766 * [taylor]: Taking taylor expansion of x in x 3.766 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify 1 into 1 3.766 * [backup-simplify]: Simplify (/ 1 1) into 1 3.767 * [backup-simplify]: Simplify (+ 0 1) into 1 3.767 * [backup-simplify]: Simplify (* 0 1) into 0 3.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.768 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.769 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 3.769 * [backup-simplify]: Simplify (/ 1 1) into 1 3.769 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 3.769 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 3.769 * [taylor]: Taking taylor expansion of x in x 3.769 * [backup-simplify]: Simplify 0 into 0 3.769 * [backup-simplify]: Simplify 1 into 1 3.769 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.769 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.769 * [taylor]: Taking taylor expansion of y in x 3.769 * [backup-simplify]: Simplify y into y 3.769 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.769 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.769 * [taylor]: Taking taylor expansion of x in x 3.769 * [backup-simplify]: Simplify 0 into 0 3.770 * [backup-simplify]: Simplify 1 into 1 3.770 * [backup-simplify]: Simplify (/ 1 1) into 1 3.770 * [backup-simplify]: Simplify (+ 0 1) into 1 3.771 * [backup-simplify]: Simplify (* 0 1) into 0 3.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.772 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.772 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 3.772 * [backup-simplify]: Simplify (/ 1 1) into 1 3.772 * [taylor]: Taking taylor expansion of 1 in y 3.773 * [backup-simplify]: Simplify 1 into 1 3.773 * [backup-simplify]: Simplify 0 into 0 3.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.774 * [backup-simplify]: Simplify (+ 0 0) into 0 3.775 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 3.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 3.775 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 3.775 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.775 * [taylor]: Taking taylor expansion of y in y 3.775 * [backup-simplify]: Simplify 0 into 0 3.775 * [backup-simplify]: Simplify 1 into 1 3.775 * [backup-simplify]: Simplify (/ 1 1) into 1 3.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.777 * [backup-simplify]: Simplify (- 0) into 0 3.777 * [backup-simplify]: Simplify 0 into 0 3.778 * [backup-simplify]: Simplify 0 into 0 3.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.779 * [backup-simplify]: Simplify (+ 0 0) into 0 3.780 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 3.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 3.781 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.781 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.781 * [taylor]: Taking taylor expansion of y in y 3.781 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify 1 into 1 3.782 * [backup-simplify]: Simplify (* 1 1) into 1 3.782 * [backup-simplify]: Simplify (/ 1 1) into 1 3.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.787 * [backup-simplify]: Simplify 0 into 0 3.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.788 * [backup-simplify]: Simplify (- 0) into 0 3.788 * [backup-simplify]: Simplify 0 into 0 3.788 * [backup-simplify]: Simplify 0 into 0 3.789 * [backup-simplify]: Simplify 0 into 0 3.789 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 3.789 * [backup-simplify]: Simplify (/ 1 (+ x y)) into (/ 1 (+ x y)) 3.789 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (x y) around 0 3.789 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 3.789 * [taylor]: Taking taylor expansion of (+ x y) in y 3.789 * [taylor]: Taking taylor expansion of x in y 3.789 * [backup-simplify]: Simplify x into x 3.789 * [taylor]: Taking taylor expansion of y in y 3.789 * [backup-simplify]: Simplify 0 into 0 3.789 * [backup-simplify]: Simplify 1 into 1 3.789 * [backup-simplify]: Simplify (+ x 0) into x 3.789 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.789 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 3.789 * [taylor]: Taking taylor expansion of (+ x y) in x 3.789 * [taylor]: Taking taylor expansion of x in x 3.789 * [backup-simplify]: Simplify 0 into 0 3.789 * [backup-simplify]: Simplify 1 into 1 3.789 * [taylor]: Taking taylor expansion of y in x 3.789 * [backup-simplify]: Simplify y into y 3.789 * [backup-simplify]: Simplify (+ 0 y) into y 3.789 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.789 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 3.789 * [taylor]: Taking taylor expansion of (+ x y) in x 3.789 * [taylor]: Taking taylor expansion of x in x 3.789 * [backup-simplify]: Simplify 0 into 0 3.789 * [backup-simplify]: Simplify 1 into 1 3.789 * [taylor]: Taking taylor expansion of y in x 3.789 * [backup-simplify]: Simplify y into y 3.789 * [backup-simplify]: Simplify (+ 0 y) into y 3.789 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.789 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.789 * [taylor]: Taking taylor expansion of y in y 3.789 * [backup-simplify]: Simplify 0 into 0 3.789 * [backup-simplify]: Simplify 1 into 1 3.790 * [backup-simplify]: Simplify (/ 1 1) into 1 3.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.790 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify (+ 1 0) into 1 3.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 3.790 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 3.790 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.790 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.791 * [taylor]: Taking taylor expansion of y in y 3.791 * [backup-simplify]: Simplify 0 into 0 3.791 * [backup-simplify]: Simplify 1 into 1 3.791 * [backup-simplify]: Simplify (* 1 1) into 1 3.791 * [backup-simplify]: Simplify (/ 1 1) into 1 3.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.793 * [backup-simplify]: Simplify (- 0) into 0 3.793 * [backup-simplify]: Simplify 0 into 0 3.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.794 * [backup-simplify]: Simplify 0 into 0 3.794 * [backup-simplify]: Simplify (+ 0 0) into 0 3.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 3.794 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 3.794 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.794 * [taylor]: Taking taylor expansion of y in y 3.794 * [backup-simplify]: Simplify 0 into 0 3.794 * [backup-simplify]: Simplify 1 into 1 3.795 * [backup-simplify]: Simplify (* 1 1) into 1 3.795 * [backup-simplify]: Simplify (* 1 1) into 1 3.795 * [backup-simplify]: Simplify (/ 1 1) into 1 3.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.800 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.802 * [backup-simplify]: Simplify (- 0) into 0 3.802 * [backup-simplify]: Simplify 0 into 0 3.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.802 * [backup-simplify]: Simplify 0 into 0 3.802 * [backup-simplify]: Simplify 0 into 0 3.802 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 x) (/ 1 y))) into (/ 1 (+ (/ 1 y) (/ 1 x))) 3.802 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 3.802 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 3.802 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.802 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.802 * [taylor]: Taking taylor expansion of y in y 3.803 * [backup-simplify]: Simplify 0 into 0 3.803 * [backup-simplify]: Simplify 1 into 1 3.803 * [backup-simplify]: Simplify (/ 1 1) into 1 3.803 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.803 * [taylor]: Taking taylor expansion of x in y 3.803 * [backup-simplify]: Simplify x into x 3.803 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.803 * [backup-simplify]: Simplify (+ 1 0) into 1 3.803 * [backup-simplify]: Simplify (/ 1 1) into 1 3.803 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 3.803 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.803 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.803 * [taylor]: Taking taylor expansion of y in x 3.803 * [backup-simplify]: Simplify y into y 3.804 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.804 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.804 * [taylor]: Taking taylor expansion of x in x 3.804 * [backup-simplify]: Simplify 0 into 0 3.804 * [backup-simplify]: Simplify 1 into 1 3.804 * [backup-simplify]: Simplify (/ 1 1) into 1 3.804 * [backup-simplify]: Simplify (+ 0 1) into 1 3.804 * [backup-simplify]: Simplify (/ 1 1) into 1 3.804 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 3.804 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.804 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.804 * [taylor]: Taking taylor expansion of y in x 3.804 * [backup-simplify]: Simplify y into y 3.805 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.805 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.805 * [taylor]: Taking taylor expansion of x in x 3.805 * [backup-simplify]: Simplify 0 into 0 3.805 * [backup-simplify]: Simplify 1 into 1 3.805 * [backup-simplify]: Simplify (/ 1 1) into 1 3.805 * [backup-simplify]: Simplify (+ 0 1) into 1 3.805 * [backup-simplify]: Simplify (/ 1 1) into 1 3.805 * [taylor]: Taking taylor expansion of 1 in y 3.805 * [backup-simplify]: Simplify 1 into 1 3.805 * [backup-simplify]: Simplify 0 into 0 3.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.806 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 3.806 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 3.806 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.806 * [taylor]: Taking taylor expansion of y in y 3.806 * [backup-simplify]: Simplify 0 into 0 3.806 * [backup-simplify]: Simplify 1 into 1 3.806 * [backup-simplify]: Simplify (/ 1 1) into 1 3.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.808 * [backup-simplify]: Simplify (- 0) into 0 3.808 * [backup-simplify]: Simplify 0 into 0 3.808 * [backup-simplify]: Simplify 0 into 0 3.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.808 * [backup-simplify]: Simplify (+ 0 0) into 0 3.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 3.809 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.809 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.809 * [taylor]: Taking taylor expansion of y in y 3.809 * [backup-simplify]: Simplify 0 into 0 3.809 * [backup-simplify]: Simplify 1 into 1 3.809 * [backup-simplify]: Simplify (* 1 1) into 1 3.809 * [backup-simplify]: Simplify (/ 1 1) into 1 3.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.812 * [backup-simplify]: Simplify 0 into 0 3.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.813 * [backup-simplify]: Simplify (- 0) into 0 3.813 * [backup-simplify]: Simplify 0 into 0 3.813 * [backup-simplify]: Simplify 0 into 0 3.813 * [backup-simplify]: Simplify 0 into 0 3.813 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ -1 (+ (/ 1 y) (/ 1 x))) 3.813 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 3.813 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 3.813 * [taylor]: Taking taylor expansion of -1 in y 3.813 * [backup-simplify]: Simplify -1 into -1 3.813 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.813 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.813 * [taylor]: Taking taylor expansion of y in y 3.814 * [backup-simplify]: Simplify 0 into 0 3.814 * [backup-simplify]: Simplify 1 into 1 3.814 * [backup-simplify]: Simplify (/ 1 1) into 1 3.814 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.814 * [taylor]: Taking taylor expansion of x in y 3.814 * [backup-simplify]: Simplify x into x 3.814 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.814 * [backup-simplify]: Simplify (+ 1 0) into 1 3.814 * [backup-simplify]: Simplify (/ -1 1) into -1 3.814 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 3.814 * [taylor]: Taking taylor expansion of -1 in x 3.814 * [backup-simplify]: Simplify -1 into -1 3.814 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.815 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.815 * [taylor]: Taking taylor expansion of y in x 3.815 * [backup-simplify]: Simplify y into y 3.815 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.815 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.815 * [taylor]: Taking taylor expansion of x in x 3.815 * [backup-simplify]: Simplify 0 into 0 3.815 * [backup-simplify]: Simplify 1 into 1 3.815 * [backup-simplify]: Simplify (/ 1 1) into 1 3.815 * [backup-simplify]: Simplify (+ 0 1) into 1 3.815 * [backup-simplify]: Simplify (/ -1 1) into -1 3.815 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 3.815 * [taylor]: Taking taylor expansion of -1 in x 3.815 * [backup-simplify]: Simplify -1 into -1 3.815 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.816 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.816 * [taylor]: Taking taylor expansion of y in x 3.816 * [backup-simplify]: Simplify y into y 3.816 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.816 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.816 * [taylor]: Taking taylor expansion of x in x 3.816 * [backup-simplify]: Simplify 0 into 0 3.816 * [backup-simplify]: Simplify 1 into 1 3.816 * [backup-simplify]: Simplify (/ 1 1) into 1 3.816 * [backup-simplify]: Simplify (+ 0 1) into 1 3.816 * [backup-simplify]: Simplify (/ -1 1) into -1 3.817 * [taylor]: Taking taylor expansion of -1 in y 3.817 * [backup-simplify]: Simplify -1 into -1 3.817 * [backup-simplify]: Simplify 0 into 0 3.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.817 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (/ 1 y) 1)))) into (/ 1 y) 3.818 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.818 * [taylor]: Taking taylor expansion of y in y 3.818 * [backup-simplify]: Simplify 0 into 0 3.818 * [backup-simplify]: Simplify 1 into 1 3.818 * [backup-simplify]: Simplify (/ 1 1) into 1 3.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.819 * [backup-simplify]: Simplify 0 into 0 3.819 * [backup-simplify]: Simplify 0 into 0 3.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.820 * [backup-simplify]: Simplify (+ 0 0) into 0 3.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (/ 1 y) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 2))) 3.820 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 3.821 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.821 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.821 * [taylor]: Taking taylor expansion of y in y 3.821 * [backup-simplify]: Simplify 0 into 0 3.821 * [backup-simplify]: Simplify 1 into 1 3.821 * [backup-simplify]: Simplify (* 1 1) into 1 3.821 * [backup-simplify]: Simplify (/ 1 1) into 1 3.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.824 * [backup-simplify]: Simplify (- 0) into 0 3.824 * [backup-simplify]: Simplify 0 into 0 3.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.825 * [backup-simplify]: Simplify 0 into 0 3.825 * [backup-simplify]: Simplify 0 into 0 3.825 * [backup-simplify]: Simplify 0 into 0 3.825 * * * [progress]: simplifying candidates 3.826 * [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 3.827 * * [simplify]: Extracting # 0 : cost 0 3.827 * * [simplify]: Extracting # 1 : cost 0 3.827 * * [simplify]: Extracting # 2 : cost 0 3.828 * * [simplify]: Extracting # 3 : cost 0 3.828 * * [simplify]: Extracting # 4 : cost 0 3.828 * * [simplify]: Extracting # 5 : cost 0 3.828 * * [simplify]: Extracting # 6 : cost 0 3.828 * * [simplify]: iteration 0 : 99 enodes (cost 783 ) 3.873 * * [simplify]: Extracting # 0 : cost 0 3.873 * * [simplify]: Extracting # 1 : cost 0 3.873 * * [simplify]: Extracting # 2 : cost 0 3.873 * * [simplify]: Extracting # 3 : cost 0 3.874 * * [simplify]: iteration 1 : 225 enodes (cost 603 ) 3.947 * * [simplify]: Extracting # 0 : cost 0 3.948 * * [simplify]: Extracting # 1 : cost 0 3.949 * * [simplify]: Extracting # 2 : cost 0 3.950 * * [simplify]: Extracting # 3 : cost 0 3.950 * * [simplify]: Extracting # 4 : cost 0 3.951 * * [simplify]: Extracting # 5 : cost 0 3.951 * * [simplify]: Extracting # 6 : cost 0 3.952 * * [simplify]: iteration 2 : 464 enodes (cost 541 ) 4.177 * * [simplify]: Extracting # 0 : cost 0 4.179 * * [simplify]: Extracting # 1 : cost 0 4.180 * * [simplify]: Extracting # 2 : cost 0 4.182 * * [simplify]: Extracting # 3 : cost 0 4.183 * * [simplify]: Extracting # 4 : cost 0 4.184 * * [simplify]: iteration 3 : 952 enodes (cost 541 ) 5.074 * * [simplify]: Extracting # 0 : cost 0 5.076 * * [simplify]: Extracting # 1 : cost 0 5.078 * * [simplify]: Extracting # 2 : cost 0 5.079 * * [simplify]: Extracting # 3 : cost 0 5.081 * * [simplify]: Extracting # 4 : cost 0 5.082 * * [simplify]: Extracting # 5 : cost 0 5.083 * * [simplify]: iteration 4 : 2095 enodes (cost 541 ) 7.286 * * [simplify]: Extracting # 0 : cost 0 7.297 * * [simplify]: Extracting # 1 : cost 0 7.311 * * [simplify]: Extracting # 2 : cost 0 7.320 * * [simplify]: Extracting # 3 : cost 0 7.329 * * [simplify]: Extracting # 4 : cost 0 7.338 * * [simplify]: iteration done: 5000 enodes (cost 541 ) 7.339 * [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 7.340 * * * [progress]: adding candidates to table 7.545 * * [progress]: iteration 3 / 4 7.545 * * * [progress]: picking best candidate 7.548 * * * * [pick]: Picked # 7.548 * * * [progress]: localizing error 7.554 * * * [progress]: generating rewritten candidates 7.554 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 7.591 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 7.639 * * * [progress]: generating series expansions 7.639 * * * * [progress]: [ 1 / 2 ] generating series at (2) 7.639 * [backup-simplify]: Simplify (/ 1 (/ (+ x y) x)) into (/ x (+ x y)) 7.639 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 7.639 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 7.639 * [taylor]: Taking taylor expansion of x in y 7.639 * [backup-simplify]: Simplify x into x 7.639 * [taylor]: Taking taylor expansion of (+ x y) in y 7.639 * [taylor]: Taking taylor expansion of x in y 7.639 * [backup-simplify]: Simplify x into x 7.639 * [taylor]: Taking taylor expansion of y in y 7.639 * [backup-simplify]: Simplify 0 into 0 7.639 * [backup-simplify]: Simplify 1 into 1 7.639 * [backup-simplify]: Simplify (+ x 0) into x 7.639 * [backup-simplify]: Simplify (/ x x) into 1 7.639 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 7.639 * [taylor]: Taking taylor expansion of x in x 7.639 * [backup-simplify]: Simplify 0 into 0 7.640 * [backup-simplify]: Simplify 1 into 1 7.640 * [taylor]: Taking taylor expansion of (+ x y) in x 7.640 * [taylor]: Taking taylor expansion of x in x 7.640 * [backup-simplify]: Simplify 0 into 0 7.640 * [backup-simplify]: Simplify 1 into 1 7.640 * [taylor]: Taking taylor expansion of y in x 7.640 * [backup-simplify]: Simplify y into y 7.640 * [backup-simplify]: Simplify (+ 0 y) into y 7.640 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.640 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 7.640 * [taylor]: Taking taylor expansion of x in x 7.640 * [backup-simplify]: Simplify 0 into 0 7.640 * [backup-simplify]: Simplify 1 into 1 7.640 * [taylor]: Taking taylor expansion of (+ x y) in x 7.640 * [taylor]: Taking taylor expansion of x in x 7.640 * [backup-simplify]: Simplify 0 into 0 7.640 * [backup-simplify]: Simplify 1 into 1 7.640 * [taylor]: Taking taylor expansion of y in x 7.640 * [backup-simplify]: Simplify y into y 7.640 * [backup-simplify]: Simplify (+ 0 y) into y 7.640 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.640 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.640 * [taylor]: Taking taylor expansion of y in y 7.640 * [backup-simplify]: Simplify 0 into 0 7.640 * [backup-simplify]: Simplify 1 into 1 7.641 * [backup-simplify]: Simplify (/ 1 1) into 1 7.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.642 * [backup-simplify]: Simplify 0 into 0 7.643 * [backup-simplify]: Simplify (+ 1 0) into 1 7.643 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 7.643 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 7.643 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.643 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.643 * [taylor]: Taking taylor expansion of y in y 7.643 * [backup-simplify]: Simplify 0 into 0 7.643 * [backup-simplify]: Simplify 1 into 1 7.644 * [backup-simplify]: Simplify (* 1 1) into 1 7.644 * [backup-simplify]: Simplify (/ 1 1) into 1 7.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.647 * [backup-simplify]: Simplify (- 0) into 0 7.647 * [backup-simplify]: Simplify 0 into 0 7.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.648 * [backup-simplify]: Simplify 0 into 0 7.649 * [backup-simplify]: Simplify (+ 0 0) into 0 7.649 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 7.649 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 7.649 * [taylor]: Taking taylor expansion of (pow y 3) in y 7.649 * [taylor]: Taking taylor expansion of y in y 7.649 * [backup-simplify]: Simplify 0 into 0 7.650 * [backup-simplify]: Simplify 1 into 1 7.650 * [backup-simplify]: Simplify (* 1 1) into 1 7.650 * [backup-simplify]: Simplify (* 1 1) into 1 7.651 * [backup-simplify]: Simplify (/ 1 1) into 1 7.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.658 * [backup-simplify]: Simplify 0 into 0 7.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.661 * [backup-simplify]: Simplify (- 0) into 0 7.661 * [backup-simplify]: Simplify 0 into 0 7.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.662 * [backup-simplify]: Simplify 0 into 0 7.662 * [backup-simplify]: Simplify 0 into 0 7.662 * [backup-simplify]: Simplify (/ 1 (/ (+ (/ 1 x) (/ 1 y)) (/ 1 x))) into (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) 7.662 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 7.662 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 7.663 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 7.663 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 7.663 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.663 * [taylor]: Taking taylor expansion of y in y 7.663 * [backup-simplify]: Simplify 0 into 0 7.663 * [backup-simplify]: Simplify 1 into 1 7.663 * [backup-simplify]: Simplify (/ 1 1) into 1 7.663 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.663 * [taylor]: Taking taylor expansion of x in y 7.663 * [backup-simplify]: Simplify x into x 7.663 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.663 * [taylor]: Taking taylor expansion of x in y 7.663 * [backup-simplify]: Simplify x into x 7.664 * [backup-simplify]: Simplify (+ 1 0) into 1 7.664 * [backup-simplify]: Simplify (* 1 x) into x 7.664 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.664 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 7.664 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 7.664 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.664 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.664 * [taylor]: Taking taylor expansion of y in x 7.664 * [backup-simplify]: Simplify y into y 7.664 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.664 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.664 * [taylor]: Taking taylor expansion of x in x 7.664 * [backup-simplify]: Simplify 0 into 0 7.664 * [backup-simplify]: Simplify 1 into 1 7.664 * [backup-simplify]: Simplify (/ 1 1) into 1 7.664 * [taylor]: Taking taylor expansion of x in x 7.665 * [backup-simplify]: Simplify 0 into 0 7.665 * [backup-simplify]: Simplify 1 into 1 7.665 * [backup-simplify]: Simplify (+ 0 1) into 1 7.665 * [backup-simplify]: Simplify (* 1 0) into 0 7.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.666 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 7.667 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 7.667 * [backup-simplify]: Simplify (/ 1 1) into 1 7.667 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 7.667 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 7.667 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.667 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.667 * [taylor]: Taking taylor expansion of y in x 7.667 * [backup-simplify]: Simplify y into y 7.667 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.667 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.667 * [taylor]: Taking taylor expansion of x in x 7.667 * [backup-simplify]: Simplify 0 into 0 7.667 * [backup-simplify]: Simplify 1 into 1 7.668 * [backup-simplify]: Simplify (/ 1 1) into 1 7.668 * [taylor]: Taking taylor expansion of x in x 7.668 * [backup-simplify]: Simplify 0 into 0 7.668 * [backup-simplify]: Simplify 1 into 1 7.668 * [backup-simplify]: Simplify (+ 0 1) into 1 7.669 * [backup-simplify]: Simplify (* 1 0) into 0 7.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.669 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 7.670 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 7.670 * [backup-simplify]: Simplify (/ 1 1) into 1 7.670 * [taylor]: Taking taylor expansion of 1 in y 7.670 * [backup-simplify]: Simplify 1 into 1 7.670 * [backup-simplify]: Simplify 0 into 0 7.670 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 7.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.672 * [backup-simplify]: Simplify (+ 0 0) into 0 7.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 1) (* 0 0))) into (/ 1 y) 7.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 7.673 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 7.673 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.673 * [taylor]: Taking taylor expansion of y in y 7.673 * [backup-simplify]: Simplify 0 into 0 7.673 * [backup-simplify]: Simplify 1 into 1 7.673 * [backup-simplify]: Simplify (/ 1 1) into 1 7.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.675 * [backup-simplify]: Simplify (- 0) into 0 7.675 * [backup-simplify]: Simplify 0 into 0 7.675 * [backup-simplify]: Simplify 0 into 0 7.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.677 * [backup-simplify]: Simplify (+ 0 0) into 0 7.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 1) (* 0 0)))) into 0 7.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 7.678 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.679 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.679 * [taylor]: Taking taylor expansion of y in y 7.679 * [backup-simplify]: Simplify 0 into 0 7.679 * [backup-simplify]: Simplify 1 into 1 7.679 * [backup-simplify]: Simplify (* 1 1) into 1 7.679 * [backup-simplify]: Simplify (/ 1 1) into 1 7.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.684 * [backup-simplify]: Simplify 0 into 0 7.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.686 * [backup-simplify]: Simplify (- 0) into 0 7.686 * [backup-simplify]: Simplify 0 into 0 7.686 * [backup-simplify]: Simplify 0 into 0 7.686 * [backup-simplify]: Simplify 0 into 0 7.686 * [backup-simplify]: Simplify (/ 1 (/ (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x)))) into (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) 7.686 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 7.686 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 7.686 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 7.686 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 7.686 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.686 * [taylor]: Taking taylor expansion of y in y 7.686 * [backup-simplify]: Simplify 0 into 0 7.686 * [backup-simplify]: Simplify 1 into 1 7.687 * [backup-simplify]: Simplify (/ 1 1) into 1 7.687 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.687 * [taylor]: Taking taylor expansion of x in y 7.687 * [backup-simplify]: Simplify x into x 7.687 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.687 * [taylor]: Taking taylor expansion of x in y 7.687 * [backup-simplify]: Simplify x into x 7.687 * [backup-simplify]: Simplify (+ 1 0) into 1 7.687 * [backup-simplify]: Simplify (* 1 x) into x 7.687 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.687 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 7.687 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 7.687 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.687 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.687 * [taylor]: Taking taylor expansion of y in x 7.688 * [backup-simplify]: Simplify y into y 7.688 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.688 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.688 * [taylor]: Taking taylor expansion of x in x 7.688 * [backup-simplify]: Simplify 0 into 0 7.688 * [backup-simplify]: Simplify 1 into 1 7.688 * [backup-simplify]: Simplify (/ 1 1) into 1 7.688 * [taylor]: Taking taylor expansion of x in x 7.688 * [backup-simplify]: Simplify 0 into 0 7.688 * [backup-simplify]: Simplify 1 into 1 7.689 * [backup-simplify]: Simplify (+ 0 1) into 1 7.689 * [backup-simplify]: Simplify (* 1 0) into 0 7.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.690 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 7.690 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 7.691 * [backup-simplify]: Simplify (/ 1 1) into 1 7.691 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 7.691 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 7.691 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.691 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.691 * [taylor]: Taking taylor expansion of y in x 7.691 * [backup-simplify]: Simplify y into y 7.691 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.691 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.691 * [taylor]: Taking taylor expansion of x in x 7.691 * [backup-simplify]: Simplify 0 into 0 7.691 * [backup-simplify]: Simplify 1 into 1 7.691 * [backup-simplify]: Simplify (/ 1 1) into 1 7.691 * [taylor]: Taking taylor expansion of x in x 7.691 * [backup-simplify]: Simplify 0 into 0 7.691 * [backup-simplify]: Simplify 1 into 1 7.692 * [backup-simplify]: Simplify (+ 0 1) into 1 7.692 * [backup-simplify]: Simplify (* 1 0) into 0 7.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.693 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 7.693 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 7.694 * [backup-simplify]: Simplify (/ 1 1) into 1 7.694 * [taylor]: Taking taylor expansion of 1 in y 7.694 * [backup-simplify]: Simplify 1 into 1 7.694 * [backup-simplify]: Simplify 0 into 0 7.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 7.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.695 * [backup-simplify]: Simplify (+ 0 0) into 0 7.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 1) (* 0 0))) into (/ 1 y) 7.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 7.696 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 7.696 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.696 * [taylor]: Taking taylor expansion of y in y 7.696 * [backup-simplify]: Simplify 0 into 0 7.696 * [backup-simplify]: Simplify 1 into 1 7.697 * [backup-simplify]: Simplify (/ 1 1) into 1 7.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.698 * [backup-simplify]: Simplify (- 0) into 0 7.698 * [backup-simplify]: Simplify 0 into 0 7.698 * [backup-simplify]: Simplify 0 into 0 7.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.699 * [backup-simplify]: Simplify (+ 0 0) into 0 7.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 1) (* 0 0)))) into 0 7.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 7.700 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.700 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.700 * [taylor]: Taking taylor expansion of y in y 7.700 * [backup-simplify]: Simplify 0 into 0 7.700 * [backup-simplify]: Simplify 1 into 1 7.700 * [backup-simplify]: Simplify (* 1 1) into 1 7.700 * [backup-simplify]: Simplify (/ 1 1) into 1 7.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.707 * [backup-simplify]: Simplify 0 into 0 7.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.708 * [backup-simplify]: Simplify (- 0) into 0 7.708 * [backup-simplify]: Simplify 0 into 0 7.708 * [backup-simplify]: Simplify 0 into 0 7.708 * [backup-simplify]: Simplify 0 into 0 7.708 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 7.708 * [backup-simplify]: Simplify (/ (+ x y) x) into (/ (+ x y) x) 7.708 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (x y) around 0 7.708 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 7.708 * [taylor]: Taking taylor expansion of (+ x y) in y 7.708 * [taylor]: Taking taylor expansion of x in y 7.708 * [backup-simplify]: Simplify x into x 7.708 * [taylor]: Taking taylor expansion of y in y 7.708 * [backup-simplify]: Simplify 0 into 0 7.708 * [backup-simplify]: Simplify 1 into 1 7.708 * [taylor]: Taking taylor expansion of x in y 7.708 * [backup-simplify]: Simplify x into x 7.708 * [backup-simplify]: Simplify (+ x 0) into x 7.708 * [backup-simplify]: Simplify (/ x x) into 1 7.708 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 7.708 * [taylor]: Taking taylor expansion of (+ x y) in x 7.708 * [taylor]: Taking taylor expansion of x in x 7.708 * [backup-simplify]: Simplify 0 into 0 7.708 * [backup-simplify]: Simplify 1 into 1 7.708 * [taylor]: Taking taylor expansion of y in x 7.708 * [backup-simplify]: Simplify y into y 7.708 * [taylor]: Taking taylor expansion of x in x 7.708 * [backup-simplify]: Simplify 0 into 0 7.708 * [backup-simplify]: Simplify 1 into 1 7.708 * [backup-simplify]: Simplify (+ 0 y) into y 7.709 * [backup-simplify]: Simplify (/ y 1) into y 7.709 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 7.709 * [taylor]: Taking taylor expansion of (+ x y) in x 7.709 * [taylor]: Taking taylor expansion of x in x 7.709 * [backup-simplify]: Simplify 0 into 0 7.709 * [backup-simplify]: Simplify 1 into 1 7.709 * [taylor]: Taking taylor expansion of y in x 7.709 * [backup-simplify]: Simplify y into y 7.709 * [taylor]: Taking taylor expansion of x in x 7.709 * [backup-simplify]: Simplify 0 into 0 7.709 * [backup-simplify]: Simplify 1 into 1 7.709 * [backup-simplify]: Simplify (+ 0 y) into y 7.709 * [backup-simplify]: Simplify (/ y 1) into y 7.709 * [taylor]: Taking taylor expansion of y in y 7.709 * [backup-simplify]: Simplify 0 into 0 7.709 * [backup-simplify]: Simplify 1 into 1 7.709 * [backup-simplify]: Simplify 0 into 0 7.709 * [backup-simplify]: Simplify (+ 1 0) into 1 7.710 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* y (/ 0 1)))) into 1 7.710 * [taylor]: Taking taylor expansion of 1 in y 7.710 * [backup-simplify]: Simplify 1 into 1 7.710 * [backup-simplify]: Simplify 1 into 1 7.710 * [backup-simplify]: Simplify 1 into 1 7.710 * [backup-simplify]: Simplify (+ 0 0) into 0 7.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 1 (/ 0 1)))) into 0 7.711 * [taylor]: Taking taylor expansion of 0 in y 7.711 * [backup-simplify]: Simplify 0 into 0 7.711 * [backup-simplify]: Simplify 0 into 0 7.711 * [backup-simplify]: Simplify 0 into 0 7.711 * [backup-simplify]: Simplify 0 into 0 7.712 * [backup-simplify]: Simplify (+ 0 0) into 0 7.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.713 * [taylor]: Taking taylor expansion of 0 in y 7.713 * [backup-simplify]: Simplify 0 into 0 7.713 * [backup-simplify]: Simplify 0 into 0 7.713 * [backup-simplify]: Simplify 0 into 0 7.713 * [backup-simplify]: Simplify 0 into 0 7.713 * [backup-simplify]: Simplify (+ (* 1 (* y (/ 1 x))) 1) into (+ (/ y x) 1) 7.713 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (/ 1 x)) into (* (+ (/ 1 y) (/ 1 x)) x) 7.713 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 7.713 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 7.714 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 7.714 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.714 * [taylor]: Taking taylor expansion of y in y 7.714 * [backup-simplify]: Simplify 0 into 0 7.714 * [backup-simplify]: Simplify 1 into 1 7.714 * [backup-simplify]: Simplify (/ 1 1) into 1 7.714 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.714 * [taylor]: Taking taylor expansion of x in y 7.714 * [backup-simplify]: Simplify x into x 7.714 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.714 * [taylor]: Taking taylor expansion of x in y 7.714 * [backup-simplify]: Simplify x into x 7.714 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 7.714 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.714 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.714 * [taylor]: Taking taylor expansion of y in x 7.714 * [backup-simplify]: Simplify y into y 7.714 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.714 * [taylor]: Taking taylor expansion of x in x 7.714 * [backup-simplify]: Simplify 0 into 0 7.714 * [backup-simplify]: Simplify 1 into 1 7.714 * [backup-simplify]: Simplify (/ 1 1) into 1 7.714 * [taylor]: Taking taylor expansion of x in x 7.714 * [backup-simplify]: Simplify 0 into 0 7.714 * [backup-simplify]: Simplify 1 into 1 7.714 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 7.715 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.715 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.715 * [taylor]: Taking taylor expansion of y in x 7.715 * [backup-simplify]: Simplify y into y 7.715 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.715 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.715 * [taylor]: Taking taylor expansion of x in x 7.715 * [backup-simplify]: Simplify 0 into 0 7.715 * [backup-simplify]: Simplify 1 into 1 7.715 * [backup-simplify]: Simplify (/ 1 1) into 1 7.715 * [taylor]: Taking taylor expansion of x in x 7.715 * [backup-simplify]: Simplify 0 into 0 7.715 * [backup-simplify]: Simplify 1 into 1 7.715 * [backup-simplify]: Simplify (+ 0 1) into 1 7.716 * [backup-simplify]: Simplify (* 1 0) into 0 7.716 * [taylor]: Taking taylor expansion of 0 in y 7.716 * [backup-simplify]: Simplify 0 into 0 7.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.716 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 7.716 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 7.716 * [taylor]: Taking taylor expansion of 1 in y 7.716 * [backup-simplify]: Simplify 1 into 1 7.716 * [backup-simplify]: Simplify 0 into 0 7.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 7.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.717 * [backup-simplify]: Simplify (+ 0 0) into 0 7.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 1) (* 0 0))) into (/ 1 y) 7.718 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.718 * [taylor]: Taking taylor expansion of y in y 7.718 * [backup-simplify]: Simplify 0 into 0 7.718 * [backup-simplify]: Simplify 1 into 1 7.718 * [backup-simplify]: Simplify (/ 1 1) into 1 7.718 * [backup-simplify]: Simplify 1 into 1 7.718 * [backup-simplify]: Simplify 1 into 1 7.718 * [backup-simplify]: Simplify 0 into 0 7.718 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.719 * [backup-simplify]: Simplify (+ 0 0) into 0 7.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 1) (* 0 0)))) into 0 7.720 * [taylor]: Taking taylor expansion of 0 in y 7.720 * [backup-simplify]: Simplify 0 into 0 7.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.721 * [backup-simplify]: Simplify 0 into 0 7.721 * [backup-simplify]: Simplify 0 into 0 7.721 * [backup-simplify]: Simplify 0 into 0 7.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.722 * [backup-simplify]: Simplify (+ 0 0) into 0 7.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.723 * [taylor]: Taking taylor expansion of 0 in y 7.723 * [backup-simplify]: Simplify 0 into 0 7.723 * [backup-simplify]: Simplify 0 into 0 7.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.723 * [backup-simplify]: Simplify 0 into 0 7.724 * [backup-simplify]: Simplify (+ 1 (* 1 (* (/ 1 (/ 1 y)) (/ 1 x)))) into (+ (/ y x) 1) 7.724 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) into (* (+ (/ 1 y) (/ 1 x)) x) 7.724 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 7.724 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 7.724 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 7.724 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.724 * [taylor]: Taking taylor expansion of y in y 7.724 * [backup-simplify]: Simplify 0 into 0 7.724 * [backup-simplify]: Simplify 1 into 1 7.724 * [backup-simplify]: Simplify (/ 1 1) into 1 7.724 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.724 * [taylor]: Taking taylor expansion of x in y 7.724 * [backup-simplify]: Simplify x into x 7.724 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.724 * [taylor]: Taking taylor expansion of x in y 7.724 * [backup-simplify]: Simplify x into x 7.724 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 7.725 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.725 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.725 * [taylor]: Taking taylor expansion of y in x 7.725 * [backup-simplify]: Simplify y into y 7.725 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.725 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.725 * [taylor]: Taking taylor expansion of x in x 7.725 * [backup-simplify]: Simplify 0 into 0 7.725 * [backup-simplify]: Simplify 1 into 1 7.725 * [backup-simplify]: Simplify (/ 1 1) into 1 7.725 * [taylor]: Taking taylor expansion of x in x 7.725 * [backup-simplify]: Simplify 0 into 0 7.725 * [backup-simplify]: Simplify 1 into 1 7.725 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 7.725 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.725 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.725 * [taylor]: Taking taylor expansion of y in x 7.725 * [backup-simplify]: Simplify y into y 7.725 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.725 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.725 * [taylor]: Taking taylor expansion of x in x 7.725 * [backup-simplify]: Simplify 0 into 0 7.725 * [backup-simplify]: Simplify 1 into 1 7.725 * [backup-simplify]: Simplify (/ 1 1) into 1 7.725 * [taylor]: Taking taylor expansion of x in x 7.726 * [backup-simplify]: Simplify 0 into 0 7.726 * [backup-simplify]: Simplify 1 into 1 7.726 * [backup-simplify]: Simplify (+ 0 1) into 1 7.726 * [backup-simplify]: Simplify (* 1 0) into 0 7.726 * [taylor]: Taking taylor expansion of 0 in y 7.726 * [backup-simplify]: Simplify 0 into 0 7.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.727 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 7.727 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 7.727 * [taylor]: Taking taylor expansion of 1 in y 7.727 * [backup-simplify]: Simplify 1 into 1 7.727 * [backup-simplify]: Simplify 0 into 0 7.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 7.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.728 * [backup-simplify]: Simplify (+ 0 0) into 0 7.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 1) (* 0 0))) into (/ 1 y) 7.729 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.729 * [taylor]: Taking taylor expansion of y in y 7.729 * [backup-simplify]: Simplify 0 into 0 7.729 * [backup-simplify]: Simplify 1 into 1 7.729 * [backup-simplify]: Simplify (/ 1 1) into 1 7.729 * [backup-simplify]: Simplify 1 into 1 7.729 * [backup-simplify]: Simplify 1 into 1 7.729 * [backup-simplify]: Simplify 0 into 0 7.729 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.730 * [backup-simplify]: Simplify (+ 0 0) into 0 7.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 1) (* 0 0)))) into 0 7.731 * [taylor]: Taking taylor expansion of 0 in y 7.731 * [backup-simplify]: Simplify 0 into 0 7.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.731 * [backup-simplify]: Simplify 0 into 0 7.731 * [backup-simplify]: Simplify 0 into 0 7.731 * [backup-simplify]: Simplify 0 into 0 7.731 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.732 * [backup-simplify]: Simplify (+ 0 0) into 0 7.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.733 * [taylor]: Taking taylor expansion of 0 in y 7.733 * [backup-simplify]: Simplify 0 into 0 7.733 * [backup-simplify]: Simplify 0 into 0 7.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.733 * [backup-simplify]: Simplify 0 into 0 7.734 * [backup-simplify]: Simplify (+ 1 (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (- x))))) into (+ (/ y x) 1) 7.734 * * * [progress]: simplifying candidates 7.736 * [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) 7.738 * * [simplify]: Extracting # 0 : cost 0 7.738 * * [simplify]: Extracting # 1 : cost 0 7.738 * * [simplify]: Extracting # 2 : cost 0 7.739 * * [simplify]: Extracting # 3 : cost 0 7.739 * * [simplify]: Extracting # 4 : cost 0 7.740 * * [simplify]: Extracting # 5 : cost 0 7.740 * * [simplify]: Extracting # 6 : cost 0 7.740 * * [simplify]: Extracting # 7 : cost 0 7.740 * * [simplify]: iteration 0 : 160 enodes (cost 1662 ) 7.794 * * [simplify]: Extracting # 0 : cost 0 7.795 * * [simplify]: Extracting # 1 : cost 0 7.795 * * [simplify]: Extracting # 2 : cost 0 7.795 * * [simplify]: Extracting # 3 : cost 0 7.795 * * [simplify]: Extracting # 4 : cost 0 7.796 * * [simplify]: iteration 1 : 339 enodes (cost 1374 ) 7.884 * * [simplify]: Extracting # 0 : cost 0 7.885 * * [simplify]: Extracting # 1 : cost 0 7.886 * * [simplify]: Extracting # 2 : cost 0 7.891 * * [simplify]: Extracting # 3 : cost 0 7.892 * * [simplify]: Extracting # 4 : cost 0 7.893 * * [simplify]: iteration 2 : 664 enodes (cost 1203 ) 8.308 * * [simplify]: Extracting # 0 : cost 0 8.310 * * [simplify]: Extracting # 1 : cost 0 8.311 * * [simplify]: Extracting # 2 : cost 0 8.312 * * [simplify]: Extracting # 3 : cost 0 8.313 * * [simplify]: Extracting # 4 : cost 0 8.314 * * [simplify]: Extracting # 5 : cost 0 8.315 * * [simplify]: iteration 3 : 1377 enodes (cost 1179 ) 9.482 * * [simplify]: Extracting # 0 : cost 0 9.485 * * [simplify]: Extracting # 1 : cost 0 9.486 * * [simplify]: Extracting # 2 : cost 0 9.488 * * [simplify]: Extracting # 3 : cost 0 9.490 * * [simplify]: Extracting # 4 : cost 0 9.491 * * [simplify]: iteration 4 : 2622 enodes (cost 1179 ) 11.909 * * [simplify]: Extracting # 0 : cost 0 11.914 * * [simplify]: Extracting # 1 : cost 0 11.922 * * [simplify]: Extracting # 2 : cost 0 11.929 * * [simplify]: Extracting # 3 : cost 0 11.937 * * [simplify]: Extracting # 4 : cost 0 11.944 * * [simplify]: iteration done: 5000 enodes (cost 1178 ) 11.946 * [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) 11.947 * * * [progress]: adding candidates to table 12.156 * * [progress]: iteration 4 / 4 12.156 * * * [progress]: picking best candidate 12.157 * * * * [pick]: Picked # 12.157 * * * [progress]: localizing error 12.165 * * * [progress]: generating rewritten candidates 12.165 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 12.188 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 12.210 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 12.307 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 12.332 * * * [progress]: generating series expansions 12.332 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 12.333 * [backup-simplify]: Simplify (sqrt (/ x (+ y x))) into (sqrt (/ x (+ x y))) 12.333 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 12.333 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 12.333 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 12.333 * [taylor]: Taking taylor expansion of x in y 12.333 * [backup-simplify]: Simplify x into x 12.333 * [taylor]: Taking taylor expansion of (+ x y) in y 12.333 * [taylor]: Taking taylor expansion of x in y 12.333 * [backup-simplify]: Simplify x into x 12.333 * [taylor]: Taking taylor expansion of y in y 12.333 * [backup-simplify]: Simplify 0 into 0 12.333 * [backup-simplify]: Simplify 1 into 1 12.333 * [backup-simplify]: Simplify (+ x 0) into x 12.333 * [backup-simplify]: Simplify (/ x x) into 1 12.333 * [backup-simplify]: Simplify (sqrt 1) into 1 12.334 * [backup-simplify]: Simplify (+ 0 1) into 1 12.334 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 1 x)))) into (- (/ 1 x)) 12.334 * [backup-simplify]: Simplify (/ (- (/ 1 x)) (* 2 (sqrt 1))) into (/ -1/2 x) 12.334 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 12.334 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.334 * [taylor]: Taking taylor expansion of x in x 12.334 * [backup-simplify]: Simplify 0 into 0 12.334 * [backup-simplify]: Simplify 1 into 1 12.334 * [taylor]: Taking taylor expansion of (+ x y) in x 12.334 * [taylor]: Taking taylor expansion of x in x 12.334 * [backup-simplify]: Simplify 0 into 0 12.334 * [backup-simplify]: Simplify 1 into 1 12.334 * [taylor]: Taking taylor expansion of y in x 12.334 * [backup-simplify]: Simplify y into y 12.334 * [backup-simplify]: Simplify (+ 0 y) into y 12.335 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.335 * [backup-simplify]: Simplify (sqrt 0) into 0 12.335 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 12.335 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 12.335 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.335 * [taylor]: Taking taylor expansion of x in x 12.335 * [backup-simplify]: Simplify 0 into 0 12.335 * [backup-simplify]: Simplify 1 into 1 12.335 * [taylor]: Taking taylor expansion of (+ x y) in x 12.335 * [taylor]: Taking taylor expansion of x in x 12.335 * [backup-simplify]: Simplify 0 into 0 12.335 * [backup-simplify]: Simplify 1 into 1 12.335 * [taylor]: Taking taylor expansion of y in x 12.335 * [backup-simplify]: Simplify y into y 12.335 * [backup-simplify]: Simplify (+ 0 y) into y 12.335 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.336 * [backup-simplify]: Simplify (sqrt 0) into 0 12.336 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 12.336 * [taylor]: Taking taylor expansion of 0 in y 12.336 * [backup-simplify]: Simplify 0 into 0 12.336 * [backup-simplify]: Simplify 0 into 0 12.336 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 12.336 * [taylor]: Taking taylor expansion of +nan.0 in y 12.336 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.336 * [taylor]: Taking taylor expansion of y in y 12.336 * [backup-simplify]: Simplify 0 into 0 12.336 * [backup-simplify]: Simplify 1 into 1 12.337 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 12.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 12.337 * [backup-simplify]: Simplify 0 into 0 12.337 * [backup-simplify]: Simplify 0 into 0 12.337 * [backup-simplify]: Simplify (+ 1 0) into 1 12.337 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 12.338 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 2))) (pow (/ +nan.0 y) 2) (+)) (* 2 0)) into (/ +nan.0 (pow y 2)) 12.338 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 12.338 * [taylor]: Taking taylor expansion of +nan.0 in y 12.338 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.338 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.338 * [taylor]: Taking taylor expansion of y in y 12.338 * [backup-simplify]: Simplify 0 into 0 12.338 * [backup-simplify]: Simplify 1 into 1 12.339 * [backup-simplify]: Simplify (* 1 1) into 1 12.339 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 12.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 12.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.341 * [backup-simplify]: Simplify 0 into 0 12.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.341 * [backup-simplify]: Simplify 0 into 0 12.341 * [backup-simplify]: Simplify 0 into 0 12.341 * [backup-simplify]: Simplify 0 into 0 12.342 * [backup-simplify]: Simplify (sqrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 12.342 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 12.342 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 12.342 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.342 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.342 * [taylor]: Taking taylor expansion of x in y 12.342 * [backup-simplify]: Simplify x into x 12.342 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.342 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.342 * [taylor]: Taking taylor expansion of y in y 12.342 * [backup-simplify]: Simplify 0 into 0 12.342 * [backup-simplify]: Simplify 1 into 1 12.342 * [backup-simplify]: Simplify (/ 1 1) into 1 12.342 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.342 * [taylor]: Taking taylor expansion of x in y 12.342 * [backup-simplify]: Simplify x into x 12.342 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.342 * [backup-simplify]: Simplify (+ 1 0) into 1 12.342 * [backup-simplify]: Simplify (* x 1) into x 12.343 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.343 * [backup-simplify]: Simplify (sqrt 0) into 0 12.343 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 12.343 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.343 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.343 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.343 * [taylor]: Taking taylor expansion of x in x 12.343 * [backup-simplify]: Simplify 0 into 0 12.343 * [backup-simplify]: Simplify 1 into 1 12.343 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.343 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.343 * [taylor]: Taking taylor expansion of y in x 12.343 * [backup-simplify]: Simplify y into y 12.343 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.343 * [taylor]: Taking taylor expansion of x in x 12.343 * [backup-simplify]: Simplify 0 into 0 12.344 * [backup-simplify]: Simplify 1 into 1 12.344 * [backup-simplify]: Simplify (/ 1 1) into 1 12.344 * [backup-simplify]: Simplify (+ 0 1) into 1 12.344 * [backup-simplify]: Simplify (* 0 1) into 0 12.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.345 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.345 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.345 * [backup-simplify]: Simplify (/ 1 1) into 1 12.346 * [backup-simplify]: Simplify (sqrt 1) into 1 12.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.347 * [backup-simplify]: Simplify (+ 0 0) into 0 12.347 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.348 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.348 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.348 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.348 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.348 * [taylor]: Taking taylor expansion of x in x 12.348 * [backup-simplify]: Simplify 0 into 0 12.348 * [backup-simplify]: Simplify 1 into 1 12.348 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.348 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.348 * [taylor]: Taking taylor expansion of y in x 12.348 * [backup-simplify]: Simplify y into y 12.348 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.348 * [taylor]: Taking taylor expansion of x in x 12.348 * [backup-simplify]: Simplify 0 into 0 12.348 * [backup-simplify]: Simplify 1 into 1 12.348 * [backup-simplify]: Simplify (/ 1 1) into 1 12.348 * [backup-simplify]: Simplify (+ 0 1) into 1 12.349 * [backup-simplify]: Simplify (* 0 1) into 0 12.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.349 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.349 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.350 * [backup-simplify]: Simplify (/ 1 1) into 1 12.350 * [backup-simplify]: Simplify (sqrt 1) into 1 12.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.351 * [backup-simplify]: Simplify (+ 0 0) into 0 12.351 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.352 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.352 * [taylor]: Taking taylor expansion of 1 in y 12.352 * [backup-simplify]: Simplify 1 into 1 12.352 * [backup-simplify]: Simplify 1 into 1 12.352 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 12.352 * [taylor]: Taking taylor expansion of -1/2 in y 12.352 * [backup-simplify]: Simplify -1/2 into -1/2 12.352 * [taylor]: Taking taylor expansion of y in y 12.352 * [backup-simplify]: Simplify 0 into 0 12.352 * [backup-simplify]: Simplify 1 into 1 12.352 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.353 * [backup-simplify]: Simplify 0 into 0 12.353 * [backup-simplify]: Simplify 0 into 0 12.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.354 * [backup-simplify]: Simplify (+ 0 0) into 0 12.355 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.356 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 12.356 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 12.356 * [taylor]: Taking taylor expansion of 3/8 in y 12.356 * [backup-simplify]: Simplify 3/8 into 3/8 12.356 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.356 * [taylor]: Taking taylor expansion of y in y 12.356 * [backup-simplify]: Simplify 0 into 0 12.356 * [backup-simplify]: Simplify 1 into 1 12.357 * [backup-simplify]: Simplify (* 1 1) into 1 12.357 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 12.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 12.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.359 * [backup-simplify]: Simplify 0 into 0 12.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.360 * [backup-simplify]: Simplify 0 into 0 12.360 * [backup-simplify]: Simplify 0 into 0 12.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.361 * [backup-simplify]: Simplify (+ 0 0) into 0 12.362 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 12.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 12.363 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 12.363 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 12.363 * [taylor]: Taking taylor expansion of -5/16 in y 12.363 * [backup-simplify]: Simplify -5/16 into -5/16 12.363 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.363 * [taylor]: Taking taylor expansion of y in y 12.363 * [backup-simplify]: Simplify 0 into 0 12.363 * [backup-simplify]: Simplify 1 into 1 12.364 * [backup-simplify]: Simplify (* 1 1) into 1 12.364 * [backup-simplify]: Simplify (* 1 1) into 1 12.364 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 12.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 12.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.369 * [backup-simplify]: Simplify 0 into 0 12.369 * [backup-simplify]: Simplify 1 into 1 12.369 * [backup-simplify]: Simplify (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 12.369 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 12.369 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 12.369 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.369 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.369 * [taylor]: Taking taylor expansion of x in y 12.369 * [backup-simplify]: Simplify x into x 12.369 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.369 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.369 * [taylor]: Taking taylor expansion of y in y 12.369 * [backup-simplify]: Simplify 0 into 0 12.369 * [backup-simplify]: Simplify 1 into 1 12.369 * [backup-simplify]: Simplify (/ 1 1) into 1 12.369 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.369 * [taylor]: Taking taylor expansion of x in y 12.369 * [backup-simplify]: Simplify x into x 12.370 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.370 * [backup-simplify]: Simplify (+ 1 0) into 1 12.370 * [backup-simplify]: Simplify (* x 1) into x 12.370 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.370 * [backup-simplify]: Simplify (sqrt 0) into 0 12.370 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 12.371 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.371 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.371 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.371 * [taylor]: Taking taylor expansion of x in x 12.371 * [backup-simplify]: Simplify 0 into 0 12.371 * [backup-simplify]: Simplify 1 into 1 12.371 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.371 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.371 * [taylor]: Taking taylor expansion of y in x 12.371 * [backup-simplify]: Simplify y into y 12.371 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.371 * [taylor]: Taking taylor expansion of x in x 12.371 * [backup-simplify]: Simplify 0 into 0 12.371 * [backup-simplify]: Simplify 1 into 1 12.371 * [backup-simplify]: Simplify (/ 1 1) into 1 12.371 * [backup-simplify]: Simplify (+ 0 1) into 1 12.372 * [backup-simplify]: Simplify (* 0 1) into 0 12.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.372 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.372 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.373 * [backup-simplify]: Simplify (/ 1 1) into 1 12.373 * [backup-simplify]: Simplify (sqrt 1) into 1 12.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.374 * [backup-simplify]: Simplify (+ 0 0) into 0 12.375 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.376 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.376 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.376 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.376 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.376 * [taylor]: Taking taylor expansion of x in x 12.376 * [backup-simplify]: Simplify 0 into 0 12.376 * [backup-simplify]: Simplify 1 into 1 12.376 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.376 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.376 * [taylor]: Taking taylor expansion of y in x 12.376 * [backup-simplify]: Simplify y into y 12.376 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.376 * [taylor]: Taking taylor expansion of x in x 12.376 * [backup-simplify]: Simplify 0 into 0 12.376 * [backup-simplify]: Simplify 1 into 1 12.377 * [backup-simplify]: Simplify (/ 1 1) into 1 12.377 * [backup-simplify]: Simplify (+ 0 1) into 1 12.377 * [backup-simplify]: Simplify (* 0 1) into 0 12.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.378 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.378 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.379 * [backup-simplify]: Simplify (/ 1 1) into 1 12.379 * [backup-simplify]: Simplify (sqrt 1) into 1 12.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.380 * [backup-simplify]: Simplify (+ 0 0) into 0 12.381 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.383 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.383 * [taylor]: Taking taylor expansion of 1 in y 12.383 * [backup-simplify]: Simplify 1 into 1 12.383 * [backup-simplify]: Simplify 1 into 1 12.383 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 12.383 * [taylor]: Taking taylor expansion of -1/2 in y 12.383 * [backup-simplify]: Simplify -1/2 into -1/2 12.383 * [taylor]: Taking taylor expansion of y in y 12.383 * [backup-simplify]: Simplify 0 into 0 12.383 * [backup-simplify]: Simplify 1 into 1 12.384 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.385 * [backup-simplify]: Simplify 0 into 0 12.385 * [backup-simplify]: Simplify 0 into 0 12.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.386 * [backup-simplify]: Simplify (+ 0 0) into 0 12.388 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.390 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 12.390 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 12.390 * [taylor]: Taking taylor expansion of 3/8 in y 12.390 * [backup-simplify]: Simplify 3/8 into 3/8 12.390 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.390 * [taylor]: Taking taylor expansion of y in y 12.390 * [backup-simplify]: Simplify 0 into 0 12.390 * [backup-simplify]: Simplify 1 into 1 12.390 * [backup-simplify]: Simplify (* 1 1) into 1 12.391 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 12.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 12.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.394 * [backup-simplify]: Simplify 0 into 0 12.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.395 * [backup-simplify]: Simplify 0 into 0 12.395 * [backup-simplify]: Simplify 0 into 0 12.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.397 * [backup-simplify]: Simplify (+ 0 0) into 0 12.399 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 12.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 12.401 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 12.401 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 12.401 * [taylor]: Taking taylor expansion of -5/16 in y 12.401 * [backup-simplify]: Simplify -5/16 into -5/16 12.401 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.401 * [taylor]: Taking taylor expansion of y in y 12.401 * [backup-simplify]: Simplify 0 into 0 12.401 * [backup-simplify]: Simplify 1 into 1 12.402 * [backup-simplify]: Simplify (* 1 1) into 1 12.402 * [backup-simplify]: Simplify (* 1 1) into 1 12.403 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 12.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 12.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.411 * [backup-simplify]: Simplify 0 into 0 12.411 * [backup-simplify]: Simplify 1 into 1 12.411 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 12.412 * [backup-simplify]: Simplify (sqrt (/ x (+ y x))) into (sqrt (/ x (+ x y))) 12.412 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 12.412 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 12.412 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 12.412 * [taylor]: Taking taylor expansion of x in y 12.412 * [backup-simplify]: Simplify x into x 12.412 * [taylor]: Taking taylor expansion of (+ x y) in y 12.412 * [taylor]: Taking taylor expansion of x in y 12.412 * [backup-simplify]: Simplify x into x 12.412 * [taylor]: Taking taylor expansion of y in y 12.412 * [backup-simplify]: Simplify 0 into 0 12.412 * [backup-simplify]: Simplify 1 into 1 12.412 * [backup-simplify]: Simplify (+ x 0) into x 12.412 * [backup-simplify]: Simplify (/ x x) into 1 12.412 * [backup-simplify]: Simplify (sqrt 1) into 1 12.413 * [backup-simplify]: Simplify (+ 0 1) into 1 12.413 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 1 x)))) into (- (/ 1 x)) 12.413 * [backup-simplify]: Simplify (/ (- (/ 1 x)) (* 2 (sqrt 1))) into (/ -1/2 x) 12.413 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 12.413 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.413 * [taylor]: Taking taylor expansion of x in x 12.413 * [backup-simplify]: Simplify 0 into 0 12.413 * [backup-simplify]: Simplify 1 into 1 12.413 * [taylor]: Taking taylor expansion of (+ x y) in x 12.413 * [taylor]: Taking taylor expansion of x in x 12.413 * [backup-simplify]: Simplify 0 into 0 12.413 * [backup-simplify]: Simplify 1 into 1 12.413 * [taylor]: Taking taylor expansion of y in x 12.413 * [backup-simplify]: Simplify y into y 12.413 * [backup-simplify]: Simplify (+ 0 y) into y 12.413 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.414 * [backup-simplify]: Simplify (sqrt 0) into 0 12.414 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 12.414 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 12.414 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.414 * [taylor]: Taking taylor expansion of x in x 12.414 * [backup-simplify]: Simplify 0 into 0 12.414 * [backup-simplify]: Simplify 1 into 1 12.414 * [taylor]: Taking taylor expansion of (+ x y) in x 12.414 * [taylor]: Taking taylor expansion of x in x 12.414 * [backup-simplify]: Simplify 0 into 0 12.414 * [backup-simplify]: Simplify 1 into 1 12.414 * [taylor]: Taking taylor expansion of y in x 12.414 * [backup-simplify]: Simplify y into y 12.414 * [backup-simplify]: Simplify (+ 0 y) into y 12.414 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.415 * [backup-simplify]: Simplify (sqrt 0) into 0 12.415 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 12.415 * [taylor]: Taking taylor expansion of 0 in y 12.415 * [backup-simplify]: Simplify 0 into 0 12.415 * [backup-simplify]: Simplify 0 into 0 12.415 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 12.415 * [taylor]: Taking taylor expansion of +nan.0 in y 12.415 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.415 * [taylor]: Taking taylor expansion of y in y 12.415 * [backup-simplify]: Simplify 0 into 0 12.415 * [backup-simplify]: Simplify 1 into 1 12.415 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 12.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 12.416 * [backup-simplify]: Simplify 0 into 0 12.416 * [backup-simplify]: Simplify 0 into 0 12.416 * [backup-simplify]: Simplify (+ 1 0) into 1 12.416 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 12.417 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 2))) (pow (/ +nan.0 y) 2) (+)) (* 2 0)) into (/ +nan.0 (pow y 2)) 12.417 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 12.417 * [taylor]: Taking taylor expansion of +nan.0 in y 12.417 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.417 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.417 * [taylor]: Taking taylor expansion of y in y 12.417 * [backup-simplify]: Simplify 0 into 0 12.417 * [backup-simplify]: Simplify 1 into 1 12.417 * [backup-simplify]: Simplify (* 1 1) into 1 12.418 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 12.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 12.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.420 * [backup-simplify]: Simplify 0 into 0 12.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.420 * [backup-simplify]: Simplify 0 into 0 12.420 * [backup-simplify]: Simplify 0 into 0 12.420 * [backup-simplify]: Simplify 0 into 0 12.421 * [backup-simplify]: Simplify (sqrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 12.421 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 12.421 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 12.421 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.421 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.421 * [taylor]: Taking taylor expansion of x in y 12.421 * [backup-simplify]: Simplify x into x 12.421 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.421 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.421 * [taylor]: Taking taylor expansion of y in y 12.421 * [backup-simplify]: Simplify 0 into 0 12.421 * [backup-simplify]: Simplify 1 into 1 12.421 * [backup-simplify]: Simplify (/ 1 1) into 1 12.421 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.421 * [taylor]: Taking taylor expansion of x in y 12.421 * [backup-simplify]: Simplify x into x 12.421 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.421 * [backup-simplify]: Simplify (+ 1 0) into 1 12.421 * [backup-simplify]: Simplify (* x 1) into x 12.421 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.422 * [backup-simplify]: Simplify (sqrt 0) into 0 12.422 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 12.422 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.422 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.422 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.422 * [taylor]: Taking taylor expansion of x in x 12.422 * [backup-simplify]: Simplify 0 into 0 12.422 * [backup-simplify]: Simplify 1 into 1 12.422 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.422 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.422 * [taylor]: Taking taylor expansion of y in x 12.422 * [backup-simplify]: Simplify y into y 12.422 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.422 * [taylor]: Taking taylor expansion of x in x 12.422 * [backup-simplify]: Simplify 0 into 0 12.422 * [backup-simplify]: Simplify 1 into 1 12.423 * [backup-simplify]: Simplify (/ 1 1) into 1 12.423 * [backup-simplify]: Simplify (+ 0 1) into 1 12.423 * [backup-simplify]: Simplify (* 0 1) into 0 12.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.424 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.424 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.424 * [backup-simplify]: Simplify (/ 1 1) into 1 12.424 * [backup-simplify]: Simplify (sqrt 1) into 1 12.424 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.425 * [backup-simplify]: Simplify (+ 0 0) into 0 12.426 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.426 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.426 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.426 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.426 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.426 * [taylor]: Taking taylor expansion of x in x 12.426 * [backup-simplify]: Simplify 0 into 0 12.426 * [backup-simplify]: Simplify 1 into 1 12.426 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.426 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.426 * [taylor]: Taking taylor expansion of y in x 12.426 * [backup-simplify]: Simplify y into y 12.426 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.426 * [taylor]: Taking taylor expansion of x in x 12.426 * [backup-simplify]: Simplify 0 into 0 12.426 * [backup-simplify]: Simplify 1 into 1 12.427 * [backup-simplify]: Simplify (/ 1 1) into 1 12.427 * [backup-simplify]: Simplify (+ 0 1) into 1 12.427 * [backup-simplify]: Simplify (* 0 1) into 0 12.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.428 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.428 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.428 * [backup-simplify]: Simplify (/ 1 1) into 1 12.428 * [backup-simplify]: Simplify (sqrt 1) into 1 12.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.429 * [backup-simplify]: Simplify (+ 0 0) into 0 12.430 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.430 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.430 * [taylor]: Taking taylor expansion of 1 in y 12.430 * [backup-simplify]: Simplify 1 into 1 12.430 * [backup-simplify]: Simplify 1 into 1 12.430 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 12.430 * [taylor]: Taking taylor expansion of -1/2 in y 12.430 * [backup-simplify]: Simplify -1/2 into -1/2 12.430 * [taylor]: Taking taylor expansion of y in y 12.431 * [backup-simplify]: Simplify 0 into 0 12.431 * [backup-simplify]: Simplify 1 into 1 12.431 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.431 * [backup-simplify]: Simplify 0 into 0 12.431 * [backup-simplify]: Simplify 0 into 0 12.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.432 * [backup-simplify]: Simplify (+ 0 0) into 0 12.436 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.437 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 12.437 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 12.437 * [taylor]: Taking taylor expansion of 3/8 in y 12.437 * [backup-simplify]: Simplify 3/8 into 3/8 12.438 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.438 * [taylor]: Taking taylor expansion of y in y 12.438 * [backup-simplify]: Simplify 0 into 0 12.438 * [backup-simplify]: Simplify 1 into 1 12.438 * [backup-simplify]: Simplify (* 1 1) into 1 12.438 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 12.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 12.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.440 * [backup-simplify]: Simplify 0 into 0 12.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.441 * [backup-simplify]: Simplify 0 into 0 12.441 * [backup-simplify]: Simplify 0 into 0 12.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.442 * [backup-simplify]: Simplify (+ 0 0) into 0 12.442 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 12.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 12.444 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 12.444 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 12.444 * [taylor]: Taking taylor expansion of -5/16 in y 12.444 * [backup-simplify]: Simplify -5/16 into -5/16 12.444 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.444 * [taylor]: Taking taylor expansion of y in y 12.444 * [backup-simplify]: Simplify 0 into 0 12.444 * [backup-simplify]: Simplify 1 into 1 12.444 * [backup-simplify]: Simplify (* 1 1) into 1 12.444 * [backup-simplify]: Simplify (* 1 1) into 1 12.445 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 12.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 12.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.449 * [backup-simplify]: Simplify 0 into 0 12.449 * [backup-simplify]: Simplify 1 into 1 12.449 * [backup-simplify]: Simplify (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 12.449 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 12.449 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 12.450 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.450 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.450 * [taylor]: Taking taylor expansion of x in y 12.450 * [backup-simplify]: Simplify x into x 12.450 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.450 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.450 * [taylor]: Taking taylor expansion of y in y 12.450 * [backup-simplify]: Simplify 0 into 0 12.450 * [backup-simplify]: Simplify 1 into 1 12.450 * [backup-simplify]: Simplify (/ 1 1) into 1 12.450 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.450 * [taylor]: Taking taylor expansion of x in y 12.450 * [backup-simplify]: Simplify x into x 12.450 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.450 * [backup-simplify]: Simplify (+ 1 0) into 1 12.450 * [backup-simplify]: Simplify (* x 1) into x 12.450 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.451 * [backup-simplify]: Simplify (sqrt 0) into 0 12.451 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 12.451 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.451 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.451 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.451 * [taylor]: Taking taylor expansion of x in x 12.451 * [backup-simplify]: Simplify 0 into 0 12.451 * [backup-simplify]: Simplify 1 into 1 12.451 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.451 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.451 * [taylor]: Taking taylor expansion of y in x 12.451 * [backup-simplify]: Simplify y into y 12.451 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.451 * [taylor]: Taking taylor expansion of x in x 12.451 * [backup-simplify]: Simplify 0 into 0 12.451 * [backup-simplify]: Simplify 1 into 1 12.451 * [backup-simplify]: Simplify (/ 1 1) into 1 12.452 * [backup-simplify]: Simplify (+ 0 1) into 1 12.452 * [backup-simplify]: Simplify (* 0 1) into 0 12.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.453 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.453 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.453 * [backup-simplify]: Simplify (/ 1 1) into 1 12.453 * [backup-simplify]: Simplify (sqrt 1) into 1 12.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.454 * [backup-simplify]: Simplify (+ 0 0) into 0 12.455 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.455 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.455 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.455 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.455 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.455 * [taylor]: Taking taylor expansion of x in x 12.455 * [backup-simplify]: Simplify 0 into 0 12.455 * [backup-simplify]: Simplify 1 into 1 12.455 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.455 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.455 * [taylor]: Taking taylor expansion of y in x 12.455 * [backup-simplify]: Simplify y into y 12.455 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.455 * [taylor]: Taking taylor expansion of x in x 12.456 * [backup-simplify]: Simplify 0 into 0 12.456 * [backup-simplify]: Simplify 1 into 1 12.456 * [backup-simplify]: Simplify (/ 1 1) into 1 12.456 * [backup-simplify]: Simplify (+ 0 1) into 1 12.456 * [backup-simplify]: Simplify (* 0 1) into 0 12.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.457 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.458 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.458 * [backup-simplify]: Simplify (/ 1 1) into 1 12.458 * [backup-simplify]: Simplify (sqrt 1) into 1 12.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.459 * [backup-simplify]: Simplify (+ 0 0) into 0 12.460 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.460 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.460 * [taylor]: Taking taylor expansion of 1 in y 12.460 * [backup-simplify]: Simplify 1 into 1 12.460 * [backup-simplify]: Simplify 1 into 1 12.460 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 12.460 * [taylor]: Taking taylor expansion of -1/2 in y 12.460 * [backup-simplify]: Simplify -1/2 into -1/2 12.460 * [taylor]: Taking taylor expansion of y in y 12.460 * [backup-simplify]: Simplify 0 into 0 12.460 * [backup-simplify]: Simplify 1 into 1 12.461 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.461 * [backup-simplify]: Simplify 0 into 0 12.461 * [backup-simplify]: Simplify 0 into 0 12.461 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.462 * [backup-simplify]: Simplify (+ 0 0) into 0 12.463 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.464 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 12.464 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 12.464 * [taylor]: Taking taylor expansion of 3/8 in y 12.464 * [backup-simplify]: Simplify 3/8 into 3/8 12.464 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.464 * [taylor]: Taking taylor expansion of y in y 12.464 * [backup-simplify]: Simplify 0 into 0 12.464 * [backup-simplify]: Simplify 1 into 1 12.464 * [backup-simplify]: Simplify (* 1 1) into 1 12.465 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 12.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 12.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.467 * [backup-simplify]: Simplify 0 into 0 12.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.467 * [backup-simplify]: Simplify 0 into 0 12.467 * [backup-simplify]: Simplify 0 into 0 12.467 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.468 * [backup-simplify]: Simplify (+ 0 0) into 0 12.469 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 12.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 12.471 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 12.471 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 12.471 * [taylor]: Taking taylor expansion of -5/16 in y 12.471 * [backup-simplify]: Simplify -5/16 into -5/16 12.471 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.471 * [taylor]: Taking taylor expansion of y in y 12.471 * [backup-simplify]: Simplify 0 into 0 12.471 * [backup-simplify]: Simplify 1 into 1 12.471 * [backup-simplify]: Simplify (* 1 1) into 1 12.472 * [backup-simplify]: Simplify (* 1 1) into 1 12.472 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 12.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 12.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.477 * [backup-simplify]: Simplify 0 into 0 12.477 * [backup-simplify]: Simplify 1 into 1 12.477 * * * * [progress]: [ 3 / 4 ] generating series at (2) 12.477 * [backup-simplify]: Simplify (* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x)))) into (/ x (+ x y)) 12.477 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 12.477 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 12.477 * [taylor]: Taking taylor expansion of x in y 12.477 * [backup-simplify]: Simplify x into x 12.477 * [taylor]: Taking taylor expansion of (+ x y) in y 12.477 * [taylor]: Taking taylor expansion of x in y 12.477 * [backup-simplify]: Simplify x into x 12.477 * [taylor]: Taking taylor expansion of y in y 12.477 * [backup-simplify]: Simplify 0 into 0 12.477 * [backup-simplify]: Simplify 1 into 1 12.477 * [backup-simplify]: Simplify (+ x 0) into x 12.477 * [backup-simplify]: Simplify (/ x x) into 1 12.477 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.477 * [taylor]: Taking taylor expansion of x in x 12.477 * [backup-simplify]: Simplify 0 into 0 12.477 * [backup-simplify]: Simplify 1 into 1 12.477 * [taylor]: Taking taylor expansion of (+ x y) in x 12.477 * [taylor]: Taking taylor expansion of x in x 12.477 * [backup-simplify]: Simplify 0 into 0 12.477 * [backup-simplify]: Simplify 1 into 1 12.477 * [taylor]: Taking taylor expansion of y in x 12.477 * [backup-simplify]: Simplify y into y 12.477 * [backup-simplify]: Simplify (+ 0 y) into y 12.477 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.477 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.477 * [taylor]: Taking taylor expansion of x in x 12.477 * [backup-simplify]: Simplify 0 into 0 12.478 * [backup-simplify]: Simplify 1 into 1 12.478 * [taylor]: Taking taylor expansion of (+ x y) in x 12.478 * [taylor]: Taking taylor expansion of x in x 12.478 * [backup-simplify]: Simplify 0 into 0 12.478 * [backup-simplify]: Simplify 1 into 1 12.478 * [taylor]: Taking taylor expansion of y in x 12.478 * [backup-simplify]: Simplify y into y 12.478 * [backup-simplify]: Simplify (+ 0 y) into y 12.478 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.478 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.478 * [taylor]: Taking taylor expansion of y in y 12.478 * [backup-simplify]: Simplify 0 into 0 12.478 * [backup-simplify]: Simplify 1 into 1 12.478 * [backup-simplify]: Simplify (/ 1 1) into 1 12.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.478 * [backup-simplify]: Simplify 0 into 0 12.479 * [backup-simplify]: Simplify (+ 1 0) into 1 12.479 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 12.479 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 12.479 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.479 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.479 * [taylor]: Taking taylor expansion of y in y 12.479 * [backup-simplify]: Simplify 0 into 0 12.479 * [backup-simplify]: Simplify 1 into 1 12.479 * [backup-simplify]: Simplify (* 1 1) into 1 12.479 * [backup-simplify]: Simplify (/ 1 1) into 1 12.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.482 * [backup-simplify]: Simplify (- 0) into 0 12.482 * [backup-simplify]: Simplify 0 into 0 12.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.482 * [backup-simplify]: Simplify 0 into 0 12.482 * [backup-simplify]: Simplify (+ 0 0) into 0 12.483 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 12.483 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 12.483 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.483 * [taylor]: Taking taylor expansion of y in y 12.483 * [backup-simplify]: Simplify 0 into 0 12.483 * [backup-simplify]: Simplify 1 into 1 12.483 * [backup-simplify]: Simplify (* 1 1) into 1 12.483 * [backup-simplify]: Simplify (* 1 1) into 1 12.483 * [backup-simplify]: Simplify (/ 1 1) into 1 12.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.488 * [backup-simplify]: Simplify 0 into 0 12.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.489 * [backup-simplify]: Simplify (- 0) into 0 12.489 * [backup-simplify]: Simplify 0 into 0 12.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.490 * [backup-simplify]: Simplify 0 into 0 12.490 * [backup-simplify]: Simplify 0 into 0 12.490 * [backup-simplify]: Simplify (* (sqrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))) (sqrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 12.490 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 12.490 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.490 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.490 * [taylor]: Taking taylor expansion of x in y 12.490 * [backup-simplify]: Simplify x into x 12.490 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.490 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.490 * [taylor]: Taking taylor expansion of y in y 12.490 * [backup-simplify]: Simplify 0 into 0 12.490 * [backup-simplify]: Simplify 1 into 1 12.490 * [backup-simplify]: Simplify (/ 1 1) into 1 12.490 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.491 * [taylor]: Taking taylor expansion of x in y 12.491 * [backup-simplify]: Simplify x into x 12.491 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.491 * [backup-simplify]: Simplify (+ 1 0) into 1 12.491 * [backup-simplify]: Simplify (* x 1) into x 12.491 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.491 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.491 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.491 * [taylor]: Taking taylor expansion of x in x 12.491 * [backup-simplify]: Simplify 0 into 0 12.491 * [backup-simplify]: Simplify 1 into 1 12.491 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.491 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.491 * [taylor]: Taking taylor expansion of y in x 12.491 * [backup-simplify]: Simplify y into y 12.491 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.491 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.491 * [taylor]: Taking taylor expansion of x in x 12.491 * [backup-simplify]: Simplify 0 into 0 12.491 * [backup-simplify]: Simplify 1 into 1 12.491 * [backup-simplify]: Simplify (/ 1 1) into 1 12.492 * [backup-simplify]: Simplify (+ 0 1) into 1 12.492 * [backup-simplify]: Simplify (* 0 1) into 0 12.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.492 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.493 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.493 * [backup-simplify]: Simplify (/ 1 1) into 1 12.493 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.493 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.493 * [taylor]: Taking taylor expansion of x in x 12.493 * [backup-simplify]: Simplify 0 into 0 12.493 * [backup-simplify]: Simplify 1 into 1 12.493 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.493 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.493 * [taylor]: Taking taylor expansion of y in x 12.493 * [backup-simplify]: Simplify y into y 12.493 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.493 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.493 * [taylor]: Taking taylor expansion of x in x 12.493 * [backup-simplify]: Simplify 0 into 0 12.493 * [backup-simplify]: Simplify 1 into 1 12.493 * [backup-simplify]: Simplify (/ 1 1) into 1 12.494 * [backup-simplify]: Simplify (+ 0 1) into 1 12.494 * [backup-simplify]: Simplify (* 0 1) into 0 12.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.494 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.495 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.495 * [backup-simplify]: Simplify (/ 1 1) into 1 12.495 * [taylor]: Taking taylor expansion of 1 in y 12.495 * [backup-simplify]: Simplify 1 into 1 12.495 * [backup-simplify]: Simplify 0 into 0 12.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.496 * [backup-simplify]: Simplify (+ 0 0) into 0 12.496 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.497 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 12.497 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.497 * [taylor]: Taking taylor expansion of y in y 12.497 * [backup-simplify]: Simplify 0 into 0 12.497 * [backup-simplify]: Simplify 1 into 1 12.497 * [backup-simplify]: Simplify (/ 1 1) into 1 12.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.499 * [backup-simplify]: Simplify (- 0) into 0 12.499 * [backup-simplify]: Simplify 0 into 0 12.499 * [backup-simplify]: Simplify 0 into 0 12.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.501 * [backup-simplify]: Simplify (+ 0 0) into 0 12.502 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.503 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.503 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.503 * [taylor]: Taking taylor expansion of y in y 12.503 * [backup-simplify]: Simplify 0 into 0 12.503 * [backup-simplify]: Simplify 1 into 1 12.503 * [backup-simplify]: Simplify (* 1 1) into 1 12.504 * [backup-simplify]: Simplify (/ 1 1) into 1 12.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.509 * [backup-simplify]: Simplify 0 into 0 12.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.510 * [backup-simplify]: Simplify (- 0) into 0 12.510 * [backup-simplify]: Simplify 0 into 0 12.510 * [backup-simplify]: Simplify 0 into 0 12.510 * [backup-simplify]: Simplify 0 into 0 12.511 * [backup-simplify]: Simplify (* (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))) (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 12.511 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 12.511 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.511 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.511 * [taylor]: Taking taylor expansion of x in y 12.512 * [backup-simplify]: Simplify x into x 12.512 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.512 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.512 * [taylor]: Taking taylor expansion of y in y 12.512 * [backup-simplify]: Simplify 0 into 0 12.512 * [backup-simplify]: Simplify 1 into 1 12.512 * [backup-simplify]: Simplify (/ 1 1) into 1 12.512 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.512 * [taylor]: Taking taylor expansion of x in y 12.512 * [backup-simplify]: Simplify x into x 12.512 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.513 * [backup-simplify]: Simplify (+ 1 0) into 1 12.513 * [backup-simplify]: Simplify (* x 1) into x 12.513 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.513 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.513 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.513 * [taylor]: Taking taylor expansion of x in x 12.513 * [backup-simplify]: Simplify 0 into 0 12.513 * [backup-simplify]: Simplify 1 into 1 12.513 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.513 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.513 * [taylor]: Taking taylor expansion of y in x 12.513 * [backup-simplify]: Simplify y into y 12.513 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.513 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.513 * [taylor]: Taking taylor expansion of x in x 12.513 * [backup-simplify]: Simplify 0 into 0 12.513 * [backup-simplify]: Simplify 1 into 1 12.513 * [backup-simplify]: Simplify (/ 1 1) into 1 12.514 * [backup-simplify]: Simplify (+ 0 1) into 1 12.514 * [backup-simplify]: Simplify (* 0 1) into 0 12.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.514 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.515 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.515 * [backup-simplify]: Simplify (/ 1 1) into 1 12.515 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.515 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.515 * [taylor]: Taking taylor expansion of x in x 12.515 * [backup-simplify]: Simplify 0 into 0 12.515 * [backup-simplify]: Simplify 1 into 1 12.515 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.515 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.515 * [taylor]: Taking taylor expansion of y in x 12.515 * [backup-simplify]: Simplify y into y 12.515 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.515 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.515 * [taylor]: Taking taylor expansion of x in x 12.515 * [backup-simplify]: Simplify 0 into 0 12.515 * [backup-simplify]: Simplify 1 into 1 12.515 * [backup-simplify]: Simplify (/ 1 1) into 1 12.516 * [backup-simplify]: Simplify (+ 0 1) into 1 12.516 * [backup-simplify]: Simplify (* 0 1) into 0 12.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.516 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.517 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.517 * [backup-simplify]: Simplify (/ 1 1) into 1 12.517 * [taylor]: Taking taylor expansion of 1 in y 12.517 * [backup-simplify]: Simplify 1 into 1 12.517 * [backup-simplify]: Simplify 0 into 0 12.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.518 * [backup-simplify]: Simplify (+ 0 0) into 0 12.519 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.519 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 12.519 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.519 * [taylor]: Taking taylor expansion of y in y 12.519 * [backup-simplify]: Simplify 0 into 0 12.519 * [backup-simplify]: Simplify 1 into 1 12.519 * [backup-simplify]: Simplify (/ 1 1) into 1 12.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.520 * [backup-simplify]: Simplify (- 0) into 0 12.520 * [backup-simplify]: Simplify 0 into 0 12.520 * [backup-simplify]: Simplify 0 into 0 12.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.521 * [backup-simplify]: Simplify (+ 0 0) into 0 12.522 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.522 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.522 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.522 * [taylor]: Taking taylor expansion of y in y 12.522 * [backup-simplify]: Simplify 0 into 0 12.522 * [backup-simplify]: Simplify 1 into 1 12.523 * [backup-simplify]: Simplify (* 1 1) into 1 12.523 * [backup-simplify]: Simplify (/ 1 1) into 1 12.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.526 * [backup-simplify]: Simplify 0 into 0 12.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.527 * [backup-simplify]: Simplify (- 0) into 0 12.527 * [backup-simplify]: Simplify 0 into 0 12.527 * [backup-simplify]: Simplify 0 into 0 12.527 * [backup-simplify]: Simplify 0 into 0 12.527 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 12.527 * [backup-simplify]: Simplify (/ x (+ y x)) into (/ x (+ x y)) 12.527 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 12.527 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 12.527 * [taylor]: Taking taylor expansion of x in y 12.527 * [backup-simplify]: Simplify x into x 12.527 * [taylor]: Taking taylor expansion of (+ x y) in y 12.527 * [taylor]: Taking taylor expansion of x in y 12.527 * [backup-simplify]: Simplify x into x 12.527 * [taylor]: Taking taylor expansion of y in y 12.527 * [backup-simplify]: Simplify 0 into 0 12.527 * [backup-simplify]: Simplify 1 into 1 12.527 * [backup-simplify]: Simplify (+ x 0) into x 12.527 * [backup-simplify]: Simplify (/ x x) into 1 12.527 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.527 * [taylor]: Taking taylor expansion of x in x 12.527 * [backup-simplify]: Simplify 0 into 0 12.527 * [backup-simplify]: Simplify 1 into 1 12.527 * [taylor]: Taking taylor expansion of (+ x y) in x 12.527 * [taylor]: Taking taylor expansion of x in x 12.527 * [backup-simplify]: Simplify 0 into 0 12.527 * [backup-simplify]: Simplify 1 into 1 12.527 * [taylor]: Taking taylor expansion of y in x 12.527 * [backup-simplify]: Simplify y into y 12.527 * [backup-simplify]: Simplify (+ 0 y) into y 12.527 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.527 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.527 * [taylor]: Taking taylor expansion of x in x 12.527 * [backup-simplify]: Simplify 0 into 0 12.527 * [backup-simplify]: Simplify 1 into 1 12.527 * [taylor]: Taking taylor expansion of (+ x y) in x 12.527 * [taylor]: Taking taylor expansion of x in x 12.527 * [backup-simplify]: Simplify 0 into 0 12.527 * [backup-simplify]: Simplify 1 into 1 12.527 * [taylor]: Taking taylor expansion of y in x 12.527 * [backup-simplify]: Simplify y into y 12.528 * [backup-simplify]: Simplify (+ 0 y) into y 12.528 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.528 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.528 * [taylor]: Taking taylor expansion of y in y 12.528 * [backup-simplify]: Simplify 0 into 0 12.528 * [backup-simplify]: Simplify 1 into 1 12.528 * [backup-simplify]: Simplify (/ 1 1) into 1 12.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.528 * [backup-simplify]: Simplify 0 into 0 12.529 * [backup-simplify]: Simplify (+ 1 0) into 1 12.529 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 12.529 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 12.529 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.529 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.529 * [taylor]: Taking taylor expansion of y in y 12.529 * [backup-simplify]: Simplify 0 into 0 12.529 * [backup-simplify]: Simplify 1 into 1 12.529 * [backup-simplify]: Simplify (* 1 1) into 1 12.529 * [backup-simplify]: Simplify (/ 1 1) into 1 12.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.535 * [backup-simplify]: Simplify (- 0) into 0 12.535 * [backup-simplify]: Simplify 0 into 0 12.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.535 * [backup-simplify]: Simplify 0 into 0 12.535 * [backup-simplify]: Simplify (+ 0 0) into 0 12.536 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 12.536 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 12.536 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.536 * [taylor]: Taking taylor expansion of y in y 12.536 * [backup-simplify]: Simplify 0 into 0 12.536 * [backup-simplify]: Simplify 1 into 1 12.536 * [backup-simplify]: Simplify (* 1 1) into 1 12.536 * [backup-simplify]: Simplify (* 1 1) into 1 12.537 * [backup-simplify]: Simplify (/ 1 1) into 1 12.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.542 * [backup-simplify]: Simplify 0 into 0 12.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.544 * [backup-simplify]: Simplify (- 0) into 0 12.544 * [backup-simplify]: Simplify 0 into 0 12.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.545 * [backup-simplify]: Simplify 0 into 0 12.545 * [backup-simplify]: Simplify 0 into 0 12.545 * [backup-simplify]: Simplify (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 12.545 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 12.545 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.545 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.545 * [taylor]: Taking taylor expansion of x in y 12.545 * [backup-simplify]: Simplify x into x 12.545 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.545 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.545 * [taylor]: Taking taylor expansion of y in y 12.546 * [backup-simplify]: Simplify 0 into 0 12.546 * [backup-simplify]: Simplify 1 into 1 12.546 * [backup-simplify]: Simplify (/ 1 1) into 1 12.546 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.546 * [taylor]: Taking taylor expansion of x in y 12.546 * [backup-simplify]: Simplify x into x 12.546 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.546 * [backup-simplify]: Simplify (+ 1 0) into 1 12.547 * [backup-simplify]: Simplify (* x 1) into x 12.547 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.547 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.547 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.547 * [taylor]: Taking taylor expansion of x in x 12.547 * [backup-simplify]: Simplify 0 into 0 12.547 * [backup-simplify]: Simplify 1 into 1 12.547 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.547 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.547 * [taylor]: Taking taylor expansion of y in x 12.547 * [backup-simplify]: Simplify y into y 12.547 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.547 * [taylor]: Taking taylor expansion of x in x 12.547 * [backup-simplify]: Simplify 0 into 0 12.547 * [backup-simplify]: Simplify 1 into 1 12.547 * [backup-simplify]: Simplify (/ 1 1) into 1 12.548 * [backup-simplify]: Simplify (+ 0 1) into 1 12.548 * [backup-simplify]: Simplify (* 0 1) into 0 12.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.549 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.550 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.550 * [backup-simplify]: Simplify (/ 1 1) into 1 12.550 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.550 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.550 * [taylor]: Taking taylor expansion of x in x 12.550 * [backup-simplify]: Simplify 0 into 0 12.550 * [backup-simplify]: Simplify 1 into 1 12.550 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.550 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.550 * [taylor]: Taking taylor expansion of y in x 12.550 * [backup-simplify]: Simplify y into y 12.550 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.550 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.550 * [taylor]: Taking taylor expansion of x in x 12.550 * [backup-simplify]: Simplify 0 into 0 12.550 * [backup-simplify]: Simplify 1 into 1 12.551 * [backup-simplify]: Simplify (/ 1 1) into 1 12.551 * [backup-simplify]: Simplify (+ 0 1) into 1 12.552 * [backup-simplify]: Simplify (* 0 1) into 0 12.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.552 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.553 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.553 * [backup-simplify]: Simplify (/ 1 1) into 1 12.553 * [taylor]: Taking taylor expansion of 1 in y 12.553 * [backup-simplify]: Simplify 1 into 1 12.553 * [backup-simplify]: Simplify 0 into 0 12.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.555 * [backup-simplify]: Simplify (+ 0 0) into 0 12.556 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.556 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 12.556 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.556 * [taylor]: Taking taylor expansion of y in y 12.556 * [backup-simplify]: Simplify 0 into 0 12.556 * [backup-simplify]: Simplify 1 into 1 12.556 * [backup-simplify]: Simplify (/ 1 1) into 1 12.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.559 * [backup-simplify]: Simplify (- 0) into 0 12.559 * [backup-simplify]: Simplify 0 into 0 12.559 * [backup-simplify]: Simplify 0 into 0 12.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.561 * [backup-simplify]: Simplify (+ 0 0) into 0 12.562 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.563 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.563 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.563 * [taylor]: Taking taylor expansion of y in y 12.563 * [backup-simplify]: Simplify 0 into 0 12.563 * [backup-simplify]: Simplify 1 into 1 12.563 * [backup-simplify]: Simplify (* 1 1) into 1 12.564 * [backup-simplify]: Simplify (/ 1 1) into 1 12.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.570 * [backup-simplify]: Simplify 0 into 0 12.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.571 * [backup-simplify]: Simplify (- 0) into 0 12.571 * [backup-simplify]: Simplify 0 into 0 12.571 * [backup-simplify]: Simplify 0 into 0 12.571 * [backup-simplify]: Simplify 0 into 0 12.571 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 12.571 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 12.571 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.571 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.571 * [taylor]: Taking taylor expansion of x in y 12.571 * [backup-simplify]: Simplify x into x 12.571 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.571 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.571 * [taylor]: Taking taylor expansion of y in y 12.572 * [backup-simplify]: Simplify 0 into 0 12.572 * [backup-simplify]: Simplify 1 into 1 12.572 * [backup-simplify]: Simplify (/ 1 1) into 1 12.572 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.572 * [taylor]: Taking taylor expansion of x in y 12.572 * [backup-simplify]: Simplify x into x 12.572 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.572 * [backup-simplify]: Simplify (+ 1 0) into 1 12.573 * [backup-simplify]: Simplify (* x 1) into x 12.573 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.573 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.573 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.573 * [taylor]: Taking taylor expansion of x in x 12.573 * [backup-simplify]: Simplify 0 into 0 12.573 * [backup-simplify]: Simplify 1 into 1 12.573 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.573 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.573 * [taylor]: Taking taylor expansion of y in x 12.573 * [backup-simplify]: Simplify y into y 12.573 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.573 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.573 * [taylor]: Taking taylor expansion of x in x 12.573 * [backup-simplify]: Simplify 0 into 0 12.573 * [backup-simplify]: Simplify 1 into 1 12.573 * [backup-simplify]: Simplify (/ 1 1) into 1 12.574 * [backup-simplify]: Simplify (+ 0 1) into 1 12.574 * [backup-simplify]: Simplify (* 0 1) into 0 12.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.575 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.575 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.576 * [backup-simplify]: Simplify (/ 1 1) into 1 12.576 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.576 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.576 * [taylor]: Taking taylor expansion of x in x 12.576 * [backup-simplify]: Simplify 0 into 0 12.576 * [backup-simplify]: Simplify 1 into 1 12.576 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.576 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.576 * [taylor]: Taking taylor expansion of y in x 12.576 * [backup-simplify]: Simplify y into y 12.576 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.576 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.576 * [taylor]: Taking taylor expansion of x in x 12.576 * [backup-simplify]: Simplify 0 into 0 12.576 * [backup-simplify]: Simplify 1 into 1 12.577 * [backup-simplify]: Simplify (/ 1 1) into 1 12.577 * [backup-simplify]: Simplify (+ 0 1) into 1 12.577 * [backup-simplify]: Simplify (* 0 1) into 0 12.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.578 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.579 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.579 * [backup-simplify]: Simplify (/ 1 1) into 1 12.579 * [taylor]: Taking taylor expansion of 1 in y 12.579 * [backup-simplify]: Simplify 1 into 1 12.579 * [backup-simplify]: Simplify 0 into 0 12.580 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.581 * [backup-simplify]: Simplify (+ 0 0) into 0 12.582 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.582 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 12.582 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.582 * [taylor]: Taking taylor expansion of y in y 12.582 * [backup-simplify]: Simplify 0 into 0 12.582 * [backup-simplify]: Simplify 1 into 1 12.582 * [backup-simplify]: Simplify (/ 1 1) into 1 12.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.584 * [backup-simplify]: Simplify (- 0) into 0 12.584 * [backup-simplify]: Simplify 0 into 0 12.584 * [backup-simplify]: Simplify 0 into 0 12.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.586 * [backup-simplify]: Simplify (+ 0 0) into 0 12.587 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.588 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.588 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.588 * [taylor]: Taking taylor expansion of y in y 12.588 * [backup-simplify]: Simplify 0 into 0 12.588 * [backup-simplify]: Simplify 1 into 1 12.588 * [backup-simplify]: Simplify (* 1 1) into 1 12.589 * [backup-simplify]: Simplify (/ 1 1) into 1 12.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.593 * [backup-simplify]: Simplify 0 into 0 12.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.594 * [backup-simplify]: Simplify (- 0) into 0 12.594 * [backup-simplify]: Simplify 0 into 0 12.594 * [backup-simplify]: Simplify 0 into 0 12.594 * [backup-simplify]: Simplify 0 into 0 12.594 * * * [progress]: simplifying candidates 12.597 * [simplify]: Simplifying: (expm1 (sqrt (/ x (+ y x)))) (log1p (sqrt (/ x (+ y x)))) (log (sqrt (/ x (+ y x)))) (exp (sqrt (/ x (+ y x)))) (* (cbrt (sqrt (/ x (+ y x)))) (cbrt (sqrt (/ x 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(cbrt (+ y x)))) (/ x (sqrt (+ y x))) (/ x 1) (/ x 1) (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 1 1 0 1 1 0 0 0 0 0 0 12.601 * * [simplify]: Extracting # 0 : cost 0 12.601 * * [simplify]: Extracting # 1 : cost 0 12.601 * * [simplify]: Extracting # 2 : cost 0 12.602 * * [simplify]: Extracting # 3 : cost 0 12.602 * * [simplify]: Extracting # 4 : cost 0 12.602 * * [simplify]: Extracting # 5 : cost 0 12.602 * * [simplify]: Extracting # 6 : cost 0 12.603 * * [simplify]: Extracting # 7 : cost 0 12.603 * * [simplify]: iteration 0 : 183 enodes (cost 3207 ) 12.661 * * [simplify]: Extracting # 0 : cost 0 12.662 * * [simplify]: Extracting # 1 : cost 0 12.662 * * [simplify]: Extracting # 2 : cost 0 12.662 * * [simplify]: Extracting # 3 : cost 0 12.663 * * [simplify]: Extracting # 4 : cost 0 12.663 * * [simplify]: iteration 1 : 298 enodes (cost 2251 ) 12.769 * * [simplify]: Extracting # 0 : cost 0 12.770 * * [simplify]: Extracting # 1 : cost 0 12.771 * * [simplify]: Extracting # 2 : cost 0 12.772 * * [simplify]: Extracting # 3 : cost 0 12.774 * * [simplify]: Extracting # 4 : cost 0 12.775 * * [simplify]: iteration 2 : 911 enodes (cost 2129 ) 13.428 * * [simplify]: Extracting # 0 : cost 0 13.433 * * [simplify]: Extracting # 1 : cost 0 13.437 * * [simplify]: Extracting # 2 : cost 0 13.442 * * [simplify]: Extracting # 3 : cost 0 13.446 * * [simplify]: Extracting # 4 : cost 0 13.451 * * [simplify]: Extracting # 5 : cost 0 13.455 * * [simplify]: iteration 3 : 2301 enodes (cost 2090 ) 14.504 * * [simplify]: Extracting # 0 : cost 0 14.510 * * [simplify]: Extracting # 1 : cost 0 14.516 * * [simplify]: Extracting # 2 : cost 0 14.525 * * [simplify]: Extracting # 3 : cost 0 14.535 * * [simplify]: Extracting # 4 : cost 0 14.545 * * [simplify]: iteration done: 5000 enodes (cost 2062 ) 14.547 * [simplify]: Simplified to: (expm1 (sqrt (/ x (+ y x)))) (log1p (sqrt (/ x (+ y x)))) (log (sqrt (/ x (+ y x)))) (exp (sqrt 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(/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (sqrt x) (/ (sqrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 1 1 0 1 1 0 0 0 0 0 0 14.550 * * * [progress]: adding candidates to table 15.147 * [progress]: [Phase 3 of 3] Extracting. 15.147 * * [regime]: Finding splitpoints for: (# # # #) 15.148 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ x y)) y x) 15.148 * * * * [regimes]: Trying to branch on (/ x (+ x y)) from (# # # #) 15.169 * * * * [regimes]: Trying to branch on y from (# # # #) 15.185 * * * * [regimes]: Trying to branch on x from (# # # #) 15.198 * * * [regime]: Found split indices: #