49.808 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying: (/ x (+ y x)) 0.025 * * [simplify]: Extracting # 0 : cost 0 0.025 * * [simplify]: Extracting # 1 : cost 0 0.025 * * [simplify]: Extracting # 2 : cost 0 0.025 * * [simplify]: Extracting # 3 : cost 0 0.025 * * [simplify]: Extracting # 4 : cost 0 0.025 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.027 * * [simplify]: Extracting # 0 : cost 0 0.027 * * [simplify]: iteration 1 : 5 enodes (cost 5 ) 0.028 * * [simplify]: Extracting # 0 : cost 0 0.028 * * [simplify]: iteration done: 5 enodes (cost 5 ) 0.028 * [simplify]: Simplified to: (/ x (+ y x)) 0.029 * * [progress]: iteration 1 / 4 0.029 * * * [progress]: picking best candidate 0.030 * * * * [pick]: Picked # 0.031 * * * [progress]: localizing error 0.038 * * * [progress]: generating rewritten candidates 0.038 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.057 * * * [progress]: generating series expansions 0.057 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.057 * [backup-simplify]: Simplify (/ x (+ y x)) into (/ x (+ x y)) 0.057 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.057 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [backup-simplify]: Simplify x into x 0.057 * [taylor]: Taking taylor expansion of (+ x y) in y 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [backup-simplify]: Simplify x into x 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.058 * [backup-simplify]: Simplify (+ x 0) into x 0.058 * [backup-simplify]: Simplify (/ x x) into 1 0.058 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [taylor]: Taking taylor expansion of (+ x y) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [backup-simplify]: Simplify y into y 0.058 * [backup-simplify]: Simplify (+ 0 y) into y 0.058 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.058 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [taylor]: Taking taylor expansion of (+ x y) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [backup-simplify]: Simplify y into y 0.058 * [backup-simplify]: Simplify (+ 0 y) into y 0.058 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 1 into 1 0.064 * [backup-simplify]: Simplify (/ 1 1) into 1 0.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify (+ 1 0) into 1 0.065 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.065 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (* 1 1) into 1 0.066 * [backup-simplify]: Simplify (/ 1 1) into 1 0.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.068 * [backup-simplify]: Simplify (- 0) into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (+ 0 0) into 0 0.069 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.069 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (* 1 1) into 1 0.070 * [backup-simplify]: Simplify (* 1 1) into 1 0.070 * [backup-simplify]: Simplify (/ 1 1) into 1 0.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify (- 0) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.077 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.077 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.077 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.077 * [taylor]: Taking taylor expansion of x in y 0.077 * [backup-simplify]: Simplify x into x 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.077 * [taylor]: Taking taylor expansion of y in y 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 0.077 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.077 * [taylor]: Taking taylor expansion of x in y 0.077 * [backup-simplify]: Simplify x into x 0.077 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.078 * [backup-simplify]: Simplify (+ 1 0) into 1 0.078 * [backup-simplify]: Simplify (* x 1) into x 0.078 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.078 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.078 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [backup-simplify]: Simplify y into y 0.078 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (/ 1 1) into 1 0.078 * [backup-simplify]: Simplify (+ 0 1) into 1 0.079 * [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 0.081 * [backup-simplify]: Simplify y into y 0.081 * [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 0.081 * [backup-simplify]: Simplify (/ 1 1) into 1 0.081 * [backup-simplify]: Simplify (+ 0 1) into 1 0.082 * [backup-simplify]: Simplify (* 0 1) into 0 0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.083 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.083 * [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 0.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.086 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.086 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (/ 1 1) into 1 0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (- 0) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.092 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (* 1 1) into 1 0.093 * [backup-simplify]: Simplify (/ 1 1) into 1 0.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.097 * [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 0.098 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (- 0) into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.099 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.099 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.099 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.099 * [taylor]: Taking taylor expansion of x in y 0.099 * [backup-simplify]: Simplify x into x 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.099 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (/ 1 1) into 1 0.100 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.100 * [taylor]: Taking taylor expansion of x in y 0.100 * [backup-simplify]: Simplify x into x 0.100 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.100 * [backup-simplify]: Simplify (+ 1 0) into 1 0.101 * [backup-simplify]: Simplify (* x 1) into x 0.101 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.101 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.101 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 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 * [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 0.102 * [backup-simplify]: Simplify (+ 0 1) into 1 0.102 * [backup-simplify]: Simplify (* 0 1) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.103 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.104 * [backup-simplify]: Simplify (/ 1 1) into 1 0.104 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.104 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.104 * [taylor]: Taking taylor expansion of y in x 0.104 * [backup-simplify]: Simplify y into y 0.104 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.104 * [taylor]: Taking taylor expansion of x in x 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 (+ 0 1) into 1 0.105 * [backup-simplify]: Simplify (* 0 1) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.106 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.107 * [backup-simplify]: Simplify (/ 1 1) into 1 0.107 * [taylor]: Taking taylor expansion of 1 in y 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.109 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.109 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (/ 1 1) into 1 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.115 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.115 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (* 1 1) into 1 0.116 * [backup-simplify]: Simplify (/ 1 1) into 1 0.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (- 0) into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * * * [progress]: simplifying candidates 0.122 * [simplify]: Simplifying: (- (log x) (log (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (/ (* (* x x) x) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x))) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (/ 1 1) (/ x (+ y x)) (/ 1 1) (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) (/ x 1) (/ x 1) (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0.123 * * [simplify]: Extracting # 0 : cost 0 0.123 * * [simplify]: Extracting # 1 : cost 0 0.123 * * [simplify]: Extracting # 2 : cost 0 0.123 * * [simplify]: Extracting # 3 : cost 0 0.123 * * [simplify]: Extracting # 4 : cost 0 0.123 * * [simplify]: Extracting # 5 : cost 0 0.123 * * [simplify]: Extracting # 6 : cost 0 0.124 * * [simplify]: Extracting # 7 : cost 0 0.124 * * [simplify]: iteration 0 : 59 enodes (cost 324 ) 0.136 * * [simplify]: Extracting # 0 : cost 0 0.136 * * [simplify]: Extracting # 1 : cost 0 0.137 * * [simplify]: Extracting # 2 : cost 0 0.137 * * [simplify]: Extracting # 3 : cost 0 0.137 * * [simplify]: Extracting # 4 : cost 0 0.137 * * [simplify]: iteration 1 : 119 enodes (cost 305 ) 0.174 * * [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 0.177 * * [simplify]: Extracting # 4 : cost 0 0.177 * * [simplify]: iteration 2 : 270 enodes (cost 287 ) 0.268 * * [simplify]: Extracting # 0 : cost 0 0.268 * * [simplify]: Extracting # 1 : cost 0 0.269 * * [simplify]: Extracting # 2 : cost 0 0.269 * * [simplify]: Extracting # 3 : cost 0 0.270 * * [simplify]: Extracting # 4 : cost 0 0.270 * * [simplify]: iteration 3 : 550 enodes (cost 287 ) 0.615 * * [simplify]: Extracting # 0 : cost 0 0.617 * * [simplify]: Extracting # 1 : cost 0 0.620 * * [simplify]: Extracting # 2 : cost 0 0.622 * * [simplify]: Extracting # 3 : cost 0 0.625 * * [simplify]: iteration 4 : 1428 enodes (cost 287 ) 2.981 * * [simplify]: Extracting # 0 : cost 0 2.991 * * [simplify]: Extracting # 1 : cost 0 2.996 * * [simplify]: Extracting # 2 : cost 0 3.004 * * [simplify]: Extracting # 3 : cost 0 3.011 * * [simplify]: Extracting # 4 : cost 0 3.018 * * [simplify]: iteration 5 : 4631 enodes (cost 287 ) 4.431 * * [simplify]: Extracting # 0 : cost 0 4.435 * * [simplify]: Extracting # 1 : cost 0 4.440 * * [simplify]: Extracting # 2 : cost 0 4.452 * * [simplify]: Extracting # 3 : cost 0 4.457 * * [simplify]: iteration done: 5000 enodes (cost 287 ) 4.457 * [simplify]: Simplified to: (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) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (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 0 0 4.458 * * * [progress]: adding candidates to table 4.543 * * [progress]: iteration 2 / 4 4.543 * * * [progress]: picking best candidate 4.549 * * * * [pick]: Picked # 4.549 * * * [progress]: localizing error 4.555 * * * [progress]: generating rewritten candidates 4.555 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.586 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 4.605 * * * [progress]: generating series expansions 4.605 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.605 * [backup-simplify]: Simplify (* x (/ 1 (+ y x))) into (/ x (+ x y)) 4.605 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 4.605 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 4.605 * [taylor]: Taking taylor expansion of x in y 4.605 * [backup-simplify]: Simplify x into x 4.605 * [taylor]: Taking taylor expansion of (+ x y) in y 4.605 * [taylor]: Taking taylor expansion of x in y 4.605 * [backup-simplify]: Simplify x into x 4.605 * [taylor]: Taking taylor expansion of y in y 4.605 * [backup-simplify]: Simplify 0 into 0 4.605 * [backup-simplify]: Simplify 1 into 1 4.606 * [backup-simplify]: Simplify (+ x 0) into x 4.606 * [backup-simplify]: Simplify (/ x x) into 1 4.606 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 4.606 * [taylor]: Taking taylor expansion of x in x 4.606 * [backup-simplify]: Simplify 0 into 0 4.606 * [backup-simplify]: Simplify 1 into 1 4.606 * [taylor]: Taking taylor expansion of (+ x y) in x 4.606 * [taylor]: Taking taylor expansion of x in x 4.606 * [backup-simplify]: Simplify 0 into 0 4.606 * [backup-simplify]: Simplify 1 into 1 4.606 * [taylor]: Taking taylor expansion of y in x 4.606 * [backup-simplify]: Simplify y into y 4.606 * [backup-simplify]: Simplify (+ 0 y) into y 4.606 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.606 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 4.606 * [taylor]: Taking taylor expansion of x in x 4.606 * [backup-simplify]: Simplify 0 into 0 4.606 * [backup-simplify]: Simplify 1 into 1 4.606 * [taylor]: Taking taylor expansion of (+ x y) in x 4.606 * [taylor]: Taking taylor expansion of x in x 4.606 * [backup-simplify]: Simplify 0 into 0 4.606 * [backup-simplify]: Simplify 1 into 1 4.606 * [taylor]: Taking taylor expansion of y in x 4.606 * [backup-simplify]: Simplify y into y 4.606 * [backup-simplify]: Simplify (+ 0 y) into y 4.606 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.606 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.606 * [taylor]: Taking taylor expansion of y in y 4.606 * [backup-simplify]: Simplify 0 into 0 4.606 * [backup-simplify]: Simplify 1 into 1 4.607 * [backup-simplify]: Simplify (/ 1 1) into 1 4.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.607 * [backup-simplify]: Simplify 0 into 0 4.608 * [backup-simplify]: Simplify (+ 1 0) into 1 4.608 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 4.608 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 4.608 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.608 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.608 * [taylor]: Taking taylor expansion of y in y 4.608 * [backup-simplify]: Simplify 0 into 0 4.608 * [backup-simplify]: Simplify 1 into 1 4.608 * [backup-simplify]: Simplify (* 1 1) into 1 4.608 * [backup-simplify]: Simplify (/ 1 1) into 1 4.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.610 * [backup-simplify]: Simplify (- 0) into 0 4.610 * [backup-simplify]: Simplify 0 into 0 4.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.611 * [backup-simplify]: Simplify 0 into 0 4.611 * [backup-simplify]: Simplify (+ 0 0) into 0 4.612 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 4.612 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 4.612 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.612 * [taylor]: Taking taylor expansion of y in y 4.612 * [backup-simplify]: Simplify 0 into 0 4.612 * [backup-simplify]: Simplify 1 into 1 4.612 * [backup-simplify]: Simplify (* 1 1) into 1 4.612 * [backup-simplify]: Simplify (* 1 1) into 1 4.613 * [backup-simplify]: Simplify (/ 1 1) into 1 4.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.619 * [backup-simplify]: Simplify 0 into 0 4.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.621 * [backup-simplify]: Simplify (- 0) into 0 4.622 * [backup-simplify]: Simplify 0 into 0 4.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.623 * [backup-simplify]: Simplify 0 into 0 4.623 * [backup-simplify]: Simplify 0 into 0 4.623 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 (+ (/ 1 y) (/ 1 x)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 4.623 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 4.623 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 4.623 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 4.623 * [taylor]: Taking taylor expansion of x in y 4.623 * [backup-simplify]: Simplify x into x 4.623 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.623 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.623 * [taylor]: Taking taylor expansion of y in y 4.623 * [backup-simplify]: Simplify 0 into 0 4.623 * [backup-simplify]: Simplify 1 into 1 4.624 * [backup-simplify]: Simplify (/ 1 1) into 1 4.624 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.624 * [taylor]: Taking taylor expansion of x in y 4.624 * [backup-simplify]: Simplify x into x 4.624 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.624 * [backup-simplify]: Simplify (+ 1 0) into 1 4.624 * [backup-simplify]: Simplify (* x 1) into x 4.624 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.624 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.624 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.624 * [taylor]: Taking taylor expansion of x in x 4.624 * [backup-simplify]: Simplify 0 into 0 4.624 * [backup-simplify]: Simplify 1 into 1 4.624 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.624 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.625 * [taylor]: Taking taylor expansion of y in x 4.625 * [backup-simplify]: Simplify y into y 4.625 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.625 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.625 * [taylor]: Taking taylor expansion of x in x 4.625 * [backup-simplify]: Simplify 0 into 0 4.625 * [backup-simplify]: Simplify 1 into 1 4.625 * [backup-simplify]: Simplify (/ 1 1) into 1 4.626 * [backup-simplify]: Simplify (+ 0 1) into 1 4.626 * [backup-simplify]: Simplify (* 0 1) into 0 4.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.627 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.627 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 4.628 * [backup-simplify]: Simplify (/ 1 1) into 1 4.628 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.628 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.628 * [taylor]: Taking taylor expansion of x in x 4.628 * [backup-simplify]: Simplify 0 into 0 4.628 * [backup-simplify]: Simplify 1 into 1 4.628 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.628 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.628 * [taylor]: Taking taylor expansion of y in x 4.628 * [backup-simplify]: Simplify y into y 4.628 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.628 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.628 * [taylor]: Taking taylor expansion of x in x 4.628 * [backup-simplify]: Simplify 0 into 0 4.628 * [backup-simplify]: Simplify 1 into 1 4.628 * [backup-simplify]: Simplify (/ 1 1) into 1 4.629 * [backup-simplify]: Simplify (+ 0 1) into 1 4.629 * [backup-simplify]: Simplify (* 0 1) into 0 4.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.630 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.631 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 4.631 * [backup-simplify]: Simplify (/ 1 1) into 1 4.631 * [taylor]: Taking taylor expansion of 1 in y 4.631 * [backup-simplify]: Simplify 1 into 1 4.631 * [backup-simplify]: Simplify 0 into 0 4.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.633 * [backup-simplify]: Simplify (+ 0 0) into 0 4.634 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 4.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 4.634 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 4.634 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.634 * [taylor]: Taking taylor expansion of y in y 4.634 * [backup-simplify]: Simplify 0 into 0 4.634 * [backup-simplify]: Simplify 1 into 1 4.634 * [backup-simplify]: Simplify (/ 1 1) into 1 4.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.636 * [backup-simplify]: Simplify (- 0) into 0 4.636 * [backup-simplify]: Simplify 0 into 0 4.636 * [backup-simplify]: Simplify 0 into 0 4.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.638 * [backup-simplify]: Simplify (+ 0 0) into 0 4.639 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 4.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 4.640 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.640 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.640 * [taylor]: Taking taylor expansion of y in y 4.640 * [backup-simplify]: Simplify 0 into 0 4.640 * [backup-simplify]: Simplify 1 into 1 4.640 * [backup-simplify]: Simplify (* 1 1) into 1 4.640 * [backup-simplify]: Simplify (/ 1 1) into 1 4.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.643 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.644 * [backup-simplify]: Simplify (- 0) into 0 4.644 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify (* (/ 1 (- x)) (/ 1 (+ (/ 1 (- y)) (/ 1 (- x))))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 4.644 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 4.644 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 4.644 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 4.644 * [taylor]: Taking taylor expansion of x in y 4.645 * [backup-simplify]: Simplify x into x 4.645 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.645 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.645 * [taylor]: Taking taylor expansion of y in y 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [backup-simplify]: Simplify 1 into 1 4.645 * [backup-simplify]: Simplify (/ 1 1) into 1 4.645 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.645 * [taylor]: Taking taylor expansion of x in y 4.645 * [backup-simplify]: Simplify x into x 4.645 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.645 * [backup-simplify]: Simplify (+ 1 0) into 1 4.645 * [backup-simplify]: Simplify (* x 1) into x 4.645 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.645 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.645 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.645 * [taylor]: Taking taylor expansion of x in x 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [backup-simplify]: Simplify 1 into 1 4.645 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.645 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.645 * [taylor]: Taking taylor expansion of y in x 4.645 * [backup-simplify]: Simplify y into y 4.645 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.646 * [taylor]: Taking taylor expansion of x in x 4.646 * [backup-simplify]: Simplify 0 into 0 4.646 * [backup-simplify]: Simplify 1 into 1 4.646 * [backup-simplify]: Simplify (/ 1 1) into 1 4.646 * [backup-simplify]: Simplify (+ 0 1) into 1 4.646 * [backup-simplify]: Simplify (* 0 1) into 0 4.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.647 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.647 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 4.647 * [backup-simplify]: Simplify (/ 1 1) into 1 4.647 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.647 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.647 * [taylor]: Taking taylor expansion of x in x 4.647 * [backup-simplify]: Simplify 0 into 0 4.647 * [backup-simplify]: Simplify 1 into 1 4.647 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.647 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.647 * [taylor]: Taking taylor expansion of y in x 4.647 * [backup-simplify]: Simplify y into y 4.648 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.648 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.648 * [taylor]: Taking taylor expansion of x in x 4.648 * [backup-simplify]: Simplify 0 into 0 4.648 * [backup-simplify]: Simplify 1 into 1 4.648 * [backup-simplify]: Simplify (/ 1 1) into 1 4.648 * [backup-simplify]: Simplify (+ 0 1) into 1 4.648 * [backup-simplify]: Simplify (* 0 1) into 0 4.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.649 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.649 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 4.649 * [backup-simplify]: Simplify (/ 1 1) into 1 4.649 * [taylor]: Taking taylor expansion of 1 in y 4.649 * [backup-simplify]: Simplify 1 into 1 4.649 * [backup-simplify]: Simplify 0 into 0 4.650 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.650 * [backup-simplify]: Simplify (+ 0 0) into 0 4.651 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 4.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 4.651 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 4.651 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.651 * [taylor]: Taking taylor expansion of y in y 4.651 * [backup-simplify]: Simplify 0 into 0 4.651 * [backup-simplify]: Simplify 1 into 1 4.651 * [backup-simplify]: Simplify (/ 1 1) into 1 4.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.653 * [backup-simplify]: Simplify (- 0) into 0 4.653 * [backup-simplify]: Simplify 0 into 0 4.653 * [backup-simplify]: Simplify 0 into 0 4.653 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.654 * [backup-simplify]: Simplify (+ 0 0) into 0 4.655 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 4.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 4.655 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.655 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.655 * [taylor]: Taking taylor expansion of y in y 4.655 * [backup-simplify]: Simplify 0 into 0 4.655 * [backup-simplify]: Simplify 1 into 1 4.656 * [backup-simplify]: Simplify (* 1 1) into 1 4.656 * [backup-simplify]: Simplify (/ 1 1) into 1 4.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.659 * [backup-simplify]: Simplify 0 into 0 4.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.660 * [backup-simplify]: Simplify (- 0) into 0 4.660 * [backup-simplify]: Simplify 0 into 0 4.660 * [backup-simplify]: Simplify 0 into 0 4.660 * [backup-simplify]: Simplify 0 into 0 4.660 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 4.660 * [backup-simplify]: Simplify (/ 1 (+ y x)) into (/ 1 (+ x y)) 4.660 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (y x) around 0 4.660 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 4.660 * [taylor]: Taking taylor expansion of (+ x y) in x 4.660 * [taylor]: Taking taylor expansion of x in x 4.660 * [backup-simplify]: Simplify 0 into 0 4.660 * [backup-simplify]: Simplify 1 into 1 4.660 * [taylor]: Taking taylor expansion of y in x 4.660 * [backup-simplify]: Simplify y into y 4.660 * [backup-simplify]: Simplify (+ 0 y) into y 4.660 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.660 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 4.660 * [taylor]: Taking taylor expansion of (+ x y) in y 4.660 * [taylor]: Taking taylor expansion of x in y 4.660 * [backup-simplify]: Simplify x into x 4.660 * [taylor]: Taking taylor expansion of y in y 4.660 * [backup-simplify]: Simplify 0 into 0 4.660 * [backup-simplify]: Simplify 1 into 1 4.660 * [backup-simplify]: Simplify (+ x 0) into x 4.660 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.660 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 4.660 * [taylor]: Taking taylor expansion of (+ x y) in y 4.660 * [taylor]: Taking taylor expansion of x in y 4.660 * [backup-simplify]: Simplify x into x 4.660 * [taylor]: Taking taylor expansion of y in y 4.660 * [backup-simplify]: Simplify 0 into 0 4.660 * [backup-simplify]: Simplify 1 into 1 4.661 * [backup-simplify]: Simplify (+ x 0) into x 4.661 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.661 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.661 * [taylor]: Taking taylor expansion of x in x 4.661 * [backup-simplify]: Simplify 0 into 0 4.661 * [backup-simplify]: Simplify 1 into 1 4.661 * [backup-simplify]: Simplify (/ 1 1) into 1 4.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.661 * [backup-simplify]: Simplify 0 into 0 4.662 * [backup-simplify]: Simplify (+ 0 1) into 1 4.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 1 x)))) into (- (/ 1 (pow x 2))) 4.662 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 4.662 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.662 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.662 * [taylor]: Taking taylor expansion of x in x 4.662 * [backup-simplify]: Simplify 0 into 0 4.662 * [backup-simplify]: Simplify 1 into 1 4.662 * [backup-simplify]: Simplify (* 1 1) into 1 4.662 * [backup-simplify]: Simplify (/ 1 1) into 1 4.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.665 * [backup-simplify]: Simplify (- 0) into 0 4.665 * [backup-simplify]: Simplify 0 into 0 4.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.665 * [backup-simplify]: Simplify 0 into 0 4.665 * [backup-simplify]: Simplify (+ 0 0) into 0 4.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* (- (/ 1 (pow x 2))) (/ 1 x)))) into (/ 1 (pow x 3)) 4.666 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 4.666 * [taylor]: Taking taylor expansion of (pow x 3) in x 4.666 * [taylor]: Taking taylor expansion of x in x 4.666 * [backup-simplify]: Simplify 0 into 0 4.666 * [backup-simplify]: Simplify 1 into 1 4.666 * [backup-simplify]: Simplify (* 1 1) into 1 4.667 * [backup-simplify]: Simplify (* 1 1) into 1 4.667 * [backup-simplify]: Simplify (/ 1 1) into 1 4.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.671 * [backup-simplify]: Simplify 0 into 0 4.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.673 * [backup-simplify]: Simplify (- 0) into 0 4.673 * [backup-simplify]: Simplify 0 into 0 4.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.673 * [backup-simplify]: Simplify 0 into 0 4.673 * [backup-simplify]: Simplify 0 into 0 4.674 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 y) (/ 1 x))) into (/ 1 (+ (/ 1 y) (/ 1 x))) 4.674 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 4.674 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 4.674 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.674 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.674 * [taylor]: Taking taylor expansion of y in x 4.674 * [backup-simplify]: Simplify y into y 4.674 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.674 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.674 * [taylor]: Taking taylor expansion of x in x 4.674 * [backup-simplify]: Simplify 0 into 0 4.674 * [backup-simplify]: Simplify 1 into 1 4.674 * [backup-simplify]: Simplify (/ 1 1) into 1 4.674 * [backup-simplify]: Simplify (+ 0 1) into 1 4.675 * [backup-simplify]: Simplify (/ 1 1) into 1 4.675 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 4.675 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.675 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.675 * [taylor]: Taking taylor expansion of y in y 4.675 * [backup-simplify]: Simplify 0 into 0 4.675 * [backup-simplify]: Simplify 1 into 1 4.675 * [backup-simplify]: Simplify (/ 1 1) into 1 4.675 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.675 * [taylor]: Taking taylor expansion of x in y 4.675 * [backup-simplify]: Simplify x into x 4.675 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.675 * [backup-simplify]: Simplify (+ 1 0) into 1 4.676 * [backup-simplify]: Simplify (/ 1 1) into 1 4.676 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 4.676 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.676 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.676 * [taylor]: Taking taylor expansion of y in y 4.676 * [backup-simplify]: Simplify 0 into 0 4.676 * [backup-simplify]: Simplify 1 into 1 4.676 * [backup-simplify]: Simplify (/ 1 1) into 1 4.676 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.676 * [taylor]: Taking taylor expansion of x in y 4.676 * [backup-simplify]: Simplify x into x 4.676 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.676 * [backup-simplify]: Simplify (+ 1 0) into 1 4.676 * [backup-simplify]: Simplify (/ 1 1) into 1 4.677 * [taylor]: Taking taylor expansion of 1 in x 4.677 * [backup-simplify]: Simplify 1 into 1 4.677 * [backup-simplify]: Simplify 0 into 0 4.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.677 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 4.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 x) 1)))) into (- (/ 1 x)) 4.677 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 4.677 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.677 * [taylor]: Taking taylor expansion of x in x 4.677 * [backup-simplify]: Simplify 0 into 0 4.677 * [backup-simplify]: Simplify 1 into 1 4.678 * [backup-simplify]: Simplify (/ 1 1) into 1 4.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.679 * [backup-simplify]: Simplify (- 0) into 0 4.679 * [backup-simplify]: Simplify 0 into 0 4.679 * [backup-simplify]: Simplify 0 into 0 4.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 4.680 * [backup-simplify]: Simplify (+ 0 0) into 0 4.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 x)) (/ (/ 1 x) 1)))) into (/ 1 (pow x 2)) 4.680 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.680 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.680 * [taylor]: Taking taylor expansion of x in x 4.680 * [backup-simplify]: Simplify 0 into 0 4.680 * [backup-simplify]: Simplify 1 into 1 4.680 * [backup-simplify]: Simplify (* 1 1) into 1 4.681 * [backup-simplify]: Simplify (/ 1 1) into 1 4.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.684 * [backup-simplify]: Simplify 0 into 0 4.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.685 * [backup-simplify]: Simplify (- 0) into 0 4.685 * [backup-simplify]: Simplify 0 into 0 4.685 * [backup-simplify]: Simplify 0 into 0 4.685 * [backup-simplify]: Simplify 0 into 0 4.685 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (- y)) (/ 1 (- x)))) into (/ -1 (+ (/ 1 y) (/ 1 x))) 4.685 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 4.685 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 4.685 * [taylor]: Taking taylor expansion of -1 in x 4.685 * [backup-simplify]: Simplify -1 into -1 4.685 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.685 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.685 * [taylor]: Taking taylor expansion of y in x 4.685 * [backup-simplify]: Simplify y into y 4.685 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.685 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.685 * [taylor]: Taking taylor expansion of x in x 4.685 * [backup-simplify]: Simplify 0 into 0 4.685 * [backup-simplify]: Simplify 1 into 1 4.686 * [backup-simplify]: Simplify (/ 1 1) into 1 4.686 * [backup-simplify]: Simplify (+ 0 1) into 1 4.686 * [backup-simplify]: Simplify (/ -1 1) into -1 4.686 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 4.686 * [taylor]: Taking taylor expansion of -1 in y 4.686 * [backup-simplify]: Simplify -1 into -1 4.686 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.686 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.686 * [taylor]: Taking taylor expansion of y in y 4.686 * [backup-simplify]: Simplify 0 into 0 4.686 * [backup-simplify]: Simplify 1 into 1 4.686 * [backup-simplify]: Simplify (/ 1 1) into 1 4.686 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.686 * [taylor]: Taking taylor expansion of x in y 4.686 * [backup-simplify]: Simplify x into x 4.687 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.687 * [backup-simplify]: Simplify (+ 1 0) into 1 4.687 * [backup-simplify]: Simplify (/ -1 1) into -1 4.687 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 4.687 * [taylor]: Taking taylor expansion of -1 in y 4.687 * [backup-simplify]: Simplify -1 into -1 4.687 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.687 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.687 * [taylor]: Taking taylor expansion of y in y 4.687 * [backup-simplify]: Simplify 0 into 0 4.687 * [backup-simplify]: Simplify 1 into 1 4.687 * [backup-simplify]: Simplify (/ 1 1) into 1 4.687 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.688 * [taylor]: Taking taylor expansion of x in y 4.688 * [backup-simplify]: Simplify x into x 4.688 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.688 * [backup-simplify]: Simplify (+ 1 0) into 1 4.688 * [backup-simplify]: Simplify (/ -1 1) into -1 4.688 * [taylor]: Taking taylor expansion of -1 in x 4.688 * [backup-simplify]: Simplify -1 into -1 4.688 * [backup-simplify]: Simplify 0 into 0 4.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.689 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 4.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (/ 1 x) 1)))) into (/ 1 x) 4.689 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.689 * [taylor]: Taking taylor expansion of x in x 4.689 * [backup-simplify]: Simplify 0 into 0 4.689 * [backup-simplify]: Simplify 1 into 1 4.689 * [backup-simplify]: Simplify (/ 1 1) into 1 4.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.690 * [backup-simplify]: Simplify 0 into 0 4.690 * [backup-simplify]: Simplify 0 into 0 4.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 4.691 * [backup-simplify]: Simplify (+ 0 0) into 0 4.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (/ 1 x) (/ (/ 1 x) 1)))) into (- (/ 1 (pow x 2))) 4.692 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 4.692 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.692 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.692 * [taylor]: Taking taylor expansion of x in x 4.692 * [backup-simplify]: Simplify 0 into 0 4.692 * [backup-simplify]: Simplify 1 into 1 4.692 * [backup-simplify]: Simplify (* 1 1) into 1 4.693 * [backup-simplify]: Simplify (/ 1 1) into 1 4.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.696 * [backup-simplify]: Simplify (- 0) into 0 4.696 * [backup-simplify]: Simplify 0 into 0 4.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.697 * [backup-simplify]: Simplify 0 into 0 4.697 * [backup-simplify]: Simplify 0 into 0 4.697 * [backup-simplify]: Simplify 0 into 0 4.697 * * * [progress]: simplifying candidates 4.698 * [simplify]: Simplifying: (* x (/ 1 (+ y x))) (+ (log x) (- (log (+ y x)))) (+ (log x) (- 0 (log (+ y x)))) (+ (log x) (- (log 1) (log (+ y x)))) (+ (log x) (log (/ 1 (+ y x)))) (log (* x (/ 1 (+ y x)))) (exp (* x (/ 1 (+ y x)))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (+ y x) (+ y x)) (+ y x)))) (* (* (* x x) x) (* (* (/ 1 (+ y x)) (/ 1 (+ y x))) (/ 1 (+ y x)))) (* (cbrt (* x (/ 1 (+ y x)))) (cbrt (* x (/ 1 (+ y x))))) (cbrt (* x (/ 1 (+ y x)))) (* (* (* x (/ 1 (+ y x))) (* x (/ 1 (+ y x)))) (* x (/ 1 (+ y x)))) (sqrt (* x (/ 1 (+ y x)))) (sqrt (* x (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ y x)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ y x)))) (* (sqrt x) (/ 1 (sqrt (+ y x)))) (* (sqrt x) (/ 1 (sqrt (+ y x)))) (* x (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x))))) (* x (sqrt (/ 1 (+ y x)))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y x)))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (sqrt 1) (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ (sqrt 1) (sqrt (+ y x)))) (* x (/ (sqrt 1) 1)) (* x (/ (sqrt 1) 1)) (* x (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ 1 (sqrt (+ y x)))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x 1) (* x (/ 1 (+ (pow y 3) (pow x 3)))) (* x (/ 1 (- (* y y) (* x x)))) (* (cbrt x) (/ 1 (+ y x))) (* (sqrt x) (/ 1 (+ y x))) (* x (/ 1 (+ y x))) (* x 1) (- 1) (- (log (+ y x))) (- 0 (log (+ y x))) (- (log 1) (log (+ y x))) (log (/ 1 (+ y x))) (exp (/ 1 (+ y x))) (/ (* (* 1 1) 1) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x)))) (cbrt (/ 1 (+ y x))) (* (* (/ 1 (+ y x)) (/ 1 (+ y x))) (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) (- 1) (- (+ y x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt 1) (cbrt (+ y x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y x))) (/ (cbrt 1) (sqrt (+ y x))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y x)) (/ (sqrt 1) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt 1) (cbrt (+ y x))) (/ (sqrt 1) (sqrt (+ y x))) (/ (sqrt 1) (sqrt (+ y x))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y x)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 1) (/ 1 (+ y x)) (/ 1 1) (/ 1 (+ y x)) (/ 1 (+ y x)) (/ (+ y x) 1) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (sqrt (+ y x))) (/ 1 1) (/ 1 1) (/ (+ y x) (cbrt 1)) (/ (+ y x) (sqrt 1)) (/ (+ y x) 1) (/ 1 (+ (pow y 3) (pow x 3))) (/ 1 (- (* y y) (* x x))) 0 0 0 0 0 0 4.699 * * [simplify]: Extracting # 0 : cost 0 4.699 * * [simplify]: Extracting # 1 : cost 0 4.699 * * [simplify]: Extracting # 2 : cost 0 4.699 * * [simplify]: Extracting # 3 : cost 0 4.700 * * [simplify]: Extracting # 4 : cost 0 4.700 * * [simplify]: Extracting # 5 : cost 0 4.700 * * [simplify]: Extracting # 6 : cost 0 4.701 * * [simplify]: iteration 0 : 95 enodes (cost 755 ) 4.772 * * [simplify]: Extracting # 0 : cost 0 4.772 * * [simplify]: Extracting # 1 : cost 0 4.773 * * [simplify]: Extracting # 2 : cost 0 4.773 * * [simplify]: Extracting # 3 : cost 0 4.774 * * [simplify]: Extracting # 4 : cost 0 4.774 * * [simplify]: iteration 1 : 220 enodes (cost 579 ) 4.879 * * [simplify]: Extracting # 0 : cost 0 4.880 * * [simplify]: Extracting # 1 : cost 0 4.880 * * [simplify]: Extracting # 2 : cost 0 4.881 * * [simplify]: Extracting # 3 : cost 0 4.882 * * [simplify]: Extracting # 4 : cost 0 4.883 * * [simplify]: Extracting # 5 : cost 0 4.884 * * [simplify]: iteration 2 : 449 enodes (cost 517 ) 5.181 * * [simplify]: Extracting # 0 : cost 0 5.183 * * [simplify]: Extracting # 1 : cost 0 5.185 * * [simplify]: Extracting # 2 : cost 0 5.186 * * [simplify]: Extracting # 3 : cost 0 5.187 * * [simplify]: Extracting # 4 : cost 0 5.188 * * [simplify]: iteration 3 : 902 enodes (cost 517 ) 5.940 * * [simplify]: Extracting # 0 : cost 0 5.943 * * [simplify]: Extracting # 1 : cost 0 5.953 * * [simplify]: Extracting # 2 : cost 0 5.956 * * [simplify]: Extracting # 3 : cost 0 5.959 * * [simplify]: Extracting # 4 : cost 0 5.962 * * [simplify]: Extracting # 5 : cost 0 5.965 * * [simplify]: iteration 4 : 1931 enodes (cost 517 ) 8.599 * * [simplify]: Extracting # 0 : cost 0 8.611 * * [simplify]: Extracting # 1 : cost 0 8.621 * * [simplify]: Extracting # 2 : cost 0 8.637 * * [simplify]: Extracting # 3 : cost 0 8.646 * * [simplify]: Extracting # 4 : cost 0 8.655 * * [simplify]: iteration done: 5000 enodes (cost 517 ) 8.656 * [simplify]: Simplified to: (/ x (+ x y)) (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 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (* x (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x))))) (* x (sqrt (/ 1 (+ y x)))) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x x x (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) (/ (cbrt x) (+ x y)) (/ (sqrt x) (+ x y)) (/ x (+ x y)) x -1 (- (log (+ y x))) (- (log (+ y x))) (- (log (+ y x))) (- (log (+ y x))) (exp (/ 1 (+ y x))) (pow (/ 1 (+ y x)) 3) (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x)))) (cbrt (/ 1 (+ y x))) (pow (/ 1 (+ y x)) 3) (sqrt (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) -1 (- (+ y x)) (/ (/ 1 (cbrt (+ y x))) (cbrt (+ y x))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ x y)) 1 (/ 1 (+ x y)) (/ (/ 1 (cbrt (+ y x))) (cbrt (+ y x))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ x y)) 1 (/ 1 (+ x y)) (/ (/ 1 (cbrt (+ y x))) (cbrt (+ y x))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ x y)) 1 (/ 1 (+ x y)) (/ 1 (+ x y)) (+ y x) (/ (/ 1 (cbrt (+ y x))) (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 1 (+ y x) (+ y x) (+ y x) (/ 1 (+ (pow y 3) (pow x 3))) (/ 1 (- (* y y) (* x x))) 0 0 0 0 0 0 8.657 * * * [progress]: adding candidates to table 8.785 * * [progress]: iteration 3 / 4 8.785 * * * [progress]: picking best candidate 8.790 * * * * [pick]: Picked # 8.790 * * * [progress]: localizing error 8.802 * * * [progress]: generating rewritten candidates 8.802 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 8.837 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 8.888 * * * [progress]: generating series expansions 8.888 * * * * [progress]: [ 1 / 2 ] generating series at (2) 8.888 * [backup-simplify]: Simplify (/ 1 (/ (+ y x) x)) into (/ x (+ x y)) 8.888 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (y x) around 0 8.888 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 8.888 * [taylor]: Taking taylor expansion of x in x 8.888 * [backup-simplify]: Simplify 0 into 0 8.888 * [backup-simplify]: Simplify 1 into 1 8.888 * [taylor]: Taking taylor expansion of (+ x y) in x 8.888 * [taylor]: Taking taylor expansion of x in x 8.888 * [backup-simplify]: Simplify 0 into 0 8.888 * [backup-simplify]: Simplify 1 into 1 8.888 * [taylor]: Taking taylor expansion of y in x 8.888 * [backup-simplify]: Simplify y into y 8.888 * [backup-simplify]: Simplify (+ 0 y) into y 8.888 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.888 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 8.888 * [taylor]: Taking taylor expansion of x in y 8.888 * [backup-simplify]: Simplify x into x 8.888 * [taylor]: Taking taylor expansion of (+ x y) in y 8.889 * [taylor]: Taking taylor expansion of x in y 8.889 * [backup-simplify]: Simplify x into x 8.889 * [taylor]: Taking taylor expansion of y in y 8.889 * [backup-simplify]: Simplify 0 into 0 8.889 * [backup-simplify]: Simplify 1 into 1 8.889 * [backup-simplify]: Simplify (+ x 0) into x 8.889 * [backup-simplify]: Simplify (/ x x) into 1 8.889 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 8.889 * [taylor]: Taking taylor expansion of x in y 8.889 * [backup-simplify]: Simplify x into x 8.889 * [taylor]: Taking taylor expansion of (+ x y) in y 8.889 * [taylor]: Taking taylor expansion of x in y 8.889 * [backup-simplify]: Simplify x into x 8.889 * [taylor]: Taking taylor expansion of y in y 8.889 * [backup-simplify]: Simplify 0 into 0 8.889 * [backup-simplify]: Simplify 1 into 1 8.889 * [backup-simplify]: Simplify (+ x 0) into x 8.889 * [backup-simplify]: Simplify (/ x x) into 1 8.889 * [taylor]: Taking taylor expansion of 1 in x 8.889 * [backup-simplify]: Simplify 1 into 1 8.889 * [backup-simplify]: Simplify 0 into 0 8.890 * [backup-simplify]: Simplify (+ 0 1) into 1 8.890 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 1 x)))) into (- (/ 1 x)) 8.890 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 8.890 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.890 * [taylor]: Taking taylor expansion of x in x 8.890 * [backup-simplify]: Simplify 0 into 0 8.890 * [backup-simplify]: Simplify 1 into 1 8.891 * [backup-simplify]: Simplify (/ 1 1) into 1 8.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.893 * [backup-simplify]: Simplify (- 0) into 0 8.893 * [backup-simplify]: Simplify 0 into 0 8.893 * [backup-simplify]: Simplify 0 into 0 8.893 * [backup-simplify]: Simplify (+ 0 0) into 0 8.894 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 0 x)) (* (- (/ 1 x)) (/ 1 x)))) into (/ 1 (pow x 2)) 8.894 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.894 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.894 * [taylor]: Taking taylor expansion of x in x 8.894 * [backup-simplify]: Simplify 0 into 0 8.894 * [backup-simplify]: Simplify 1 into 1 8.894 * [backup-simplify]: Simplify (* 1 1) into 1 8.895 * [backup-simplify]: Simplify (/ 1 1) into 1 8.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.900 * [backup-simplify]: Simplify 0 into 0 8.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.909 * [backup-simplify]: Simplify (- 0) into 0 8.909 * [backup-simplify]: Simplify 0 into 0 8.909 * [backup-simplify]: Simplify 0 into 0 8.909 * [backup-simplify]: Simplify 0 into 0 8.909 * [backup-simplify]: Simplify (/ 1 (/ (+ (/ 1 y) (/ 1 x)) (/ 1 x))) into (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) 8.909 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (y x) around 0 8.909 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 8.909 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 8.909 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.909 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.909 * [taylor]: Taking taylor expansion of y in x 8.910 * [backup-simplify]: Simplify y into y 8.910 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.910 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.910 * [taylor]: Taking taylor expansion of x in x 8.910 * [backup-simplify]: Simplify 0 into 0 8.910 * [backup-simplify]: Simplify 1 into 1 8.910 * [backup-simplify]: Simplify (/ 1 1) into 1 8.910 * [taylor]: Taking taylor expansion of x in x 8.910 * [backup-simplify]: Simplify 0 into 0 8.910 * [backup-simplify]: Simplify 1 into 1 8.911 * [backup-simplify]: Simplify (+ 0 1) into 1 8.911 * [backup-simplify]: Simplify (* 1 0) into 0 8.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.912 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 8.912 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 8.913 * [backup-simplify]: Simplify (/ 1 1) into 1 8.913 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 8.913 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 8.913 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 8.913 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.913 * [taylor]: Taking taylor expansion of y in y 8.913 * [backup-simplify]: Simplify 0 into 0 8.913 * [backup-simplify]: Simplify 1 into 1 8.913 * [backup-simplify]: Simplify (/ 1 1) into 1 8.913 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.913 * [taylor]: Taking taylor expansion of x in y 8.913 * [backup-simplify]: Simplify x into x 8.913 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.913 * [taylor]: Taking taylor expansion of x in y 8.913 * [backup-simplify]: Simplify x into x 8.914 * [backup-simplify]: Simplify (+ 1 0) into 1 8.914 * [backup-simplify]: Simplify (* 1 x) into x 8.914 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.914 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 8.914 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 8.914 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 8.914 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.914 * [taylor]: Taking taylor expansion of y in y 8.914 * [backup-simplify]: Simplify 0 into 0 8.914 * [backup-simplify]: Simplify 1 into 1 8.915 * [backup-simplify]: Simplify (/ 1 1) into 1 8.915 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.915 * [taylor]: Taking taylor expansion of x in y 8.915 * [backup-simplify]: Simplify x into x 8.915 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.915 * [taylor]: Taking taylor expansion of x in y 8.915 * [backup-simplify]: Simplify x into x 8.915 * [backup-simplify]: Simplify (+ 1 0) into 1 8.915 * [backup-simplify]: Simplify (* 1 x) into x 8.915 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.915 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.915 * [taylor]: Taking taylor expansion of x in x 8.915 * [backup-simplify]: Simplify 0 into 0 8.915 * [backup-simplify]: Simplify 1 into 1 8.916 * [backup-simplify]: Simplify (/ 1 1) into 1 8.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.916 * [backup-simplify]: Simplify 0 into 0 8.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.917 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 8.917 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 x) x)) into 1 8.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 1 x)))) into (- (/ 1 (pow x 2))) 8.917 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 8.917 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.917 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.917 * [taylor]: Taking taylor expansion of x in x 8.917 * [backup-simplify]: Simplify 0 into 0 8.917 * [backup-simplify]: Simplify 1 into 1 8.918 * [backup-simplify]: Simplify (* 1 1) into 1 8.918 * [backup-simplify]: Simplify (/ 1 1) into 1 8.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.920 * [backup-simplify]: Simplify (- 0) into 0 8.920 * [backup-simplify]: Simplify 0 into 0 8.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.920 * [backup-simplify]: Simplify 0 into 0 8.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 8.921 * [backup-simplify]: Simplify (+ 0 0) into 0 8.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 0) (* 0 x))) into 0 8.922 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* (- (/ 1 (pow x 2))) (/ 1 x)))) into (/ 1 (pow x 3)) 8.922 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 8.922 * [taylor]: Taking taylor expansion of (pow x 3) in x 8.922 * [taylor]: Taking taylor expansion of x in x 8.922 * [backup-simplify]: Simplify 0 into 0 8.922 * [backup-simplify]: Simplify 1 into 1 8.922 * [backup-simplify]: Simplify (* 1 1) into 1 8.923 * [backup-simplify]: Simplify (* 1 1) into 1 8.923 * [backup-simplify]: Simplify (/ 1 1) into 1 8.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.927 * [backup-simplify]: Simplify 0 into 0 8.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.929 * [backup-simplify]: Simplify (- 0) into 0 8.929 * [backup-simplify]: Simplify 0 into 0 8.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.929 * [backup-simplify]: Simplify 0 into 0 8.929 * [backup-simplify]: Simplify 0 into 0 8.929 * [backup-simplify]: Simplify (/ 1 (/ (+ (/ 1 (- y)) (/ 1 (- x))) (/ 1 (- x)))) into (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) 8.929 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (y x) around 0 8.929 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 8.929 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 8.929 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.929 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.929 * [taylor]: Taking taylor expansion of y in x 8.929 * [backup-simplify]: Simplify y into y 8.930 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.930 * [taylor]: Taking taylor expansion of x in x 8.930 * [backup-simplify]: Simplify 0 into 0 8.930 * [backup-simplify]: Simplify 1 into 1 8.930 * [backup-simplify]: Simplify (/ 1 1) into 1 8.930 * [taylor]: Taking taylor expansion of x in x 8.930 * [backup-simplify]: Simplify 0 into 0 8.930 * [backup-simplify]: Simplify 1 into 1 8.930 * [backup-simplify]: Simplify (+ 0 1) into 1 8.930 * [backup-simplify]: Simplify (* 1 0) into 0 8.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.931 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 8.931 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 8.931 * [backup-simplify]: Simplify (/ 1 1) into 1 8.931 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 8.931 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 8.931 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 8.932 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.932 * [taylor]: Taking taylor expansion of y in y 8.932 * [backup-simplify]: Simplify 0 into 0 8.932 * [backup-simplify]: Simplify 1 into 1 8.932 * [backup-simplify]: Simplify (/ 1 1) into 1 8.932 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.932 * [taylor]: Taking taylor expansion of x in y 8.932 * [backup-simplify]: Simplify x into x 8.932 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.932 * [taylor]: Taking taylor expansion of x in y 8.932 * [backup-simplify]: Simplify x into x 8.932 * [backup-simplify]: Simplify (+ 1 0) into 1 8.932 * [backup-simplify]: Simplify (* 1 x) into x 8.932 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.932 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 8.932 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 8.932 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 8.932 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.932 * [taylor]: Taking taylor expansion of y in y 8.932 * [backup-simplify]: Simplify 0 into 0 8.932 * [backup-simplify]: Simplify 1 into 1 8.933 * [backup-simplify]: Simplify (/ 1 1) into 1 8.933 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.933 * [taylor]: Taking taylor expansion of x in y 8.933 * [backup-simplify]: Simplify x into x 8.933 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.933 * [taylor]: Taking taylor expansion of x in y 8.933 * [backup-simplify]: Simplify x into x 8.933 * [backup-simplify]: Simplify (+ 1 0) into 1 8.933 * [backup-simplify]: Simplify (* 1 x) into x 8.933 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.933 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.933 * [taylor]: Taking taylor expansion of x in x 8.933 * [backup-simplify]: Simplify 0 into 0 8.933 * [backup-simplify]: Simplify 1 into 1 8.933 * [backup-simplify]: Simplify (/ 1 1) into 1 8.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.934 * [backup-simplify]: Simplify 0 into 0 8.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.934 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 8.935 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 x) x)) into 1 8.935 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 1 x)))) into (- (/ 1 (pow x 2))) 8.935 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 8.935 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.935 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.935 * [taylor]: Taking taylor expansion of x in x 8.935 * [backup-simplify]: Simplify 0 into 0 8.935 * [backup-simplify]: Simplify 1 into 1 8.935 * [backup-simplify]: Simplify (* 1 1) into 1 8.935 * [backup-simplify]: Simplify (/ 1 1) into 1 8.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.938 * [backup-simplify]: Simplify (- 0) into 0 8.938 * [backup-simplify]: Simplify 0 into 0 8.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.938 * [backup-simplify]: Simplify 0 into 0 8.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 8.939 * [backup-simplify]: Simplify (+ 0 0) into 0 8.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 0) (* 0 x))) into 0 8.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* (- (/ 1 (pow x 2))) (/ 1 x)))) into (/ 1 (pow x 3)) 8.940 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 8.940 * [taylor]: Taking taylor expansion of (pow x 3) in x 8.940 * [taylor]: Taking taylor expansion of x in x 8.940 * [backup-simplify]: Simplify 0 into 0 8.940 * [backup-simplify]: Simplify 1 into 1 8.940 * [backup-simplify]: Simplify (* 1 1) into 1 8.940 * [backup-simplify]: Simplify (* 1 1) into 1 8.940 * [backup-simplify]: Simplify (/ 1 1) into 1 8.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.945 * [backup-simplify]: Simplify 0 into 0 8.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.946 * [backup-simplify]: Simplify (- 0) into 0 8.946 * [backup-simplify]: Simplify 0 into 0 8.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.947 * [backup-simplify]: Simplify 0 into 0 8.947 * [backup-simplify]: Simplify 0 into 0 8.947 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 8.947 * [backup-simplify]: Simplify (/ (+ y x) x) into (/ (+ x y) x) 8.947 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (y x) around 0 8.947 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 8.947 * [taylor]: Taking taylor expansion of (+ x y) in x 8.947 * [taylor]: Taking taylor expansion of x in x 8.947 * [backup-simplify]: Simplify 0 into 0 8.947 * [backup-simplify]: Simplify 1 into 1 8.947 * [taylor]: Taking taylor expansion of y in x 8.947 * [backup-simplify]: Simplify y into y 8.947 * [taylor]: Taking taylor expansion of x in x 8.947 * [backup-simplify]: Simplify 0 into 0 8.947 * [backup-simplify]: Simplify 1 into 1 8.947 * [backup-simplify]: Simplify (+ 0 y) into y 8.947 * [backup-simplify]: Simplify (/ y 1) into y 8.947 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 8.947 * [taylor]: Taking taylor expansion of (+ x y) in y 8.947 * [taylor]: Taking taylor expansion of x in y 8.947 * [backup-simplify]: Simplify x into x 8.947 * [taylor]: Taking taylor expansion of y in y 8.947 * [backup-simplify]: Simplify 0 into 0 8.947 * [backup-simplify]: Simplify 1 into 1 8.947 * [taylor]: Taking taylor expansion of x in y 8.947 * [backup-simplify]: Simplify x into x 8.947 * [backup-simplify]: Simplify (+ x 0) into x 8.948 * [backup-simplify]: Simplify (/ x x) into 1 8.948 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 8.948 * [taylor]: Taking taylor expansion of (+ x y) in y 8.948 * [taylor]: Taking taylor expansion of x in y 8.948 * [backup-simplify]: Simplify x into x 8.948 * [taylor]: Taking taylor expansion of y in y 8.948 * [backup-simplify]: Simplify 0 into 0 8.948 * [backup-simplify]: Simplify 1 into 1 8.948 * [taylor]: Taking taylor expansion of x in y 8.948 * [backup-simplify]: Simplify x into x 8.948 * [backup-simplify]: Simplify (+ x 0) into x 8.948 * [backup-simplify]: Simplify (/ x x) into 1 8.948 * [taylor]: Taking taylor expansion of 1 in x 8.948 * [backup-simplify]: Simplify 1 into 1 8.948 * [backup-simplify]: Simplify (+ 0 1) into 1 8.948 * [backup-simplify]: Simplify (- (/ 1 x) (+ (* 1 (/ 0 x)))) into (/ 1 x) 8.948 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.948 * [taylor]: Taking taylor expansion of x in x 8.948 * [backup-simplify]: Simplify 0 into 0 8.948 * [backup-simplify]: Simplify 1 into 1 8.949 * [backup-simplify]: Simplify (/ 1 1) into 1 8.949 * [backup-simplify]: Simplify 1 into 1 8.949 * [backup-simplify]: Simplify 1 into 1 8.949 * [backup-simplify]: Simplify (+ 0 0) into 0 8.949 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 0 x)) (* (/ 1 x) (/ 0 x)))) into 0 8.949 * [taylor]: Taking taylor expansion of 0 in x 8.949 * [backup-simplify]: Simplify 0 into 0 8.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.950 * [backup-simplify]: Simplify 0 into 0 8.950 * [backup-simplify]: Simplify 0 into 0 8.950 * [backup-simplify]: Simplify (+ 0 0) into 0 8.950 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 0 x)) (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.950 * [taylor]: Taking taylor expansion of 0 in x 8.950 * [backup-simplify]: Simplify 0 into 0 8.950 * [backup-simplify]: Simplify 0 into 0 8.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.951 * [backup-simplify]: Simplify 0 into 0 8.951 * [backup-simplify]: Simplify 0 into 0 8.951 * [backup-simplify]: Simplify (+ 0 0) into 0 8.952 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 0 x)) (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.952 * [taylor]: Taking taylor expansion of 0 in x 8.952 * [backup-simplify]: Simplify 0 into 0 8.952 * [backup-simplify]: Simplify 0 into 0 8.952 * [backup-simplify]: Simplify (+ 1 (* 1 (* (/ 1 x) y))) into (+ (/ y x) 1) 8.952 * [backup-simplify]: Simplify (/ (+ (/ 1 y) (/ 1 x)) (/ 1 x)) into (* (+ (/ 1 y) (/ 1 x)) x) 8.952 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (y x) around 0 8.952 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 8.952 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.952 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.952 * [taylor]: Taking taylor expansion of y in x 8.952 * [backup-simplify]: Simplify y into y 8.952 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.952 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.952 * [taylor]: Taking taylor expansion of x in x 8.952 * [backup-simplify]: Simplify 0 into 0 8.952 * [backup-simplify]: Simplify 1 into 1 8.952 * [backup-simplify]: Simplify (/ 1 1) into 1 8.952 * [taylor]: Taking taylor expansion of x in x 8.952 * [backup-simplify]: Simplify 0 into 0 8.952 * [backup-simplify]: Simplify 1 into 1 8.952 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 8.952 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 8.952 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.952 * [taylor]: Taking taylor expansion of y in y 8.953 * [backup-simplify]: Simplify 0 into 0 8.953 * [backup-simplify]: Simplify 1 into 1 8.953 * [backup-simplify]: Simplify (/ 1 1) into 1 8.953 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.953 * [taylor]: Taking taylor expansion of x in y 8.953 * [backup-simplify]: Simplify x into x 8.953 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.953 * [taylor]: Taking taylor expansion of x in y 8.953 * [backup-simplify]: Simplify x into x 8.953 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 8.953 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 8.953 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.953 * [taylor]: Taking taylor expansion of y in y 8.953 * [backup-simplify]: Simplify 0 into 0 8.953 * [backup-simplify]: Simplify 1 into 1 8.953 * [backup-simplify]: Simplify (/ 1 1) into 1 8.953 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.953 * [taylor]: Taking taylor expansion of x in y 8.953 * [backup-simplify]: Simplify x into x 8.953 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.953 * [taylor]: Taking taylor expansion of x in y 8.953 * [backup-simplify]: Simplify x into x 8.954 * [backup-simplify]: Simplify (+ 1 0) into 1 8.954 * [backup-simplify]: Simplify (* 1 x) into x 8.954 * [taylor]: Taking taylor expansion of x in x 8.954 * [backup-simplify]: Simplify 0 into 0 8.954 * [backup-simplify]: Simplify 1 into 1 8.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.954 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 8.955 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 x) x)) into 1 8.955 * [taylor]: Taking taylor expansion of 1 in x 8.955 * [backup-simplify]: Simplify 1 into 1 8.955 * [backup-simplify]: Simplify 0 into 0 8.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 8.956 * [backup-simplify]: Simplify (+ 0 0) into 0 8.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 0) (* 0 x))) into 0 8.956 * [taylor]: Taking taylor expansion of 0 in x 8.956 * [backup-simplify]: Simplify 0 into 0 8.956 * [backup-simplify]: Simplify 1 into 1 8.956 * [backup-simplify]: Simplify 1 into 1 8.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.957 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.957 * [backup-simplify]: Simplify (+ 0 0) into 0 8.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 x)))) into 0 8.958 * [taylor]: Taking taylor expansion of 0 in x 8.958 * [backup-simplify]: Simplify 0 into 0 8.958 * [backup-simplify]: Simplify 0 into 0 8.958 * [backup-simplify]: Simplify 0 into 0 8.958 * [backup-simplify]: Simplify 0 into 0 8.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.959 * [backup-simplify]: Simplify (+ 0 0) into 0 8.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 8.960 * [taylor]: Taking taylor expansion of 0 in x 8.960 * [backup-simplify]: Simplify 0 into 0 8.960 * [backup-simplify]: Simplify 0 into 0 8.960 * [backup-simplify]: Simplify 0 into 0 8.960 * [backup-simplify]: Simplify 0 into 0 8.960 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 x) (/ 1 (/ 1 y)))) 1) into (+ (/ y x) 1) 8.960 * [backup-simplify]: Simplify (/ (+ (/ 1 (- y)) (/ 1 (- x))) (/ 1 (- x))) into (* (+ (/ 1 y) (/ 1 x)) x) 8.960 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (y x) around 0 8.960 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 8.960 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.960 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.960 * [taylor]: Taking taylor expansion of y in x 8.960 * [backup-simplify]: Simplify y into y 8.960 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.960 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.960 * [taylor]: Taking taylor expansion of x in x 8.960 * [backup-simplify]: Simplify 0 into 0 8.960 * [backup-simplify]: Simplify 1 into 1 8.961 * [backup-simplify]: Simplify (/ 1 1) into 1 8.961 * [taylor]: Taking taylor expansion of x in x 8.961 * [backup-simplify]: Simplify 0 into 0 8.961 * [backup-simplify]: Simplify 1 into 1 8.961 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 8.961 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 8.961 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.961 * [taylor]: Taking taylor expansion of y in y 8.961 * [backup-simplify]: Simplify 0 into 0 8.961 * [backup-simplify]: Simplify 1 into 1 8.961 * [backup-simplify]: Simplify (/ 1 1) into 1 8.961 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.961 * [taylor]: Taking taylor expansion of x in y 8.961 * [backup-simplify]: Simplify x into x 8.961 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.961 * [taylor]: Taking taylor expansion of x in y 8.961 * [backup-simplify]: Simplify x into x 8.961 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 8.961 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 8.961 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.961 * [taylor]: Taking taylor expansion of y in y 8.961 * [backup-simplify]: Simplify 0 into 0 8.961 * [backup-simplify]: Simplify 1 into 1 8.962 * [backup-simplify]: Simplify (/ 1 1) into 1 8.962 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.962 * [taylor]: Taking taylor expansion of x in y 8.962 * [backup-simplify]: Simplify x into x 8.962 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.962 * [taylor]: Taking taylor expansion of x in y 8.962 * [backup-simplify]: Simplify x into x 8.962 * [backup-simplify]: Simplify (+ 1 0) into 1 8.962 * [backup-simplify]: Simplify (* 1 x) into x 8.962 * [taylor]: Taking taylor expansion of x in x 8.962 * [backup-simplify]: Simplify 0 into 0 8.962 * [backup-simplify]: Simplify 1 into 1 8.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.963 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 8.963 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 x) x)) into 1 8.963 * [taylor]: Taking taylor expansion of 1 in x 8.963 * [backup-simplify]: Simplify 1 into 1 8.963 * [backup-simplify]: Simplify 0 into 0 8.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 8.964 * [backup-simplify]: Simplify (+ 0 0) into 0 8.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 0) (* 0 x))) into 0 8.964 * [taylor]: Taking taylor expansion of 0 in x 8.964 * [backup-simplify]: Simplify 0 into 0 8.964 * [backup-simplify]: Simplify 1 into 1 8.964 * [backup-simplify]: Simplify 1 into 1 8.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.965 * [backup-simplify]: Simplify (+ 0 0) into 0 8.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 x)))) into 0 8.966 * [taylor]: Taking taylor expansion of 0 in x 8.966 * [backup-simplify]: Simplify 0 into 0 8.966 * [backup-simplify]: Simplify 0 into 0 8.966 * [backup-simplify]: Simplify 0 into 0 8.966 * [backup-simplify]: Simplify 0 into 0 8.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.967 * [backup-simplify]: Simplify (+ 0 0) into 0 8.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 8.968 * [taylor]: Taking taylor expansion of 0 in x 8.968 * [backup-simplify]: Simplify 0 into 0 8.968 * [backup-simplify]: Simplify 0 into 0 8.969 * [backup-simplify]: Simplify 0 into 0 8.969 * [backup-simplify]: Simplify 0 into 0 8.969 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) 1) into (+ (/ y x) 1) 8.969 * * * [progress]: simplifying candidates 8.973 * [simplify]: Simplifying: (- 1) (- (- (log (+ y x)) (log x))) (- (log (/ (+ y x) x))) (- 0 (- (log (+ y x)) (log x))) (- 0 (log (/ (+ y x) x))) (- (log 1) (- (log (+ y x)) (log x))) (- (log 1) (log (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (exp (/ 1 (/ (+ y x) x))) (/ (* (* 1 1) 1) (/ (* (* (+ y x) (+ y x)) (+ y x)) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (+ y x) x) (/ (+ y x) x)) (/ (+ y x) x))) (* (cbrt (/ 1 (/ (+ y x) x))) (cbrt (/ 1 (/ (+ y x) x)))) (cbrt (/ 1 (/ (+ y x) x))) (* (* (/ 1 (/ (+ y x) x)) (/ 1 (/ (+ y x) x))) (/ 1 (/ (+ y x) x))) (sqrt (/ 1 (/ (+ y x) x))) (sqrt (/ 1 (/ (+ y x) x))) (- 1) (- (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ (cbrt 1) (cbrt (/ (+ y x) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ y x) x))) (/ (cbrt 1) (sqrt (/ (+ y x) x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (cbrt (+ y x)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ (cbrt 1) (/ (cbrt (+ y x)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ (cbrt 1) (/ (cbrt (+ y x)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (sqrt (+ y x)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y x)) (sqrt x))) (/ (cbrt 1) (/ (sqrt (+ y x)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y x)) 1)) (/ (cbrt 1) (/ (sqrt (+ y x)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ y x) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ y x) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ y x) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ y x) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) (+ y x)) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ (sqrt 1) (cbrt (/ (+ y x) x))) (/ (sqrt 1) (sqrt (/ (+ y x) x))) (/ (sqrt 1) (sqrt (/ (+ y x) x))) (/ (sqrt 1) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (cbrt (+ y x)) (cbrt x))) (/ (sqrt 1) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ (sqrt 1) (/ (cbrt (+ y x)) (sqrt x))) (/ (sqrt 1) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ (sqrt 1) (/ (cbrt (+ y x)) x)) (/ (sqrt 1) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (sqrt (+ y x)) (cbrt x))) (/ (sqrt 1) (/ (sqrt (+ y x)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ y x)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ y x)) 1)) (/ (sqrt 1) (/ (sqrt (+ y x)) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ y x) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ y x) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ y x) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ y x) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ y x) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ y x) x)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ y x) x)) (/ (sqrt 1) (+ y x)) (/ (sqrt 1) (/ 1 x)) (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (cbrt (+ y x)) (cbrt x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ 1 (/ (cbrt (+ y x)) (sqrt x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ 1 (/ (cbrt (+ y x)) x)) (/ 1 (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ y x)) (cbrt x))) (/ 1 (/ (sqrt (+ y x)) (sqrt x))) (/ 1 (/ (sqrt (+ y x)) (sqrt x))) (/ 1 (/ (sqrt (+ y x)) 1)) (/ 1 (/ (sqrt (+ y x)) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ y x) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ y x) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ y x) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ y x) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ y x) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ y x) x)) (/ 1 1) (/ 1 (/ (+ y x) x)) (/ 1 (+ y x)) (/ 1 (/ 1 x)) (/ 1 (/ (+ y x) x)) (/ (/ (+ y x) x) 1) (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ 1 (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ y x)) (sqrt x))) (/ 1 (/ (sqrt (+ y x)) 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 (+ y x)) (/ (/ (+ y x) x) (cbrt 1)) (/ (/ (+ y x) x) (sqrt 1)) (/ (/ (+ y x) x) 1) (/ 1 (+ y x)) (- (log (+ y x)) (log x)) (log (/ (+ y x) x)) (exp (/ (+ y x) x)) (/ (* (* (+ y x) (+ y x)) (+ y x)) (* (* x x) x)) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x)) (* (* (/ (+ y x) x) (/ (+ y x) x)) (/ (+ y x) x)) (sqrt (/ (+ y x) x)) (sqrt (/ (+ y x) x)) (- (+ y x)) (- x) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ y x)) (cbrt x)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x)) (/ (cbrt (+ y x)) (sqrt x)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1) (/ (cbrt (+ y x)) x) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ y x)) (cbrt x)) (/ (sqrt (+ y x)) (sqrt x)) (/ (sqrt (+ y x)) (sqrt x)) (/ (sqrt (+ y x)) 1) (/ (sqrt (+ y x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) (/ 1 1) (/ (+ y x) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) (/ 1 1) (/ (+ y x) x) (/ 1 x) (/ x (+ y x)) (/ (+ y x) (* (cbrt x) (cbrt x))) (/ (+ y x) (sqrt x)) (/ (+ y x) 1) (/ x (cbrt (+ y x))) (/ x (sqrt (+ y x))) (/ x (+ y x)) (/ x (+ y x)) (* x (+ (* y y) (- (* x x) (* y x)))) (* x (- y x)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 8.978 * * [simplify]: Extracting # 0 : cost 0 8.978 * * [simplify]: Extracting # 1 : cost 0 8.978 * * [simplify]: Extracting # 2 : cost 0 8.979 * * [simplify]: Extracting # 3 : cost 0 8.979 * * [simplify]: Extracting # 4 : cost 0 8.980 * * [simplify]: Extracting # 5 : cost 0 8.980 * * [simplify]: Extracting # 6 : cost 0 8.981 * * [simplify]: iteration 0 : 156 enodes (cost 1634 ) 9.043 * * [simplify]: Extracting # 0 : cost 0 9.044 * * [simplify]: Extracting # 1 : cost 0 9.044 * * [simplify]: Extracting # 2 : cost 0 9.044 * * [simplify]: Extracting # 3 : cost 0 9.045 * * [simplify]: Extracting # 4 : cost 0 9.045 * * [simplify]: iteration 1 : 335 enodes (cost 1347 ) 9.122 * * [simplify]: Extracting # 0 : cost 0 9.123 * * [simplify]: Extracting # 1 : cost 0 9.124 * * [simplify]: Extracting # 2 : cost 0 9.125 * * [simplify]: Extracting # 3 : cost 0 9.127 * * [simplify]: Extracting # 4 : cost 0 9.128 * * [simplify]: iteration 2 : 654 enodes (cost 1180 ) 9.417 * * [simplify]: Extracting # 0 : cost 0 9.419 * * [simplify]: Extracting # 1 : cost 0 9.420 * * [simplify]: Extracting # 2 : cost 0 9.421 * * [simplify]: Extracting # 3 : cost 0 9.422 * * [simplify]: Extracting # 4 : cost 0 9.424 * * [simplify]: Extracting # 5 : cost 0 9.425 * * [simplify]: iteration 3 : 1319 enodes (cost 1156 ) 10.315 * * [simplify]: Extracting # 0 : cost 0 10.318 * * [simplify]: Extracting # 1 : cost 0 10.320 * * [simplify]: Extracting # 2 : cost 0 10.321 * * [simplify]: Extracting # 3 : cost 0 10.324 * * [simplify]: Extracting # 4 : cost 0 10.325 * * [simplify]: iteration 4 : 2384 enodes (cost 1156 ) 12.079 * * [simplify]: Extracting # 0 : cost 0 12.085 * * [simplify]: Extracting # 1 : cost 0 12.089 * * [simplify]: Extracting # 2 : cost 0 12.094 * * [simplify]: Extracting # 3 : cost 0 12.099 * * [simplify]: Extracting # 4 : cost 0 12.103 * * [simplify]: iteration done: 5000 enodes (cost 1155 ) 12.104 * [simplify]: Simplified to: -1 (log (/ x (+ y x))) (log (/ 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))) -1 (- -1 (/ y x)) (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (/ 1 (cbrt (+ y x))) (cbrt (+ x y))) (/ x (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ x y)) x (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (/ 1 (cbrt (+ y x))) (cbrt (+ x y))) (/ x (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ x y)) x (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (/ 1 (cbrt (+ y x))) (cbrt (+ x y))) (/ x (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ x y)) x (/ x (+ y x)) (/ (+ y x) x) (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (/ 1 (cbrt (+ y x))) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (sqrt x) 1 (* (cbrt x) (cbrt x)) (sqrt x) 1 1 (/ 1 (+ x y)) (/ (+ y x) x) (/ (+ y x) x) (/ (+ y x) x) (/ 1 (+ x y)) (log (/ (+ y x) x)) (log (/ (+ y x) x)) (exp (/ (+ y x) x)) (pow (/ (+ y x) x) 3) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x)) (pow (/ (+ y x) x) 3) (sqrt (/ (+ y x) x)) (sqrt (/ (+ y x) x)) (- (+ y x)) (- x) (/ (* (/ (cbrt (+ y x)) (cbrt x)) (cbrt (+ y x))) (cbrt x)) (/ (cbrt (+ y x)) (cbrt x)) (* (/ (cbrt (+ x y)) (sqrt x)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (sqrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ y x)) x) (/ (/ (sqrt (+ y x)) (cbrt x)) (cbrt x)) (/ (sqrt (+ y x)) (cbrt x)) (/ (sqrt (+ y x)) (sqrt x)) (/ (sqrt (+ y x)) (sqrt x)) (sqrt (+ y x)) (/ (sqrt (+ y x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) 1 (/ (+ y x) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) 1 (/ (+ y x) x) (/ 1 x) (/ x (+ y x)) (/ (+ y x) (* (cbrt x) (cbrt x))) (/ (+ y x) (sqrt x)) (+ y x) (/ x (cbrt (+ y x))) (/ x (sqrt (+ y x))) (/ x (+ y x)) (/ x (+ y x)) (* (+ (* x (- x y)) (* y y)) x) (* x (- y x)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 12.105 * * * [progress]: adding candidates to table 12.279 * * [progress]: iteration 4 / 4 12.279 * * * [progress]: picking best candidate 12.280 * * * * [pick]: Picked # 12.280 * * * [progress]: localizing error 12.287 * * * [progress]: generating rewritten candidates 12.287 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 12.298 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 12.310 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 12.416 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 12.441 * * * [progress]: generating series expansions 12.441 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 12.441 * [backup-simplify]: Simplify (sqrt (/ x (+ y x))) into (sqrt (/ x (+ x y))) 12.441 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 12.441 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 12.441 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 12.441 * [taylor]: Taking taylor expansion of x in y 12.441 * [backup-simplify]: Simplify x into x 12.441 * [taylor]: Taking taylor expansion of (+ x y) in y 12.441 * [taylor]: Taking taylor expansion of x in y 12.441 * [backup-simplify]: Simplify x into x 12.441 * [taylor]: Taking taylor expansion of y in y 12.441 * [backup-simplify]: Simplify 0 into 0 12.441 * [backup-simplify]: Simplify 1 into 1 12.441 * [backup-simplify]: Simplify (+ x 0) into x 12.441 * [backup-simplify]: Simplify (/ x x) into 1 12.442 * [backup-simplify]: Simplify (sqrt 1) into 1 12.442 * [backup-simplify]: Simplify (+ 0 1) into 1 12.442 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 1 x)))) into (- (/ 1 x)) 12.443 * [backup-simplify]: Simplify (/ (- (/ 1 x)) (* 2 (sqrt 1))) into (/ -1/2 x) 12.443 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 12.443 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.443 * [taylor]: Taking taylor expansion of x in x 12.443 * [backup-simplify]: Simplify 0 into 0 12.443 * [backup-simplify]: Simplify 1 into 1 12.443 * [taylor]: Taking taylor expansion of (+ x y) in x 12.443 * [taylor]: Taking taylor expansion of x in x 12.443 * [backup-simplify]: Simplify 0 into 0 12.443 * [backup-simplify]: Simplify 1 into 1 12.443 * [taylor]: Taking taylor expansion of y in x 12.443 * [backup-simplify]: Simplify y into y 12.443 * [backup-simplify]: Simplify (+ 0 y) into y 12.443 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.443 * [backup-simplify]: Simplify (sqrt 0) into 0 12.444 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 12.444 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 12.444 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.444 * [taylor]: Taking taylor expansion of x in x 12.444 * [backup-simplify]: Simplify 0 into 0 12.444 * [backup-simplify]: Simplify 1 into 1 12.444 * [taylor]: Taking taylor expansion of (+ x y) in x 12.444 * [taylor]: Taking taylor expansion of x in x 12.444 * [backup-simplify]: Simplify 0 into 0 12.444 * [backup-simplify]: Simplify 1 into 1 12.444 * [taylor]: Taking taylor expansion of y in x 12.444 * [backup-simplify]: Simplify y into y 12.444 * [backup-simplify]: Simplify (+ 0 y) into y 12.444 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.444 * [backup-simplify]: Simplify (sqrt 0) into 0 12.445 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 12.445 * [taylor]: Taking taylor expansion of 0 in y 12.445 * [backup-simplify]: Simplify 0 into 0 12.445 * [backup-simplify]: Simplify 0 into 0 12.445 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 12.445 * [taylor]: Taking taylor expansion of +nan.0 in y 12.445 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.445 * [taylor]: Taking taylor expansion of y in y 12.445 * [backup-simplify]: Simplify 0 into 0 12.445 * [backup-simplify]: Simplify 1 into 1 12.445 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 12.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 12.446 * [backup-simplify]: Simplify 0 into 0 12.446 * [backup-simplify]: Simplify 0 into 0 12.446 * [backup-simplify]: Simplify (+ 1 0) into 1 12.446 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 12.447 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 2))) (pow (/ +nan.0 y) 2) (+)) (* 2 0)) into (/ +nan.0 (pow y 2)) 12.447 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 12.447 * [taylor]: Taking taylor expansion of +nan.0 in y 12.447 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.447 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.447 * [taylor]: Taking taylor expansion of y in y 12.447 * [backup-simplify]: Simplify 0 into 0 12.447 * [backup-simplify]: Simplify 1 into 1 12.447 * [backup-simplify]: Simplify (* 1 1) into 1 12.448 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 12.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 12.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.450 * [backup-simplify]: Simplify 0 into 0 12.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.450 * [backup-simplify]: Simplify 0 into 0 12.450 * [backup-simplify]: Simplify 0 into 0 12.450 * [backup-simplify]: Simplify 0 into 0 12.451 * [backup-simplify]: Simplify (sqrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 12.451 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 12.451 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 12.451 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.451 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.451 * [taylor]: Taking taylor expansion of x in y 12.451 * [backup-simplify]: Simplify x into x 12.451 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.451 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.451 * [taylor]: Taking taylor expansion of y in y 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 12.451 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.451 * [taylor]: Taking taylor expansion of x in y 12.451 * [backup-simplify]: Simplify x into x 12.451 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.451 * [backup-simplify]: Simplify (+ 1 0) into 1 12.451 * [backup-simplify]: Simplify (* x 1) into x 12.451 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.452 * [backup-simplify]: Simplify (sqrt 0) into 0 12.452 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 12.452 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.452 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.452 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.452 * [taylor]: Taking taylor expansion of x in x 12.452 * [backup-simplify]: Simplify 0 into 0 12.452 * [backup-simplify]: Simplify 1 into 1 12.452 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.452 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.452 * [taylor]: Taking taylor expansion of y in x 12.452 * [backup-simplify]: Simplify y into y 12.452 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.452 * [taylor]: Taking taylor expansion of x in x 12.452 * [backup-simplify]: Simplify 0 into 0 12.452 * [backup-simplify]: Simplify 1 into 1 12.453 * [backup-simplify]: Simplify (/ 1 1) into 1 12.453 * [backup-simplify]: Simplify (+ 0 1) into 1 12.453 * [backup-simplify]: Simplify (* 0 1) into 0 12.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.454 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.454 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.454 * [backup-simplify]: Simplify (/ 1 1) into 1 12.455 * [backup-simplify]: Simplify (sqrt 1) into 1 12.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.456 * [backup-simplify]: Simplify (+ 0 0) into 0 12.456 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.457 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.457 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.457 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.457 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.457 * [taylor]: Taking taylor expansion of x in x 12.457 * [backup-simplify]: Simplify 0 into 0 12.457 * [backup-simplify]: Simplify 1 into 1 12.457 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.457 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.457 * [taylor]: Taking taylor expansion of y in x 12.457 * [backup-simplify]: Simplify y into y 12.457 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.457 * [taylor]: Taking taylor expansion of x in x 12.457 * [backup-simplify]: Simplify 0 into 0 12.457 * [backup-simplify]: Simplify 1 into 1 12.457 * [backup-simplify]: Simplify (/ 1 1) into 1 12.457 * [backup-simplify]: Simplify (+ 0 1) into 1 12.458 * [backup-simplify]: Simplify (* 0 1) into 0 12.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.458 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.459 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.459 * [backup-simplify]: Simplify (/ 1 1) into 1 12.459 * [backup-simplify]: Simplify (sqrt 1) into 1 12.459 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.460 * [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)) 12.461 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.461 * [taylor]: Taking taylor expansion of 1 in y 12.461 * [backup-simplify]: Simplify 1 into 1 12.461 * [backup-simplify]: Simplify 1 into 1 12.461 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 12.461 * [taylor]: Taking taylor expansion of -1/2 in y 12.461 * [backup-simplify]: Simplify -1/2 into -1/2 12.461 * [taylor]: Taking taylor expansion of y in y 12.461 * [backup-simplify]: Simplify 0 into 0 12.461 * [backup-simplify]: Simplify 1 into 1 12.461 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.462 * [backup-simplify]: Simplify 0 into 0 12.462 * [backup-simplify]: Simplify 0 into 0 12.462 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.463 * [backup-simplify]: Simplify (+ 0 0) into 0 12.464 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.465 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 12.465 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 12.465 * [taylor]: Taking taylor expansion of 3/8 in y 12.465 * [backup-simplify]: Simplify 3/8 into 3/8 12.465 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.465 * [taylor]: Taking taylor expansion of y in y 12.465 * [backup-simplify]: Simplify 0 into 0 12.465 * [backup-simplify]: Simplify 1 into 1 12.465 * [backup-simplify]: Simplify (* 1 1) into 1 12.465 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 12.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.467 * [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 12.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.468 * [backup-simplify]: Simplify 0 into 0 12.468 * [backup-simplify]: Simplify 0 into 0 12.468 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.469 * [backup-simplify]: Simplify (+ 0 0) into 0 12.470 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 12.471 * [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 12.472 * [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 12.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 12.476 * [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 * [backup-simplify]: Simplify (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 12.477 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 12.477 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 12.477 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.477 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) 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 (+ (/ 1 y) (/ 1 x)) in y 12.477 * [taylor]: Taking taylor expansion of (/ 1 y) in y 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 12.478 * [backup-simplify]: Simplify (/ 1 1) into 1 12.478 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.478 * [taylor]: Taking taylor expansion of x in y 12.478 * [backup-simplify]: Simplify x into x 12.478 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.478 * [backup-simplify]: Simplify (+ 1 0) into 1 12.478 * [backup-simplify]: Simplify (* x 1) into x 12.478 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.478 * [backup-simplify]: Simplify (sqrt 0) into 0 12.479 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 12.479 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.479 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.479 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.479 * [taylor]: Taking taylor expansion of x in x 12.479 * [backup-simplify]: Simplify 0 into 0 12.479 * [backup-simplify]: Simplify 1 into 1 12.479 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.479 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.479 * [taylor]: Taking taylor expansion of y in x 12.479 * [backup-simplify]: Simplify y into y 12.479 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.479 * [taylor]: Taking taylor expansion of x in x 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 (+ 0 1) into 1 12.480 * [backup-simplify]: Simplify (* 0 1) into 0 12.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.480 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.481 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.481 * [backup-simplify]: Simplify (/ 1 1) into 1 12.481 * [backup-simplify]: Simplify (sqrt 1) into 1 12.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.482 * [backup-simplify]: Simplify (+ 0 0) into 0 12.482 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.483 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.483 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.483 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.483 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.483 * [taylor]: Taking taylor expansion of x in x 12.483 * [backup-simplify]: Simplify 0 into 0 12.483 * [backup-simplify]: Simplify 1 into 1 12.483 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.483 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.483 * [taylor]: Taking taylor expansion of y in x 12.483 * [backup-simplify]: Simplify y into y 12.483 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.483 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.483 * [taylor]: Taking taylor expansion of x in x 12.483 * [backup-simplify]: Simplify 0 into 0 12.483 * [backup-simplify]: Simplify 1 into 1 12.484 * [backup-simplify]: Simplify (/ 1 1) into 1 12.484 * [backup-simplify]: Simplify (+ 0 1) into 1 12.484 * [backup-simplify]: Simplify (* 0 1) into 0 12.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.485 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.485 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.485 * [backup-simplify]: Simplify (/ 1 1) into 1 12.486 * [backup-simplify]: Simplify (sqrt 1) into 1 12.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.486 * [backup-simplify]: Simplify (+ 0 0) into 0 12.487 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.488 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.488 * [taylor]: Taking taylor expansion of 1 in y 12.488 * [backup-simplify]: Simplify 1 into 1 12.488 * [backup-simplify]: Simplify 1 into 1 12.488 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 12.488 * [taylor]: Taking taylor expansion of -1/2 in y 12.488 * [backup-simplify]: Simplify -1/2 into -1/2 12.488 * [taylor]: Taking taylor expansion of y in y 12.488 * [backup-simplify]: Simplify 0 into 0 12.488 * [backup-simplify]: Simplify 1 into 1 12.488 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.489 * [backup-simplify]: Simplify 0 into 0 12.489 * [backup-simplify]: Simplify 0 into 0 12.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.490 * [backup-simplify]: Simplify (+ 0 0) into 0 12.490 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.492 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 12.492 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 12.492 * [taylor]: Taking taylor expansion of 3/8 in y 12.492 * [backup-simplify]: Simplify 3/8 into 3/8 12.492 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.492 * [taylor]: Taking taylor expansion of y in y 12.492 * [backup-simplify]: Simplify 0 into 0 12.492 * [backup-simplify]: Simplify 1 into 1 12.492 * [backup-simplify]: Simplify (* 1 1) into 1 12.492 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 12.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 12.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.494 * [backup-simplify]: Simplify 0 into 0 12.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.495 * [backup-simplify]: Simplify 0 into 0 12.495 * [backup-simplify]: Simplify 0 into 0 12.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.496 * [backup-simplify]: Simplify (+ 0 0) into 0 12.497 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 12.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 12.498 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 12.498 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 12.498 * [taylor]: Taking taylor expansion of -5/16 in y 12.498 * [backup-simplify]: Simplify -5/16 into -5/16 12.498 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.498 * [taylor]: Taking taylor expansion of y in y 12.498 * [backup-simplify]: Simplify 0 into 0 12.498 * [backup-simplify]: Simplify 1 into 1 12.498 * [backup-simplify]: Simplify (* 1 1) into 1 12.499 * [backup-simplify]: Simplify (* 1 1) into 1 12.499 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 12.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 12.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.504 * [backup-simplify]: Simplify 0 into 0 12.504 * [backup-simplify]: Simplify 1 into 1 12.504 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 12.504 * [backup-simplify]: Simplify (sqrt (/ x (+ y x))) into (sqrt (/ x (+ x y))) 12.504 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 12.504 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 12.504 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 12.504 * [taylor]: Taking taylor expansion of x in y 12.504 * [backup-simplify]: Simplify x into x 12.504 * [taylor]: Taking taylor expansion of (+ x y) in y 12.504 * [taylor]: Taking taylor expansion of x in y 12.504 * [backup-simplify]: Simplify x into x 12.504 * [taylor]: Taking taylor expansion of y in y 12.504 * [backup-simplify]: Simplify 0 into 0 12.504 * [backup-simplify]: Simplify 1 into 1 12.504 * [backup-simplify]: Simplify (+ x 0) into x 12.504 * [backup-simplify]: Simplify (/ x x) into 1 12.504 * [backup-simplify]: Simplify (sqrt 1) into 1 12.504 * [backup-simplify]: Simplify (+ 0 1) into 1 12.505 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 1 x)))) into (- (/ 1 x)) 12.505 * [backup-simplify]: Simplify (/ (- (/ 1 x)) (* 2 (sqrt 1))) into (/ -1/2 x) 12.505 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 12.505 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.505 * [taylor]: Taking taylor expansion of x in x 12.505 * [backup-simplify]: Simplify 0 into 0 12.505 * [backup-simplify]: Simplify 1 into 1 12.505 * [taylor]: Taking taylor expansion of (+ x y) in x 12.505 * [taylor]: Taking taylor expansion of x in x 12.505 * [backup-simplify]: Simplify 0 into 0 12.505 * [backup-simplify]: Simplify 1 into 1 12.505 * [taylor]: Taking taylor expansion of y in x 12.505 * [backup-simplify]: Simplify y into y 12.505 * [backup-simplify]: Simplify (+ 0 y) into y 12.505 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.505 * [backup-simplify]: Simplify (sqrt 0) into 0 12.506 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 12.506 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 12.506 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.506 * [taylor]: Taking taylor expansion of x in x 12.506 * [backup-simplify]: Simplify 0 into 0 12.506 * [backup-simplify]: Simplify 1 into 1 12.506 * [taylor]: Taking taylor expansion of (+ x y) in x 12.506 * [taylor]: Taking taylor expansion of x in x 12.506 * [backup-simplify]: Simplify 0 into 0 12.506 * [backup-simplify]: Simplify 1 into 1 12.506 * [taylor]: Taking taylor expansion of y in x 12.506 * [backup-simplify]: Simplify y into y 12.506 * [backup-simplify]: Simplify (+ 0 y) into y 12.506 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.506 * [backup-simplify]: Simplify (sqrt 0) into 0 12.507 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 12.507 * [taylor]: Taking taylor expansion of 0 in y 12.507 * [backup-simplify]: Simplify 0 into 0 12.507 * [backup-simplify]: Simplify 0 into 0 12.507 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 12.507 * [taylor]: Taking taylor expansion of +nan.0 in y 12.507 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.507 * [taylor]: Taking taylor expansion of y in y 12.507 * [backup-simplify]: Simplify 0 into 0 12.507 * [backup-simplify]: Simplify 1 into 1 12.507 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 12.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 12.508 * [backup-simplify]: Simplify 0 into 0 12.508 * [backup-simplify]: Simplify 0 into 0 12.509 * [backup-simplify]: Simplify (+ 1 0) into 1 12.509 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 12.510 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 2))) (pow (/ +nan.0 y) 2) (+)) (* 2 0)) into (/ +nan.0 (pow y 2)) 12.510 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 12.510 * [taylor]: Taking taylor expansion of +nan.0 in y 12.510 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.510 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.510 * [taylor]: Taking taylor expansion of y in y 12.510 * [backup-simplify]: Simplify 0 into 0 12.510 * [backup-simplify]: Simplify 1 into 1 12.510 * [backup-simplify]: Simplify (* 1 1) into 1 12.511 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 12.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 12.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.514 * [backup-simplify]: Simplify 0 into 0 12.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.515 * [backup-simplify]: Simplify 0 into 0 12.515 * [backup-simplify]: Simplify 0 into 0 12.515 * [backup-simplify]: Simplify 0 into 0 12.516 * [backup-simplify]: Simplify (sqrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 12.516 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 12.516 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 12.516 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.516 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.516 * [taylor]: Taking taylor expansion of x in y 12.516 * [backup-simplify]: Simplify x into x 12.516 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.516 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.516 * [taylor]: Taking taylor expansion of y in y 12.516 * [backup-simplify]: Simplify 0 into 0 12.516 * [backup-simplify]: Simplify 1 into 1 12.516 * [backup-simplify]: Simplify (/ 1 1) into 1 12.516 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.516 * [taylor]: Taking taylor expansion of x in y 12.517 * [backup-simplify]: Simplify x into x 12.517 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.517 * [backup-simplify]: Simplify (+ 1 0) into 1 12.517 * [backup-simplify]: Simplify (* x 1) into x 12.517 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.517 * [backup-simplify]: Simplify (sqrt 0) into 0 12.518 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 12.518 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.518 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.518 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.518 * [taylor]: Taking taylor expansion of x in x 12.518 * [backup-simplify]: Simplify 0 into 0 12.518 * [backup-simplify]: Simplify 1 into 1 12.518 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.518 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.518 * [taylor]: Taking taylor expansion of y in x 12.518 * [backup-simplify]: Simplify y into y 12.518 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.518 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.518 * [taylor]: Taking taylor expansion of x in x 12.518 * [backup-simplify]: Simplify 0 into 0 12.518 * [backup-simplify]: Simplify 1 into 1 12.519 * [backup-simplify]: Simplify (/ 1 1) into 1 12.519 * [backup-simplify]: Simplify (+ 0 1) into 1 12.520 * [backup-simplify]: Simplify (* 0 1) into 0 12.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.521 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.521 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.521 * [backup-simplify]: Simplify (/ 1 1) into 1 12.522 * [backup-simplify]: Simplify (sqrt 1) into 1 12.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.523 * [backup-simplify]: Simplify (+ 0 0) into 0 12.524 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.530 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.530 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.530 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.530 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.530 * [taylor]: Taking taylor expansion of x in x 12.530 * [backup-simplify]: Simplify 0 into 0 12.530 * [backup-simplify]: Simplify 1 into 1 12.530 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.530 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.530 * [taylor]: Taking taylor expansion of y in x 12.530 * [backup-simplify]: Simplify y into y 12.530 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.530 * [taylor]: Taking taylor expansion of x in x 12.530 * [backup-simplify]: Simplify 0 into 0 12.530 * [backup-simplify]: Simplify 1 into 1 12.530 * [backup-simplify]: Simplify (/ 1 1) into 1 12.531 * [backup-simplify]: Simplify (+ 0 1) into 1 12.531 * [backup-simplify]: Simplify (* 0 1) into 0 12.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.531 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.532 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.532 * [backup-simplify]: Simplify (/ 1 1) into 1 12.532 * [backup-simplify]: Simplify (sqrt 1) into 1 12.532 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.533 * [backup-simplify]: Simplify (+ 0 0) into 0 12.534 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.534 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.534 * [taylor]: Taking taylor expansion of 1 in y 12.534 * [backup-simplify]: Simplify 1 into 1 12.534 * [backup-simplify]: Simplify 1 into 1 12.534 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 12.534 * [taylor]: Taking taylor expansion of -1/2 in y 12.534 * [backup-simplify]: Simplify -1/2 into -1/2 12.534 * [taylor]: Taking taylor expansion of y in y 12.534 * [backup-simplify]: Simplify 0 into 0 12.534 * [backup-simplify]: Simplify 1 into 1 12.535 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 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 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.536 * [backup-simplify]: Simplify (+ 0 0) into 0 12.537 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.538 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 12.538 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 12.539 * [taylor]: Taking taylor expansion of 3/8 in y 12.539 * [backup-simplify]: Simplify 3/8 into 3/8 12.539 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.539 * [taylor]: Taking taylor expansion of y in y 12.539 * [backup-simplify]: Simplify 0 into 0 12.539 * [backup-simplify]: Simplify 1 into 1 12.539 * [backup-simplify]: Simplify (* 1 1) into 1 12.539 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 12.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 12.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.541 * [backup-simplify]: Simplify 0 into 0 12.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.542 * [backup-simplify]: Simplify 0 into 0 12.542 * [backup-simplify]: Simplify 0 into 0 12.542 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.543 * [backup-simplify]: Simplify (+ 0 0) into 0 12.544 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 12.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 12.545 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 12.545 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 12.545 * [taylor]: Taking taylor expansion of -5/16 in y 12.545 * [backup-simplify]: Simplify -5/16 into -5/16 12.545 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.545 * [taylor]: Taking taylor expansion of y in y 12.545 * [backup-simplify]: Simplify 0 into 0 12.545 * [backup-simplify]: Simplify 1 into 1 12.545 * [backup-simplify]: Simplify (* 1 1) into 1 12.546 * [backup-simplify]: Simplify (* 1 1) into 1 12.546 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 12.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 12.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.550 * [backup-simplify]: Simplify 0 into 0 12.551 * [backup-simplify]: Simplify 1 into 1 12.551 * [backup-simplify]: Simplify (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 12.551 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 12.551 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 12.551 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.551 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.551 * [taylor]: Taking taylor expansion of x in y 12.551 * [backup-simplify]: Simplify x into x 12.551 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.551 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.551 * [taylor]: Taking taylor expansion of y in y 12.551 * [backup-simplify]: Simplify 0 into 0 12.551 * [backup-simplify]: Simplify 1 into 1 12.551 * [backup-simplify]: Simplify (/ 1 1) into 1 12.551 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.551 * [taylor]: Taking taylor expansion of x in y 12.551 * [backup-simplify]: Simplify x into x 12.551 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.552 * [backup-simplify]: Simplify (+ 1 0) into 1 12.552 * [backup-simplify]: Simplify (* x 1) into x 12.552 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.552 * [backup-simplify]: Simplify (sqrt 0) into 0 12.552 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 12.552 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.552 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.552 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.553 * [taylor]: Taking taylor expansion of x in x 12.553 * [backup-simplify]: Simplify 0 into 0 12.553 * [backup-simplify]: Simplify 1 into 1 12.553 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.553 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.553 * [taylor]: Taking taylor expansion of y in x 12.553 * [backup-simplify]: Simplify y into y 12.553 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.553 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.553 * [taylor]: Taking taylor expansion of x in x 12.553 * [backup-simplify]: Simplify 0 into 0 12.553 * [backup-simplify]: Simplify 1 into 1 12.553 * [backup-simplify]: Simplify (/ 1 1) into 1 12.553 * [backup-simplify]: Simplify (+ 0 1) into 1 12.553 * [backup-simplify]: Simplify (* 0 1) into 0 12.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.554 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.554 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.554 * [backup-simplify]: Simplify (/ 1 1) into 1 12.555 * [backup-simplify]: Simplify (sqrt 1) into 1 12.555 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.556 * [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)) 12.557 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.557 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.557 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.557 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.557 * [taylor]: Taking taylor expansion of x in x 12.557 * [backup-simplify]: Simplify 0 into 0 12.557 * [backup-simplify]: Simplify 1 into 1 12.557 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.557 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.557 * [taylor]: Taking taylor expansion of y in x 12.557 * [backup-simplify]: Simplify y into y 12.557 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.557 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.557 * [taylor]: Taking taylor expansion of x in x 12.557 * [backup-simplify]: Simplify 0 into 0 12.557 * [backup-simplify]: Simplify 1 into 1 12.557 * [backup-simplify]: Simplify (/ 1 1) into 1 12.557 * [backup-simplify]: Simplify (+ 0 1) into 1 12.558 * [backup-simplify]: Simplify (* 0 1) into 0 12.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.558 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.558 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.559 * [backup-simplify]: Simplify (/ 1 1) into 1 12.559 * [backup-simplify]: Simplify (sqrt 1) into 1 12.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.560 * [backup-simplify]: Simplify (+ 0 0) into 0 12.561 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.562 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.562 * [taylor]: Taking taylor expansion of 1 in y 12.562 * [backup-simplify]: Simplify 1 into 1 12.562 * [backup-simplify]: Simplify 1 into 1 12.562 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 12.562 * [taylor]: Taking taylor expansion of -1/2 in y 12.562 * [backup-simplify]: Simplify -1/2 into -1/2 12.562 * [taylor]: Taking taylor expansion of y in y 12.562 * [backup-simplify]: Simplify 0 into 0 12.562 * [backup-simplify]: Simplify 1 into 1 12.563 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.564 * [backup-simplify]: Simplify 0 into 0 12.564 * [backup-simplify]: Simplify 0 into 0 12.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.565 * [backup-simplify]: Simplify (+ 0 0) into 0 12.566 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.568 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 12.568 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 12.568 * [taylor]: Taking taylor expansion of 3/8 in y 12.569 * [backup-simplify]: Simplify 3/8 into 3/8 12.569 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.569 * [taylor]: Taking taylor expansion of y in y 12.569 * [backup-simplify]: Simplify 0 into 0 12.569 * [backup-simplify]: Simplify 1 into 1 12.569 * [backup-simplify]: Simplify (* 1 1) into 1 12.569 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 12.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 12.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.573 * [backup-simplify]: Simplify 0 into 0 12.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.574 * [backup-simplify]: Simplify 0 into 0 12.574 * [backup-simplify]: Simplify 0 into 0 12.574 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.576 * [backup-simplify]: Simplify (+ 0 0) into 0 12.577 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 12.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 12.580 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 12.580 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 12.580 * [taylor]: Taking taylor expansion of -5/16 in y 12.580 * [backup-simplify]: Simplify -5/16 into -5/16 12.580 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.580 * [taylor]: Taking taylor expansion of y in y 12.580 * [backup-simplify]: Simplify 0 into 0 12.580 * [backup-simplify]: Simplify 1 into 1 12.581 * [backup-simplify]: Simplify (* 1 1) into 1 12.581 * [backup-simplify]: Simplify (* 1 1) into 1 12.581 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 12.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 12.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.590 * [backup-simplify]: Simplify 0 into 0 12.590 * [backup-simplify]: Simplify 1 into 1 12.590 * * * * [progress]: [ 3 / 4 ] generating series at (2) 12.591 * [backup-simplify]: Simplify (* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x)))) into (/ x (+ x y)) 12.591 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 12.591 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 12.591 * [taylor]: Taking taylor expansion of x in y 12.591 * [backup-simplify]: Simplify x into x 12.591 * [taylor]: Taking taylor expansion of (+ x y) in y 12.591 * [taylor]: Taking taylor expansion of x in y 12.591 * [backup-simplify]: Simplify x into x 12.591 * [taylor]: Taking taylor expansion of y in y 12.591 * [backup-simplify]: Simplify 0 into 0 12.591 * [backup-simplify]: Simplify 1 into 1 12.591 * [backup-simplify]: Simplify (+ x 0) into x 12.591 * [backup-simplify]: Simplify (/ x x) into 1 12.591 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.591 * [taylor]: Taking taylor expansion of x in x 12.591 * [backup-simplify]: Simplify 0 into 0 12.591 * [backup-simplify]: Simplify 1 into 1 12.591 * [taylor]: Taking taylor expansion of (+ x y) in x 12.591 * [taylor]: Taking taylor expansion of x in x 12.591 * [backup-simplify]: Simplify 0 into 0 12.591 * [backup-simplify]: Simplify 1 into 1 12.591 * [taylor]: Taking taylor expansion of y in x 12.591 * [backup-simplify]: Simplify y into y 12.591 * [backup-simplify]: Simplify (+ 0 y) into y 12.591 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.592 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.592 * [taylor]: Taking taylor expansion of x in x 12.592 * [backup-simplify]: Simplify 0 into 0 12.592 * [backup-simplify]: Simplify 1 into 1 12.592 * [taylor]: Taking taylor expansion of (+ x y) in x 12.592 * [taylor]: Taking taylor expansion of x in x 12.592 * [backup-simplify]: Simplify 0 into 0 12.592 * [backup-simplify]: Simplify 1 into 1 12.592 * [taylor]: Taking taylor expansion of y in x 12.592 * [backup-simplify]: Simplify y into y 12.592 * [backup-simplify]: Simplify (+ 0 y) into y 12.592 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.592 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.592 * [taylor]: Taking taylor expansion of y in y 12.592 * [backup-simplify]: Simplify 0 into 0 12.592 * [backup-simplify]: Simplify 1 into 1 12.593 * [backup-simplify]: Simplify (/ 1 1) into 1 12.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.593 * [backup-simplify]: Simplify 0 into 0 12.594 * [backup-simplify]: Simplify (+ 1 0) into 1 12.594 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 12.594 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 12.594 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.594 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.594 * [taylor]: Taking taylor expansion of y in y 12.594 * [backup-simplify]: Simplify 0 into 0 12.594 * [backup-simplify]: Simplify 1 into 1 12.595 * [backup-simplify]: Simplify (* 1 1) into 1 12.595 * [backup-simplify]: Simplify (/ 1 1) into 1 12.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.599 * [backup-simplify]: Simplify (- 0) into 0 12.599 * [backup-simplify]: Simplify 0 into 0 12.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.600 * [backup-simplify]: Simplify 0 into 0 12.600 * [backup-simplify]: Simplify (+ 0 0) into 0 12.600 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 12.600 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 12.601 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.601 * [taylor]: Taking taylor expansion of y in y 12.601 * [backup-simplify]: Simplify 0 into 0 12.601 * [backup-simplify]: Simplify 1 into 1 12.601 * [backup-simplify]: Simplify (* 1 1) into 1 12.601 * [backup-simplify]: Simplify (* 1 1) into 1 12.602 * [backup-simplify]: Simplify (/ 1 1) into 1 12.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.609 * [backup-simplify]: Simplify 0 into 0 12.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.612 * [backup-simplify]: Simplify (- 0) into 0 12.612 * [backup-simplify]: Simplify 0 into 0 12.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.613 * [backup-simplify]: Simplify 0 into 0 12.613 * [backup-simplify]: Simplify 0 into 0 12.613 * [backup-simplify]: Simplify (* (sqrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))) (sqrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 12.613 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 12.613 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.613 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.613 * [taylor]: Taking taylor expansion of x in y 12.613 * [backup-simplify]: Simplify x into x 12.613 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.613 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.613 * [taylor]: Taking taylor expansion of y in y 12.613 * [backup-simplify]: Simplify 0 into 0 12.613 * [backup-simplify]: Simplify 1 into 1 12.614 * [backup-simplify]: Simplify (/ 1 1) into 1 12.614 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.614 * [taylor]: Taking taylor expansion of x in y 12.614 * [backup-simplify]: Simplify x into x 12.614 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.614 * [backup-simplify]: Simplify (+ 1 0) into 1 12.615 * [backup-simplify]: Simplify (* x 1) into x 12.615 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.615 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.615 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.615 * [taylor]: Taking taylor expansion of x in x 12.615 * [backup-simplify]: Simplify 0 into 0 12.615 * [backup-simplify]: Simplify 1 into 1 12.615 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.615 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.615 * [taylor]: Taking taylor expansion of y in x 12.615 * [backup-simplify]: Simplify y into y 12.615 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.615 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.615 * [taylor]: Taking taylor expansion of x in x 12.615 * [backup-simplify]: Simplify 0 into 0 12.615 * [backup-simplify]: Simplify 1 into 1 12.615 * [backup-simplify]: Simplify (/ 1 1) into 1 12.616 * [backup-simplify]: Simplify (+ 0 1) into 1 12.616 * [backup-simplify]: Simplify (* 0 1) into 0 12.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.617 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.618 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.618 * [backup-simplify]: Simplify (/ 1 1) into 1 12.618 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.618 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.618 * [taylor]: Taking taylor expansion of x in x 12.618 * [backup-simplify]: Simplify 0 into 0 12.618 * [backup-simplify]: Simplify 1 into 1 12.618 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.618 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.618 * [taylor]: Taking taylor expansion of y in x 12.618 * [backup-simplify]: Simplify y into y 12.618 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.618 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.618 * [taylor]: Taking taylor expansion of x in x 12.618 * [backup-simplify]: Simplify 0 into 0 12.618 * [backup-simplify]: Simplify 1 into 1 12.619 * [backup-simplify]: Simplify (/ 1 1) into 1 12.619 * [backup-simplify]: Simplify (+ 0 1) into 1 12.620 * [backup-simplify]: Simplify (* 0 1) into 0 12.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.620 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.621 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.621 * [backup-simplify]: Simplify (/ 1 1) into 1 12.621 * [taylor]: Taking taylor expansion of 1 in y 12.621 * [backup-simplify]: Simplify 1 into 1 12.621 * [backup-simplify]: Simplify 0 into 0 12.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.623 * [backup-simplify]: Simplify (+ 0 0) into 0 12.624 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.624 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 12.624 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.624 * [taylor]: Taking taylor expansion of y in y 12.624 * [backup-simplify]: Simplify 0 into 0 12.624 * [backup-simplify]: Simplify 1 into 1 12.624 * [backup-simplify]: Simplify (/ 1 1) into 1 12.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.626 * [backup-simplify]: Simplify (- 0) into 0 12.626 * [backup-simplify]: Simplify 0 into 0 12.626 * [backup-simplify]: Simplify 0 into 0 12.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.628 * [backup-simplify]: Simplify (+ 0 0) into 0 12.629 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.630 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.630 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.630 * [taylor]: Taking taylor expansion of y in y 12.630 * [backup-simplify]: Simplify 0 into 0 12.630 * [backup-simplify]: Simplify 1 into 1 12.631 * [backup-simplify]: Simplify (* 1 1) into 1 12.631 * [backup-simplify]: Simplify (/ 1 1) into 1 12.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.636 * [backup-simplify]: Simplify 0 into 0 12.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.638 * [backup-simplify]: Simplify (- 0) into 0 12.638 * [backup-simplify]: Simplify 0 into 0 12.638 * [backup-simplify]: Simplify 0 into 0 12.638 * [backup-simplify]: Simplify 0 into 0 12.638 * [backup-simplify]: Simplify (* (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))) (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 12.638 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 12.638 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.638 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.639 * [taylor]: Taking taylor expansion of x in y 12.639 * [backup-simplify]: Simplify x into x 12.639 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.639 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.639 * [taylor]: Taking taylor expansion of y in y 12.639 * [backup-simplify]: Simplify 0 into 0 12.639 * [backup-simplify]: Simplify 1 into 1 12.639 * [backup-simplify]: Simplify (/ 1 1) into 1 12.639 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.639 * [taylor]: Taking taylor expansion of x in y 12.639 * [backup-simplify]: Simplify x into x 12.639 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.640 * [backup-simplify]: Simplify (+ 1 0) into 1 12.640 * [backup-simplify]: Simplify (* x 1) into x 12.640 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.640 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.640 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.640 * [taylor]: Taking taylor expansion of x in x 12.640 * [backup-simplify]: Simplify 0 into 0 12.640 * [backup-simplify]: Simplify 1 into 1 12.640 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.640 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.640 * [taylor]: Taking taylor expansion of y in x 12.640 * [backup-simplify]: Simplify y into y 12.640 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.640 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.640 * [taylor]: Taking taylor expansion of x in x 12.640 * [backup-simplify]: Simplify 0 into 0 12.640 * [backup-simplify]: Simplify 1 into 1 12.641 * [backup-simplify]: Simplify (/ 1 1) into 1 12.641 * [backup-simplify]: Simplify (+ 0 1) into 1 12.642 * [backup-simplify]: Simplify (* 0 1) into 0 12.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.642 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.643 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.643 * [backup-simplify]: Simplify (/ 1 1) into 1 12.643 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.643 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.643 * [taylor]: Taking taylor expansion of x in x 12.643 * [backup-simplify]: Simplify 0 into 0 12.643 * [backup-simplify]: Simplify 1 into 1 12.643 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.643 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.643 * [taylor]: Taking taylor expansion of y in x 12.643 * [backup-simplify]: Simplify y into y 12.643 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.643 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.644 * [taylor]: Taking taylor expansion of x in x 12.644 * [backup-simplify]: Simplify 0 into 0 12.644 * [backup-simplify]: Simplify 1 into 1 12.644 * [backup-simplify]: Simplify (/ 1 1) into 1 12.644 * [backup-simplify]: Simplify (+ 0 1) into 1 12.644 * [backup-simplify]: Simplify (* 0 1) into 0 12.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.645 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.645 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.645 * [backup-simplify]: Simplify (/ 1 1) into 1 12.645 * [taylor]: Taking taylor expansion of 1 in y 12.646 * [backup-simplify]: Simplify 1 into 1 12.646 * [backup-simplify]: Simplify 0 into 0 12.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.646 * [backup-simplify]: Simplify (+ 0 0) into 0 12.647 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.647 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 12.647 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.647 * [taylor]: Taking taylor expansion of y in y 12.647 * [backup-simplify]: Simplify 0 into 0 12.647 * [backup-simplify]: Simplify 1 into 1 12.647 * [backup-simplify]: Simplify (/ 1 1) into 1 12.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.649 * [backup-simplify]: Simplify (- 0) into 0 12.649 * [backup-simplify]: Simplify 0 into 0 12.649 * [backup-simplify]: Simplify 0 into 0 12.649 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.650 * [backup-simplify]: Simplify (+ 0 0) into 0 12.650 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.651 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.651 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.651 * [taylor]: Taking taylor expansion of y in y 12.651 * [backup-simplify]: Simplify 0 into 0 12.651 * [backup-simplify]: Simplify 1 into 1 12.651 * [backup-simplify]: Simplify (* 1 1) into 1 12.651 * [backup-simplify]: Simplify (/ 1 1) into 1 12.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.659 * [backup-simplify]: Simplify 0 into 0 12.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.659 * [backup-simplify]: Simplify (- 0) into 0 12.660 * [backup-simplify]: Simplify 0 into 0 12.660 * [backup-simplify]: Simplify 0 into 0 12.660 * [backup-simplify]: Simplify 0 into 0 12.660 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 12.660 * [backup-simplify]: Simplify (/ x (+ y x)) into (/ x (+ x y)) 12.660 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 12.660 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 12.660 * [taylor]: Taking taylor expansion of x in y 12.660 * [backup-simplify]: Simplify x into x 12.660 * [taylor]: Taking taylor expansion of (+ x y) in y 12.660 * [taylor]: Taking taylor expansion of x in y 12.660 * [backup-simplify]: Simplify x into x 12.660 * [taylor]: Taking taylor expansion of y in y 12.660 * [backup-simplify]: Simplify 0 into 0 12.660 * [backup-simplify]: Simplify 1 into 1 12.660 * [backup-simplify]: Simplify (+ x 0) into x 12.660 * [backup-simplify]: Simplify (/ x x) into 1 12.660 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.660 * [taylor]: Taking taylor expansion of x in x 12.660 * [backup-simplify]: Simplify 0 into 0 12.660 * [backup-simplify]: Simplify 1 into 1 12.660 * [taylor]: Taking taylor expansion of (+ x y) in x 12.660 * [taylor]: Taking taylor expansion of x in x 12.660 * [backup-simplify]: Simplify 0 into 0 12.660 * [backup-simplify]: Simplify 1 into 1 12.660 * [taylor]: Taking taylor expansion of y in x 12.660 * [backup-simplify]: Simplify y into y 12.660 * [backup-simplify]: Simplify (+ 0 y) into y 12.660 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.660 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.660 * [taylor]: Taking taylor expansion of x in x 12.660 * [backup-simplify]: Simplify 0 into 0 12.660 * [backup-simplify]: Simplify 1 into 1 12.660 * [taylor]: Taking taylor expansion of (+ x y) in x 12.660 * [taylor]: Taking taylor expansion of x in x 12.660 * [backup-simplify]: Simplify 0 into 0 12.660 * [backup-simplify]: Simplify 1 into 1 12.660 * [taylor]: Taking taylor expansion of y in x 12.660 * [backup-simplify]: Simplify y into y 12.660 * [backup-simplify]: Simplify (+ 0 y) into y 12.660 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.660 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.661 * [taylor]: Taking taylor expansion of y in y 12.661 * [backup-simplify]: Simplify 0 into 0 12.661 * [backup-simplify]: Simplify 1 into 1 12.661 * [backup-simplify]: Simplify (/ 1 1) into 1 12.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.661 * [backup-simplify]: Simplify 0 into 0 12.662 * [backup-simplify]: Simplify (+ 1 0) into 1 12.662 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 12.662 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 12.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.662 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.662 * [taylor]: Taking taylor expansion of y in y 12.662 * [backup-simplify]: Simplify 0 into 0 12.662 * [backup-simplify]: Simplify 1 into 1 12.662 * [backup-simplify]: Simplify (* 1 1) into 1 12.662 * [backup-simplify]: Simplify (/ 1 1) into 1 12.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.664 * [backup-simplify]: Simplify (- 0) into 0 12.664 * [backup-simplify]: Simplify 0 into 0 12.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.665 * [backup-simplify]: Simplify 0 into 0 12.665 * [backup-simplify]: Simplify (+ 0 0) into 0 12.665 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 12.665 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 12.665 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.665 * [taylor]: Taking taylor expansion of y in y 12.665 * [backup-simplify]: Simplify 0 into 0 12.665 * [backup-simplify]: Simplify 1 into 1 12.666 * [backup-simplify]: Simplify (* 1 1) into 1 12.666 * [backup-simplify]: Simplify (* 1 1) into 1 12.666 * [backup-simplify]: Simplify (/ 1 1) into 1 12.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.671 * [backup-simplify]: Simplify 0 into 0 12.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.672 * [backup-simplify]: Simplify (- 0) into 0 12.672 * [backup-simplify]: Simplify 0 into 0 12.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.673 * [backup-simplify]: Simplify 0 into 0 12.673 * [backup-simplify]: Simplify 0 into 0 12.673 * [backup-simplify]: Simplify (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 12.673 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 12.673 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.673 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.673 * [taylor]: Taking taylor expansion of x in y 12.673 * [backup-simplify]: Simplify x into x 12.673 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.673 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.673 * [taylor]: Taking taylor expansion of y in y 12.673 * [backup-simplify]: Simplify 0 into 0 12.673 * [backup-simplify]: Simplify 1 into 1 12.673 * [backup-simplify]: Simplify (/ 1 1) into 1 12.673 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.673 * [taylor]: Taking taylor expansion of x in y 12.674 * [backup-simplify]: Simplify x into x 12.674 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.674 * [backup-simplify]: Simplify (+ 1 0) into 1 12.674 * [backup-simplify]: Simplify (* x 1) into x 12.674 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.674 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.674 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.674 * [taylor]: Taking taylor expansion of x in x 12.674 * [backup-simplify]: Simplify 0 into 0 12.674 * [backup-simplify]: Simplify 1 into 1 12.674 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.674 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.674 * [taylor]: Taking taylor expansion of y in x 12.674 * [backup-simplify]: Simplify y into y 12.674 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.674 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.674 * [taylor]: Taking taylor expansion of x in x 12.674 * [backup-simplify]: Simplify 0 into 0 12.674 * [backup-simplify]: Simplify 1 into 1 12.674 * [backup-simplify]: Simplify (/ 1 1) into 1 12.675 * [backup-simplify]: Simplify (+ 0 1) into 1 12.675 * [backup-simplify]: Simplify (* 0 1) into 0 12.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.675 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.676 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.676 * [backup-simplify]: Simplify (/ 1 1) into 1 12.676 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.676 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.676 * [taylor]: Taking taylor expansion of x in x 12.676 * [backup-simplify]: Simplify 0 into 0 12.676 * [backup-simplify]: Simplify 1 into 1 12.676 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.676 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.676 * [taylor]: Taking taylor expansion of y in x 12.676 * [backup-simplify]: Simplify y into y 12.676 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.676 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.676 * [taylor]: Taking taylor expansion of x in x 12.676 * [backup-simplify]: Simplify 0 into 0 12.676 * [backup-simplify]: Simplify 1 into 1 12.676 * [backup-simplify]: Simplify (/ 1 1) into 1 12.677 * [backup-simplify]: Simplify (+ 0 1) into 1 12.677 * [backup-simplify]: Simplify (* 0 1) into 0 12.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.677 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.678 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.678 * [backup-simplify]: Simplify (/ 1 1) into 1 12.678 * [taylor]: Taking taylor expansion of 1 in y 12.678 * [backup-simplify]: Simplify 1 into 1 12.678 * [backup-simplify]: Simplify 0 into 0 12.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.679 * [backup-simplify]: Simplify (+ 0 0) into 0 12.680 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.680 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 12.680 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.680 * [taylor]: Taking taylor expansion of y in y 12.680 * [backup-simplify]: Simplify 0 into 0 12.680 * [backup-simplify]: Simplify 1 into 1 12.680 * [backup-simplify]: Simplify (/ 1 1) into 1 12.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.682 * [backup-simplify]: Simplify (- 0) into 0 12.682 * [backup-simplify]: Simplify 0 into 0 12.682 * [backup-simplify]: Simplify 0 into 0 12.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.684 * [backup-simplify]: Simplify (+ 0 0) into 0 12.685 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.686 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.686 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.686 * [taylor]: Taking taylor expansion of y in y 12.686 * [backup-simplify]: Simplify 0 into 0 12.686 * [backup-simplify]: Simplify 1 into 1 12.686 * [backup-simplify]: Simplify (* 1 1) into 1 12.687 * [backup-simplify]: Simplify (/ 1 1) into 1 12.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.692 * [backup-simplify]: Simplify 0 into 0 12.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.693 * [backup-simplify]: Simplify (- 0) into 0 12.693 * [backup-simplify]: Simplify 0 into 0 12.693 * [backup-simplify]: Simplify 0 into 0 12.693 * [backup-simplify]: Simplify 0 into 0 12.693 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 12.693 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 12.693 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.693 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.694 * [taylor]: Taking taylor expansion of x in y 12.694 * [backup-simplify]: Simplify x into x 12.694 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.694 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.694 * [taylor]: Taking taylor expansion of y in y 12.694 * [backup-simplify]: Simplify 0 into 0 12.694 * [backup-simplify]: Simplify 1 into 1 12.694 * [backup-simplify]: Simplify (/ 1 1) into 1 12.694 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.694 * [taylor]: Taking taylor expansion of x in y 12.694 * [backup-simplify]: Simplify x into x 12.694 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.695 * [backup-simplify]: Simplify (+ 1 0) into 1 12.695 * [backup-simplify]: Simplify (* x 1) into x 12.695 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.695 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.695 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.695 * [taylor]: Taking taylor expansion of x in x 12.695 * [backup-simplify]: Simplify 0 into 0 12.695 * [backup-simplify]: Simplify 1 into 1 12.695 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.695 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.695 * [taylor]: Taking taylor expansion of y in x 12.695 * [backup-simplify]: Simplify y into y 12.695 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.695 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.695 * [taylor]: Taking taylor expansion of x in x 12.695 * [backup-simplify]: Simplify 0 into 0 12.695 * [backup-simplify]: Simplify 1 into 1 12.696 * [backup-simplify]: Simplify (/ 1 1) into 1 12.697 * [backup-simplify]: Simplify (+ 0 1) into 1 12.697 * [backup-simplify]: Simplify (* 0 1) into 0 12.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.698 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.699 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.699 * [backup-simplify]: Simplify (/ 1 1) into 1 12.699 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.699 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.699 * [taylor]: Taking taylor expansion of x in x 12.699 * [backup-simplify]: Simplify 0 into 0 12.699 * [backup-simplify]: Simplify 1 into 1 12.699 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.699 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.699 * [taylor]: Taking taylor expansion of y in x 12.699 * [backup-simplify]: Simplify y into y 12.699 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.699 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.699 * [taylor]: Taking taylor expansion of x in x 12.700 * [backup-simplify]: Simplify 0 into 0 12.700 * [backup-simplify]: Simplify 1 into 1 12.700 * [backup-simplify]: Simplify (/ 1 1) into 1 12.700 * [backup-simplify]: Simplify (+ 0 1) into 1 12.701 * [backup-simplify]: Simplify (* 0 1) into 0 12.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.702 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.702 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.703 * [backup-simplify]: Simplify (/ 1 1) into 1 12.703 * [taylor]: Taking taylor expansion of 1 in y 12.703 * [backup-simplify]: Simplify 1 into 1 12.703 * [backup-simplify]: Simplify 0 into 0 12.703 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.704 * [backup-simplify]: Simplify (+ 0 0) into 0 12.705 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.705 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 12.705 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.705 * [taylor]: Taking taylor expansion of y in y 12.705 * [backup-simplify]: Simplify 0 into 0 12.705 * [backup-simplify]: Simplify 1 into 1 12.706 * [backup-simplify]: Simplify (/ 1 1) into 1 12.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.708 * [backup-simplify]: Simplify (- 0) into 0 12.708 * [backup-simplify]: Simplify 0 into 0 12.708 * [backup-simplify]: Simplify 0 into 0 12.708 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.710 * [backup-simplify]: Simplify (+ 0 0) into 0 12.711 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.712 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.712 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.712 * [taylor]: Taking taylor expansion of y in y 12.712 * [backup-simplify]: Simplify 0 into 0 12.712 * [backup-simplify]: Simplify 1 into 1 12.712 * [backup-simplify]: Simplify (* 1 1) into 1 12.712 * [backup-simplify]: Simplify (/ 1 1) into 1 12.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.718 * [backup-simplify]: Simplify 0 into 0 12.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.719 * [backup-simplify]: Simplify (- 0) into 0 12.719 * [backup-simplify]: Simplify 0 into 0 12.719 * [backup-simplify]: Simplify 0 into 0 12.719 * [backup-simplify]: Simplify 0 into 0 12.719 * * * [progress]: simplifying candidates 12.726 * [simplify]: Simplifying: (log (sqrt (/ x (+ y x)))) (exp (sqrt (/ x (+ y x)))) (* (cbrt (sqrt (/ x (+ y x)))) (cbrt (sqrt (/ x (+ y x))))) (cbrt (sqrt (/ x (+ y x)))) (* (* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x)))) (sqrt (/ x (+ y x)))) (sqrt (* (cbrt (/ x (+ y 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(+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (/ 1 1) (/ x (+ y x)) (/ 1 1) (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) (/ x 1) (/ x 1) (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 1 1 0 1 1 0 0 0 0 0 0 12.734 * * [simplify]: Extracting # 0 : cost 0 12.734 * * [simplify]: Extracting # 1 : cost 0 12.735 * * [simplify]: Extracting # 2 : cost 0 12.735 * * [simplify]: Extracting # 3 : cost 0 12.736 * * [simplify]: Extracting # 4 : cost 0 12.736 * * [simplify]: Extracting # 5 : cost 0 12.737 * * [simplify]: Extracting # 6 : cost 0 12.737 * * [simplify]: Extracting # 7 : cost 0 12.738 * * [simplify]: Extracting # 8 : cost 0 12.738 * * [simplify]: iteration 0 : 177 enodes (cost 3139 ) 12.819 * * [simplify]: Extracting # 0 : cost 0 12.820 * * [simplify]: Extracting # 1 : cost 0 12.820 * * [simplify]: Extracting # 2 : cost 0 12.820 * * [simplify]: Extracting # 3 : cost 0 12.821 * * [simplify]: iteration 1 : 289 enodes (cost 2203 ) 12.946 * * [simplify]: Extracting # 0 : cost 0 12.947 * * [simplify]: Extracting # 1 : cost 0 12.950 * * [simplify]: Extracting # 2 : cost 0 12.952 * * [simplify]: Extracting # 3 : cost 0 12.954 * * [simplify]: Extracting # 4 : cost 0 12.956 * * [simplify]: iteration 2 : 888 enodes (cost 2081 ) 13.631 * * [simplify]: Extracting # 0 : cost 0 13.634 * * [simplify]: Extracting # 1 : cost 0 13.637 * * [simplify]: Extracting # 2 : cost 0 13.640 * * [simplify]: Extracting # 3 : cost 0 13.643 * * [simplify]: Extracting # 4 : cost 0 13.645 * * [simplify]: Extracting # 5 : cost 0 13.648 * * [simplify]: iteration 3 : 2221 enodes (cost 2042 ) 15.424 * * [simplify]: Extracting # 0 : cost 0 15.433 * * [simplify]: Extracting # 1 : cost 0 15.438 * * [simplify]: Extracting # 2 : cost 0 15.444 * * [simplify]: Extracting # 3 : cost 0 15.449 * * [simplify]: Extracting # 4 : cost 0 15.455 * * [simplify]: Extracting # 5 : cost 0 15.461 * * [simplify]: iteration done: 5000 enodes (cost 2014 ) 15.462 * [simplify]: Simplified to: (log (sqrt (/ x (+ y x)))) (exp (sqrt (/ x (+ y x)))) (* (cbrt (sqrt (/ x (+ y x)))) (cbrt (sqrt (/ x (+ y x))))) (cbrt (sqrt (/ x (+ y x)))) (pow (sqrt (/ x (+ y x))) 3) (fabs (cbrt (/ x (+ y x)))) (sqrt (cbrt (/ x (+ y x)))) (sqrt (sqrt (/ x (+ y x)))) (sqrt (sqrt (/ x (+ y x)))) (fabs (/ (cbrt x) (cbrt (+ y x)))) (sqrt (/ (cbrt x) (cbrt (+ y x)))) (sqrt (/ (* (cbrt x) (cbrt 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x)) (/ 1 (+ y x)) (/ (+ x y) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ x y))) x x (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ x y) 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 15.464 * * * [progress]: adding candidates to table 16.073 * [progress]: [Phase 3 of 3] Extracting. 16.073 * * [regime]: Finding splitpoints for: (# # # #) 16.073 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ y x)) y x) 16.073 * * * * [regimes]: Trying to branch on (/ x (+ y x)) from (# # # #) 16.097 * * * * [regimes]: Trying to branch on y from (# # # #) 16.124 * * * * [regimes]: Trying to branch on x from (# # # #) 16.152 * * * [regime]: Found split indices: #