25.388 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying: (/ x (+ y x)) 0.023 * * [simplify]: Extracting # 0 : cost 0 0.023 * * [simplify]: Extracting # 1 : cost 0 0.023 * * [simplify]: Extracting # 2 : cost 0 0.023 * * [simplify]: Extracting # 3 : cost 0 0.023 * * [simplify]: Extracting # 4 : cost 0 0.023 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.024 * * [simplify]: Extracting # 0 : cost 0 0.024 * * [simplify]: iteration 1 : 5 enodes (cost 5 ) 0.026 * * [simplify]: Extracting # 0 : cost 0 0.026 * * [simplify]: iteration done: 5 enodes (cost 5 ) 0.026 * [simplify]: Simplified to: (/ x (+ y x)) 0.026 * * [progress]: iteration 1 / 4 0.026 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.039 * * * [progress]: generating rewritten candidates 0.039 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.061 * * * [progress]: generating series expansions 0.061 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.061 * [backup-simplify]: Simplify (/ x (+ y x)) into (/ x (+ x y)) 0.061 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.061 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.061 * [taylor]: Taking taylor expansion of x in y 0.061 * [backup-simplify]: Simplify x into x 0.061 * [taylor]: Taking taylor expansion of (+ x y) in y 0.061 * [taylor]: Taking taylor expansion of x in y 0.061 * [backup-simplify]: Simplify x into x 0.061 * [taylor]: Taking taylor expansion of y in y 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [backup-simplify]: Simplify (+ x 0) into x 0.061 * [backup-simplify]: Simplify (/ x x) into 1 0.061 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [taylor]: Taking taylor expansion of (+ x y) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.062 * [taylor]: Taking taylor expansion of y in x 0.062 * [backup-simplify]: Simplify y into y 0.062 * [backup-simplify]: Simplify (+ 0 y) into y 0.062 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.062 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.062 * [taylor]: Taking taylor expansion of (+ x y) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.062 * [taylor]: Taking taylor expansion of y in x 0.062 * [backup-simplify]: Simplify y into y 0.062 * [backup-simplify]: Simplify (+ 0 y) into y 0.062 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.062 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.063 * [backup-simplify]: Simplify (/ 1 1) into 1 0.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify (+ 1 0) into 1 0.064 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.064 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [backup-simplify]: Simplify (* 1 1) into 1 0.065 * [backup-simplify]: Simplify (/ 1 1) into 1 0.066 * [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 0.069 * [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 0.070 * [backup-simplify]: Simplify (+ 0 0) into 0 0.070 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.070 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (* 1 1) into 1 0.071 * [backup-simplify]: Simplify (* 1 1) into 1 0.071 * [backup-simplify]: Simplify (/ 1 1) into 1 0.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.080 * [backup-simplify]: Simplify (- 0) into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.081 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.081 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.081 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.081 * [taylor]: Taking taylor expansion of x in y 0.082 * [backup-simplify]: Simplify x into x 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (/ 1 1) into 1 0.082 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.082 * [taylor]: Taking taylor expansion of x in y 0.082 * [backup-simplify]: Simplify x into x 0.082 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.083 * [backup-simplify]: Simplify (+ 1 0) into 1 0.083 * [backup-simplify]: Simplify (* x 1) into x 0.083 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.083 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.083 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.083 * [taylor]: Taking taylor expansion of y in x 0.083 * [backup-simplify]: Simplify y into y 0.083 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.083 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (/ 1 1) into 1 0.084 * [backup-simplify]: Simplify (+ 0 1) into 1 0.084 * [backup-simplify]: Simplify (* 0 1) into 0 0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.085 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.085 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.086 * [backup-simplify]: Simplify (/ 1 1) into 1 0.086 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.086 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [backup-simplify]: Simplify y into y 0.086 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.086 * [taylor]: Taking taylor expansion of x in x 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 (+ 0 1) into 1 0.087 * [backup-simplify]: Simplify (* 0 1) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.088 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.089 * [backup-simplify]: Simplify (/ 1 1) into 1 0.089 * [taylor]: Taking taylor expansion of 1 in y 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.091 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (/ 1 1) into 1 0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (- 0) into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.097 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.097 * [taylor]: Taking taylor expansion of y in y 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (* 1 1) into 1 0.097 * [backup-simplify]: Simplify (/ 1 1) into 1 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (- 0) into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.103 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.103 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.103 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.103 * [taylor]: Taking taylor expansion of x in y 0.103 * [backup-simplify]: Simplify x into x 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (/ 1 1) into 1 0.104 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.104 * [taylor]: Taking taylor expansion of x in y 0.104 * [backup-simplify]: Simplify x into x 0.104 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.105 * [backup-simplify]: Simplify (+ 1 0) into 1 0.105 * [backup-simplify]: Simplify (* x 1) into x 0.105 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.105 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.105 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.105 * [taylor]: Taking taylor expansion of y in x 0.105 * [backup-simplify]: Simplify y into y 0.105 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify (/ 1 1) into 1 0.106 * [backup-simplify]: Simplify (+ 0 1) into 1 0.106 * [backup-simplify]: Simplify (* 0 1) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.108 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.108 * [backup-simplify]: Simplify (/ 1 1) into 1 0.108 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.108 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [backup-simplify]: Simplify y into y 0.108 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (/ 1 1) into 1 0.109 * [backup-simplify]: Simplify (+ 0 1) into 1 0.110 * [backup-simplify]: Simplify (* 0 1) into 0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.111 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.111 * [backup-simplify]: Simplify (/ 1 1) into 1 0.111 * [taylor]: Taking taylor expansion of 1 in y 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.113 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.113 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (/ 1 1) into 1 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (- 0) into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.119 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.119 * [taylor]: Taking taylor expansion of y in y 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (* 1 1) into 1 0.120 * [backup-simplify]: Simplify (/ 1 1) into 1 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (- 0) into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * * * [progress]: simplifying candidates 0.127 * [simplify]: Simplifying: (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (- (log x) (log (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (/ (* (* x x) x) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x))) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (/ 1 1) (/ x (+ y x)) (/ 1 1) (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) (/ x 1) (/ x 1) (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0.128 * * [simplify]: Extracting # 0 : cost 0 0.128 * * [simplify]: Extracting # 1 : cost 0 0.128 * * [simplify]: Extracting # 2 : cost 0 0.128 * * [simplify]: Extracting # 3 : cost 0 0.128 * * [simplify]: Extracting # 4 : cost 0 0.128 * * [simplify]: Extracting # 5 : cost 0 0.128 * * [simplify]: Extracting # 6 : cost 0 0.128 * * [simplify]: Extracting # 7 : cost 0 0.129 * * [simplify]: iteration 0 : 61 enodes (cost 336 ) 0.145 * * [simplify]: Extracting # 0 : cost 0 0.145 * * [simplify]: Extracting # 1 : cost 0 0.145 * * [simplify]: Extracting # 2 : cost 0 0.145 * * [simplify]: Extracting # 3 : cost 0 0.145 * * [simplify]: iteration 1 : 122 enodes (cost 317 ) 0.197 * * [simplify]: Extracting # 0 : cost 0 0.197 * * [simplify]: Extracting # 1 : cost 0 0.197 * * [simplify]: Extracting # 2 : cost 0 0.197 * * [simplify]: Extracting # 3 : cost 0 0.198 * * [simplify]: Extracting # 4 : cost 0 0.198 * * [simplify]: iteration 2 : 286 enodes (cost 299 ) 0.291 * * [simplify]: Extracting # 0 : cost 0 0.291 * * [simplify]: Extracting # 1 : cost 0 0.292 * * [simplify]: Extracting # 2 : cost 0 0.292 * * [simplify]: Extracting # 3 : cost 0 0.293 * * [simplify]: iteration 3 : 587 enodes (cost 299 ) 0.610 * * [simplify]: Extracting # 0 : cost 0 0.612 * * [simplify]: Extracting # 1 : cost 0 0.613 * * [simplify]: Extracting # 2 : cost 0 0.614 * * [simplify]: Extracting # 3 : cost 0 0.616 * * [simplify]: Extracting # 4 : cost 0 0.617 * * [simplify]: iteration 4 : 1573 enodes (cost 299 ) 3.401 * * [simplify]: Extracting # 0 : cost 0 3.413 * * [simplify]: Extracting # 1 : cost 0 3.419 * * [simplify]: Extracting # 2 : cost 0 3.424 * * [simplify]: Extracting # 3 : cost 0 3.428 * * [simplify]: Extracting # 4 : cost 0 3.433 * * [simplify]: iteration done: 5001 enodes (cost 299 ) 3.434 * [simplify]: Simplified to: (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (pow (/ x (+ y x)) 3) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (pow (/ x (+ y x)) 3) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (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)) (/ (+ x y) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) 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 0 0 3.434 * * * [progress]: adding candidates to table 3.529 * * [progress]: iteration 2 / 4 3.529 * * * [progress]: picking best candidate 3.536 * * * * [pick]: Picked # 3.536 * * * [progress]: localizing error 3.547 * * * [progress]: generating rewritten candidates 3.547 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.603 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 3.633 * * * [progress]: generating series expansions 3.633 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.634 * [backup-simplify]: Simplify (* x (/ 1 (+ y x))) into (/ x (+ x y)) 3.634 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 3.634 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 3.634 * [taylor]: Taking taylor expansion of x in y 3.634 * [backup-simplify]: Simplify x into x 3.634 * [taylor]: Taking taylor expansion of (+ x y) in y 3.634 * [taylor]: Taking taylor expansion of x in y 3.634 * [backup-simplify]: Simplify x into x 3.634 * [taylor]: Taking taylor expansion of y in y 3.634 * [backup-simplify]: Simplify 0 into 0 3.634 * [backup-simplify]: Simplify 1 into 1 3.634 * [backup-simplify]: Simplify (+ x 0) into x 3.634 * [backup-simplify]: Simplify (/ x x) into 1 3.634 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 3.634 * [taylor]: Taking taylor expansion of x in x 3.634 * [backup-simplify]: Simplify 0 into 0 3.634 * [backup-simplify]: Simplify 1 into 1 3.634 * [taylor]: Taking taylor expansion of (+ x y) in x 3.634 * [taylor]: Taking taylor expansion of x in x 3.634 * [backup-simplify]: Simplify 0 into 0 3.634 * [backup-simplify]: Simplify 1 into 1 3.634 * [taylor]: Taking taylor expansion of y in x 3.634 * [backup-simplify]: Simplify y into y 3.634 * [backup-simplify]: Simplify (+ 0 y) into y 3.635 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.635 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 3.635 * [taylor]: Taking taylor expansion of x in x 3.635 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify 1 into 1 3.635 * [taylor]: Taking taylor expansion of (+ x y) in x 3.635 * [taylor]: Taking taylor expansion of x in x 3.635 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify 1 into 1 3.635 * [taylor]: Taking taylor expansion of y in x 3.635 * [backup-simplify]: Simplify y into y 3.635 * [backup-simplify]: Simplify (+ 0 y) into y 3.635 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.635 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.635 * [taylor]: Taking taylor expansion of y in y 3.635 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify 1 into 1 3.636 * [backup-simplify]: Simplify (/ 1 1) into 1 3.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.637 * [backup-simplify]: Simplify 0 into 0 3.637 * [backup-simplify]: Simplify (+ 1 0) into 1 3.637 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 3.637 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 3.637 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.637 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.637 * [taylor]: Taking taylor expansion of y in y 3.637 * [backup-simplify]: Simplify 0 into 0 3.637 * [backup-simplify]: Simplify 1 into 1 3.638 * [backup-simplify]: Simplify (* 1 1) into 1 3.638 * [backup-simplify]: Simplify (/ 1 1) into 1 3.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.642 * [backup-simplify]: Simplify (- 0) into 0 3.642 * [backup-simplify]: Simplify 0 into 0 3.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.643 * [backup-simplify]: Simplify 0 into 0 3.643 * [backup-simplify]: Simplify (+ 0 0) into 0 3.644 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 3.644 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 3.644 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.644 * [taylor]: Taking taylor expansion of y in y 3.644 * [backup-simplify]: Simplify 0 into 0 3.644 * [backup-simplify]: Simplify 1 into 1 3.645 * [backup-simplify]: Simplify (* 1 1) into 1 3.645 * [backup-simplify]: Simplify (* 1 1) into 1 3.652 * [backup-simplify]: Simplify (/ 1 1) into 1 3.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.662 * [backup-simplify]: Simplify 0 into 0 3.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.664 * [backup-simplify]: Simplify (- 0) into 0 3.664 * [backup-simplify]: Simplify 0 into 0 3.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.665 * [backup-simplify]: Simplify 0 into 0 3.665 * [backup-simplify]: Simplify 0 into 0 3.665 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 (+ (/ 1 y) (/ 1 x)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3.665 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 3.665 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 3.666 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 3.666 * [taylor]: Taking taylor expansion of x in y 3.666 * [backup-simplify]: Simplify x into x 3.666 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.666 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.666 * [taylor]: Taking taylor expansion of y in y 3.666 * [backup-simplify]: Simplify 0 into 0 3.666 * [backup-simplify]: Simplify 1 into 1 3.666 * [backup-simplify]: Simplify (/ 1 1) into 1 3.666 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.666 * [taylor]: Taking taylor expansion of x in y 3.666 * [backup-simplify]: Simplify x into x 3.666 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.667 * [backup-simplify]: Simplify (+ 1 0) into 1 3.667 * [backup-simplify]: Simplify (* x 1) into x 3.667 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.667 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 3.667 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 3.667 * [taylor]: Taking taylor expansion of x in x 3.667 * [backup-simplify]: Simplify 0 into 0 3.667 * [backup-simplify]: Simplify 1 into 1 3.667 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.667 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.667 * [taylor]: Taking taylor expansion of y in x 3.667 * [backup-simplify]: Simplify y into y 3.667 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.667 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.667 * [taylor]: Taking taylor expansion of x in x 3.667 * [backup-simplify]: Simplify 0 into 0 3.667 * [backup-simplify]: Simplify 1 into 1 3.668 * [backup-simplify]: Simplify (/ 1 1) into 1 3.668 * [backup-simplify]: Simplify (+ 0 1) into 1 3.668 * [backup-simplify]: Simplify (* 0 1) into 0 3.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.669 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.670 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 3.670 * [backup-simplify]: Simplify (/ 1 1) into 1 3.670 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 3.670 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 3.670 * [taylor]: Taking taylor expansion of x in x 3.670 * [backup-simplify]: Simplify 0 into 0 3.670 * [backup-simplify]: Simplify 1 into 1 3.670 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.670 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.670 * [taylor]: Taking taylor expansion of y in x 3.670 * [backup-simplify]: Simplify y into y 3.670 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.670 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.670 * [taylor]: Taking taylor expansion of x in x 3.670 * [backup-simplify]: Simplify 0 into 0 3.671 * [backup-simplify]: Simplify 1 into 1 3.671 * [backup-simplify]: Simplify (/ 1 1) into 1 3.671 * [backup-simplify]: Simplify (+ 0 1) into 1 3.672 * [backup-simplify]: Simplify (* 0 1) into 0 3.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.673 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.673 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 3.673 * [backup-simplify]: Simplify (/ 1 1) into 1 3.673 * [taylor]: Taking taylor expansion of 1 in y 3.674 * [backup-simplify]: Simplify 1 into 1 3.674 * [backup-simplify]: Simplify 0 into 0 3.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.675 * [backup-simplify]: Simplify (+ 0 0) into 0 3.676 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 3.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 3.676 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 3.676 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.676 * [taylor]: Taking taylor expansion of y in y 3.676 * [backup-simplify]: Simplify 0 into 0 3.676 * [backup-simplify]: Simplify 1 into 1 3.677 * [backup-simplify]: Simplify (/ 1 1) into 1 3.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.679 * [backup-simplify]: Simplify (- 0) into 0 3.679 * [backup-simplify]: Simplify 0 into 0 3.679 * [backup-simplify]: Simplify 0 into 0 3.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.680 * [backup-simplify]: Simplify (+ 0 0) into 0 3.681 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 3.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 3.682 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.682 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.682 * [taylor]: Taking taylor expansion of y in y 3.682 * [backup-simplify]: Simplify 0 into 0 3.682 * [backup-simplify]: Simplify 1 into 1 3.683 * [backup-simplify]: Simplify (* 1 1) into 1 3.683 * [backup-simplify]: Simplify (/ 1 1) into 1 3.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.688 * [backup-simplify]: Simplify 0 into 0 3.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.690 * [backup-simplify]: Simplify (- 0) into 0 3.690 * [backup-simplify]: Simplify 0 into 0 3.690 * [backup-simplify]: Simplify 0 into 0 3.690 * [backup-simplify]: Simplify 0 into 0 3.690 * [backup-simplify]: Simplify (* (/ 1 (- x)) (/ 1 (+ (/ 1 (- y)) (/ 1 (- x))))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3.690 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 3.690 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 3.690 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 3.690 * [taylor]: Taking taylor expansion of x in y 3.690 * [backup-simplify]: Simplify x into x 3.690 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.690 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.690 * [taylor]: Taking taylor expansion of y in y 3.690 * [backup-simplify]: Simplify 0 into 0 3.690 * [backup-simplify]: Simplify 1 into 1 3.691 * [backup-simplify]: Simplify (/ 1 1) into 1 3.691 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.691 * [taylor]: Taking taylor expansion of x in y 3.691 * [backup-simplify]: Simplify x into x 3.691 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.691 * [backup-simplify]: Simplify (+ 1 0) into 1 3.691 * [backup-simplify]: Simplify (* x 1) into x 3.692 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.692 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 3.692 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 3.692 * [taylor]: Taking taylor expansion of x in x 3.692 * [backup-simplify]: Simplify 0 into 0 3.692 * [backup-simplify]: Simplify 1 into 1 3.692 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.692 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.692 * [taylor]: Taking taylor expansion of y in x 3.692 * [backup-simplify]: Simplify y into y 3.692 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.692 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.692 * [taylor]: Taking taylor expansion of x in x 3.692 * [backup-simplify]: Simplify 0 into 0 3.692 * [backup-simplify]: Simplify 1 into 1 3.692 * [backup-simplify]: Simplify (/ 1 1) into 1 3.693 * [backup-simplify]: Simplify (+ 0 1) into 1 3.693 * [backup-simplify]: Simplify (* 0 1) into 0 3.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.694 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.695 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 3.695 * [backup-simplify]: Simplify (/ 1 1) into 1 3.695 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 3.695 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 3.695 * [taylor]: Taking taylor expansion of x in x 3.696 * [backup-simplify]: Simplify 0 into 0 3.696 * [backup-simplify]: Simplify 1 into 1 3.696 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.696 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.696 * [taylor]: Taking taylor expansion of y in x 3.696 * [backup-simplify]: Simplify y into y 3.696 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.696 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.696 * [taylor]: Taking taylor expansion of x in x 3.696 * [backup-simplify]: Simplify 0 into 0 3.696 * [backup-simplify]: Simplify 1 into 1 3.696 * [backup-simplify]: Simplify (/ 1 1) into 1 3.697 * [backup-simplify]: Simplify (+ 0 1) into 1 3.697 * [backup-simplify]: Simplify (* 0 1) into 0 3.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.698 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.698 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 3.699 * [backup-simplify]: Simplify (/ 1 1) into 1 3.699 * [taylor]: Taking taylor expansion of 1 in y 3.699 * [backup-simplify]: Simplify 1 into 1 3.699 * [backup-simplify]: Simplify 0 into 0 3.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.701 * [backup-simplify]: Simplify (+ 0 0) into 0 3.701 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 3.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 3.702 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 3.702 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.702 * [taylor]: Taking taylor expansion of y in y 3.702 * [backup-simplify]: Simplify 0 into 0 3.702 * [backup-simplify]: Simplify 1 into 1 3.702 * [backup-simplify]: Simplify (/ 1 1) into 1 3.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.704 * [backup-simplify]: Simplify (- 0) into 0 3.704 * [backup-simplify]: Simplify 0 into 0 3.704 * [backup-simplify]: Simplify 0 into 0 3.705 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.706 * [backup-simplify]: Simplify (+ 0 0) into 0 3.708 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 3.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 3.708 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.708 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.709 * [taylor]: Taking taylor expansion of y in y 3.709 * [backup-simplify]: Simplify 0 into 0 3.709 * [backup-simplify]: Simplify 1 into 1 3.709 * [backup-simplify]: Simplify (* 1 1) into 1 3.709 * [backup-simplify]: Simplify (/ 1 1) into 1 3.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.715 * [backup-simplify]: Simplify 0 into 0 3.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.717 * [backup-simplify]: Simplify (- 0) into 0 3.717 * [backup-simplify]: Simplify 0 into 0 3.717 * [backup-simplify]: Simplify 0 into 0 3.717 * [backup-simplify]: Simplify 0 into 0 3.717 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 3.717 * [backup-simplify]: Simplify (/ 1 (+ y x)) into (/ 1 (+ x y)) 3.717 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (y x) around 0 3.717 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 3.717 * [taylor]: Taking taylor expansion of (+ x y) in x 3.717 * [taylor]: Taking taylor expansion of x in x 3.717 * [backup-simplify]: Simplify 0 into 0 3.717 * [backup-simplify]: Simplify 1 into 1 3.717 * [taylor]: Taking taylor expansion of y in x 3.717 * [backup-simplify]: Simplify y into y 3.717 * [backup-simplify]: Simplify (+ 0 y) into y 3.717 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.717 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 3.717 * [taylor]: Taking taylor expansion of (+ x y) in y 3.717 * [taylor]: Taking taylor expansion of x in y 3.717 * [backup-simplify]: Simplify x into x 3.717 * [taylor]: Taking taylor expansion of y in y 3.717 * [backup-simplify]: Simplify 0 into 0 3.718 * [backup-simplify]: Simplify 1 into 1 3.718 * [backup-simplify]: Simplify (+ x 0) into x 3.718 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.718 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 3.718 * [taylor]: Taking taylor expansion of (+ x y) in y 3.718 * [taylor]: Taking taylor expansion of x in y 3.718 * [backup-simplify]: Simplify x into x 3.718 * [taylor]: Taking taylor expansion of y in y 3.718 * [backup-simplify]: Simplify 0 into 0 3.718 * [backup-simplify]: Simplify 1 into 1 3.718 * [backup-simplify]: Simplify (+ x 0) into x 3.718 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.718 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.718 * [taylor]: Taking taylor expansion of x in x 3.718 * [backup-simplify]: Simplify 0 into 0 3.718 * [backup-simplify]: Simplify 1 into 1 3.719 * [backup-simplify]: Simplify (/ 1 1) into 1 3.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.719 * [backup-simplify]: Simplify 0 into 0 3.720 * [backup-simplify]: Simplify (+ 0 1) into 1 3.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 1 x)))) into (- (/ 1 (pow x 2))) 3.720 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 3.720 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.720 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.720 * [taylor]: Taking taylor expansion of x in x 3.720 * [backup-simplify]: Simplify 0 into 0 3.720 * [backup-simplify]: Simplify 1 into 1 3.720 * [backup-simplify]: Simplify (* 1 1) into 1 3.721 * [backup-simplify]: Simplify (/ 1 1) into 1 3.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.724 * [backup-simplify]: Simplify (- 0) into 0 3.724 * [backup-simplify]: Simplify 0 into 0 3.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.725 * [backup-simplify]: Simplify 0 into 0 3.726 * [backup-simplify]: Simplify (+ 0 0) into 0 3.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* (- (/ 1 (pow x 2))) (/ 1 x)))) into (/ 1 (pow x 3)) 3.726 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 3.726 * [taylor]: Taking taylor expansion of (pow x 3) in x 3.726 * [taylor]: Taking taylor expansion of x in x 3.727 * [backup-simplify]: Simplify 0 into 0 3.727 * [backup-simplify]: Simplify 1 into 1 3.727 * [backup-simplify]: Simplify (* 1 1) into 1 3.728 * [backup-simplify]: Simplify (* 1 1) into 1 3.728 * [backup-simplify]: Simplify (/ 1 1) into 1 3.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.737 * [backup-simplify]: Simplify 0 into 0 3.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.739 * [backup-simplify]: Simplify (- 0) into 0 3.739 * [backup-simplify]: Simplify 0 into 0 3.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.740 * [backup-simplify]: Simplify 0 into 0 3.740 * [backup-simplify]: Simplify 0 into 0 3.741 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 y) (/ 1 x))) into (/ 1 (+ (/ 1 y) (/ 1 x))) 3.741 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 3.741 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 3.741 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.741 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.741 * [taylor]: Taking taylor expansion of y in x 3.741 * [backup-simplify]: Simplify y into y 3.741 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.741 * [taylor]: Taking taylor expansion of x in x 3.741 * [backup-simplify]: Simplify 0 into 0 3.741 * [backup-simplify]: Simplify 1 into 1 3.742 * [backup-simplify]: Simplify (/ 1 1) into 1 3.742 * [backup-simplify]: Simplify (+ 0 1) into 1 3.743 * [backup-simplify]: Simplify (/ 1 1) into 1 3.743 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 3.743 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.743 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.743 * [taylor]: Taking taylor expansion of y in y 3.743 * [backup-simplify]: Simplify 0 into 0 3.743 * [backup-simplify]: Simplify 1 into 1 3.743 * [backup-simplify]: Simplify (/ 1 1) into 1 3.743 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.743 * [taylor]: Taking taylor expansion of x in y 3.744 * [backup-simplify]: Simplify x into x 3.744 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.744 * [backup-simplify]: Simplify (+ 1 0) into 1 3.744 * [backup-simplify]: Simplify (/ 1 1) into 1 3.744 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 3.745 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.745 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.745 * [taylor]: Taking taylor expansion of y in y 3.745 * [backup-simplify]: Simplify 0 into 0 3.745 * [backup-simplify]: Simplify 1 into 1 3.745 * [backup-simplify]: Simplify (/ 1 1) into 1 3.745 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.745 * [taylor]: Taking taylor expansion of x in y 3.745 * [backup-simplify]: Simplify x into x 3.745 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.746 * [backup-simplify]: Simplify (+ 1 0) into 1 3.746 * [backup-simplify]: Simplify (/ 1 1) into 1 3.746 * [taylor]: Taking taylor expansion of 1 in x 3.746 * [backup-simplify]: Simplify 1 into 1 3.746 * [backup-simplify]: Simplify 0 into 0 3.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.748 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 3.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 x) 1)))) into (- (/ 1 x)) 3.748 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 3.748 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.748 * [taylor]: Taking taylor expansion of x in x 3.748 * [backup-simplify]: Simplify 0 into 0 3.748 * [backup-simplify]: Simplify 1 into 1 3.749 * [backup-simplify]: Simplify (/ 1 1) into 1 3.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.751 * [backup-simplify]: Simplify (- 0) into 0 3.751 * [backup-simplify]: Simplify 0 into 0 3.751 * [backup-simplify]: Simplify 0 into 0 3.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 3.752 * [backup-simplify]: Simplify (+ 0 0) into 0 3.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 x)) (/ (/ 1 x) 1)))) into (/ 1 (pow x 2)) 3.753 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.753 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.753 * [taylor]: Taking taylor expansion of x in x 3.753 * [backup-simplify]: Simplify 0 into 0 3.753 * [backup-simplify]: Simplify 1 into 1 3.754 * [backup-simplify]: Simplify (* 1 1) into 1 3.754 * [backup-simplify]: Simplify (/ 1 1) into 1 3.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.759 * [backup-simplify]: Simplify 0 into 0 3.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.761 * [backup-simplify]: Simplify (- 0) into 0 3.761 * [backup-simplify]: Simplify 0 into 0 3.761 * [backup-simplify]: Simplify 0 into 0 3.761 * [backup-simplify]: Simplify 0 into 0 3.761 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (- y)) (/ 1 (- x)))) into (/ -1 (+ (/ 1 y) (/ 1 x))) 3.761 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 3.762 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 3.762 * [taylor]: Taking taylor expansion of -1 in x 3.762 * [backup-simplify]: Simplify -1 into -1 3.762 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.762 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.762 * [taylor]: Taking taylor expansion of y in x 3.762 * [backup-simplify]: Simplify y into y 3.762 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.762 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.762 * [taylor]: Taking taylor expansion of x in x 3.762 * [backup-simplify]: Simplify 0 into 0 3.762 * [backup-simplify]: Simplify 1 into 1 3.762 * [backup-simplify]: Simplify (/ 1 1) into 1 3.763 * [backup-simplify]: Simplify (+ 0 1) into 1 3.763 * [backup-simplify]: Simplify (/ -1 1) into -1 3.763 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 3.763 * [taylor]: Taking taylor expansion of -1 in y 3.763 * [backup-simplify]: Simplify -1 into -1 3.763 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.763 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.763 * [taylor]: Taking taylor expansion of y in y 3.763 * [backup-simplify]: Simplify 0 into 0 3.763 * [backup-simplify]: Simplify 1 into 1 3.764 * [backup-simplify]: Simplify (/ 1 1) into 1 3.764 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.764 * [taylor]: Taking taylor expansion of x in y 3.764 * [backup-simplify]: Simplify x into x 3.764 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.764 * [backup-simplify]: Simplify (+ 1 0) into 1 3.765 * [backup-simplify]: Simplify (/ -1 1) into -1 3.765 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 3.765 * [taylor]: Taking taylor expansion of -1 in y 3.765 * [backup-simplify]: Simplify -1 into -1 3.765 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.765 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.765 * [taylor]: Taking taylor expansion of y in y 3.765 * [backup-simplify]: Simplify 0 into 0 3.765 * [backup-simplify]: Simplify 1 into 1 3.766 * [backup-simplify]: Simplify (/ 1 1) into 1 3.766 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.766 * [taylor]: Taking taylor expansion of x in y 3.766 * [backup-simplify]: Simplify x into x 3.766 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.766 * [backup-simplify]: Simplify (+ 1 0) into 1 3.767 * [backup-simplify]: Simplify (/ -1 1) into -1 3.767 * [taylor]: Taking taylor expansion of -1 in x 3.767 * [backup-simplify]: Simplify -1 into -1 3.767 * [backup-simplify]: Simplify 0 into 0 3.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.768 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 3.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (/ 1 x) 1)))) into (/ 1 x) 3.768 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.768 * [taylor]: Taking taylor expansion of x in x 3.768 * [backup-simplify]: Simplify 0 into 0 3.768 * [backup-simplify]: Simplify 1 into 1 3.769 * [backup-simplify]: Simplify (/ 1 1) into 1 3.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.771 * [backup-simplify]: Simplify 0 into 0 3.771 * [backup-simplify]: Simplify 0 into 0 3.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 3.772 * [backup-simplify]: Simplify (+ 0 0) into 0 3.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (/ 1 x) (/ (/ 1 x) 1)))) into (- (/ 1 (pow x 2))) 3.773 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 3.773 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.773 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.773 * [taylor]: Taking taylor expansion of x in x 3.773 * [backup-simplify]: Simplify 0 into 0 3.774 * [backup-simplify]: Simplify 1 into 1 3.774 * [backup-simplify]: Simplify (* 1 1) into 1 3.775 * [backup-simplify]: Simplify (/ 1 1) into 1 3.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.780 * [backup-simplify]: Simplify (- 0) into 0 3.780 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.781 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify 0 into 0 3.782 * * * [progress]: simplifying candidates 3.784 * [simplify]: Simplifying: (expm1 (* x (/ 1 (+ y x)))) (log1p (* x (/ 1 (+ y x)))) (* x (/ 1 (+ y x))) (+ (log x) (- (log (+ y x)))) (+ (log x) (- 0 (log (+ y x)))) (+ (log x) (- (log 1) (log (+ y x)))) (+ (log x) (log (/ 1 (+ y x)))) (log (* x (/ 1 (+ y x)))) (exp (* x (/ 1 (+ y x)))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (+ y x) (+ y x)) (+ y x)))) (* (* (* x x) x) (* (* (/ 1 (+ y x)) (/ 1 (+ y x))) (/ 1 (+ y x)))) (* (cbrt (* x (/ 1 (+ y x)))) (cbrt (* x (/ 1 (+ y x))))) (cbrt (* x (/ 1 (+ y x)))) (* (* (* x (/ 1 (+ y x))) (* x (/ 1 (+ y x)))) (* x (/ 1 (+ y x)))) (sqrt (* x (/ 1 (+ y x)))) (sqrt (* x (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ y x)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ y x)))) (* (sqrt x) (/ 1 (sqrt (+ y x)))) (* (sqrt x) (/ 1 (sqrt (+ y x)))) (* x (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x))))) (* x (sqrt (/ 1 (+ y x)))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y x)))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (sqrt 1) (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ (sqrt 1) (sqrt (+ y x)))) (* x (/ (sqrt 1) 1)) (* x (/ (sqrt 1) 1)) (* x (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ 1 (sqrt (+ y x)))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x 1) (* x (/ 1 (+ (pow y 3) (pow x 3)))) (* x (/ 1 (- (* y y) (* x x)))) (* (cbrt x) (/ 1 (+ y x))) (* (sqrt x) (/ 1 (+ y x))) (* x (/ 1 (+ y x))) (* x 1) (expm1 (/ 1 (+ y x))) (log1p (/ 1 (+ y x))) (- 1) (- (log (+ y x))) (- 0 (log (+ y x))) (- (log 1) (log (+ y x))) (log (/ 1 (+ y x))) (exp (/ 1 (+ y x))) (/ (* (* 1 1) 1) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x)))) (cbrt (/ 1 (+ y x))) (* (* (/ 1 (+ y x)) (/ 1 (+ y x))) (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) (- 1) (- (+ y x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt 1) (cbrt (+ y x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y x))) (/ (cbrt 1) (sqrt (+ y x))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y x)) (/ (sqrt 1) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt 1) (cbrt (+ y x))) (/ (sqrt 1) (sqrt (+ y x))) (/ (sqrt 1) (sqrt (+ y x))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y x)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 1) (/ 1 (+ y x)) (/ 1 1) (/ 1 (+ y x)) (/ 1 (+ y x)) (/ (+ y x) 1) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (sqrt (+ y x))) (/ 1 1) (/ 1 1) (/ (+ y x) (cbrt 1)) (/ (+ y x) (sqrt 1)) (/ (+ y x) 1) (/ 1 (+ (pow y 3) (pow x 3))) (/ 1 (- (* y y) (* x x))) 0 0 0 0 0 0 3.786 * * [simplify]: Extracting # 0 : cost 0 3.786 * * [simplify]: Extracting # 1 : cost 0 3.787 * * [simplify]: Extracting # 2 : cost 0 3.787 * * [simplify]: Extracting # 3 : cost 0 3.787 * * [simplify]: Extracting # 4 : cost 0 3.787 * * [simplify]: Extracting # 5 : cost 0 3.788 * * [simplify]: Extracting # 6 : cost 0 3.788 * * [simplify]: iteration 0 : 99 enodes (cost 783 ) 3.868 * * [simplify]: Extracting # 0 : cost 0 3.869 * * [simplify]: Extracting # 1 : cost 0 3.869 * * [simplify]: Extracting # 2 : cost 0 3.869 * * [simplify]: Extracting # 3 : cost 0 3.870 * * [simplify]: iteration 1 : 225 enodes (cost 603 ) 3.956 * * [simplify]: Extracting # 0 : cost 0 3.957 * * [simplify]: Extracting # 1 : cost 0 3.957 * * [simplify]: Extracting # 2 : cost 0 3.958 * * [simplify]: Extracting # 3 : cost 0 3.959 * * [simplify]: Extracting # 4 : cost 0 3.960 * * [simplify]: Extracting # 5 : cost 0 3.960 * * [simplify]: Extracting # 6 : cost 0 3.961 * * [simplify]: iteration 2 : 464 enodes (cost 541 ) 4.306 * * [simplify]: Extracting # 0 : cost 0 4.307 * * [simplify]: Extracting # 1 : cost 0 4.308 * * [simplify]: Extracting # 2 : cost 0 4.309 * * [simplify]: Extracting # 3 : cost 0 4.309 * * [simplify]: iteration 3 : 952 enodes (cost 541 ) 5.073 * * [simplify]: Extracting # 0 : cost 0 5.075 * * [simplify]: Extracting # 1 : cost 0 5.076 * * [simplify]: Extracting # 2 : cost 0 5.078 * * [simplify]: Extracting # 3 : cost 0 5.085 * * [simplify]: Extracting # 4 : cost 0 5.087 * * [simplify]: Extracting # 5 : cost 0 5.088 * * [simplify]: iteration 4 : 2098 enodes (cost 541 ) 7.344 * * [simplify]: Extracting # 0 : cost 0 7.351 * * [simplify]: Extracting # 1 : cost 0 7.361 * * [simplify]: Extracting # 2 : cost 0 7.369 * * [simplify]: Extracting # 3 : cost 0 7.378 * * [simplify]: Extracting # 4 : cost 0 7.387 * * [simplify]: iteration done: 5000 enodes (cost 541 ) 7.387 * [simplify]: Simplified to: (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (/ x (+ x y)) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (pow (/ x (+ x y)) 3) (pow (/ x (+ x y)) 3) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (pow (/ x (+ x y)) 3) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (* (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 (expm1 (/ 1 (+ y x))) (log1p (/ 1 (+ y x))) -1 (- (log (+ y x))) (- (log (+ y x))) (- (log (+ y x))) (- (log (+ y x))) (exp (/ 1 (+ y x))) (pow (/ 1 (+ x y)) 3) (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x)))) (cbrt (/ 1 (+ y x))) (pow (/ 1 (+ x y)) 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)) (+ x y) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (sqrt (+ y x))) 1 1 (+ x y) (+ x y) (+ x y) (/ 1 (+ (pow y 3) (pow x 3))) (/ 1 (- (* y y) (* x x))) 0 0 0 0 0 0 7.388 * * * [progress]: adding candidates to table 7.600 * * [progress]: iteration 3 / 4 7.600 * * * [progress]: picking best candidate 7.605 * * * * [pick]: Picked # 7.605 * * * [progress]: localizing error 7.616 * * * [progress]: generating rewritten candidates 7.616 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 7.653 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 7.710 * * * [progress]: generating series expansions 7.710 * * * * [progress]: [ 1 / 2 ] generating series at (2) 7.711 * [backup-simplify]: Simplify (/ 1 (/ (+ x y) x)) into (/ x (+ x y)) 7.711 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 7.711 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 7.711 * [taylor]: Taking taylor expansion of x in y 7.711 * [backup-simplify]: Simplify x into x 7.711 * [taylor]: Taking taylor expansion of (+ x y) in y 7.711 * [taylor]: Taking taylor expansion of x in y 7.711 * [backup-simplify]: Simplify x into x 7.711 * [taylor]: Taking taylor expansion of y in y 7.711 * [backup-simplify]: Simplify 0 into 0 7.711 * [backup-simplify]: Simplify 1 into 1 7.711 * [backup-simplify]: Simplify (+ x 0) into x 7.711 * [backup-simplify]: Simplify (/ x x) into 1 7.711 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 7.711 * [taylor]: Taking taylor expansion of x in x 7.711 * [backup-simplify]: Simplify 0 into 0 7.711 * [backup-simplify]: Simplify 1 into 1 7.711 * [taylor]: Taking taylor expansion of (+ x y) in x 7.711 * [taylor]: Taking taylor expansion of x in x 7.711 * [backup-simplify]: Simplify 0 into 0 7.711 * [backup-simplify]: Simplify 1 into 1 7.711 * [taylor]: Taking taylor expansion of y in x 7.711 * [backup-simplify]: Simplify y into y 7.711 * [backup-simplify]: Simplify (+ 0 y) into y 7.711 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.711 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 7.711 * [taylor]: Taking taylor expansion of x in x 7.711 * [backup-simplify]: Simplify 0 into 0 7.711 * [backup-simplify]: Simplify 1 into 1 7.711 * [taylor]: Taking taylor expansion of (+ x y) in x 7.711 * [taylor]: Taking taylor expansion of x in x 7.711 * [backup-simplify]: Simplify 0 into 0 7.711 * [backup-simplify]: Simplify 1 into 1 7.711 * [taylor]: Taking taylor expansion of y in x 7.712 * [backup-simplify]: Simplify y into y 7.712 * [backup-simplify]: Simplify (+ 0 y) into y 7.712 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.712 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.712 * [taylor]: Taking taylor expansion of y in y 7.712 * [backup-simplify]: Simplify 0 into 0 7.712 * [backup-simplify]: Simplify 1 into 1 7.713 * [backup-simplify]: Simplify (/ 1 1) into 1 7.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.713 * [backup-simplify]: Simplify 0 into 0 7.714 * [backup-simplify]: Simplify (+ 1 0) into 1 7.714 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 7.714 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 7.714 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.714 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.714 * [taylor]: Taking taylor expansion of y in y 7.714 * [backup-simplify]: Simplify 0 into 0 7.714 * [backup-simplify]: Simplify 1 into 1 7.715 * [backup-simplify]: Simplify (* 1 1) into 1 7.715 * [backup-simplify]: Simplify (/ 1 1) into 1 7.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.719 * [backup-simplify]: Simplify (- 0) into 0 7.719 * [backup-simplify]: Simplify 0 into 0 7.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.720 * [backup-simplify]: Simplify 0 into 0 7.720 * [backup-simplify]: Simplify (+ 0 0) into 0 7.720 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 7.721 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 7.721 * [taylor]: Taking taylor expansion of (pow y 3) in y 7.721 * [taylor]: Taking taylor expansion of y in y 7.721 * [backup-simplify]: Simplify 0 into 0 7.721 * [backup-simplify]: Simplify 1 into 1 7.721 * [backup-simplify]: Simplify (* 1 1) into 1 7.721 * [backup-simplify]: Simplify (* 1 1) into 1 7.722 * [backup-simplify]: Simplify (/ 1 1) into 1 7.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.729 * [backup-simplify]: Simplify 0 into 0 7.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.732 * [backup-simplify]: Simplify (- 0) into 0 7.732 * [backup-simplify]: Simplify 0 into 0 7.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.733 * [backup-simplify]: Simplify 0 into 0 7.733 * [backup-simplify]: Simplify 0 into 0 7.733 * [backup-simplify]: Simplify (/ 1 (/ (+ (/ 1 x) (/ 1 y)) (/ 1 x))) into (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) 7.733 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 7.733 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 7.733 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 7.733 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 7.733 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.733 * [taylor]: Taking taylor expansion of y in y 7.733 * [backup-simplify]: Simplify 0 into 0 7.733 * [backup-simplify]: Simplify 1 into 1 7.734 * [backup-simplify]: Simplify (/ 1 1) into 1 7.734 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.734 * [taylor]: Taking taylor expansion of x in y 7.734 * [backup-simplify]: Simplify x into x 7.734 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.734 * [taylor]: Taking taylor expansion of x in y 7.734 * [backup-simplify]: Simplify x into x 7.734 * [backup-simplify]: Simplify (+ 1 0) into 1 7.734 * [backup-simplify]: Simplify (* 1 x) into x 7.734 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.734 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 7.734 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 7.734 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.735 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.735 * [taylor]: Taking taylor expansion of y in x 7.735 * [backup-simplify]: Simplify y into y 7.735 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.735 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.735 * [taylor]: Taking taylor expansion of x in x 7.735 * [backup-simplify]: Simplify 0 into 0 7.735 * [backup-simplify]: Simplify 1 into 1 7.735 * [backup-simplify]: Simplify (/ 1 1) into 1 7.735 * [taylor]: Taking taylor expansion of x in x 7.735 * [backup-simplify]: Simplify 0 into 0 7.735 * [backup-simplify]: Simplify 1 into 1 7.736 * [backup-simplify]: Simplify (+ 0 1) into 1 7.736 * [backup-simplify]: Simplify (* 1 0) into 0 7.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.737 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 7.738 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 7.738 * [backup-simplify]: Simplify (/ 1 1) into 1 7.738 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 7.738 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 7.738 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.738 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.738 * [taylor]: Taking taylor expansion of y in x 7.738 * [backup-simplify]: Simplify y into y 7.739 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.739 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.739 * [taylor]: Taking taylor expansion of x in x 7.739 * [backup-simplify]: Simplify 0 into 0 7.739 * [backup-simplify]: Simplify 1 into 1 7.739 * [backup-simplify]: Simplify (/ 1 1) into 1 7.739 * [taylor]: Taking taylor expansion of x in x 7.739 * [backup-simplify]: Simplify 0 into 0 7.739 * [backup-simplify]: Simplify 1 into 1 7.740 * [backup-simplify]: Simplify (+ 0 1) into 1 7.740 * [backup-simplify]: Simplify (* 1 0) into 0 7.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.741 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 7.742 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 7.742 * [backup-simplify]: Simplify (/ 1 1) into 1 7.742 * [taylor]: Taking taylor expansion of 1 in y 7.742 * [backup-simplify]: Simplify 1 into 1 7.742 * [backup-simplify]: Simplify 0 into 0 7.743 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 7.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.744 * [backup-simplify]: Simplify (+ 0 0) into 0 7.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 1) (* 0 0))) into (/ 1 y) 7.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 7.745 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 7.745 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.745 * [taylor]: Taking taylor expansion of y in y 7.745 * [backup-simplify]: Simplify 0 into 0 7.745 * [backup-simplify]: Simplify 1 into 1 7.745 * [backup-simplify]: Simplify (/ 1 1) into 1 7.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.747 * [backup-simplify]: Simplify (- 0) into 0 7.747 * [backup-simplify]: Simplify 0 into 0 7.748 * [backup-simplify]: Simplify 0 into 0 7.748 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.749 * [backup-simplify]: Simplify (+ 0 0) into 0 7.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 1) (* 0 0)))) into 0 7.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 7.751 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.751 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.751 * [taylor]: Taking taylor expansion of y in y 7.751 * [backup-simplify]: Simplify 0 into 0 7.751 * [backup-simplify]: Simplify 1 into 1 7.751 * [backup-simplify]: Simplify (* 1 1) into 1 7.752 * [backup-simplify]: Simplify (/ 1 1) into 1 7.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.757 * [backup-simplify]: Simplify 0 into 0 7.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.758 * [backup-simplify]: Simplify (- 0) into 0 7.758 * [backup-simplify]: Simplify 0 into 0 7.758 * [backup-simplify]: Simplify 0 into 0 7.758 * [backup-simplify]: Simplify 0 into 0 7.759 * [backup-simplify]: Simplify (/ 1 (/ (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x)))) into (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) 7.759 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 7.759 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 7.759 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 7.759 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 7.759 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.759 * [taylor]: Taking taylor expansion of y in y 7.759 * [backup-simplify]: Simplify 0 into 0 7.759 * [backup-simplify]: Simplify 1 into 1 7.759 * [backup-simplify]: Simplify (/ 1 1) into 1 7.759 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.759 * [taylor]: Taking taylor expansion of x in y 7.759 * [backup-simplify]: Simplify x into x 7.759 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.759 * [taylor]: Taking taylor expansion of x in y 7.759 * [backup-simplify]: Simplify x into x 7.760 * [backup-simplify]: Simplify (+ 1 0) into 1 7.760 * [backup-simplify]: Simplify (* 1 x) into x 7.760 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.760 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 7.760 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 7.760 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.760 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.760 * [taylor]: Taking taylor expansion of y in x 7.760 * [backup-simplify]: Simplify y into y 7.760 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.760 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.760 * [taylor]: Taking taylor expansion of x in x 7.760 * [backup-simplify]: Simplify 0 into 0 7.760 * [backup-simplify]: Simplify 1 into 1 7.761 * [backup-simplify]: Simplify (/ 1 1) into 1 7.761 * [taylor]: Taking taylor expansion of x in x 7.761 * [backup-simplify]: Simplify 0 into 0 7.761 * [backup-simplify]: Simplify 1 into 1 7.761 * [backup-simplify]: Simplify (+ 0 1) into 1 7.762 * [backup-simplify]: Simplify (* 1 0) into 0 7.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.763 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 7.763 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 7.764 * [backup-simplify]: Simplify (/ 1 1) into 1 7.764 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 7.764 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 7.764 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.764 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.764 * [taylor]: Taking taylor expansion of y in x 7.764 * [backup-simplify]: Simplify y into y 7.764 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.764 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.764 * [taylor]: Taking taylor expansion of x in x 7.764 * [backup-simplify]: Simplify 0 into 0 7.764 * [backup-simplify]: Simplify 1 into 1 7.764 * [backup-simplify]: Simplify (/ 1 1) into 1 7.764 * [taylor]: Taking taylor expansion of x in x 7.764 * [backup-simplify]: Simplify 0 into 0 7.764 * [backup-simplify]: Simplify 1 into 1 7.765 * [backup-simplify]: Simplify (+ 0 1) into 1 7.765 * [backup-simplify]: Simplify (* 1 0) into 0 7.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.766 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 7.766 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 7.767 * [backup-simplify]: Simplify (/ 1 1) into 1 7.767 * [taylor]: Taking taylor expansion of 1 in y 7.767 * [backup-simplify]: Simplify 1 into 1 7.767 * [backup-simplify]: Simplify 0 into 0 7.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 7.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.768 * [backup-simplify]: Simplify (+ 0 0) into 0 7.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 1) (* 0 0))) into (/ 1 y) 7.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 7.769 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 7.769 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.769 * [taylor]: Taking taylor expansion of y in y 7.769 * [backup-simplify]: Simplify 0 into 0 7.769 * [backup-simplify]: Simplify 1 into 1 7.770 * [backup-simplify]: Simplify (/ 1 1) into 1 7.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.772 * [backup-simplify]: Simplify (- 0) into 0 7.772 * [backup-simplify]: Simplify 0 into 0 7.772 * [backup-simplify]: Simplify 0 into 0 7.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.774 * [backup-simplify]: Simplify (+ 0 0) into 0 7.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 1) (* 0 0)))) into 0 7.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 7.775 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.775 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.775 * [taylor]: Taking taylor expansion of y in y 7.775 * [backup-simplify]: Simplify 0 into 0 7.776 * [backup-simplify]: Simplify 1 into 1 7.776 * [backup-simplify]: Simplify (* 1 1) into 1 7.776 * [backup-simplify]: Simplify (/ 1 1) into 1 7.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.782 * [backup-simplify]: Simplify 0 into 0 7.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.783 * [backup-simplify]: Simplify (- 0) into 0 7.783 * [backup-simplify]: Simplify 0 into 0 7.783 * [backup-simplify]: Simplify 0 into 0 7.783 * [backup-simplify]: Simplify 0 into 0 7.783 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 7.783 * [backup-simplify]: Simplify (/ (+ x y) x) into (/ (+ x y) x) 7.783 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (x y) around 0 7.783 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 7.783 * [taylor]: Taking taylor expansion of (+ x y) in y 7.783 * [taylor]: Taking taylor expansion of x in y 7.783 * [backup-simplify]: Simplify x into x 7.783 * [taylor]: Taking taylor expansion of y in y 7.783 * [backup-simplify]: Simplify 0 into 0 7.783 * [backup-simplify]: Simplify 1 into 1 7.783 * [taylor]: Taking taylor expansion of x in y 7.783 * [backup-simplify]: Simplify x into x 7.783 * [backup-simplify]: Simplify (+ x 0) into x 7.784 * [backup-simplify]: Simplify (/ x x) into 1 7.784 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 7.784 * [taylor]: Taking taylor expansion of (+ x y) in x 7.784 * [taylor]: Taking taylor expansion of x in x 7.784 * [backup-simplify]: Simplify 0 into 0 7.784 * [backup-simplify]: Simplify 1 into 1 7.784 * [taylor]: Taking taylor expansion of y in x 7.784 * [backup-simplify]: Simplify y into y 7.784 * [taylor]: Taking taylor expansion of x in x 7.784 * [backup-simplify]: Simplify 0 into 0 7.784 * [backup-simplify]: Simplify 1 into 1 7.784 * [backup-simplify]: Simplify (+ 0 y) into y 7.784 * [backup-simplify]: Simplify (/ y 1) into y 7.784 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 7.784 * [taylor]: Taking taylor expansion of (+ x y) in x 7.784 * [taylor]: Taking taylor expansion of x in x 7.784 * [backup-simplify]: Simplify 0 into 0 7.784 * [backup-simplify]: Simplify 1 into 1 7.784 * [taylor]: Taking taylor expansion of y in x 7.784 * [backup-simplify]: Simplify y into y 7.784 * [taylor]: Taking taylor expansion of x in x 7.784 * [backup-simplify]: Simplify 0 into 0 7.784 * [backup-simplify]: Simplify 1 into 1 7.784 * [backup-simplify]: Simplify (+ 0 y) into y 7.784 * [backup-simplify]: Simplify (/ y 1) into y 7.784 * [taylor]: Taking taylor expansion of y in y 7.784 * [backup-simplify]: Simplify 0 into 0 7.784 * [backup-simplify]: Simplify 1 into 1 7.784 * [backup-simplify]: Simplify 0 into 0 7.785 * [backup-simplify]: Simplify (+ 1 0) into 1 7.786 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* y (/ 0 1)))) into 1 7.786 * [taylor]: Taking taylor expansion of 1 in y 7.786 * [backup-simplify]: Simplify 1 into 1 7.786 * [backup-simplify]: Simplify 1 into 1 7.786 * [backup-simplify]: Simplify 1 into 1 7.786 * [backup-simplify]: Simplify (+ 0 0) into 0 7.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 1 (/ 0 1)))) into 0 7.788 * [taylor]: Taking taylor expansion of 0 in y 7.788 * [backup-simplify]: Simplify 0 into 0 7.788 * [backup-simplify]: Simplify 0 into 0 7.788 * [backup-simplify]: Simplify 0 into 0 7.788 * [backup-simplify]: Simplify 0 into 0 7.789 * [backup-simplify]: Simplify (+ 0 0) into 0 7.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.791 * [taylor]: Taking taylor expansion of 0 in y 7.791 * [backup-simplify]: Simplify 0 into 0 7.791 * [backup-simplify]: Simplify 0 into 0 7.791 * [backup-simplify]: Simplify 0 into 0 7.791 * [backup-simplify]: Simplify 0 into 0 7.791 * [backup-simplify]: Simplify (+ (* 1 (* y (/ 1 x))) 1) into (+ (/ y x) 1) 7.791 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (/ 1 x)) into (* (+ (/ 1 y) (/ 1 x)) x) 7.791 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 7.791 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 7.791 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 7.791 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.791 * [taylor]: Taking taylor expansion of y in y 7.791 * [backup-simplify]: Simplify 0 into 0 7.791 * [backup-simplify]: Simplify 1 into 1 7.792 * [backup-simplify]: Simplify (/ 1 1) into 1 7.792 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.792 * [taylor]: Taking taylor expansion of x in y 7.792 * [backup-simplify]: Simplify x into x 7.792 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.792 * [taylor]: Taking taylor expansion of x in y 7.792 * [backup-simplify]: Simplify x into x 7.792 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 7.792 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.792 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.792 * [taylor]: Taking taylor expansion of y in x 7.792 * [backup-simplify]: Simplify y into y 7.792 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.792 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.792 * [taylor]: Taking taylor expansion of x in x 7.792 * [backup-simplify]: Simplify 0 into 0 7.792 * [backup-simplify]: Simplify 1 into 1 7.793 * [backup-simplify]: Simplify (/ 1 1) into 1 7.793 * [taylor]: Taking taylor expansion of x in x 7.793 * [backup-simplify]: Simplify 0 into 0 7.793 * [backup-simplify]: Simplify 1 into 1 7.793 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 7.793 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.793 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.793 * [taylor]: Taking taylor expansion of y in x 7.793 * [backup-simplify]: Simplify y into y 7.793 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.793 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.793 * [taylor]: Taking taylor expansion of x in x 7.793 * [backup-simplify]: Simplify 0 into 0 7.793 * [backup-simplify]: Simplify 1 into 1 7.793 * [backup-simplify]: Simplify (/ 1 1) into 1 7.793 * [taylor]: Taking taylor expansion of x in x 7.793 * [backup-simplify]: Simplify 0 into 0 7.793 * [backup-simplify]: Simplify 1 into 1 7.794 * [backup-simplify]: Simplify (+ 0 1) into 1 7.794 * [backup-simplify]: Simplify (* 1 0) into 0 7.794 * [taylor]: Taking taylor expansion of 0 in y 7.794 * [backup-simplify]: Simplify 0 into 0 7.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.795 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 7.796 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 7.796 * [taylor]: Taking taylor expansion of 1 in y 7.796 * [backup-simplify]: Simplify 1 into 1 7.796 * [backup-simplify]: Simplify 0 into 0 7.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 7.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.797 * [backup-simplify]: Simplify (+ 0 0) into 0 7.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 1) (* 0 0))) into (/ 1 y) 7.798 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.798 * [taylor]: Taking taylor expansion of y in y 7.798 * [backup-simplify]: Simplify 0 into 0 7.798 * [backup-simplify]: Simplify 1 into 1 7.799 * [backup-simplify]: Simplify (/ 1 1) into 1 7.799 * [backup-simplify]: Simplify 1 into 1 7.799 * [backup-simplify]: Simplify 1 into 1 7.799 * [backup-simplify]: Simplify 0 into 0 7.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.800 * [backup-simplify]: Simplify (+ 0 0) into 0 7.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 1) (* 0 0)))) into 0 7.801 * [taylor]: Taking taylor expansion of 0 in y 7.801 * [backup-simplify]: Simplify 0 into 0 7.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.802 * [backup-simplify]: Simplify 0 into 0 7.802 * [backup-simplify]: Simplify 0 into 0 7.802 * [backup-simplify]: Simplify 0 into 0 7.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.804 * [backup-simplify]: Simplify (+ 0 0) into 0 7.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.805 * [taylor]: Taking taylor expansion of 0 in y 7.805 * [backup-simplify]: Simplify 0 into 0 7.805 * [backup-simplify]: Simplify 0 into 0 7.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.806 * [backup-simplify]: Simplify 0 into 0 7.806 * [backup-simplify]: Simplify (+ 1 (* 1 (* (/ 1 (/ 1 y)) (/ 1 x)))) into (+ (/ y x) 1) 7.807 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) into (* (+ (/ 1 y) (/ 1 x)) x) 7.807 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 7.807 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 7.807 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 7.807 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.807 * [taylor]: Taking taylor expansion of y in y 7.807 * [backup-simplify]: Simplify 0 into 0 7.807 * [backup-simplify]: Simplify 1 into 1 7.807 * [backup-simplify]: Simplify (/ 1 1) into 1 7.807 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.807 * [taylor]: Taking taylor expansion of x in y 7.807 * [backup-simplify]: Simplify x into x 7.807 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.807 * [taylor]: Taking taylor expansion of x in y 7.807 * [backup-simplify]: Simplify x into x 7.808 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 7.808 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.808 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.808 * [taylor]: Taking taylor expansion of y in x 7.808 * [backup-simplify]: Simplify y into y 7.808 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.808 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.808 * [taylor]: Taking taylor expansion of x in x 7.808 * [backup-simplify]: Simplify 0 into 0 7.808 * [backup-simplify]: Simplify 1 into 1 7.808 * [backup-simplify]: Simplify (/ 1 1) into 1 7.808 * [taylor]: Taking taylor expansion of x in x 7.808 * [backup-simplify]: Simplify 0 into 0 7.808 * [backup-simplify]: Simplify 1 into 1 7.808 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 7.808 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.808 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.808 * [taylor]: Taking taylor expansion of y in x 7.808 * [backup-simplify]: Simplify y into y 7.808 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.808 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.808 * [taylor]: Taking taylor expansion of x in x 7.809 * [backup-simplify]: Simplify 0 into 0 7.809 * [backup-simplify]: Simplify 1 into 1 7.809 * [backup-simplify]: Simplify (/ 1 1) into 1 7.809 * [taylor]: Taking taylor expansion of x in x 7.809 * [backup-simplify]: Simplify 0 into 0 7.809 * [backup-simplify]: Simplify 1 into 1 7.809 * [backup-simplify]: Simplify (+ 0 1) into 1 7.810 * [backup-simplify]: Simplify (* 1 0) into 0 7.810 * [taylor]: Taking taylor expansion of 0 in y 7.810 * [backup-simplify]: Simplify 0 into 0 7.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.811 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 7.811 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 7.811 * [taylor]: Taking taylor expansion of 1 in y 7.811 * [backup-simplify]: Simplify 1 into 1 7.811 * [backup-simplify]: Simplify 0 into 0 7.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 7.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.813 * [backup-simplify]: Simplify (+ 0 0) into 0 7.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 1) (* 0 0))) into (/ 1 y) 7.814 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.814 * [taylor]: Taking taylor expansion of y in y 7.814 * [backup-simplify]: Simplify 0 into 0 7.814 * [backup-simplify]: Simplify 1 into 1 7.814 * [backup-simplify]: Simplify (/ 1 1) into 1 7.814 * [backup-simplify]: Simplify 1 into 1 7.814 * [backup-simplify]: Simplify 1 into 1 7.814 * [backup-simplify]: Simplify 0 into 0 7.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.816 * [backup-simplify]: Simplify (+ 0 0) into 0 7.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 1) (* 0 0)))) into 0 7.817 * [taylor]: Taking taylor expansion of 0 in y 7.817 * [backup-simplify]: Simplify 0 into 0 7.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.818 * [backup-simplify]: Simplify 0 into 0 7.818 * [backup-simplify]: Simplify 0 into 0 7.818 * [backup-simplify]: Simplify 0 into 0 7.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.819 * [backup-simplify]: Simplify (+ 0 0) into 0 7.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.821 * [taylor]: Taking taylor expansion of 0 in y 7.821 * [backup-simplify]: Simplify 0 into 0 7.821 * [backup-simplify]: Simplify 0 into 0 7.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.822 * [backup-simplify]: Simplify 0 into 0 7.822 * [backup-simplify]: Simplify (+ 1 (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (- x))))) into (+ (/ y x) 1) 7.822 * * * [progress]: simplifying candidates 7.826 * [simplify]: Simplifying: (expm1 (/ 1 (/ (+ x y) x))) (log1p (/ 1 (/ (+ x y) x))) (- 1) (- (- (log (+ x y)) (log x))) (- (log (/ (+ x y) x))) (- 0 (- (log (+ x y)) (log x))) (- 0 (log (/ (+ x y) x))) (- (log 1) (- (log (+ x y)) (log x))) (- (log 1) (log (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (exp (/ 1 (/ (+ x y) x))) (/ (* (* 1 1) 1) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x))) (* (cbrt (/ 1 (/ (+ x y) x))) (cbrt (/ 1 (/ (+ x y) x)))) (cbrt (/ 1 (/ (+ x y) x))) (* (* (/ 1 (/ (+ x y) x)) (/ 1 (/ (+ x y) x))) (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (- 1) (- (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ (cbrt 1) (cbrt (/ (+ x y) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ x y) x))) (/ (cbrt 1) (sqrt (/ (+ x y) x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (cbrt (+ x y)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ (cbrt 1) (/ (cbrt (+ x y)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ (cbrt 1) (/ (cbrt (+ x y)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (sqrt (+ x y)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) (sqrt x))) (/ (cbrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) 1)) (/ (cbrt 1) (/ (sqrt (+ x y)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ x y) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ x y) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ x y) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ x y) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (+ x y)) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ (sqrt 1) (cbrt (/ (+ x y) x))) (/ (sqrt 1) (sqrt (/ (+ x y) x))) (/ (sqrt 1) (sqrt (/ (+ x y) x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (cbrt (+ x y)) (cbrt x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ (sqrt 1) (/ (cbrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ (sqrt 1) (/ (cbrt (+ x y)) x)) (/ (sqrt 1) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (sqrt (+ x y)) (cbrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) 1)) (/ (sqrt 1) (/ (sqrt (+ x y)) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ x y) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ x y) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ x y) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ x y) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) (+ x y)) (/ (sqrt 1) (/ 1 x)) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (cbrt (+ x y)) (cbrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ 1 (/ (cbrt (+ x y)) (sqrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ 1 (/ (cbrt (+ x y)) x)) (/ 1 (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ x y)) (cbrt x))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) 1)) (/ 1 (/ (sqrt (+ x y)) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ x y) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ x y) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ x y) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ x y) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ x y) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ x y) x)) (/ 1 1) (/ 1 (/ (+ x y) x)) (/ 1 (+ x y)) (/ 1 (/ 1 x)) (/ 1 (/ (+ x y) x)) (/ (/ (+ x y) x) 1) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ 1 (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (+ x y)) (/ (/ (+ x y) x) (cbrt 1)) (/ (/ (+ x y) x) (sqrt 1)) (/ (/ (+ x y) x) 1) (/ 1 (+ x y)) (expm1 (/ (+ x y) x)) (log1p (/ (+ x y) x)) (- (log (+ x y)) (log x)) (log (/ (+ x y) x)) (exp (/ (+ x y) x)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x)) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x)) (* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (- (+ x y)) (- x) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ x y)) (cbrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x)) (/ (cbrt (+ x y)) (sqrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) x) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ x y)) (cbrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) (/ 1 1) (/ (+ x y) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) (/ 1 1) (/ (+ x y) x) (/ 1 x) (/ x (+ x y)) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (/ (+ x y) 1) (/ x (cbrt (+ x y))) (/ x (sqrt (+ x y))) (/ x (+ x y)) (/ x (+ x y)) (* x (+ (* x x) (- (* y y) (* x y)))) (* x (- x y)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 7.831 * * [simplify]: Extracting # 0 : cost 0 7.832 * * [simplify]: Extracting # 1 : cost 0 7.832 * * [simplify]: Extracting # 2 : cost 0 7.832 * * [simplify]: Extracting # 3 : cost 0 7.833 * * [simplify]: Extracting # 4 : cost 0 7.833 * * [simplify]: Extracting # 5 : cost 0 7.834 * * [simplify]: Extracting # 6 : cost 0 7.834 * * [simplify]: Extracting # 7 : cost 0 7.834 * * [simplify]: iteration 0 : 160 enodes (cost 1662 ) 7.913 * * [simplify]: Extracting # 0 : cost 0 7.913 * * [simplify]: Extracting # 1 : cost 0 7.913 * * [simplify]: Extracting # 2 : cost 0 7.914 * * [simplify]: Extracting # 3 : cost 0 7.914 * * [simplify]: Extracting # 4 : cost 0 7.914 * * [simplify]: iteration 1 : 339 enodes (cost 1374 ) 7.986 * * [simplify]: Extracting # 0 : cost 0 7.987 * * [simplify]: Extracting # 1 : cost 0 7.988 * * [simplify]: Extracting # 2 : cost 0 7.988 * * [simplify]: Extracting # 3 : cost 0 7.989 * * [simplify]: Extracting # 4 : cost 0 7.989 * * [simplify]: iteration 2 : 664 enodes (cost 1203 ) 8.426 * * [simplify]: Extracting # 0 : cost 0 8.427 * * [simplify]: Extracting # 1 : cost 0 8.428 * * [simplify]: Extracting # 2 : cost 0 8.429 * * [simplify]: Extracting # 3 : cost 0 8.430 * * [simplify]: Extracting # 4 : cost 0 8.432 * * [simplify]: Extracting # 5 : cost 0 8.433 * * [simplify]: iteration 3 : 1377 enodes (cost 1179 ) 9.638 * * [simplify]: Extracting # 0 : cost 0 9.640 * * [simplify]: Extracting # 1 : cost 0 9.642 * * [simplify]: Extracting # 2 : cost 0 9.644 * * [simplify]: Extracting # 3 : cost 0 9.648 * * [simplify]: Extracting # 4 : cost 0 9.652 * * [simplify]: iteration 4 : 2622 enodes (cost 1179 ) 12.165 * * [simplify]: Extracting # 0 : cost 0 12.175 * * [simplify]: Extracting # 1 : cost 0 12.183 * * [simplify]: Extracting # 2 : cost 0 12.191 * * [simplify]: Extracting # 3 : cost 0 12.199 * * [simplify]: Extracting # 4 : cost 0 12.207 * * [simplify]: iteration done: 5000 enodes (cost 1178 ) 12.208 * [simplify]: Simplified to: (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) -1 (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (pow (/ x (+ x y)) 3) (pow (/ x (+ x y)) 3) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (pow (/ x (+ x y)) 3) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) -1 (- -1 (/ y x)) (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (/ 1 (cbrt (+ x y))) (cbrt (+ x y))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (/ 1 (cbrt (+ x y))) (cbrt (+ x y))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (/ 1 (cbrt (+ x y))) (cbrt (+ x y))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ x (+ x y)) (/ (+ x y) x) (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (/ 1 (cbrt (+ x y))) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (sqrt x) 1 (* (cbrt x) (cbrt x)) (sqrt x) 1 1 (/ 1 (+ x y)) (/ (+ x y) x) (/ (+ x y) x) (/ (+ x y) x) (/ 1 (+ x y)) (expm1 (/ (+ x y) x)) (log1p (/ (+ x y) x)) (log (/ (+ x y) x)) (log (/ (+ x y) x)) (exp (/ (+ x y) x)) (pow (/ (+ x y) x) 3) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x)) (pow (/ (+ x y) x) 3) (sqrt (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (- (+ x y)) (- x) (* (/ (cbrt (+ x y)) (cbrt x)) (/ (cbrt (+ x y)) (cbrt x))) (/ (cbrt (+ x y)) (cbrt x)) (* (/ (cbrt (+ x y)) (sqrt x)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (sqrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) x) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ x y)) (cbrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (sqrt x)) (sqrt (+ x y)) (/ (sqrt (+ x y)) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) 1 (/ (+ x y) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) 1 (/ (+ x y) x) (/ 1 x) (/ x (+ x y)) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (+ x y) (/ x (cbrt (+ x y))) (/ x (sqrt (+ x y))) (/ x (+ x y)) (/ x (+ x y)) (* x (fma x x (* y (- y x)))) (* x (- x y)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 12.210 * * * [progress]: adding candidates to table 12.415 * * [progress]: iteration 4 / 4 12.415 * * * [progress]: picking best candidate 12.418 * * * * [pick]: Picked # 12.419 * * * [progress]: localizing error 12.435 * * * [progress]: generating rewritten candidates 12.435 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 12.457 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 12.477 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 12.598 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 12.639 * * * [progress]: generating series expansions 12.639 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 12.640 * [backup-simplify]: Simplify (sqrt (/ x (+ x y))) into (sqrt (/ x (+ x y))) 12.640 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 12.640 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 12.640 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 12.640 * [taylor]: Taking taylor expansion of x in y 12.640 * [backup-simplify]: Simplify x into x 12.640 * [taylor]: Taking taylor expansion of (+ x y) in y 12.640 * [taylor]: Taking taylor expansion of x in y 12.640 * [backup-simplify]: Simplify x into x 12.640 * [taylor]: Taking taylor expansion of y in y 12.640 * [backup-simplify]: Simplify 0 into 0 12.640 * [backup-simplify]: Simplify 1 into 1 12.640 * [backup-simplify]: Simplify (+ x 0) into x 12.640 * [backup-simplify]: Simplify (/ x x) into 1 12.641 * [backup-simplify]: Simplify (sqrt 1) into 1 12.642 * [backup-simplify]: Simplify (+ 0 1) into 1 12.642 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 1 x)))) into (- (/ 1 x)) 12.643 * [backup-simplify]: Simplify (/ (- (/ 1 x)) (* 2 (sqrt 1))) into (/ -1/2 x) 12.643 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 12.643 * [taylor]: Taking taylor expansion of (/ x (+ x y)) 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 (+ x y) 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 y in x 12.643 * [backup-simplify]: Simplify y into y 12.643 * [backup-simplify]: Simplify (+ 0 y) into y 12.643 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.643 * [backup-simplify]: Simplify (sqrt 0) into 0 12.644 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 12.644 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 12.644 * [taylor]: Taking taylor expansion of (/ x (+ x y)) 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 * [taylor]: Taking taylor expansion of (+ x y) 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 * [taylor]: Taking taylor expansion of y in x 12.644 * [backup-simplify]: Simplify y into y 12.644 * [backup-simplify]: Simplify (+ 0 y) into y 12.644 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.645 * [backup-simplify]: Simplify (sqrt 0) into 0 12.646 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 12.646 * [taylor]: Taking taylor expansion of 0 in y 12.646 * [backup-simplify]: Simplify 0 into 0 12.646 * [backup-simplify]: Simplify 0 into 0 12.646 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 12.646 * [taylor]: Taking taylor expansion of +nan.0 in y 12.646 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.646 * [taylor]: Taking taylor expansion of y in y 12.646 * [backup-simplify]: Simplify 0 into 0 12.646 * [backup-simplify]: Simplify 1 into 1 12.647 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 12.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 12.648 * [backup-simplify]: Simplify 0 into 0 12.648 * [backup-simplify]: Simplify 0 into 0 12.648 * [backup-simplify]: Simplify (+ 1 0) into 1 12.649 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 12.650 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 2))) (pow (/ +nan.0 y) 2) (+)) (* 2 0)) into (/ +nan.0 (pow y 2)) 12.650 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 12.650 * [taylor]: Taking taylor expansion of +nan.0 in y 12.650 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.650 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.650 * [taylor]: Taking taylor expansion of y in y 12.650 * [backup-simplify]: Simplify 0 into 0 12.650 * [backup-simplify]: Simplify 1 into 1 12.650 * [backup-simplify]: Simplify (* 1 1) into 1 12.651 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 12.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 12.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.654 * [backup-simplify]: Simplify 0 into 0 12.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.655 * [backup-simplify]: Simplify 0 into 0 12.656 * [backup-simplify]: Simplify 0 into 0 12.656 * [backup-simplify]: Simplify 0 into 0 12.656 * [backup-simplify]: Simplify (sqrt (/ (/ 1 x) (+ (/ 1 x) (/ 1 y)))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 12.656 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 12.656 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 12.656 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.656 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.656 * [taylor]: Taking taylor expansion of x in y 12.656 * [backup-simplify]: Simplify x into x 12.656 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.656 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.656 * [taylor]: Taking taylor expansion of y in y 12.656 * [backup-simplify]: Simplify 0 into 0 12.656 * [backup-simplify]: Simplify 1 into 1 12.657 * [backup-simplify]: Simplify (/ 1 1) into 1 12.657 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.657 * [taylor]: Taking taylor expansion of x in y 12.657 * [backup-simplify]: Simplify x into x 12.657 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.657 * [backup-simplify]: Simplify (+ 1 0) into 1 12.657 * [backup-simplify]: Simplify (* x 1) into x 12.657 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.658 * [backup-simplify]: Simplify (sqrt 0) into 0 12.659 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 12.659 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.659 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.659 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.659 * [taylor]: Taking taylor expansion of x in x 12.659 * [backup-simplify]: Simplify 0 into 0 12.659 * [backup-simplify]: Simplify 1 into 1 12.659 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.659 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.659 * [taylor]: Taking taylor expansion of y in x 12.659 * [backup-simplify]: Simplify y into y 12.659 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.659 * [taylor]: Taking taylor expansion of x in x 12.659 * [backup-simplify]: Simplify 0 into 0 12.659 * [backup-simplify]: Simplify 1 into 1 12.659 * [backup-simplify]: Simplify (/ 1 1) into 1 12.660 * [backup-simplify]: Simplify (+ 0 1) into 1 12.660 * [backup-simplify]: Simplify (* 0 1) into 0 12.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.661 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.661 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.662 * [backup-simplify]: Simplify (/ 1 1) into 1 12.662 * [backup-simplify]: Simplify (sqrt 1) into 1 12.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.664 * [backup-simplify]: Simplify (+ 0 0) into 0 12.664 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.665 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.665 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.665 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.665 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.665 * [taylor]: Taking taylor expansion of x in x 12.665 * [backup-simplify]: Simplify 0 into 0 12.665 * [backup-simplify]: Simplify 1 into 1 12.665 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.665 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.665 * [taylor]: Taking taylor expansion of y in x 12.666 * [backup-simplify]: Simplify y into y 12.666 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.666 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.666 * [taylor]: Taking taylor expansion of x in x 12.666 * [backup-simplify]: Simplify 0 into 0 12.666 * [backup-simplify]: Simplify 1 into 1 12.666 * [backup-simplify]: Simplify (/ 1 1) into 1 12.666 * [backup-simplify]: Simplify (+ 0 1) into 1 12.667 * [backup-simplify]: Simplify (* 0 1) into 0 12.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.668 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.668 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.668 * [backup-simplify]: Simplify (/ 1 1) into 1 12.669 * [backup-simplify]: Simplify (sqrt 1) into 1 12.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.670 * [backup-simplify]: Simplify (+ 0 0) into 0 12.671 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.672 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.672 * [taylor]: Taking taylor expansion of 1 in y 12.672 * [backup-simplify]: Simplify 1 into 1 12.672 * [backup-simplify]: Simplify 1 into 1 12.672 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 12.672 * [taylor]: Taking taylor expansion of -1/2 in y 12.672 * [backup-simplify]: Simplify -1/2 into -1/2 12.672 * [taylor]: Taking taylor expansion of y in y 12.672 * [backup-simplify]: Simplify 0 into 0 12.672 * [backup-simplify]: Simplify 1 into 1 12.673 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.673 * [backup-simplify]: Simplify 0 into 0 12.674 * [backup-simplify]: Simplify 0 into 0 12.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.675 * [backup-simplify]: Simplify (+ 0 0) into 0 12.676 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.678 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 12.678 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 12.678 * [taylor]: Taking taylor expansion of 3/8 in y 12.678 * [backup-simplify]: Simplify 3/8 into 3/8 12.678 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.678 * [taylor]: Taking taylor expansion of y in y 12.678 * [backup-simplify]: Simplify 0 into 0 12.678 * [backup-simplify]: Simplify 1 into 1 12.679 * [backup-simplify]: Simplify (* 1 1) into 1 12.679 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 12.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 12.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.683 * [backup-simplify]: Simplify 0 into 0 12.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.684 * [backup-simplify]: Simplify 0 into 0 12.684 * [backup-simplify]: Simplify 0 into 0 12.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.686 * [backup-simplify]: Simplify (+ 0 0) into 0 12.687 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 12.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 12.690 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 12.690 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 12.690 * [taylor]: Taking taylor expansion of -5/16 in y 12.690 * [backup-simplify]: Simplify -5/16 into -5/16 12.690 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.690 * [taylor]: Taking taylor expansion of y in y 12.690 * [backup-simplify]: Simplify 0 into 0 12.690 * [backup-simplify]: Simplify 1 into 1 12.691 * [backup-simplify]: Simplify (* 1 1) into 1 12.691 * [backup-simplify]: Simplify (* 1 1) into 1 12.691 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 12.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 12.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.700 * [backup-simplify]: Simplify 0 into 0 12.700 * [backup-simplify]: Simplify 1 into 1 12.700 * [backup-simplify]: Simplify (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y))))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 12.700 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 12.700 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 12.700 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.700 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.700 * [taylor]: Taking taylor expansion of x in y 12.700 * [backup-simplify]: Simplify x into x 12.700 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.700 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.700 * [taylor]: Taking taylor expansion of y in y 12.701 * [backup-simplify]: Simplify 0 into 0 12.701 * [backup-simplify]: Simplify 1 into 1 12.701 * [backup-simplify]: Simplify (/ 1 1) into 1 12.701 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.701 * [taylor]: Taking taylor expansion of x in y 12.701 * [backup-simplify]: Simplify x into x 12.701 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.702 * [backup-simplify]: Simplify (+ 1 0) into 1 12.702 * [backup-simplify]: Simplify (* x 1) into x 12.702 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.702 * [backup-simplify]: Simplify (sqrt 0) into 0 12.703 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 12.703 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.703 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.703 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.703 * [taylor]: Taking taylor expansion of x in x 12.703 * [backup-simplify]: Simplify 0 into 0 12.703 * [backup-simplify]: Simplify 1 into 1 12.703 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.703 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.703 * [taylor]: Taking taylor expansion of y in x 12.703 * [backup-simplify]: Simplify y into y 12.703 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.703 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.703 * [taylor]: Taking taylor expansion of x in x 12.703 * [backup-simplify]: Simplify 0 into 0 12.703 * [backup-simplify]: Simplify 1 into 1 12.704 * [backup-simplify]: Simplify (/ 1 1) into 1 12.704 * [backup-simplify]: Simplify (+ 0 1) into 1 12.704 * [backup-simplify]: Simplify (* 0 1) into 0 12.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.705 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.706 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.706 * [backup-simplify]: Simplify (/ 1 1) into 1 12.706 * [backup-simplify]: Simplify (sqrt 1) into 1 12.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.708 * [backup-simplify]: Simplify (+ 0 0) into 0 12.709 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.710 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.710 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.710 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.710 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.710 * [taylor]: Taking taylor expansion of x in x 12.710 * [backup-simplify]: Simplify 0 into 0 12.710 * [backup-simplify]: Simplify 1 into 1 12.710 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.710 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.710 * [taylor]: Taking taylor expansion of y in x 12.710 * [backup-simplify]: Simplify y into y 12.710 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.710 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.710 * [taylor]: Taking taylor expansion of x in x 12.710 * [backup-simplify]: Simplify 0 into 0 12.710 * [backup-simplify]: Simplify 1 into 1 12.710 * [backup-simplify]: Simplify (/ 1 1) into 1 12.711 * [backup-simplify]: Simplify (+ 0 1) into 1 12.711 * [backup-simplify]: Simplify (* 0 1) into 0 12.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.712 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.713 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.713 * [backup-simplify]: Simplify (/ 1 1) into 1 12.713 * [backup-simplify]: Simplify (sqrt 1) into 1 12.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.715 * [backup-simplify]: Simplify (+ 0 0) into 0 12.716 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.716 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.716 * [taylor]: Taking taylor expansion of 1 in y 12.716 * [backup-simplify]: Simplify 1 into 1 12.716 * [backup-simplify]: Simplify 1 into 1 12.716 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 12.716 * [taylor]: Taking taylor expansion of -1/2 in y 12.716 * [backup-simplify]: Simplify -1/2 into -1/2 12.716 * [taylor]: Taking taylor expansion of y in y 12.716 * [backup-simplify]: Simplify 0 into 0 12.716 * [backup-simplify]: Simplify 1 into 1 12.717 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.717 * [backup-simplify]: Simplify 0 into 0 12.717 * [backup-simplify]: Simplify 0 into 0 12.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.718 * [backup-simplify]: Simplify (+ 0 0) into 0 12.719 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.720 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 12.720 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 12.720 * [taylor]: Taking taylor expansion of 3/8 in y 12.720 * [backup-simplify]: Simplify 3/8 into 3/8 12.720 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.720 * [taylor]: Taking taylor expansion of y in y 12.720 * [backup-simplify]: Simplify 0 into 0 12.720 * [backup-simplify]: Simplify 1 into 1 12.720 * [backup-simplify]: Simplify (* 1 1) into 1 12.721 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 12.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 12.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.728 * [backup-simplify]: Simplify 0 into 0 12.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.729 * [backup-simplify]: Simplify 0 into 0 12.729 * [backup-simplify]: Simplify 0 into 0 12.729 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.730 * [backup-simplify]: Simplify (+ 0 0) into 0 12.731 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 12.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 12.733 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 12.733 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 12.733 * [taylor]: Taking taylor expansion of -5/16 in y 12.733 * [backup-simplify]: Simplify -5/16 into -5/16 12.733 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.733 * [taylor]: Taking taylor expansion of y in y 12.733 * [backup-simplify]: Simplify 0 into 0 12.733 * [backup-simplify]: Simplify 1 into 1 12.733 * [backup-simplify]: Simplify (* 1 1) into 1 12.733 * [backup-simplify]: Simplify (* 1 1) into 1 12.734 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 12.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 12.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.739 * [backup-simplify]: Simplify 0 into 0 12.739 * [backup-simplify]: Simplify 1 into 1 12.739 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 12.739 * [backup-simplify]: Simplify (sqrt (/ x (+ x y))) into (sqrt (/ x (+ x y))) 12.739 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 12.739 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 12.739 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 12.739 * [taylor]: Taking taylor expansion of x in y 12.739 * [backup-simplify]: Simplify x into x 12.739 * [taylor]: Taking taylor expansion of (+ x y) in y 12.739 * [taylor]: Taking taylor expansion of x in y 12.739 * [backup-simplify]: Simplify x into x 12.739 * [taylor]: Taking taylor expansion of y in y 12.739 * [backup-simplify]: Simplify 0 into 0 12.739 * [backup-simplify]: Simplify 1 into 1 12.739 * [backup-simplify]: Simplify (+ x 0) into x 12.739 * [backup-simplify]: Simplify (/ x x) into 1 12.740 * [backup-simplify]: Simplify (sqrt 1) into 1 12.740 * [backup-simplify]: Simplify (+ 0 1) into 1 12.740 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 1 x)))) into (- (/ 1 x)) 12.740 * [backup-simplify]: Simplify (/ (- (/ 1 x)) (* 2 (sqrt 1))) into (/ -1/2 x) 12.740 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 12.740 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.740 * [taylor]: Taking taylor expansion of x in x 12.740 * [backup-simplify]: Simplify 0 into 0 12.740 * [backup-simplify]: Simplify 1 into 1 12.740 * [taylor]: Taking taylor expansion of (+ x y) in x 12.740 * [taylor]: Taking taylor expansion of x in x 12.740 * [backup-simplify]: Simplify 0 into 0 12.741 * [backup-simplify]: Simplify 1 into 1 12.741 * [taylor]: Taking taylor expansion of y in x 12.741 * [backup-simplify]: Simplify y into y 12.741 * [backup-simplify]: Simplify (+ 0 y) into y 12.741 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.741 * [backup-simplify]: Simplify (sqrt 0) into 0 12.741 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 12.741 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 12.741 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.741 * [taylor]: Taking taylor expansion of x in x 12.741 * [backup-simplify]: Simplify 0 into 0 12.741 * [backup-simplify]: Simplify 1 into 1 12.741 * [taylor]: Taking taylor expansion of (+ x y) in x 12.741 * [taylor]: Taking taylor expansion of x in x 12.741 * [backup-simplify]: Simplify 0 into 0 12.741 * [backup-simplify]: Simplify 1 into 1 12.741 * [taylor]: Taking taylor expansion of y in x 12.741 * [backup-simplify]: Simplify y into y 12.741 * [backup-simplify]: Simplify (+ 0 y) into y 12.742 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.742 * [backup-simplify]: Simplify (sqrt 0) into 0 12.742 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 12.742 * [taylor]: Taking taylor expansion of 0 in y 12.742 * [backup-simplify]: Simplify 0 into 0 12.742 * [backup-simplify]: Simplify 0 into 0 12.742 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 12.742 * [taylor]: Taking taylor expansion of +nan.0 in y 12.742 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.742 * [taylor]: Taking taylor expansion of y in y 12.742 * [backup-simplify]: Simplify 0 into 0 12.742 * [backup-simplify]: Simplify 1 into 1 12.743 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 12.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 12.743 * [backup-simplify]: Simplify 0 into 0 12.743 * [backup-simplify]: Simplify 0 into 0 12.743 * [backup-simplify]: Simplify (+ 1 0) into 1 12.744 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 12.745 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 2))) (pow (/ +nan.0 y) 2) (+)) (* 2 0)) into (/ +nan.0 (pow y 2)) 12.745 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 12.745 * [taylor]: Taking taylor expansion of +nan.0 in y 12.745 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.745 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.745 * [taylor]: Taking taylor expansion of y in y 12.745 * [backup-simplify]: Simplify 0 into 0 12.745 * [backup-simplify]: Simplify 1 into 1 12.745 * [backup-simplify]: Simplify (* 1 1) into 1 12.746 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 12.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 12.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.749 * [backup-simplify]: Simplify 0 into 0 12.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.750 * [backup-simplify]: Simplify 0 into 0 12.750 * [backup-simplify]: Simplify 0 into 0 12.751 * [backup-simplify]: Simplify 0 into 0 12.751 * [backup-simplify]: Simplify (sqrt (/ (/ 1 x) (+ (/ 1 x) (/ 1 y)))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 12.751 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 12.751 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 12.751 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.751 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.751 * [taylor]: Taking taylor expansion of x in y 12.751 * [backup-simplify]: Simplify x into x 12.751 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.751 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.751 * [taylor]: Taking taylor expansion of y in y 12.751 * [backup-simplify]: Simplify 0 into 0 12.751 * [backup-simplify]: Simplify 1 into 1 12.752 * [backup-simplify]: Simplify (/ 1 1) into 1 12.752 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.752 * [taylor]: Taking taylor expansion of x in y 12.752 * [backup-simplify]: Simplify x into x 12.752 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.752 * [backup-simplify]: Simplify (+ 1 0) into 1 12.752 * [backup-simplify]: Simplify (* x 1) into x 12.752 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.753 * [backup-simplify]: Simplify (sqrt 0) into 0 12.753 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 12.753 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.753 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.753 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.753 * [taylor]: Taking taylor expansion of x in x 12.753 * [backup-simplify]: Simplify 0 into 0 12.753 * [backup-simplify]: Simplify 1 into 1 12.753 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.753 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.754 * [taylor]: Taking taylor expansion of y in x 12.754 * [backup-simplify]: Simplify y into y 12.754 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.754 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.754 * [taylor]: Taking taylor expansion of x in x 12.754 * [backup-simplify]: Simplify 0 into 0 12.754 * [backup-simplify]: Simplify 1 into 1 12.754 * [backup-simplify]: Simplify (/ 1 1) into 1 12.755 * [backup-simplify]: Simplify (+ 0 1) into 1 12.755 * [backup-simplify]: Simplify (* 0 1) into 0 12.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.756 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.756 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.757 * [backup-simplify]: Simplify (/ 1 1) into 1 12.757 * [backup-simplify]: Simplify (sqrt 1) into 1 12.757 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.758 * [backup-simplify]: Simplify (+ 0 0) into 0 12.759 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.760 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.760 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.760 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.760 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.760 * [taylor]: Taking taylor expansion of x in x 12.760 * [backup-simplify]: Simplify 0 into 0 12.760 * [backup-simplify]: Simplify 1 into 1 12.760 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.760 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.760 * [taylor]: Taking taylor expansion of y in x 12.761 * [backup-simplify]: Simplify y into y 12.761 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.761 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.761 * [taylor]: Taking taylor expansion of x in x 12.761 * [backup-simplify]: Simplify 0 into 0 12.761 * [backup-simplify]: Simplify 1 into 1 12.761 * [backup-simplify]: Simplify (/ 1 1) into 1 12.761 * [backup-simplify]: Simplify (+ 0 1) into 1 12.762 * [backup-simplify]: Simplify (* 0 1) into 0 12.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.763 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.763 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.764 * [backup-simplify]: Simplify (/ 1 1) into 1 12.764 * [backup-simplify]: Simplify (sqrt 1) into 1 12.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.765 * [backup-simplify]: Simplify (+ 0 0) into 0 12.766 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.767 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.767 * [taylor]: Taking taylor expansion of 1 in y 12.767 * [backup-simplify]: Simplify 1 into 1 12.767 * [backup-simplify]: Simplify 1 into 1 12.767 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 12.767 * [taylor]: Taking taylor expansion of -1/2 in y 12.767 * [backup-simplify]: Simplify -1/2 into -1/2 12.767 * [taylor]: Taking taylor expansion of y in y 12.767 * [backup-simplify]: Simplify 0 into 0 12.768 * [backup-simplify]: Simplify 1 into 1 12.768 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.769 * [backup-simplify]: Simplify 0 into 0 12.769 * [backup-simplify]: Simplify 0 into 0 12.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.770 * [backup-simplify]: Simplify (+ 0 0) into 0 12.772 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.774 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 12.774 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 12.774 * [taylor]: Taking taylor expansion of 3/8 in y 12.774 * [backup-simplify]: Simplify 3/8 into 3/8 12.774 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.774 * [taylor]: Taking taylor expansion of y in y 12.774 * [backup-simplify]: Simplify 0 into 0 12.774 * [backup-simplify]: Simplify 1 into 1 12.774 * [backup-simplify]: Simplify (* 1 1) into 1 12.775 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 12.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 12.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.777 * [backup-simplify]: Simplify 0 into 0 12.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.778 * [backup-simplify]: Simplify 0 into 0 12.778 * [backup-simplify]: Simplify 0 into 0 12.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.779 * [backup-simplify]: Simplify (+ 0 0) into 0 12.780 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 12.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 12.782 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 12.782 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 12.782 * [taylor]: Taking taylor expansion of -5/16 in y 12.782 * [backup-simplify]: Simplify -5/16 into -5/16 12.782 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.782 * [taylor]: Taking taylor expansion of y in y 12.782 * [backup-simplify]: Simplify 0 into 0 12.782 * [backup-simplify]: Simplify 1 into 1 12.782 * [backup-simplify]: Simplify (* 1 1) into 1 12.782 * [backup-simplify]: Simplify (* 1 1) into 1 12.783 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 12.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 12.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.788 * [backup-simplify]: Simplify 0 into 0 12.788 * [backup-simplify]: Simplify 1 into 1 12.788 * [backup-simplify]: Simplify (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y))))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 12.788 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 12.788 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 12.788 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.788 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.788 * [taylor]: Taking taylor expansion of x in y 12.788 * [backup-simplify]: Simplify x into x 12.788 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.788 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.788 * [taylor]: Taking taylor expansion of y in y 12.788 * [backup-simplify]: Simplify 0 into 0 12.788 * [backup-simplify]: Simplify 1 into 1 12.788 * [backup-simplify]: Simplify (/ 1 1) into 1 12.788 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.788 * [taylor]: Taking taylor expansion of x in y 12.788 * [backup-simplify]: Simplify x into x 12.788 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.789 * [backup-simplify]: Simplify (+ 1 0) into 1 12.789 * [backup-simplify]: Simplify (* x 1) into x 12.789 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.789 * [backup-simplify]: Simplify (sqrt 0) into 0 12.789 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 12.790 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.790 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.790 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.790 * [taylor]: Taking taylor expansion of x in x 12.790 * [backup-simplify]: Simplify 0 into 0 12.790 * [backup-simplify]: Simplify 1 into 1 12.790 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.790 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.790 * [taylor]: Taking taylor expansion of y in x 12.790 * [backup-simplify]: Simplify y into y 12.790 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.790 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.790 * [taylor]: Taking taylor expansion of x in x 12.790 * [backup-simplify]: Simplify 0 into 0 12.790 * [backup-simplify]: Simplify 1 into 1 12.790 * [backup-simplify]: Simplify (/ 1 1) into 1 12.790 * [backup-simplify]: Simplify (+ 0 1) into 1 12.791 * [backup-simplify]: Simplify (* 0 1) into 0 12.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.791 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.792 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.792 * [backup-simplify]: Simplify (/ 1 1) into 1 12.792 * [backup-simplify]: Simplify (sqrt 1) into 1 12.792 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.793 * [backup-simplify]: Simplify (+ 0 0) into 0 12.793 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.794 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.794 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.794 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.794 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.794 * [taylor]: Taking taylor expansion of x in x 12.794 * [backup-simplify]: Simplify 0 into 0 12.794 * [backup-simplify]: Simplify 1 into 1 12.794 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.794 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.794 * [taylor]: Taking taylor expansion of y in x 12.794 * [backup-simplify]: Simplify y into y 12.794 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.794 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.794 * [taylor]: Taking taylor expansion of x in x 12.794 * [backup-simplify]: Simplify 0 into 0 12.794 * [backup-simplify]: Simplify 1 into 1 12.794 * [backup-simplify]: Simplify (/ 1 1) into 1 12.795 * [backup-simplify]: Simplify (+ 0 1) into 1 12.795 * [backup-simplify]: Simplify (* 0 1) into 0 12.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.795 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.796 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.796 * [backup-simplify]: Simplify (/ 1 1) into 1 12.796 * [backup-simplify]: Simplify (sqrt 1) into 1 12.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.797 * [backup-simplify]: Simplify (+ 0 0) into 0 12.798 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.798 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.798 * [taylor]: Taking taylor expansion of 1 in y 12.798 * [backup-simplify]: Simplify 1 into 1 12.798 * [backup-simplify]: Simplify 1 into 1 12.798 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 12.798 * [taylor]: Taking taylor expansion of -1/2 in y 12.798 * [backup-simplify]: Simplify -1/2 into -1/2 12.798 * [taylor]: Taking taylor expansion of y in y 12.798 * [backup-simplify]: Simplify 0 into 0 12.798 * [backup-simplify]: Simplify 1 into 1 12.799 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.799 * [backup-simplify]: Simplify 0 into 0 12.799 * [backup-simplify]: Simplify 0 into 0 12.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.800 * [backup-simplify]: Simplify (+ 0 0) into 0 12.801 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.802 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 12.802 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 12.802 * [taylor]: Taking taylor expansion of 3/8 in y 12.802 * [backup-simplify]: Simplify 3/8 into 3/8 12.802 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.802 * [taylor]: Taking taylor expansion of y in y 12.802 * [backup-simplify]: Simplify 0 into 0 12.802 * [backup-simplify]: Simplify 1 into 1 12.802 * [backup-simplify]: Simplify (* 1 1) into 1 12.803 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 12.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 12.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.805 * [backup-simplify]: Simplify 0 into 0 12.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.806 * [backup-simplify]: Simplify 0 into 0 12.807 * [backup-simplify]: Simplify 0 into 0 12.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.808 * [backup-simplify]: Simplify (+ 0 0) into 0 12.810 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 12.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 12.813 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 12.813 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 12.813 * [taylor]: Taking taylor expansion of -5/16 in y 12.813 * [backup-simplify]: Simplify -5/16 into -5/16 12.813 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.813 * [taylor]: Taking taylor expansion of y in y 12.813 * [backup-simplify]: Simplify 0 into 0 12.813 * [backup-simplify]: Simplify 1 into 1 12.814 * [backup-simplify]: Simplify (* 1 1) into 1 12.814 * [backup-simplify]: Simplify (* 1 1) into 1 12.814 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 12.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 12.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.823 * [backup-simplify]: Simplify 0 into 0 12.823 * [backup-simplify]: Simplify 1 into 1 12.823 * * * * [progress]: [ 3 / 4 ] generating series at (2) 12.823 * [backup-simplify]: Simplify (* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y)))) into (/ x (+ x y)) 12.823 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 12.823 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 12.823 * [taylor]: Taking taylor expansion of x in y 12.823 * [backup-simplify]: Simplify x into x 12.823 * [taylor]: Taking taylor expansion of (+ x y) in y 12.823 * [taylor]: Taking taylor expansion of x in y 12.823 * [backup-simplify]: Simplify x into x 12.823 * [taylor]: Taking taylor expansion of y in y 12.823 * [backup-simplify]: Simplify 0 into 0 12.823 * [backup-simplify]: Simplify 1 into 1 12.824 * [backup-simplify]: Simplify (+ x 0) into x 12.824 * [backup-simplify]: Simplify (/ x x) into 1 12.824 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.824 * [taylor]: Taking taylor expansion of x in x 12.824 * [backup-simplify]: Simplify 0 into 0 12.824 * [backup-simplify]: Simplify 1 into 1 12.824 * [taylor]: Taking taylor expansion of (+ x y) in x 12.824 * [taylor]: Taking taylor expansion of x in x 12.824 * [backup-simplify]: Simplify 0 into 0 12.824 * [backup-simplify]: Simplify 1 into 1 12.824 * [taylor]: Taking taylor expansion of y in x 12.824 * [backup-simplify]: Simplify y into y 12.824 * [backup-simplify]: Simplify (+ 0 y) into y 12.824 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.824 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.824 * [taylor]: Taking taylor expansion of x in x 12.824 * [backup-simplify]: Simplify 0 into 0 12.824 * [backup-simplify]: Simplify 1 into 1 12.824 * [taylor]: Taking taylor expansion of (+ x y) in x 12.824 * [taylor]: Taking taylor expansion of x in x 12.824 * [backup-simplify]: Simplify 0 into 0 12.824 * [backup-simplify]: Simplify 1 into 1 12.824 * [taylor]: Taking taylor expansion of y in x 12.824 * [backup-simplify]: Simplify y into y 12.824 * [backup-simplify]: Simplify (+ 0 y) into y 12.824 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.824 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.824 * [taylor]: Taking taylor expansion of y in y 12.825 * [backup-simplify]: Simplify 0 into 0 12.825 * [backup-simplify]: Simplify 1 into 1 12.825 * [backup-simplify]: Simplify (/ 1 1) into 1 12.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.826 * [backup-simplify]: Simplify 0 into 0 12.826 * [backup-simplify]: Simplify (+ 1 0) into 1 12.827 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 12.827 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 12.827 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.827 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.827 * [taylor]: Taking taylor expansion of y in y 12.827 * [backup-simplify]: Simplify 0 into 0 12.827 * [backup-simplify]: Simplify 1 into 1 12.827 * [backup-simplify]: Simplify (* 1 1) into 1 12.827 * [backup-simplify]: Simplify (/ 1 1) into 1 12.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.830 * [backup-simplify]: Simplify (- 0) into 0 12.830 * [backup-simplify]: Simplify 0 into 0 12.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.830 * [backup-simplify]: Simplify 0 into 0 12.831 * [backup-simplify]: Simplify (+ 0 0) into 0 12.831 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 12.831 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 12.831 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.831 * [taylor]: Taking taylor expansion of y in y 12.831 * [backup-simplify]: Simplify 0 into 0 12.831 * [backup-simplify]: Simplify 1 into 1 12.831 * [backup-simplify]: Simplify (* 1 1) into 1 12.832 * [backup-simplify]: Simplify (* 1 1) into 1 12.832 * [backup-simplify]: Simplify (/ 1 1) into 1 12.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.836 * [backup-simplify]: Simplify 0 into 0 12.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.838 * [backup-simplify]: Simplify (- 0) into 0 12.838 * [backup-simplify]: Simplify 0 into 0 12.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.838 * [backup-simplify]: Simplify 0 into 0 12.838 * [backup-simplify]: Simplify 0 into 0 12.838 * [backup-simplify]: Simplify (* (sqrt (/ (/ 1 x) (+ (/ 1 x) (/ 1 y)))) (sqrt (/ (/ 1 x) (+ (/ 1 x) (/ 1 y))))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 12.838 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 12.838 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.839 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.839 * [taylor]: Taking taylor expansion of x in y 12.839 * [backup-simplify]: Simplify x into x 12.839 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.839 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.839 * [taylor]: Taking taylor expansion of y in y 12.839 * [backup-simplify]: Simplify 0 into 0 12.839 * [backup-simplify]: Simplify 1 into 1 12.839 * [backup-simplify]: Simplify (/ 1 1) into 1 12.839 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.839 * [taylor]: Taking taylor expansion of x in y 12.839 * [backup-simplify]: Simplify x into x 12.839 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.839 * [backup-simplify]: Simplify (+ 1 0) into 1 12.839 * [backup-simplify]: Simplify (* x 1) into x 12.839 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.839 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.839 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.839 * [taylor]: Taking taylor expansion of x in x 12.839 * [backup-simplify]: Simplify 0 into 0 12.839 * [backup-simplify]: Simplify 1 into 1 12.839 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.839 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.839 * [taylor]: Taking taylor expansion of y in x 12.840 * [backup-simplify]: Simplify y into y 12.840 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.840 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.840 * [taylor]: Taking taylor expansion of x in x 12.840 * [backup-simplify]: Simplify 0 into 0 12.840 * [backup-simplify]: Simplify 1 into 1 12.840 * [backup-simplify]: Simplify (/ 1 1) into 1 12.840 * [backup-simplify]: Simplify (+ 0 1) into 1 12.846 * [backup-simplify]: Simplify (* 0 1) into 0 12.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.847 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.847 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.847 * [backup-simplify]: Simplify (/ 1 1) into 1 12.847 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.847 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.847 * [taylor]: Taking taylor expansion of x in x 12.847 * [backup-simplify]: Simplify 0 into 0 12.847 * [backup-simplify]: Simplify 1 into 1 12.847 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.847 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.847 * [taylor]: Taking taylor expansion of y in x 12.847 * [backup-simplify]: Simplify y into y 12.847 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.847 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.847 * [taylor]: Taking taylor expansion of x in x 12.847 * [backup-simplify]: Simplify 0 into 0 12.847 * [backup-simplify]: Simplify 1 into 1 12.848 * [backup-simplify]: Simplify (/ 1 1) into 1 12.848 * [backup-simplify]: Simplify (+ 0 1) into 1 12.848 * [backup-simplify]: Simplify (* 0 1) into 0 12.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.849 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.849 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.849 * [backup-simplify]: Simplify (/ 1 1) into 1 12.849 * [taylor]: Taking taylor expansion of 1 in y 12.849 * [backup-simplify]: Simplify 1 into 1 12.849 * [backup-simplify]: Simplify 0 into 0 12.850 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.850 * [backup-simplify]: Simplify (+ 0 0) into 0 12.851 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.851 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 12.851 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.851 * [taylor]: Taking taylor expansion of y in y 12.851 * [backup-simplify]: Simplify 0 into 0 12.851 * [backup-simplify]: Simplify 1 into 1 12.851 * [backup-simplify]: Simplify (/ 1 1) into 1 12.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.852 * [backup-simplify]: Simplify (- 0) into 0 12.852 * [backup-simplify]: Simplify 0 into 0 12.853 * [backup-simplify]: Simplify 0 into 0 12.853 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.853 * [backup-simplify]: Simplify (+ 0 0) into 0 12.854 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.855 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.855 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.855 * [taylor]: Taking taylor expansion of y in y 12.855 * [backup-simplify]: Simplify 0 into 0 12.855 * [backup-simplify]: Simplify 1 into 1 12.855 * [backup-simplify]: Simplify (* 1 1) into 1 12.855 * [backup-simplify]: Simplify (/ 1 1) into 1 12.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.857 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.860 * [backup-simplify]: Simplify 0 into 0 12.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.861 * [backup-simplify]: Simplify (- 0) into 0 12.862 * [backup-simplify]: Simplify 0 into 0 12.862 * [backup-simplify]: Simplify 0 into 0 12.862 * [backup-simplify]: Simplify 0 into 0 12.862 * [backup-simplify]: Simplify (* (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y))))) (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y)))))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 12.862 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 12.862 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.862 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.862 * [taylor]: Taking taylor expansion of x in y 12.862 * [backup-simplify]: Simplify x into x 12.862 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.863 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.863 * [taylor]: Taking taylor expansion of y in y 12.863 * [backup-simplify]: Simplify 0 into 0 12.863 * [backup-simplify]: Simplify 1 into 1 12.863 * [backup-simplify]: Simplify (/ 1 1) into 1 12.863 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.863 * [taylor]: Taking taylor expansion of x in y 12.863 * [backup-simplify]: Simplify x into x 12.863 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.864 * [backup-simplify]: Simplify (+ 1 0) into 1 12.864 * [backup-simplify]: Simplify (* x 1) into x 12.864 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.864 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.864 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.864 * [taylor]: Taking taylor expansion of x in x 12.864 * [backup-simplify]: Simplify 0 into 0 12.864 * [backup-simplify]: Simplify 1 into 1 12.864 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.864 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.864 * [taylor]: Taking taylor expansion of y in x 12.864 * [backup-simplify]: Simplify y into y 12.864 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.864 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.864 * [taylor]: Taking taylor expansion of x in x 12.864 * [backup-simplify]: Simplify 0 into 0 12.864 * [backup-simplify]: Simplify 1 into 1 12.865 * [backup-simplify]: Simplify (/ 1 1) into 1 12.865 * [backup-simplify]: Simplify (+ 0 1) into 1 12.865 * [backup-simplify]: Simplify (* 0 1) into 0 12.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.866 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.867 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.867 * [backup-simplify]: Simplify (/ 1 1) into 1 12.867 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.867 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.867 * [taylor]: Taking taylor expansion of x in x 12.867 * [backup-simplify]: Simplify 0 into 0 12.867 * [backup-simplify]: Simplify 1 into 1 12.867 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.867 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.867 * [taylor]: Taking taylor expansion of y in x 12.867 * [backup-simplify]: Simplify y into y 12.867 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.867 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.867 * [taylor]: Taking taylor expansion of x in x 12.868 * [backup-simplify]: Simplify 0 into 0 12.868 * [backup-simplify]: Simplify 1 into 1 12.868 * [backup-simplify]: Simplify (/ 1 1) into 1 12.868 * [backup-simplify]: Simplify (+ 0 1) into 1 12.869 * [backup-simplify]: Simplify (* 0 1) into 0 12.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.870 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.870 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.871 * [backup-simplify]: Simplify (/ 1 1) into 1 12.871 * [taylor]: Taking taylor expansion of 1 in y 12.871 * [backup-simplify]: Simplify 1 into 1 12.871 * [backup-simplify]: Simplify 0 into 0 12.871 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.872 * [backup-simplify]: Simplify (+ 0 0) into 0 12.873 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.873 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 12.873 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.873 * [taylor]: Taking taylor expansion of y in y 12.873 * [backup-simplify]: Simplify 0 into 0 12.873 * [backup-simplify]: Simplify 1 into 1 12.874 * [backup-simplify]: Simplify (/ 1 1) into 1 12.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.876 * [backup-simplify]: Simplify (- 0) into 0 12.876 * [backup-simplify]: Simplify 0 into 0 12.876 * [backup-simplify]: Simplify 0 into 0 12.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.878 * [backup-simplify]: Simplify (+ 0 0) into 0 12.879 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.880 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.880 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.880 * [taylor]: Taking taylor expansion of y in y 12.880 * [backup-simplify]: Simplify 0 into 0 12.880 * [backup-simplify]: Simplify 1 into 1 12.881 * [backup-simplify]: Simplify (* 1 1) into 1 12.881 * [backup-simplify]: Simplify (/ 1 1) into 1 12.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.885 * [backup-simplify]: Simplify 0 into 0 12.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.886 * [backup-simplify]: Simplify (- 0) into 0 12.886 * [backup-simplify]: Simplify 0 into 0 12.886 * [backup-simplify]: Simplify 0 into 0 12.886 * [backup-simplify]: Simplify 0 into 0 12.886 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 12.886 * [backup-simplify]: Simplify (/ x (+ x y)) into (/ x (+ x y)) 12.886 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 12.886 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 12.886 * [taylor]: Taking taylor expansion of x in y 12.886 * [backup-simplify]: Simplify x into x 12.886 * [taylor]: Taking taylor expansion of (+ x y) in y 12.886 * [taylor]: Taking taylor expansion of x in y 12.886 * [backup-simplify]: Simplify x into x 12.886 * [taylor]: Taking taylor expansion of y in y 12.886 * [backup-simplify]: Simplify 0 into 0 12.886 * [backup-simplify]: Simplify 1 into 1 12.886 * [backup-simplify]: Simplify (+ x 0) into x 12.886 * [backup-simplify]: Simplify (/ x x) into 1 12.886 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.886 * [taylor]: Taking taylor expansion of x in x 12.886 * [backup-simplify]: Simplify 0 into 0 12.886 * [backup-simplify]: Simplify 1 into 1 12.886 * [taylor]: Taking taylor expansion of (+ x y) in x 12.886 * [taylor]: Taking taylor expansion of x in x 12.886 * [backup-simplify]: Simplify 0 into 0 12.886 * [backup-simplify]: Simplify 1 into 1 12.886 * [taylor]: Taking taylor expansion of y in x 12.887 * [backup-simplify]: Simplify y into y 12.887 * [backup-simplify]: Simplify (+ 0 y) into y 12.887 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.887 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.887 * [taylor]: Taking taylor expansion of x in x 12.887 * [backup-simplify]: Simplify 0 into 0 12.887 * [backup-simplify]: Simplify 1 into 1 12.887 * [taylor]: Taking taylor expansion of (+ x y) in x 12.887 * [taylor]: Taking taylor expansion of x in x 12.887 * [backup-simplify]: Simplify 0 into 0 12.887 * [backup-simplify]: Simplify 1 into 1 12.887 * [taylor]: Taking taylor expansion of y in x 12.887 * [backup-simplify]: Simplify y into y 12.887 * [backup-simplify]: Simplify (+ 0 y) into y 12.887 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.887 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.887 * [taylor]: Taking taylor expansion of y in y 12.887 * [backup-simplify]: Simplify 0 into 0 12.887 * [backup-simplify]: Simplify 1 into 1 12.887 * [backup-simplify]: Simplify (/ 1 1) into 1 12.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.888 * [backup-simplify]: Simplify 0 into 0 12.888 * [backup-simplify]: Simplify (+ 1 0) into 1 12.888 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 12.888 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 12.888 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.888 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.888 * [taylor]: Taking taylor expansion of y in y 12.888 * [backup-simplify]: Simplify 0 into 0 12.888 * [backup-simplify]: Simplify 1 into 1 12.888 * [backup-simplify]: Simplify (* 1 1) into 1 12.889 * [backup-simplify]: Simplify (/ 1 1) into 1 12.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.891 * [backup-simplify]: Simplify (- 0) into 0 12.891 * [backup-simplify]: Simplify 0 into 0 12.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.891 * [backup-simplify]: Simplify 0 into 0 12.892 * [backup-simplify]: Simplify (+ 0 0) into 0 12.892 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 12.892 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 12.892 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.892 * [taylor]: Taking taylor expansion of y in y 12.892 * [backup-simplify]: Simplify 0 into 0 12.892 * [backup-simplify]: Simplify 1 into 1 12.892 * [backup-simplify]: Simplify (* 1 1) into 1 12.892 * [backup-simplify]: Simplify (* 1 1) into 1 12.893 * [backup-simplify]: Simplify (/ 1 1) into 1 12.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.897 * [backup-simplify]: Simplify 0 into 0 12.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.898 * [backup-simplify]: Simplify (- 0) into 0 12.898 * [backup-simplify]: Simplify 0 into 0 12.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.899 * [backup-simplify]: Simplify 0 into 0 12.899 * [backup-simplify]: Simplify 0 into 0 12.899 * [backup-simplify]: Simplify (/ (/ 1 x) (+ (/ 1 x) (/ 1 y))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 12.899 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 12.899 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.899 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.899 * [taylor]: Taking taylor expansion of x in y 12.899 * [backup-simplify]: Simplify x into x 12.899 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.899 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.899 * [taylor]: Taking taylor expansion of y in y 12.899 * [backup-simplify]: Simplify 0 into 0 12.899 * [backup-simplify]: Simplify 1 into 1 12.900 * [backup-simplify]: Simplify (/ 1 1) into 1 12.900 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.900 * [taylor]: Taking taylor expansion of x in y 12.900 * [backup-simplify]: Simplify x into x 12.900 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.900 * [backup-simplify]: Simplify (+ 1 0) into 1 12.900 * [backup-simplify]: Simplify (* x 1) into x 12.900 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.900 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.900 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.900 * [taylor]: Taking taylor expansion of x in x 12.900 * [backup-simplify]: Simplify 0 into 0 12.900 * [backup-simplify]: Simplify 1 into 1 12.900 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.900 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.900 * [taylor]: Taking taylor expansion of y in x 12.900 * [backup-simplify]: Simplify y into y 12.900 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.900 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.900 * [taylor]: Taking taylor expansion of x in x 12.900 * [backup-simplify]: Simplify 0 into 0 12.900 * [backup-simplify]: Simplify 1 into 1 12.901 * [backup-simplify]: Simplify (/ 1 1) into 1 12.901 * [backup-simplify]: Simplify (+ 0 1) into 1 12.901 * [backup-simplify]: Simplify (* 0 1) into 0 12.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.902 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.902 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.902 * [backup-simplify]: Simplify (/ 1 1) into 1 12.902 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.902 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.902 * [taylor]: Taking taylor expansion of x in x 12.902 * [backup-simplify]: Simplify 0 into 0 12.902 * [backup-simplify]: Simplify 1 into 1 12.902 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.902 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.902 * [taylor]: Taking taylor expansion of y in x 12.902 * [backup-simplify]: Simplify y into y 12.902 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.902 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.902 * [taylor]: Taking taylor expansion of x in x 12.902 * [backup-simplify]: Simplify 0 into 0 12.902 * [backup-simplify]: Simplify 1 into 1 12.903 * [backup-simplify]: Simplify (/ 1 1) into 1 12.903 * [backup-simplify]: Simplify (+ 0 1) into 1 12.903 * [backup-simplify]: Simplify (* 0 1) into 0 12.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.904 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.904 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.904 * [backup-simplify]: Simplify (/ 1 1) into 1 12.904 * [taylor]: Taking taylor expansion of 1 in y 12.904 * [backup-simplify]: Simplify 1 into 1 12.904 * [backup-simplify]: Simplify 0 into 0 12.904 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.905 * [backup-simplify]: Simplify (+ 0 0) into 0 12.906 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.906 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 12.906 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.906 * [taylor]: Taking taylor expansion of y in y 12.906 * [backup-simplify]: Simplify 0 into 0 12.906 * [backup-simplify]: Simplify 1 into 1 12.906 * [backup-simplify]: Simplify (/ 1 1) into 1 12.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.907 * [backup-simplify]: Simplify (- 0) into 0 12.907 * [backup-simplify]: Simplify 0 into 0 12.907 * [backup-simplify]: Simplify 0 into 0 12.907 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.908 * [backup-simplify]: Simplify (+ 0 0) into 0 12.909 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.909 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.909 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.909 * [taylor]: Taking taylor expansion of y in y 12.909 * [backup-simplify]: Simplify 0 into 0 12.910 * [backup-simplify]: Simplify 1 into 1 12.910 * [backup-simplify]: Simplify (* 1 1) into 1 12.910 * [backup-simplify]: Simplify (/ 1 1) into 1 12.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.914 * [backup-simplify]: Simplify 0 into 0 12.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.915 * [backup-simplify]: Simplify (- 0) into 0 12.915 * [backup-simplify]: Simplify 0 into 0 12.915 * [backup-simplify]: Simplify 0 into 0 12.916 * [backup-simplify]: Simplify 0 into 0 12.916 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 12.916 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 12.916 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.916 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.916 * [taylor]: Taking taylor expansion of x in y 12.916 * [backup-simplify]: Simplify x into x 12.916 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.916 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.916 * [taylor]: Taking taylor expansion of y in y 12.916 * [backup-simplify]: Simplify 0 into 0 12.916 * [backup-simplify]: Simplify 1 into 1 12.917 * [backup-simplify]: Simplify (/ 1 1) into 1 12.917 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.917 * [taylor]: Taking taylor expansion of x in y 12.917 * [backup-simplify]: Simplify x into x 12.917 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.917 * [backup-simplify]: Simplify (+ 1 0) into 1 12.917 * [backup-simplify]: Simplify (* x 1) into x 12.917 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.917 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.917 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.917 * [taylor]: Taking taylor expansion of x in x 12.917 * [backup-simplify]: Simplify 0 into 0 12.917 * [backup-simplify]: Simplify 1 into 1 12.917 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.918 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.918 * [taylor]: Taking taylor expansion of y in x 12.918 * [backup-simplify]: Simplify y into y 12.918 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.918 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.918 * [taylor]: Taking taylor expansion of x in x 12.918 * [backup-simplify]: Simplify 0 into 0 12.918 * [backup-simplify]: Simplify 1 into 1 12.918 * [backup-simplify]: Simplify (/ 1 1) into 1 12.919 * [backup-simplify]: Simplify (+ 0 1) into 1 12.919 * [backup-simplify]: Simplify (* 0 1) into 0 12.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.920 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.920 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.921 * [backup-simplify]: Simplify (/ 1 1) into 1 12.921 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.921 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.921 * [taylor]: Taking taylor expansion of x in x 12.921 * [backup-simplify]: Simplify 0 into 0 12.921 * [backup-simplify]: Simplify 1 into 1 12.921 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.921 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.921 * [taylor]: Taking taylor expansion of y in x 12.921 * [backup-simplify]: Simplify y into y 12.921 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.921 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.921 * [taylor]: Taking taylor expansion of x in x 12.921 * [backup-simplify]: Simplify 0 into 0 12.921 * [backup-simplify]: Simplify 1 into 1 12.922 * [backup-simplify]: Simplify (/ 1 1) into 1 12.922 * [backup-simplify]: Simplify (+ 0 1) into 1 12.922 * [backup-simplify]: Simplify (* 0 1) into 0 12.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.923 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.924 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.924 * [backup-simplify]: Simplify (/ 1 1) into 1 12.924 * [taylor]: Taking taylor expansion of 1 in y 12.924 * [backup-simplify]: Simplify 1 into 1 12.924 * [backup-simplify]: Simplify 0 into 0 12.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.926 * [backup-simplify]: Simplify (+ 0 0) into 0 12.927 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.927 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 12.927 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.927 * [taylor]: Taking taylor expansion of y in y 12.927 * [backup-simplify]: Simplify 0 into 0 12.927 * [backup-simplify]: Simplify 1 into 1 12.928 * [backup-simplify]: Simplify (/ 1 1) into 1 12.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.930 * [backup-simplify]: Simplify (- 0) into 0 12.930 * [backup-simplify]: Simplify 0 into 0 12.930 * [backup-simplify]: Simplify 0 into 0 12.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.932 * [backup-simplify]: Simplify (+ 0 0) into 0 12.933 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.934 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.934 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.934 * [taylor]: Taking taylor expansion of y in y 12.934 * [backup-simplify]: Simplify 0 into 0 12.934 * [backup-simplify]: Simplify 1 into 1 12.934 * [backup-simplify]: Simplify (* 1 1) into 1 12.935 * [backup-simplify]: Simplify (/ 1 1) into 1 12.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.940 * [backup-simplify]: Simplify 0 into 0 12.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.941 * [backup-simplify]: Simplify (- 0) into 0 12.941 * [backup-simplify]: Simplify 0 into 0 12.941 * [backup-simplify]: Simplify 0 into 0 12.941 * [backup-simplify]: Simplify 0 into 0 12.941 * * * [progress]: simplifying candidates 12.948 * [simplify]: Simplifying: (expm1 (sqrt (/ x (+ x y)))) (log1p (sqrt (/ x (+ x y)))) (log (sqrt (/ x (+ x y)))) (exp (sqrt (/ x (+ x y)))) (* (cbrt (sqrt (/ x (+ x y)))) (cbrt (sqrt (/ x 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(cbrt (+ x y)))) (/ x (sqrt (+ x y))) (/ x 1) (/ x 1) (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 1 1 0 1 1 0 0 0 0 0 0 12.954 * * [simplify]: Extracting # 0 : cost 0 12.954 * * [simplify]: Extracting # 1 : cost 0 12.954 * * [simplify]: Extracting # 2 : cost 0 12.954 * * [simplify]: Extracting # 3 : cost 0 12.954 * * [simplify]: Extracting # 4 : cost 0 12.955 * * [simplify]: Extracting # 5 : cost 0 12.955 * * [simplify]: Extracting # 6 : cost 0 12.955 * * [simplify]: Extracting # 7 : cost 0 12.955 * * [simplify]: iteration 0 : 183 enodes (cost 3207 ) 13.041 * * [simplify]: Extracting # 0 : cost 0 13.042 * * [simplify]: Extracting # 1 : cost 0 13.042 * * [simplify]: Extracting # 2 : cost 0 13.043 * * [simplify]: Extracting # 3 : cost 0 13.043 * * [simplify]: Extracting # 4 : cost 0 13.044 * * [simplify]: iteration 1 : 298 enodes (cost 2251 ) 13.174 * * [simplify]: Extracting # 0 : cost 0 13.175 * * [simplify]: Extracting # 1 : cost 0 13.176 * * [simplify]: Extracting # 2 : cost 0 13.178 * * [simplify]: Extracting # 3 : cost 0 13.180 * * [simplify]: Extracting # 4 : cost 0 13.183 * * [simplify]: iteration 2 : 911 enodes (cost 2129 ) 13.824 * * [simplify]: Extracting # 0 : cost 0 13.829 * * [simplify]: Extracting # 1 : cost 0 13.833 * * [simplify]: Extracting # 2 : cost 0 13.846 * * [simplify]: Extracting # 3 : cost 0 13.851 * * [simplify]: Extracting # 4 : cost 0 13.853 * * [simplify]: Extracting # 5 : cost 0 13.856 * * [simplify]: iteration 3 : 2299 enodes (cost 2090 ) 14.947 * * [simplify]: Extracting # 0 : cost 0 14.953 * * [simplify]: Extracting # 1 : cost 0 14.959 * * [simplify]: Extracting # 2 : cost 0 14.964 * * [simplify]: Extracting # 3 : cost 0 14.974 * * [simplify]: Extracting # 4 : cost 0 14.979 * * [simplify]: iteration done: 5000 enodes (cost 2062 ) 14.980 * [simplify]: Simplified to: (expm1 (sqrt (/ x (+ x y)))) (log1p (sqrt (/ x (+ x y)))) (log (sqrt (/ x (+ x y)))) (exp (sqrt 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(/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (sqrt x) (/ (sqrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 1 1 0 1 1 0 0 0 0 0 0 14.982 * * * [progress]: adding candidates to table 15.632 * [progress]: [Phase 3 of 3] Extracting. 15.633 * * [regime]: Finding splitpoints for: (# # # #) 15.633 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ y x)) y x) 15.633 * * * * [regimes]: Trying to branch on (/ x (+ y x)) from (# # # #) 15.651 * * * * [regimes]: Trying to branch on y from (# # # #) 15.669 * * * * [regimes]: Trying to branch on x from (# # # #) 15.690 * * * [regime]: Found split indices: #