28.516 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying: (/ x (+ x y)) 0.024 * * [simplify]: Extracting # 0 : cost 0 0.024 * * [simplify]: Extracting # 1 : cost 0 0.024 * * [simplify]: Extracting # 2 : cost 0 0.024 * * [simplify]: Extracting # 3 : cost 0 0.024 * * [simplify]: Extracting # 4 : cost 0 0.024 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.026 * * [simplify]: Extracting # 0 : cost 0 0.026 * * [simplify]: iteration 1 : 5 enodes (cost 5 ) 0.027 * * [simplify]: Extracting # 0 : cost 0 0.027 * * [simplify]: iteration done: 5 enodes (cost 5 ) 0.027 * [simplify]: Simplified to: (/ x (+ x y)) 0.028 * * [progress]: iteration 1 / 4 0.028 * * * [progress]: picking best candidate 0.029 * * * * [pick]: Picked # 0.030 * * * [progress]: localizing error 0.037 * * * [progress]: generating rewritten candidates 0.037 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.060 * * * [progress]: generating series expansions 0.060 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.060 * [backup-simplify]: Simplify (/ x (+ x y)) into (/ x (+ x y)) 0.060 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.060 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.060 * [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 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [backup-simplify]: Simplify y into y 0.061 * [backup-simplify]: Simplify (+ 0 y) into y 0.061 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 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 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [backup-simplify]: Simplify y into y 0.061 * [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 0.062 * [backup-simplify]: Simplify (/ 1 1) into 1 0.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [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 0.064 * [taylor]: Taking taylor expansion of y in y 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 1 into 1 0.064 * [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 0.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.068 * [backup-simplify]: Simplify (- 0) into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.070 * [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 0.078 * [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 0.080 * [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 x) (+ (/ 1 x) (/ 1 y))) 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 0.081 * [backup-simplify]: Simplify x into x 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (/ 1 1) into 1 0.081 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.081 * [taylor]: Taking taylor expansion of x in y 0.081 * [backup-simplify]: Simplify x into x 0.081 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.081 * [backup-simplify]: Simplify (+ 1 0) into 1 0.081 * [backup-simplify]: Simplify (* x 1) into x 0.081 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.081 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.081 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.082 * [taylor]: Taking taylor expansion of y in x 0.082 * [backup-simplify]: Simplify y into y 0.082 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.082 * [taylor]: Taking taylor expansion of x in x 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 * [backup-simplify]: Simplify (+ 0 1) into 1 0.082 * [backup-simplify]: Simplify (* 0 1) into 0 0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.083 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.083 * [backup-simplify]: Simplify (/ 1 1) into 1 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 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [backup-simplify]: Simplify y into y 0.084 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [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 0.085 * [backup-simplify]: Simplify (/ 1 1) into 1 0.085 * [taylor]: Taking taylor expansion of 1 in y 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.087 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.087 * [backup-simplify]: Simplify (/ 1 1) into 1 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify (- 0) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.091 * [taylor]: Taking taylor expansion of (pow y 2) 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 0.091 * [backup-simplify]: Simplify (/ 1 1) into 1 0.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.095 * [backup-simplify]: Simplify (- 0) into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.095 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.095 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.095 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.095 * [taylor]: Taking taylor expansion of x in y 0.095 * [backup-simplify]: Simplify x into x 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.095 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.095 * [taylor]: Taking taylor expansion of y in y 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (/ 1 1) into 1 0.096 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.096 * [taylor]: Taking taylor expansion of x in y 0.096 * [backup-simplify]: Simplify x into x 0.096 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.096 * [backup-simplify]: Simplify (+ 1 0) into 1 0.096 * [backup-simplify]: Simplify (* x 1) into x 0.096 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.096 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.096 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.096 * [taylor]: Taking taylor expansion of y in x 0.096 * [backup-simplify]: Simplify y into y 0.096 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (/ 1 1) into 1 0.097 * [backup-simplify]: Simplify (+ 0 1) into 1 0.097 * [backup-simplify]: Simplify (* 0 1) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.104 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.104 * [backup-simplify]: Simplify (/ 1 1) into 1 0.104 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.104 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.104 * [taylor]: Taking taylor expansion of y in x 0.104 * [backup-simplify]: Simplify y into y 0.104 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (/ 1 1) into 1 0.105 * [backup-simplify]: Simplify (+ 0 1) into 1 0.105 * [backup-simplify]: Simplify (* 0 1) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.106 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.106 * [backup-simplify]: Simplify (/ 1 1) into 1 0.107 * [taylor]: Taking taylor expansion of 1 in y 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.108 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.108 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.108 * [taylor]: Taking taylor expansion of y in y 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (/ 1 1) into 1 0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (- 0) into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (* 1 1) into 1 0.112 * [backup-simplify]: Simplify (/ 1 1) into 1 0.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 0 into 0 0.117 * * * [progress]: simplifying candidates 0.117 * [simplify]: Simplifying: (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (- (log x) (log (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (/ (* (* x x) x) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (- x) (- (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (/ 1 1) (/ x (+ x y)) (/ 1 1) (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) (/ x 1) (/ x 1) (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0.118 * * [simplify]: Extracting # 0 : cost 0 0.118 * * [simplify]: Extracting # 1 : cost 0 0.118 * * [simplify]: Extracting # 2 : cost 0 0.118 * * [simplify]: Extracting # 3 : cost 0 0.118 * * [simplify]: Extracting # 4 : cost 0 0.118 * * [simplify]: Extracting # 5 : cost 0 0.118 * * [simplify]: Extracting # 6 : cost 0 0.118 * * [simplify]: Extracting # 7 : cost 0 0.118 * * [simplify]: iteration 0 : 61 enodes (cost 336 ) 0.134 * * [simplify]: Extracting # 0 : cost 0 0.134 * * [simplify]: Extracting # 1 : cost 0 0.134 * * [simplify]: Extracting # 2 : cost 0 0.134 * * [simplify]: Extracting # 3 : cost 0 0.134 * * [simplify]: iteration 1 : 122 enodes (cost 317 ) 0.163 * * [simplify]: Extracting # 0 : cost 0 0.164 * * [simplify]: Extracting # 1 : cost 0 0.164 * * [simplify]: Extracting # 2 : cost 0 0.164 * * [simplify]: Extracting # 3 : cost 0 0.165 * * [simplify]: Extracting # 4 : cost 0 0.165 * * [simplify]: iteration 2 : 286 enodes (cost 299 ) 0.243 * * [simplify]: Extracting # 0 : cost 0 0.243 * * [simplify]: Extracting # 1 : cost 0 0.244 * * [simplify]: Extracting # 2 : cost 0 0.244 * * [simplify]: Extracting # 3 : cost 0 0.245 * * [simplify]: iteration 3 : 587 enodes (cost 299 ) 0.589 * * [simplify]: Extracting # 0 : cost 0 0.591 * * [simplify]: Extracting # 1 : cost 0 0.592 * * [simplify]: Extracting # 2 : cost 0 0.593 * * [simplify]: Extracting # 3 : cost 0 0.595 * * [simplify]: Extracting # 4 : cost 0 0.596 * * [simplify]: iteration 4 : 1573 enodes (cost 299 ) 3.352 * * [simplify]: Extracting # 0 : cost 0 3.358 * * [simplify]: Extracting # 1 : cost 0 3.373 * * [simplify]: Extracting # 2 : cost 0 3.383 * * [simplify]: Extracting # 3 : cost 0 3.391 * * [simplify]: Extracting # 4 : cost 0 3.400 * * [simplify]: iteration done: 5000 enodes (cost 299 ) 3.400 * [simplify]: Simplified to: (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (pow (/ x (+ x y)) 3) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (pow (/ x (+ x y)) 3) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (- x) (- (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (sqrt x) (/ (sqrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 3.401 * * * [progress]: adding candidates to table 3.520 * * [progress]: iteration 2 / 4 3.520 * * * [progress]: picking best candidate 3.523 * * * * [pick]: Picked # 3.523 * * * [progress]: localizing error 3.528 * * * [progress]: generating rewritten candidates 3.528 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.574 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 3.592 * * * [progress]: generating series expansions 3.592 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.592 * [backup-simplify]: Simplify (* x (/ 1 (+ x y))) into (/ x (+ x y)) 3.592 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 3.592 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 3.592 * [taylor]: Taking taylor expansion of x in y 3.592 * [backup-simplify]: Simplify x into x 3.592 * [taylor]: Taking taylor expansion of (+ x y) in y 3.592 * [taylor]: Taking taylor expansion of x in y 3.592 * [backup-simplify]: Simplify x into x 3.592 * [taylor]: Taking taylor expansion of y in y 3.592 * [backup-simplify]: Simplify 0 into 0 3.592 * [backup-simplify]: Simplify 1 into 1 3.592 * [backup-simplify]: Simplify (+ x 0) into x 3.592 * [backup-simplify]: Simplify (/ x x) into 1 3.592 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 3.592 * [taylor]: Taking taylor expansion of x in x 3.592 * [backup-simplify]: Simplify 0 into 0 3.592 * [backup-simplify]: Simplify 1 into 1 3.592 * [taylor]: Taking taylor expansion of (+ x y) in x 3.592 * [taylor]: Taking taylor expansion of x in x 3.592 * [backup-simplify]: Simplify 0 into 0 3.592 * [backup-simplify]: Simplify 1 into 1 3.592 * [taylor]: Taking taylor expansion of y in x 3.592 * [backup-simplify]: Simplify y into y 3.592 * [backup-simplify]: Simplify (+ 0 y) into y 3.592 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.592 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 3.592 * [taylor]: Taking taylor expansion of x in x 3.592 * [backup-simplify]: Simplify 0 into 0 3.592 * [backup-simplify]: Simplify 1 into 1 3.592 * [taylor]: Taking taylor expansion of (+ x y) in x 3.592 * [taylor]: Taking taylor expansion of x in x 3.593 * [backup-simplify]: Simplify 0 into 0 3.593 * [backup-simplify]: Simplify 1 into 1 3.593 * [taylor]: Taking taylor expansion of y in x 3.593 * [backup-simplify]: Simplify y into y 3.593 * [backup-simplify]: Simplify (+ 0 y) into y 3.593 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.593 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.593 * [taylor]: Taking taylor expansion of y in y 3.593 * [backup-simplify]: Simplify 0 into 0 3.593 * [backup-simplify]: Simplify 1 into 1 3.593 * [backup-simplify]: Simplify (/ 1 1) into 1 3.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.594 * [backup-simplify]: Simplify 0 into 0 3.594 * [backup-simplify]: Simplify (+ 1 0) into 1 3.594 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 3.594 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 3.594 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.594 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.594 * [taylor]: Taking taylor expansion of y in y 3.594 * [backup-simplify]: Simplify 0 into 0 3.594 * [backup-simplify]: Simplify 1 into 1 3.595 * [backup-simplify]: Simplify (* 1 1) into 1 3.595 * [backup-simplify]: Simplify (/ 1 1) into 1 3.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.597 * [backup-simplify]: Simplify (- 0) into 0 3.597 * [backup-simplify]: Simplify 0 into 0 3.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.598 * [backup-simplify]: Simplify 0 into 0 3.598 * [backup-simplify]: Simplify (+ 0 0) into 0 3.598 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 3.598 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 3.598 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.598 * [taylor]: Taking taylor expansion of y in y 3.598 * [backup-simplify]: Simplify 0 into 0 3.598 * [backup-simplify]: Simplify 1 into 1 3.598 * [backup-simplify]: Simplify (* 1 1) into 1 3.599 * [backup-simplify]: Simplify (* 1 1) into 1 3.599 * [backup-simplify]: Simplify (/ 1 1) into 1 3.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.603 * [backup-simplify]: Simplify 0 into 0 3.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.605 * [backup-simplify]: Simplify (- 0) into 0 3.605 * [backup-simplify]: Simplify 0 into 0 3.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.605 * [backup-simplify]: Simplify 0 into 0 3.605 * [backup-simplify]: Simplify 0 into 0 3.605 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 (+ (/ 1 x) (/ 1 y)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3.605 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 3.605 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 3.605 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 3.605 * [taylor]: Taking taylor expansion of x in y 3.605 * [backup-simplify]: Simplify x into x 3.605 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.605 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.605 * [taylor]: Taking taylor expansion of y in y 3.605 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify 1 into 1 3.606 * [backup-simplify]: Simplify (/ 1 1) into 1 3.606 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.606 * [taylor]: Taking taylor expansion of x in y 3.606 * [backup-simplify]: Simplify x into x 3.606 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.606 * [backup-simplify]: Simplify (+ 1 0) into 1 3.606 * [backup-simplify]: Simplify (* x 1) into x 3.606 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.606 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 3.606 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 3.606 * [taylor]: Taking taylor expansion of x in x 3.606 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify 1 into 1 3.606 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.606 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.606 * [taylor]: Taking taylor expansion of y in x 3.606 * [backup-simplify]: Simplify y into y 3.606 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.606 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.606 * [taylor]: Taking taylor expansion of x in x 3.606 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify 1 into 1 3.607 * [backup-simplify]: Simplify (/ 1 1) into 1 3.607 * [backup-simplify]: Simplify (+ 0 1) into 1 3.607 * [backup-simplify]: Simplify (* 0 1) into 0 3.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.608 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.608 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 3.608 * [backup-simplify]: Simplify (/ 1 1) into 1 3.608 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 3.608 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 3.608 * [taylor]: Taking taylor expansion of x in x 3.608 * [backup-simplify]: Simplify 0 into 0 3.608 * [backup-simplify]: Simplify 1 into 1 3.608 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.609 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.609 * [taylor]: Taking taylor expansion of y in x 3.609 * [backup-simplify]: Simplify y into y 3.609 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.609 * [taylor]: Taking taylor expansion of x in x 3.609 * [backup-simplify]: Simplify 0 into 0 3.609 * [backup-simplify]: Simplify 1 into 1 3.609 * [backup-simplify]: Simplify (/ 1 1) into 1 3.609 * [backup-simplify]: Simplify (+ 0 1) into 1 3.609 * [backup-simplify]: Simplify (* 0 1) into 0 3.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.610 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.610 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 3.610 * [backup-simplify]: Simplify (/ 1 1) into 1 3.610 * [taylor]: Taking taylor expansion of 1 in y 3.611 * [backup-simplify]: Simplify 1 into 1 3.611 * [backup-simplify]: Simplify 0 into 0 3.611 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.611 * [backup-simplify]: Simplify (+ 0 0) into 0 3.612 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 3.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 3.612 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 3.612 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.612 * [taylor]: Taking taylor expansion of y in y 3.612 * [backup-simplify]: Simplify 0 into 0 3.612 * [backup-simplify]: Simplify 1 into 1 3.612 * [backup-simplify]: Simplify (/ 1 1) into 1 3.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.613 * [backup-simplify]: Simplify (- 0) into 0 3.613 * [backup-simplify]: Simplify 0 into 0 3.614 * [backup-simplify]: Simplify 0 into 0 3.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.614 * [backup-simplify]: Simplify (+ 0 0) into 0 3.615 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 3.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 3.616 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.616 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.616 * [taylor]: Taking taylor expansion of y in y 3.616 * [backup-simplify]: Simplify 0 into 0 3.616 * [backup-simplify]: Simplify 1 into 1 3.616 * [backup-simplify]: Simplify (* 1 1) into 1 3.616 * [backup-simplify]: Simplify (/ 1 1) into 1 3.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.619 * [backup-simplify]: Simplify 0 into 0 3.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.621 * [backup-simplify]: Simplify (- 0) into 0 3.621 * [backup-simplify]: Simplify 0 into 0 3.621 * [backup-simplify]: Simplify 0 into 0 3.621 * [backup-simplify]: Simplify 0 into 0 3.621 * [backup-simplify]: Simplify (* (/ 1 (- x)) (/ 1 (+ (/ 1 (- x)) (/ 1 (- y))))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3.621 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 3.621 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 3.621 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 3.621 * [taylor]: Taking taylor expansion of x in y 3.621 * [backup-simplify]: Simplify x into x 3.621 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.621 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.621 * [taylor]: Taking taylor expansion of y in y 3.621 * [backup-simplify]: Simplify 0 into 0 3.621 * [backup-simplify]: Simplify 1 into 1 3.622 * [backup-simplify]: Simplify (/ 1 1) into 1 3.622 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.622 * [taylor]: Taking taylor expansion of x in y 3.622 * [backup-simplify]: Simplify x into x 3.622 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.622 * [backup-simplify]: Simplify (+ 1 0) into 1 3.623 * [backup-simplify]: Simplify (* x 1) into x 3.623 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.623 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 3.623 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 3.623 * [taylor]: Taking taylor expansion of x in x 3.623 * [backup-simplify]: Simplify 0 into 0 3.623 * [backup-simplify]: Simplify 1 into 1 3.623 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.623 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.623 * [taylor]: Taking taylor expansion of y in x 3.623 * [backup-simplify]: Simplify y into y 3.623 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.623 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.623 * [taylor]: Taking taylor expansion of x in x 3.623 * [backup-simplify]: Simplify 0 into 0 3.623 * [backup-simplify]: Simplify 1 into 1 3.623 * [backup-simplify]: Simplify (/ 1 1) into 1 3.624 * [backup-simplify]: Simplify (+ 0 1) into 1 3.624 * [backup-simplify]: Simplify (* 0 1) into 0 3.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.625 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.626 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 3.626 * [backup-simplify]: Simplify (/ 1 1) into 1 3.626 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 3.626 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 3.626 * [taylor]: Taking taylor expansion of x in x 3.626 * [backup-simplify]: Simplify 0 into 0 3.626 * [backup-simplify]: Simplify 1 into 1 3.626 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.626 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.626 * [taylor]: Taking taylor expansion of y in x 3.626 * [backup-simplify]: Simplify y into y 3.626 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.626 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.626 * [taylor]: Taking taylor expansion of x in x 3.627 * [backup-simplify]: Simplify 0 into 0 3.627 * [backup-simplify]: Simplify 1 into 1 3.627 * [backup-simplify]: Simplify (/ 1 1) into 1 3.627 * [backup-simplify]: Simplify (+ 0 1) into 1 3.628 * [backup-simplify]: Simplify (* 0 1) into 0 3.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.629 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.629 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 3.629 * [backup-simplify]: Simplify (/ 1 1) into 1 3.630 * [taylor]: Taking taylor expansion of 1 in y 3.630 * [backup-simplify]: Simplify 1 into 1 3.630 * [backup-simplify]: Simplify 0 into 0 3.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.631 * [backup-simplify]: Simplify (+ 0 0) into 0 3.632 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 3.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 3.632 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 3.632 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.632 * [taylor]: Taking taylor expansion of y in y 3.632 * [backup-simplify]: Simplify 0 into 0 3.632 * [backup-simplify]: Simplify 1 into 1 3.633 * [backup-simplify]: Simplify (/ 1 1) into 1 3.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.635 * [backup-simplify]: Simplify (- 0) into 0 3.635 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.636 * [backup-simplify]: Simplify (+ 0 0) into 0 3.637 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 3.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 3.638 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.638 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.638 * [taylor]: Taking taylor expansion of y in y 3.638 * [backup-simplify]: Simplify 0 into 0 3.638 * [backup-simplify]: Simplify 1 into 1 3.639 * [backup-simplify]: Simplify (* 1 1) into 1 3.639 * [backup-simplify]: Simplify (/ 1 1) into 1 3.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.644 * [backup-simplify]: Simplify 0 into 0 3.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.646 * [backup-simplify]: Simplify (- 0) into 0 3.646 * [backup-simplify]: Simplify 0 into 0 3.646 * [backup-simplify]: Simplify 0 into 0 3.646 * [backup-simplify]: Simplify 0 into 0 3.646 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 3.646 * [backup-simplify]: Simplify (/ 1 (+ x y)) into (/ 1 (+ x y)) 3.646 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (x y) around 0 3.646 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 3.646 * [taylor]: Taking taylor expansion of (+ x y) in y 3.646 * [taylor]: Taking taylor expansion of x in y 3.646 * [backup-simplify]: Simplify x into x 3.646 * [taylor]: Taking taylor expansion of y in y 3.646 * [backup-simplify]: Simplify 0 into 0 3.646 * [backup-simplify]: Simplify 1 into 1 3.646 * [backup-simplify]: Simplify (+ x 0) into x 3.646 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.647 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 3.647 * [taylor]: Taking taylor expansion of (+ x y) in x 3.647 * [taylor]: Taking taylor expansion of x in x 3.647 * [backup-simplify]: Simplify 0 into 0 3.647 * [backup-simplify]: Simplify 1 into 1 3.647 * [taylor]: Taking taylor expansion of y in x 3.647 * [backup-simplify]: Simplify y into y 3.647 * [backup-simplify]: Simplify (+ 0 y) into y 3.647 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.647 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 3.647 * [taylor]: Taking taylor expansion of (+ x y) in x 3.647 * [taylor]: Taking taylor expansion of x in x 3.647 * [backup-simplify]: Simplify 0 into 0 3.647 * [backup-simplify]: Simplify 1 into 1 3.647 * [taylor]: Taking taylor expansion of y in x 3.647 * [backup-simplify]: Simplify y into y 3.647 * [backup-simplify]: Simplify (+ 0 y) into y 3.647 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.647 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.647 * [taylor]: Taking taylor expansion of y in y 3.647 * [backup-simplify]: Simplify 0 into 0 3.647 * [backup-simplify]: Simplify 1 into 1 3.648 * [backup-simplify]: Simplify (/ 1 1) into 1 3.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.649 * [backup-simplify]: Simplify 0 into 0 3.649 * [backup-simplify]: Simplify (+ 1 0) into 1 3.649 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 3.650 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 3.650 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.650 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.650 * [taylor]: Taking taylor expansion of y in y 3.650 * [backup-simplify]: Simplify 0 into 0 3.650 * [backup-simplify]: Simplify 1 into 1 3.651 * [backup-simplify]: Simplify (* 1 1) into 1 3.651 * [backup-simplify]: Simplify (/ 1 1) into 1 3.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.655 * [backup-simplify]: Simplify (- 0) into 0 3.655 * [backup-simplify]: Simplify 0 into 0 3.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.656 * [backup-simplify]: Simplify 0 into 0 3.656 * [backup-simplify]: Simplify (+ 0 0) into 0 3.657 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 3.657 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 3.657 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.657 * [taylor]: Taking taylor expansion of y in y 3.657 * [backup-simplify]: Simplify 0 into 0 3.657 * [backup-simplify]: Simplify 1 into 1 3.657 * [backup-simplify]: Simplify (* 1 1) into 1 3.658 * [backup-simplify]: Simplify (* 1 1) into 1 3.658 * [backup-simplify]: Simplify (/ 1 1) into 1 3.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.672 * [backup-simplify]: Simplify 0 into 0 3.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.674 * [backup-simplify]: Simplify (- 0) into 0 3.674 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.675 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 x) (/ 1 y))) into (/ 1 (+ (/ 1 y) (/ 1 x))) 3.675 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 3.675 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 3.676 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) 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 3.676 * [backup-simplify]: Simplify (/ 1 1) into 1 3.676 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.676 * [taylor]: Taking taylor expansion of x in y 3.676 * [backup-simplify]: Simplify x into x 3.676 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.677 * [backup-simplify]: Simplify (+ 1 0) into 1 3.677 * [backup-simplify]: Simplify (/ 1 1) into 1 3.677 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 3.677 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.677 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.677 * [taylor]: Taking taylor expansion of y in x 3.678 * [backup-simplify]: Simplify y into y 3.678 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.678 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.678 * [taylor]: Taking taylor expansion of x in x 3.678 * [backup-simplify]: Simplify 0 into 0 3.678 * [backup-simplify]: Simplify 1 into 1 3.678 * [backup-simplify]: Simplify (/ 1 1) into 1 3.679 * [backup-simplify]: Simplify (+ 0 1) into 1 3.679 * [backup-simplify]: Simplify (/ 1 1) into 1 3.679 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 3.679 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.679 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.679 * [taylor]: Taking taylor expansion of y in x 3.679 * [backup-simplify]: Simplify y into y 3.679 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.679 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.679 * [taylor]: Taking taylor expansion of x in x 3.679 * [backup-simplify]: Simplify 0 into 0 3.679 * [backup-simplify]: Simplify 1 into 1 3.680 * [backup-simplify]: Simplify (/ 1 1) into 1 3.680 * [backup-simplify]: Simplify (+ 0 1) into 1 3.680 * [backup-simplify]: Simplify (/ 1 1) into 1 3.681 * [taylor]: Taking taylor expansion of 1 in y 3.681 * [backup-simplify]: Simplify 1 into 1 3.681 * [backup-simplify]: Simplify 0 into 0 3.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.682 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 3.682 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 3.682 * [taylor]: Taking taylor expansion of (/ 1 y) 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 3.682 * [backup-simplify]: Simplify (/ 1 1) into 1 3.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.684 * [backup-simplify]: Simplify (- 0) into 0 3.684 * [backup-simplify]: Simplify 0 into 0 3.684 * [backup-simplify]: Simplify 0 into 0 3.685 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.686 * [backup-simplify]: Simplify (+ 0 0) into 0 3.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 3.687 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.687 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.687 * [taylor]: Taking taylor expansion of y in y 3.687 * [backup-simplify]: Simplify 0 into 0 3.687 * [backup-simplify]: Simplify 1 into 1 3.687 * [backup-simplify]: Simplify (* 1 1) into 1 3.688 * [backup-simplify]: Simplify (/ 1 1) into 1 3.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.693 * [backup-simplify]: Simplify 0 into 0 3.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.694 * [backup-simplify]: Simplify (- 0) into 0 3.694 * [backup-simplify]: Simplify 0 into 0 3.694 * [backup-simplify]: Simplify 0 into 0 3.694 * [backup-simplify]: Simplify 0 into 0 3.694 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ -1 (+ (/ 1 y) (/ 1 x))) 3.694 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 3.695 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 3.695 * [taylor]: Taking taylor expansion of -1 in y 3.695 * [backup-simplify]: Simplify -1 into -1 3.695 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.695 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.695 * [taylor]: Taking taylor expansion of y in y 3.695 * [backup-simplify]: Simplify 0 into 0 3.695 * [backup-simplify]: Simplify 1 into 1 3.695 * [backup-simplify]: Simplify (/ 1 1) into 1 3.695 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.695 * [taylor]: Taking taylor expansion of x in y 3.695 * [backup-simplify]: Simplify x into x 3.695 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.696 * [backup-simplify]: Simplify (+ 1 0) into 1 3.696 * [backup-simplify]: Simplify (/ -1 1) into -1 3.696 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 3.696 * [taylor]: Taking taylor expansion of -1 in x 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 3.697 * [backup-simplify]: Simplify y into y 3.697 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.697 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.697 * [taylor]: Taking taylor expansion of x in x 3.697 * [backup-simplify]: Simplify 0 into 0 3.697 * [backup-simplify]: Simplify 1 into 1 3.697 * [backup-simplify]: Simplify (/ 1 1) into 1 3.698 * [backup-simplify]: Simplify (+ 0 1) into 1 3.698 * [backup-simplify]: Simplify (/ -1 1) into -1 3.698 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 3.698 * [taylor]: Taking taylor expansion of -1 in x 3.698 * [backup-simplify]: Simplify -1 into -1 3.698 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.698 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.698 * [taylor]: Taking taylor expansion of y in x 3.698 * [backup-simplify]: Simplify y into y 3.698 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.698 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.698 * [taylor]: Taking taylor expansion of x in x 3.698 * [backup-simplify]: Simplify 0 into 0 3.698 * [backup-simplify]: Simplify 1 into 1 3.699 * [backup-simplify]: Simplify (/ 1 1) into 1 3.699 * [backup-simplify]: Simplify (+ 0 1) into 1 3.700 * [backup-simplify]: Simplify (/ -1 1) into -1 3.700 * [taylor]: Taking taylor expansion of -1 in y 3.700 * [backup-simplify]: Simplify -1 into -1 3.700 * [backup-simplify]: Simplify 0 into 0 3.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.701 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (/ 1 y) 1)))) into (/ 1 y) 3.701 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.701 * [taylor]: Taking taylor expansion of y in y 3.701 * [backup-simplify]: Simplify 0 into 0 3.701 * [backup-simplify]: Simplify 1 into 1 3.702 * [backup-simplify]: Simplify (/ 1 1) into 1 3.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.703 * [backup-simplify]: Simplify 0 into 0 3.703 * [backup-simplify]: Simplify 0 into 0 3.704 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.705 * [backup-simplify]: Simplify (+ 0 0) into 0 3.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (/ 1 y) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 2))) 3.706 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 3.706 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.706 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.706 * [taylor]: Taking taylor expansion of y in y 3.706 * [backup-simplify]: Simplify 0 into 0 3.706 * [backup-simplify]: Simplify 1 into 1 3.707 * [backup-simplify]: Simplify (* 1 1) into 1 3.707 * [backup-simplify]: Simplify (/ 1 1) into 1 3.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.713 * [backup-simplify]: Simplify (- 0) into 0 3.713 * [backup-simplify]: Simplify 0 into 0 3.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.714 * [backup-simplify]: Simplify 0 into 0 3.714 * [backup-simplify]: Simplify 0 into 0 3.714 * [backup-simplify]: Simplify 0 into 0 3.714 * * * [progress]: simplifying candidates 3.716 * [simplify]: Simplifying: (expm1 (* x (/ 1 (+ x y)))) (log1p (* x (/ 1 (+ x y)))) (* x (/ 1 (+ x y))) (+ (log x) (- (log (+ x y)))) (+ (log x) (- 0 (log (+ x y)))) (+ (log x) (- (log 1) (log (+ x y)))) (+ (log x) (log (/ 1 (+ x y)))) (log (* x (/ 1 (+ x y)))) (exp (* x (/ 1 (+ x y)))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (+ x y) (+ x y)) (+ x y)))) (* (* (* x x) x) (* (* (/ 1 (+ x y)) (/ 1 (+ x y))) (/ 1 (+ x y)))) (* (cbrt (* x (/ 1 (+ x y)))) (cbrt (* x (/ 1 (+ x y))))) (cbrt (* x (/ 1 (+ x y)))) (* (* (* x (/ 1 (+ x y))) (* x (/ 1 (+ x y)))) (* x (/ 1 (+ x y)))) (sqrt (* x (/ 1 (+ x y)))) (sqrt (* x (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ x y)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ x y)))) (* (sqrt x) (/ 1 (sqrt (+ x y)))) (* (sqrt x) (/ 1 (sqrt (+ x y)))) (* x (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y))))) (* x (sqrt (/ 1 (+ x y)))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ x y)))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (sqrt 1) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* x (/ (sqrt 1) (sqrt (+ x y)))) (* x (/ (sqrt 1) 1)) (* x (/ (sqrt 1) 1)) (* x (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y))))) (* x (/ 1 (sqrt (+ x y)))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x 1) (* x (/ 1 (+ (pow x 3) (pow y 3)))) (* x (/ 1 (- (* x x) (* y y)))) (* (cbrt x) (/ 1 (+ x y))) (* (sqrt x) (/ 1 (+ x y))) (* x (/ 1 (+ x y))) (* x 1) (expm1 (/ 1 (+ x y))) (log1p (/ 1 (+ x y))) (- 1) (- (log (+ x y))) (- 0 (log (+ x y))) (- (log 1) (log (+ x y))) (log (/ 1 (+ x y))) (exp (/ 1 (+ x y))) (/ (* (* 1 1) 1) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y)))) (cbrt (/ 1 (+ x y))) (* (* (/ 1 (+ x y)) (/ 1 (+ x y))) (/ 1 (+ x y))) (sqrt (/ 1 (+ x y))) (sqrt (/ 1 (+ x y))) (- 1) (- (+ x y)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt 1) (cbrt (+ x y))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ x y))) (/ (cbrt 1) (sqrt (+ x y))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ x y)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ x y)) (/ (sqrt 1) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt 1) (cbrt (+ x y))) (/ (sqrt 1) (sqrt (+ x y))) (/ (sqrt 1) (sqrt (+ x y))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ x y)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 1) (/ 1 (+ x y)) (/ 1 1) (/ 1 (+ x y)) (/ 1 (+ x y)) (/ (+ x y) 1) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (sqrt (+ x y))) (/ 1 1) (/ 1 1) (/ (+ x y) (cbrt 1)) (/ (+ x y) (sqrt 1)) (/ (+ x y) 1) (/ 1 (+ (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) 0 0 0 0 0 0 3.719 * * [simplify]: Extracting # 0 : cost 0 3.719 * * [simplify]: Extracting # 1 : cost 0 3.719 * * [simplify]: Extracting # 2 : cost 0 3.719 * * [simplify]: Extracting # 3 : cost 0 3.720 * * [simplify]: Extracting # 4 : cost 0 3.720 * * [simplify]: Extracting # 5 : cost 0 3.720 * * [simplify]: Extracting # 6 : cost 0 3.721 * * [simplify]: iteration 0 : 99 enodes (cost 783 ) 3.763 * * [simplify]: Extracting # 0 : cost 0 3.764 * * [simplify]: Extracting # 1 : cost 0 3.764 * * [simplify]: Extracting # 2 : cost 0 3.765 * * [simplify]: Extracting # 3 : cost 0 3.765 * * [simplify]: iteration 1 : 225 enodes (cost 603 ) 3.836 * * [simplify]: Extracting # 0 : cost 0 3.837 * * [simplify]: Extracting # 1 : cost 0 3.837 * * [simplify]: Extracting # 2 : cost 0 3.838 * * [simplify]: Extracting # 3 : cost 0 3.838 * * [simplify]: Extracting # 4 : cost 0 3.839 * * [simplify]: Extracting # 5 : cost 0 3.839 * * [simplify]: Extracting # 6 : cost 0 3.840 * * [simplify]: iteration 2 : 464 enodes (cost 541 ) 4.166 * * [simplify]: Extracting # 0 : cost 0 4.167 * * [simplify]: Extracting # 1 : cost 0 4.168 * * [simplify]: Extracting # 2 : cost 0 4.168 * * [simplify]: Extracting # 3 : cost 0 4.169 * * [simplify]: Extracting # 4 : cost 0 4.170 * * [simplify]: iteration 3 : 952 enodes (cost 541 ) 4.999 * * [simplify]: Extracting # 0 : cost 0 5.003 * * [simplify]: Extracting # 1 : cost 0 5.006 * * [simplify]: Extracting # 2 : cost 0 5.009 * * [simplify]: Extracting # 3 : cost 0 5.013 * * [simplify]: Extracting # 4 : cost 0 5.016 * * [simplify]: Extracting # 5 : cost 0 5.019 * * [simplify]: iteration 4 : 2095 enodes (cost 541 ) 7.123 * * [simplify]: Extracting # 0 : cost 0 7.131 * * [simplify]: Extracting # 1 : cost 0 7.140 * * [simplify]: Extracting # 2 : cost 0 7.149 * * [simplify]: Extracting # 3 : cost 0 7.158 * * [simplify]: Extracting # 4 : cost 0 7.172 * * [simplify]: iteration done: 5000 enodes (cost 541 ) 7.173 * [simplify]: Simplified to: (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (/ x (+ y x)) (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (pow (/ x (+ y x)) 3) (pow (/ x (+ y x)) 3) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (pow (/ x (+ y x)) 3) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (* x (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y))))) (* x (sqrt (/ 1 (+ x y)))) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x x x (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) (/ (cbrt x) (+ y x)) (/ (sqrt x) (+ y x)) (/ x (+ y x)) x (expm1 (/ 1 (+ x y))) (log1p (/ 1 (+ x y))) -1 (- (log (+ x y))) (- (log (+ x y))) (- (log (+ x y))) (- (log (+ x y))) (exp (/ 1 (+ x y))) (pow (/ 1 (+ y x)) 3) (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y)))) (cbrt (/ 1 (+ x y))) (pow (/ 1 (+ y x)) 3) (sqrt (/ 1 (+ x y))) (sqrt (/ 1 (+ x y))) -1 (- (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) 1 (/ 1 (+ y x)) 1 (/ 1 (+ y x)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) 1 (/ 1 (+ y x)) 1 (/ 1 (+ y x)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) 1 (/ 1 (+ y x)) 1 (/ 1 (+ y x)) (/ 1 (+ y x)) (+ y x) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (sqrt (+ x y))) 1 1 (+ y x) (+ y x) (+ y x) (/ 1 (+ (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) 0 0 0 0 0 0 7.174 * * * [progress]: adding candidates to table 7.324 * * [progress]: iteration 3 / 4 7.324 * * * [progress]: picking best candidate 7.327 * * * * [pick]: Picked # 7.327 * * * [progress]: localizing error 7.337 * * * [progress]: generating rewritten candidates 7.337 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 7.369 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 7.425 * * * [progress]: generating series expansions 7.425 * * * * [progress]: [ 1 / 2 ] generating series at (2) 7.425 * [backup-simplify]: Simplify (/ 1 (/ (+ x y) x)) into (/ x (+ x y)) 7.425 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 7.425 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 7.425 * [taylor]: Taking taylor expansion of x in y 7.425 * [backup-simplify]: Simplify x into x 7.425 * [taylor]: Taking taylor expansion of (+ x y) in y 7.425 * [taylor]: Taking taylor expansion of x in y 7.425 * [backup-simplify]: Simplify x into x 7.425 * [taylor]: Taking taylor expansion of y in y 7.425 * [backup-simplify]: Simplify 0 into 0 7.425 * [backup-simplify]: Simplify 1 into 1 7.425 * [backup-simplify]: Simplify (+ x 0) into x 7.425 * [backup-simplify]: Simplify (/ x x) into 1 7.426 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 7.426 * [taylor]: Taking taylor expansion of x in x 7.426 * [backup-simplify]: Simplify 0 into 0 7.426 * [backup-simplify]: Simplify 1 into 1 7.426 * [taylor]: Taking taylor expansion of (+ x y) in x 7.426 * [taylor]: Taking taylor expansion of x in x 7.426 * [backup-simplify]: Simplify 0 into 0 7.426 * [backup-simplify]: Simplify 1 into 1 7.426 * [taylor]: Taking taylor expansion of y in x 7.426 * [backup-simplify]: Simplify y into y 7.426 * [backup-simplify]: Simplify (+ 0 y) into y 7.426 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.426 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 7.426 * [taylor]: Taking taylor expansion of x in x 7.426 * [backup-simplify]: Simplify 0 into 0 7.426 * [backup-simplify]: Simplify 1 into 1 7.426 * [taylor]: Taking taylor expansion of (+ x y) in x 7.426 * [taylor]: Taking taylor expansion of x in x 7.426 * [backup-simplify]: Simplify 0 into 0 7.426 * [backup-simplify]: Simplify 1 into 1 7.426 * [taylor]: Taking taylor expansion of y in x 7.426 * [backup-simplify]: Simplify y into y 7.426 * [backup-simplify]: Simplify (+ 0 y) into y 7.426 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.426 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.426 * [taylor]: Taking taylor expansion of y in y 7.426 * [backup-simplify]: Simplify 0 into 0 7.426 * [backup-simplify]: Simplify 1 into 1 7.427 * [backup-simplify]: Simplify (/ 1 1) into 1 7.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.428 * [backup-simplify]: Simplify 0 into 0 7.428 * [backup-simplify]: Simplify (+ 1 0) into 1 7.428 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 7.428 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 7.429 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.429 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.429 * [taylor]: Taking taylor expansion of y in y 7.429 * [backup-simplify]: Simplify 0 into 0 7.429 * [backup-simplify]: Simplify 1 into 1 7.429 * [backup-simplify]: Simplify (* 1 1) into 1 7.429 * [backup-simplify]: Simplify (/ 1 1) into 1 7.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.433 * [backup-simplify]: Simplify (- 0) into 0 7.433 * [backup-simplify]: Simplify 0 into 0 7.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.433 * [backup-simplify]: Simplify 0 into 0 7.434 * [backup-simplify]: Simplify (+ 0 0) into 0 7.434 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 7.434 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 7.434 * [taylor]: Taking taylor expansion of (pow y 3) in y 7.434 * [taylor]: Taking taylor expansion of y in y 7.434 * [backup-simplify]: Simplify 0 into 0 7.434 * [backup-simplify]: Simplify 1 into 1 7.435 * [backup-simplify]: Simplify (* 1 1) into 1 7.435 * [backup-simplify]: Simplify (* 1 1) into 1 7.435 * [backup-simplify]: Simplify (/ 1 1) into 1 7.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.439 * [backup-simplify]: Simplify 0 into 0 7.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.441 * [backup-simplify]: Simplify (- 0) into 0 7.441 * [backup-simplify]: Simplify 0 into 0 7.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.441 * [backup-simplify]: Simplify 0 into 0 7.441 * [backup-simplify]: Simplify 0 into 0 7.441 * [backup-simplify]: Simplify (/ 1 (/ (+ (/ 1 x) (/ 1 y)) (/ 1 x))) into (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) 7.441 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 7.441 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 7.441 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 7.441 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 7.441 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.441 * [taylor]: Taking taylor expansion of y in y 7.442 * [backup-simplify]: Simplify 0 into 0 7.442 * [backup-simplify]: Simplify 1 into 1 7.442 * [backup-simplify]: Simplify (/ 1 1) into 1 7.442 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.442 * [taylor]: Taking taylor expansion of x in y 7.442 * [backup-simplify]: Simplify x into x 7.442 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.442 * [taylor]: Taking taylor expansion of x in y 7.442 * [backup-simplify]: Simplify x into x 7.442 * [backup-simplify]: Simplify (+ 1 0) into 1 7.442 * [backup-simplify]: Simplify (* 1 x) into x 7.442 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.442 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 7.442 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 7.442 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.442 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.442 * [taylor]: Taking taylor expansion of y in x 7.442 * [backup-simplify]: Simplify y into y 7.442 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.442 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.442 * [taylor]: Taking taylor expansion of x in x 7.442 * [backup-simplify]: Simplify 0 into 0 7.442 * [backup-simplify]: Simplify 1 into 1 7.443 * [backup-simplify]: Simplify (/ 1 1) into 1 7.443 * [taylor]: Taking taylor expansion of x in x 7.443 * [backup-simplify]: Simplify 0 into 0 7.443 * [backup-simplify]: Simplify 1 into 1 7.443 * [backup-simplify]: Simplify (+ 0 1) into 1 7.443 * [backup-simplify]: Simplify (* 1 0) into 0 7.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.444 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 7.444 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 7.444 * [backup-simplify]: Simplify (/ 1 1) into 1 7.444 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 7.444 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 7.444 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.444 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.444 * [taylor]: Taking taylor expansion of y in x 7.444 * [backup-simplify]: Simplify y into y 7.444 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.444 * [taylor]: Taking taylor expansion of x in x 7.444 * [backup-simplify]: Simplify 0 into 0 7.444 * [backup-simplify]: Simplify 1 into 1 7.445 * [backup-simplify]: Simplify (/ 1 1) into 1 7.445 * [taylor]: Taking taylor expansion of x in x 7.445 * [backup-simplify]: Simplify 0 into 0 7.445 * [backup-simplify]: Simplify 1 into 1 7.445 * [backup-simplify]: Simplify (+ 0 1) into 1 7.445 * [backup-simplify]: Simplify (* 1 0) into 0 7.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.446 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 7.446 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 7.446 * [backup-simplify]: Simplify (/ 1 1) into 1 7.446 * [taylor]: Taking taylor expansion of 1 in y 7.446 * [backup-simplify]: Simplify 1 into 1 7.446 * [backup-simplify]: Simplify 0 into 0 7.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 7.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.447 * [backup-simplify]: Simplify (+ 0 0) into 0 7.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 1) (* 0 0))) into (/ 1 y) 7.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 7.448 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 7.448 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.448 * [taylor]: Taking taylor expansion of y in y 7.448 * [backup-simplify]: Simplify 0 into 0 7.448 * [backup-simplify]: Simplify 1 into 1 7.448 * [backup-simplify]: Simplify (/ 1 1) into 1 7.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.449 * [backup-simplify]: Simplify (- 0) into 0 7.449 * [backup-simplify]: Simplify 0 into 0 7.449 * [backup-simplify]: Simplify 0 into 0 7.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.450 * [backup-simplify]: Simplify (+ 0 0) into 0 7.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 1) (* 0 0)))) into 0 7.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 7.451 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.451 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.451 * [taylor]: Taking taylor expansion of y in y 7.451 * [backup-simplify]: Simplify 0 into 0 7.451 * [backup-simplify]: Simplify 1 into 1 7.452 * [backup-simplify]: Simplify (* 1 1) into 1 7.452 * [backup-simplify]: Simplify (/ 1 1) into 1 7.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.455 * [backup-simplify]: Simplify 0 into 0 7.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.456 * [backup-simplify]: Simplify (- 0) into 0 7.456 * [backup-simplify]: Simplify 0 into 0 7.456 * [backup-simplify]: Simplify 0 into 0 7.456 * [backup-simplify]: Simplify 0 into 0 7.456 * [backup-simplify]: Simplify (/ 1 (/ (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x)))) into (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) 7.456 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 7.456 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 7.456 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 7.456 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 7.456 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.456 * [taylor]: Taking taylor expansion of y in y 7.456 * [backup-simplify]: Simplify 0 into 0 7.456 * [backup-simplify]: Simplify 1 into 1 7.456 * [backup-simplify]: Simplify (/ 1 1) into 1 7.456 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.456 * [taylor]: Taking taylor expansion of x in y 7.456 * [backup-simplify]: Simplify x into x 7.457 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.457 * [taylor]: Taking taylor expansion of x in y 7.457 * [backup-simplify]: Simplify x into x 7.457 * [backup-simplify]: Simplify (+ 1 0) into 1 7.457 * [backup-simplify]: Simplify (* 1 x) into x 7.457 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.457 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 7.457 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 7.457 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.457 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.457 * [taylor]: Taking taylor expansion of y in x 7.457 * [backup-simplify]: Simplify y into y 7.457 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.457 * [taylor]: Taking taylor expansion of x in x 7.457 * [backup-simplify]: Simplify 0 into 0 7.457 * [backup-simplify]: Simplify 1 into 1 7.457 * [backup-simplify]: Simplify (/ 1 1) into 1 7.457 * [taylor]: Taking taylor expansion of x in x 7.457 * [backup-simplify]: Simplify 0 into 0 7.457 * [backup-simplify]: Simplify 1 into 1 7.458 * [backup-simplify]: Simplify (+ 0 1) into 1 7.458 * [backup-simplify]: Simplify (* 1 0) into 0 7.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.458 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 7.459 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 7.459 * [backup-simplify]: Simplify (/ 1 1) into 1 7.459 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 7.459 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 7.459 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.459 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.459 * [taylor]: Taking taylor expansion of y in x 7.459 * [backup-simplify]: Simplify y into y 7.459 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.459 * [taylor]: Taking taylor expansion of x in x 7.459 * [backup-simplify]: Simplify 0 into 0 7.459 * [backup-simplify]: Simplify 1 into 1 7.460 * [backup-simplify]: Simplify (/ 1 1) into 1 7.460 * [taylor]: Taking taylor expansion of x in x 7.460 * [backup-simplify]: Simplify 0 into 0 7.460 * [backup-simplify]: Simplify 1 into 1 7.460 * [backup-simplify]: Simplify (+ 0 1) into 1 7.460 * [backup-simplify]: Simplify (* 1 0) into 0 7.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.461 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 7.461 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 7.461 * [backup-simplify]: Simplify (/ 1 1) into 1 7.462 * [taylor]: Taking taylor expansion of 1 in y 7.462 * [backup-simplify]: Simplify 1 into 1 7.462 * [backup-simplify]: Simplify 0 into 0 7.462 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 7.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.462 * [backup-simplify]: Simplify (+ 0 0) into 0 7.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 1) (* 0 0))) into (/ 1 y) 7.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 7.463 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 7.463 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.463 * [taylor]: Taking taylor expansion of y in y 7.463 * [backup-simplify]: Simplify 0 into 0 7.463 * [backup-simplify]: Simplify 1 into 1 7.463 * [backup-simplify]: Simplify (/ 1 1) into 1 7.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.465 * [backup-simplify]: Simplify (- 0) into 0 7.465 * [backup-simplify]: Simplify 0 into 0 7.465 * [backup-simplify]: Simplify 0 into 0 7.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.465 * [backup-simplify]: Simplify (+ 0 0) into 0 7.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 1) (* 0 0)))) into 0 7.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 7.467 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.467 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.467 * [taylor]: Taking taylor expansion of y in y 7.467 * [backup-simplify]: Simplify 0 into 0 7.467 * [backup-simplify]: Simplify 1 into 1 7.467 * [backup-simplify]: Simplify (* 1 1) into 1 7.467 * [backup-simplify]: Simplify (/ 1 1) into 1 7.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.470 * [backup-simplify]: Simplify 0 into 0 7.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.471 * [backup-simplify]: Simplify (- 0) into 0 7.471 * [backup-simplify]: Simplify 0 into 0 7.471 * [backup-simplify]: Simplify 0 into 0 7.471 * [backup-simplify]: Simplify 0 into 0 7.471 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 7.471 * [backup-simplify]: Simplify (/ (+ x y) x) into (/ (+ x y) x) 7.471 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (x y) around 0 7.471 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 7.471 * [taylor]: Taking taylor expansion of (+ x y) in y 7.471 * [taylor]: Taking taylor expansion of x in y 7.471 * [backup-simplify]: Simplify x into x 7.471 * [taylor]: Taking taylor expansion of y in y 7.471 * [backup-simplify]: Simplify 0 into 0 7.471 * [backup-simplify]: Simplify 1 into 1 7.471 * [taylor]: Taking taylor expansion of x in y 7.471 * [backup-simplify]: Simplify x into x 7.471 * [backup-simplify]: Simplify (+ x 0) into x 7.471 * [backup-simplify]: Simplify (/ x x) into 1 7.471 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 7.472 * [taylor]: Taking taylor expansion of (+ x y) in x 7.472 * [taylor]: Taking taylor expansion of x in x 7.472 * [backup-simplify]: Simplify 0 into 0 7.472 * [backup-simplify]: Simplify 1 into 1 7.472 * [taylor]: Taking taylor expansion of y in x 7.472 * [backup-simplify]: Simplify y into y 7.472 * [taylor]: Taking taylor expansion of x in x 7.472 * [backup-simplify]: Simplify 0 into 0 7.472 * [backup-simplify]: Simplify 1 into 1 7.472 * [backup-simplify]: Simplify (+ 0 y) into y 7.472 * [backup-simplify]: Simplify (/ y 1) into y 7.472 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 7.472 * [taylor]: Taking taylor expansion of (+ x y) in x 7.472 * [taylor]: Taking taylor expansion of x in x 7.472 * [backup-simplify]: Simplify 0 into 0 7.472 * [backup-simplify]: Simplify 1 into 1 7.472 * [taylor]: Taking taylor expansion of y in x 7.472 * [backup-simplify]: Simplify y into y 7.472 * [taylor]: Taking taylor expansion of x in x 7.472 * [backup-simplify]: Simplify 0 into 0 7.472 * [backup-simplify]: Simplify 1 into 1 7.472 * [backup-simplify]: Simplify (+ 0 y) into y 7.472 * [backup-simplify]: Simplify (/ y 1) into y 7.472 * [taylor]: Taking taylor expansion of y in y 7.472 * [backup-simplify]: Simplify 0 into 0 7.472 * [backup-simplify]: Simplify 1 into 1 7.472 * [backup-simplify]: Simplify 0 into 0 7.472 * [backup-simplify]: Simplify (+ 1 0) into 1 7.473 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* y (/ 0 1)))) into 1 7.473 * [taylor]: Taking taylor expansion of 1 in y 7.473 * [backup-simplify]: Simplify 1 into 1 7.473 * [backup-simplify]: Simplify 1 into 1 7.473 * [backup-simplify]: Simplify 1 into 1 7.473 * [backup-simplify]: Simplify (+ 0 0) into 0 7.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 1 (/ 0 1)))) into 0 7.474 * [taylor]: Taking taylor expansion of 0 in y 7.474 * [backup-simplify]: Simplify 0 into 0 7.474 * [backup-simplify]: Simplify 0 into 0 7.474 * [backup-simplify]: Simplify 0 into 0 7.474 * [backup-simplify]: Simplify 0 into 0 7.474 * [backup-simplify]: Simplify (+ 0 0) into 0 7.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.475 * [taylor]: Taking taylor expansion of 0 in y 7.475 * [backup-simplify]: Simplify 0 into 0 7.475 * [backup-simplify]: Simplify 0 into 0 7.476 * [backup-simplify]: Simplify 0 into 0 7.476 * [backup-simplify]: Simplify 0 into 0 7.476 * [backup-simplify]: Simplify (+ (* 1 (* y (/ 1 x))) 1) into (+ (/ y x) 1) 7.476 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (/ 1 x)) into (* (+ (/ 1 y) (/ 1 x)) x) 7.476 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 7.476 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 7.476 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 7.476 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.476 * [taylor]: Taking taylor expansion of y in y 7.476 * [backup-simplify]: Simplify 0 into 0 7.476 * [backup-simplify]: Simplify 1 into 1 7.476 * [backup-simplify]: Simplify (/ 1 1) into 1 7.476 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.476 * [taylor]: Taking taylor expansion of x in y 7.476 * [backup-simplify]: Simplify x into x 7.476 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.476 * [taylor]: Taking taylor expansion of x in y 7.476 * [backup-simplify]: Simplify x into x 7.476 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 7.476 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.476 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.476 * [taylor]: Taking taylor expansion of y in x 7.476 * [backup-simplify]: Simplify y into y 7.476 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.476 * [taylor]: Taking taylor expansion of x in x 7.476 * [backup-simplify]: Simplify 0 into 0 7.476 * [backup-simplify]: Simplify 1 into 1 7.477 * [backup-simplify]: Simplify (/ 1 1) into 1 7.477 * [taylor]: Taking taylor expansion of x in x 7.477 * [backup-simplify]: Simplify 0 into 0 7.477 * [backup-simplify]: Simplify 1 into 1 7.477 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 7.477 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.477 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.477 * [taylor]: Taking taylor expansion of y in x 7.477 * [backup-simplify]: Simplify y into y 7.477 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.477 * [taylor]: Taking taylor expansion of x in x 7.477 * [backup-simplify]: Simplify 0 into 0 7.477 * [backup-simplify]: Simplify 1 into 1 7.477 * [backup-simplify]: Simplify (/ 1 1) into 1 7.477 * [taylor]: Taking taylor expansion of x in x 7.477 * [backup-simplify]: Simplify 0 into 0 7.477 * [backup-simplify]: Simplify 1 into 1 7.478 * [backup-simplify]: Simplify (+ 0 1) into 1 7.478 * [backup-simplify]: Simplify (* 1 0) into 0 7.478 * [taylor]: Taking taylor expansion of 0 in y 7.478 * [backup-simplify]: Simplify 0 into 0 7.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.478 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 7.479 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 7.479 * [taylor]: Taking taylor expansion of 1 in y 7.479 * [backup-simplify]: Simplify 1 into 1 7.479 * [backup-simplify]: Simplify 0 into 0 7.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 7.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.479 * [backup-simplify]: Simplify (+ 0 0) into 0 7.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 1) (* 0 0))) into (/ 1 y) 7.480 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.480 * [taylor]: Taking taylor expansion of y in y 7.480 * [backup-simplify]: Simplify 0 into 0 7.480 * [backup-simplify]: Simplify 1 into 1 7.480 * [backup-simplify]: Simplify (/ 1 1) into 1 7.480 * [backup-simplify]: Simplify 1 into 1 7.480 * [backup-simplify]: Simplify 1 into 1 7.480 * [backup-simplify]: Simplify 0 into 0 7.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.481 * [backup-simplify]: Simplify (+ 0 0) into 0 7.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 1) (* 0 0)))) into 0 7.482 * [taylor]: Taking taylor expansion of 0 in y 7.482 * [backup-simplify]: Simplify 0 into 0 7.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.482 * [backup-simplify]: Simplify 0 into 0 7.482 * [backup-simplify]: Simplify 0 into 0 7.482 * [backup-simplify]: Simplify 0 into 0 7.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.483 * [backup-simplify]: Simplify (+ 0 0) into 0 7.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.484 * [taylor]: Taking taylor expansion of 0 in y 7.484 * [backup-simplify]: Simplify 0 into 0 7.484 * [backup-simplify]: Simplify 0 into 0 7.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.485 * [backup-simplify]: Simplify 0 into 0 7.485 * [backup-simplify]: Simplify (+ 1 (* 1 (* (/ 1 (/ 1 y)) (/ 1 x)))) into (+ (/ y x) 1) 7.485 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) into (* (+ (/ 1 y) (/ 1 x)) x) 7.485 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 7.485 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 7.485 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 7.485 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.485 * [taylor]: Taking taylor expansion of y in y 7.485 * [backup-simplify]: Simplify 0 into 0 7.485 * [backup-simplify]: Simplify 1 into 1 7.485 * [backup-simplify]: Simplify (/ 1 1) into 1 7.485 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.485 * [taylor]: Taking taylor expansion of x in y 7.485 * [backup-simplify]: Simplify x into x 7.485 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.485 * [taylor]: Taking taylor expansion of x in y 7.485 * [backup-simplify]: Simplify x into x 7.485 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 7.485 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.486 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.486 * [taylor]: Taking taylor expansion of y in x 7.486 * [backup-simplify]: Simplify y into y 7.486 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.486 * [taylor]: Taking taylor expansion of x in x 7.486 * [backup-simplify]: Simplify 0 into 0 7.486 * [backup-simplify]: Simplify 1 into 1 7.486 * [backup-simplify]: Simplify (/ 1 1) into 1 7.486 * [taylor]: Taking taylor expansion of x in x 7.486 * [backup-simplify]: Simplify 0 into 0 7.486 * [backup-simplify]: Simplify 1 into 1 7.486 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 7.486 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 7.486 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.486 * [taylor]: Taking taylor expansion of y in x 7.486 * [backup-simplify]: Simplify y into y 7.486 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.486 * [taylor]: Taking taylor expansion of x in x 7.486 * [backup-simplify]: Simplify 0 into 0 7.486 * [backup-simplify]: Simplify 1 into 1 7.486 * [backup-simplify]: Simplify (/ 1 1) into 1 7.486 * [taylor]: Taking taylor expansion of x in x 7.486 * [backup-simplify]: Simplify 0 into 0 7.486 * [backup-simplify]: Simplify 1 into 1 7.487 * [backup-simplify]: Simplify (+ 0 1) into 1 7.487 * [backup-simplify]: Simplify (* 1 0) into 0 7.487 * [taylor]: Taking taylor expansion of 0 in y 7.487 * [backup-simplify]: Simplify 0 into 0 7.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.488 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 7.489 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 7.489 * [taylor]: Taking taylor expansion of 1 in y 7.489 * [backup-simplify]: Simplify 1 into 1 7.489 * [backup-simplify]: Simplify 0 into 0 7.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 7.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.490 * [backup-simplify]: Simplify (+ 0 0) into 0 7.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 1) (* 0 0))) into (/ 1 y) 7.491 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.491 * [taylor]: Taking taylor expansion of y in y 7.491 * [backup-simplify]: Simplify 0 into 0 7.491 * [backup-simplify]: Simplify 1 into 1 7.491 * [backup-simplify]: Simplify (/ 1 1) into 1 7.491 * [backup-simplify]: Simplify 1 into 1 7.491 * [backup-simplify]: Simplify 1 into 1 7.491 * [backup-simplify]: Simplify 0 into 0 7.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.493 * [backup-simplify]: Simplify (+ 0 0) into 0 7.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 1) (* 0 0)))) into 0 7.494 * [taylor]: Taking taylor expansion of 0 in y 7.494 * [backup-simplify]: Simplify 0 into 0 7.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.495 * [backup-simplify]: Simplify 0 into 0 7.495 * [backup-simplify]: Simplify 0 into 0 7.495 * [backup-simplify]: Simplify 0 into 0 7.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.496 * [backup-simplify]: Simplify (+ 0 0) into 0 7.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.498 * [taylor]: Taking taylor expansion of 0 in y 7.498 * [backup-simplify]: Simplify 0 into 0 7.498 * [backup-simplify]: Simplify 0 into 0 7.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.499 * [backup-simplify]: Simplify 0 into 0 7.499 * [backup-simplify]: Simplify (+ 1 (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (- x))))) into (+ (/ y x) 1) 7.499 * * * [progress]: simplifying candidates 7.502 * [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) 7.507 * * [simplify]: Extracting # 0 : cost 0 7.507 * * [simplify]: Extracting # 1 : cost 0 7.508 * * [simplify]: Extracting # 2 : cost 0 7.508 * * [simplify]: Extracting # 3 : cost 0 7.509 * * [simplify]: Extracting # 4 : cost 0 7.509 * * [simplify]: Extracting # 5 : cost 0 7.509 * * [simplify]: Extracting # 6 : cost 0 7.510 * * [simplify]: Extracting # 7 : cost 0 7.510 * * [simplify]: iteration 0 : 160 enodes (cost 1662 ) 7.600 * * [simplify]: Extracting # 0 : cost 0 7.600 * * [simplify]: Extracting # 1 : cost 0 7.600 * * [simplify]: Extracting # 2 : cost 0 7.601 * * [simplify]: Extracting # 3 : cost 0 7.601 * * [simplify]: Extracting # 4 : cost 0 7.601 * * [simplify]: iteration 1 : 339 enodes (cost 1374 ) 7.696 * * [simplify]: Extracting # 0 : cost 0 7.697 * * [simplify]: Extracting # 1 : cost 0 7.698 * * [simplify]: Extracting # 2 : cost 0 7.699 * * [simplify]: Extracting # 3 : cost 0 7.700 * * [simplify]: Extracting # 4 : cost 0 7.701 * * [simplify]: iteration 2 : 664 enodes (cost 1203 ) 8.145 * * [simplify]: Extracting # 0 : cost 0 8.146 * * [simplify]: Extracting # 1 : cost 0 8.147 * * [simplify]: Extracting # 2 : cost 0 8.148 * * [simplify]: Extracting # 3 : cost 0 8.154 * * [simplify]: Extracting # 4 : cost 0 8.155 * * [simplify]: Extracting # 5 : cost 0 8.156 * * [simplify]: iteration 3 : 1377 enodes (cost 1179 ) 9.408 * * [simplify]: Extracting # 0 : cost 0 9.413 * * [simplify]: Extracting # 1 : cost 0 9.416 * * [simplify]: Extracting # 2 : cost 0 9.420 * * [simplify]: Extracting # 3 : cost 0 9.423 * * [simplify]: Extracting # 4 : cost 0 9.427 * * [simplify]: iteration 4 : 2622 enodes (cost 1179 ) 11.834 * * [simplify]: Extracting # 0 : cost 0 11.839 * * [simplify]: Extracting # 1 : cost 0 11.843 * * [simplify]: Extracting # 2 : cost 0 11.846 * * [simplify]: Extracting # 3 : cost 0 11.850 * * [simplify]: Extracting # 4 : cost 0 11.854 * * [simplify]: iteration done: 5000 enodes (cost 1178 ) 11.855 * [simplify]: Simplified to: (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) -1 (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (pow (/ x (+ x y)) 3) (pow (/ x (+ x y)) 3) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (pow (/ x (+ x y)) 3) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) -1 (- -1 (/ y x)) (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (/ 1 (cbrt (+ x y))) (cbrt (+ x y))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (/ 1 (cbrt (+ x y))) (cbrt (+ x y))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (/ 1 (cbrt (+ x y))) (cbrt (+ x y))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ x (+ x y)) (/ (+ x y) x) (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (/ 1 (cbrt (+ x y))) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (sqrt x) 1 (* (cbrt x) (cbrt x)) (sqrt x) 1 1 (/ 1 (+ x y)) (/ (+ x y) x) (/ (+ x y) x) (/ (+ x y) x) (/ 1 (+ x y)) (expm1 (/ (+ x y) x)) (log1p (/ (+ x y) x)) (log (/ (+ x y) x)) (log (/ (+ x y) x)) (exp (/ (+ x y) x)) (pow (/ (+ x y) x) 3) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x)) (pow (/ (+ x y) x) 3) (sqrt (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (- (+ x y)) (- x) (* (/ (cbrt (+ x y)) (cbrt x)) (/ (cbrt (+ x y)) (cbrt x))) (/ (cbrt (+ x y)) (cbrt x)) (* (/ (cbrt (+ x y)) (sqrt x)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (sqrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) x) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ x y)) (cbrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (sqrt x)) (sqrt (+ x y)) (/ (sqrt (+ x y)) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) 1 (/ (+ x y) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) 1 (/ (+ x y) x) (/ 1 x) (/ x (+ x y)) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (+ x y) (/ x (cbrt (+ x y))) (/ x (sqrt (+ x y))) (/ x (+ x y)) (/ x (+ x y)) (* x (fma x x (* y (- y x)))) (* x (- x y)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 11.856 * * * [progress]: adding candidates to table 12.062 * * [progress]: iteration 4 / 4 12.062 * * * [progress]: picking best candidate 12.064 * * * * [pick]: Picked # 12.064 * * * [progress]: localizing error 12.078 * * * [progress]: generating rewritten candidates 12.078 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 12.106 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 12.129 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 12.220 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 12.264 * * * [progress]: generating series expansions 12.264 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 12.264 * [backup-simplify]: Simplify (sqrt (/ x (+ x y))) into (sqrt (/ x (+ x y))) 12.264 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 12.264 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 12.264 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 12.264 * [taylor]: Taking taylor expansion of x in y 12.264 * [backup-simplify]: Simplify x into x 12.264 * [taylor]: Taking taylor expansion of (+ x y) in y 12.264 * [taylor]: Taking taylor expansion of x in y 12.264 * [backup-simplify]: Simplify x into x 12.264 * [taylor]: Taking taylor expansion of y in y 12.264 * [backup-simplify]: Simplify 0 into 0 12.264 * [backup-simplify]: Simplify 1 into 1 12.264 * [backup-simplify]: Simplify (+ x 0) into x 12.264 * [backup-simplify]: Simplify (/ x x) into 1 12.265 * [backup-simplify]: Simplify (sqrt 1) into 1 12.266 * [backup-simplify]: Simplify (+ 0 1) into 1 12.266 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 1 x)))) into (- (/ 1 x)) 12.266 * [backup-simplify]: Simplify (/ (- (/ 1 x)) (* 2 (sqrt 1))) into (/ -1/2 x) 12.267 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 12.267 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.267 * [taylor]: Taking taylor expansion of x in x 12.267 * [backup-simplify]: Simplify 0 into 0 12.267 * [backup-simplify]: Simplify 1 into 1 12.267 * [taylor]: Taking taylor expansion of (+ x y) in x 12.267 * [taylor]: Taking taylor expansion of x in x 12.267 * [backup-simplify]: Simplify 0 into 0 12.267 * [backup-simplify]: Simplify 1 into 1 12.267 * [taylor]: Taking taylor expansion of y in x 12.267 * [backup-simplify]: Simplify y into y 12.267 * [backup-simplify]: Simplify (+ 0 y) into y 12.267 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.267 * [backup-simplify]: Simplify (sqrt 0) into 0 12.268 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 12.268 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 12.268 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.268 * [taylor]: Taking taylor expansion of x in x 12.268 * [backup-simplify]: Simplify 0 into 0 12.268 * [backup-simplify]: Simplify 1 into 1 12.268 * [taylor]: Taking taylor expansion of (+ x y) in x 12.268 * [taylor]: Taking taylor expansion of x in x 12.268 * [backup-simplify]: Simplify 0 into 0 12.268 * [backup-simplify]: Simplify 1 into 1 12.268 * [taylor]: Taking taylor expansion of y in x 12.268 * [backup-simplify]: Simplify y into y 12.268 * [backup-simplify]: Simplify (+ 0 y) into y 12.268 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.269 * [backup-simplify]: Simplify (sqrt 0) into 0 12.269 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 12.269 * [taylor]: Taking taylor expansion of 0 in y 12.269 * [backup-simplify]: Simplify 0 into 0 12.269 * [backup-simplify]: Simplify 0 into 0 12.269 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 12.269 * [taylor]: Taking taylor expansion of +nan.0 in y 12.269 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.269 * [taylor]: Taking taylor expansion of y in y 12.270 * [backup-simplify]: Simplify 0 into 0 12.270 * [backup-simplify]: Simplify 1 into 1 12.270 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 12.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 12.271 * [backup-simplify]: Simplify 0 into 0 12.271 * [backup-simplify]: Simplify 0 into 0 12.271 * [backup-simplify]: Simplify (+ 1 0) into 1 12.272 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 12.273 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 2))) (pow (/ +nan.0 y) 2) (+)) (* 2 0)) into (/ +nan.0 (pow y 2)) 12.273 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 12.273 * [taylor]: Taking taylor expansion of +nan.0 in y 12.273 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.273 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.273 * [taylor]: Taking taylor expansion of y in y 12.273 * [backup-simplify]: Simplify 0 into 0 12.273 * [backup-simplify]: Simplify 1 into 1 12.274 * [backup-simplify]: Simplify (* 1 1) into 1 12.274 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 12.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 12.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.277 * [backup-simplify]: Simplify 0 into 0 12.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.279 * [backup-simplify]: Simplify 0 into 0 12.279 * [backup-simplify]: Simplify 0 into 0 12.279 * [backup-simplify]: Simplify 0 into 0 12.279 * [backup-simplify]: Simplify (sqrt (/ (/ 1 x) (+ (/ 1 x) (/ 1 y)))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 12.279 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 12.279 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 12.279 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.279 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.279 * [taylor]: Taking taylor expansion of x in y 12.279 * [backup-simplify]: Simplify x into x 12.279 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.279 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.279 * [taylor]: Taking taylor expansion of y in y 12.279 * [backup-simplify]: Simplify 0 into 0 12.280 * [backup-simplify]: Simplify 1 into 1 12.280 * [backup-simplify]: Simplify (/ 1 1) into 1 12.280 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.280 * [taylor]: Taking taylor expansion of x in y 12.280 * [backup-simplify]: Simplify x into x 12.280 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.281 * [backup-simplify]: Simplify (+ 1 0) into 1 12.281 * [backup-simplify]: Simplify (* x 1) into x 12.281 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.281 * [backup-simplify]: Simplify (sqrt 0) into 0 12.282 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 12.282 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.282 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.282 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.282 * [taylor]: Taking taylor expansion of x in x 12.282 * [backup-simplify]: Simplify 0 into 0 12.282 * [backup-simplify]: Simplify 1 into 1 12.282 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.282 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.282 * [taylor]: Taking taylor expansion of y in x 12.282 * [backup-simplify]: Simplify y into y 12.282 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.282 * [taylor]: Taking taylor expansion of x in x 12.282 * [backup-simplify]: Simplify 0 into 0 12.282 * [backup-simplify]: Simplify 1 into 1 12.283 * [backup-simplify]: Simplify (/ 1 1) into 1 12.283 * [backup-simplify]: Simplify (+ 0 1) into 1 12.284 * [backup-simplify]: Simplify (* 0 1) into 0 12.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.284 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.285 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.285 * [backup-simplify]: Simplify (/ 1 1) into 1 12.286 * [backup-simplify]: Simplify (sqrt 1) into 1 12.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.287 * [backup-simplify]: Simplify (+ 0 0) into 0 12.288 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.289 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.289 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.289 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.289 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.289 * [taylor]: Taking taylor expansion of x in x 12.289 * [backup-simplify]: Simplify 0 into 0 12.289 * [backup-simplify]: Simplify 1 into 1 12.289 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.289 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.289 * [taylor]: Taking taylor expansion of y in x 12.289 * [backup-simplify]: Simplify y into y 12.289 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.289 * [taylor]: Taking taylor expansion of x in x 12.289 * [backup-simplify]: Simplify 0 into 0 12.289 * [backup-simplify]: Simplify 1 into 1 12.290 * [backup-simplify]: Simplify (/ 1 1) into 1 12.290 * [backup-simplify]: Simplify (+ 0 1) into 1 12.291 * [backup-simplify]: Simplify (* 0 1) into 0 12.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.291 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.292 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.292 * [backup-simplify]: Simplify (/ 1 1) into 1 12.292 * [backup-simplify]: Simplify (sqrt 1) into 1 12.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.294 * [backup-simplify]: Simplify (+ 0 0) into 0 12.295 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.296 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.296 * [taylor]: Taking taylor expansion of 1 in y 12.296 * [backup-simplify]: Simplify 1 into 1 12.296 * [backup-simplify]: Simplify 1 into 1 12.296 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 12.296 * [taylor]: Taking taylor expansion of -1/2 in y 12.296 * [backup-simplify]: Simplify -1/2 into -1/2 12.296 * [taylor]: Taking taylor expansion of y in y 12.296 * [backup-simplify]: Simplify 0 into 0 12.296 * [backup-simplify]: Simplify 1 into 1 12.296 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.297 * [backup-simplify]: Simplify 0 into 0 12.297 * [backup-simplify]: Simplify 0 into 0 12.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.299 * [backup-simplify]: Simplify (+ 0 0) into 0 12.300 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.302 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 12.302 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 12.302 * [taylor]: Taking taylor expansion of 3/8 in y 12.302 * [backup-simplify]: Simplify 3/8 into 3/8 12.302 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.303 * [taylor]: Taking taylor expansion of y in y 12.303 * [backup-simplify]: Simplify 0 into 0 12.303 * [backup-simplify]: Simplify 1 into 1 12.303 * [backup-simplify]: Simplify (* 1 1) into 1 12.303 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 12.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 12.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.307 * [backup-simplify]: Simplify 0 into 0 12.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.308 * [backup-simplify]: Simplify 0 into 0 12.308 * [backup-simplify]: Simplify 0 into 0 12.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.309 * [backup-simplify]: Simplify (+ 0 0) into 0 12.311 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 12.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 12.313 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 12.313 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 12.313 * [taylor]: Taking taylor expansion of -5/16 in y 12.313 * [backup-simplify]: Simplify -5/16 into -5/16 12.313 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.313 * [taylor]: Taking taylor expansion of y in y 12.313 * [backup-simplify]: Simplify 0 into 0 12.313 * [backup-simplify]: Simplify 1 into 1 12.314 * [backup-simplify]: Simplify (* 1 1) into 1 12.314 * [backup-simplify]: Simplify (* 1 1) into 1 12.315 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 12.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 12.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.322 * [backup-simplify]: Simplify 0 into 0 12.322 * [backup-simplify]: Simplify 1 into 1 12.323 * [backup-simplify]: Simplify (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y))))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 12.323 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 12.323 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 12.323 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.323 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.323 * [taylor]: Taking taylor expansion of x in y 12.323 * [backup-simplify]: Simplify x into x 12.323 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.323 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.323 * [taylor]: Taking taylor expansion of y in y 12.323 * [backup-simplify]: Simplify 0 into 0 12.323 * [backup-simplify]: Simplify 1 into 1 12.323 * [backup-simplify]: Simplify (/ 1 1) into 1 12.323 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.323 * [taylor]: Taking taylor expansion of x in y 12.323 * [backup-simplify]: Simplify x into x 12.323 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.324 * [backup-simplify]: Simplify (+ 1 0) into 1 12.324 * [backup-simplify]: Simplify (* x 1) into x 12.324 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.324 * [backup-simplify]: Simplify (sqrt 0) into 0 12.325 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 12.325 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.325 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.325 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.325 * [taylor]: Taking taylor expansion of x in x 12.325 * [backup-simplify]: Simplify 0 into 0 12.325 * [backup-simplify]: Simplify 1 into 1 12.325 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.325 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.325 * [taylor]: Taking taylor expansion of y in x 12.325 * [backup-simplify]: Simplify y into y 12.325 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.325 * [taylor]: Taking taylor expansion of x in x 12.325 * [backup-simplify]: Simplify 0 into 0 12.325 * [backup-simplify]: Simplify 1 into 1 12.325 * [backup-simplify]: Simplify (/ 1 1) into 1 12.326 * [backup-simplify]: Simplify (+ 0 1) into 1 12.326 * [backup-simplify]: Simplify (* 0 1) into 0 12.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.334 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.335 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.335 * [backup-simplify]: Simplify (/ 1 1) into 1 12.336 * [backup-simplify]: Simplify (sqrt 1) into 1 12.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.337 * [backup-simplify]: Simplify (+ 0 0) into 0 12.338 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.339 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.339 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.339 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.339 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.339 * [taylor]: Taking taylor expansion of x in x 12.339 * [backup-simplify]: Simplify 0 into 0 12.339 * [backup-simplify]: Simplify 1 into 1 12.339 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.339 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.339 * [taylor]: Taking taylor expansion of y in x 12.339 * [backup-simplify]: Simplify y into y 12.339 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.339 * [taylor]: Taking taylor expansion of x in x 12.339 * [backup-simplify]: Simplify 0 into 0 12.339 * [backup-simplify]: Simplify 1 into 1 12.340 * [backup-simplify]: Simplify (/ 1 1) into 1 12.340 * [backup-simplify]: Simplify (+ 0 1) into 1 12.340 * [backup-simplify]: Simplify (* 0 1) into 0 12.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.341 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.342 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.342 * [backup-simplify]: Simplify (/ 1 1) into 1 12.342 * [backup-simplify]: Simplify (sqrt 1) into 1 12.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.344 * [backup-simplify]: Simplify (+ 0 0) into 0 12.345 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.345 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.346 * [taylor]: Taking taylor expansion of 1 in y 12.346 * [backup-simplify]: Simplify 1 into 1 12.346 * [backup-simplify]: Simplify 1 into 1 12.346 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 12.346 * [taylor]: Taking taylor expansion of -1/2 in y 12.346 * [backup-simplify]: Simplify -1/2 into -1/2 12.346 * [taylor]: Taking taylor expansion of y in y 12.346 * [backup-simplify]: Simplify 0 into 0 12.346 * [backup-simplify]: Simplify 1 into 1 12.346 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.347 * [backup-simplify]: Simplify 0 into 0 12.347 * [backup-simplify]: Simplify 0 into 0 12.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.349 * [backup-simplify]: Simplify (+ 0 0) into 0 12.350 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.352 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 12.352 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 12.352 * [taylor]: Taking taylor expansion of 3/8 in y 12.352 * [backup-simplify]: Simplify 3/8 into 3/8 12.352 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.352 * [taylor]: Taking taylor expansion of y in y 12.352 * [backup-simplify]: Simplify 0 into 0 12.352 * [backup-simplify]: Simplify 1 into 1 12.352 * [backup-simplify]: Simplify (* 1 1) into 1 12.353 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 12.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 12.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.356 * [backup-simplify]: Simplify 0 into 0 12.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.357 * [backup-simplify]: Simplify 0 into 0 12.357 * [backup-simplify]: Simplify 0 into 0 12.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.359 * [backup-simplify]: Simplify (+ 0 0) into 0 12.360 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 12.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 12.363 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 12.363 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 12.363 * [taylor]: Taking taylor expansion of -5/16 in y 12.363 * [backup-simplify]: Simplify -5/16 into -5/16 12.363 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.363 * [taylor]: Taking taylor expansion of y in y 12.363 * [backup-simplify]: Simplify 0 into 0 12.363 * [backup-simplify]: Simplify 1 into 1 12.363 * [backup-simplify]: Simplify (* 1 1) into 1 12.364 * [backup-simplify]: Simplify (* 1 1) into 1 12.364 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 12.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 12.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.372 * [backup-simplify]: Simplify 0 into 0 12.372 * [backup-simplify]: Simplify 1 into 1 12.372 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 12.372 * [backup-simplify]: Simplify (sqrt (/ x (+ x y))) into (sqrt (/ x (+ x y))) 12.372 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 12.372 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 12.372 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 12.372 * [taylor]: Taking taylor expansion of x in y 12.372 * [backup-simplify]: Simplify x into x 12.372 * [taylor]: Taking taylor expansion of (+ x y) in y 12.372 * [taylor]: Taking taylor expansion of x in y 12.372 * [backup-simplify]: Simplify x into x 12.373 * [taylor]: Taking taylor expansion of y in y 12.373 * [backup-simplify]: Simplify 0 into 0 12.373 * [backup-simplify]: Simplify 1 into 1 12.373 * [backup-simplify]: Simplify (+ x 0) into x 12.373 * [backup-simplify]: Simplify (/ x x) into 1 12.373 * [backup-simplify]: Simplify (sqrt 1) into 1 12.373 * [backup-simplify]: Simplify (+ 0 1) into 1 12.374 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 1 x)))) into (- (/ 1 x)) 12.374 * [backup-simplify]: Simplify (/ (- (/ 1 x)) (* 2 (sqrt 1))) into (/ -1/2 x) 12.374 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 12.374 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.374 * [taylor]: Taking taylor expansion of x in x 12.374 * [backup-simplify]: Simplify 0 into 0 12.374 * [backup-simplify]: Simplify 1 into 1 12.374 * [taylor]: Taking taylor expansion of (+ x y) in x 12.374 * [taylor]: Taking taylor expansion of x in x 12.375 * [backup-simplify]: Simplify 0 into 0 12.375 * [backup-simplify]: Simplify 1 into 1 12.375 * [taylor]: Taking taylor expansion of y in x 12.375 * [backup-simplify]: Simplify y into y 12.375 * [backup-simplify]: Simplify (+ 0 y) into y 12.375 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.375 * [backup-simplify]: Simplify (sqrt 0) into 0 12.376 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 12.376 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 12.376 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.376 * [taylor]: Taking taylor expansion of x in x 12.376 * [backup-simplify]: Simplify 0 into 0 12.376 * [backup-simplify]: Simplify 1 into 1 12.376 * [taylor]: Taking taylor expansion of (+ x y) in x 12.376 * [taylor]: Taking taylor expansion of x in x 12.376 * [backup-simplify]: Simplify 0 into 0 12.376 * [backup-simplify]: Simplify 1 into 1 12.376 * [taylor]: Taking taylor expansion of y in x 12.376 * [backup-simplify]: Simplify y into y 12.376 * [backup-simplify]: Simplify (+ 0 y) into y 12.376 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.377 * [backup-simplify]: Simplify (sqrt 0) into 0 12.377 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 12.377 * [taylor]: Taking taylor expansion of 0 in y 12.377 * [backup-simplify]: Simplify 0 into 0 12.377 * [backup-simplify]: Simplify 0 into 0 12.377 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 12.377 * [taylor]: Taking taylor expansion of +nan.0 in y 12.377 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.377 * [taylor]: Taking taylor expansion of y in y 12.377 * [backup-simplify]: Simplify 0 into 0 12.377 * [backup-simplify]: Simplify 1 into 1 12.378 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 12.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 12.379 * [backup-simplify]: Simplify 0 into 0 12.379 * [backup-simplify]: Simplify 0 into 0 12.379 * [backup-simplify]: Simplify (+ 1 0) into 1 12.380 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 12.381 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 2))) (pow (/ +nan.0 y) 2) (+)) (* 2 0)) into (/ +nan.0 (pow y 2)) 12.381 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 12.381 * [taylor]: Taking taylor expansion of +nan.0 in y 12.381 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.381 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.381 * [taylor]: Taking taylor expansion of y in y 12.381 * [backup-simplify]: Simplify 0 into 0 12.381 * [backup-simplify]: Simplify 1 into 1 12.381 * [backup-simplify]: Simplify (* 1 1) into 1 12.382 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 12.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 12.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.386 * [backup-simplify]: Simplify 0 into 0 12.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.387 * [backup-simplify]: Simplify 0 into 0 12.387 * [backup-simplify]: Simplify 0 into 0 12.387 * [backup-simplify]: Simplify 0 into 0 12.387 * [backup-simplify]: Simplify (sqrt (/ (/ 1 x) (+ (/ 1 x) (/ 1 y)))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 12.387 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 12.387 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 12.387 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.387 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.387 * [taylor]: Taking taylor expansion of x in y 12.387 * [backup-simplify]: Simplify x into x 12.387 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.387 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.387 * [taylor]: Taking taylor expansion of y in y 12.387 * [backup-simplify]: Simplify 0 into 0 12.387 * [backup-simplify]: Simplify 1 into 1 12.388 * [backup-simplify]: Simplify (/ 1 1) into 1 12.388 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.388 * [taylor]: Taking taylor expansion of x in y 12.388 * [backup-simplify]: Simplify x into x 12.388 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.389 * [backup-simplify]: Simplify (+ 1 0) into 1 12.389 * [backup-simplify]: Simplify (* x 1) into x 12.389 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.389 * [backup-simplify]: Simplify (sqrt 0) into 0 12.390 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 12.390 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.390 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.390 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.390 * [taylor]: Taking taylor expansion of x in x 12.390 * [backup-simplify]: Simplify 0 into 0 12.390 * [backup-simplify]: Simplify 1 into 1 12.390 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.390 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.390 * [taylor]: Taking taylor expansion of y in x 12.390 * [backup-simplify]: Simplify y into y 12.390 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.390 * [taylor]: Taking taylor expansion of x in x 12.390 * [backup-simplify]: Simplify 0 into 0 12.390 * [backup-simplify]: Simplify 1 into 1 12.390 * [backup-simplify]: Simplify (/ 1 1) into 1 12.391 * [backup-simplify]: Simplify (+ 0 1) into 1 12.391 * [backup-simplify]: Simplify (* 0 1) into 0 12.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.392 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.392 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.393 * [backup-simplify]: Simplify (/ 1 1) into 1 12.393 * [backup-simplify]: Simplify (sqrt 1) into 1 12.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.395 * [backup-simplify]: Simplify (+ 0 0) into 0 12.396 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.396 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.396 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.396 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.396 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.396 * [taylor]: Taking taylor expansion of x in x 12.396 * [backup-simplify]: Simplify 0 into 0 12.397 * [backup-simplify]: Simplify 1 into 1 12.397 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.397 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.397 * [taylor]: Taking taylor expansion of y in x 12.397 * [backup-simplify]: Simplify y into y 12.397 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.397 * [taylor]: Taking taylor expansion of x in x 12.397 * [backup-simplify]: Simplify 0 into 0 12.397 * [backup-simplify]: Simplify 1 into 1 12.397 * [backup-simplify]: Simplify (/ 1 1) into 1 12.398 * [backup-simplify]: Simplify (+ 0 1) into 1 12.398 * [backup-simplify]: Simplify (* 0 1) into 0 12.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.399 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.399 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.400 * [backup-simplify]: Simplify (/ 1 1) into 1 12.400 * [backup-simplify]: Simplify (sqrt 1) into 1 12.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.401 * [backup-simplify]: Simplify (+ 0 0) into 0 12.402 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.403 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.403 * [taylor]: Taking taylor expansion of 1 in y 12.403 * [backup-simplify]: Simplify 1 into 1 12.403 * [backup-simplify]: Simplify 1 into 1 12.403 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 12.403 * [taylor]: Taking taylor expansion of -1/2 in y 12.403 * [backup-simplify]: Simplify -1/2 into -1/2 12.403 * [taylor]: Taking taylor expansion of y in y 12.403 * [backup-simplify]: Simplify 0 into 0 12.403 * [backup-simplify]: Simplify 1 into 1 12.404 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.405 * [backup-simplify]: Simplify 0 into 0 12.405 * [backup-simplify]: Simplify 0 into 0 12.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.406 * [backup-simplify]: Simplify (+ 0 0) into 0 12.407 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.409 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 12.409 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 12.409 * [taylor]: Taking taylor expansion of 3/8 in y 12.409 * [backup-simplify]: Simplify 3/8 into 3/8 12.409 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.409 * [taylor]: Taking taylor expansion of y in y 12.409 * [backup-simplify]: Simplify 0 into 0 12.409 * [backup-simplify]: Simplify 1 into 1 12.410 * [backup-simplify]: Simplify (* 1 1) into 1 12.410 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 12.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 12.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.414 * [backup-simplify]: Simplify 0 into 0 12.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.415 * [backup-simplify]: Simplify 0 into 0 12.415 * [backup-simplify]: Simplify 0 into 0 12.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.416 * [backup-simplify]: Simplify (+ 0 0) into 0 12.418 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 12.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 12.420 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 12.420 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 12.420 * [taylor]: Taking taylor expansion of -5/16 in y 12.420 * [backup-simplify]: Simplify -5/16 into -5/16 12.420 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.420 * [taylor]: Taking taylor expansion of y in y 12.420 * [backup-simplify]: Simplify 0 into 0 12.421 * [backup-simplify]: Simplify 1 into 1 12.421 * [backup-simplify]: Simplify (* 1 1) into 1 12.421 * [backup-simplify]: Simplify (* 1 1) into 1 12.422 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 12.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 12.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.429 * [backup-simplify]: Simplify 0 into 0 12.429 * [backup-simplify]: Simplify 1 into 1 12.430 * [backup-simplify]: Simplify (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y))))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 12.430 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 12.430 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 12.430 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.430 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.430 * [taylor]: Taking taylor expansion of x in y 12.430 * [backup-simplify]: Simplify x into x 12.430 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.430 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.430 * [taylor]: Taking taylor expansion of y in y 12.430 * [backup-simplify]: Simplify 0 into 0 12.430 * [backup-simplify]: Simplify 1 into 1 12.430 * [backup-simplify]: Simplify (/ 1 1) into 1 12.430 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.430 * [taylor]: Taking taylor expansion of x in y 12.430 * [backup-simplify]: Simplify x into x 12.431 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.431 * [backup-simplify]: Simplify (+ 1 0) into 1 12.431 * [backup-simplify]: Simplify (* x 1) into x 12.431 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.431 * [backup-simplify]: Simplify (sqrt 0) into 0 12.432 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 12.432 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.432 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.432 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.432 * [taylor]: Taking taylor expansion of x in x 12.432 * [backup-simplify]: Simplify 0 into 0 12.432 * [backup-simplify]: Simplify 1 into 1 12.432 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.432 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.432 * [taylor]: Taking taylor expansion of y in x 12.432 * [backup-simplify]: Simplify y into y 12.432 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.432 * [taylor]: Taking taylor expansion of x in x 12.432 * [backup-simplify]: Simplify 0 into 0 12.433 * [backup-simplify]: Simplify 1 into 1 12.433 * [backup-simplify]: Simplify (/ 1 1) into 1 12.433 * [backup-simplify]: Simplify (+ 0 1) into 1 12.434 * [backup-simplify]: Simplify (* 0 1) into 0 12.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.435 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.435 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.435 * [backup-simplify]: Simplify (/ 1 1) into 1 12.436 * [backup-simplify]: Simplify (sqrt 1) into 1 12.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.437 * [backup-simplify]: Simplify (+ 0 0) into 0 12.438 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.439 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.439 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 12.439 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.439 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.439 * [taylor]: Taking taylor expansion of x in x 12.439 * [backup-simplify]: Simplify 0 into 0 12.439 * [backup-simplify]: Simplify 1 into 1 12.439 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.439 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.439 * [taylor]: Taking taylor expansion of y in x 12.439 * [backup-simplify]: Simplify y into y 12.439 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.439 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.439 * [taylor]: Taking taylor expansion of x in x 12.439 * [backup-simplify]: Simplify 0 into 0 12.440 * [backup-simplify]: Simplify 1 into 1 12.440 * [backup-simplify]: Simplify (/ 1 1) into 1 12.440 * [backup-simplify]: Simplify (+ 0 1) into 1 12.441 * [backup-simplify]: Simplify (* 0 1) into 0 12.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.442 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.442 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.442 * [backup-simplify]: Simplify (/ 1 1) into 1 12.443 * [backup-simplify]: Simplify (sqrt 1) into 1 12.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.444 * [backup-simplify]: Simplify (+ 0 0) into 0 12.445 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.446 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 12.446 * [taylor]: Taking taylor expansion of 1 in y 12.446 * [backup-simplify]: Simplify 1 into 1 12.446 * [backup-simplify]: Simplify 1 into 1 12.446 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 12.446 * [taylor]: Taking taylor expansion of -1/2 in y 12.446 * [backup-simplify]: Simplify -1/2 into -1/2 12.446 * [taylor]: Taking taylor expansion of y in y 12.446 * [backup-simplify]: Simplify 0 into 0 12.446 * [backup-simplify]: Simplify 1 into 1 12.447 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 12.447 * [backup-simplify]: Simplify 0 into 0 12.447 * [backup-simplify]: Simplify 0 into 0 12.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.449 * [backup-simplify]: Simplify (+ 0 0) into 0 12.450 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.452 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 12.452 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 12.452 * [taylor]: Taking taylor expansion of 3/8 in y 12.452 * [backup-simplify]: Simplify 3/8 into 3/8 12.452 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.452 * [taylor]: Taking taylor expansion of y in y 12.452 * [backup-simplify]: Simplify 0 into 0 12.452 * [backup-simplify]: Simplify 1 into 1 12.453 * [backup-simplify]: Simplify (* 1 1) into 1 12.453 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 12.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 12.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.457 * [backup-simplify]: Simplify 0 into 0 12.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.458 * [backup-simplify]: Simplify 0 into 0 12.458 * [backup-simplify]: Simplify 0 into 0 12.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.460 * [backup-simplify]: Simplify (+ 0 0) into 0 12.461 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 12.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 12.464 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 12.464 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 12.464 * [taylor]: Taking taylor expansion of -5/16 in y 12.464 * [backup-simplify]: Simplify -5/16 into -5/16 12.464 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.464 * [taylor]: Taking taylor expansion of y in y 12.464 * [backup-simplify]: Simplify 0 into 0 12.464 * [backup-simplify]: Simplify 1 into 1 12.464 * [backup-simplify]: Simplify (* 1 1) into 1 12.465 * [backup-simplify]: Simplify (* 1 1) into 1 12.465 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 12.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 12.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.473 * [backup-simplify]: Simplify 0 into 0 12.473 * [backup-simplify]: Simplify 1 into 1 12.473 * * * * [progress]: [ 3 / 4 ] generating series at (2) 12.473 * [backup-simplify]: Simplify (* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y)))) into (/ x (+ x y)) 12.473 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 12.473 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 12.473 * [taylor]: Taking taylor expansion of x in y 12.473 * [backup-simplify]: Simplify x into x 12.473 * [taylor]: Taking taylor expansion of (+ x y) in y 12.473 * [taylor]: Taking taylor expansion of x in y 12.473 * [backup-simplify]: Simplify x into x 12.473 * [taylor]: Taking taylor expansion of y in y 12.473 * [backup-simplify]: Simplify 0 into 0 12.473 * [backup-simplify]: Simplify 1 into 1 12.473 * [backup-simplify]: Simplify (+ x 0) into x 12.474 * [backup-simplify]: Simplify (/ x x) into 1 12.474 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.474 * [taylor]: Taking taylor expansion of x in x 12.474 * [backup-simplify]: Simplify 0 into 0 12.474 * [backup-simplify]: Simplify 1 into 1 12.474 * [taylor]: Taking taylor expansion of (+ x y) in x 12.474 * [taylor]: Taking taylor expansion of x in x 12.474 * [backup-simplify]: Simplify 0 into 0 12.474 * [backup-simplify]: Simplify 1 into 1 12.474 * [taylor]: Taking taylor expansion of y in x 12.474 * [backup-simplify]: Simplify y into y 12.474 * [backup-simplify]: Simplify (+ 0 y) into y 12.474 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.474 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.474 * [taylor]: Taking taylor expansion of x in x 12.474 * [backup-simplify]: Simplify 0 into 0 12.474 * [backup-simplify]: Simplify 1 into 1 12.474 * [taylor]: Taking taylor expansion of (+ x y) in x 12.474 * [taylor]: Taking taylor expansion of x in x 12.474 * [backup-simplify]: Simplify 0 into 0 12.474 * [backup-simplify]: Simplify 1 into 1 12.474 * [taylor]: Taking taylor expansion of y in x 12.474 * [backup-simplify]: Simplify y into y 12.474 * [backup-simplify]: Simplify (+ 0 y) into y 12.474 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.474 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.474 * [taylor]: Taking taylor expansion of y in y 12.474 * [backup-simplify]: Simplify 0 into 0 12.474 * [backup-simplify]: Simplify 1 into 1 12.475 * [backup-simplify]: Simplify (/ 1 1) into 1 12.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.476 * [backup-simplify]: Simplify 0 into 0 12.476 * [backup-simplify]: Simplify (+ 1 0) into 1 12.476 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 12.476 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 12.476 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.476 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.476 * [taylor]: Taking taylor expansion of y in y 12.476 * [backup-simplify]: Simplify 0 into 0 12.477 * [backup-simplify]: Simplify 1 into 1 12.477 * [backup-simplify]: Simplify (* 1 1) into 1 12.477 * [backup-simplify]: Simplify (/ 1 1) into 1 12.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.485 * [backup-simplify]: Simplify (- 0) into 0 12.485 * [backup-simplify]: Simplify 0 into 0 12.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.486 * [backup-simplify]: Simplify 0 into 0 12.486 * [backup-simplify]: Simplify (+ 0 0) into 0 12.487 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 12.487 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 12.487 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.487 * [taylor]: Taking taylor expansion of y in y 12.487 * [backup-simplify]: Simplify 0 into 0 12.487 * [backup-simplify]: Simplify 1 into 1 12.487 * [backup-simplify]: Simplify (* 1 1) into 1 12.488 * [backup-simplify]: Simplify (* 1 1) into 1 12.488 * [backup-simplify]: Simplify (/ 1 1) into 1 12.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.496 * [backup-simplify]: Simplify 0 into 0 12.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.499 * [backup-simplify]: Simplify (- 0) into 0 12.499 * [backup-simplify]: Simplify 0 into 0 12.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.500 * [backup-simplify]: Simplify 0 into 0 12.500 * [backup-simplify]: Simplify 0 into 0 12.500 * [backup-simplify]: Simplify (* (sqrt (/ (/ 1 x) (+ (/ 1 x) (/ 1 y)))) (sqrt (/ (/ 1 x) (+ (/ 1 x) (/ 1 y))))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 12.500 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 12.500 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.500 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.500 * [taylor]: Taking taylor expansion of x in y 12.500 * [backup-simplify]: Simplify x into x 12.500 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.500 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.500 * [taylor]: Taking taylor expansion of y in y 12.500 * [backup-simplify]: Simplify 0 into 0 12.500 * [backup-simplify]: Simplify 1 into 1 12.501 * [backup-simplify]: Simplify (/ 1 1) into 1 12.501 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.501 * [taylor]: Taking taylor expansion of x in y 12.501 * [backup-simplify]: Simplify x into x 12.501 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.501 * [backup-simplify]: Simplify (+ 1 0) into 1 12.501 * [backup-simplify]: Simplify (* x 1) into x 12.502 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.502 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.502 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.502 * [taylor]: Taking taylor expansion of x in x 12.502 * [backup-simplify]: Simplify 0 into 0 12.502 * [backup-simplify]: Simplify 1 into 1 12.502 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.502 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.502 * [taylor]: Taking taylor expansion of y in x 12.502 * [backup-simplify]: Simplify y into y 12.502 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.502 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.502 * [taylor]: Taking taylor expansion of x in x 12.502 * [backup-simplify]: Simplify 0 into 0 12.502 * [backup-simplify]: Simplify 1 into 1 12.502 * [backup-simplify]: Simplify (/ 1 1) into 1 12.503 * [backup-simplify]: Simplify (+ 0 1) into 1 12.503 * [backup-simplify]: Simplify (* 0 1) into 0 12.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.504 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.504 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.505 * [backup-simplify]: Simplify (/ 1 1) into 1 12.505 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.505 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.505 * [taylor]: Taking taylor expansion of x in x 12.505 * [backup-simplify]: Simplify 0 into 0 12.505 * [backup-simplify]: Simplify 1 into 1 12.505 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.505 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.505 * [taylor]: Taking taylor expansion of y in x 12.505 * [backup-simplify]: Simplify y into y 12.505 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.505 * [taylor]: Taking taylor expansion of x in x 12.505 * [backup-simplify]: Simplify 0 into 0 12.505 * [backup-simplify]: Simplify 1 into 1 12.506 * [backup-simplify]: Simplify (/ 1 1) into 1 12.506 * [backup-simplify]: Simplify (+ 0 1) into 1 12.506 * [backup-simplify]: Simplify (* 0 1) into 0 12.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.507 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.507 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.507 * [backup-simplify]: Simplify (/ 1 1) into 1 12.508 * [taylor]: Taking taylor expansion of 1 in y 12.508 * [backup-simplify]: Simplify 1 into 1 12.508 * [backup-simplify]: Simplify 0 into 0 12.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.508 * [backup-simplify]: Simplify (+ 0 0) into 0 12.509 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.509 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 12.509 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.509 * [taylor]: Taking taylor expansion of y in y 12.509 * [backup-simplify]: Simplify 0 into 0 12.509 * [backup-simplify]: Simplify 1 into 1 12.509 * [backup-simplify]: Simplify (/ 1 1) into 1 12.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.511 * [backup-simplify]: Simplify (- 0) into 0 12.511 * [backup-simplify]: Simplify 0 into 0 12.511 * [backup-simplify]: Simplify 0 into 0 12.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.511 * [backup-simplify]: Simplify (+ 0 0) into 0 12.512 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.513 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.513 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.513 * [taylor]: Taking taylor expansion of y in y 12.513 * [backup-simplify]: Simplify 0 into 0 12.513 * [backup-simplify]: Simplify 1 into 1 12.513 * [backup-simplify]: Simplify (* 1 1) into 1 12.513 * [backup-simplify]: Simplify (/ 1 1) into 1 12.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.516 * [backup-simplify]: Simplify 0 into 0 12.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.517 * [backup-simplify]: Simplify (- 0) into 0 12.517 * [backup-simplify]: Simplify 0 into 0 12.517 * [backup-simplify]: Simplify 0 into 0 12.517 * [backup-simplify]: Simplify 0 into 0 12.518 * [backup-simplify]: Simplify (* (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y))))) (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y)))))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 12.518 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 12.518 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.518 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.518 * [taylor]: Taking taylor expansion of x in y 12.518 * [backup-simplify]: Simplify x into x 12.518 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.518 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.518 * [taylor]: Taking taylor expansion of y in y 12.518 * [backup-simplify]: Simplify 0 into 0 12.518 * [backup-simplify]: Simplify 1 into 1 12.518 * [backup-simplify]: Simplify (/ 1 1) into 1 12.518 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.518 * [taylor]: Taking taylor expansion of x in y 12.518 * [backup-simplify]: Simplify x into x 12.518 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.518 * [backup-simplify]: Simplify (+ 1 0) into 1 12.518 * [backup-simplify]: Simplify (* x 1) into x 12.518 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.518 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.519 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.519 * [taylor]: Taking taylor expansion of x in x 12.519 * [backup-simplify]: Simplify 0 into 0 12.519 * [backup-simplify]: Simplify 1 into 1 12.519 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.519 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.519 * [taylor]: Taking taylor expansion of y in x 12.519 * [backup-simplify]: Simplify y into y 12.519 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.519 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.519 * [taylor]: Taking taylor expansion of x in x 12.519 * [backup-simplify]: Simplify 0 into 0 12.519 * [backup-simplify]: Simplify 1 into 1 12.519 * [backup-simplify]: Simplify (/ 1 1) into 1 12.519 * [backup-simplify]: Simplify (+ 0 1) into 1 12.519 * [backup-simplify]: Simplify (* 0 1) into 0 12.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.520 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.520 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.520 * [backup-simplify]: Simplify (/ 1 1) into 1 12.520 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.521 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.521 * [taylor]: Taking taylor expansion of x in x 12.521 * [backup-simplify]: Simplify 0 into 0 12.521 * [backup-simplify]: Simplify 1 into 1 12.521 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.521 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.521 * [taylor]: Taking taylor expansion of y in x 12.521 * [backup-simplify]: Simplify y into y 12.521 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.521 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.521 * [taylor]: Taking taylor expansion of x in x 12.521 * [backup-simplify]: Simplify 0 into 0 12.521 * [backup-simplify]: Simplify 1 into 1 12.521 * [backup-simplify]: Simplify (/ 1 1) into 1 12.521 * [backup-simplify]: Simplify (+ 0 1) into 1 12.521 * [backup-simplify]: Simplify (* 0 1) into 0 12.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.522 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.522 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.522 * [backup-simplify]: Simplify (/ 1 1) into 1 12.523 * [taylor]: Taking taylor expansion of 1 in y 12.523 * [backup-simplify]: Simplify 1 into 1 12.523 * [backup-simplify]: Simplify 0 into 0 12.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.523 * [backup-simplify]: Simplify (+ 0 0) into 0 12.524 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.524 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 12.524 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.524 * [taylor]: Taking taylor expansion of y in y 12.524 * [backup-simplify]: Simplify 0 into 0 12.524 * [backup-simplify]: Simplify 1 into 1 12.524 * [backup-simplify]: Simplify (/ 1 1) into 1 12.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.525 * [backup-simplify]: Simplify (- 0) into 0 12.525 * [backup-simplify]: Simplify 0 into 0 12.526 * [backup-simplify]: Simplify 0 into 0 12.526 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.526 * [backup-simplify]: Simplify (+ 0 0) into 0 12.527 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.528 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.528 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.528 * [taylor]: Taking taylor expansion of y in y 12.528 * [backup-simplify]: Simplify 0 into 0 12.528 * [backup-simplify]: Simplify 1 into 1 12.528 * [backup-simplify]: Simplify (* 1 1) into 1 12.528 * [backup-simplify]: Simplify (/ 1 1) into 1 12.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.531 * [backup-simplify]: Simplify 0 into 0 12.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.532 * [backup-simplify]: Simplify (- 0) into 0 12.532 * [backup-simplify]: Simplify 0 into 0 12.532 * [backup-simplify]: Simplify 0 into 0 12.532 * [backup-simplify]: Simplify 0 into 0 12.532 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 12.532 * [backup-simplify]: Simplify (/ x (+ x y)) into (/ x (+ x y)) 12.532 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 12.532 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 12.532 * [taylor]: Taking taylor expansion of x in y 12.532 * [backup-simplify]: Simplify x into x 12.532 * [taylor]: Taking taylor expansion of (+ x y) in y 12.532 * [taylor]: Taking taylor expansion of x in y 12.532 * [backup-simplify]: Simplify x into x 12.532 * [taylor]: Taking taylor expansion of y in y 12.532 * [backup-simplify]: Simplify 0 into 0 12.532 * [backup-simplify]: Simplify 1 into 1 12.532 * [backup-simplify]: Simplify (+ x 0) into x 12.532 * [backup-simplify]: Simplify (/ x x) into 1 12.532 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.532 * [taylor]: Taking taylor expansion of x in x 12.532 * [backup-simplify]: Simplify 0 into 0 12.532 * [backup-simplify]: Simplify 1 into 1 12.532 * [taylor]: Taking taylor expansion of (+ x y) in x 12.532 * [taylor]: Taking taylor expansion of x in x 12.532 * [backup-simplify]: Simplify 0 into 0 12.532 * [backup-simplify]: Simplify 1 into 1 12.532 * [taylor]: Taking taylor expansion of y in x 12.532 * [backup-simplify]: Simplify y into y 12.532 * [backup-simplify]: Simplify (+ 0 y) into y 12.532 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.532 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.533 * [taylor]: Taking taylor expansion of x in x 12.533 * [backup-simplify]: Simplify 0 into 0 12.533 * [backup-simplify]: Simplify 1 into 1 12.533 * [taylor]: Taking taylor expansion of (+ x y) in x 12.533 * [taylor]: Taking taylor expansion of x in x 12.533 * [backup-simplify]: Simplify 0 into 0 12.533 * [backup-simplify]: Simplify 1 into 1 12.533 * [taylor]: Taking taylor expansion of y in x 12.533 * [backup-simplify]: Simplify y into y 12.533 * [backup-simplify]: Simplify (+ 0 y) into y 12.533 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.533 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.533 * [taylor]: Taking taylor expansion of y in y 12.533 * [backup-simplify]: Simplify 0 into 0 12.533 * [backup-simplify]: Simplify 1 into 1 12.533 * [backup-simplify]: Simplify (/ 1 1) into 1 12.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.534 * [backup-simplify]: Simplify 0 into 0 12.534 * [backup-simplify]: Simplify (+ 1 0) into 1 12.534 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 12.534 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 12.534 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.534 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.534 * [taylor]: Taking taylor expansion of y in y 12.534 * [backup-simplify]: Simplify 0 into 0 12.534 * [backup-simplify]: Simplify 1 into 1 12.534 * [backup-simplify]: Simplify (* 1 1) into 1 12.535 * [backup-simplify]: Simplify (/ 1 1) into 1 12.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.538 * [backup-simplify]: Simplify (- 0) into 0 12.538 * [backup-simplify]: Simplify 0 into 0 12.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.539 * [backup-simplify]: Simplify 0 into 0 12.540 * [backup-simplify]: Simplify (+ 0 0) into 0 12.540 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 12.540 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 12.540 * [taylor]: Taking taylor expansion of (pow y 3) in y 12.540 * [taylor]: Taking taylor expansion of y in y 12.540 * [backup-simplify]: Simplify 0 into 0 12.540 * [backup-simplify]: Simplify 1 into 1 12.541 * [backup-simplify]: Simplify (* 1 1) into 1 12.541 * [backup-simplify]: Simplify (* 1 1) into 1 12.541 * [backup-simplify]: Simplify (/ 1 1) into 1 12.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.549 * [backup-simplify]: Simplify 0 into 0 12.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.552 * [backup-simplify]: Simplify (- 0) into 0 12.552 * [backup-simplify]: Simplify 0 into 0 12.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.553 * [backup-simplify]: Simplify 0 into 0 12.553 * [backup-simplify]: Simplify 0 into 0 12.553 * [backup-simplify]: Simplify (/ (/ 1 x) (+ (/ 1 x) (/ 1 y))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 12.553 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 12.553 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.553 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.553 * [taylor]: Taking taylor expansion of x in y 12.553 * [backup-simplify]: Simplify x into x 12.553 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.553 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.553 * [taylor]: Taking taylor expansion of y in y 12.553 * [backup-simplify]: Simplify 0 into 0 12.554 * [backup-simplify]: Simplify 1 into 1 12.554 * [backup-simplify]: Simplify (/ 1 1) into 1 12.554 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.554 * [taylor]: Taking taylor expansion of x in y 12.554 * [backup-simplify]: Simplify x into x 12.554 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.554 * [backup-simplify]: Simplify (+ 1 0) into 1 12.554 * [backup-simplify]: Simplify (* x 1) into x 12.555 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.555 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.555 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.555 * [taylor]: Taking taylor expansion of x in x 12.555 * [backup-simplify]: Simplify 0 into 0 12.555 * [backup-simplify]: Simplify 1 into 1 12.555 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.555 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.555 * [taylor]: Taking taylor expansion of y in x 12.555 * [backup-simplify]: Simplify y into y 12.555 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.555 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.555 * [taylor]: Taking taylor expansion of x in x 12.555 * [backup-simplify]: Simplify 0 into 0 12.555 * [backup-simplify]: Simplify 1 into 1 12.555 * [backup-simplify]: Simplify (/ 1 1) into 1 12.556 * [backup-simplify]: Simplify (+ 0 1) into 1 12.556 * [backup-simplify]: Simplify (* 0 1) into 0 12.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.557 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.558 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.558 * [backup-simplify]: Simplify (/ 1 1) into 1 12.558 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.558 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.558 * [taylor]: Taking taylor expansion of x in x 12.558 * [backup-simplify]: Simplify 0 into 0 12.558 * [backup-simplify]: Simplify 1 into 1 12.558 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.558 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.558 * [taylor]: Taking taylor expansion of y in x 12.558 * [backup-simplify]: Simplify y into y 12.558 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.558 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.558 * [taylor]: Taking taylor expansion of x in x 12.558 * [backup-simplify]: Simplify 0 into 0 12.558 * [backup-simplify]: Simplify 1 into 1 12.559 * [backup-simplify]: Simplify (/ 1 1) into 1 12.559 * [backup-simplify]: Simplify (+ 0 1) into 1 12.560 * [backup-simplify]: Simplify (* 0 1) into 0 12.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.560 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.561 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.561 * [backup-simplify]: Simplify (/ 1 1) into 1 12.561 * [taylor]: Taking taylor expansion of 1 in y 12.561 * [backup-simplify]: Simplify 1 into 1 12.561 * [backup-simplify]: Simplify 0 into 0 12.562 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.563 * [backup-simplify]: Simplify (+ 0 0) into 0 12.564 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.564 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 12.564 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.564 * [taylor]: Taking taylor expansion of y in y 12.564 * [backup-simplify]: Simplify 0 into 0 12.564 * [backup-simplify]: Simplify 1 into 1 12.564 * [backup-simplify]: Simplify (/ 1 1) into 1 12.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.566 * [backup-simplify]: Simplify (- 0) into 0 12.566 * [backup-simplify]: Simplify 0 into 0 12.566 * [backup-simplify]: Simplify 0 into 0 12.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.568 * [backup-simplify]: Simplify (+ 0 0) into 0 12.569 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.570 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.570 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.570 * [taylor]: Taking taylor expansion of y in y 12.570 * [backup-simplify]: Simplify 0 into 0 12.570 * [backup-simplify]: Simplify 1 into 1 12.570 * [backup-simplify]: Simplify (* 1 1) into 1 12.571 * [backup-simplify]: Simplify (/ 1 1) into 1 12.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.576 * [backup-simplify]: Simplify 0 into 0 12.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.577 * [backup-simplify]: Simplify (- 0) into 0 12.577 * [backup-simplify]: Simplify 0 into 0 12.577 * [backup-simplify]: Simplify 0 into 0 12.577 * [backup-simplify]: Simplify 0 into 0 12.578 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 12.578 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 12.578 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 12.578 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 12.578 * [taylor]: Taking taylor expansion of x in y 12.578 * [backup-simplify]: Simplify x into x 12.578 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 12.578 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.578 * [taylor]: Taking taylor expansion of y in y 12.578 * [backup-simplify]: Simplify 0 into 0 12.578 * [backup-simplify]: Simplify 1 into 1 12.578 * [backup-simplify]: Simplify (/ 1 1) into 1 12.578 * [taylor]: Taking taylor expansion of (/ 1 x) in y 12.578 * [taylor]: Taking taylor expansion of x in y 12.578 * [backup-simplify]: Simplify x into x 12.579 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.579 * [backup-simplify]: Simplify (+ 1 0) into 1 12.579 * [backup-simplify]: Simplify (* x 1) into x 12.579 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 12.579 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.579 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.579 * [taylor]: Taking taylor expansion of x in x 12.579 * [backup-simplify]: Simplify 0 into 0 12.579 * [backup-simplify]: Simplify 1 into 1 12.579 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.579 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.579 * [taylor]: Taking taylor expansion of y in x 12.579 * [backup-simplify]: Simplify y into y 12.580 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.580 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.580 * [taylor]: Taking taylor expansion of x in x 12.580 * [backup-simplify]: Simplify 0 into 0 12.580 * [backup-simplify]: Simplify 1 into 1 12.580 * [backup-simplify]: Simplify (/ 1 1) into 1 12.581 * [backup-simplify]: Simplify (+ 0 1) into 1 12.581 * [backup-simplify]: Simplify (* 0 1) into 0 12.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.582 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.582 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.583 * [backup-simplify]: Simplify (/ 1 1) into 1 12.583 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 12.583 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 12.583 * [taylor]: Taking taylor expansion of x in x 12.583 * [backup-simplify]: Simplify 0 into 0 12.583 * [backup-simplify]: Simplify 1 into 1 12.583 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 12.583 * [taylor]: Taking taylor expansion of (/ 1 y) in x 12.583 * [taylor]: Taking taylor expansion of y in x 12.583 * [backup-simplify]: Simplify y into y 12.583 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 12.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 12.583 * [taylor]: Taking taylor expansion of x in x 12.583 * [backup-simplify]: Simplify 0 into 0 12.583 * [backup-simplify]: Simplify 1 into 1 12.584 * [backup-simplify]: Simplify (/ 1 1) into 1 12.584 * [backup-simplify]: Simplify (+ 0 1) into 1 12.584 * [backup-simplify]: Simplify (* 0 1) into 0 12.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.585 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 12.586 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 12.586 * [backup-simplify]: Simplify (/ 1 1) into 1 12.586 * [taylor]: Taking taylor expansion of 1 in y 12.586 * [backup-simplify]: Simplify 1 into 1 12.586 * [backup-simplify]: Simplify 0 into 0 12.586 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 12.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.588 * [backup-simplify]: Simplify (+ 0 0) into 0 12.589 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 12.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 12.589 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 12.589 * [taylor]: Taking taylor expansion of (/ 1 y) in y 12.589 * [taylor]: Taking taylor expansion of y in y 12.589 * [backup-simplify]: Simplify 0 into 0 12.589 * [backup-simplify]: Simplify 1 into 1 12.589 * [backup-simplify]: Simplify (/ 1 1) into 1 12.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.591 * [backup-simplify]: Simplify (- 0) into 0 12.591 * [backup-simplify]: Simplify 0 into 0 12.591 * [backup-simplify]: Simplify 0 into 0 12.592 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 12.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.593 * [backup-simplify]: Simplify (+ 0 0) into 0 12.594 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 12.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 12.595 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 12.595 * [taylor]: Taking taylor expansion of (pow y 2) in y 12.595 * [taylor]: Taking taylor expansion of y in y 12.595 * [backup-simplify]: Simplify 0 into 0 12.595 * [backup-simplify]: Simplify 1 into 1 12.595 * [backup-simplify]: Simplify (* 1 1) into 1 12.596 * [backup-simplify]: Simplify (/ 1 1) into 1 12.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.601 * [backup-simplify]: Simplify 0 into 0 12.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.602 * [backup-simplify]: Simplify (- 0) into 0 12.602 * [backup-simplify]: Simplify 0 into 0 12.602 * [backup-simplify]: Simplify 0 into 0 12.602 * [backup-simplify]: Simplify 0 into 0 12.603 * * * [progress]: simplifying candidates 12.612 * [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 12.616 * * [simplify]: Extracting # 0 : cost 0 12.617 * * [simplify]: Extracting # 1 : cost 0 12.617 * * [simplify]: Extracting # 2 : cost 0 12.617 * * [simplify]: Extracting # 3 : cost 0 12.617 * * [simplify]: Extracting # 4 : cost 0 12.618 * * [simplify]: Extracting # 5 : cost 0 12.618 * * [simplify]: Extracting # 6 : cost 0 12.618 * * [simplify]: Extracting # 7 : cost 0 12.618 * * [simplify]: iteration 0 : 183 enodes (cost 3207 ) 12.678 * * [simplify]: Extracting # 0 : cost 0 12.679 * * [simplify]: Extracting # 1 : cost 0 12.680 * * [simplify]: Extracting # 2 : cost 0 12.680 * * [simplify]: Extracting # 3 : cost 0 12.681 * * [simplify]: Extracting # 4 : cost 0 12.681 * * [simplify]: iteration 1 : 298 enodes (cost 2251 ) 12.778 * * [simplify]: Extracting # 0 : cost 0 12.779 * * [simplify]: Extracting # 1 : cost 0 12.780 * * [simplify]: Extracting # 2 : cost 0 12.780 * * [simplify]: Extracting # 3 : cost 0 12.781 * * [simplify]: Extracting # 4 : cost 0 12.782 * * [simplify]: iteration 2 : 911 enodes (cost 2129 ) 13.393 * * [simplify]: Extracting # 0 : cost 0 13.398 * * [simplify]: Extracting # 1 : cost 0 13.402 * * [simplify]: Extracting # 2 : cost 0 13.406 * * [simplify]: Extracting # 3 : cost 0 13.411 * * [simplify]: Extracting # 4 : cost 0 13.415 * * [simplify]: Extracting # 5 : cost 0 13.419 * * [simplify]: iteration 3 : 2299 enodes (cost 2090 ) 14.411 * * [simplify]: Extracting # 0 : cost 0 14.417 * * [simplify]: Extracting # 1 : cost 0 14.434 * * [simplify]: Extracting # 2 : cost 0 14.446 * * [simplify]: Extracting # 3 : cost 0 14.456 * * [simplify]: Extracting # 4 : cost 0 14.461 * * [simplify]: iteration done: 5000 enodes (cost 2062 ) 14.462 * [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 14.464 * * * [progress]: adding candidates to table 15.125 * [progress]: [Phase 3 of 3] Extracting. 15.125 * * [regime]: Finding splitpoints for: (# # # #) 15.125 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ x y)) y x) 15.125 * * * * [regimes]: Trying to branch on (/ x (+ x y)) from (# # # #) 15.141 * * * * [regimes]: Trying to branch on y from (# # # #) 15.155 * * * * [regimes]: Trying to branch on x from (# # # #) 15.169 * * * [regime]: Found split indices: #