26.848 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying: (/ x (+ y x)) 0.025 * * [simplify]: Extracting # 0 : cost 0 0.025 * * [simplify]: Extracting # 1 : cost 0 0.025 * * [simplify]: Extracting # 2 : cost 0 0.025 * * [simplify]: Extracting # 3 : cost 0 0.025 * * [simplify]: Extracting # 4 : cost 0 0.025 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.027 * * [simplify]: Extracting # 0 : cost 0 0.027 * * [simplify]: iteration 1 : 5 enodes (cost 5 ) 0.028 * * [simplify]: Extracting # 0 : cost 0 0.028 * * [simplify]: iteration done: 5 enodes (cost 5 ) 0.028 * [simplify]: Simplified to: (/ x (+ y x)) 0.028 * * [progress]: iteration 1 / 4 0.028 * * * [progress]: picking best candidate 0.030 * * * * [pick]: Picked # 0.030 * * * [progress]: localizing error 0.038 * * * [progress]: generating rewritten candidates 0.038 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.058 * * * [progress]: generating series expansions 0.058 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.058 * [backup-simplify]: Simplify (/ x (+ y x)) into (/ x (+ x y)) 0.058 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.058 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [backup-simplify]: Simplify x into x 0.058 * [taylor]: Taking taylor expansion of (+ x y) in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [backup-simplify]: Simplify x into x 0.058 * [taylor]: Taking taylor expansion of y in y 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [backup-simplify]: Simplify (+ x 0) into x 0.058 * [backup-simplify]: Simplify (/ x x) into 1 0.058 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [taylor]: Taking taylor expansion of (+ x y) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [backup-simplify]: Simplify y into y 0.058 * [backup-simplify]: Simplify (+ 0 y) into y 0.058 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.058 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [taylor]: Taking taylor expansion of (+ x y) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [backup-simplify]: Simplify y into y 0.058 * [backup-simplify]: Simplify (+ 0 y) into y 0.058 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 1 into 1 0.059 * [backup-simplify]: Simplify (/ 1 1) into 1 0.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify (+ 1 0) into 1 0.060 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.060 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify (* 1 1) into 1 0.061 * [backup-simplify]: Simplify (/ 1 1) into 1 0.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.063 * [backup-simplify]: Simplify (- 0) into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify (+ 0 0) into 0 0.064 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.064 * [taylor]: Taking taylor expansion of (pow y 3) 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 0.065 * [backup-simplify]: Simplify (/ 1 1) into 1 0.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.071 * [backup-simplify]: Simplify (- 0) into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.072 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.072 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.072 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.072 * [taylor]: Taking taylor expansion of x in y 0.072 * [backup-simplify]: Simplify x into x 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.072 * [backup-simplify]: Simplify (/ 1 1) into 1 0.072 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.072 * [taylor]: Taking taylor expansion of x in y 0.072 * [backup-simplify]: Simplify x into x 0.072 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.073 * [backup-simplify]: Simplify (+ 1 0) into 1 0.073 * [backup-simplify]: Simplify (* x 1) into x 0.073 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.073 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.073 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [backup-simplify]: Simplify y into y 0.073 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [backup-simplify]: Simplify (/ 1 1) into 1 0.074 * [backup-simplify]: Simplify (+ 0 1) into 1 0.074 * [backup-simplify]: Simplify (* 0 1) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.075 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.075 * [backup-simplify]: Simplify (/ 1 1) into 1 0.075 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.075 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [backup-simplify]: Simplify y into y 0.075 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.076 * [backup-simplify]: Simplify (/ 1 1) into 1 0.076 * [backup-simplify]: Simplify (+ 0 1) into 1 0.077 * [backup-simplify]: Simplify (* 0 1) into 0 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.078 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.078 * [backup-simplify]: Simplify (/ 1 1) into 1 0.078 * [taylor]: Taking taylor expansion of 1 in y 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.081 * [taylor]: Taking taylor expansion of (- (/ 1 y)) 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 0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (- 0) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.095 * [taylor]: Taking taylor expansion of (pow y 2) 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 0.095 * [backup-simplify]: Simplify (* 1 1) into 1 0.095 * [backup-simplify]: Simplify (/ 1 1) into 1 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (- 0) into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 0.099 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.099 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.099 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.099 * [taylor]: Taking taylor expansion of x in y 0.099 * [backup-simplify]: Simplify x into x 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.099 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.099 * [taylor]: Taking taylor expansion of y in y 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (/ 1 1) into 1 0.100 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.100 * [taylor]: Taking taylor expansion of x in y 0.100 * [backup-simplify]: Simplify x into x 0.100 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.100 * [backup-simplify]: Simplify (+ 1 0) into 1 0.100 * [backup-simplify]: Simplify (* x 1) into x 0.100 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.100 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.100 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.100 * [taylor]: Taking taylor expansion of y in x 0.100 * [backup-simplify]: Simplify y into y 0.100 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (/ 1 1) into 1 0.101 * [backup-simplify]: Simplify (+ 0 1) into 1 0.101 * [backup-simplify]: Simplify (* 0 1) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.102 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.102 * [backup-simplify]: Simplify (/ 1 1) into 1 0.102 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.102 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.102 * [backup-simplify]: Simplify y into y 0.102 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (/ 1 1) into 1 0.103 * [backup-simplify]: Simplify (+ 0 1) into 1 0.103 * [backup-simplify]: Simplify (* 0 1) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.104 * [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 in y 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.106 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.106 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify (/ 1 1) into 1 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (- 0) into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.110 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.110 * [taylor]: Taking taylor expansion of y in y 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (* 1 1) into 1 0.110 * [backup-simplify]: Simplify (/ 1 1) into 1 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (- 0) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * * * [progress]: simplifying candidates 0.115 * [simplify]: Simplifying: (- (log x) (log (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (/ (* (* x x) x) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x))) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (/ 1 1) (/ x (+ y x)) (/ 1 1) (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) (/ x 1) (/ x 1) (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0.115 * * [simplify]: Extracting # 0 : cost 0 0.116 * * [simplify]: Extracting # 1 : cost 0 0.116 * * [simplify]: Extracting # 2 : cost 0 0.116 * * [simplify]: Extracting # 3 : cost 0 0.116 * * [simplify]: Extracting # 4 : cost 0 0.116 * * [simplify]: Extracting # 5 : cost 0 0.116 * * [simplify]: Extracting # 6 : cost 0 0.116 * * [simplify]: Extracting # 7 : cost 0 0.116 * * [simplify]: iteration 0 : 59 enodes (cost 324 ) 0.129 * * [simplify]: Extracting # 0 : cost 0 0.130 * * [simplify]: Extracting # 1 : cost 0 0.130 * * [simplify]: Extracting # 2 : cost 0 0.130 * * [simplify]: Extracting # 3 : cost 0 0.130 * * [simplify]: Extracting # 4 : cost 0 0.131 * * [simplify]: iteration 1 : 119 enodes (cost 305 ) 0.165 * * [simplify]: Extracting # 0 : cost 0 0.165 * * [simplify]: Extracting # 1 : cost 0 0.165 * * [simplify]: Extracting # 2 : cost 0 0.166 * * [simplify]: Extracting # 3 : cost 0 0.166 * * [simplify]: Extracting # 4 : cost 0 0.166 * * [simplify]: iteration 2 : 270 enodes (cost 287 ) 0.251 * * [simplify]: Extracting # 0 : cost 0 0.252 * * [simplify]: Extracting # 1 : cost 0 0.252 * * [simplify]: Extracting # 2 : cost 0 0.253 * * [simplify]: Extracting # 3 : cost 0 0.253 * * [simplify]: Extracting # 4 : cost 0 0.254 * * [simplify]: iteration 3 : 550 enodes (cost 287 ) 0.539 * * [simplify]: Extracting # 0 : cost 0 0.541 * * [simplify]: Extracting # 1 : cost 0 0.544 * * [simplify]: Extracting # 2 : cost 0 0.546 * * [simplify]: Extracting # 3 : cost 0 0.548 * * [simplify]: iteration 4 : 1428 enodes (cost 287 ) 2.763 * * [simplify]: Extracting # 0 : cost 0 2.769 * * [simplify]: Extracting # 1 : cost 0 2.772 * * [simplify]: Extracting # 2 : cost 0 2.776 * * [simplify]: Extracting # 3 : cost 0 2.783 * * [simplify]: Extracting # 4 : cost 0 2.788 * * [simplify]: iteration 5 : 4631 enodes (cost 287 ) 4.261 * * [simplify]: Extracting # 0 : cost 0 4.270 * * [simplify]: Extracting # 1 : cost 0 4.278 * * [simplify]: Extracting # 2 : cost 0 4.286 * * [simplify]: Extracting # 3 : cost 0 4.294 * * [simplify]: iteration done: 5000 enodes (cost 287 ) 4.295 * [simplify]: Simplified to: (log (/ x (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (pow (/ x (+ y x)) 3) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (pow (/ x (+ y x)) 3) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (sqrt x) (/ (sqrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 4.295 * * * [progress]: adding candidates to table 4.377 * * [progress]: iteration 2 / 4 4.377 * * * [progress]: picking best candidate 4.384 * * * * [pick]: Picked # 4.384 * * * [progress]: localizing error 4.394 * * * [progress]: generating rewritten candidates 4.394 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.451 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 4.479 * * * [progress]: generating series expansions 4.479 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.480 * [backup-simplify]: Simplify (* x (/ 1 (+ y x))) into (/ x (+ x y)) 4.480 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 4.480 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 4.480 * [taylor]: Taking taylor expansion of x in y 4.480 * [backup-simplify]: Simplify x into x 4.480 * [taylor]: Taking taylor expansion of (+ x y) in y 4.480 * [taylor]: Taking taylor expansion of x in y 4.480 * [backup-simplify]: Simplify x into x 4.480 * [taylor]: Taking taylor expansion of y in y 4.480 * [backup-simplify]: Simplify 0 into 0 4.480 * [backup-simplify]: Simplify 1 into 1 4.480 * [backup-simplify]: Simplify (+ x 0) into x 4.480 * [backup-simplify]: Simplify (/ x x) into 1 4.480 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 4.480 * [taylor]: Taking taylor expansion of x in x 4.480 * [backup-simplify]: Simplify 0 into 0 4.480 * [backup-simplify]: Simplify 1 into 1 4.480 * [taylor]: Taking taylor expansion of (+ x y) in x 4.480 * [taylor]: Taking taylor expansion of x in x 4.480 * [backup-simplify]: Simplify 0 into 0 4.480 * [backup-simplify]: Simplify 1 into 1 4.480 * [taylor]: Taking taylor expansion of y in x 4.481 * [backup-simplify]: Simplify y into y 4.481 * [backup-simplify]: Simplify (+ 0 y) into y 4.481 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.481 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 4.481 * [taylor]: Taking taylor expansion of x in x 4.481 * [backup-simplify]: Simplify 0 into 0 4.481 * [backup-simplify]: Simplify 1 into 1 4.481 * [taylor]: Taking taylor expansion of (+ x y) in x 4.481 * [taylor]: Taking taylor expansion of x in x 4.481 * [backup-simplify]: Simplify 0 into 0 4.481 * [backup-simplify]: Simplify 1 into 1 4.481 * [taylor]: Taking taylor expansion of y in x 4.481 * [backup-simplify]: Simplify y into y 4.481 * [backup-simplify]: Simplify (+ 0 y) into y 4.481 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.481 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.481 * [taylor]: Taking taylor expansion of y in y 4.481 * [backup-simplify]: Simplify 0 into 0 4.481 * [backup-simplify]: Simplify 1 into 1 4.482 * [backup-simplify]: Simplify (/ 1 1) into 1 4.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.483 * [backup-simplify]: Simplify 0 into 0 4.483 * [backup-simplify]: Simplify (+ 1 0) into 1 4.483 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 4.483 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 4.483 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.484 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.484 * [taylor]: Taking taylor expansion of y in y 4.484 * [backup-simplify]: Simplify 0 into 0 4.484 * [backup-simplify]: Simplify 1 into 1 4.484 * [backup-simplify]: Simplify (* 1 1) into 1 4.484 * [backup-simplify]: Simplify (/ 1 1) into 1 4.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.488 * [backup-simplify]: Simplify (- 0) into 0 4.488 * [backup-simplify]: Simplify 0 into 0 4.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.489 * [backup-simplify]: Simplify 0 into 0 4.489 * [backup-simplify]: Simplify (+ 0 0) into 0 4.490 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 4.490 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 4.490 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.490 * [taylor]: Taking taylor expansion of y in y 4.490 * [backup-simplify]: Simplify 0 into 0 4.490 * [backup-simplify]: Simplify 1 into 1 4.490 * [backup-simplify]: Simplify (* 1 1) into 1 4.491 * [backup-simplify]: Simplify (* 1 1) into 1 4.491 * [backup-simplify]: Simplify (/ 1 1) into 1 4.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.499 * [backup-simplify]: Simplify 0 into 0 4.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.501 * [backup-simplify]: Simplify (- 0) into 0 4.501 * [backup-simplify]: Simplify 0 into 0 4.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.502 * [backup-simplify]: Simplify 0 into 0 4.502 * [backup-simplify]: Simplify 0 into 0 4.502 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 (+ (/ 1 y) (/ 1 x)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 4.502 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 4.502 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 4.502 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 4.502 * [taylor]: Taking taylor expansion of x in y 4.502 * [backup-simplify]: Simplify x into x 4.502 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.503 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.503 * [taylor]: Taking taylor expansion of y in y 4.503 * [backup-simplify]: Simplify 0 into 0 4.503 * [backup-simplify]: Simplify 1 into 1 4.503 * [backup-simplify]: Simplify (/ 1 1) into 1 4.503 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.503 * [taylor]: Taking taylor expansion of x in y 4.503 * [backup-simplify]: Simplify x into x 4.503 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.504 * [backup-simplify]: Simplify (+ 1 0) into 1 4.504 * [backup-simplify]: Simplify (* x 1) into x 4.504 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.504 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.504 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.504 * [taylor]: Taking taylor expansion of x in x 4.504 * [backup-simplify]: Simplify 0 into 0 4.504 * [backup-simplify]: Simplify 1 into 1 4.504 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.504 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.504 * [taylor]: Taking taylor expansion of y in x 4.504 * [backup-simplify]: Simplify y into y 4.504 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.504 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.504 * [taylor]: Taking taylor expansion of x in x 4.504 * [backup-simplify]: Simplify 0 into 0 4.504 * [backup-simplify]: Simplify 1 into 1 4.504 * [backup-simplify]: Simplify (/ 1 1) into 1 4.505 * [backup-simplify]: Simplify (+ 0 1) into 1 4.505 * [backup-simplify]: Simplify (* 0 1) into 0 4.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.506 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.506 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 4.507 * [backup-simplify]: Simplify (/ 1 1) into 1 4.507 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.507 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.507 * [taylor]: Taking taylor expansion of x in x 4.507 * [backup-simplify]: Simplify 0 into 0 4.507 * [backup-simplify]: Simplify 1 into 1 4.507 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.507 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.507 * [taylor]: Taking taylor expansion of y in x 4.507 * [backup-simplify]: Simplify y into y 4.507 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.507 * [taylor]: Taking taylor expansion of x in x 4.507 * [backup-simplify]: Simplify 0 into 0 4.507 * [backup-simplify]: Simplify 1 into 1 4.508 * [backup-simplify]: Simplify (/ 1 1) into 1 4.508 * [backup-simplify]: Simplify (+ 0 1) into 1 4.514 * [backup-simplify]: Simplify (* 0 1) into 0 4.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.515 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.516 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 4.516 * [backup-simplify]: Simplify (/ 1 1) into 1 4.516 * [taylor]: Taking taylor expansion of 1 in y 4.516 * [backup-simplify]: Simplify 1 into 1 4.516 * [backup-simplify]: Simplify 0 into 0 4.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.518 * [backup-simplify]: Simplify (+ 0 0) into 0 4.519 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 4.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 4.519 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 4.519 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.519 * [taylor]: Taking taylor expansion of y in y 4.519 * [backup-simplify]: Simplify 0 into 0 4.519 * [backup-simplify]: Simplify 1 into 1 4.519 * [backup-simplify]: Simplify (/ 1 1) into 1 4.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.521 * [backup-simplify]: Simplify (- 0) into 0 4.521 * [backup-simplify]: Simplify 0 into 0 4.521 * [backup-simplify]: Simplify 0 into 0 4.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.523 * [backup-simplify]: Simplify (+ 0 0) into 0 4.524 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 4.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 4.525 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.525 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.525 * [taylor]: Taking taylor expansion of y in y 4.525 * [backup-simplify]: Simplify 0 into 0 4.525 * [backup-simplify]: Simplify 1 into 1 4.525 * [backup-simplify]: Simplify (* 1 1) into 1 4.526 * [backup-simplify]: Simplify (/ 1 1) into 1 4.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.531 * [backup-simplify]: Simplify 0 into 0 4.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.532 * [backup-simplify]: Simplify (- 0) into 0 4.533 * [backup-simplify]: Simplify 0 into 0 4.533 * [backup-simplify]: Simplify 0 into 0 4.533 * [backup-simplify]: Simplify 0 into 0 4.533 * [backup-simplify]: Simplify (* (/ 1 (- x)) (/ 1 (+ (/ 1 (- y)) (/ 1 (- x))))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 4.533 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 4.533 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 4.533 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 4.533 * [taylor]: Taking taylor expansion of x in y 4.533 * [backup-simplify]: Simplify x into x 4.533 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.533 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.533 * [taylor]: Taking taylor expansion of y in y 4.533 * [backup-simplify]: Simplify 0 into 0 4.533 * [backup-simplify]: Simplify 1 into 1 4.534 * [backup-simplify]: Simplify (/ 1 1) into 1 4.534 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.534 * [taylor]: Taking taylor expansion of x in y 4.534 * [backup-simplify]: Simplify x into x 4.534 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.534 * [backup-simplify]: Simplify (+ 1 0) into 1 4.534 * [backup-simplify]: Simplify (* x 1) into x 4.534 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.534 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.534 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.534 * [taylor]: Taking taylor expansion of x in x 4.534 * [backup-simplify]: Simplify 0 into 0 4.534 * [backup-simplify]: Simplify 1 into 1 4.534 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.535 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.535 * [taylor]: Taking taylor expansion of y in x 4.535 * [backup-simplify]: Simplify y into y 4.535 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.535 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.535 * [taylor]: Taking taylor expansion of x in x 4.535 * [backup-simplify]: Simplify 0 into 0 4.535 * [backup-simplify]: Simplify 1 into 1 4.535 * [backup-simplify]: Simplify (/ 1 1) into 1 4.536 * [backup-simplify]: Simplify (+ 0 1) into 1 4.536 * [backup-simplify]: Simplify (* 0 1) into 0 4.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.537 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.537 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 4.538 * [backup-simplify]: Simplify (/ 1 1) into 1 4.538 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 4.538 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 4.538 * [taylor]: Taking taylor expansion of x in x 4.538 * [backup-simplify]: Simplify 0 into 0 4.538 * [backup-simplify]: Simplify 1 into 1 4.538 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.538 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.538 * [taylor]: Taking taylor expansion of y in x 4.538 * [backup-simplify]: Simplify y into y 4.538 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.538 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.538 * [taylor]: Taking taylor expansion of x in x 4.538 * [backup-simplify]: Simplify 0 into 0 4.538 * [backup-simplify]: Simplify 1 into 1 4.538 * [backup-simplify]: Simplify (/ 1 1) into 1 4.539 * [backup-simplify]: Simplify (+ 0 1) into 1 4.539 * [backup-simplify]: Simplify (* 0 1) into 0 4.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.540 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.540 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 4.541 * [backup-simplify]: Simplify (/ 1 1) into 1 4.541 * [taylor]: Taking taylor expansion of 1 in y 4.541 * [backup-simplify]: Simplify 1 into 1 4.541 * [backup-simplify]: Simplify 0 into 0 4.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.542 * [backup-simplify]: Simplify (+ 0 0) into 0 4.543 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 4.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 4.543 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 4.543 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.543 * [taylor]: Taking taylor expansion of y in y 4.543 * [backup-simplify]: Simplify 0 into 0 4.543 * [backup-simplify]: Simplify 1 into 1 4.544 * [backup-simplify]: Simplify (/ 1 1) into 1 4.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.546 * [backup-simplify]: Simplify (- 0) into 0 4.546 * [backup-simplify]: Simplify 0 into 0 4.546 * [backup-simplify]: Simplify 0 into 0 4.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.548 * [backup-simplify]: Simplify (+ 0 0) into 0 4.549 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 4.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 4.550 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.550 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.550 * [taylor]: Taking taylor expansion of y in y 4.550 * [backup-simplify]: Simplify 0 into 0 4.550 * [backup-simplify]: Simplify 1 into 1 4.550 * [backup-simplify]: Simplify (* 1 1) into 1 4.550 * [backup-simplify]: Simplify (/ 1 1) into 1 4.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.556 * [backup-simplify]: Simplify 0 into 0 4.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.557 * [backup-simplify]: Simplify (- 0) into 0 4.557 * [backup-simplify]: Simplify 0 into 0 4.557 * [backup-simplify]: Simplify 0 into 0 4.557 * [backup-simplify]: Simplify 0 into 0 4.557 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 4.557 * [backup-simplify]: Simplify (/ 1 (+ y x)) into (/ 1 (+ x y)) 4.558 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (y x) around 0 4.558 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 4.558 * [taylor]: Taking taylor expansion of (+ x y) in x 4.558 * [taylor]: Taking taylor expansion of x in x 4.558 * [backup-simplify]: Simplify 0 into 0 4.558 * [backup-simplify]: Simplify 1 into 1 4.558 * [taylor]: Taking taylor expansion of y in x 4.558 * [backup-simplify]: Simplify y into y 4.558 * [backup-simplify]: Simplify (+ 0 y) into y 4.558 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.558 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 4.558 * [taylor]: Taking taylor expansion of (+ x y) in y 4.558 * [taylor]: Taking taylor expansion of x in y 4.558 * [backup-simplify]: Simplify x into x 4.558 * [taylor]: Taking taylor expansion of y in y 4.558 * [backup-simplify]: Simplify 0 into 0 4.558 * [backup-simplify]: Simplify 1 into 1 4.558 * [backup-simplify]: Simplify (+ x 0) into x 4.558 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.558 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 4.558 * [taylor]: Taking taylor expansion of (+ x y) in y 4.558 * [taylor]: Taking taylor expansion of x in y 4.558 * [backup-simplify]: Simplify x into x 4.558 * [taylor]: Taking taylor expansion of y in y 4.558 * [backup-simplify]: Simplify 0 into 0 4.558 * [backup-simplify]: Simplify 1 into 1 4.558 * [backup-simplify]: Simplify (+ x 0) into x 4.558 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.558 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.559 * [taylor]: Taking taylor expansion of x in x 4.559 * [backup-simplify]: Simplify 0 into 0 4.559 * [backup-simplify]: Simplify 1 into 1 4.559 * [backup-simplify]: Simplify (/ 1 1) into 1 4.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.560 * [backup-simplify]: Simplify 0 into 0 4.560 * [backup-simplify]: Simplify (+ 0 1) into 1 4.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 1 x)))) into (- (/ 1 (pow x 2))) 4.560 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 4.561 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.561 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.561 * [taylor]: Taking taylor expansion of x in x 4.561 * [backup-simplify]: Simplify 0 into 0 4.561 * [backup-simplify]: Simplify 1 into 1 4.561 * [backup-simplify]: Simplify (* 1 1) into 1 4.561 * [backup-simplify]: Simplify (/ 1 1) into 1 4.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.565 * [backup-simplify]: Simplify (- 0) into 0 4.565 * [backup-simplify]: Simplify 0 into 0 4.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.566 * [backup-simplify]: Simplify 0 into 0 4.567 * [backup-simplify]: Simplify (+ 0 0) into 0 4.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* (- (/ 1 (pow x 2))) (/ 1 x)))) into (/ 1 (pow x 3)) 4.567 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 4.567 * [taylor]: Taking taylor expansion of (pow x 3) in x 4.567 * [taylor]: Taking taylor expansion of x in x 4.567 * [backup-simplify]: Simplify 0 into 0 4.567 * [backup-simplify]: Simplify 1 into 1 4.568 * [backup-simplify]: Simplify (* 1 1) into 1 4.568 * [backup-simplify]: Simplify (* 1 1) into 1 4.568 * [backup-simplify]: Simplify (/ 1 1) into 1 4.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.574 * [backup-simplify]: Simplify 0 into 0 4.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.575 * [backup-simplify]: Simplify (- 0) into 0 4.575 * [backup-simplify]: Simplify 0 into 0 4.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.576 * [backup-simplify]: Simplify 0 into 0 4.576 * [backup-simplify]: Simplify 0 into 0 4.576 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 y) (/ 1 x))) into (/ 1 (+ (/ 1 y) (/ 1 x))) 4.576 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 4.576 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 4.576 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.576 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.576 * [taylor]: Taking taylor expansion of y in x 4.576 * [backup-simplify]: Simplify y into y 4.576 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.576 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.576 * [taylor]: Taking taylor expansion of x in x 4.576 * [backup-simplify]: Simplify 0 into 0 4.576 * [backup-simplify]: Simplify 1 into 1 4.576 * [backup-simplify]: Simplify (/ 1 1) into 1 4.577 * [backup-simplify]: Simplify (+ 0 1) into 1 4.577 * [backup-simplify]: Simplify (/ 1 1) into 1 4.577 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 4.577 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.577 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.577 * [taylor]: Taking taylor expansion of y in y 4.577 * [backup-simplify]: Simplify 0 into 0 4.577 * [backup-simplify]: Simplify 1 into 1 4.577 * [backup-simplify]: Simplify (/ 1 1) into 1 4.577 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.577 * [taylor]: Taking taylor expansion of x in y 4.577 * [backup-simplify]: Simplify x into x 4.577 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.578 * [backup-simplify]: Simplify (+ 1 0) into 1 4.578 * [backup-simplify]: Simplify (/ 1 1) into 1 4.578 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 4.578 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.578 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.578 * [taylor]: Taking taylor expansion of y in y 4.578 * [backup-simplify]: Simplify 0 into 0 4.578 * [backup-simplify]: Simplify 1 into 1 4.578 * [backup-simplify]: Simplify (/ 1 1) into 1 4.578 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.578 * [taylor]: Taking taylor expansion of x in y 4.578 * [backup-simplify]: Simplify x into x 4.578 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.579 * [backup-simplify]: Simplify (+ 1 0) into 1 4.579 * [backup-simplify]: Simplify (/ 1 1) into 1 4.579 * [taylor]: Taking taylor expansion of 1 in x 4.579 * [backup-simplify]: Simplify 1 into 1 4.579 * [backup-simplify]: Simplify 0 into 0 4.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.579 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 4.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 x) 1)))) into (- (/ 1 x)) 4.580 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 4.580 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.580 * [taylor]: Taking taylor expansion of x in x 4.580 * [backup-simplify]: Simplify 0 into 0 4.580 * [backup-simplify]: Simplify 1 into 1 4.580 * [backup-simplify]: Simplify (/ 1 1) into 1 4.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.581 * [backup-simplify]: Simplify (- 0) into 0 4.581 * [backup-simplify]: Simplify 0 into 0 4.581 * [backup-simplify]: Simplify 0 into 0 4.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.582 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 4.582 * [backup-simplify]: Simplify (+ 0 0) into 0 4.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 x)) (/ (/ 1 x) 1)))) into (/ 1 (pow x 2)) 4.583 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.583 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.583 * [taylor]: Taking taylor expansion of x in x 4.583 * [backup-simplify]: Simplify 0 into 0 4.583 * [backup-simplify]: Simplify 1 into 1 4.583 * [backup-simplify]: Simplify (* 1 1) into 1 4.583 * [backup-simplify]: Simplify (/ 1 1) into 1 4.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.586 * [backup-simplify]: Simplify 0 into 0 4.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.587 * [backup-simplify]: Simplify (- 0) into 0 4.587 * [backup-simplify]: Simplify 0 into 0 4.587 * [backup-simplify]: Simplify 0 into 0 4.587 * [backup-simplify]: Simplify 0 into 0 4.587 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (- y)) (/ 1 (- x)))) into (/ -1 (+ (/ 1 y) (/ 1 x))) 4.587 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 4.587 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 4.587 * [taylor]: Taking taylor expansion of -1 in x 4.587 * [backup-simplify]: Simplify -1 into -1 4.587 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.587 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.587 * [taylor]: Taking taylor expansion of y in x 4.587 * [backup-simplify]: Simplify y into y 4.588 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.588 * [taylor]: Taking taylor expansion of x in x 4.588 * [backup-simplify]: Simplify 0 into 0 4.588 * [backup-simplify]: Simplify 1 into 1 4.588 * [backup-simplify]: Simplify (/ 1 1) into 1 4.588 * [backup-simplify]: Simplify (+ 0 1) into 1 4.588 * [backup-simplify]: Simplify (/ -1 1) into -1 4.588 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 4.588 * [taylor]: Taking taylor expansion of -1 in y 4.588 * [backup-simplify]: Simplify -1 into -1 4.589 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.589 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.589 * [taylor]: Taking taylor expansion of y in y 4.589 * [backup-simplify]: Simplify 0 into 0 4.589 * [backup-simplify]: Simplify 1 into 1 4.589 * [backup-simplify]: Simplify (/ 1 1) into 1 4.589 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.589 * [taylor]: Taking taylor expansion of x in y 4.589 * [backup-simplify]: Simplify x into x 4.589 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.589 * [backup-simplify]: Simplify (+ 1 0) into 1 4.589 * [backup-simplify]: Simplify (/ -1 1) into -1 4.589 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 4.589 * [taylor]: Taking taylor expansion of -1 in y 4.589 * [backup-simplify]: Simplify -1 into -1 4.590 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.590 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.590 * [taylor]: Taking taylor expansion of y in y 4.590 * [backup-simplify]: Simplify 0 into 0 4.590 * [backup-simplify]: Simplify 1 into 1 4.590 * [backup-simplify]: Simplify (/ 1 1) into 1 4.590 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.590 * [taylor]: Taking taylor expansion of x in y 4.590 * [backup-simplify]: Simplify x into x 4.590 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.590 * [backup-simplify]: Simplify (+ 1 0) into 1 4.591 * [backup-simplify]: Simplify (/ -1 1) into -1 4.591 * [taylor]: Taking taylor expansion of -1 in x 4.591 * [backup-simplify]: Simplify -1 into -1 4.591 * [backup-simplify]: Simplify 0 into 0 4.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.591 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 4.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (/ 1 x) 1)))) into (/ 1 x) 4.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.592 * [taylor]: Taking taylor expansion of x in x 4.592 * [backup-simplify]: Simplify 0 into 0 4.592 * [backup-simplify]: Simplify 1 into 1 4.592 * [backup-simplify]: Simplify (/ 1 1) into 1 4.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.593 * [backup-simplify]: Simplify 0 into 0 4.593 * [backup-simplify]: Simplify 0 into 0 4.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.594 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 4.594 * [backup-simplify]: Simplify (+ 0 0) into 0 4.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (/ 1 x) (/ (/ 1 x) 1)))) into (- (/ 1 (pow x 2))) 4.595 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 4.595 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.595 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.595 * [taylor]: Taking taylor expansion of x in x 4.595 * [backup-simplify]: Simplify 0 into 0 4.595 * [backup-simplify]: Simplify 1 into 1 4.595 * [backup-simplify]: Simplify (* 1 1) into 1 4.595 * [backup-simplify]: Simplify (/ 1 1) into 1 4.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.598 * [backup-simplify]: Simplify (- 0) into 0 4.598 * [backup-simplify]: Simplify 0 into 0 4.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.599 * [backup-simplify]: Simplify 0 into 0 4.599 * [backup-simplify]: Simplify 0 into 0 4.599 * [backup-simplify]: Simplify 0 into 0 4.599 * * * [progress]: simplifying candidates 4.600 * [simplify]: Simplifying: (* x (/ 1 (+ y x))) (+ (log x) (- (log (+ y x)))) (+ (log x) (- 0 (log (+ y x)))) (+ (log x) (- (log 1) (log (+ y x)))) (+ (log x) (log (/ 1 (+ y x)))) (log (* x (/ 1 (+ y x)))) (exp (* x (/ 1 (+ y x)))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (+ y x) (+ y x)) (+ y x)))) (* (* (* x x) x) (* (* (/ 1 (+ y x)) (/ 1 (+ y x))) (/ 1 (+ y x)))) (* (cbrt (* x (/ 1 (+ y x)))) (cbrt (* x (/ 1 (+ y x))))) (cbrt (* x (/ 1 (+ y x)))) (* (* (* x (/ 1 (+ y x))) (* x (/ 1 (+ y x)))) (* x (/ 1 (+ y x)))) (sqrt (* x (/ 1 (+ y x)))) (sqrt (* x (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ y x)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ y x)))) (* (sqrt x) (/ 1 (sqrt (+ y x)))) (* (sqrt x) (/ 1 (sqrt (+ y x)))) (* x (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x))))) (* x (sqrt (/ 1 (+ y x)))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y x)))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (sqrt 1) (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ (sqrt 1) (sqrt (+ y x)))) (* x (/ (sqrt 1) 1)) (* x (/ (sqrt 1) 1)) (* x (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ 1 (sqrt (+ y x)))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x 1) (* x (/ 1 (+ (pow y 3) (pow x 3)))) (* x (/ 1 (- (* y y) (* x x)))) (* (cbrt x) (/ 1 (+ y x))) (* (sqrt x) (/ 1 (+ y x))) (* x (/ 1 (+ y x))) (* x 1) (- 1) (- (log (+ y x))) (- 0 (log (+ y x))) (- (log 1) (log (+ y x))) (log (/ 1 (+ y x))) (exp (/ 1 (+ y x))) (/ (* (* 1 1) 1) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x)))) (cbrt (/ 1 (+ y x))) (* (* (/ 1 (+ y x)) (/ 1 (+ y x))) (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) (- 1) (- (+ y x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt 1) (cbrt (+ y x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y x))) (/ (cbrt 1) (sqrt (+ y x))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y x)) (/ (sqrt 1) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt 1) (cbrt (+ y x))) (/ (sqrt 1) (sqrt (+ y x))) (/ (sqrt 1) (sqrt (+ y x))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y x)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 1) (/ 1 (+ y x)) (/ 1 1) (/ 1 (+ y x)) (/ 1 (+ y x)) (/ (+ y x) 1) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (sqrt (+ y x))) (/ 1 1) (/ 1 1) (/ (+ y x) (cbrt 1)) (/ (+ y x) (sqrt 1)) (/ (+ y x) 1) (/ 1 (+ (pow y 3) (pow x 3))) (/ 1 (- (* y y) (* x x))) 0 0 0 0 0 0 4.601 * * [simplify]: Extracting # 0 : cost 0 4.601 * * [simplify]: Extracting # 1 : cost 0 4.601 * * [simplify]: Extracting # 2 : cost 0 4.602 * * [simplify]: Extracting # 3 : cost 0 4.602 * * [simplify]: Extracting # 4 : cost 0 4.602 * * [simplify]: Extracting # 5 : cost 0 4.602 * * [simplify]: Extracting # 6 : cost 0 4.602 * * [simplify]: iteration 0 : 95 enodes (cost 755 ) 4.653 * * [simplify]: Extracting # 0 : cost 0 4.654 * * [simplify]: Extracting # 1 : cost 0 4.654 * * [simplify]: Extracting # 2 : cost 0 4.654 * * [simplify]: Extracting # 3 : cost 0 4.654 * * [simplify]: Extracting # 4 : cost 0 4.654 * * [simplify]: iteration 1 : 220 enodes (cost 579 ) 4.711 * * [simplify]: Extracting # 0 : cost 0 4.712 * * [simplify]: Extracting # 1 : cost 0 4.712 * * [simplify]: Extracting # 2 : cost 0 4.712 * * [simplify]: Extracting # 3 : cost 0 4.713 * * [simplify]: Extracting # 4 : cost 0 4.713 * * [simplify]: Extracting # 5 : cost 0 4.713 * * [simplify]: iteration 2 : 449 enodes (cost 517 ) 4.936 * * [simplify]: Extracting # 0 : cost 0 4.938 * * [simplify]: Extracting # 1 : cost 0 4.939 * * [simplify]: Extracting # 2 : cost 0 4.940 * * [simplify]: Extracting # 3 : cost 0 4.941 * * [simplify]: Extracting # 4 : cost 0 4.943 * * [simplify]: iteration 3 : 902 enodes (cost 517 ) 5.764 * * [simplify]: Extracting # 0 : cost 0 5.767 * * [simplify]: Extracting # 1 : cost 0 5.770 * * [simplify]: Extracting # 2 : cost 0 5.773 * * [simplify]: Extracting # 3 : cost 0 5.776 * * [simplify]: Extracting # 4 : cost 0 5.779 * * [simplify]: Extracting # 5 : cost 0 5.789 * * [simplify]: iteration 4 : 1931 enodes (cost 517 ) 8.653 * * [simplify]: Extracting # 0 : cost 0 8.660 * * [simplify]: Extracting # 1 : cost 0 8.665 * * [simplify]: Extracting # 2 : cost 0 8.671 * * [simplify]: Extracting # 3 : cost 0 8.680 * * [simplify]: Extracting # 4 : cost 0 8.693 * * [simplify]: iteration done: 5000 enodes (cost 517 ) 8.694 * [simplify]: Simplified to: (/ x (+ x y)) (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (pow (/ x (+ y x)) 3) (pow (/ x (+ y x)) 3) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (pow (/ x (+ y x)) 3) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (* x (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x))))) (* x (sqrt (/ 1 (+ y x)))) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x x x (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) (/ (cbrt x) (+ x y)) (/ (sqrt x) (+ x y)) (/ x (+ x y)) x -1 (- (log (+ y x))) (- (log (+ y x))) (- (log (+ y x))) (- (log (+ y x))) (exp (/ 1 (+ y x))) (pow (/ 1 (+ y x)) 3) (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x)))) (cbrt (/ 1 (+ y x))) (pow (/ 1 (+ y x)) 3) (sqrt (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) -1 (- (+ y x)) (/ (/ 1 (cbrt (+ y x))) (cbrt (+ y x))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ x y)) 1 (/ 1 (+ x y)) (/ (/ 1 (cbrt (+ y x))) (cbrt (+ y x))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ x y)) 1 (/ 1 (+ x y)) (/ (/ 1 (cbrt (+ y x))) (cbrt (+ y x))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ x y)) 1 (/ 1 (+ x y)) (/ 1 (+ x y)) (+ y x) (/ (/ 1 (cbrt (+ y x))) (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 1 (+ y x) (+ y x) (+ y x) (/ 1 (+ (pow y 3) (pow x 3))) (/ 1 (- (* y y) (* x x))) 0 0 0 0 0 0 8.695 * * * [progress]: adding candidates to table 8.833 * * [progress]: iteration 3 / 4 8.833 * * * [progress]: picking best candidate 8.842 * * * * [pick]: Picked # 8.842 * * * [progress]: localizing error 8.852 * * * [progress]: generating rewritten candidates 8.852 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 8.870 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 8.909 * * * [progress]: generating series expansions 8.909 * * * * [progress]: [ 1 / 2 ] generating series at (2) 8.910 * [backup-simplify]: Simplify (/ 1 (/ (+ y x) x)) into (/ x (+ x y)) 8.910 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (y x) around 0 8.910 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 8.910 * [taylor]: Taking taylor expansion of x in x 8.910 * [backup-simplify]: Simplify 0 into 0 8.910 * [backup-simplify]: Simplify 1 into 1 8.910 * [taylor]: Taking taylor expansion of (+ x y) in x 8.910 * [taylor]: Taking taylor expansion of x in x 8.910 * [backup-simplify]: Simplify 0 into 0 8.910 * [backup-simplify]: Simplify 1 into 1 8.910 * [taylor]: Taking taylor expansion of y in x 8.910 * [backup-simplify]: Simplify y into y 8.910 * [backup-simplify]: Simplify (+ 0 y) into y 8.910 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.910 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 8.910 * [taylor]: Taking taylor expansion of x in y 8.910 * [backup-simplify]: Simplify x into x 8.910 * [taylor]: Taking taylor expansion of (+ x y) in y 8.910 * [taylor]: Taking taylor expansion of x in y 8.910 * [backup-simplify]: Simplify x into x 8.910 * [taylor]: Taking taylor expansion of y in y 8.910 * [backup-simplify]: Simplify 0 into 0 8.910 * [backup-simplify]: Simplify 1 into 1 8.910 * [backup-simplify]: Simplify (+ x 0) into x 8.910 * [backup-simplify]: Simplify (/ x x) into 1 8.910 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 8.910 * [taylor]: Taking taylor expansion of x in y 8.910 * [backup-simplify]: Simplify x into x 8.910 * [taylor]: Taking taylor expansion of (+ x y) in y 8.910 * [taylor]: Taking taylor expansion of x in y 8.910 * [backup-simplify]: Simplify x into x 8.910 * [taylor]: Taking taylor expansion of y in y 8.910 * [backup-simplify]: Simplify 0 into 0 8.910 * [backup-simplify]: Simplify 1 into 1 8.910 * [backup-simplify]: Simplify (+ x 0) into x 8.911 * [backup-simplify]: Simplify (/ x x) into 1 8.911 * [taylor]: Taking taylor expansion of 1 in x 8.911 * [backup-simplify]: Simplify 1 into 1 8.911 * [backup-simplify]: Simplify 0 into 0 8.911 * [backup-simplify]: Simplify (+ 0 1) into 1 8.912 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 1 x)))) into (- (/ 1 x)) 8.912 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 8.912 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.912 * [taylor]: Taking taylor expansion of x in x 8.912 * [backup-simplify]: Simplify 0 into 0 8.912 * [backup-simplify]: Simplify 1 into 1 8.912 * [backup-simplify]: Simplify (/ 1 1) into 1 8.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.913 * [backup-simplify]: Simplify (- 0) into 0 8.913 * [backup-simplify]: Simplify 0 into 0 8.913 * [backup-simplify]: Simplify 0 into 0 8.914 * [backup-simplify]: Simplify (+ 0 0) into 0 8.914 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 0 x)) (* (- (/ 1 x)) (/ 1 x)))) into (/ 1 (pow x 2)) 8.914 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.914 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.914 * [taylor]: Taking taylor expansion of x in x 8.914 * [backup-simplify]: Simplify 0 into 0 8.914 * [backup-simplify]: Simplify 1 into 1 8.914 * [backup-simplify]: Simplify (* 1 1) into 1 8.914 * [backup-simplify]: Simplify (/ 1 1) into 1 8.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.917 * [backup-simplify]: Simplify 0 into 0 8.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.918 * [backup-simplify]: Simplify (- 0) into 0 8.918 * [backup-simplify]: Simplify 0 into 0 8.918 * [backup-simplify]: Simplify 0 into 0 8.918 * [backup-simplify]: Simplify 0 into 0 8.918 * [backup-simplify]: Simplify (/ 1 (/ (+ (/ 1 y) (/ 1 x)) (/ 1 x))) into (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) 8.918 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (y x) around 0 8.918 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 8.918 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 8.918 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.919 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.919 * [taylor]: Taking taylor expansion of y in x 8.919 * [backup-simplify]: Simplify y into y 8.919 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.919 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.919 * [taylor]: Taking taylor expansion of x in x 8.919 * [backup-simplify]: Simplify 0 into 0 8.919 * [backup-simplify]: Simplify 1 into 1 8.919 * [backup-simplify]: Simplify (/ 1 1) into 1 8.919 * [taylor]: Taking taylor expansion of x in x 8.919 * [backup-simplify]: Simplify 0 into 0 8.919 * [backup-simplify]: Simplify 1 into 1 8.919 * [backup-simplify]: Simplify (+ 0 1) into 1 8.919 * [backup-simplify]: Simplify (* 1 0) into 0 8.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.920 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 8.920 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 8.921 * [backup-simplify]: Simplify (/ 1 1) into 1 8.921 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 8.921 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 8.921 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 8.921 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.921 * [taylor]: Taking taylor expansion of y in y 8.921 * [backup-simplify]: Simplify 0 into 0 8.921 * [backup-simplify]: Simplify 1 into 1 8.921 * [backup-simplify]: Simplify (/ 1 1) into 1 8.921 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.921 * [taylor]: Taking taylor expansion of x in y 8.921 * [backup-simplify]: Simplify x into x 8.921 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.921 * [taylor]: Taking taylor expansion of x in y 8.921 * [backup-simplify]: Simplify x into x 8.921 * [backup-simplify]: Simplify (+ 1 0) into 1 8.921 * [backup-simplify]: Simplify (* 1 x) into x 8.921 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.921 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 8.921 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 8.921 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 8.921 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.922 * [taylor]: Taking taylor expansion of y in y 8.922 * [backup-simplify]: Simplify 0 into 0 8.922 * [backup-simplify]: Simplify 1 into 1 8.922 * [backup-simplify]: Simplify (/ 1 1) into 1 8.922 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.922 * [taylor]: Taking taylor expansion of x in y 8.922 * [backup-simplify]: Simplify x into x 8.922 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.922 * [taylor]: Taking taylor expansion of x in y 8.922 * [backup-simplify]: Simplify x into x 8.922 * [backup-simplify]: Simplify (+ 1 0) into 1 8.922 * [backup-simplify]: Simplify (* 1 x) into x 8.922 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.922 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.922 * [taylor]: Taking taylor expansion of x in x 8.922 * [backup-simplify]: Simplify 0 into 0 8.922 * [backup-simplify]: Simplify 1 into 1 8.923 * [backup-simplify]: Simplify (/ 1 1) into 1 8.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.923 * [backup-simplify]: Simplify 0 into 0 8.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.924 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 8.924 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 x) x)) into 1 8.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 1 x)))) into (- (/ 1 (pow x 2))) 8.924 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 8.924 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.924 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.924 * [taylor]: Taking taylor expansion of x in x 8.924 * [backup-simplify]: Simplify 0 into 0 8.924 * [backup-simplify]: Simplify 1 into 1 8.925 * [backup-simplify]: Simplify (* 1 1) into 1 8.925 * [backup-simplify]: Simplify (/ 1 1) into 1 8.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.927 * [backup-simplify]: Simplify (- 0) into 0 8.927 * [backup-simplify]: Simplify 0 into 0 8.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.928 * [backup-simplify]: Simplify 0 into 0 8.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 8.929 * [backup-simplify]: Simplify (+ 0 0) into 0 8.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 0) (* 0 x))) into 0 8.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* (- (/ 1 (pow x 2))) (/ 1 x)))) into (/ 1 (pow x 3)) 8.929 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 8.929 * [taylor]: Taking taylor expansion of (pow x 3) in x 8.929 * [taylor]: Taking taylor expansion of x in x 8.929 * [backup-simplify]: Simplify 0 into 0 8.929 * [backup-simplify]: Simplify 1 into 1 8.930 * [backup-simplify]: Simplify (* 1 1) into 1 8.930 * [backup-simplify]: Simplify (* 1 1) into 1 8.930 * [backup-simplify]: Simplify (/ 1 1) into 1 8.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.939 * [backup-simplify]: Simplify 0 into 0 8.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.940 * [backup-simplify]: Simplify (- 0) into 0 8.940 * [backup-simplify]: Simplify 0 into 0 8.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.941 * [backup-simplify]: Simplify 0 into 0 8.941 * [backup-simplify]: Simplify 0 into 0 8.941 * [backup-simplify]: Simplify (/ 1 (/ (+ (/ 1 (- y)) (/ 1 (- x))) (/ 1 (- x)))) into (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) 8.941 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (y x) around 0 8.941 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 8.941 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 8.941 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.941 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.941 * [taylor]: Taking taylor expansion of y in x 8.941 * [backup-simplify]: Simplify y into y 8.941 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.941 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.941 * [taylor]: Taking taylor expansion of x in x 8.942 * [backup-simplify]: Simplify 0 into 0 8.942 * [backup-simplify]: Simplify 1 into 1 8.942 * [backup-simplify]: Simplify (/ 1 1) into 1 8.942 * [taylor]: Taking taylor expansion of x in x 8.942 * [backup-simplify]: Simplify 0 into 0 8.942 * [backup-simplify]: Simplify 1 into 1 8.942 * [backup-simplify]: Simplify (+ 0 1) into 1 8.942 * [backup-simplify]: Simplify (* 1 0) into 0 8.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.943 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 8.943 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 y) 0)) into 1 8.943 * [backup-simplify]: Simplify (/ 1 1) into 1 8.943 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 8.943 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 8.943 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 8.943 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.943 * [taylor]: Taking taylor expansion of y in y 8.943 * [backup-simplify]: Simplify 0 into 0 8.944 * [backup-simplify]: Simplify 1 into 1 8.944 * [backup-simplify]: Simplify (/ 1 1) into 1 8.944 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.944 * [taylor]: Taking taylor expansion of x in y 8.944 * [backup-simplify]: Simplify x into x 8.944 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.944 * [taylor]: Taking taylor expansion of x in y 8.944 * [backup-simplify]: Simplify x into x 8.944 * [backup-simplify]: Simplify (+ 1 0) into 1 8.944 * [backup-simplify]: Simplify (* 1 x) into x 8.944 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.944 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 8.944 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 8.944 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 8.944 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.944 * [taylor]: Taking taylor expansion of y in y 8.944 * [backup-simplify]: Simplify 0 into 0 8.944 * [backup-simplify]: Simplify 1 into 1 8.945 * [backup-simplify]: Simplify (/ 1 1) into 1 8.945 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.945 * [taylor]: Taking taylor expansion of x in y 8.945 * [backup-simplify]: Simplify x into x 8.945 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.945 * [taylor]: Taking taylor expansion of x in y 8.945 * [backup-simplify]: Simplify x into x 8.945 * [backup-simplify]: Simplify (+ 1 0) into 1 8.945 * [backup-simplify]: Simplify (* 1 x) into x 8.945 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.945 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.945 * [taylor]: Taking taylor expansion of x in x 8.945 * [backup-simplify]: Simplify 0 into 0 8.945 * [backup-simplify]: Simplify 1 into 1 8.945 * [backup-simplify]: Simplify (/ 1 1) into 1 8.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.946 * [backup-simplify]: Simplify 0 into 0 8.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.947 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 8.947 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 x) x)) into 1 8.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 1 x)))) into (- (/ 1 (pow x 2))) 8.947 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 8.947 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.947 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.947 * [taylor]: Taking taylor expansion of x in x 8.947 * [backup-simplify]: Simplify 0 into 0 8.947 * [backup-simplify]: Simplify 1 into 1 8.947 * [backup-simplify]: Simplify (* 1 1) into 1 8.948 * [backup-simplify]: Simplify (/ 1 1) into 1 8.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.950 * [backup-simplify]: Simplify (- 0) into 0 8.950 * [backup-simplify]: Simplify 0 into 0 8.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.950 * [backup-simplify]: Simplify 0 into 0 8.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 8.951 * [backup-simplify]: Simplify (+ 0 0) into 0 8.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 0) (* 0 x))) into 0 8.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* (- (/ 1 (pow x 2))) (/ 1 x)))) into (/ 1 (pow x 3)) 8.952 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 8.952 * [taylor]: Taking taylor expansion of (pow x 3) in x 8.952 * [taylor]: Taking taylor expansion of x in x 8.952 * [backup-simplify]: Simplify 0 into 0 8.952 * [backup-simplify]: Simplify 1 into 1 8.952 * [backup-simplify]: Simplify (* 1 1) into 1 8.952 * [backup-simplify]: Simplify (* 1 1) into 1 8.952 * [backup-simplify]: Simplify (/ 1 1) into 1 8.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.957 * [backup-simplify]: Simplify 0 into 0 8.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.958 * [backup-simplify]: Simplify (- 0) into 0 8.958 * [backup-simplify]: Simplify 0 into 0 8.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.959 * [backup-simplify]: Simplify 0 into 0 8.959 * [backup-simplify]: Simplify 0 into 0 8.959 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 8.959 * [backup-simplify]: Simplify (/ (+ y x) x) into (/ (+ x y) x) 8.959 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (y x) around 0 8.959 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 8.959 * [taylor]: Taking taylor expansion of (+ x y) in x 8.959 * [taylor]: Taking taylor expansion of x in x 8.959 * [backup-simplify]: Simplify 0 into 0 8.959 * [backup-simplify]: Simplify 1 into 1 8.959 * [taylor]: Taking taylor expansion of y in x 8.959 * [backup-simplify]: Simplify y into y 8.959 * [taylor]: Taking taylor expansion of x in x 8.959 * [backup-simplify]: Simplify 0 into 0 8.959 * [backup-simplify]: Simplify 1 into 1 8.959 * [backup-simplify]: Simplify (+ 0 y) into y 8.959 * [backup-simplify]: Simplify (/ y 1) into y 8.959 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 8.959 * [taylor]: Taking taylor expansion of (+ x y) in y 8.959 * [taylor]: Taking taylor expansion of x in y 8.959 * [backup-simplify]: Simplify x into x 8.959 * [taylor]: Taking taylor expansion of y in y 8.959 * [backup-simplify]: Simplify 0 into 0 8.959 * [backup-simplify]: Simplify 1 into 1 8.959 * [taylor]: Taking taylor expansion of x in y 8.959 * [backup-simplify]: Simplify x into x 8.959 * [backup-simplify]: Simplify (+ x 0) into x 8.959 * [backup-simplify]: Simplify (/ x x) into 1 8.959 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 8.959 * [taylor]: Taking taylor expansion of (+ x y) in y 8.959 * [taylor]: Taking taylor expansion of x in y 8.959 * [backup-simplify]: Simplify x into x 8.959 * [taylor]: Taking taylor expansion of y in y 8.959 * [backup-simplify]: Simplify 0 into 0 8.959 * [backup-simplify]: Simplify 1 into 1 8.959 * [taylor]: Taking taylor expansion of x in y 8.959 * [backup-simplify]: Simplify x into x 8.959 * [backup-simplify]: Simplify (+ x 0) into x 8.960 * [backup-simplify]: Simplify (/ x x) into 1 8.960 * [taylor]: Taking taylor expansion of 1 in x 8.960 * [backup-simplify]: Simplify 1 into 1 8.960 * [backup-simplify]: Simplify (+ 0 1) into 1 8.960 * [backup-simplify]: Simplify (- (/ 1 x) (+ (* 1 (/ 0 x)))) into (/ 1 x) 8.960 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.960 * [taylor]: Taking taylor expansion of x in x 8.960 * [backup-simplify]: Simplify 0 into 0 8.960 * [backup-simplify]: Simplify 1 into 1 8.960 * [backup-simplify]: Simplify (/ 1 1) into 1 8.960 * [backup-simplify]: Simplify 1 into 1 8.960 * [backup-simplify]: Simplify 1 into 1 8.961 * [backup-simplify]: Simplify (+ 0 0) into 0 8.961 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 0 x)) (* (/ 1 x) (/ 0 x)))) into 0 8.961 * [taylor]: Taking taylor expansion of 0 in x 8.961 * [backup-simplify]: Simplify 0 into 0 8.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.961 * [backup-simplify]: Simplify 0 into 0 8.961 * [backup-simplify]: Simplify 0 into 0 8.962 * [backup-simplify]: Simplify (+ 0 0) into 0 8.962 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 0 x)) (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.962 * [taylor]: Taking taylor expansion of 0 in x 8.962 * [backup-simplify]: Simplify 0 into 0 8.962 * [backup-simplify]: Simplify 0 into 0 8.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.962 * [backup-simplify]: Simplify 0 into 0 8.962 * [backup-simplify]: Simplify 0 into 0 8.963 * [backup-simplify]: Simplify (+ 0 0) into 0 8.963 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 0 x)) (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.963 * [taylor]: Taking taylor expansion of 0 in x 8.963 * [backup-simplify]: Simplify 0 into 0 8.963 * [backup-simplify]: Simplify 0 into 0 8.963 * [backup-simplify]: Simplify (+ 1 (* 1 (* (/ 1 x) y))) into (+ (/ y x) 1) 8.963 * [backup-simplify]: Simplify (/ (+ (/ 1 y) (/ 1 x)) (/ 1 x)) into (* (+ (/ 1 y) (/ 1 x)) x) 8.963 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (y x) around 0 8.963 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 8.963 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.963 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.963 * [taylor]: Taking taylor expansion of y in x 8.963 * [backup-simplify]: Simplify y into y 8.963 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.963 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.964 * [taylor]: Taking taylor expansion of x in x 8.964 * [backup-simplify]: Simplify 0 into 0 8.964 * [backup-simplify]: Simplify 1 into 1 8.964 * [backup-simplify]: Simplify (/ 1 1) into 1 8.964 * [taylor]: Taking taylor expansion of x in x 8.964 * [backup-simplify]: Simplify 0 into 0 8.964 * [backup-simplify]: Simplify 1 into 1 8.964 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 8.964 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 8.964 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.964 * [taylor]: Taking taylor expansion of y in y 8.964 * [backup-simplify]: Simplify 0 into 0 8.964 * [backup-simplify]: Simplify 1 into 1 8.965 * [backup-simplify]: Simplify (/ 1 1) into 1 8.965 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.965 * [taylor]: Taking taylor expansion of x in y 8.965 * [backup-simplify]: Simplify x into x 8.965 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.965 * [taylor]: Taking taylor expansion of x in y 8.965 * [backup-simplify]: Simplify x into x 8.965 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 8.965 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 8.965 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.965 * [taylor]: Taking taylor expansion of y in y 8.965 * [backup-simplify]: Simplify 0 into 0 8.965 * [backup-simplify]: Simplify 1 into 1 8.965 * [backup-simplify]: Simplify (/ 1 1) into 1 8.965 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.965 * [taylor]: Taking taylor expansion of x in y 8.965 * [backup-simplify]: Simplify x into x 8.965 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.965 * [taylor]: Taking taylor expansion of x in y 8.966 * [backup-simplify]: Simplify x into x 8.966 * [backup-simplify]: Simplify (+ 1 0) into 1 8.966 * [backup-simplify]: Simplify (* 1 x) into x 8.966 * [taylor]: Taking taylor expansion of x in x 8.966 * [backup-simplify]: Simplify 0 into 0 8.966 * [backup-simplify]: Simplify 1 into 1 8.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.967 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 8.967 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 x) x)) into 1 8.967 * [taylor]: Taking taylor expansion of 1 in x 8.967 * [backup-simplify]: Simplify 1 into 1 8.968 * [backup-simplify]: Simplify 0 into 0 8.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.969 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 8.969 * [backup-simplify]: Simplify (+ 0 0) into 0 8.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 0) (* 0 x))) into 0 8.970 * [taylor]: Taking taylor expansion of 0 in x 8.970 * [backup-simplify]: Simplify 0 into 0 8.970 * [backup-simplify]: Simplify 1 into 1 8.970 * [backup-simplify]: Simplify 1 into 1 8.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.971 * [backup-simplify]: Simplify (+ 0 0) into 0 8.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 x)))) into 0 8.972 * [taylor]: Taking taylor expansion of 0 in x 8.972 * [backup-simplify]: Simplify 0 into 0 8.972 * [backup-simplify]: Simplify 0 into 0 8.972 * [backup-simplify]: Simplify 0 into 0 8.972 * [backup-simplify]: Simplify 0 into 0 8.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.973 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.974 * [backup-simplify]: Simplify (+ 0 0) into 0 8.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 8.975 * [taylor]: Taking taylor expansion of 0 in x 8.975 * [backup-simplify]: Simplify 0 into 0 8.975 * [backup-simplify]: Simplify 0 into 0 8.975 * [backup-simplify]: Simplify 0 into 0 8.975 * [backup-simplify]: Simplify 0 into 0 8.975 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 x) (/ 1 (/ 1 y)))) 1) into (+ (/ y x) 1) 8.976 * [backup-simplify]: Simplify (/ (+ (/ 1 (- y)) (/ 1 (- x))) (/ 1 (- x))) into (* (+ (/ 1 y) (/ 1 x)) x) 8.976 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (y x) around 0 8.976 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 8.976 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.976 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.976 * [taylor]: Taking taylor expansion of y in x 8.976 * [backup-simplify]: Simplify y into y 8.976 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.976 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.976 * [taylor]: Taking taylor expansion of x in x 8.976 * [backup-simplify]: Simplify 0 into 0 8.976 * [backup-simplify]: Simplify 1 into 1 8.976 * [backup-simplify]: Simplify (/ 1 1) into 1 8.976 * [taylor]: Taking taylor expansion of x in x 8.976 * [backup-simplify]: Simplify 0 into 0 8.976 * [backup-simplify]: Simplify 1 into 1 8.976 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 8.976 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 8.977 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.977 * [taylor]: Taking taylor expansion of y in y 8.977 * [backup-simplify]: Simplify 0 into 0 8.977 * [backup-simplify]: Simplify 1 into 1 8.977 * [backup-simplify]: Simplify (/ 1 1) into 1 8.977 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.977 * [taylor]: Taking taylor expansion of x in y 8.977 * [backup-simplify]: Simplify x into x 8.977 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.977 * [taylor]: Taking taylor expansion of x in y 8.977 * [backup-simplify]: Simplify x into x 8.977 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 8.977 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 8.978 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.978 * [taylor]: Taking taylor expansion of y in y 8.978 * [backup-simplify]: Simplify 0 into 0 8.978 * [backup-simplify]: Simplify 1 into 1 8.978 * [backup-simplify]: Simplify (/ 1 1) into 1 8.978 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.978 * [taylor]: Taking taylor expansion of x in y 8.978 * [backup-simplify]: Simplify x into x 8.978 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.978 * [taylor]: Taking taylor expansion of x in y 8.978 * [backup-simplify]: Simplify x into x 8.979 * [backup-simplify]: Simplify (+ 1 0) into 1 8.979 * [backup-simplify]: Simplify (* 1 x) into x 8.979 * [taylor]: Taking taylor expansion of x in x 8.979 * [backup-simplify]: Simplify 0 into 0 8.979 * [backup-simplify]: Simplify 1 into 1 8.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.980 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 8.980 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 x) x)) into 1 8.980 * [taylor]: Taking taylor expansion of 1 in x 8.980 * [backup-simplify]: Simplify 1 into 1 8.980 * [backup-simplify]: Simplify 0 into 0 8.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.981 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 8.982 * [backup-simplify]: Simplify (+ 0 0) into 0 8.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 0) (* 0 x))) into 0 8.982 * [taylor]: Taking taylor expansion of 0 in x 8.982 * [backup-simplify]: Simplify 0 into 0 8.982 * [backup-simplify]: Simplify 1 into 1 8.982 * [backup-simplify]: Simplify 1 into 1 8.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.984 * [backup-simplify]: Simplify (+ 0 0) into 0 8.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 x)))) into 0 8.985 * [taylor]: Taking taylor expansion of 0 in x 8.985 * [backup-simplify]: Simplify 0 into 0 8.985 * [backup-simplify]: Simplify 0 into 0 8.985 * [backup-simplify]: Simplify 0 into 0 8.985 * [backup-simplify]: Simplify 0 into 0 8.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.987 * [backup-simplify]: Simplify (+ 0 0) into 0 8.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 8.987 * [taylor]: Taking taylor expansion of 0 in x 8.987 * [backup-simplify]: Simplify 0 into 0 8.987 * [backup-simplify]: Simplify 0 into 0 8.987 * [backup-simplify]: Simplify 0 into 0 8.988 * [backup-simplify]: Simplify 0 into 0 8.988 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) 1) into (+ (/ y x) 1) 8.988 * * * [progress]: simplifying candidates 8.990 * [simplify]: Simplifying: (- 1) (- (- (log (+ y x)) (log x))) (- (log (/ (+ y x) x))) (- 0 (- (log (+ y x)) (log x))) (- 0 (log (/ (+ y x) x))) (- (log 1) (- (log (+ y x)) (log x))) (- (log 1) (log (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (exp (/ 1 (/ (+ y x) x))) (/ (* (* 1 1) 1) (/ (* (* (+ y x) (+ y x)) (+ y x)) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (+ y x) x) (/ (+ y x) x)) (/ (+ y x) x))) (* (cbrt (/ 1 (/ (+ y x) x))) (cbrt (/ 1 (/ (+ y x) x)))) (cbrt (/ 1 (/ (+ y x) x))) (* (* (/ 1 (/ (+ y x) x)) (/ 1 (/ (+ y x) x))) (/ 1 (/ (+ y x) x))) (sqrt (/ 1 (/ (+ y x) x))) (sqrt (/ 1 (/ (+ y x) x))) (- 1) (- (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ (cbrt 1) (cbrt (/ (+ y x) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ y x) x))) (/ (cbrt 1) (sqrt (/ (+ y x) x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (cbrt (+ y x)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ (cbrt 1) (/ (cbrt (+ y x)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ (cbrt 1) (/ (cbrt (+ y x)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (sqrt (+ y x)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y x)) (sqrt x))) (/ (cbrt 1) (/ (sqrt (+ y x)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y x)) 1)) (/ (cbrt 1) (/ (sqrt (+ y x)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ y x) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ y x) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ y x) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ y x) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) (+ y x)) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ (sqrt 1) (cbrt (/ (+ y x) x))) (/ (sqrt 1) (sqrt (/ (+ y x) x))) (/ (sqrt 1) (sqrt (/ (+ y x) x))) (/ (sqrt 1) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (cbrt (+ y x)) (cbrt x))) (/ (sqrt 1) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ (sqrt 1) (/ (cbrt (+ y x)) (sqrt x))) (/ (sqrt 1) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ (sqrt 1) (/ (cbrt (+ y x)) x)) (/ (sqrt 1) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (sqrt (+ y x)) (cbrt x))) (/ (sqrt 1) (/ (sqrt (+ y x)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ y x)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ y x)) 1)) (/ (sqrt 1) (/ (sqrt (+ y x)) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ y x) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ y x) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ y x) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ y x) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ y x) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ y x) x)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ y x) x)) (/ (sqrt 1) (+ y x)) (/ (sqrt 1) (/ 1 x)) (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (cbrt (+ y x)) (cbrt x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ 1 (/ (cbrt (+ y x)) (sqrt x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ 1 (/ (cbrt (+ y x)) x)) (/ 1 (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ y x)) (cbrt x))) (/ 1 (/ (sqrt (+ y x)) (sqrt x))) (/ 1 (/ (sqrt (+ y x)) (sqrt x))) (/ 1 (/ (sqrt (+ y x)) 1)) (/ 1 (/ (sqrt (+ y x)) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ y x) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ y x) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ y x) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ y x) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ y x) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ y x) x)) (/ 1 1) (/ 1 (/ (+ y x) x)) (/ 1 (+ y x)) (/ 1 (/ 1 x)) (/ 1 (/ (+ y x) x)) (/ (/ (+ y x) x) 1) (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ 1 (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ y x)) (sqrt x))) (/ 1 (/ (sqrt (+ y x)) 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (+ y x)) (/ (/ (+ y x) x) (cbrt 1)) (/ (/ (+ y x) x) (sqrt 1)) (/ (/ (+ y x) x) 1) (/ 1 (+ y x)) (- (log (+ y x)) (log x)) (log (/ (+ y x) x)) (exp (/ (+ y x) x)) (/ (* (* (+ y x) (+ y x)) (+ y x)) (* (* x x) x)) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x)) (* (* (/ (+ y x) x) (/ (+ y x) x)) (/ (+ y x) x)) (sqrt (/ (+ y x) x)) (sqrt (/ (+ y x) x)) (- (+ y x)) (- x) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ y x)) (cbrt x)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x)) (/ (cbrt (+ y x)) (sqrt x)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1) (/ (cbrt (+ y x)) x) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ y x)) (cbrt x)) (/ (sqrt (+ y x)) (sqrt x)) (/ (sqrt (+ y x)) (sqrt x)) (/ (sqrt (+ y x)) 1) (/ (sqrt (+ y x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) (/ 1 1) (/ (+ y x) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) (/ 1 1) (/ (+ y x) x) (/ 1 x) (/ x (+ y x)) (/ (+ y x) (* (cbrt x) (cbrt x))) (/ (+ y x) (sqrt x)) (/ (+ y x) 1) (/ x (cbrt (+ y x))) (/ x (sqrt (+ y x))) (/ x (+ y x)) (/ x (+ y x)) (* x (+ (* y y) (- (* x x) (* y x)))) (* x (- y x)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 8.992 * * [simplify]: Extracting # 0 : cost 0 8.992 * * [simplify]: Extracting # 1 : cost 0 8.992 * * [simplify]: Extracting # 2 : cost 0 8.992 * * [simplify]: Extracting # 3 : cost 0 8.993 * * [simplify]: Extracting # 4 : cost 0 8.993 * * [simplify]: Extracting # 5 : cost 0 8.993 * * [simplify]: Extracting # 6 : cost 0 8.993 * * [simplify]: iteration 0 : 156 enodes (cost 1634 ) 9.064 * * [simplify]: Extracting # 0 : cost 0 9.064 * * [simplify]: Extracting # 1 : cost 0 9.065 * * [simplify]: Extracting # 2 : cost 0 9.066 * * [simplify]: Extracting # 3 : cost 0 9.066 * * [simplify]: Extracting # 4 : cost 0 9.067 * * [simplify]: iteration 1 : 335 enodes (cost 1347 ) 9.127 * * [simplify]: Extracting # 0 : cost 0 9.128 * * [simplify]: Extracting # 1 : cost 0 9.129 * * [simplify]: Extracting # 2 : cost 0 9.130 * * [simplify]: Extracting # 3 : cost 0 9.131 * * [simplify]: Extracting # 4 : cost 0 9.132 * * [simplify]: iteration 2 : 654 enodes (cost 1180 ) 9.416 * * [simplify]: Extracting # 0 : cost 0 9.417 * * [simplify]: Extracting # 1 : cost 0 9.422 * * [simplify]: Extracting # 2 : cost 0 9.423 * * [simplify]: Extracting # 3 : cost 0 9.424 * * [simplify]: Extracting # 4 : cost 0 9.425 * * [simplify]: Extracting # 5 : cost 0 9.426 * * [simplify]: iteration 3 : 1319 enodes (cost 1156 ) 10.833 * * [simplify]: Extracting # 0 : cost 0 10.839 * * [simplify]: Extracting # 1 : cost 0 10.842 * * [simplify]: Extracting # 2 : cost 0 10.845 * * [simplify]: Extracting # 3 : cost 0 10.848 * * [simplify]: Extracting # 4 : cost 0 10.852 * * [simplify]: iteration 4 : 2384 enodes (cost 1156 ) 12.509 * * [simplify]: Extracting # 0 : cost 0 12.519 * * [simplify]: Extracting # 1 : cost 0 12.527 * * [simplify]: Extracting # 2 : cost 0 12.534 * * [simplify]: Extracting # 3 : cost 0 12.542 * * [simplify]: Extracting # 4 : cost 0 12.550 * * [simplify]: iteration done: 5000 enodes (cost 1155 ) 12.551 * [simplify]: Simplified to: -1 (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (pow (/ x (+ y x)) 3) (pow (/ x (+ y x)) 3) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (pow (/ x (+ y x)) 3) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) -1 (- -1 (/ y x)) (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (/ 1 (cbrt (+ y x))) (cbrt (+ x y))) (/ x (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ x y)) x (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (/ 1 (cbrt (+ y x))) (cbrt (+ x y))) (/ x (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ x y)) x (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (/ 1 (cbrt (+ y x))) (cbrt (+ x y))) (/ x (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ x y)) x (/ x (+ y x)) (/ (+ y x) x) (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (/ 1 (cbrt (+ y x))) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (sqrt x) 1 (* (cbrt x) (cbrt x)) (sqrt x) 1 1 (/ 1 (+ x y)) (/ (+ y x) x) (/ (+ y x) x) (/ (+ y x) x) (/ 1 (+ x y)) (log (/ (+ y x) x)) (log (/ (+ y x) x)) (exp (/ (+ y x) x)) (pow (/ (+ y x) x) 3) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x)) (pow (/ (+ y x) x) 3) (sqrt (/ (+ y x) x)) (sqrt (/ (+ y x) x)) (- (+ y x)) (- x) (/ (* (/ (cbrt (+ y x)) (cbrt x)) (cbrt (+ y x))) (cbrt x)) (/ (cbrt (+ y x)) (cbrt x)) (* (/ (cbrt (+ x y)) (sqrt x)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (sqrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ y x)) x) (/ (/ (sqrt (+ y x)) (cbrt x)) (cbrt x)) (/ (sqrt (+ y x)) (cbrt x)) (/ (sqrt (+ y x)) (sqrt x)) (/ (sqrt (+ y x)) (sqrt x)) (sqrt (+ y x)) (/ (sqrt (+ y x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) 1 (/ (+ y x) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) 1 (/ (+ y x) x) (/ 1 x) (/ x (+ y x)) (/ (+ y x) (* (cbrt x) (cbrt x))) (/ (+ y x) (sqrt x)) (+ y x) (/ x (cbrt (+ y x))) (/ x (sqrt (+ y x))) (/ x (+ y x)) (/ x (+ y x)) (* (+ (* x (- x y)) (* y y)) x) (* x (- y x)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 12.553 * * * [progress]: adding candidates to table 12.792 * * [progress]: iteration 4 / 4 12.792 * * * [progress]: picking best candidate 12.795 * * * * [pick]: Picked # 12.795 * * * [progress]: localizing error 12.810 * * * [progress]: generating rewritten candidates 12.810 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 12.830 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 12.850 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 12.945 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 12.991 * * * [progress]: generating series expansions 12.991 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 12.992 * [backup-simplify]: Simplify (sqrt (/ x (+ y x))) into (sqrt (/ x (+ x y))) 12.992 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 12.992 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 12.992 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 12.992 * [taylor]: Taking taylor expansion of x in y 12.992 * [backup-simplify]: Simplify x into x 12.992 * [taylor]: Taking taylor expansion of (+ x y) in y 12.992 * [taylor]: Taking taylor expansion of x in y 12.992 * [backup-simplify]: Simplify x into x 12.992 * [taylor]: Taking taylor expansion of y in y 12.992 * [backup-simplify]: Simplify 0 into 0 12.992 * [backup-simplify]: Simplify 1 into 1 12.992 * [backup-simplify]: Simplify (+ x 0) into x 12.992 * [backup-simplify]: Simplify (/ x x) into 1 12.993 * [backup-simplify]: Simplify (sqrt 1) into 1 12.998 * [backup-simplify]: Simplify (+ 0 1) into 1 12.999 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 1 x)))) into (- (/ 1 x)) 12.999 * [backup-simplify]: Simplify (/ (- (/ 1 x)) (* 2 (sqrt 1))) into (/ -1/2 x) 12.999 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 12.999 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 12.999 * [taylor]: Taking taylor expansion of x in x 12.999 * [backup-simplify]: Simplify 0 into 0 12.999 * [backup-simplify]: Simplify 1 into 1 12.999 * [taylor]: Taking taylor expansion of (+ x y) in x 12.999 * [taylor]: Taking taylor expansion of x in x 13.000 * [backup-simplify]: Simplify 0 into 0 13.000 * [backup-simplify]: Simplify 1 into 1 13.000 * [taylor]: Taking taylor expansion of y in x 13.000 * [backup-simplify]: Simplify y into y 13.000 * [backup-simplify]: Simplify (+ 0 y) into y 13.000 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.000 * [backup-simplify]: Simplify (sqrt 0) into 0 13.001 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 13.001 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 13.001 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 13.001 * [taylor]: Taking taylor expansion of x in x 13.001 * [backup-simplify]: Simplify 0 into 0 13.001 * [backup-simplify]: Simplify 1 into 1 13.001 * [taylor]: Taking taylor expansion of (+ x y) in x 13.001 * [taylor]: Taking taylor expansion of x in x 13.001 * [backup-simplify]: Simplify 0 into 0 13.001 * [backup-simplify]: Simplify 1 into 1 13.001 * [taylor]: Taking taylor expansion of y in x 13.001 * [backup-simplify]: Simplify y into y 13.001 * [backup-simplify]: Simplify (+ 0 y) into y 13.001 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.001 * [backup-simplify]: Simplify (sqrt 0) into 0 13.002 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 13.002 * [taylor]: Taking taylor expansion of 0 in y 13.002 * [backup-simplify]: Simplify 0 into 0 13.002 * [backup-simplify]: Simplify 0 into 0 13.002 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 13.002 * [taylor]: Taking taylor expansion of +nan.0 in y 13.002 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.002 * [taylor]: Taking taylor expansion of y in y 13.002 * [backup-simplify]: Simplify 0 into 0 13.002 * [backup-simplify]: Simplify 1 into 1 13.003 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 13.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 13.004 * [backup-simplify]: Simplify 0 into 0 13.004 * [backup-simplify]: Simplify 0 into 0 13.004 * [backup-simplify]: Simplify (+ 1 0) into 1 13.005 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 13.006 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 2))) (pow (/ +nan.0 y) 2) (+)) (* 2 0)) into (/ +nan.0 (pow y 2)) 13.006 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 13.006 * [taylor]: Taking taylor expansion of +nan.0 in y 13.006 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.006 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.006 * [taylor]: Taking taylor expansion of y in y 13.006 * [backup-simplify]: Simplify 0 into 0 13.006 * [backup-simplify]: Simplify 1 into 1 13.006 * [backup-simplify]: Simplify (* 1 1) into 1 13.007 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 13.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 13.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.010 * [backup-simplify]: Simplify 0 into 0 13.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.011 * [backup-simplify]: Simplify 0 into 0 13.011 * [backup-simplify]: Simplify 0 into 0 13.011 * [backup-simplify]: Simplify 0 into 0 13.011 * [backup-simplify]: Simplify (sqrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 13.011 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 13.011 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 13.011 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 13.011 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 13.011 * [taylor]: Taking taylor expansion of x in y 13.011 * [backup-simplify]: Simplify x into x 13.011 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 13.011 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.011 * [taylor]: Taking taylor expansion of y in y 13.011 * [backup-simplify]: Simplify 0 into 0 13.011 * [backup-simplify]: Simplify 1 into 1 13.012 * [backup-simplify]: Simplify (/ 1 1) into 1 13.012 * [taylor]: Taking taylor expansion of (/ 1 x) in y 13.012 * [taylor]: Taking taylor expansion of x in y 13.012 * [backup-simplify]: Simplify x into x 13.012 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.012 * [backup-simplify]: Simplify (+ 1 0) into 1 13.012 * [backup-simplify]: Simplify (* x 1) into x 13.012 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.013 * [backup-simplify]: Simplify (sqrt 0) into 0 13.013 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 13.013 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 13.013 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 13.013 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 13.013 * [taylor]: Taking taylor expansion of x in x 13.013 * [backup-simplify]: Simplify 0 into 0 13.013 * [backup-simplify]: Simplify 1 into 1 13.013 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.013 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.013 * [taylor]: Taking taylor expansion of y in x 13.013 * [backup-simplify]: Simplify y into y 13.013 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.013 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.013 * [taylor]: Taking taylor expansion of x in x 13.013 * [backup-simplify]: Simplify 0 into 0 13.013 * [backup-simplify]: Simplify 1 into 1 13.014 * [backup-simplify]: Simplify (/ 1 1) into 1 13.014 * [backup-simplify]: Simplify (+ 0 1) into 1 13.014 * [backup-simplify]: Simplify (* 0 1) into 0 13.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.015 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.015 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 13.015 * [backup-simplify]: Simplify (/ 1 1) into 1 13.015 * [backup-simplify]: Simplify (sqrt 1) into 1 13.015 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 13.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.016 * [backup-simplify]: Simplify (+ 0 0) into 0 13.017 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 13.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 13.017 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 13.017 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 13.017 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 13.017 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 13.017 * [taylor]: Taking taylor expansion of x in x 13.017 * [backup-simplify]: Simplify 0 into 0 13.017 * [backup-simplify]: Simplify 1 into 1 13.017 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.017 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.017 * [taylor]: Taking taylor expansion of y in x 13.017 * [backup-simplify]: Simplify y into y 13.017 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.017 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.017 * [taylor]: Taking taylor expansion of x in x 13.017 * [backup-simplify]: Simplify 0 into 0 13.017 * [backup-simplify]: Simplify 1 into 1 13.018 * [backup-simplify]: Simplify (/ 1 1) into 1 13.018 * [backup-simplify]: Simplify (+ 0 1) into 1 13.018 * [backup-simplify]: Simplify (* 0 1) into 0 13.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.019 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.019 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 13.019 * [backup-simplify]: Simplify (/ 1 1) into 1 13.019 * [backup-simplify]: Simplify (sqrt 1) into 1 13.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 13.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.020 * [backup-simplify]: Simplify (+ 0 0) into 0 13.021 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 13.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 13.021 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 13.021 * [taylor]: Taking taylor expansion of 1 in y 13.021 * [backup-simplify]: Simplify 1 into 1 13.021 * [backup-simplify]: Simplify 1 into 1 13.021 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 13.021 * [taylor]: Taking taylor expansion of -1/2 in y 13.021 * [backup-simplify]: Simplify -1/2 into -1/2 13.021 * [taylor]: Taking taylor expansion of y in y 13.021 * [backup-simplify]: Simplify 0 into 0 13.022 * [backup-simplify]: Simplify 1 into 1 13.022 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 13.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 13.022 * [backup-simplify]: Simplify 0 into 0 13.022 * [backup-simplify]: Simplify 0 into 0 13.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 13.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.023 * [backup-simplify]: Simplify (+ 0 0) into 0 13.024 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 13.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 13.025 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 13.025 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 13.025 * [taylor]: Taking taylor expansion of 3/8 in y 13.025 * [backup-simplify]: Simplify 3/8 into 3/8 13.025 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.025 * [taylor]: Taking taylor expansion of y in y 13.025 * [backup-simplify]: Simplify 0 into 0 13.025 * [backup-simplify]: Simplify 1 into 1 13.026 * [backup-simplify]: Simplify (* 1 1) into 1 13.026 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 13.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 13.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.028 * [backup-simplify]: Simplify 0 into 0 13.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.029 * [backup-simplify]: Simplify 0 into 0 13.029 * [backup-simplify]: Simplify 0 into 0 13.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 13.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.030 * [backup-simplify]: Simplify (+ 0 0) into 0 13.031 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 13.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 13.032 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 13.032 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 13.032 * [taylor]: Taking taylor expansion of -5/16 in y 13.032 * [backup-simplify]: Simplify -5/16 into -5/16 13.032 * [taylor]: Taking taylor expansion of (pow y 3) in y 13.032 * [taylor]: Taking taylor expansion of y in y 13.032 * [backup-simplify]: Simplify 0 into 0 13.032 * [backup-simplify]: Simplify 1 into 1 13.032 * [backup-simplify]: Simplify (* 1 1) into 1 13.033 * [backup-simplify]: Simplify (* 1 1) into 1 13.033 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 13.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 13.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.037 * [backup-simplify]: Simplify 0 into 0 13.037 * [backup-simplify]: Simplify 1 into 1 13.038 * [backup-simplify]: Simplify (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 13.038 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 13.038 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 13.038 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 13.038 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 13.038 * [taylor]: Taking taylor expansion of x in y 13.038 * [backup-simplify]: Simplify x into x 13.038 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 13.038 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.038 * [taylor]: Taking taylor expansion of y in y 13.038 * [backup-simplify]: Simplify 0 into 0 13.038 * [backup-simplify]: Simplify 1 into 1 13.038 * [backup-simplify]: Simplify (/ 1 1) into 1 13.038 * [taylor]: Taking taylor expansion of (/ 1 x) in y 13.038 * [taylor]: Taking taylor expansion of x in y 13.038 * [backup-simplify]: Simplify x into x 13.038 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.038 * [backup-simplify]: Simplify (+ 1 0) into 1 13.038 * [backup-simplify]: Simplify (* x 1) into x 13.039 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.039 * [backup-simplify]: Simplify (sqrt 0) into 0 13.039 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 13.039 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 13.039 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 13.039 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 13.039 * [taylor]: Taking taylor expansion of x in x 13.039 * [backup-simplify]: Simplify 0 into 0 13.039 * [backup-simplify]: Simplify 1 into 1 13.039 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.039 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.039 * [taylor]: Taking taylor expansion of y in x 13.039 * [backup-simplify]: Simplify y into y 13.039 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.039 * [taylor]: Taking taylor expansion of x in x 13.039 * [backup-simplify]: Simplify 0 into 0 13.039 * [backup-simplify]: Simplify 1 into 1 13.040 * [backup-simplify]: Simplify (/ 1 1) into 1 13.040 * [backup-simplify]: Simplify (+ 0 1) into 1 13.040 * [backup-simplify]: Simplify (* 0 1) into 0 13.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.041 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.041 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 13.041 * [backup-simplify]: Simplify (/ 1 1) into 1 13.041 * [backup-simplify]: Simplify (sqrt 1) into 1 13.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 13.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.042 * [backup-simplify]: Simplify (+ 0 0) into 0 13.043 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 13.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 13.044 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 13.044 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 13.044 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 13.044 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 13.044 * [taylor]: Taking taylor expansion of x in x 13.044 * [backup-simplify]: Simplify 0 into 0 13.044 * [backup-simplify]: Simplify 1 into 1 13.044 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.044 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.044 * [taylor]: Taking taylor expansion of y in x 13.044 * [backup-simplify]: Simplify y into y 13.044 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.044 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.044 * [taylor]: Taking taylor expansion of x in x 13.044 * [backup-simplify]: Simplify 0 into 0 13.044 * [backup-simplify]: Simplify 1 into 1 13.044 * [backup-simplify]: Simplify (/ 1 1) into 1 13.045 * [backup-simplify]: Simplify (+ 0 1) into 1 13.045 * [backup-simplify]: Simplify (* 0 1) into 0 13.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.046 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.047 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 13.047 * [backup-simplify]: Simplify (/ 1 1) into 1 13.048 * [backup-simplify]: Simplify (sqrt 1) into 1 13.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 13.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.049 * [backup-simplify]: Simplify (+ 0 0) into 0 13.050 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 13.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 13.051 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 13.051 * [taylor]: Taking taylor expansion of 1 in y 13.051 * [backup-simplify]: Simplify 1 into 1 13.051 * [backup-simplify]: Simplify 1 into 1 13.051 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 13.051 * [taylor]: Taking taylor expansion of -1/2 in y 13.051 * [backup-simplify]: Simplify -1/2 into -1/2 13.051 * [taylor]: Taking taylor expansion of y in y 13.051 * [backup-simplify]: Simplify 0 into 0 13.051 * [backup-simplify]: Simplify 1 into 1 13.051 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 13.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 13.052 * [backup-simplify]: Simplify 0 into 0 13.052 * [backup-simplify]: Simplify 0 into 0 13.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 13.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.054 * [backup-simplify]: Simplify (+ 0 0) into 0 13.055 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 13.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 13.057 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 13.057 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 13.057 * [taylor]: Taking taylor expansion of 3/8 in y 13.057 * [backup-simplify]: Simplify 3/8 into 3/8 13.057 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.057 * [taylor]: Taking taylor expansion of y in y 13.057 * [backup-simplify]: Simplify 0 into 0 13.057 * [backup-simplify]: Simplify 1 into 1 13.058 * [backup-simplify]: Simplify (* 1 1) into 1 13.058 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 13.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 13.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.062 * [backup-simplify]: Simplify 0 into 0 13.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.063 * [backup-simplify]: Simplify 0 into 0 13.063 * [backup-simplify]: Simplify 0 into 0 13.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 13.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.064 * [backup-simplify]: Simplify (+ 0 0) into 0 13.066 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 13.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 13.069 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 13.069 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 13.069 * [taylor]: Taking taylor expansion of -5/16 in y 13.069 * [backup-simplify]: Simplify -5/16 into -5/16 13.069 * [taylor]: Taking taylor expansion of (pow y 3) in y 13.069 * [taylor]: Taking taylor expansion of y in y 13.069 * [backup-simplify]: Simplify 0 into 0 13.069 * [backup-simplify]: Simplify 1 into 1 13.069 * [backup-simplify]: Simplify (* 1 1) into 1 13.070 * [backup-simplify]: Simplify (* 1 1) into 1 13.071 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 13.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 13.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.079 * [backup-simplify]: Simplify 0 into 0 13.079 * [backup-simplify]: Simplify 1 into 1 13.079 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 13.080 * [backup-simplify]: Simplify (sqrt (/ x (+ y x))) into (sqrt (/ x (+ x y))) 13.080 * [approximate]: Taking taylor expansion of (sqrt (/ x (+ x y))) in (x y) around 0 13.080 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in y 13.080 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 13.080 * [taylor]: Taking taylor expansion of x in y 13.080 * [backup-simplify]: Simplify x into x 13.080 * [taylor]: Taking taylor expansion of (+ x y) in y 13.080 * [taylor]: Taking taylor expansion of x in y 13.080 * [backup-simplify]: Simplify x into x 13.080 * [taylor]: Taking taylor expansion of y in y 13.080 * [backup-simplify]: Simplify 0 into 0 13.080 * [backup-simplify]: Simplify 1 into 1 13.080 * [backup-simplify]: Simplify (+ x 0) into x 13.080 * [backup-simplify]: Simplify (/ x x) into 1 13.080 * [backup-simplify]: Simplify (sqrt 1) into 1 13.081 * [backup-simplify]: Simplify (+ 0 1) into 1 13.081 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 1 x)))) into (- (/ 1 x)) 13.082 * [backup-simplify]: Simplify (/ (- (/ 1 x)) (* 2 (sqrt 1))) into (/ -1/2 x) 13.082 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 13.082 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 13.082 * [taylor]: Taking taylor expansion of x in x 13.082 * [backup-simplify]: Simplify 0 into 0 13.082 * [backup-simplify]: Simplify 1 into 1 13.082 * [taylor]: Taking taylor expansion of (+ x y) in x 13.082 * [taylor]: Taking taylor expansion of x in x 13.082 * [backup-simplify]: Simplify 0 into 0 13.082 * [backup-simplify]: Simplify 1 into 1 13.082 * [taylor]: Taking taylor expansion of y in x 13.082 * [backup-simplify]: Simplify y into y 13.082 * [backup-simplify]: Simplify (+ 0 y) into y 13.082 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.083 * [backup-simplify]: Simplify (sqrt 0) into 0 13.083 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 13.083 * [taylor]: Taking taylor expansion of (sqrt (/ x (+ x y))) in x 13.083 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 13.083 * [taylor]: Taking taylor expansion of x in x 13.083 * [backup-simplify]: Simplify 0 into 0 13.083 * [backup-simplify]: Simplify 1 into 1 13.083 * [taylor]: Taking taylor expansion of (+ x y) in x 13.083 * [taylor]: Taking taylor expansion of x in x 13.083 * [backup-simplify]: Simplify 0 into 0 13.083 * [backup-simplify]: Simplify 1 into 1 13.083 * [taylor]: Taking taylor expansion of y in x 13.084 * [backup-simplify]: Simplify y into y 13.084 * [backup-simplify]: Simplify (+ 0 y) into y 13.084 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.084 * [backup-simplify]: Simplify (sqrt 0) into 0 13.085 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 0))) into (/ +nan.0 y) 13.085 * [taylor]: Taking taylor expansion of 0 in y 13.085 * [backup-simplify]: Simplify 0 into 0 13.085 * [backup-simplify]: Simplify 0 into 0 13.085 * [taylor]: Taking taylor expansion of (/ +nan.0 y) in y 13.085 * [taylor]: Taking taylor expansion of +nan.0 in y 13.085 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.085 * [taylor]: Taking taylor expansion of y in y 13.085 * [backup-simplify]: Simplify 0 into 0 13.085 * [backup-simplify]: Simplify 1 into 1 13.085 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 13.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 13.086 * [backup-simplify]: Simplify 0 into 0 13.086 * [backup-simplify]: Simplify 0 into 0 13.087 * [backup-simplify]: Simplify (+ 1 0) into 1 13.087 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 13.088 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 2))) (pow (/ +nan.0 y) 2) (+)) (* 2 0)) into (/ +nan.0 (pow y 2)) 13.088 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow y 2)) in y 13.088 * [taylor]: Taking taylor expansion of +nan.0 in y 13.088 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.088 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.088 * [taylor]: Taking taylor expansion of y in y 13.088 * [backup-simplify]: Simplify 0 into 0 13.088 * [backup-simplify]: Simplify 1 into 1 13.089 * [backup-simplify]: Simplify (* 1 1) into 1 13.089 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 13.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 13.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.093 * [backup-simplify]: Simplify 0 into 0 13.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.094 * [backup-simplify]: Simplify 0 into 0 13.094 * [backup-simplify]: Simplify 0 into 0 13.094 * [backup-simplify]: Simplify 0 into 0 13.094 * [backup-simplify]: Simplify (sqrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 13.094 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 13.094 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 13.094 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 13.094 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 13.094 * [taylor]: Taking taylor expansion of x in y 13.094 * [backup-simplify]: Simplify x into x 13.094 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 13.094 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.094 * [taylor]: Taking taylor expansion of y in y 13.094 * [backup-simplify]: Simplify 0 into 0 13.094 * [backup-simplify]: Simplify 1 into 1 13.095 * [backup-simplify]: Simplify (/ 1 1) into 1 13.095 * [taylor]: Taking taylor expansion of (/ 1 x) in y 13.095 * [taylor]: Taking taylor expansion of x in y 13.095 * [backup-simplify]: Simplify x into x 13.095 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.095 * [backup-simplify]: Simplify (+ 1 0) into 1 13.096 * [backup-simplify]: Simplify (* x 1) into x 13.096 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.096 * [backup-simplify]: Simplify (sqrt 0) into 0 13.097 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 13.097 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 13.097 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 13.097 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 13.097 * [taylor]: Taking taylor expansion of x in x 13.097 * [backup-simplify]: Simplify 0 into 0 13.097 * [backup-simplify]: Simplify 1 into 1 13.097 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.097 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.097 * [taylor]: Taking taylor expansion of y in x 13.097 * [backup-simplify]: Simplify y into y 13.097 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.097 * [taylor]: Taking taylor expansion of x in x 13.097 * [backup-simplify]: Simplify 0 into 0 13.097 * [backup-simplify]: Simplify 1 into 1 13.097 * [backup-simplify]: Simplify (/ 1 1) into 1 13.098 * [backup-simplify]: Simplify (+ 0 1) into 1 13.098 * [backup-simplify]: Simplify (* 0 1) into 0 13.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.099 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.100 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 13.100 * [backup-simplify]: Simplify (/ 1 1) into 1 13.100 * [backup-simplify]: Simplify (sqrt 1) into 1 13.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 13.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.102 * [backup-simplify]: Simplify (+ 0 0) into 0 13.103 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 13.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 13.104 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 13.104 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 13.104 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 13.104 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 13.104 * [taylor]: Taking taylor expansion of x in x 13.104 * [backup-simplify]: Simplify 0 into 0 13.104 * [backup-simplify]: Simplify 1 into 1 13.104 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.104 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.104 * [taylor]: Taking taylor expansion of y in x 13.104 * [backup-simplify]: Simplify y into y 13.104 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.104 * [taylor]: Taking taylor expansion of x in x 13.104 * [backup-simplify]: Simplify 0 into 0 13.104 * [backup-simplify]: Simplify 1 into 1 13.104 * [backup-simplify]: Simplify (/ 1 1) into 1 13.105 * [backup-simplify]: Simplify (+ 0 1) into 1 13.105 * [backup-simplify]: Simplify (* 0 1) into 0 13.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.106 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.107 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 13.107 * [backup-simplify]: Simplify (/ 1 1) into 1 13.107 * [backup-simplify]: Simplify (sqrt 1) into 1 13.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 13.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.109 * [backup-simplify]: Simplify (+ 0 0) into 0 13.110 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 13.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 13.110 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 13.111 * [taylor]: Taking taylor expansion of 1 in y 13.111 * [backup-simplify]: Simplify 1 into 1 13.111 * [backup-simplify]: Simplify 1 into 1 13.111 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 13.111 * [taylor]: Taking taylor expansion of -1/2 in y 13.111 * [backup-simplify]: Simplify -1/2 into -1/2 13.111 * [taylor]: Taking taylor expansion of y in y 13.111 * [backup-simplify]: Simplify 0 into 0 13.111 * [backup-simplify]: Simplify 1 into 1 13.111 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 13.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 13.112 * [backup-simplify]: Simplify 0 into 0 13.112 * [backup-simplify]: Simplify 0 into 0 13.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 13.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.114 * [backup-simplify]: Simplify (+ 0 0) into 0 13.115 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 13.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 13.117 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 13.117 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 13.117 * [taylor]: Taking taylor expansion of 3/8 in y 13.117 * [backup-simplify]: Simplify 3/8 into 3/8 13.117 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.117 * [taylor]: Taking taylor expansion of y in y 13.117 * [backup-simplify]: Simplify 0 into 0 13.117 * [backup-simplify]: Simplify 1 into 1 13.117 * [backup-simplify]: Simplify (* 1 1) into 1 13.118 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 13.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 13.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.121 * [backup-simplify]: Simplify 0 into 0 13.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.122 * [backup-simplify]: Simplify 0 into 0 13.122 * [backup-simplify]: Simplify 0 into 0 13.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 13.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.124 * [backup-simplify]: Simplify (+ 0 0) into 0 13.126 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 13.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 13.133 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 13.133 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 13.133 * [taylor]: Taking taylor expansion of -5/16 in y 13.133 * [backup-simplify]: Simplify -5/16 into -5/16 13.133 * [taylor]: Taking taylor expansion of (pow y 3) in y 13.133 * [taylor]: Taking taylor expansion of y in y 13.133 * [backup-simplify]: Simplify 0 into 0 13.133 * [backup-simplify]: Simplify 1 into 1 13.133 * [backup-simplify]: Simplify (* 1 1) into 1 13.134 * [backup-simplify]: Simplify (* 1 1) into 1 13.134 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 13.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 13.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.143 * [backup-simplify]: Simplify 0 into 0 13.143 * [backup-simplify]: Simplify 1 into 1 13.143 * [backup-simplify]: Simplify (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))) into (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) 13.143 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 13.143 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in y 13.143 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 13.143 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 13.143 * [taylor]: Taking taylor expansion of x in y 13.143 * [backup-simplify]: Simplify x into x 13.143 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 13.143 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.143 * [taylor]: Taking taylor expansion of y in y 13.144 * [backup-simplify]: Simplify 0 into 0 13.144 * [backup-simplify]: Simplify 1 into 1 13.144 * [backup-simplify]: Simplify (/ 1 1) into 1 13.144 * [taylor]: Taking taylor expansion of (/ 1 x) in y 13.144 * [taylor]: Taking taylor expansion of x in y 13.144 * [backup-simplify]: Simplify x into x 13.144 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.145 * [backup-simplify]: Simplify (+ 1 0) into 1 13.145 * [backup-simplify]: Simplify (* x 1) into x 13.145 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.145 * [backup-simplify]: Simplify (sqrt 0) into 0 13.146 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 13.146 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 13.146 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 13.146 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 13.146 * [taylor]: Taking taylor expansion of x in x 13.146 * [backup-simplify]: Simplify 0 into 0 13.146 * [backup-simplify]: Simplify 1 into 1 13.146 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.146 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.146 * [taylor]: Taking taylor expansion of y in x 13.146 * [backup-simplify]: Simplify y into y 13.146 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.146 * [taylor]: Taking taylor expansion of x in x 13.146 * [backup-simplify]: Simplify 0 into 0 13.146 * [backup-simplify]: Simplify 1 into 1 13.147 * [backup-simplify]: Simplify (/ 1 1) into 1 13.147 * [backup-simplify]: Simplify (+ 0 1) into 1 13.147 * [backup-simplify]: Simplify (* 0 1) into 0 13.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.148 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.149 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 13.149 * [backup-simplify]: Simplify (/ 1 1) into 1 13.150 * [backup-simplify]: Simplify (sqrt 1) into 1 13.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 13.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.151 * [backup-simplify]: Simplify (+ 0 0) into 0 13.152 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 13.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 13.153 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 13.153 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* x (+ (/ 1 y) (/ 1 x))))) in x 13.153 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 13.153 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 13.153 * [taylor]: Taking taylor expansion of x in x 13.153 * [backup-simplify]: Simplify 0 into 0 13.153 * [backup-simplify]: Simplify 1 into 1 13.153 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.153 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.153 * [taylor]: Taking taylor expansion of y in x 13.153 * [backup-simplify]: Simplify y into y 13.153 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.153 * [taylor]: Taking taylor expansion of x in x 13.153 * [backup-simplify]: Simplify 0 into 0 13.153 * [backup-simplify]: Simplify 1 into 1 13.154 * [backup-simplify]: Simplify (/ 1 1) into 1 13.154 * [backup-simplify]: Simplify (+ 0 1) into 1 13.155 * [backup-simplify]: Simplify (* 0 1) into 0 13.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.155 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.156 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 13.156 * [backup-simplify]: Simplify (/ 1 1) into 1 13.157 * [backup-simplify]: Simplify (sqrt 1) into 1 13.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 13.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.158 * [backup-simplify]: Simplify (+ 0 0) into 0 13.159 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 13.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 13.160 * [backup-simplify]: Simplify (/ (- (/ 1 y)) (* 2 (sqrt 1))) into (/ -1/2 y) 13.160 * [taylor]: Taking taylor expansion of 1 in y 13.160 * [backup-simplify]: Simplify 1 into 1 13.160 * [backup-simplify]: Simplify 1 into 1 13.160 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 13.160 * [taylor]: Taking taylor expansion of -1/2 in y 13.160 * [backup-simplify]: Simplify -1/2 into -1/2 13.160 * [taylor]: Taking taylor expansion of y in y 13.160 * [backup-simplify]: Simplify 0 into 0 13.160 * [backup-simplify]: Simplify 1 into 1 13.161 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 13.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 13.161 * [backup-simplify]: Simplify 0 into 0 13.161 * [backup-simplify]: Simplify 0 into 0 13.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 13.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.163 * [backup-simplify]: Simplify (+ 0 0) into 0 13.164 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 13.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 13.166 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ -1/2 y) 2) (+)) (* 2 1)) into (/ 3/8 (pow y 2)) 13.166 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 13.166 * [taylor]: Taking taylor expansion of 3/8 in y 13.166 * [backup-simplify]: Simplify 3/8 into 3/8 13.166 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.166 * [taylor]: Taking taylor expansion of y in y 13.166 * [backup-simplify]: Simplify 0 into 0 13.166 * [backup-simplify]: Simplify 1 into 1 13.167 * [backup-simplify]: Simplify (* 1 1) into 1 13.167 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 13.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)))) into 0 13.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.171 * [backup-simplify]: Simplify 0 into 0 13.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.172 * [backup-simplify]: Simplify 0 into 0 13.172 * [backup-simplify]: Simplify 0 into 0 13.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 13.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.173 * [backup-simplify]: Simplify (+ 0 0) into 0 13.174 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 13.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* (/ 1 (pow y 2)) (/ (/ 1 y) 1)))) into (- (/ 1 (pow y 3))) 13.177 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 3))) (+ (* 2 (* (/ -1/2 y) (/ 3/8 (pow y 2)))))) (* 2 1)) into (/ -5/16 (pow y 3)) 13.177 * [taylor]: Taking taylor expansion of (/ -5/16 (pow y 3)) in y 13.177 * [taylor]: Taking taylor expansion of -5/16 in y 13.177 * [backup-simplify]: Simplify -5/16 into -5/16 13.177 * [taylor]: Taking taylor expansion of (pow y 3) in y 13.177 * [taylor]: Taking taylor expansion of y in y 13.177 * [backup-simplify]: Simplify 0 into 0 13.177 * [backup-simplify]: Simplify 1 into 1 13.178 * [backup-simplify]: Simplify (* 1 1) into 1 13.178 * [backup-simplify]: Simplify (* 1 1) into 1 13.178 * [backup-simplify]: Simplify (/ -5/16 1) into -5/16 13.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)))) into 0 13.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -5/16 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.185 * [backup-simplify]: Simplify 0 into 0 13.185 * [backup-simplify]: Simplify 1 into 1 13.185 * * * * [progress]: [ 3 / 4 ] generating series at (2) 13.185 * [backup-simplify]: Simplify (* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x)))) into (/ x (+ x y)) 13.185 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 13.185 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 13.185 * [taylor]: Taking taylor expansion of x in y 13.185 * [backup-simplify]: Simplify x into x 13.185 * [taylor]: Taking taylor expansion of (+ x y) in y 13.185 * [taylor]: Taking taylor expansion of x in y 13.185 * [backup-simplify]: Simplify x into x 13.185 * [taylor]: Taking taylor expansion of y in y 13.185 * [backup-simplify]: Simplify 0 into 0 13.185 * [backup-simplify]: Simplify 1 into 1 13.185 * [backup-simplify]: Simplify (+ x 0) into x 13.185 * [backup-simplify]: Simplify (/ x x) into 1 13.185 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 13.185 * [taylor]: Taking taylor expansion of x in x 13.185 * [backup-simplify]: Simplify 0 into 0 13.185 * [backup-simplify]: Simplify 1 into 1 13.185 * [taylor]: Taking taylor expansion of (+ x y) in x 13.185 * [taylor]: Taking taylor expansion of x in x 13.185 * [backup-simplify]: Simplify 0 into 0 13.185 * [backup-simplify]: Simplify 1 into 1 13.185 * [taylor]: Taking taylor expansion of y in x 13.185 * [backup-simplify]: Simplify y into y 13.186 * [backup-simplify]: Simplify (+ 0 y) into y 13.186 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.186 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 13.186 * [taylor]: Taking taylor expansion of x in x 13.186 * [backup-simplify]: Simplify 0 into 0 13.186 * [backup-simplify]: Simplify 1 into 1 13.186 * [taylor]: Taking taylor expansion of (+ x y) in x 13.186 * [taylor]: Taking taylor expansion of x in x 13.186 * [backup-simplify]: Simplify 0 into 0 13.186 * [backup-simplify]: Simplify 1 into 1 13.186 * [taylor]: Taking taylor expansion of y in x 13.186 * [backup-simplify]: Simplify y into y 13.186 * [backup-simplify]: Simplify (+ 0 y) into y 13.186 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.186 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.186 * [taylor]: Taking taylor expansion of y in y 13.186 * [backup-simplify]: Simplify 0 into 0 13.186 * [backup-simplify]: Simplify 1 into 1 13.186 * [backup-simplify]: Simplify (/ 1 1) into 1 13.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.187 * [backup-simplify]: Simplify 0 into 0 13.187 * [backup-simplify]: Simplify (+ 1 0) into 1 13.187 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 13.187 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 13.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.187 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.187 * [taylor]: Taking taylor expansion of y in y 13.187 * [backup-simplify]: Simplify 0 into 0 13.187 * [backup-simplify]: Simplify 1 into 1 13.187 * [backup-simplify]: Simplify (* 1 1) into 1 13.188 * [backup-simplify]: Simplify (/ 1 1) into 1 13.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.190 * [backup-simplify]: Simplify (- 0) into 0 13.190 * [backup-simplify]: Simplify 0 into 0 13.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.191 * [backup-simplify]: Simplify 0 into 0 13.191 * [backup-simplify]: Simplify (+ 0 0) into 0 13.191 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 13.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 13.191 * [taylor]: Taking taylor expansion of (pow y 3) in y 13.191 * [taylor]: Taking taylor expansion of y in y 13.191 * [backup-simplify]: Simplify 0 into 0 13.191 * [backup-simplify]: Simplify 1 into 1 13.192 * [backup-simplify]: Simplify (* 1 1) into 1 13.192 * [backup-simplify]: Simplify (* 1 1) into 1 13.192 * [backup-simplify]: Simplify (/ 1 1) into 1 13.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.196 * [backup-simplify]: Simplify 0 into 0 13.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.198 * [backup-simplify]: Simplify (- 0) into 0 13.198 * [backup-simplify]: Simplify 0 into 0 13.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.198 * [backup-simplify]: Simplify 0 into 0 13.198 * [backup-simplify]: Simplify 0 into 0 13.199 * [backup-simplify]: Simplify (* (sqrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x)))) (sqrt (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 13.199 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 13.199 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 13.199 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 13.199 * [taylor]: Taking taylor expansion of x in y 13.199 * [backup-simplify]: Simplify x into x 13.199 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 13.199 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.199 * [taylor]: Taking taylor expansion of y in y 13.199 * [backup-simplify]: Simplify 0 into 0 13.199 * [backup-simplify]: Simplify 1 into 1 13.199 * [backup-simplify]: Simplify (/ 1 1) into 1 13.199 * [taylor]: Taking taylor expansion of (/ 1 x) in y 13.199 * [taylor]: Taking taylor expansion of x in y 13.199 * [backup-simplify]: Simplify x into x 13.199 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.199 * [backup-simplify]: Simplify (+ 1 0) into 1 13.199 * [backup-simplify]: Simplify (* x 1) into x 13.199 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.200 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 13.200 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 13.200 * [taylor]: Taking taylor expansion of x in x 13.200 * [backup-simplify]: Simplify 0 into 0 13.200 * [backup-simplify]: Simplify 1 into 1 13.200 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.200 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.200 * [taylor]: Taking taylor expansion of y in x 13.200 * [backup-simplify]: Simplify y into y 13.200 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.200 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.200 * [taylor]: Taking taylor expansion of x in x 13.200 * [backup-simplify]: Simplify 0 into 0 13.200 * [backup-simplify]: Simplify 1 into 1 13.200 * [backup-simplify]: Simplify (/ 1 1) into 1 13.200 * [backup-simplify]: Simplify (+ 0 1) into 1 13.200 * [backup-simplify]: Simplify (* 0 1) into 0 13.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.201 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.201 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 13.201 * [backup-simplify]: Simplify (/ 1 1) into 1 13.202 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 13.202 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 13.202 * [taylor]: Taking taylor expansion of x in x 13.202 * [backup-simplify]: Simplify 0 into 0 13.202 * [backup-simplify]: Simplify 1 into 1 13.202 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.202 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.202 * [taylor]: Taking taylor expansion of y in x 13.202 * [backup-simplify]: Simplify y into y 13.202 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.202 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.202 * [taylor]: Taking taylor expansion of x in x 13.202 * [backup-simplify]: Simplify 0 into 0 13.202 * [backup-simplify]: Simplify 1 into 1 13.202 * [backup-simplify]: Simplify (/ 1 1) into 1 13.202 * [backup-simplify]: Simplify (+ 0 1) into 1 13.202 * [backup-simplify]: Simplify (* 0 1) into 0 13.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.203 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.203 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 13.204 * [backup-simplify]: Simplify (/ 1 1) into 1 13.204 * [taylor]: Taking taylor expansion of 1 in y 13.204 * [backup-simplify]: Simplify 1 into 1 13.204 * [backup-simplify]: Simplify 0 into 0 13.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 13.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.204 * [backup-simplify]: Simplify (+ 0 0) into 0 13.205 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 13.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 13.205 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 13.205 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.205 * [taylor]: Taking taylor expansion of y in y 13.205 * [backup-simplify]: Simplify 0 into 0 13.205 * [backup-simplify]: Simplify 1 into 1 13.205 * [backup-simplify]: Simplify (/ 1 1) into 1 13.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.207 * [backup-simplify]: Simplify (- 0) into 0 13.207 * [backup-simplify]: Simplify 0 into 0 13.207 * [backup-simplify]: Simplify 0 into 0 13.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 13.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.208 * [backup-simplify]: Simplify (+ 0 0) into 0 13.208 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 13.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 13.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.209 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.209 * [taylor]: Taking taylor expansion of y in y 13.209 * [backup-simplify]: Simplify 0 into 0 13.209 * [backup-simplify]: Simplify 1 into 1 13.209 * [backup-simplify]: Simplify (* 1 1) into 1 13.209 * [backup-simplify]: Simplify (/ 1 1) into 1 13.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.212 * [backup-simplify]: Simplify 0 into 0 13.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.213 * [backup-simplify]: Simplify (- 0) into 0 13.213 * [backup-simplify]: Simplify 0 into 0 13.213 * [backup-simplify]: Simplify 0 into 0 13.213 * [backup-simplify]: Simplify 0 into 0 13.214 * [backup-simplify]: Simplify (* (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x))))) (sqrt (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 13.214 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 13.214 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 13.214 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 13.214 * [taylor]: Taking taylor expansion of x in y 13.214 * [backup-simplify]: Simplify x into x 13.214 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 13.214 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.214 * [taylor]: Taking taylor expansion of y in y 13.214 * [backup-simplify]: Simplify 0 into 0 13.214 * [backup-simplify]: Simplify 1 into 1 13.214 * [backup-simplify]: Simplify (/ 1 1) into 1 13.214 * [taylor]: Taking taylor expansion of (/ 1 x) in y 13.214 * [taylor]: Taking taylor expansion of x in y 13.214 * [backup-simplify]: Simplify x into x 13.214 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.215 * [backup-simplify]: Simplify (+ 1 0) into 1 13.215 * [backup-simplify]: Simplify (* x 1) into x 13.215 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.215 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 13.215 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 13.215 * [taylor]: Taking taylor expansion of x in x 13.215 * [backup-simplify]: Simplify 0 into 0 13.215 * [backup-simplify]: Simplify 1 into 1 13.215 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.215 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.215 * [taylor]: Taking taylor expansion of y in x 13.215 * [backup-simplify]: Simplify y into y 13.215 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.215 * [taylor]: Taking taylor expansion of x in x 13.215 * [backup-simplify]: Simplify 0 into 0 13.215 * [backup-simplify]: Simplify 1 into 1 13.215 * [backup-simplify]: Simplify (/ 1 1) into 1 13.215 * [backup-simplify]: Simplify (+ 0 1) into 1 13.216 * [backup-simplify]: Simplify (* 0 1) into 0 13.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.216 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.216 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 13.217 * [backup-simplify]: Simplify (/ 1 1) into 1 13.217 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 13.217 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 13.217 * [taylor]: Taking taylor expansion of x in x 13.217 * [backup-simplify]: Simplify 0 into 0 13.217 * [backup-simplify]: Simplify 1 into 1 13.217 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.217 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.217 * [taylor]: Taking taylor expansion of y in x 13.217 * [backup-simplify]: Simplify y into y 13.217 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.217 * [taylor]: Taking taylor expansion of x in x 13.217 * [backup-simplify]: Simplify 0 into 0 13.217 * [backup-simplify]: Simplify 1 into 1 13.217 * [backup-simplify]: Simplify (/ 1 1) into 1 13.217 * [backup-simplify]: Simplify (+ 0 1) into 1 13.218 * [backup-simplify]: Simplify (* 0 1) into 0 13.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.218 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.218 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 13.219 * [backup-simplify]: Simplify (/ 1 1) into 1 13.219 * [taylor]: Taking taylor expansion of 1 in y 13.219 * [backup-simplify]: Simplify 1 into 1 13.219 * [backup-simplify]: Simplify 0 into 0 13.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 13.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.220 * [backup-simplify]: Simplify (+ 0 0) into 0 13.220 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 13.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 13.220 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 13.220 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.220 * [taylor]: Taking taylor expansion of y in y 13.220 * [backup-simplify]: Simplify 0 into 0 13.220 * [backup-simplify]: Simplify 1 into 1 13.221 * [backup-simplify]: Simplify (/ 1 1) into 1 13.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.222 * [backup-simplify]: Simplify (- 0) into 0 13.222 * [backup-simplify]: Simplify 0 into 0 13.222 * [backup-simplify]: Simplify 0 into 0 13.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 13.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.223 * [backup-simplify]: Simplify (+ 0 0) into 0 13.224 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 13.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 13.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.224 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.224 * [taylor]: Taking taylor expansion of y in y 13.224 * [backup-simplify]: Simplify 0 into 0 13.224 * [backup-simplify]: Simplify 1 into 1 13.224 * [backup-simplify]: Simplify (* 1 1) into 1 13.225 * [backup-simplify]: Simplify (/ 1 1) into 1 13.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.228 * [backup-simplify]: Simplify 0 into 0 13.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.228 * [backup-simplify]: Simplify (- 0) into 0 13.228 * [backup-simplify]: Simplify 0 into 0 13.229 * [backup-simplify]: Simplify 0 into 0 13.229 * [backup-simplify]: Simplify 0 into 0 13.229 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 13.229 * [backup-simplify]: Simplify (/ x (+ y x)) into (/ x (+ x y)) 13.229 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 13.229 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 13.229 * [taylor]: Taking taylor expansion of x in y 13.229 * [backup-simplify]: Simplify x into x 13.229 * [taylor]: Taking taylor expansion of (+ x y) in y 13.229 * [taylor]: Taking taylor expansion of x in y 13.229 * [backup-simplify]: Simplify x into x 13.229 * [taylor]: Taking taylor expansion of y in y 13.229 * [backup-simplify]: Simplify 0 into 0 13.229 * [backup-simplify]: Simplify 1 into 1 13.229 * [backup-simplify]: Simplify (+ x 0) into x 13.229 * [backup-simplify]: Simplify (/ x x) into 1 13.229 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 13.229 * [taylor]: Taking taylor expansion of x in x 13.229 * [backup-simplify]: Simplify 0 into 0 13.229 * [backup-simplify]: Simplify 1 into 1 13.229 * [taylor]: Taking taylor expansion of (+ x y) in x 13.229 * [taylor]: Taking taylor expansion of x in x 13.229 * [backup-simplify]: Simplify 0 into 0 13.229 * [backup-simplify]: Simplify 1 into 1 13.229 * [taylor]: Taking taylor expansion of y in x 13.229 * [backup-simplify]: Simplify y into y 13.229 * [backup-simplify]: Simplify (+ 0 y) into y 13.229 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.229 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 13.229 * [taylor]: Taking taylor expansion of x in x 13.229 * [backup-simplify]: Simplify 0 into 0 13.229 * [backup-simplify]: Simplify 1 into 1 13.229 * [taylor]: Taking taylor expansion of (+ x y) in x 13.229 * [taylor]: Taking taylor expansion of x in x 13.229 * [backup-simplify]: Simplify 0 into 0 13.229 * [backup-simplify]: Simplify 1 into 1 13.229 * [taylor]: Taking taylor expansion of y in x 13.229 * [backup-simplify]: Simplify y into y 13.229 * [backup-simplify]: Simplify (+ 0 y) into y 13.229 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.229 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.229 * [taylor]: Taking taylor expansion of y in y 13.229 * [backup-simplify]: Simplify 0 into 0 13.229 * [backup-simplify]: Simplify 1 into 1 13.230 * [backup-simplify]: Simplify (/ 1 1) into 1 13.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.230 * [backup-simplify]: Simplify 0 into 0 13.230 * [backup-simplify]: Simplify (+ 1 0) into 1 13.231 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 13.231 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 13.231 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.231 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.231 * [taylor]: Taking taylor expansion of y in y 13.231 * [backup-simplify]: Simplify 0 into 0 13.231 * [backup-simplify]: Simplify 1 into 1 13.231 * [backup-simplify]: Simplify (* 1 1) into 1 13.231 * [backup-simplify]: Simplify (/ 1 1) into 1 13.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.233 * [backup-simplify]: Simplify (- 0) into 0 13.233 * [backup-simplify]: Simplify 0 into 0 13.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.234 * [backup-simplify]: Simplify 0 into 0 13.234 * [backup-simplify]: Simplify (+ 0 0) into 0 13.234 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 13.234 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 13.234 * [taylor]: Taking taylor expansion of (pow y 3) in y 13.234 * [taylor]: Taking taylor expansion of y in y 13.234 * [backup-simplify]: Simplify 0 into 0 13.234 * [backup-simplify]: Simplify 1 into 1 13.235 * [backup-simplify]: Simplify (* 1 1) into 1 13.235 * [backup-simplify]: Simplify (* 1 1) into 1 13.235 * [backup-simplify]: Simplify (/ 1 1) into 1 13.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.246 * [backup-simplify]: Simplify 0 into 0 13.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.248 * [backup-simplify]: Simplify (- 0) into 0 13.249 * [backup-simplify]: Simplify 0 into 0 13.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.249 * [backup-simplify]: Simplify 0 into 0 13.249 * [backup-simplify]: Simplify 0 into 0 13.250 * [backup-simplify]: Simplify (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 13.250 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 13.250 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 13.250 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 13.250 * [taylor]: Taking taylor expansion of x in y 13.250 * [backup-simplify]: Simplify x into x 13.250 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 13.250 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.250 * [taylor]: Taking taylor expansion of y in y 13.250 * [backup-simplify]: Simplify 0 into 0 13.250 * [backup-simplify]: Simplify 1 into 1 13.250 * [backup-simplify]: Simplify (/ 1 1) into 1 13.250 * [taylor]: Taking taylor expansion of (/ 1 x) in y 13.250 * [taylor]: Taking taylor expansion of x in y 13.250 * [backup-simplify]: Simplify x into x 13.251 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.251 * [backup-simplify]: Simplify (+ 1 0) into 1 13.251 * [backup-simplify]: Simplify (* x 1) into x 13.251 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.251 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 13.251 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 13.251 * [taylor]: Taking taylor expansion of x in x 13.251 * [backup-simplify]: Simplify 0 into 0 13.251 * [backup-simplify]: Simplify 1 into 1 13.251 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.251 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.251 * [taylor]: Taking taylor expansion of y in x 13.251 * [backup-simplify]: Simplify y into y 13.251 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.251 * [taylor]: Taking taylor expansion of x in x 13.252 * [backup-simplify]: Simplify 0 into 0 13.252 * [backup-simplify]: Simplify 1 into 1 13.252 * [backup-simplify]: Simplify (/ 1 1) into 1 13.252 * [backup-simplify]: Simplify (+ 0 1) into 1 13.253 * [backup-simplify]: Simplify (* 0 1) into 0 13.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.254 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.254 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 13.254 * [backup-simplify]: Simplify (/ 1 1) into 1 13.255 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 13.255 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 13.255 * [taylor]: Taking taylor expansion of x in x 13.255 * [backup-simplify]: Simplify 0 into 0 13.255 * [backup-simplify]: Simplify 1 into 1 13.255 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.255 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.255 * [taylor]: Taking taylor expansion of y in x 13.255 * [backup-simplify]: Simplify y into y 13.255 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.255 * [taylor]: Taking taylor expansion of x in x 13.255 * [backup-simplify]: Simplify 0 into 0 13.255 * [backup-simplify]: Simplify 1 into 1 13.255 * [backup-simplify]: Simplify (/ 1 1) into 1 13.256 * [backup-simplify]: Simplify (+ 0 1) into 1 13.256 * [backup-simplify]: Simplify (* 0 1) into 0 13.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.257 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.258 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 13.258 * [backup-simplify]: Simplify (/ 1 1) into 1 13.258 * [taylor]: Taking taylor expansion of 1 in y 13.258 * [backup-simplify]: Simplify 1 into 1 13.258 * [backup-simplify]: Simplify 0 into 0 13.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 13.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.260 * [backup-simplify]: Simplify (+ 0 0) into 0 13.260 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 13.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 13.261 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 13.261 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.261 * [taylor]: Taking taylor expansion of y in y 13.261 * [backup-simplify]: Simplify 0 into 0 13.261 * [backup-simplify]: Simplify 1 into 1 13.261 * [backup-simplify]: Simplify (/ 1 1) into 1 13.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.263 * [backup-simplify]: Simplify (- 0) into 0 13.263 * [backup-simplify]: Simplify 0 into 0 13.264 * [backup-simplify]: Simplify 0 into 0 13.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 13.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.265 * [backup-simplify]: Simplify (+ 0 0) into 0 13.266 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 13.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 13.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.267 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.267 * [taylor]: Taking taylor expansion of y in y 13.267 * [backup-simplify]: Simplify 0 into 0 13.267 * [backup-simplify]: Simplify 1 into 1 13.268 * [backup-simplify]: Simplify (* 1 1) into 1 13.268 * [backup-simplify]: Simplify (/ 1 1) into 1 13.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.273 * [backup-simplify]: Simplify 0 into 0 13.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.274 * [backup-simplify]: Simplify (- 0) into 0 13.274 * [backup-simplify]: Simplify 0 into 0 13.274 * [backup-simplify]: Simplify 0 into 0 13.274 * [backup-simplify]: Simplify 0 into 0 13.275 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) into (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 13.275 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 13.275 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 13.275 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 13.275 * [taylor]: Taking taylor expansion of x in y 13.275 * [backup-simplify]: Simplify x into x 13.275 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 13.275 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.275 * [taylor]: Taking taylor expansion of y in y 13.275 * [backup-simplify]: Simplify 0 into 0 13.275 * [backup-simplify]: Simplify 1 into 1 13.275 * [backup-simplify]: Simplify (/ 1 1) into 1 13.275 * [taylor]: Taking taylor expansion of (/ 1 x) in y 13.275 * [taylor]: Taking taylor expansion of x in y 13.276 * [backup-simplify]: Simplify x into x 13.276 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.276 * [backup-simplify]: Simplify (+ 1 0) into 1 13.276 * [backup-simplify]: Simplify (* x 1) into x 13.276 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 13.276 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 13.276 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 13.276 * [taylor]: Taking taylor expansion of x in x 13.276 * [backup-simplify]: Simplify 0 into 0 13.276 * [backup-simplify]: Simplify 1 into 1 13.276 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.276 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.276 * [taylor]: Taking taylor expansion of y in x 13.276 * [backup-simplify]: Simplify y into y 13.276 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.277 * [taylor]: Taking taylor expansion of x in x 13.277 * [backup-simplify]: Simplify 0 into 0 13.277 * [backup-simplify]: Simplify 1 into 1 13.277 * [backup-simplify]: Simplify (/ 1 1) into 1 13.277 * [backup-simplify]: Simplify (+ 0 1) into 1 13.278 * [backup-simplify]: Simplify (* 0 1) into 0 13.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.279 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.279 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 13.279 * [backup-simplify]: Simplify (/ 1 1) into 1 13.279 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 13.280 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 13.280 * [taylor]: Taking taylor expansion of x in x 13.280 * [backup-simplify]: Simplify 0 into 0 13.280 * [backup-simplify]: Simplify 1 into 1 13.280 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 13.280 * [taylor]: Taking taylor expansion of (/ 1 y) in x 13.280 * [taylor]: Taking taylor expansion of y in x 13.280 * [backup-simplify]: Simplify y into y 13.280 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 13.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x 13.280 * [taylor]: Taking taylor expansion of x in x 13.280 * [backup-simplify]: Simplify 0 into 0 13.280 * [backup-simplify]: Simplify 1 into 1 13.280 * [backup-simplify]: Simplify (/ 1 1) into 1 13.281 * [backup-simplify]: Simplify (+ 0 1) into 1 13.281 * [backup-simplify]: Simplify (* 0 1) into 0 13.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.282 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 13.282 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 13.283 * [backup-simplify]: Simplify (/ 1 1) into 1 13.283 * [taylor]: Taking taylor expansion of 1 in y 13.283 * [backup-simplify]: Simplify 1 into 1 13.283 * [backup-simplify]: Simplify 0 into 0 13.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 13.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.284 * [backup-simplify]: Simplify (+ 0 0) into 0 13.285 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 13.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 13.286 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 13.286 * [taylor]: Taking taylor expansion of (/ 1 y) in y 13.286 * [taylor]: Taking taylor expansion of y in y 13.286 * [backup-simplify]: Simplify 0 into 0 13.286 * [backup-simplify]: Simplify 1 into 1 13.286 * [backup-simplify]: Simplify (/ 1 1) into 1 13.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.288 * [backup-simplify]: Simplify (- 0) into 0 13.288 * [backup-simplify]: Simplify 0 into 0 13.288 * [backup-simplify]: Simplify 0 into 0 13.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 13.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.290 * [backup-simplify]: Simplify (+ 0 0) into 0 13.291 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 13.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 13.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.292 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.292 * [taylor]: Taking taylor expansion of y in y 13.292 * [backup-simplify]: Simplify 0 into 0 13.292 * [backup-simplify]: Simplify 1 into 1 13.293 * [backup-simplify]: Simplify (* 1 1) into 1 13.293 * [backup-simplify]: Simplify (/ 1 1) into 1 13.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.298 * [backup-simplify]: Simplify 0 into 0 13.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.300 * [backup-simplify]: Simplify (- 0) into 0 13.300 * [backup-simplify]: Simplify 0 into 0 13.300 * [backup-simplify]: Simplify 0 into 0 13.300 * [backup-simplify]: Simplify 0 into 0 13.300 * * * [progress]: simplifying candidates 13.306 * [simplify]: Simplifying: (log (sqrt (/ x (+ y x)))) (exp (sqrt (/ x (+ y x)))) (* (cbrt (sqrt (/ x (+ y x)))) (cbrt (sqrt (/ x (+ y x))))) (cbrt (sqrt (/ x (+ y x)))) (* (* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x)))) (sqrt (/ x (+ y x)))) (sqrt (* (cbrt (/ x (+ y 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(+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (/ 1 1) (/ x (+ y x)) (/ 1 1) (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) (/ x 1) (/ x 1) (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 1 1 0 1 1 0 0 0 0 0 0 13.314 * * [simplify]: Extracting # 0 : cost 0 13.315 * * [simplify]: Extracting # 1 : cost 0 13.315 * * [simplify]: Extracting # 2 : cost 0 13.316 * * [simplify]: Extracting # 3 : cost 0 13.316 * * [simplify]: Extracting # 4 : cost 0 13.317 * * [simplify]: Extracting # 5 : cost 0 13.317 * * [simplify]: Extracting # 6 : cost 0 13.318 * * [simplify]: Extracting # 7 : cost 0 13.318 * * [simplify]: Extracting # 8 : cost 0 13.319 * * [simplify]: iteration 0 : 177 enodes (cost 3139 ) 13.396 * * [simplify]: Extracting # 0 : cost 0 13.396 * * [simplify]: Extracting # 1 : cost 0 13.397 * * [simplify]: Extracting # 2 : cost 0 13.397 * * [simplify]: Extracting # 3 : cost 0 13.397 * * [simplify]: iteration 1 : 289 enodes (cost 2203 ) 13.519 * * [simplify]: Extracting # 0 : cost 0 13.519 * * [simplify]: Extracting # 1 : cost 0 13.520 * * [simplify]: Extracting # 2 : cost 0 13.521 * * [simplify]: Extracting # 3 : cost 0 13.522 * * [simplify]: Extracting # 4 : cost 0 13.523 * * [simplify]: iteration 2 : 888 enodes (cost 2081 ) 14.122 * * [simplify]: Extracting # 0 : cost 0 14.134 * * [simplify]: Extracting # 1 : cost 0 14.139 * * [simplify]: Extracting # 2 : cost 0 14.145 * * [simplify]: Extracting # 3 : cost 0 14.149 * * [simplify]: Extracting # 4 : cost 0 14.153 * * [simplify]: Extracting # 5 : cost 0 14.158 * * [simplify]: iteration 3 : 2221 enodes (cost 2042 ) 15.490 * * [simplify]: Extracting # 0 : cost 0 15.510 * * [simplify]: Extracting # 1 : cost 0 15.520 * * [simplify]: Extracting # 2 : cost 0 15.529 * * [simplify]: Extracting # 3 : cost 0 15.538 * * [simplify]: Extracting # 4 : cost 0 15.548 * * [simplify]: Extracting # 5 : cost 0 15.558 * * [simplify]: iteration done: 5000 enodes (cost 2014 ) 15.560 * [simplify]: Simplified to: (log (sqrt (/ x (+ y x)))) (exp (sqrt (/ x (+ y x)))) (* (cbrt (sqrt (/ x (+ y x)))) (cbrt (sqrt (/ x (+ y x))))) (cbrt (sqrt (/ x (+ y x)))) (pow (sqrt (/ x (+ y x))) 3) (fabs (cbrt (/ x (+ y x)))) (sqrt (cbrt (/ x (+ y x)))) (sqrt (sqrt (/ x (+ y x)))) (sqrt (sqrt (/ x (+ y x)))) (fabs (/ (cbrt x) (cbrt (+ y x)))) (sqrt (/ (cbrt x) (cbrt (+ y x)))) (sqrt (/ (* (cbrt x) (cbrt 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x)) (/ 1 (+ y x)) (/ (+ x y) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ x y))) x x (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 1 1 0 1 1 0 0 0 0 0 0 15.563 * * * [progress]: adding candidates to table 16.208 * [progress]: [Phase 3 of 3] Extracting. 16.208 * * [regime]: Finding splitpoints for: (# # # #) 16.209 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ y x)) y x) 16.209 * * * * [regimes]: Trying to branch on (/ x (+ y x)) from (# # # #) 16.233 * * * * [regimes]: Trying to branch on y from (# # # #) 16.251 * * * * [regimes]: Trying to branch on x from (# # # #) 16.265 * * * [regime]: Found split indices: #