17.327 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying: (/ x (+ y x)) 0.013 * * [simplify]: iteration 0: 4 enodes 0.014 * * [simplify]: iteration 1: 5 enodes 0.015 * * [simplify]: iteration complete: 5 enodes 0.015 * * [simplify]: Extracting #0: cost 1 inf + 0 0.015 * * [simplify]: Extracting #1: cost 3 inf + 0 0.015 * * [simplify]: Extracting #2: cost 3 inf + 1 0.015 * * [simplify]: Extracting #3: cost 0 inf + 126 0.015 * [simplify]: Simplified to: (/ x (+ y x)) 0.015 * * [progress]: iteration 1 / 4 0.015 * * * [progress]: picking best candidate 0.018 * * * * [pick]: Picked # 0.018 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.048 * * * [progress]: generating series expansions 0.048 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.048 * [backup-simplify]: Simplify (/ x (+ y x)) into (/ x (+ x y)) 0.048 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.048 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.048 * [taylor]: Taking taylor expansion of x in y 0.048 * [backup-simplify]: Simplify x into x 0.048 * [taylor]: Taking taylor expansion of (+ x y) in y 0.048 * [taylor]: Taking taylor expansion of x in y 0.048 * [backup-simplify]: Simplify x into x 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 1 into 1 0.048 * [backup-simplify]: Simplify (+ x 0) into x 0.048 * [backup-simplify]: Simplify (/ x x) into 1 0.048 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [taylor]: Taking taylor expansion of (+ x y) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [backup-simplify]: Simplify y into y 0.049 * [backup-simplify]: Simplify (+ 0 y) into y 0.049 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.049 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [taylor]: Taking taylor expansion of (+ x y) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [backup-simplify]: Simplify y into y 0.049 * [backup-simplify]: Simplify (+ 0 y) into y 0.049 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.050 * [backup-simplify]: Simplify (/ 1 1) into 1 0.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify (+ 1 0) into 1 0.051 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow y 2))) 0.052 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.052 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 1 into 1 0.052 * [backup-simplify]: Simplify (* 1 1) into 1 0.052 * [backup-simplify]: Simplify (/ 1 1) into 1 0.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.056 * [backup-simplify]: Simplify (- 0) into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (+ 0 0) into 0 0.058 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 1 y)))) into (/ 1 (pow y 3)) 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.058 * [taylor]: Taking taylor expansion of (pow y 3) in y 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 (* 1 1) into 1 0.059 * [backup-simplify]: Simplify (* 1 1) into 1 0.059 * [backup-simplify]: Simplify (/ 1 1) into 1 0.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.069 * [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 0 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 0.071 * [backup-simplify]: Simplify (/ (/ 1 x) (+ (/ 1 y) (/ 1 x))) into (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) 0.071 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in (x y) around 0 0.071 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in y 0.071 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.071 * [backup-simplify]: Simplify x into x 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.071 * [backup-simplify]: Simplify x into x 0.071 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.071 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.072 * [backup-simplify]: Simplify (/ 1 1) into 1 0.072 * [backup-simplify]: Simplify (+ 0 1) into 1 0.072 * [backup-simplify]: Simplify (* x 1) into x 0.072 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.072 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in x 0.072 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.072 * [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 0.073 * [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) 0.074 * [backup-simplify]: Simplify (+ 1 0) into 1 0.074 * [backup-simplify]: Simplify (* 0 1) into 0 0.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.075 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.076 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.076 * [backup-simplify]: Simplify (/ 1 1) into 1 0.076 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in x 0.076 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.077 * [backup-simplify]: Simplify (/ 1 1) into 1 0.077 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [backup-simplify]: Simplify y into y 0.077 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.077 * [backup-simplify]: Simplify (+ 1 0) into 1 0.078 * [backup-simplify]: Simplify (* 0 1) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.079 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.079 * [backup-simplify]: Simplify (/ 1 1) into 1 0.080 * [taylor]: Taking taylor expansion of 1 in y 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.081 * [backup-simplify]: Simplify (+ 0 0) into 0 0.082 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 y)) (* 0 1))) into (/ 1 y) 0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y)) 0.082 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (/ 1 1) into 1 0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.085 * [backup-simplify]: Simplify (- 0) into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.088 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (* 1 1) into 1 0.089 * [backup-simplify]: Simplify (/ 1 1) into 1 0.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.095 * [backup-simplify]: Simplify (- 0) into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (+ (/ 1 (- y)) (/ 1 (- x)))) into (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) 0.096 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in (x y) around 0 0.096 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in y 0.096 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in y 0.096 * [taylor]: Taking taylor expansion of x in y 0.096 * [backup-simplify]: Simplify x into x 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.096 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.096 * [taylor]: Taking taylor expansion of x in y 0.096 * [backup-simplify]: Simplify x into x 0.096 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.096 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.096 * [taylor]: Taking taylor expansion of y in y 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (/ 1 1) into 1 0.097 * [backup-simplify]: Simplify (+ 0 1) into 1 0.097 * [backup-simplify]: Simplify (* x 1) into x 0.097 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.097 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in x 0.097 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (/ 1 1) into 1 0.098 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.098 * [taylor]: Taking taylor expansion of y in x 0.098 * [backup-simplify]: Simplify y into y 0.098 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.098 * [backup-simplify]: Simplify (+ 1 0) into 1 0.099 * [backup-simplify]: Simplify (* 0 1) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.100 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.100 * [backup-simplify]: Simplify (/ 1 1) into 1 0.100 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in x 0.100 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (/ 1 1) into 1 0.101 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [backup-simplify]: Simplify y into y 0.101 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.102 * [backup-simplify]: Simplify (+ 1 0) into 1 0.102 * [backup-simplify]: Simplify (* 0 1) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.103 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 0.104 * [backup-simplify]: Simplify (/ 1 1) into 1 0.104 * [taylor]: Taking taylor expansion of 1 in y 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) 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 0.113 * [backup-simplify]: Simplify (/ 1 1) into 1 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (- 0) into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (/ 1 (pow y 2)) 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.120 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (* 1 1) into 1 0.121 * [backup-simplify]: Simplify (/ 1 1) into 1 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (- 0) into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * * * [progress]: simplifying candidates 0.128 * [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 0.129 * * [simplify]: iteration 0: 59 enodes 0.151 * * [simplify]: iteration 1: 128 enodes 0.214 * * [simplify]: iteration 2: 394 enodes 0.419 * * [simplify]: iteration 3: 1812 enodes 2.013 * * [simplify]: iteration complete: 5001 enodes 2.013 * * [simplify]: Extracting #0: cost 34 inf + 0 2.014 * * [simplify]: Extracting #1: cost 468 inf + 85 2.019 * * [simplify]: Extracting #2: cost 1104 inf + 20125 2.040 * * [simplify]: Extracting #3: cost 1097 inf + 96744 2.075 * * [simplify]: Extracting #4: cost 337 inf + 199826 2.127 * * [simplify]: Extracting #5: cost 74 inf + 248192 2.210 * * [simplify]: Extracting #6: cost 22 inf + 260844 2.259 * * [simplify]: Extracting #7: cost 6 inf + 265642 2.344 * * [simplify]: Extracting #8: cost 1 inf + 266274 2.423 * * [simplify]: Extracting #9: cost 0 inf + 266527 2.495 * [simplify]: Simplified to: (log (/ x (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (* (* (/ x (+ y x)) (/ x (+ y x))) (/ 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 (+ y x))) (/ (cbrt x) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (* (/ (cbrt x) (sqrt (+ y x))) (cbrt 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 (+ (* y (* y y)) (* (* x x) x))) (/ x (* (- y x) (+ y x))) 0 0 0 2.497 * * * [progress]: adding candidates to table 2.608 * * [progress]: iteration 2 / 4 2.609 * * * [progress]: picking best candidate 2.611 * * * * [pick]: Picked # 2.611 * * * [progress]: localizing error 2.619 * * * [progress]: generating rewritten candidates 2.619 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.636 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 2.660 * * * [progress]: generating series expansions 2.660 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.660 * [backup-simplify]: Simplify (/ 1 (/ (+ y x) x)) into (/ x (+ x y)) 2.660 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (y x) around 0 2.660 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 2.660 * [taylor]: Taking taylor expansion of x in x 2.660 * [backup-simplify]: Simplify 0 into 0 2.660 * [backup-simplify]: Simplify 1 into 1 2.660 * [taylor]: Taking taylor expansion of (+ x y) in x 2.660 * [taylor]: Taking taylor expansion of x in x 2.660 * [backup-simplify]: Simplify 0 into 0 2.660 * [backup-simplify]: Simplify 1 into 1 2.660 * [taylor]: Taking taylor expansion of y in x 2.660 * [backup-simplify]: Simplify y into y 2.660 * [backup-simplify]: Simplify (+ 0 y) into y 2.660 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.660 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 2.660 * [taylor]: Taking taylor expansion of x in y 2.660 * [backup-simplify]: Simplify x into x 2.660 * [taylor]: Taking taylor expansion of (+ x y) in y 2.660 * [taylor]: Taking taylor expansion of x in y 2.660 * [backup-simplify]: Simplify x into x 2.660 * [taylor]: Taking taylor expansion of y in y 2.660 * [backup-simplify]: Simplify 0 into 0 2.660 * [backup-simplify]: Simplify 1 into 1 2.660 * [backup-simplify]: Simplify (+ x 0) into x 2.660 * [backup-simplify]: Simplify (/ x x) into 1 2.660 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 2.660 * [taylor]: Taking taylor expansion of x in y 2.660 * [backup-simplify]: Simplify x into x 2.660 * [taylor]: Taking taylor expansion of (+ x y) in y 2.660 * [taylor]: Taking taylor expansion of x in y 2.660 * [backup-simplify]: Simplify x into x 2.660 * [taylor]: Taking taylor expansion of y in y 2.660 * [backup-simplify]: Simplify 0 into 0 2.660 * [backup-simplify]: Simplify 1 into 1 2.661 * [backup-simplify]: Simplify (+ x 0) into x 2.661 * [backup-simplify]: Simplify (/ x x) into 1 2.661 * [taylor]: Taking taylor expansion of 1 in x 2.661 * [backup-simplify]: Simplify 1 into 1 2.661 * [backup-simplify]: Simplify 0 into 0 2.661 * [backup-simplify]: Simplify (+ 0 1) into 1 2.661 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 1 x)))) into (- (/ 1 x)) 2.661 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.661 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.661 * [taylor]: Taking taylor expansion of x in x 2.661 * [backup-simplify]: Simplify 0 into 0 2.661 * [backup-simplify]: Simplify 1 into 1 2.662 * [backup-simplify]: Simplify (/ 1 1) into 1 2.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.663 * [backup-simplify]: Simplify (- 0) into 0 2.663 * [backup-simplify]: Simplify 0 into 0 2.663 * [backup-simplify]: Simplify 0 into 0 2.664 * [backup-simplify]: Simplify (+ 0 0) into 0 2.664 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 0 x)) (* (- (/ 1 x)) (/ 1 x)))) into (/ 1 (pow x 2)) 2.664 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.664 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.664 * [taylor]: Taking taylor expansion of x in x 2.664 * [backup-simplify]: Simplify 0 into 0 2.664 * [backup-simplify]: Simplify 1 into 1 2.664 * [backup-simplify]: Simplify (* 1 1) into 1 2.664 * [backup-simplify]: Simplify (/ 1 1) into 1 2.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.667 * [backup-simplify]: Simplify 0 into 0 2.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.668 * [backup-simplify]: Simplify (- 0) into 0 2.668 * [backup-simplify]: Simplify 0 into 0 2.668 * [backup-simplify]: Simplify 0 into 0 2.668 * [backup-simplify]: Simplify 0 into 0 2.668 * [backup-simplify]: Simplify (/ 1 (/ (+ (/ 1 y) (/ 1 x)) (/ 1 x))) into (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) 2.668 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in (y x) around 0 2.668 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in x 2.668 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 2.668 * [taylor]: Taking taylor expansion of x in x 2.668 * [backup-simplify]: Simplify 0 into 0 2.668 * [backup-simplify]: Simplify 1 into 1 2.668 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.668 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.668 * [taylor]: Taking taylor expansion of x in x 2.668 * [backup-simplify]: Simplify 0 into 0 2.668 * [backup-simplify]: Simplify 1 into 1 2.669 * [backup-simplify]: Simplify (/ 1 1) into 1 2.669 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.669 * [taylor]: Taking taylor expansion of y in x 2.669 * [backup-simplify]: Simplify y into y 2.669 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.669 * [backup-simplify]: Simplify (+ 1 0) into 1 2.669 * [backup-simplify]: Simplify (* 0 1) into 0 2.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.670 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 2.670 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 2.670 * [backup-simplify]: Simplify (/ 1 1) into 1 2.670 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in y 2.670 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in y 2.670 * [taylor]: Taking taylor expansion of x in y 2.670 * [backup-simplify]: Simplify x into x 2.670 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.670 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.670 * [taylor]: Taking taylor expansion of x in y 2.670 * [backup-simplify]: Simplify x into x 2.670 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.670 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.670 * [taylor]: Taking taylor expansion of y in y 2.671 * [backup-simplify]: Simplify 0 into 0 2.671 * [backup-simplify]: Simplify 1 into 1 2.671 * [backup-simplify]: Simplify (/ 1 1) into 1 2.671 * [backup-simplify]: Simplify (+ 0 1) into 1 2.671 * [backup-simplify]: Simplify (* x 1) into x 2.671 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.671 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in y 2.671 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in y 2.671 * [taylor]: Taking taylor expansion of x in y 2.671 * [backup-simplify]: Simplify x into x 2.671 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.671 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.671 * [taylor]: Taking taylor expansion of x in y 2.671 * [backup-simplify]: Simplify x into x 2.671 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.671 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.671 * [taylor]: Taking taylor expansion of y in y 2.671 * [backup-simplify]: Simplify 0 into 0 2.671 * [backup-simplify]: Simplify 1 into 1 2.672 * [backup-simplify]: Simplify (/ 1 1) into 1 2.672 * [backup-simplify]: Simplify (+ 0 1) into 1 2.672 * [backup-simplify]: Simplify (* x 1) into x 2.672 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.672 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.672 * [taylor]: Taking taylor expansion of x in x 2.672 * [backup-simplify]: Simplify 0 into 0 2.672 * [backup-simplify]: Simplify 1 into 1 2.672 * [backup-simplify]: Simplify (/ 1 1) into 1 2.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.673 * [backup-simplify]: Simplify 0 into 0 2.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.673 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 2.674 * [backup-simplify]: Simplify (+ (* x (/ 1 x)) (* 0 1)) into 1 2.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 1 x)))) into (- (/ 1 (pow x 2))) 2.674 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 2.674 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.674 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.674 * [taylor]: Taking taylor expansion of x in x 2.674 * [backup-simplify]: Simplify 0 into 0 2.674 * [backup-simplify]: Simplify 1 into 1 2.674 * [backup-simplify]: Simplify (* 1 1) into 1 2.674 * [backup-simplify]: Simplify (/ 1 1) into 1 2.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.676 * [backup-simplify]: Simplify (- 0) into 0 2.676 * [backup-simplify]: Simplify 0 into 0 2.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.677 * [backup-simplify]: Simplify 0 into 0 2.677 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.678 * [backup-simplify]: Simplify (+ 0 0) into 0 2.678 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 (/ 1 x)) (* 0 1))) into 0 2.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* (- (/ 1 (pow x 2))) (/ 1 x)))) into (/ 1 (pow x 3)) 2.678 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 2.678 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.678 * [taylor]: Taking taylor expansion of x in x 2.678 * [backup-simplify]: Simplify 0 into 0 2.678 * [backup-simplify]: Simplify 1 into 1 2.679 * [backup-simplify]: Simplify (* 1 1) into 1 2.679 * [backup-simplify]: Simplify (* 1 1) into 1 2.679 * [backup-simplify]: Simplify (/ 1 1) into 1 2.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.684 * [backup-simplify]: Simplify 0 into 0 2.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.687 * [backup-simplify]: Simplify (- 0) into 0 2.687 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify (/ 1 (/ (+ (/ 1 (- y)) (/ 1 (- x))) (/ 1 (- x)))) into (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) 2.688 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in (y x) around 0 2.688 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in x 2.688 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 2.688 * [taylor]: Taking taylor expansion of x in x 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify 1 into 1 2.688 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.688 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.688 * [taylor]: Taking taylor expansion of x in x 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify 1 into 1 2.689 * [backup-simplify]: Simplify (/ 1 1) into 1 2.689 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.689 * [taylor]: Taking taylor expansion of y in x 2.689 * [backup-simplify]: Simplify y into y 2.689 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.689 * [backup-simplify]: Simplify (+ 1 0) into 1 2.690 * [backup-simplify]: Simplify (* 0 1) into 0 2.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.691 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 2.691 * [backup-simplify]: Simplify (+ (* 0 (/ 1 y)) (* 1 1)) into 1 2.691 * [backup-simplify]: Simplify (/ 1 1) into 1 2.691 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in y 2.691 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in y 2.691 * [taylor]: Taking taylor expansion of x in y 2.692 * [backup-simplify]: Simplify x into x 2.692 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.692 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.692 * [taylor]: Taking taylor expansion of x in y 2.692 * [backup-simplify]: Simplify x into x 2.692 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.692 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.692 * [taylor]: Taking taylor expansion of y in y 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify 1 into 1 2.692 * [backup-simplify]: Simplify (/ 1 1) into 1 2.693 * [backup-simplify]: Simplify (+ 0 1) into 1 2.693 * [backup-simplify]: Simplify (* x 1) into x 2.693 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.693 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 x) (/ 1 y)))) in y 2.693 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in y 2.693 * [taylor]: Taking taylor expansion of x in y 2.693 * [backup-simplify]: Simplify x into x 2.693 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.693 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.693 * [taylor]: Taking taylor expansion of x in y 2.693 * [backup-simplify]: Simplify x into x 2.693 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.693 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.693 * [taylor]: Taking taylor expansion of y in y 2.693 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify 1 into 1 2.693 * [backup-simplify]: Simplify (/ 1 1) into 1 2.694 * [backup-simplify]: Simplify (+ 0 1) into 1 2.694 * [backup-simplify]: Simplify (* x 1) into x 2.694 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.694 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.694 * [taylor]: Taking taylor expansion of x in x 2.694 * [backup-simplify]: Simplify 0 into 0 2.694 * [backup-simplify]: Simplify 1 into 1 2.695 * [backup-simplify]: Simplify (/ 1 1) into 1 2.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.695 * [backup-simplify]: Simplify 0 into 0 2.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.696 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 2.697 * [backup-simplify]: Simplify (+ (* x (/ 1 x)) (* 0 1)) into 1 2.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 1 x)))) into (- (/ 1 (pow x 2))) 2.697 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 2.697 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.697 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.697 * [taylor]: Taking taylor expansion of x in x 2.697 * [backup-simplify]: Simplify 0 into 0 2.697 * [backup-simplify]: Simplify 1 into 1 2.698 * [backup-simplify]: Simplify (* 1 1) into 1 2.698 * [backup-simplify]: Simplify (/ 1 1) into 1 2.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.700 * [backup-simplify]: Simplify (- 0) into 0 2.700 * [backup-simplify]: Simplify 0 into 0 2.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.701 * [backup-simplify]: Simplify 0 into 0 2.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.702 * [backup-simplify]: Simplify (+ 0 0) into 0 2.702 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 (/ 1 x)) (* 0 1))) into 0 2.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* (- (/ 1 (pow x 2))) (/ 1 x)))) into (/ 1 (pow x 3)) 2.702 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 2.702 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.702 * [taylor]: Taking taylor expansion of x in x 2.702 * [backup-simplify]: Simplify 0 into 0 2.702 * [backup-simplify]: Simplify 1 into 1 2.703 * [backup-simplify]: Simplify (* 1 1) into 1 2.703 * [backup-simplify]: Simplify (* 1 1) into 1 2.703 * [backup-simplify]: Simplify (/ 1 1) into 1 2.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.709 * [backup-simplify]: Simplify (- 0) into 0 2.709 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 2.710 * [backup-simplify]: Simplify (/ (+ y x) x) into (/ (+ x y) x) 2.710 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (y x) around 0 2.710 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 2.710 * [taylor]: Taking taylor expansion of (+ x y) in x 2.710 * [taylor]: Taking taylor expansion of x in x 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify 1 into 1 2.710 * [taylor]: Taking taylor expansion of y in x 2.710 * [backup-simplify]: Simplify y into y 2.710 * [taylor]: Taking taylor expansion of x in x 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify 1 into 1 2.710 * [backup-simplify]: Simplify (+ 0 y) into y 2.710 * [backup-simplify]: Simplify (/ y 1) into y 2.710 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 2.710 * [taylor]: Taking taylor expansion of (+ x y) in y 2.710 * [taylor]: Taking taylor expansion of x in y 2.710 * [backup-simplify]: Simplify x into x 2.710 * [taylor]: Taking taylor expansion of y in y 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify 1 into 1 2.710 * [taylor]: Taking taylor expansion of x in y 2.710 * [backup-simplify]: Simplify x into x 2.710 * [backup-simplify]: Simplify (+ x 0) into x 2.710 * [backup-simplify]: Simplify (/ x x) into 1 2.710 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 2.710 * [taylor]: Taking taylor expansion of (+ x y) in y 2.710 * [taylor]: Taking taylor expansion of x in y 2.710 * [backup-simplify]: Simplify x into x 2.710 * [taylor]: Taking taylor expansion of y in y 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify 1 into 1 2.710 * [taylor]: Taking taylor expansion of x in y 2.710 * [backup-simplify]: Simplify x into x 2.710 * [backup-simplify]: Simplify (+ x 0) into x 2.710 * [backup-simplify]: Simplify (/ x x) into 1 2.710 * [taylor]: Taking taylor expansion of 1 in x 2.710 * [backup-simplify]: Simplify 1 into 1 2.711 * [backup-simplify]: Simplify (+ 0 1) into 1 2.711 * [backup-simplify]: Simplify (- (/ 1 x) (+ (* 1 (/ 0 x)))) into (/ 1 x) 2.711 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.711 * [taylor]: Taking taylor expansion of x in x 2.711 * [backup-simplify]: Simplify 0 into 0 2.711 * [backup-simplify]: Simplify 1 into 1 2.711 * [backup-simplify]: Simplify (/ 1 1) into 1 2.711 * [backup-simplify]: Simplify 1 into 1 2.711 * [backup-simplify]: Simplify 1 into 1 2.711 * [backup-simplify]: Simplify (+ 0 0) into 0 2.712 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 0 x)) (* (/ 1 x) (/ 0 x)))) into 0 2.712 * [taylor]: Taking taylor expansion of 0 in x 2.712 * [backup-simplify]: Simplify 0 into 0 2.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.712 * [backup-simplify]: Simplify 0 into 0 2.712 * [backup-simplify]: Simplify 0 into 0 2.713 * [backup-simplify]: Simplify (+ 0 0) into 0 2.713 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 0 x)) (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.713 * [taylor]: Taking taylor expansion of 0 in x 2.713 * [backup-simplify]: Simplify 0 into 0 2.713 * [backup-simplify]: Simplify 0 into 0 2.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.713 * [backup-simplify]: Simplify 0 into 0 2.713 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify (+ 0 0) into 0 2.714 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* 1 (/ 0 x)) (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.714 * [taylor]: Taking taylor expansion of 0 in x 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify (+ 1 (* 1 (* (/ 1 x) y))) into (+ (/ y x) 1) 2.714 * [backup-simplify]: Simplify (/ (+ (/ 1 y) (/ 1 x)) (/ 1 x)) into (* x (+ (/ 1 x) (/ 1 y))) 2.714 * [approximate]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in (y x) around 0 2.714 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 2.714 * [taylor]: Taking taylor expansion of x in x 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify 1 into 1 2.714 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.714 * [taylor]: Taking taylor expansion of x in x 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify 1 into 1 2.714 * [backup-simplify]: Simplify (/ 1 1) into 1 2.714 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.714 * [taylor]: Taking taylor expansion of y in x 2.714 * [backup-simplify]: Simplify y into y 2.714 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.714 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in y 2.715 * [taylor]: Taking taylor expansion of x in y 2.715 * [backup-simplify]: Simplify x into x 2.715 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.715 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.715 * [taylor]: Taking taylor expansion of x in y 2.715 * [backup-simplify]: Simplify x into x 2.715 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.715 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.715 * [taylor]: Taking taylor expansion of y in y 2.715 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify 1 into 1 2.715 * [backup-simplify]: Simplify (/ 1 1) into 1 2.715 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in y 2.715 * [taylor]: Taking taylor expansion of x in y 2.715 * [backup-simplify]: Simplify x into x 2.715 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.715 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.715 * [taylor]: Taking taylor expansion of x in y 2.715 * [backup-simplify]: Simplify x into x 2.715 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.715 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.715 * [taylor]: Taking taylor expansion of y in y 2.715 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify 1 into 1 2.715 * [backup-simplify]: Simplify (/ 1 1) into 1 2.716 * [backup-simplify]: Simplify (+ 0 1) into 1 2.716 * [backup-simplify]: Simplify (* x 1) into x 2.716 * [taylor]: Taking taylor expansion of x in x 2.716 * [backup-simplify]: Simplify 0 into 0 2.716 * [backup-simplify]: Simplify 1 into 1 2.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.716 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 2.717 * [backup-simplify]: Simplify (+ (* x (/ 1 x)) (* 0 1)) into 1 2.717 * [taylor]: Taking taylor expansion of 1 in x 2.717 * [backup-simplify]: Simplify 1 into 1 2.717 * [backup-simplify]: Simplify 0 into 0 2.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.717 * [backup-simplify]: Simplify (+ 0 0) into 0 2.718 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 (/ 1 x)) (* 0 1))) into 0 2.718 * [taylor]: Taking taylor expansion of 0 in x 2.718 * [backup-simplify]: Simplify 0 into 0 2.718 * [backup-simplify]: Simplify 1 into 1 2.718 * [backup-simplify]: Simplify 1 into 1 2.718 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.719 * [backup-simplify]: Simplify (+ 0 0) into 0 2.719 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 (/ 1 x)) (* 0 1)))) into 0 2.719 * [taylor]: Taking taylor expansion of 0 in x 2.719 * [backup-simplify]: Simplify 0 into 0 2.719 * [backup-simplify]: Simplify 0 into 0 2.719 * [backup-simplify]: Simplify 0 into 0 2.719 * [backup-simplify]: Simplify 0 into 0 2.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.720 * [backup-simplify]: Simplify (+ 0 0) into 0 2.721 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 x)) (* 0 1))))) into 0 2.721 * [taylor]: Taking taylor expansion of 0 in x 2.721 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 x) (/ 1 (/ 1 y)))) 1) into (+ (/ y x) 1) 2.721 * [backup-simplify]: Simplify (/ (+ (/ 1 (- y)) (/ 1 (- x))) (/ 1 (- x))) into (* x (+ (/ 1 x) (/ 1 y))) 2.721 * [approximate]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in (y x) around 0 2.721 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in x 2.722 * [taylor]: Taking taylor expansion of x in x 2.722 * [backup-simplify]: Simplify 0 into 0 2.722 * [backup-simplify]: Simplify 1 into 1 2.722 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.722 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.722 * [taylor]: Taking taylor expansion of x in x 2.722 * [backup-simplify]: Simplify 0 into 0 2.722 * [backup-simplify]: Simplify 1 into 1 2.722 * [backup-simplify]: Simplify (/ 1 1) into 1 2.722 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.722 * [taylor]: Taking taylor expansion of y in x 2.722 * [backup-simplify]: Simplify y into y 2.722 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.722 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in y 2.722 * [taylor]: Taking taylor expansion of x in y 2.722 * [backup-simplify]: Simplify x into x 2.722 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.722 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.722 * [taylor]: Taking taylor expansion of x in y 2.722 * [backup-simplify]: Simplify x into x 2.722 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.722 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.722 * [taylor]: Taking taylor expansion of y in y 2.722 * [backup-simplify]: Simplify 0 into 0 2.722 * [backup-simplify]: Simplify 1 into 1 2.722 * [backup-simplify]: Simplify (/ 1 1) into 1 2.722 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 x) (/ 1 y))) in y 2.722 * [taylor]: Taking taylor expansion of x in y 2.722 * [backup-simplify]: Simplify x into x 2.722 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.723 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.723 * [taylor]: Taking taylor expansion of x in y 2.723 * [backup-simplify]: Simplify x into x 2.723 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.723 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.723 * [taylor]: Taking taylor expansion of y in y 2.723 * [backup-simplify]: Simplify 0 into 0 2.723 * [backup-simplify]: Simplify 1 into 1 2.723 * [backup-simplify]: Simplify (/ 1 1) into 1 2.723 * [backup-simplify]: Simplify (+ 0 1) into 1 2.723 * [backup-simplify]: Simplify (* x 1) into x 2.723 * [taylor]: Taking taylor expansion of x in x 2.723 * [backup-simplify]: Simplify 0 into 0 2.723 * [backup-simplify]: Simplify 1 into 1 2.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.726 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 2.727 * [backup-simplify]: Simplify (+ (* x (/ 1 x)) (* 0 1)) into 1 2.727 * [taylor]: Taking taylor expansion of 1 in x 2.727 * [backup-simplify]: Simplify 1 into 1 2.727 * [backup-simplify]: Simplify 0 into 0 2.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.728 * [backup-simplify]: Simplify (+ 0 0) into 0 2.729 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 (/ 1 x)) (* 0 1))) into 0 2.729 * [taylor]: Taking taylor expansion of 0 in x 2.729 * [backup-simplify]: Simplify 0 into 0 2.729 * [backup-simplify]: Simplify 1 into 1 2.729 * [backup-simplify]: Simplify 1 into 1 2.729 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.731 * [backup-simplify]: Simplify (+ 0 0) into 0 2.731 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 (/ 1 x)) (* 0 1)))) into 0 2.732 * [taylor]: Taking taylor expansion of 0 in x 2.732 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.733 * [backup-simplify]: Simplify (+ 0 0) into 0 2.734 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 x)) (* 0 1))))) into 0 2.734 * [taylor]: Taking taylor expansion of 0 in x 2.734 * [backup-simplify]: Simplify 0 into 0 2.735 * [backup-simplify]: Simplify 0 into 0 2.735 * [backup-simplify]: Simplify 0 into 0 2.735 * [backup-simplify]: Simplify 0 into 0 2.735 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) 1) into (+ (/ y x) 1) 2.735 * * * [progress]: simplifying candidates 2.738 * [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) 2.741 * * [simplify]: iteration 0: 156 enodes 2.828 * * [simplify]: iteration 1: 389 enodes 2.957 * * [simplify]: iteration 2: 1116 enodes 3.649 * * [simplify]: iteration 3: 3050 enodes 4.677 * * [simplify]: iteration complete: 5002 enodes 4.678 * * [simplify]: Extracting #0: cost 61 inf + 0 4.681 * * [simplify]: Extracting #1: cost 593 inf + 86 4.689 * * [simplify]: Extracting #2: cost 973 inf + 6173 4.713 * * [simplify]: Extracting #3: cost 703 inf + 67731 4.751 * * [simplify]: Extracting #4: cost 103 inf + 175359 4.810 * * [simplify]: Extracting #5: cost 2 inf + 198011 4.863 * * [simplify]: Extracting #6: cost 0 inf + 198497 4.912 * [simplify]: Simplified to: -1 (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))) (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) -1 (/ (- (- x) y) x) (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (* (/ (cbrt x) (cbrt (+ x y))) (/ (cbrt x) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (/ 1 (cbrt (+ x y))) (cbrt (+ x y))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (* (/ (cbrt x) (cbrt (+ x y))) (/ (cbrt x) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (/ 1 (cbrt (+ x y))) (cbrt (+ x y))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (* (/ (cbrt x) (cbrt (+ x y))) (/ (cbrt x) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (/ 1 (cbrt (+ x y))) (cbrt (+ x y))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ x (+ x y)) (/ (+ x y) x) (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (* (/ (cbrt x) (cbrt (+ x y))) (/ (cbrt x) (cbrt (+ x y)))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (/ 1 (cbrt (+ x y))) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (sqrt x) 1 (* (cbrt x) (cbrt x)) (sqrt x) 1 1 (/ 1 (+ x y)) (/ (+ x y) x) (/ (+ x y) x) (/ (+ x y) x) (/ 1 (+ x y)) (log (/ (+ x y) x)) (log (/ (+ x y) x)) (exp (/ (+ x y) x)) (* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ 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 y)) (cbrt x)) (/ (cbrt (+ x y)) (cbrt x))) (/ (cbrt (+ x y)) (cbrt x)) (* (cbrt (+ x y)) (/ (cbrt (+ x y)) (sqrt x))) (/ (cbrt (+ x y)) (sqrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) x) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ x y)) (cbrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (sqrt x)) (sqrt (+ x y)) (/ (sqrt (+ x y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) 1 (/ (+ x y) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) 1 (/ (+ x y) x) (/ 1 x) (/ x (+ x y)) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (+ x y) (/ x (cbrt (+ x y))) (/ x (sqrt (+ x y))) (/ x (+ x y)) (/ x (+ x y)) (* (+ (* y y) (* (- x y) x)) x) (* x (- y x)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 4.923 * * * [progress]: adding candidates to table 5.407 * [progress]: [Phase 3 of 3] Extracting. 5.407 * * [regime]: Finding splitpoints for: (# #) 5.407 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ y x)) y x) 5.407 * * * * [regimes]: Trying to branch on (/ x (+ y x)) from (# #) 5.429 * * * * [regimes]: Trying to branch on y from (# #) 5.465 * * * * [regimes]: Trying to branch on x from (# #) 5.517 * * * [regime]: Found split indices: #