1.468 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying: (/ (+ x y) (+ y y)) 0.017 * * [simplify]: iteration 0: 5 enodes 0.018 * * [simplify]: iteration 1: 8 enodes 0.018 * * [simplify]: iteration 2: 11 enodes 0.020 * * [simplify]: iteration 3: 13 enodes 0.021 * * [simplify]: iteration complete: 13 enodes 0.021 * * [simplify]: Extracting #0: cost 1 inf + 0 0.021 * * [simplify]: Extracting #1: cost 7 inf + 0 0.021 * * [simplify]: Extracting #2: cost 5 inf + 5 0.021 * * [simplify]: Extracting #3: cost 4 inf + 6 0.021 * * [simplify]: Extracting #4: cost 0 inf + 26 0.021 * [simplify]: Simplified to: (/ (+ y x) (+ y y)) 0.024 * * [progress]: iteration 1 / 4 0.025 * * * [progress]: picking best candidate 0.027 * * * * [pick]: Picked # 0.027 * * * [progress]: localizing error 0.033 * * * [progress]: generating rewritten candidates 0.033 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.056 * * * [progress]: generating series expansions 0.056 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.056 * [backup-simplify]: Simplify (/ (+ y x) (+ y y)) into (* 1/2 (/ (+ x y) y)) 0.056 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in (y x) around 0 0.056 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.056 * [taylor]: Taking taylor expansion of 1/2 in x 0.056 * [backup-simplify]: Simplify 1/2 into 1/2 0.056 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.056 * [taylor]: Taking taylor expansion of (+ x y) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 1 into 1 0.056 * [taylor]: Taking taylor expansion of y in x 0.056 * [backup-simplify]: Simplify y into y 0.056 * [taylor]: Taking taylor expansion of y in x 0.057 * [backup-simplify]: Simplify y into y 0.057 * [backup-simplify]: Simplify (+ 0 y) into y 0.057 * [backup-simplify]: Simplify (/ y y) into 1 0.057 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in y 0.057 * [taylor]: Taking taylor expansion of 1/2 in y 0.057 * [backup-simplify]: Simplify 1/2 into 1/2 0.057 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 0.057 * [taylor]: Taking taylor expansion of (+ x y) in y 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [backup-simplify]: Simplify x into x 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [backup-simplify]: Simplify (+ x 0) into x 0.057 * [backup-simplify]: Simplify (/ x 1) into x 0.057 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in y 0.057 * [taylor]: Taking taylor expansion of 1/2 in y 0.057 * [backup-simplify]: Simplify 1/2 into 1/2 0.057 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 0.057 * [taylor]: Taking taylor expansion of (+ x y) in y 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [backup-simplify]: Simplify x into x 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [backup-simplify]: Simplify (+ x 0) into x 0.057 * [backup-simplify]: Simplify (/ x 1) into x 0.057 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 0.057 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.057 * [taylor]: Taking taylor expansion of 1/2 in x 0.057 * [backup-simplify]: Simplify 1/2 into 1/2 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.063 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify (+ 0 1) into 1 0.064 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* x (/ 0 1)))) into 1 0.064 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 x)) into 1/2 0.065 * [taylor]: Taking taylor expansion of 1/2 in x 0.065 * [backup-simplify]: Simplify 1/2 into 1/2 0.065 * [backup-simplify]: Simplify 1/2 into 1/2 0.065 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.065 * [backup-simplify]: Simplify 1/2 into 1/2 0.065 * [backup-simplify]: Simplify (+ 0 0) into 0 0.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.067 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 x))) into 0 0.067 * [taylor]: Taking taylor expansion of 0 in x 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 x)))) into 0 0.069 * [taylor]: Taking taylor expansion of 0 in x 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (+ (* 1/2 (* x (/ 1 y))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.070 * [backup-simplify]: Simplify (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 y))) into (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) 0.070 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in (y x) around 0 0.070 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.070 * [taylor]: Taking taylor expansion of 1/2 in x 0.070 * [backup-simplify]: Simplify 1/2 into 1/2 0.070 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (/ 1 1) into 1 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.070 * [backup-simplify]: Simplify y into y 0.070 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.070 * [taylor]: Taking taylor expansion of y in x 0.070 * [backup-simplify]: Simplify y into y 0.070 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in y 0.070 * [taylor]: Taking taylor expansion of 1/2 in y 0.070 * [backup-simplify]: Simplify 1/2 into 1/2 0.070 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in y 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.070 * [taylor]: Taking taylor expansion of x in y 0.070 * [backup-simplify]: Simplify x into x 0.070 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.070 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (/ 1 1) into 1 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 0.071 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in y 0.071 * [taylor]: Taking taylor expansion of 1/2 in y 0.071 * [backup-simplify]: Simplify 1/2 into 1/2 0.071 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in y 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 0.071 * [backup-simplify]: Simplify (/ 1 1) into 1 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 (+ 0 1) into 1 0.072 * [backup-simplify]: Simplify (* 1 0) into 0 0.072 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.073 * [taylor]: Taking taylor expansion of 0 in x 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.073 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 0.073 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 x) 0)) into 1 0.074 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.074 * [taylor]: Taking taylor expansion of 1/2 in x 0.074 * [backup-simplify]: Simplify 1/2 into 1/2 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 1) (* 0 0))) into (/ 1 x) 0.076 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 x)) (+ (* 0 1) (* 0 0))) into (* 1/2 (/ 1 x)) 0.076 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.076 * [taylor]: Taking taylor expansion of 1/2 in x 0.076 * [backup-simplify]: Simplify 1/2 into 1/2 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 0.076 * [backup-simplify]: Simplify (/ 1 1) into 1 0.076 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.076 * [backup-simplify]: Simplify 1/2 into 1/2 0.076 * [backup-simplify]: Simplify 1/2 into 1/2 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 0) (+ (* 0 1) (* 0 0)))) into 0 0.078 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 x)) (+ (* 0 1) (* 0 0)))) into 0 0.079 * [taylor]: Taking taylor expansion of 0 in x 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify (+ 0 0) into 0 0.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 x)) (+ (* 0 1) (* 0 0))))) into 0 0.082 * [taylor]: Taking taylor expansion of 0 in x 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 (/ 1 x)) (/ 1 y)))) into (+ (* 1/2 (/ x y)) 1/2) 0.084 * [backup-simplify]: Simplify (/ (+ (/ 1 (- y)) (/ 1 (- x))) (+ (/ 1 (- y)) (/ 1 (- y)))) into (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) 0.084 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in (y x) around 0 0.084 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.084 * [taylor]: Taking taylor expansion of 1/2 in x 0.084 * [backup-simplify]: Simplify 1/2 into 1/2 0.084 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (/ 1 1) into 1 0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [backup-simplify]: Simplify y into y 0.084 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [backup-simplify]: Simplify y into y 0.084 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in y 0.084 * [taylor]: Taking taylor expansion of 1/2 in y 0.084 * [backup-simplify]: Simplify 1/2 into 1/2 0.084 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in y 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.084 * [taylor]: Taking taylor expansion of x in y 0.084 * [backup-simplify]: Simplify x into x 0.084 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.084 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (/ 1 1) into 1 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in y 0.085 * [taylor]: Taking taylor expansion of 1/2 in y 0.085 * [backup-simplify]: Simplify 1/2 into 1/2 0.085 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in y 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.085 * [taylor]: Taking taylor expansion of x in y 0.085 * [backup-simplify]: Simplify x into x 0.085 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (/ 1 1) into 1 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (+ 0 1) into 1 0.086 * [backup-simplify]: Simplify (* 1 0) into 0 0.086 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.086 * [taylor]: Taking taylor expansion of 0 in x 0.086 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 0.087 * [backup-simplify]: Simplify (+ (* 1 1) (* (/ 1 x) 0)) into 1 0.087 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.087 * [taylor]: Taking taylor expansion of 1/2 in x 0.087 * [backup-simplify]: Simplify 1/2 into 1/2 0.087 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 1) (* 0 0))) into (/ 1 x) 0.089 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 x)) (+ (* 0 1) (* 0 0))) into (* 1/2 (/ 1 x)) 0.089 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.089 * [taylor]: Taking taylor expansion of 1/2 in x 0.089 * [backup-simplify]: Simplify 1/2 into 1/2 0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (/ 1 1) into 1 0.090 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.090 * [backup-simplify]: Simplify 1/2 into 1/2 0.090 * [backup-simplify]: Simplify 1/2 into 1/2 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 0) (+ (* 0 1) (* 0 0)))) into 0 0.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 x)) (+ (* 0 1) (* 0 0)))) into 0 0.093 * [taylor]: Taking taylor expansion of 0 in x 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 x)) (+ (* 0 1) (* 0 0))))) into 0 0.096 * [taylor]: Taking taylor expansion of 0 in x 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 (/ 1 (- x))) (/ 1 (- y))))) into (+ (* 1/2 (/ x y)) 1/2) 0.097 * * * [progress]: simplifying candidates 0.099 * [simplify]: Simplifying: (expm1 (/ (+ y x) (+ y y))) (log1p (/ (+ y x) (+ y y))) (- (log (+ y x)) (log (+ y y))) (log (/ (+ y x) (+ y y))) (exp (/ (+ y x) (+ y y))) (/ (* (* (+ y x) (+ y x)) (+ y x)) (* (* (+ y y) (+ y y)) (+ y y))) (* (cbrt (/ (+ y x) (+ y y))) (cbrt (/ (+ y x) (+ y y)))) (cbrt (/ (+ y x) (+ y y))) (* (* (/ (+ y x) (+ y y)) (/ (+ y x) (+ y y))) (/ (+ y x) (+ y y))) (sqrt (/ (+ y x) (+ y y))) (sqrt (/ (+ y x) (+ y y))) (- (+ y x)) (- (+ y y)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (cbrt (+ y x)) (cbrt (+ y y))) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt (+ y y))) (/ (cbrt (+ y x)) (sqrt (+ y y))) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1) (/ (cbrt (+ y x)) (+ y y)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ y x)) (+ (cbrt y) (cbrt y))) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt y)) (/ (cbrt (+ y x)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1) (/ (cbrt (+ y x)) (+ y y)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (cbrt y)) (/ (cbrt (+ y x)) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt y)) (/ (cbrt (+ y x)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) y) (/ (cbrt (+ y x)) (+ 1 1)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (+ 1 1)) (/ (cbrt (+ y x)) y) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (+ 1 1)) (/ (cbrt (+ y x)) y) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 2) (/ (cbrt (+ y x)) y) (/ (sqrt (+ y x)) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (sqrt (+ y x)) (cbrt (+ y y))) (/ (sqrt (+ y x)) (sqrt (+ y y))) (/ (sqrt (+ y x)) (sqrt (+ y y))) (/ (sqrt (+ y x)) 1) (/ (sqrt (+ y x)) (+ y y)) (/ (sqrt (+ y x)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ y x)) (+ (cbrt y) (cbrt y))) (/ (sqrt (+ y x)) (sqrt y)) (/ (sqrt (+ y x)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ y x)) 1) (/ (sqrt (+ y x)) (+ y y)) (/ (sqrt (+ y x)) (cbrt y)) (/ (sqrt (+ y x)) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (sqrt (+ y x)) (sqrt y)) (/ (sqrt (+ y x)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ y x)) y) (/ (sqrt (+ y x)) (+ 1 1)) (/ (sqrt (+ y x)) (+ 1 1)) (/ (sqrt (+ y x)) y) (/ (sqrt (+ y x)) (+ 1 1)) (/ (sqrt (+ y x)) y) (/ (sqrt (+ y x)) 2) (/ (sqrt (+ y x)) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ y x) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ y x) (sqrt (+ y y))) (/ 1 1) (/ (+ y x) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ y x) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ y x) (+ (sqrt y) (sqrt y))) (/ 1 1) (/ (+ y x) (+ y y)) (/ 1 (cbrt y)) (/ (+ y x) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ y x) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ y x) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ y x) y) (/ 1 (+ 1 1)) (/ (+ y x) y) (/ 1 2) (/ (+ y x) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ y x) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ y x) (sqrt (+ y y))) (/ 1 1) (/ (+ y x) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ y x) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ y x) (+ (sqrt y) (sqrt y))) (/ 1 1) (/ (+ y x) (+ y y)) (/ 1 (cbrt y)) (/ (+ y x) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ y x) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ y x) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ y x) y) (/ 1 (+ 1 1)) (/ (+ y x) y) (/ 1 2) (/ (+ y x) y) (/ 1 (+ y y)) (/ (+ y y) (+ y x)) (/ (+ y x) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ y x) (sqrt (+ y y))) (/ (+ y x) 1) (/ (+ y x) (* (cbrt y) (cbrt y))) (/ (+ y x) (sqrt y)) (/ (+ y x) 1) (/ (+ y x) (cbrt y)) (/ (+ y x) (sqrt y)) (/ (+ y x) y) (/ (+ y x) (+ 1 1)) (/ (+ y x) (+ 1 1)) (/ (+ y x) 2) (/ (+ y y) (cbrt (+ y x))) (/ (+ y y) (sqrt (+ y x))) (/ (+ y y) (+ y x)) (/ (+ y y) (+ y x)) (/ (+ y x) (+ (pow y 3) (pow y 3))) (/ (+ y x) (- (* y y) (* y y))) (* (+ y y) (+ (* y y) (- (* x x) (* y x)))) (* (+ y y) (- y x)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 0.100 * * [simplify]: iteration 0: 114 enodes 0.120 * * [simplify]: iteration 1: 241 enodes 0.209 * * [simplify]: iteration 2: 784 enodes 1.160 * * [simplify]: iteration 3: 4978 enodes 2.727 * * [simplify]: iteration complete: 5000 enodes 2.727 * * [simplify]: Extracting #0: cost 69 inf + 0 2.728 * * [simplify]: Extracting #1: cost 599 inf + 2 2.732 * * [simplify]: Extracting #2: cost 1194 inf + 802 2.739 * * [simplify]: Extracting #3: cost 777 inf + 8217 2.750 * * [simplify]: Extracting #4: cost 30 inf + 14087 2.770 * * [simplify]: Extracting #5: cost 4 inf + 14051 2.781 * * [simplify]: Extracting #6: cost 0 inf + 14077 2.794 * [simplify]: Simplified to: (expm1 (/ (+ y x) (+ y y))) (log1p (/ (+ y x) (+ y y))) (log (/ (+ y x) (+ y y))) (log (/ (+ y x) (+ y y))) (exp (/ (+ y x) (+ y y))) (pow (/ (+ y x) (+ y y)) 3) (* (cbrt (/ (+ y x) (+ y y))) (cbrt (/ (+ y x) (+ y y)))) (cbrt (/ (+ y x) (+ y y))) (pow (/ (+ y x) (+ y y)) 3) (sqrt (/ (+ y x) (+ y y))) (sqrt (/ (+ y x) (+ y y))) (- (- y) x) (* y -2) (/ (cbrt (+ y x)) (/ (* (cbrt (+ y y)) (cbrt (+ y y))) (cbrt (+ y x)))) (/ (cbrt (+ y x)) (cbrt (+ y y))) (/ (cbrt (+ y x)) (/ (sqrt (+ y y)) (cbrt (+ y x)))) (/ (cbrt (+ y x)) (sqrt (+ y y))) (* (cbrt (+ y x)) (cbrt (+ y x))) (/ (cbrt (+ y x)) (* y 2)) (* (cbrt (+ y x)) (/ (cbrt (+ y x)) (* (cbrt y) (cbrt y)))) (/ (cbrt (+ y x)) (* 2 (cbrt y))) (* (cbrt (+ y x)) (/ (cbrt (+ y x)) (sqrt y))) (/ (cbrt (+ y x)) (* (sqrt y) 2)) (* (cbrt (+ y x)) (cbrt (+ y x))) (/ (cbrt (+ y x)) (* y 2)) (/ (cbrt (+ y x)) (/ (cbrt y) (cbrt (+ y x)))) (/ (cbrt (+ y x)) (* (* (cbrt y) (cbrt y)) 2)) (* (cbrt (+ y x)) (/ (cbrt (+ y x)) (sqrt y))) (/ (cbrt (+ y x)) (* (sqrt y) 2)) (/ (cbrt (+ y x)) (/ y (cbrt (+ y x)))) (/ (cbrt (+ y x)) 2) (* (cbrt (+ y x)) (/ (cbrt (+ y x)) 2)) (/ (cbrt (+ y x)) y) (* (cbrt (+ y x)) (/ (cbrt (+ y x)) 2)) (/ (cbrt (+ y x)) y) (* (cbrt (+ y x)) (/ (cbrt (+ y x)) 2)) (/ (cbrt (+ y x)) y) (/ (sqrt (+ y x)) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (sqrt (+ y x)) (cbrt (+ y y))) (/ (sqrt (+ y x)) (sqrt (+ y y))) (/ (sqrt (+ y x)) (sqrt (+ y y))) (sqrt (+ y x)) (/ (/ (sqrt (+ y x)) 2) y) (/ (/ (sqrt (+ y x)) (cbrt y)) (cbrt y)) (/ (/ (sqrt (+ y x)) 2) (cbrt y)) (/ (sqrt (+ y x)) (sqrt y)) (/ (/ (sqrt (+ y x)) 2) (sqrt y)) (sqrt (+ y x)) (/ (/ (sqrt (+ y x)) 2) y) (/ (sqrt (+ y x)) (cbrt y)) (/ (/ (/ (sqrt (+ y x)) 2) (cbrt y)) (cbrt y)) (/ (sqrt (+ y x)) (sqrt y)) (/ (/ (sqrt (+ y x)) 2) (sqrt y)) (/ (sqrt (+ y x)) y) (/ (sqrt (+ y x)) 2) (/ (sqrt (+ y x)) 2) (/ (sqrt (+ y x)) y) (/ (sqrt (+ y x)) 2) (/ (sqrt (+ y x)) y) (/ (sqrt (+ y x)) 2) (/ (sqrt (+ y x)) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ y x) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ y x) (sqrt (+ y y))) 1 (/ (+ y x) (+ y y)) (/ (/ 1 (cbrt y)) (cbrt y)) (/ (+ y x) (* (cbrt y) 2)) (/ 1 (sqrt y)) (/ (/ (+ y x) (sqrt y)) 2) 1 (/ (+ y x) (+ y y)) (/ 1 (cbrt y)) (/ (+ y x) (* (* 2 (cbrt y)) (cbrt y))) (/ 1 (sqrt y)) (/ (/ (+ y x) (sqrt y)) 2) (/ 1 y) (/ (+ y x) 2) 1/2 (/ (+ y x) y) 1/2 (/ (+ y x) y) 1/2 (/ (+ y x) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ y x) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ y x) (sqrt (+ y y))) 1 (/ (+ y x) (+ y y)) (/ (/ 1 (cbrt y)) (cbrt y)) (/ (+ y x) (* (cbrt y) 2)) (/ 1 (sqrt y)) (/ (/ (+ y x) (sqrt y)) 2) 1 (/ (+ y x) (+ y y)) (/ 1 (cbrt y)) (/ (+ y x) (* (* 2 (cbrt y)) (cbrt y))) (/ 1 (sqrt y)) (/ (/ (+ y x) (sqrt y)) 2) (/ 1 y) (/ (+ y x) 2) 1/2 (/ (+ y x) y) 1/2 (/ (+ y x) y) 1/2 (/ (+ y x) y) (/ 1/2 y) (/ 2 (/ (+ y x) y)) (/ (+ y x) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ y x) (sqrt (+ y y))) (+ y x) (/ (+ y x) (* (cbrt y) (cbrt y))) (/ (+ y x) (sqrt y)) (+ y x) (/ (+ y x) (cbrt y)) (/ (+ y x) (sqrt y)) (/ (+ y x) y) (/ (+ y x) 2) (/ (+ y x) 2) (/ (+ y x) 2) (/ y (/ (cbrt (+ y x)) 2)) (* (/ 2 (sqrt (+ y x))) y) (/ 2 (/ (+ y x) y)) (/ 2 (/ (+ y x) y)) (/ (/ (+ y x) (pow y 3)) 2) (/ (+ y x) 0) (* (+ y y) (fma (- x y) x (* y y))) (* (+ y y) (- y x)) (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2) 2.795 * * * [progress]: adding candidates to table 3.082 * * [progress]: iteration 2 / 4 3.082 * * * [progress]: picking best candidate 3.087 * * * * [pick]: Picked # 3.087 * * * [progress]: localizing error 3.096 * * * [progress]: generating rewritten candidates 3.096 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 3.096 * * * [progress]: generating series expansions 3.096 * * * * [progress]: [ 1 / 1 ] generating series at (2) 3.097 * [backup-simplify]: Simplify (fma 1/2 (/ x y) 1/2) into (fma 1/2 (/ x y) 1/2) 3.097 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in (x y) around 0 3.097 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in y 3.097 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) 1/2) 3.097 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 3.097 * [taylor]: Taking taylor expansion of 1/2 in y 3.097 * [backup-simplify]: Simplify 1/2 into 1/2 3.097 * [taylor]: Taking taylor expansion of (/ x y) in y 3.097 * [taylor]: Taking taylor expansion of x in y 3.097 * [backup-simplify]: Simplify x into x 3.097 * [taylor]: Taking taylor expansion of y in y 3.097 * [backup-simplify]: Simplify 0 into 0 3.097 * [backup-simplify]: Simplify 1 into 1 3.097 * [backup-simplify]: Simplify (/ x 1) into x 3.097 * [taylor]: Taking taylor expansion of 1/2 in y 3.097 * [backup-simplify]: Simplify 1/2 into 1/2 3.097 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in x 3.097 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) 1/2) 3.097 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 3.097 * [taylor]: Taking taylor expansion of 1/2 in x 3.097 * [backup-simplify]: Simplify 1/2 into 1/2 3.097 * [taylor]: Taking taylor expansion of (/ x y) in x 3.097 * [taylor]: Taking taylor expansion of x in x 3.097 * [backup-simplify]: Simplify 0 into 0 3.097 * [backup-simplify]: Simplify 1 into 1 3.097 * [taylor]: Taking taylor expansion of y in x 3.097 * [backup-simplify]: Simplify y into y 3.097 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.097 * [taylor]: Taking taylor expansion of 1/2 in x 3.097 * [backup-simplify]: Simplify 1/2 into 1/2 3.097 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in x 3.097 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) 1/2) 3.097 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 3.097 * [taylor]: Taking taylor expansion of 1/2 in x 3.097 * [backup-simplify]: Simplify 1/2 into 1/2 3.097 * [taylor]: Taking taylor expansion of (/ x y) in x 3.097 * [taylor]: Taking taylor expansion of x in x 3.097 * [backup-simplify]: Simplify 0 into 0 3.097 * [backup-simplify]: Simplify 1 into 1 3.097 * [taylor]: Taking taylor expansion of y in x 3.097 * [backup-simplify]: Simplify y into y 3.098 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.098 * [taylor]: Taking taylor expansion of 1/2 in x 3.098 * [backup-simplify]: Simplify 1/2 into 1/2 3.098 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.098 * [taylor]: Taking taylor expansion of 1/2 in y 3.098 * [backup-simplify]: Simplify 1/2 into 1/2 3.098 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 3.098 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 3.098 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 3.098 * [taylor]: Taking taylor expansion of 1/2 in y 3.098 * [backup-simplify]: Simplify 1/2 into 1/2 3.098 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.098 * [taylor]: Taking taylor expansion of y in y 3.098 * [backup-simplify]: Simplify 0 into 0 3.098 * [backup-simplify]: Simplify 1 into 1 3.099 * [backup-simplify]: Simplify (/ 1 1) into 1 3.099 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.099 * [backup-simplify]: Simplify 1/2 into 1/2 3.099 * [backup-simplify]: Simplify 1/2 into 1/2 3.099 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 3.099 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 3.100 * [backup-simplify]: Simplify (+ 0 0) into 0 3.100 * [taylor]: Taking taylor expansion of 0 in y 3.100 * [backup-simplify]: Simplify 0 into 0 3.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.101 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.101 * [backup-simplify]: Simplify 0 into 0 3.101 * [backup-simplify]: Simplify 0 into 0 3.101 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.101 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 3.102 * [backup-simplify]: Simplify (+ 0 0) into 0 3.102 * [taylor]: Taking taylor expansion of 0 in y 3.102 * [backup-simplify]: Simplify 0 into 0 3.102 * [backup-simplify]: Simplify 0 into 0 3.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.103 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.103 * [backup-simplify]: Simplify 0 into 0 3.103 * [backup-simplify]: Simplify 0 into 0 3.103 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.104 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 3.104 * [backup-simplify]: Simplify (+ 0 0) into 0 3.104 * [taylor]: Taking taylor expansion of 0 in y 3.104 * [backup-simplify]: Simplify 0 into 0 3.104 * [backup-simplify]: Simplify 0 into 0 3.104 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 y) x))) into (+ (* 1/2 (/ x y)) 1/2) 3.104 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 x) (/ 1 y)) 1/2) into (fma 1/2 (/ y x) 1/2) 3.104 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in (x y) around 0 3.104 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in y 3.104 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 3.104 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 3.104 * [taylor]: Taking taylor expansion of 1/2 in y 3.104 * [backup-simplify]: Simplify 1/2 into 1/2 3.104 * [taylor]: Taking taylor expansion of (/ y x) in y 3.104 * [taylor]: Taking taylor expansion of y in y 3.104 * [backup-simplify]: Simplify 0 into 0 3.104 * [backup-simplify]: Simplify 1 into 1 3.105 * [taylor]: Taking taylor expansion of x in y 3.105 * [backup-simplify]: Simplify x into x 3.105 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.105 * [taylor]: Taking taylor expansion of 1/2 in y 3.105 * [backup-simplify]: Simplify 1/2 into 1/2 3.105 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 3.105 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 3.105 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 3.105 * [taylor]: Taking taylor expansion of 1/2 in x 3.105 * [backup-simplify]: Simplify 1/2 into 1/2 3.105 * [taylor]: Taking taylor expansion of (/ y x) in x 3.105 * [taylor]: Taking taylor expansion of y in x 3.105 * [backup-simplify]: Simplify y into y 3.105 * [taylor]: Taking taylor expansion of x in x 3.105 * [backup-simplify]: Simplify 0 into 0 3.105 * [backup-simplify]: Simplify 1 into 1 3.105 * [backup-simplify]: Simplify (/ y 1) into y 3.105 * [taylor]: Taking taylor expansion of 1/2 in x 3.105 * [backup-simplify]: Simplify 1/2 into 1/2 3.105 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 3.105 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 3.105 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 3.105 * [taylor]: Taking taylor expansion of 1/2 in x 3.105 * [backup-simplify]: Simplify 1/2 into 1/2 3.105 * [taylor]: Taking taylor expansion of (/ y x) in x 3.105 * [taylor]: Taking taylor expansion of y in x 3.105 * [backup-simplify]: Simplify y into y 3.105 * [taylor]: Taking taylor expansion of x in x 3.105 * [backup-simplify]: Simplify 0 into 0 3.105 * [backup-simplify]: Simplify 1 into 1 3.105 * [backup-simplify]: Simplify (/ y 1) into y 3.105 * [taylor]: Taking taylor expansion of 1/2 in x 3.105 * [backup-simplify]: Simplify 1/2 into 1/2 3.105 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 3.105 * [backup-simplify]: Simplify (+ (* 1/2 y) 0) into (* 1/2 y) 3.105 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 3.105 * [taylor]: Taking taylor expansion of 1/2 in y 3.105 * [backup-simplify]: Simplify 1/2 into 1/2 3.105 * [taylor]: Taking taylor expansion of y in y 3.105 * [backup-simplify]: Simplify 0 into 0 3.105 * [backup-simplify]: Simplify 1 into 1 3.106 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.106 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 3.107 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 3.107 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.107 * [taylor]: Taking taylor expansion of 1/2 in y 3.107 * [backup-simplify]: Simplify 1/2 into 1/2 3.107 * [backup-simplify]: Simplify 1/2 into 1/2 3.107 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.107 * [backup-simplify]: Simplify 1/2 into 1/2 3.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.109 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 3.109 * [backup-simplify]: Simplify (+ 0 0) into 0 3.109 * [taylor]: Taking taylor expansion of 0 in y 3.109 * [backup-simplify]: Simplify 0 into 0 3.109 * [backup-simplify]: Simplify 0 into 0 3.109 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.110 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.111 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.112 * [backup-simplify]: Simplify (+ 0 0) into 0 3.112 * [taylor]: Taking taylor expansion of 0 in y 3.112 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 3.112 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 (- x)) (/ 1 (- y))) 1/2) into (fma 1/2 (/ y x) 1/2) 3.112 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in (x y) around 0 3.112 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in y 3.112 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 3.112 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 3.112 * [taylor]: Taking taylor expansion of 1/2 in y 3.112 * [backup-simplify]: Simplify 1/2 into 1/2 3.112 * [taylor]: Taking taylor expansion of (/ y x) in y 3.112 * [taylor]: Taking taylor expansion of y in y 3.112 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify 1 into 1 3.112 * [taylor]: Taking taylor expansion of x in y 3.112 * [backup-simplify]: Simplify x into x 3.112 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.112 * [taylor]: Taking taylor expansion of 1/2 in y 3.112 * [backup-simplify]: Simplify 1/2 into 1/2 3.112 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 3.112 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 3.112 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 3.113 * [taylor]: Taking taylor expansion of 1/2 in x 3.113 * [backup-simplify]: Simplify 1/2 into 1/2 3.113 * [taylor]: Taking taylor expansion of (/ y x) in x 3.113 * [taylor]: Taking taylor expansion of y in x 3.113 * [backup-simplify]: Simplify y into y 3.113 * [taylor]: Taking taylor expansion of x in x 3.113 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify 1 into 1 3.113 * [backup-simplify]: Simplify (/ y 1) into y 3.113 * [taylor]: Taking taylor expansion of 1/2 in x 3.113 * [backup-simplify]: Simplify 1/2 into 1/2 3.113 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 3.113 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 3.113 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 3.113 * [taylor]: Taking taylor expansion of 1/2 in x 3.113 * [backup-simplify]: Simplify 1/2 into 1/2 3.113 * [taylor]: Taking taylor expansion of (/ y x) in x 3.113 * [taylor]: Taking taylor expansion of y in x 3.113 * [backup-simplify]: Simplify y into y 3.113 * [taylor]: Taking taylor expansion of x in x 3.113 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify 1 into 1 3.113 * [backup-simplify]: Simplify (/ y 1) into y 3.113 * [taylor]: Taking taylor expansion of 1/2 in x 3.113 * [backup-simplify]: Simplify 1/2 into 1/2 3.113 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 3.113 * [backup-simplify]: Simplify (+ (* 1/2 y) 0) into (* 1/2 y) 3.113 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 3.113 * [taylor]: Taking taylor expansion of 1/2 in y 3.113 * [backup-simplify]: Simplify 1/2 into 1/2 3.113 * [taylor]: Taking taylor expansion of y in y 3.113 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify 1 into 1 3.114 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.114 * [backup-simplify]: Simplify 0 into 0 3.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 3.114 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 3.115 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.115 * [taylor]: Taking taylor expansion of 1/2 in y 3.115 * [backup-simplify]: Simplify 1/2 into 1/2 3.115 * [backup-simplify]: Simplify 1/2 into 1/2 3.115 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.115 * [backup-simplify]: Simplify 1/2 into 1/2 3.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.116 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 3.117 * [backup-simplify]: Simplify (+ 0 0) into 0 3.117 * [taylor]: Taking taylor expansion of 0 in y 3.117 * [backup-simplify]: Simplify 0 into 0 3.117 * [backup-simplify]: Simplify 0 into 0 3.117 * [backup-simplify]: Simplify 0 into 0 3.117 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.117 * [backup-simplify]: Simplify 0 into 0 3.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.119 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.119 * [backup-simplify]: Simplify (+ 0 0) into 0 3.120 * [taylor]: Taking taylor expansion of 0 in y 3.120 * [backup-simplify]: Simplify 0 into 0 3.120 * [backup-simplify]: Simplify 0 into 0 3.120 * [backup-simplify]: Simplify 0 into 0 3.120 * [backup-simplify]: Simplify 0 into 0 3.120 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 3.120 * * * [progress]: simplifying candidates 3.120 * [simplify]: Simplifying: (expm1 (fma 1/2 (/ x y) 1/2)) (log1p (fma 1/2 (/ x y) 1/2)) (* 1/2 (/ x y)) (log (fma 1/2 (/ x y) 1/2)) (exp (fma 1/2 (/ x y) 1/2)) (* (cbrt (fma 1/2 (/ x y) 1/2)) (cbrt (fma 1/2 (/ x y) 1/2))) (cbrt (fma 1/2 (/ x y) 1/2)) (* (* (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2)) (fma 1/2 (/ x y) 1/2)) (sqrt (fma 1/2 (/ x y) 1/2)) (sqrt (fma 1/2 (/ x y) 1/2)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 3.120 * * [simplify]: iteration 0: 16 enodes 3.124 * * [simplify]: iteration 1: 24 enodes 3.134 * * [simplify]: iteration 2: 81 enodes 3.192 * * [simplify]: iteration 3: 361 enodes 3.969 * * [simplify]: iteration 4: 2128 enodes 5.860 * * [simplify]: iteration complete: 5000 enodes 5.860 * * [simplify]: Extracting #0: cost 10 inf + 0 5.862 * * [simplify]: Extracting #1: cost 156 inf + 0 5.866 * * [simplify]: Extracting #2: cost 369 inf + 51 5.871 * * [simplify]: Extracting #3: cost 111 inf + 2940 5.875 * * [simplify]: Extracting #4: cost 4 inf + 4034 5.880 * * [simplify]: Extracting #5: cost 2 inf + 4024 5.884 * * [simplify]: Extracting #6: cost 1 inf + 4029 5.893 * * [simplify]: Extracting #7: cost 0 inf + 4037 5.898 * [simplify]: Simplified to: (expm1 (fma (/ x y) 1/2 1/2)) (log1p (fma (/ x y) 1/2 1/2)) (* (/ x y) 1/2) (+ (log1p (/ x y)) (log 1/2)) (sqrt (exp (+ (/ x y) 1))) (* (cbrt (fma (/ x y) 1/2 1/2)) (cbrt (fma (/ x y) 1/2 1/2))) (cbrt (fma (/ x y) 1/2 1/2)) (pow (fma (/ x y) 1/2 1/2) 3) (sqrt (fma (/ x y) 1/2 1/2)) (sqrt (fma (/ x y) 1/2 1/2)) (fma (/ x y) 1/2 1/2) (fma (/ x y) 1/2 1/2) (fma (/ x y) 1/2 1/2) 5.899 * * * [progress]: adding candidates to table 5.949 * [progress]: [Phase 3 of 3] Extracting. 5.949 * * [regime]: Finding splitpoints for: (# #) 5.949 * * * [regime-changes]: Trying 2 branch expressions: (y x) 5.949 * * * * [regimes]: Trying to branch on y from (# #) 6.005 * * * * [regimes]: Trying to branch on x from (# #) 6.035 * * * [regime]: Found split indices: #