23.533 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying: (/ (+ x y) (+ y y)) 0.014 * * [simplify]: Extracting # 0 : cost 0 0.014 * * [simplify]: Extracting # 1 : cost 0 0.014 * * [simplify]: Extracting # 2 : cost 0 0.014 * * [simplify]: Extracting # 3 : cost 0 0.014 * * [simplify]: Extracting # 4 : cost 0 0.014 * * [simplify]: iteration 0 : 5 enodes (cost 7 ) 0.015 * * [simplify]: Extracting # 0 : cost 0 0.015 * * [simplify]: Extracting # 1 : cost 0 0.015 * * [simplify]: Extracting # 2 : cost 0 0.015 * * [simplify]: iteration 1 : 8 enodes (cost 7 ) 0.016 * * [simplify]: Extracting # 0 : cost 0 0.016 * * [simplify]: Extracting # 1 : cost 0 0.016 * * [simplify]: Extracting # 2 : cost 0 0.016 * * [simplify]: iteration 2 : 11 enodes (cost 7 ) 0.018 * * [simplify]: Extracting # 0 : cost 0 0.018 * * [simplify]: Extracting # 1 : cost 0 0.018 * * [simplify]: Extracting # 2 : cost 0 0.018 * * [simplify]: iteration 3 : 13 enodes (cost 7 ) 0.020 * * [simplify]: Extracting # 0 : cost 0 0.020 * * [simplify]: iteration done: 13 enodes (cost 7 ) 0.020 * [simplify]: Simplified to: (/ (+ x y) (+ y y)) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [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 (/ (+ x y) (+ y y)) into (* 1/2 (/ (+ x y) y)) 0.056 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in (x y) around 0 0.056 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in y 0.056 * [taylor]: Taking taylor expansion of 1/2 in y 0.056 * [backup-simplify]: Simplify 1/2 into 1/2 0.056 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 0.056 * [taylor]: Taking taylor expansion of (+ x y) in y 0.056 * [taylor]: Taking taylor expansion of x in y 0.056 * [backup-simplify]: Simplify x into x 0.056 * [taylor]: Taking taylor expansion of y in y 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 y 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 1 into 1 0.056 * [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 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 y) y) in x 0.057 * [taylor]: Taking taylor expansion of (+ x y) in x 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 0.057 * [taylor]: Taking taylor expansion of y in x 0.057 * [backup-simplify]: Simplify y into y 0.057 * [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 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 y) y) in x 0.057 * [taylor]: Taking taylor expansion of (+ x y) in x 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 0.057 * [taylor]: Taking taylor expansion of y in x 0.057 * [backup-simplify]: Simplify y into y 0.057 * [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 0.058 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.058 * [taylor]: Taking taylor expansion of 1/2 in y 0.058 * [backup-simplify]: Simplify 1/2 into 1/2 0.058 * [backup-simplify]: Simplify (+ 1 0) into 1 0.058 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y) 0.058 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 y)) (* 0 1)) into (* 1/2 (/ 1 y)) 0.058 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.058 * [taylor]: Taking taylor expansion of 1/2 in y 0.058 * [backup-simplify]: Simplify 1/2 into 1/2 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) 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 0.059 * [backup-simplify]: Simplify (/ 1 1) into 1 0.059 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.059 * [backup-simplify]: Simplify 1/2 into 1/2 0.059 * [backup-simplify]: Simplify 1/2 into 1/2 0.059 * [backup-simplify]: Simplify (+ 0 0) into 0 0.059 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0 0.060 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.061 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify (+ 0 0) into 0 0.061 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.062 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.063 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (+ 0 0) into 0 0.063 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.064 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.064 * [taylor]: Taking taylor expansion of 0 in y 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 y) x))) into (+ (* 1/2 (/ x y)) 1/2) 0.064 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 y))) into (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) 0.064 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 0.064 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.064 * [taylor]: Taking taylor expansion of 1/2 in y 0.064 * [backup-simplify]: Simplify 1/2 into 1/2 0.064 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.064 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [backup-simplify]: Simplify (/ 1 1) into 1 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.065 * [taylor]: Taking taylor expansion of x in y 0.065 * [backup-simplify]: Simplify x into x 0.065 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.065 * [taylor]: Taking taylor expansion of y in y 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.065 * [taylor]: Taking taylor expansion of 1/2 in x 0.065 * [backup-simplify]: Simplify 1/2 into 1/2 0.065 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [backup-simplify]: Simplify y into y 0.065 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (/ 1 1) into 1 0.066 * [taylor]: Taking taylor expansion of y in x 0.066 * [backup-simplify]: Simplify y into y 0.066 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.066 * [taylor]: Taking taylor expansion of 1/2 in x 0.066 * [backup-simplify]: Simplify 1/2 into 1/2 0.066 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.066 * [backup-simplify]: Simplify y into y 0.066 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.066 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (/ 1 1) into 1 0.066 * [taylor]: Taking taylor expansion of y in x 0.066 * [backup-simplify]: Simplify y into y 0.066 * [backup-simplify]: Simplify (+ 0 1) into 1 0.066 * [backup-simplify]: Simplify (* 1 y) into y 0.066 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.066 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.066 * [taylor]: Taking taylor expansion of 1/2 in y 0.066 * [backup-simplify]: Simplify 1/2 into 1/2 0.066 * [taylor]: Taking taylor expansion of y in y 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.067 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.067 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.068 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.068 * [taylor]: Taking taylor expansion of 1/2 in y 0.068 * [backup-simplify]: Simplify 1/2 into 1/2 0.068 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify (+ 0 0) into 0 0.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.069 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1/2 into 1/2 0.070 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.070 * [backup-simplify]: Simplify 1/2 into 1/2 0.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.071 * [backup-simplify]: Simplify (+ 0 0) into 0 0.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.072 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.073 * [backup-simplify]: Simplify (+ 0 0) into 0 0.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.075 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.075 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- y)) (/ 1 (- y)))) into (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) 0.075 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 0.075 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.075 * [taylor]: Taking taylor expansion of 1/2 in y 0.075 * [backup-simplify]: Simplify 1/2 into 1/2 0.075 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.076 * [taylor]: Taking taylor expansion of y in y 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 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.076 * [taylor]: Taking taylor expansion of x in y 0.076 * [backup-simplify]: Simplify x into x 0.076 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.076 * [taylor]: Taking taylor expansion of y in y 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) 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 y) (/ 1 x)) y) in x 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [backup-simplify]: Simplify y into y 0.076 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 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 * [taylor]: Taking taylor expansion of y in x 0.076 * [backup-simplify]: Simplify y into y 0.076 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) 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 y) (/ 1 x)) y) in x 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 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 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [backup-simplify]: Simplify (/ 1 1) into 1 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [backup-simplify]: Simplify y into y 0.077 * [backup-simplify]: Simplify (+ 0 1) into 1 0.077 * [backup-simplify]: Simplify (* 1 y) into y 0.077 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.077 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.077 * [taylor]: Taking taylor expansion of 1/2 in y 0.077 * [backup-simplify]: Simplify 1/2 into 1/2 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.078 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.079 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.079 * [taylor]: Taking taylor expansion of 1/2 in y 0.079 * [backup-simplify]: Simplify 1/2 into 1/2 0.079 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.080 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1/2 into 1/2 0.081 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.081 * [backup-simplify]: Simplify 1/2 into 1/2 0.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify (+ 0 0) into 0 0.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.083 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.086 * * * [progress]: simplifying candidates 0.088 * [simplify]: Simplifying: (- (log (+ x y)) (log (+ y y))) (log (/ (+ x y) (+ y y))) (exp (/ (+ x y) (+ y y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ y y) (+ y y)) (+ y y))) (* (cbrt (/ (+ x y) (+ y y))) (cbrt (/ (+ x y) (+ y y)))) (cbrt (/ (+ x y) (+ y y))) (* (* (/ (+ x y) (+ y y)) (/ (+ x y) (+ y y))) (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (- (+ x y)) (- (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (cbrt (+ x y)) (cbrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ y y))) (/ (cbrt (+ x y)) (sqrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (cbrt y)) (/ (cbrt (+ x y)) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) y) (/ (cbrt (+ x y)) (+ 1 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ 1 1)) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ 1 1)) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (sqrt (+ x y)) (cbrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 2) (/ (+ x y) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 2) (/ (+ x y) y) (/ 1 (+ y y)) (/ (+ y y) (+ x y)) (/ (+ x y) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (sqrt (+ y y))) (/ (+ x y) 1) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (/ (+ x y) 1) (/ (+ x y) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (+ x y) y) (/ (+ x y) (+ 1 1)) (/ (+ x y) (+ 1 1)) (/ (+ x y) 2) (/ (+ y y) (cbrt (+ x y))) (/ (+ y y) (sqrt (+ x y))) (/ (+ y y) (+ x y)) (/ (+ y y) (+ x y)) (/ (+ x y) (+ (pow y 3) (pow y 3))) (/ (+ x y) (- (* y y) (* y y))) (* (+ y y) (+ (* x x) (- (* y y) (* x y)))) (* (+ y y) (- x y)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 0.089 * * [simplify]: Extracting # 0 : cost 0 0.089 * * [simplify]: Extracting # 1 : cost 0 0.090 * * [simplify]: Extracting # 2 : cost 0 0.090 * * [simplify]: Extracting # 3 : cost 0 0.090 * * [simplify]: Extracting # 4 : cost 0 0.090 * * [simplify]: Extracting # 5 : cost 0 0.090 * * [simplify]: iteration 0 : 112 enodes (cost 1073 ) 0.118 * * [simplify]: Extracting # 0 : cost 0 0.118 * * [simplify]: Extracting # 1 : cost 0 0.119 * * [simplify]: Extracting # 2 : cost 0 0.119 * * [simplify]: Extracting # 3 : cost 0 0.119 * * [simplify]: Extracting # 4 : cost 0 0.119 * * [simplify]: iteration 1 : 226 enodes (cost 974 ) 0.174 * * [simplify]: Extracting # 0 : cost 0 0.175 * * [simplify]: Extracting # 1 : cost 0 0.175 * * [simplify]: Extracting # 2 : cost 0 0.176 * * [simplify]: Extracting # 3 : cost 0 0.176 * * [simplify]: iteration 2 : 592 enodes (cost 943 ) 0.429 * * [simplify]: Extracting # 0 : cost 0 0.431 * * [simplify]: Extracting # 1 : cost 0 0.432 * * [simplify]: Extracting # 2 : cost 0 0.434 * * [simplify]: Extracting # 3 : cost 0 0.435 * * [simplify]: iteration 3 : 1531 enodes (cost 943 ) 1.661 * * [simplify]: Extracting # 0 : cost 0 1.667 * * [simplify]: Extracting # 1 : cost 0 1.672 * * [simplify]: Extracting # 2 : cost 0 1.682 * * [simplify]: Extracting # 3 : cost 0 1.687 * * [simplify]: Extracting # 4 : cost 0 1.692 * * [simplify]: iteration done: 5000 enodes (cost 942 ) 1.692 * [simplify]: Simplified to: (log (/ (+ x y) (+ y y))) (log (/ (+ x y) (+ y y))) (sqrt (exp (/ (+ x y) y))) (pow (/ (+ x y) (+ y y)) 3) (* (cbrt (/ (+ x y) (+ y y))) (cbrt (/ (+ x y) (+ y y)))) (cbrt (/ (+ x y) (+ y y))) (pow (/ (+ x y) (+ y y)) 3) (sqrt (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (- (+ x y)) (* -2 y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (cbrt (+ x y)) (cbrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ y y))) (/ (cbrt (+ x y)) (sqrt (+ y y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x y)) (* 2 (cbrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (* 2 (sqrt y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ y y)) (* (cbrt (+ x y)) (/ (cbrt (+ x y)) (cbrt y))) (/ (cbrt (+ x y)) (* 2 (* (cbrt y) (cbrt y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (* 2 (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) y) (/ (cbrt (+ x y)) 2) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (sqrt (+ x y)) (cbrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (* 2 (cbrt y))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (* 2 (sqrt y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (* 2 (* (cbrt y) (cbrt y)))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (* 2 (sqrt y))) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) 1 (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (* 2 (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (* 2 (sqrt y))) 1 (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (* 2 (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (* 2 (sqrt y))) (/ 1 y) (/ (+ x y) 2) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) 1 (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (* 2 (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (* 2 (sqrt y))) 1 (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (* 2 (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (* 2 (sqrt y))) (/ 1 y) (/ (+ x y) 2) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) (/ 1/2 y) (* (/ 2 (+ x y)) y) (/ (+ x y) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (sqrt (+ y y))) (+ x y) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (+ x y) (/ (+ x y) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (+ x y) y) (/ (+ x y) 2) (/ (+ x y) 2) (/ (+ x y) 2) (/ (+ y y) (cbrt (+ x y))) (/ (+ y y) (sqrt (+ x y))) (* (/ 2 (+ x y)) y) (* (/ 2 (+ x y)) y) (/ (+ x y) (* 2 (pow y 3))) (/ (+ x y) 0) (* (+ (* y (- y x)) (* x x)) (+ y y)) (* (+ y y) (- x y)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 1.693 * * * [progress]: adding candidates to table 1.791 * * [progress]: iteration 2 / 4 1.791 * * * [progress]: picking best candidate 1.792 * * * * [pick]: Picked # 1.792 * * * [progress]: localizing error 1.797 * * * [progress]: generating rewritten candidates 1.797 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 1.811 * * * [progress]: generating series expansions 1.811 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 1.811 * [backup-simplify]: Simplify (* 1/2 (/ x y)) into (* 1/2 (/ x y)) 1.811 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (x y) around 0 1.811 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.811 * [taylor]: Taking taylor expansion of 1/2 in y 1.811 * [backup-simplify]: Simplify 1/2 into 1/2 1.811 * [taylor]: Taking taylor expansion of (/ x y) in y 1.811 * [taylor]: Taking taylor expansion of x in y 1.811 * [backup-simplify]: Simplify x into x 1.811 * [taylor]: Taking taylor expansion of y in y 1.811 * [backup-simplify]: Simplify 0 into 0 1.811 * [backup-simplify]: Simplify 1 into 1 1.811 * [backup-simplify]: Simplify (/ x 1) into x 1.811 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.811 * [taylor]: Taking taylor expansion of 1/2 in x 1.811 * [backup-simplify]: Simplify 1/2 into 1/2 1.812 * [taylor]: Taking taylor expansion of (/ x y) in x 1.812 * [taylor]: Taking taylor expansion of x in x 1.812 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify 1 into 1 1.812 * [taylor]: Taking taylor expansion of y in x 1.812 * [backup-simplify]: Simplify y into y 1.812 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.812 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.812 * [taylor]: Taking taylor expansion of 1/2 in x 1.812 * [backup-simplify]: Simplify 1/2 into 1/2 1.812 * [taylor]: Taking taylor expansion of (/ x y) in x 1.812 * [taylor]: Taking taylor expansion of x in x 1.812 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify 1 into 1 1.812 * [taylor]: Taking taylor expansion of y in x 1.812 * [backup-simplify]: Simplify y into y 1.812 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.812 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 1.812 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.812 * [taylor]: Taking taylor expansion of 1/2 in y 1.812 * [backup-simplify]: Simplify 1/2 into 1/2 1.812 * [taylor]: Taking taylor expansion of y in y 1.812 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify 1 into 1 1.812 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.812 * [backup-simplify]: Simplify 1/2 into 1/2 1.813 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 1.813 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 1.813 * [taylor]: Taking taylor expansion of 0 in y 1.813 * [backup-simplify]: Simplify 0 into 0 1.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.813 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.814 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.814 * [taylor]: Taking taylor expansion of 0 in y 1.814 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.815 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.816 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 1.816 * [taylor]: Taking taylor expansion of 0 in y 1.816 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.816 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 y) x)) into (* 1/2 (/ x y)) 1.816 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 x) (/ 1 y))) into (* 1/2 (/ y x)) 1.816 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (x y) around 0 1.816 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 1.816 * [taylor]: Taking taylor expansion of 1/2 in y 1.816 * [backup-simplify]: Simplify 1/2 into 1/2 1.817 * [taylor]: Taking taylor expansion of (/ y x) in y 1.817 * [taylor]: Taking taylor expansion of y in y 1.817 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify 1 into 1 1.817 * [taylor]: Taking taylor expansion of x in y 1.817 * [backup-simplify]: Simplify x into x 1.817 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.817 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.817 * [taylor]: Taking taylor expansion of 1/2 in x 1.817 * [backup-simplify]: Simplify 1/2 into 1/2 1.817 * [taylor]: Taking taylor expansion of (/ y x) in x 1.817 * [taylor]: Taking taylor expansion of y in x 1.817 * [backup-simplify]: Simplify y into y 1.817 * [taylor]: Taking taylor expansion of x in x 1.817 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify 1 into 1 1.817 * [backup-simplify]: Simplify (/ y 1) into y 1.817 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.817 * [taylor]: Taking taylor expansion of 1/2 in x 1.817 * [backup-simplify]: Simplify 1/2 into 1/2 1.817 * [taylor]: Taking taylor expansion of (/ y x) in x 1.817 * [taylor]: Taking taylor expansion of y in x 1.817 * [backup-simplify]: Simplify y into y 1.817 * [taylor]: Taking taylor expansion of x in x 1.817 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify 1 into 1 1.817 * [backup-simplify]: Simplify (/ y 1) into y 1.817 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 1.817 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 1.817 * [taylor]: Taking taylor expansion of 1/2 in y 1.817 * [backup-simplify]: Simplify 1/2 into 1/2 1.817 * [taylor]: Taking taylor expansion of y in y 1.817 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify 1 into 1 1.818 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.818 * [backup-simplify]: Simplify 1/2 into 1/2 1.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 1.818 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 1.818 * [taylor]: Taking taylor expansion of 0 in y 1.818 * [backup-simplify]: Simplify 0 into 0 1.818 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.819 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.820 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 1.820 * [taylor]: Taking taylor expansion of 0 in y 1.820 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.821 * [backup-simplify]: Simplify 0 into 0 1.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.823 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.823 * [taylor]: Taking taylor expansion of 0 in y 1.823 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) into (* 1/2 (/ x y)) 1.823 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 (- x)) (/ 1 (- y)))) into (* 1/2 (/ y x)) 1.823 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (x y) around 0 1.823 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 1.823 * [taylor]: Taking taylor expansion of 1/2 in y 1.823 * [backup-simplify]: Simplify 1/2 into 1/2 1.824 * [taylor]: Taking taylor expansion of (/ y x) in y 1.824 * [taylor]: Taking taylor expansion of y in y 1.824 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify 1 into 1 1.824 * [taylor]: Taking taylor expansion of x in y 1.824 * [backup-simplify]: Simplify x into x 1.824 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.824 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.824 * [taylor]: Taking taylor expansion of 1/2 in x 1.824 * [backup-simplify]: Simplify 1/2 into 1/2 1.824 * [taylor]: Taking taylor expansion of (/ y x) in x 1.824 * [taylor]: Taking taylor expansion of y in x 1.824 * [backup-simplify]: Simplify y into y 1.824 * [taylor]: Taking taylor expansion of x in x 1.824 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify 1 into 1 1.824 * [backup-simplify]: Simplify (/ y 1) into y 1.824 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.824 * [taylor]: Taking taylor expansion of 1/2 in x 1.824 * [backup-simplify]: Simplify 1/2 into 1/2 1.824 * [taylor]: Taking taylor expansion of (/ y x) in x 1.824 * [taylor]: Taking taylor expansion of y in x 1.824 * [backup-simplify]: Simplify y into y 1.824 * [taylor]: Taking taylor expansion of x in x 1.824 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify 1 into 1 1.824 * [backup-simplify]: Simplify (/ y 1) into y 1.824 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 1.824 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 1.824 * [taylor]: Taking taylor expansion of 1/2 in y 1.824 * [backup-simplify]: Simplify 1/2 into 1/2 1.824 * [taylor]: Taking taylor expansion of y in y 1.824 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify 1 into 1 1.825 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.825 * [backup-simplify]: Simplify 1/2 into 1/2 1.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 1.825 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 1.825 * [taylor]: Taking taylor expansion of 0 in y 1.825 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify 0 into 0 1.826 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.826 * [backup-simplify]: Simplify 0 into 0 1.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.827 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 1.827 * [taylor]: Taking taylor expansion of 0 in y 1.827 * [backup-simplify]: Simplify 0 into 0 1.827 * [backup-simplify]: Simplify 0 into 0 1.827 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.828 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.830 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.830 * [taylor]: Taking taylor expansion of 0 in y 1.830 * [backup-simplify]: Simplify 0 into 0 1.830 * [backup-simplify]: Simplify 0 into 0 1.830 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) into (* 1/2 (/ x y)) 1.830 * * * [progress]: simplifying candidates 1.830 * [simplify]: Simplifying: (* 1/2 (/ x y)) (+ (log 1/2) (- (log x) (log y))) (+ (log 1/2) (log (/ x y))) (log (* 1/2 (/ x y))) (exp (* 1/2 (/ x y))) (* (* (* 1/2 1/2) 1/2) (/ (* (* x x) x) (* (* y y) y))) (* (* (* 1/2 1/2) 1/2) (* (* (/ x y) (/ x y)) (/ x y))) (* (cbrt (* 1/2 (/ x y))) (cbrt (* 1/2 (/ x y)))) (cbrt (* 1/2 (/ x y))) (* (* (* 1/2 (/ x y)) (* 1/2 (/ x y))) (* 1/2 (/ x y))) (sqrt (* 1/2 (/ x y))) (sqrt (* 1/2 (/ x y))) (* (sqrt 1/2) (sqrt (/ x y))) (* (sqrt 1/2) (sqrt (/ x y))) (* (sqrt 1/2) (/ (sqrt x) (sqrt y))) (* (sqrt 1/2) (/ (sqrt x) (sqrt y))) (* 1/2 (* (cbrt (/ x y)) (cbrt (/ x y)))) (* 1/2 (sqrt (/ x y))) (* 1/2 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* 1/2 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* 1/2 (/ (* (cbrt x) (cbrt x)) 1)) (* 1/2 (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* 1/2 (/ (sqrt x) (sqrt y))) (* 1/2 (/ (sqrt x) 1)) (* 1/2 (/ 1 (* (cbrt y) (cbrt y)))) (* 1/2 (/ 1 (sqrt y))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 x) (* (cbrt 1/2) (/ x y)) (* (sqrt 1/2) (/ x y)) (* 1/2 (/ x y)) (* 1/2 x) (* 1/2 (/ x y)) (* 1/2 (/ x y)) (* 1/2 (/ x y)) 1.831 * * [simplify]: Extracting # 0 : cost 0 1.831 * * [simplify]: Extracting # 1 : cost 0 1.831 * * [simplify]: Extracting # 2 : cost 0 1.831 * * [simplify]: Extracting # 3 : cost 0 1.831 * * [simplify]: Extracting # 4 : cost 0 1.831 * * [simplify]: Extracting # 5 : cost 0 1.831 * * [simplify]: Extracting # 6 : cost 0 1.832 * * [simplify]: Extracting # 7 : cost 0 1.832 * * [simplify]: iteration 0 : 68 enodes (cost 277 ) 1.852 * * [simplify]: Extracting # 0 : cost 0 1.853 * * [simplify]: Extracting # 1 : cost 0 1.853 * * [simplify]: Extracting # 2 : cost 0 1.853 * * [simplify]: iteration 1 : 162 enodes (cost 250 ) 1.887 * * [simplify]: Extracting # 0 : cost 0 1.888 * * [simplify]: Extracting # 1 : cost 0 1.888 * * [simplify]: Extracting # 2 : cost 0 1.889 * * [simplify]: Extracting # 3 : cost 0 1.889 * * [simplify]: Extracting # 4 : cost 0 1.889 * * [simplify]: iteration 2 : 426 enodes (cost 230 ) 2.060 * * [simplify]: Extracting # 0 : cost 0 2.062 * * [simplify]: Extracting # 1 : cost 0 2.063 * * [simplify]: Extracting # 2 : cost 0 2.064 * * [simplify]: Extracting # 3 : cost 0 2.065 * * [simplify]: Extracting # 4 : cost 0 2.066 * * [simplify]: iteration 3 : 1067 enodes (cost 229 ) 2.930 * * [simplify]: Extracting # 0 : cost 0 2.934 * * [simplify]: Extracting # 1 : cost 0 2.936 * * [simplify]: Extracting # 2 : cost 0 2.938 * * [simplify]: Extracting # 3 : cost 0 2.941 * * [simplify]: Extracting # 4 : cost 0 2.943 * * [simplify]: iteration 4 : 2498 enodes (cost 229 ) 5.993 * * [simplify]: Extracting # 0 : cost 0 6.001 * * [simplify]: Extracting # 1 : cost 0 6.009 * * [simplify]: Extracting # 2 : cost 0 6.013 * * [simplify]: Extracting # 3 : cost 0 6.017 * * [simplify]: Extracting # 4 : cost 0 6.021 * * [simplify]: iteration done: 5000 enodes (cost 229 ) 6.021 * [simplify]: Simplified to: (* 1/2 (/ x y)) (log (* 1/2 (/ x y))) (log (* 1/2 (/ x y))) (log (* 1/2 (/ x y))) (sqrt (exp (/ x y))) (pow (* 1/2 (/ x y)) 3) (pow (* 1/2 (/ x y)) 3) (* (cbrt (* 1/2 (/ x y))) (cbrt (* 1/2 (/ x y)))) (cbrt (* 1/2 (/ x y))) (pow (* 1/2 (/ x y)) 3) (sqrt (* 1/2 (/ x y))) (sqrt (* 1/2 (/ x y))) (* (sqrt 1/2) (sqrt (/ x y))) (* (sqrt 1/2) (sqrt (/ x y))) (* (sqrt 1/2) (/ (sqrt x) (sqrt y))) (* (sqrt 1/2) (/ (sqrt x) (sqrt y))) (* 1/2 (* (cbrt (/ x y)) (cbrt (/ x y)))) (* 1/2 (sqrt (/ x y))) (* 1/2 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* 1/2 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* 1/2 (* (cbrt x) (cbrt x))) (* 1/2 (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* 1/2 (/ (sqrt x) (sqrt y))) (* 1/2 (sqrt x)) (/ 1/2 (* (cbrt y) (cbrt y))) (/ 1/2 (sqrt y)) 1/2 1/2 (* 1/2 x) (* (cbrt 1/2) (/ x y)) (* (sqrt 1/2) (/ x y)) (* 1/2 (/ x y)) (* 1/2 x) (* 1/2 (/ x y)) (* 1/2 (/ x y)) (* 1/2 (/ x y)) 6.022 * * * [progress]: adding candidates to table 6.073 * [progress]: [Phase 3 of 3] Extracting. 6.074 * [simplify]: Simplifying: (+ (* 1/2 (/ x y)) 1/2) 6.074 * * [simplify]: Extracting # 0 : cost 0 6.075 * * [simplify]: Extracting # 1 : cost 0 6.075 * * [simplify]: Extracting # 2 : cost 0 6.075 * * [simplify]: Extracting # 3 : cost 0 6.075 * * [simplify]: Extracting # 4 : cost 0 6.075 * * [simplify]: Extracting # 5 : cost 0 6.075 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 6.075 * * [simplify]: Extracting # 0 : cost 0 6.075 * * [simplify]: iteration 1 : 8 enodes (cost 7 ) 6.075 * * [simplify]: Extracting # 0 : cost 0 6.075 * * [simplify]: iteration done: 8 enodes (cost 7 ) 6.075 * [simplify]: Simplified to: (+ (* 1/2 (/ x y)) 1/2) 6.454 * [regime-testing]: End program error score: 0.01864857169664237 6.472 * [regime-testing]: Target error score: 0.01864857169664237