0.819 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying using # : (/ (+ x y) (- x y)) 0.013 * * [simplify]: iteration 0 : 5 enodes (cost 7 ) 0.014 * * [simplify]: iteration 1 : 8 enodes (cost 7 ) 0.015 * * [simplify]: iteration 2 : 9 enodes (cost 7 ) 0.016 * * [simplify]: iteration done : 9 enodes (cost 7 ) 0.016 * [simplify]: Simplified to: (/ (+ x y) (- x y)) 0.016 * * [progress]: iteration 1 / 4 0.016 * * * [progress]: picking best candidate 0.018 * * * * [pick]: Picked # 0.018 * * * [progress]: localizing error 0.023 * * * [progress]: generating rewritten candidates 0.023 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.035 * * * [progress]: generating series expansions 0.035 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.035 * [approximate]: Taking taylor expansion of (/ (+ x y) (- x y)) in (x y) around 0 0.036 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in y 0.036 * [taylor]: Taking taylor expansion of (+ x y) in y 0.036 * [taylor]: Taking taylor expansion of x in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of (- x y) in y 0.036 * [taylor]: Taking taylor expansion of x in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.036 * [taylor]: Taking taylor expansion of (+ x y) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of (- x y) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.036 * [taylor]: Taking taylor expansion of (+ x y) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of (- x y) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of -1 in y 0.038 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.038 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.038 * [taylor]: Taking taylor expansion of 2 in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.043 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.043 * [taylor]: Taking taylor expansion of 2 in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 0.049 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.049 * [taylor]: Taking taylor expansion of 2 in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.049 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.055 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in (x y) around 0 0.055 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in y 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.055 * [taylor]: Taking taylor expansion of x in y 0.055 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.055 * [taylor]: Taking taylor expansion of x in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of 1 in y 0.061 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.061 * [taylor]: Taking taylor expansion of 2 in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.065 * [taylor]: Taking taylor expansion of 2 in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.072 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.072 * [taylor]: Taking taylor expansion of 2 in y 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.072 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.078 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.078 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.078 * [taylor]: Taking taylor expansion of -1 in y 0.078 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.078 * [taylor]: Taking taylor expansion of x in y 0.078 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.078 * [taylor]: Taking taylor expansion of x in y 0.079 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.079 * [taylor]: Taking taylor expansion of -1 in x 0.079 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.081 * [taylor]: Taking taylor expansion of -1 in x 0.081 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.082 * [taylor]: Taking taylor expansion of y in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of 1 in y 0.085 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.085 * [taylor]: Taking taylor expansion of 2 in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.089 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.089 * [taylor]: Taking taylor expansion of 2 in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.096 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.096 * [taylor]: Taking taylor expansion of 2 in y 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.096 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.096 * [taylor]: Taking taylor expansion of y in y 0.102 * * * [progress]: simplifying candidates 0.103 * [simplify]: Simplifying using # : (expm1 (/ (+ x y) (- x y))) (log1p (/ (+ x y) (- x y))) (- (log (+ x y)) (log (- x y))) (log (/ (+ x y) (- x y))) (exp (/ (+ x y) (- x y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y)))) (cbrt (/ (+ x y) (- x y))) (* (* (/ (+ x y) (- x y)) (/ (+ x y) (- x y))) (/ (+ x y) (- x y))) (sqrt (/ (+ x y) (- x y))) (sqrt (/ (+ x y) (- x y))) (- (+ x y)) (- (- x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (cbrt (+ x y)) (cbrt (- x y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (- x y))) (/ (cbrt (+ x y)) (sqrt (- x y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (- x y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ (sqrt x) (sqrt y))) (/ (cbrt (+ x y)) (- (sqrt x) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (- x y)) (/ (sqrt (+ x y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt (+ x y)) (cbrt (- x y))) (/ (sqrt (+ x y)) (sqrt (- x y))) (/ (sqrt (+ x y)) (sqrt (- x y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (- x y)) (/ (sqrt (+ x y)) (+ (sqrt x) (sqrt y))) (/ (sqrt (+ x y)) (- (sqrt x) (sqrt y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ (+ x y) (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ (+ x y) (sqrt (- x y))) (/ 1 1) (/ (+ x y) (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ (+ x y) (- (sqrt x) (sqrt y))) (/ 1 1) (/ (+ x y) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ (+ x y) (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ (+ x y) (sqrt (- x y))) (/ 1 1) (/ (+ x y) (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ (+ x y) (- (sqrt x) (sqrt y))) (/ 1 1) (/ (+ x y) (- x y)) (/ 1 (- x y)) (/ (- x y) (+ x y)) (/ (+ x y) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (+ x y) (sqrt (- x y))) (/ (+ x y) 1) (/ (+ x y) (+ (sqrt x) (sqrt y))) (/ (+ x y) 1) (/ (- x y) (cbrt (+ x y))) (/ (- x y) (sqrt (+ x y))) (/ (- x y) (+ x y)) (/ (- x y) (+ x y)) (/ (+ x y) (- (pow x 3) (pow y 3))) (/ (+ x y) (- (* x x) (* y y))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (- x y)) -1 1 1 0.105 * * [simplify]: iteration 0 : 78 enodes (cost 606 ) 0.119 * * [simplify]: iteration 1 : 175 enodes (cost 582 ) 0.145 * * [simplify]: iteration 2 : 439 enodes (cost 554 )