0.183 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (/ (- x y) (- 2.0 (+ x y))) 0.016 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 0.017 * * [simplify]: iteration 1 : 17 enodes (cost 9 ) 0.019 * * [simplify]: iteration 2 : 28 enodes (cost 9 ) 0.023 * * [simplify]: iteration 3 : 40 enodes (cost 9 ) 0.027 * * [simplify]: iteration 4 : 51 enodes (cost 9 ) 0.034 * * [simplify]: iteration 5 : 69 enodes (cost 9 ) 0.042 * * [simplify]: iteration 6 : 103 enodes (cost 9 ) 0.061 * * [simplify]: iteration 7 : 128 enodes (cost 9 ) 0.079 * * [simplify]: iteration 8 : 135 enodes (cost 9 ) 0.101 * * [simplify]: iteration 9 : 143 enodes (cost 9 ) 0.122 * * [simplify]: iteration 10 : 148 enodes (cost 9 ) 0.143 * * [simplify]: iteration 11 : 150 enodes (cost 9 ) 0.168 * * [simplify]: iteration 12 : 152 enodes (cost 9 ) 0.191 * * [simplify]: iteration done : 152 enodes (cost 9 ) 0.191 * [simplify]: Simplified to: (/ (- x y) (- 2.0 (+ x y))) 0.191 * * [progress]: iteration 1 / 4 0.191 * * * [progress]: picking best candidate 0.193 * * * * [pick]: Picked # 0.193 * * * [progress]: localizing error 0.199 * * * [progress]: generating rewritten candidates 0.199 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.230 * * * [progress]: generating series expansions 0.230 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.230 * [approximate]: Taking taylor expansion of (/ (- x y) (- 2.0 (+ x y))) in (x y) around 0 0.230 * [taylor]: Taking taylor expansion of (/ (- x y) (- 2.0 (+ x y))) in y 0.230 * [taylor]: Taking taylor expansion of (- x y) in y 0.230 * [taylor]: Taking taylor expansion of x in y 0.230 * [taylor]: Taking taylor expansion of y in y 0.230 * [taylor]: Taking taylor expansion of (- 2.0 (+ x y)) in y 0.230 * [taylor]: Taking taylor expansion of 2.0 in y 0.230 * [taylor]: Taking taylor expansion of (+ x y) in y 0.230 * [taylor]: Taking taylor expansion of x in y 0.230 * [taylor]: Taking taylor expansion of y in y 0.231 * [taylor]: Taking taylor expansion of (/ (- x y) (- 2.0 (+ x y))) in x 0.231 * [taylor]: Taking taylor expansion of (- x y) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of y in x 0.231 * [taylor]: Taking taylor expansion of (- 2.0 (+ x y)) in x 0.231 * [taylor]: Taking taylor expansion of 2.0 in x 0.231 * [taylor]: Taking taylor expansion of (+ x y) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of y in x 0.232 * [taylor]: Taking taylor expansion of (/ (- x y) (- 2.0 (+ x y))) in x 0.232 * [taylor]: Taking taylor expansion of (- x y) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of y in x 0.232 * [taylor]: Taking taylor expansion of (- 2.0 (+ x y)) in x 0.232 * [taylor]: Taking taylor expansion of 2.0 in x 0.232 * [taylor]: Taking taylor expansion of (+ x y) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of y in x 0.232 * [taylor]: Taking taylor expansion of (* -1 (/ y (- 2.0 y))) in y 0.232 * [taylor]: Taking taylor expansion of -1 in y 0.232 * [taylor]: Taking taylor expansion of (/ y (- 2.0 y)) in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.232 * [taylor]: Taking taylor expansion of (- 2.0 y) in y 0.232 * [taylor]: Taking taylor expansion of 2.0 in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.235 * [taylor]: Taking taylor expansion of (- (/ 1 (- 2.0 y)) (/ y (pow (- 2.0 y) 2))) in y 0.235 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 y)) in y 0.235 * [taylor]: Taking taylor expansion of (- 2.0 y) in y 0.235 * [taylor]: Taking taylor expansion of 2.0 in y 0.235 * [taylor]: Taking taylor expansion of y in y 0.236 * [taylor]: Taking taylor expansion of (/ y (pow (- 2.0 y) 2)) in y 0.236 * [taylor]: Taking taylor expansion of y in y 0.236 * [taylor]: Taking taylor expansion of (pow (- 2.0 y) 2) in y 0.236 * [taylor]: Taking taylor expansion of (- 2.0 y) in y 0.236 * [taylor]: Taking taylor expansion of 2.0 in y 0.236 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of (- (/ 1 (pow (- 2.0 y) 2)) (/ y (pow (- 2.0 y) 3))) in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow (- 2.0 y) 2)) in y 0.240 * [taylor]: Taking taylor expansion of (pow (- 2.0 y) 2) in y 0.240 * [taylor]: Taking taylor expansion of (- 2.0 y) in y 0.240 * [taylor]: Taking taylor expansion of 2.0 in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.241 * [taylor]: Taking taylor expansion of (/ y (pow (- 2.0 y) 3)) in y 0.241 * [taylor]: Taking taylor expansion of y in y 0.241 * [taylor]: Taking taylor expansion of (pow (- 2.0 y) 3) in y 0.242 * [taylor]: Taking taylor expansion of (- 2.0 y) in y 0.242 * [taylor]: Taking taylor expansion of 2.0 in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.244 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (- 2.0 (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.244 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (- 2.0 (+ (/ 1 y) (/ 1 x)))) in y 0.244 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.244 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.244 * [taylor]: Taking taylor expansion of x in y 0.244 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.244 * [taylor]: Taking taylor expansion of y in y 0.245 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 y) (/ 1 x))) in y 0.245 * [taylor]: Taking taylor expansion of 2.0 in y 0.245 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.245 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.245 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.245 * [taylor]: Taking taylor expansion of x in y 0.247 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (- 2.0 (+ (/ 1 y) (/ 1 x)))) in x 0.247 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.247 * [taylor]: Taking taylor expansion of y in x 0.247 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 y) (/ 1 x))) in x 0.247 * [taylor]: Taking taylor expansion of 2.0 in x 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.247 * [taylor]: Taking taylor expansion of y in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (- 2.0 (+ (/ 1 y) (/ 1 x)))) in x 0.249 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.250 * [taylor]: Taking taylor expansion of y in x 0.250 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 y) (/ 1 x))) in x 0.250 * [taylor]: Taking taylor expansion of 2.0 in x 0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.250 * [taylor]: Taking taylor expansion of y in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of -1 in y 0.253 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y)) 2.0) in y 0.253 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.253 * [taylor]: Taking taylor expansion of 2 in y 0.253 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.253 * [taylor]: Taking taylor expansion of y in y 0.254 * [taylor]: Taking taylor expansion of 2.0 in y 0.260 * [taylor]: Taking taylor expansion of (- (* 6.0 (/ 1 y)) (+ (* 2 (/ 1 (pow y 2))) 4.0)) in y 0.260 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 y)) in y 0.260 * [taylor]: Taking taylor expansion of 6.0 in y 0.260 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.260 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) 4.0) in y 0.260 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.260 * [taylor]: Taking taylor expansion of 2 in y 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.260 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.261 * [taylor]: Taking taylor expansion of 4.0 in y 0.267 * [approximate]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 y) (+ (/ 1 x) 2.0))) in (x y) around 0 0.267 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 y) (+ (/ 1 x) 2.0))) in y 0.267 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.267 * [taylor]: Taking taylor expansion of x in y 0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (+ (/ 1 x) 2.0)) in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.268 * [taylor]: Taking taylor expansion of x in y 0.268 * [taylor]: Taking taylor expansion of 2.0 in y 0.269 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 y) (+ (/ 1 x) 2.0))) in x 0.269 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.269 * [taylor]: Taking taylor expansion of y in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (+ (/ 1 x) 2.0)) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of 2.0 in x 0.272 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 y) (+ (/ 1 x) 2.0))) in x 0.272 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.272 * [taylor]: Taking taylor expansion of y in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (+ (/ 1 x) 2.0)) in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.272 * [taylor]: Taking taylor expansion of y in x 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of 2.0 in x 0.274 * [taylor]: Taking taylor expansion of -1 in y 0.276 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) 2.0) in y 0.276 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.276 * [taylor]: Taking taylor expansion of 2 in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of 2.0 in y 0.281 * [taylor]: Taking taylor expansion of (- (+ (* 6.0 (/ 1 y)) (+ (* 2 (/ 1 (pow y 2))) 4.0))) in y 0.281 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 y)) (+ (* 2 (/ 1 (pow y 2))) 4.0)) in y 0.281 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 y)) in y 0.281 * [taylor]: Taking taylor expansion of 6.0 in y 0.281 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.281 * [taylor]: Taking taylor expansion of y in y 0.281 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) 4.0) in y 0.281 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.281 * [taylor]: Taking taylor expansion of 2 in y 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.281 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.281 * [taylor]: Taking taylor expansion of y in y 0.282 * [taylor]: Taking taylor expansion of 4.0 in y 0.286 * * * [progress]: simplifying candidates 0.287 * [simplify]: Simplifying using # : (expm1 (/ (- x y) (- 2.0 (+ x y)))) (log1p (/ (- x y) (- 2.0 (+ x y)))) (- (log (- x y)) (log (- 2.0 (+ x y)))) (log (/ (- x y) (- 2.0 (+ x y)))) (exp (/ (- x y) (- 2.0 (+ x y)))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (- 2.0 (+ x y)) (- 2.0 (+ x y))) (- 2.0 (+ x y)))) (* (cbrt (/ (- x y) (- 2.0 (+ x y)))) (cbrt (/ (- x y) (- 2.0 (+ x y))))) (cbrt (/ (- x y) (- 2.0 (+ x y)))) (* (* (/ (- x y) (- 2.0 (+ x y))) (/ (- x y) (- 2.0 (+ x y)))) (/ (- x y) (- 2.0 (+ x y)))) (sqrt (/ (- x y) (- 2.0 (+ x y)))) (sqrt (/ (- x y) (- 2.0 (+ x y)))) (- (- x y)) (- (- 2.0 (+ x y))) (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- 2.0 (+ x y))) (cbrt (- 2.0 (+ x y))))) (/ (cbrt (- x y)) (cbrt (- 2.0 (+ x y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt (- 2.0 (+ x y)))) (/ (cbrt (- x y)) (sqrt (- 2.0 (+ x y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (/ (cbrt (- x y)) (- 2.0 (+ x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (+ (sqrt 2.0) (sqrt (+ x y)))) (/ (cbrt (- x y)) (- (sqrt 2.0) (sqrt (+ x y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (/ (cbrt (- x y)) (- 2.0 (+ x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (/ (cbrt (- x y)) (- 2.0 (+ x y))) (/ (sqrt (- x y)) (* (cbrt (- 2.0 (+ x y))) (cbrt (- 2.0 (+ x y))))) (/ (sqrt (- x y)) (cbrt (- 2.0 (+ x y)))) (/ (sqrt (- x y)) (sqrt (- 2.0 (+ x y)))) (/ (sqrt (- x y)) (sqrt (- 2.0 (+ x y)))) (/ (sqrt (- x y)) 1) (/ (sqrt (- x y)) (- 2.0 (+ x y))) (/ (sqrt (- x y)) (+ (sqrt 2.0) (sqrt (+ x y)))) (/ (sqrt (- x y)) (- (sqrt 2.0) (sqrt (+ x y)))) (/ (sqrt (- x y)) 1) (/ (sqrt (- x y)) (- 2.0 (+ x y))) (/ (sqrt (- x y)) 1) (/ (sqrt (- x y)) (- 2.0 (+ x y))) (/ 1 (* (cbrt (- 2.0 (+ x y))) (cbrt (- 2.0 (+ x y))))) (/ (- x y) (cbrt (- 2.0 (+ x y)))) (/ 1 (sqrt (- 2.0 (+ x y)))) (/ (- x y) (sqrt (- 2.0 (+ x y)))) (/ 1 1) (/ (- x y) (- 2.0 (+ x y))) (/ 1 (+ (sqrt 2.0) (sqrt (+ x y)))) (/ (- x y) (- (sqrt 2.0) (sqrt (+ x y)))) (/ 1 1) (/ (- x y) (- 2.0 (+ x y))) (/ 1 1) (/ (- x y) (- 2.0 (+ x y))) (/ (+ (sqrt x) (sqrt y)) (* (cbrt (- 2.0 (+ x y))) (cbrt (- 2.0 (+ x y))))) (/ (- (sqrt x) (sqrt y)) (cbrt (- 2.0 (+ x y)))) (/ (+ (sqrt x) (sqrt y)) (sqrt (- 2.0 (+ x y)))) (/ (- (sqrt x) (sqrt y)) (sqrt (- 2.0 (+ x y)))) (/ (+ (sqrt x) (sqrt y)) 1) (/ (- (sqrt x) (sqrt y)) (- 2.0 (+ x y))) (/ (+ (sqrt x) (sqrt y)) (+ (sqrt 2.0) (sqrt (+ x y)))) (/ (- (sqrt x) (sqrt y)) (- (sqrt 2.0) (sqrt (+ x y)))) (/ (+ (sqrt x) (sqrt y)) 1) (/ (- (sqrt x) (sqrt y)) (- 2.0 (+ x y))) (/ (+ (sqrt x) (sqrt y)) 1) (/ (- (sqrt x) (sqrt y)) (- 2.0 (+ x y))) (/ 1 (* (cbrt (- 2.0 (+ x y))) (cbrt (- 2.0 (+ x y))))) (/ (- x y) (cbrt (- 2.0 (+ x y)))) (/ 1 (sqrt (- 2.0 (+ x y)))) (/ (- x y) (sqrt (- 2.0 (+ x y)))) (/ 1 1) (/ (- x y) (- 2.0 (+ x y))) (/ 1 (+ (sqrt 2.0) (sqrt (+ x y)))) (/ (- x y) (- (sqrt 2.0) (sqrt (+ x y)))) (/ 1 1) (/ (- x y) (- 2.0 (+ x y))) (/ 1 1) (/ (- x y) (- 2.0 (+ x y))) (/ 1 (- 2.0 (+ x y))) (/ (- 2.0 (+ x y)) (- x y)) (/ (- x y) (* (cbrt (- 2.0 (+ x y))) (cbrt (- 2.0 (+ x y))))) (/ (- x y) (sqrt (- 2.0 (+ x y)))) (/ (- x y) 1) (/ (- x y) (+ (sqrt 2.0) (sqrt (+ x y)))) (/ (- x y) 1) (/ (- x y) 1) (/ (- 2.0 (+ x y)) (cbrt (- x y))) (/ (- 2.0 (+ x y)) (sqrt (- x y))) (/ (- 2.0 (+ x y)) (- x y)) (/ (- 2.0 (+ x y)) (- (sqrt x) (sqrt y))) (/ (- 2.0 (+ x y)) (- x y)) (/ (- x y) (- (pow 2.0 3) (pow (+ x y) 3))) (/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (* (- 2.0 (+ x y)) (+ (* x x) (+ (* y y) (* x y)))) (* (- 2.0 (+ x y)) (+ x y)) (- (+ (* 0.25 (pow x 2)) (* 0.5 x)) (* 0.5 y)) (- (+ (* 4.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1))) (- (+ (* 4.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1))) 0.291 * * [simplify]: iteration 0 : 114 enodes (cost 1010 ) 0.312 * * [simplify]: iteration 1 : 283 enodes (cost 965 )