26.966 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying using # : (/ (- x y) (* (* x 2.0) y)) 0.024 * * [simplify]: iteration 0 : 18 enodes (cost 4 ) 0.025 * * [simplify]: iteration 1 : 48 enodes (cost 4 ) 0.026 * * [simplify]: iteration 2 : 106 enodes (cost 4 ) 0.028 * * [simplify]: iteration 3 : 174 enodes (cost 4 ) 0.030 * * [simplify]: iteration 4 : 198 enodes (cost 4 ) 0.032 * * [simplify]: iteration 5 : 203 enodes (cost 4 ) 0.034 * * [simplify]: iteration 6 : 203 enodes (cost 4 ) 0.034 * [simplify]: Simplified to: (/ (- x y) (* (* x 2.0) y)) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.037 * * * * [pick]: Picked # 0.037 * * * [progress]: localizing error 0.042 * * * [progress]: generating rewritten candidates 0.042 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.051 * * * [progress]: generating series expansions 0.051 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.051 * [approximate]: Approximating (* 0.5 (/ (- x y) (* x y))) in (x y) around 0 0.053 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in y 0.055 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in y 0.058 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in y 0.062 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in y 0.067 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in y 0.067 * [approximate]: Approximating (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.070 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.071 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.075 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.080 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.086 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.093 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.094 * [approximate]: Approximating (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.096 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.101 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.104 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.108 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.115 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.122 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.123 * * * [progress]: simplifying candidates 0.123 * [simplify]: Simplifying using # : (- (log (- x y)) (+ (+ (log x) (log 2.0)) (log y))) (- (log (- x y)) (+ (log (* x 2.0)) (log y))) (- (log (- x y)) (log (* (* x 2.0) y))) (log (/ (- x y) (* (* x 2.0) y))) (exp (/ (- x y) (* (* x 2.0) y))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* y y) y))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* y y) y))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x 2.0) y))) (* (cbrt (/ (- x y) (* (* x 2.0) y))) (cbrt (/ (- x y) (* (* x 2.0) y)))) (cbrt (/ (- x y) (* (* x 2.0) y))) (* (* (/ (- x y) (* (* x 2.0) y)) (/ (- x y) (* (* x 2.0) y))) (/ (- x y) (* (* x 2.0) y))) (sqrt (/ (- x y) (* (* x 2.0) y))) (sqrt (/ (- x y) (* (* x 2.0) y))) (neg (- x y)) (neg (* (* x 2.0) y)) (/ x (* (* x 2.0) y)) (/ y (* (* x 2.0) y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* x 2.0)) (/ (cbrt (- x y)) y) (/ (sqrt (- x y)) (* x 2.0)) (/ (sqrt (- x y)) y) (/ 1 (* x 2.0)) (/ (- x y) y) (/ (+ (sqrt x) (sqrt y)) (* x 2.0)) (/ (- (sqrt x) (sqrt y)) y) (/ 1 (* x 2.0)) (/ (- x y) y) (/ 1 (* (* x 2.0) y)) (/ (* (* x 2.0) y) (- x y)) (/ (- x y) (* x 2.0)) (/ (* (* x 2.0) y) (cbrt (- x y))) (/ (* (* x 2.0) y) (sqrt (- x y))) (/ (* (* x 2.0) y) (- x y)) (/ (* (* x 2.0) y) (- (sqrt x) (sqrt y))) (/ (* (* x 2.0) y) (- x y)) (* (* (* x 2.0) y) (+ (* x x) (+ (* y y) (* x y)))) (* (* (* x 2.0) y) (+ x y)) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.126 * * [simplify]: iteration 0 : 237 enodes (cost 209 ) 0.131 * * [simplify]: iteration 1 : 976 enodes (cost 172 ) 0.149 * * [simplify]: iteration 2 : 5002 enodes (cost 171 ) 0.151 * [simplify]: Simplified to: (log (/ (- x y) (* (* x 2.0) y))) (log (/ (- x y) (* (* x 2.0) y))) (log (/ (- x y) (* (* x 2.0) y))) (log (/ (- x y) (* (* x 2.0) y))) (exp (/ (- x y) (* (* x 2.0) y))) (pow (/ (- x y) (* (* x 2.0) y)) 3) (pow (/ (- x y) (* (* x 2.0) y)) 3) (pow (/ (- x y) (* (* x 2.0) y)) 3) (* (cbrt (/ (- x y) (* (* x 2.0) y))) (cbrt (/ (- x y) (* (* x 2.0) y)))) (cbrt (/ (- x y) (* (* x 2.0) y))) (pow (/ (- x y) (* (* x 2.0) y)) 3) (sqrt (/ (- x y) (* (* x 2.0) y))) (sqrt (/ (- x y) (* (* x 2.0) y))) (neg (- x y)) (neg (* (* x 2.0) y)) (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* x 2.0)) (/ (cbrt (- x y)) y) (/ (sqrt (- x y)) (* x 2.0)) (/ (sqrt (- x y)) y) (/ 1 (* x 2.0)) (/ (- x y) y) (/ (+ (sqrt x) (sqrt y)) (* x 2.0)) (/ (- (sqrt x) (sqrt y)) y) (/ 1 (* x 2.0)) (/ (- x y) y) (/ 1 (* (* x 2.0) y)) (/ (* (* x 2.0) y) (- x y)) (/ (- x y) (* x 2.0)) (/ (* (* x 2.0) y) (cbrt (- x y))) (/ (* (* x 2.0) y) (sqrt (- x y))) (/ (* (* x 2.0) y) (- x y)) (/ (* (* x 2.0) y) (- (sqrt x) (sqrt y))) (/ (* (* x 2.0) y) (- x y)) (* (+ (* y (+ y x)) (* x x)) (* (* x 2.0) y)) (* (* (* x 2.0) y) (+ x y)) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) 0.151 * * * [progress]: adding candidates to table 0.204 * * [progress]: iteration 2 / 4 0.204 * * * [progress]: picking best candidate 0.207 * * * * [pick]: Picked # 0.207 * * * [progress]: localizing error 0.212 * * * [progress]: generating rewritten candidates 0.212 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.226 * * * [progress]: generating series expansions 0.227 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.227 * [approximate]: Approximating (- (/ 1 y) (/ 1 x)) in (y x) around 0 0.228 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.229 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.231 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.233 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.235 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.235 * [approximate]: Approximating (- y x) in (y x) around 0 0.236 * [taylor]: Taking taylor expansion of (- y x) in x 0.236 * [taylor]: Taking taylor expansion of (- y x) in x 0.237 * [taylor]: Taking taylor expansion of (- y x) in x 0.238 * [taylor]: Taking taylor expansion of (- y x) in x 0.239 * [approximate]: Approximating (- x y) in (y x) around 0 0.239 * [taylor]: Taking taylor expansion of (- x y) in x 0.240 * [taylor]: Taking taylor expansion of (- x y) in x 0.241 * [taylor]: Taking taylor expansion of (- x y) in x 0.241 * [taylor]: Taking taylor expansion of (- x y) in x 0.241 * * * [progress]: simplifying candidates 0.242 * [simplify]: Simplifying using # : (/ (exp (/ 1 y)) (exp (/ 1 x))) (log (- (/ 1 y) (/ 1 x))) (exp (- (/ 1 y) (/ 1 x))) (* (cbrt (- (/ 1 y) (/ 1 x))) (cbrt (- (/ 1 y) (/ 1 x)))) (cbrt (- (/ 1 y) (/ 1 x))) (* (* (- (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (- (/ 1 y) (/ 1 x))) (sqrt (- (/ 1 y) (/ 1 x))) (sqrt (- (/ 1 y) (/ 1 x))) (- (* 1 x) (* y 1)) (* y x) (- (pow (/ 1 y) 3) (pow (/ 1 x) 3)) (+ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 x)))) (neg (/ 1 x)) (- (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) (+ (/ 1 y) (/ 1 x)) (+ (sqrt (/ 1 y)) (sqrt (/ 1 x))) (- (sqrt (/ 1 y)) (sqrt (/ 1 x))) (+ (sqrt (/ 1 y)) (/ (sqrt 1) (sqrt x))) (- (sqrt (/ 1 y)) (/ (sqrt 1) (sqrt x))) (+ (sqrt (/ 1 y)) (/ 1 (sqrt x))) (- (sqrt (/ 1 y)) (/ 1 (sqrt x))) (+ (/ (sqrt 1) (sqrt y)) (sqrt (/ 1 x))) (- (/ (sqrt 1) (sqrt y)) (sqrt (/ 1 x))) (+ (/ (sqrt 1) (sqrt y)) (/ (sqrt 1) (sqrt x))) (- (/ (sqrt 1) (sqrt y)) (/ (sqrt 1) (sqrt x))) (+ (/ (sqrt 1) (sqrt y)) (/ 1 (sqrt x))) (- (/ (sqrt 1) (sqrt y)) (/ 1 (sqrt x))) (+ (/ 1 (sqrt y)) (sqrt (/ 1 x))) (- (/ 1 (sqrt y)) (sqrt (/ 1 x))) (+ (/ 1 (sqrt y)) (/ (sqrt 1) (sqrt x))) (- (/ 1 (sqrt y)) (/ (sqrt 1) (sqrt x))) (+ (/ 1 (sqrt y)) (/ 1 (sqrt x))) (- (/ 1 (sqrt y)) (/ 1 (sqrt x))) (- (/ (cbrt 1) y) (/ (cbrt 1) x)) (- (/ (sqrt 1) y) (/ (sqrt 1) x)) (- (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)) (neg (/ 1 x)) (- (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)) 0.245 * * [simplify]: iteration 0 : 139 enodes (cost 209 ) 0.247 * * [simplify]: iteration 1 : 372 enodes (cost 199 ) 0.253 * * [simplify]: iteration 2 : 1020 enodes (cost 183 ) 0.266 * * [simplify]: iteration 3 : 2636 enodes (cost 183 ) 0.300 * * [simplify]: iteration 4 : 5001 enodes (cost 183 ) 0.301 * [simplify]: Simplified to: (exp (- (/ 1 y) (/ 1 x))) (log (- (/ 1 y) (/ 1 x))) (exp (- (/ 1 y) (/ 1 x))) (* (cbrt (- (/ 1 y) (/ 1 x))) (cbrt (- (/ 1 y) (/ 1 x)))) (cbrt (- (/ 1 y) (/ 1 x))) (pow (- (/ 1 y) (/ 1 x)) 3) (sqrt (- (/ 1 y) (/ 1 x))) (sqrt (- (/ 1 y) (/ 1 x))) (+ x (neg y)) (* y x) (- (pow (/ 1 y) 3) (pow (/ 1 x) 3)) (+ (/ (/ 1 x) x) (/ (+ (/ 1 y) (/ 1 x)) y)) (/ -1 x) (+ (* (/ -1 x) (/ 1 x)) (/ (/ 1 y) y)) (+ (/ 1 y) (/ 1 x)) (+ (sqrt (/ 1 y)) (sqrt (/ 1 x))) (- (sqrt (/ 1 y)) (sqrt (/ 1 x))) (+ (sqrt (/ 1 y)) (/ 1 (sqrt x))) (- (sqrt (/ 1 y)) (/ 1 (sqrt x))) (+ (sqrt (/ 1 y)) (/ 1 (sqrt x))) (- (sqrt (/ 1 y)) (/ 1 (sqrt x))) (+ (/ 1 (sqrt y)) (sqrt (/ 1 x))) (- (/ 1 (sqrt y)) (sqrt (/ 1 x))) (+ (/ 1 (sqrt y)) (/ 1 (sqrt x))) (- (/ 1 (sqrt y)) (/ 1 (sqrt x))) (+ (/ 1 (sqrt y)) (/ 1 (sqrt x))) (- (/ 1 (sqrt y)) (/ 1 (sqrt x))) (+ (/ 1 (sqrt y)) (sqrt (/ 1 x))) (- (/ 1 (sqrt y)) (sqrt (/ 1 x))) (+ (/ 1 (sqrt y)) (/ 1 (sqrt x))) (- (/ 1 (sqrt y)) (/ 1 (sqrt x))) (+ (/ 1 (sqrt y)) (/ 1 (sqrt x))) (- (/ 1 (sqrt y)) (/ 1 (sqrt x))) (+ (/ -1 x) (/ 1 y)) (+ (/ -1 x) (/ 1 y)) (+ (/ -1 x) (/ 1 y)) (+ (/ -1 x) (/ 1 y)) (+ (/ -1 x) (/ 1 y)) (+ (/ -1 x) (/ 1 y)) (+ (/ -1 x) (/ 1 y)) (/ -1 x) (+ (/ -1 x) (/ 1 y)) (+ (/ -1 x) (/ 1 y)) (+ (/ -1 x) (/ 1 y)) 0.302 * * * [progress]: adding candidates to table 0.353 * [progress]: [Phase 3 of 3] Extracting. 0.353 * * [regime]: Finding splitpoints for: (# #) 0.353 * * * [regime-changes]: Trying 3 branch expressions: ((/ (- x y) (* (* x 2.0) y)) y x) 0.353 * * * * [regimes]: Trying to branch on (/ (- x y) (* (* x 2.0) y)) from (# #) 0.386 * * * * [regimes]: Trying to branch on y from (# #) 0.416 * * * * [regimes]: Trying to branch on x from (# #) 0.449 * * * [regime]: Found split indices: #