18.630 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.079 * * * [progress]: [2/2] Setting up program. 0.082 * [progress]: [Phase 2 of 3] Improving. 0.082 * [simplify]: Simplifying using # : (* 2.0 (- (* x x) (* x y))) 0.095 * * [simplify]: iteration 0 : 380 enodes (cost 7 ) 0.095 * * [simplify]: iteration 1 : 380 enodes (cost 7 ) 0.096 * [simplify]: Simplified to: (* 2.0 (* x (- x y))) 0.099 * * [progress]: iteration 1 / 4 0.099 * * * [progress]: picking best candidate 0.103 * * * * [pick]: Picked # 0.103 * * * [progress]: localizing error 0.109 * * * [progress]: generating rewritten candidates 0.109 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.113 * * * [progress]: generating series expansions 0.113 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.113 * [approximate]: Taking taylor expansion of (- (pow x 2) (* x y)) in (x y) around 0 0.113 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in y 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.113 * [taylor]: Taking taylor expansion of x in y 0.113 * [taylor]: Taking taylor expansion of (* x y) in y 0.113 * [taylor]: Taking taylor expansion of x in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (* x y) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.113 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of (* x y) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of y in x 0.114 * [taylor]: Taking taylor expansion of 0 in y 0.114 * [taylor]: Taking taylor expansion of (neg y) in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.114 * [taylor]: Taking taylor expansion of 1 in y 0.114 * [taylor]: Taking taylor expansion of 0 in y 0.114 * [taylor]: Taking taylor expansion of 0 in y 0.114 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.114 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.114 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.114 * [taylor]: Taking taylor expansion of x in y 0.115 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.115 * [taylor]: Taking taylor expansion of (* x y) in y 0.115 * [taylor]: Taking taylor expansion of x in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.115 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.115 * [taylor]: Taking taylor expansion of (* x y) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of y in x 0.115 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.115 * [taylor]: Taking taylor expansion of (* x y) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of y in x 0.115 * [taylor]: Taking taylor expansion of 1 in y 0.115 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.115 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.116 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.116 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.116 * [taylor]: Taking taylor expansion of x in y 0.117 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.117 * [taylor]: Taking taylor expansion of (* x y) in y 0.117 * [taylor]: Taking taylor expansion of x in y 0.117 * [taylor]: Taking taylor expansion of y in y 0.117 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.117 * [taylor]: Taking taylor expansion of (* x y) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of y in x 0.117 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.117 * [taylor]: Taking taylor expansion of (* x y) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of y in x 0.117 * [taylor]: Taking taylor expansion of 1 in y 0.117 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.117 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.117 * [taylor]: Taking taylor expansion of y in y 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.118 * [taylor]: Taking taylor expansion of 0 in y 0.118 * [taylor]: Taking taylor expansion of 0 in y 0.118 * * * [progress]: simplifying candidates 0.119 * [simplify]: Simplifying using # : (/ (exp (* x x)) (exp (* x y))) (log (- (* x x) (* x y))) (exp (- (* x x) (* x y))) (* (cbrt (- (* x x) (* x y))) (cbrt (- (* x x) (* x y)))) (cbrt (- (* x x) (* x y))) (* (* (- (* x x) (* x y)) (- (* x x) (* x y))) (- (* x x) (* x y))) (sqrt (- (* x x) (* x y))) (sqrt (- (* x x) (* x y))) (- (pow (* x x) 3) (pow (* x y) 3)) (+ (* (* x x) (* x x)) (+ (* (* x y) (* x y)) (* (* x x) (* x y)))) (neg (* x y)) (- (* (* x x) (* x x)) (* (* x y) (* x y))) (+ (* x x) (* x y)) (- x y) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) 0.157 * * [simplify]: iteration 0 : 5074 enodes (cost 116 ) 0.158 * [simplify]: Simplified to: (pow (exp x) (- x y)) (log (* x (- x y))) (pow (exp x) (- x y)) (* (cbrt (* x (- x y))) (cbrt (* x (- x y)))) (cbrt (* x (- x y))) (pow (* x (- x y)) 3) (sqrt (* x (- x y))) (sqrt (* x (- x y))) (- (pow x 6) (pow (* x y) 3)) (+ (pow x 4) (* x (* x (* y (+ x y))))) (* x (neg y)) (- (pow x 4) (* x (* x (* y y)))) (* x (+ x y)) (- x y) (* x (- x y)) (* x (- x y)) (* x (- x y)) 0.159 * * * [progress]: adding candidates to table 0.173 * * [progress]: iteration 2 / 4 0.173 * * * [progress]: picking best candidate 0.175 * * * * [pick]: Picked # 0.175 * * * [progress]: localizing error 0.179 * * * [progress]: generating rewritten candidates 0.179 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.186 * * * [progress]: generating series expansions 0.186 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.186 * [approximate]: Taking taylor expansion of (* x (- x y)) in (x y) around 0 0.186 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 0.186 * [taylor]: Taking taylor expansion of x in y 0.186 * [taylor]: Taking taylor expansion of (- x y) in y 0.186 * [taylor]: Taking taylor expansion of x in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.187 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (- x y) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of y in x 0.187 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (- x y) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of y in x 0.187 * [taylor]: Taking taylor expansion of 0 in y 0.187 * [taylor]: Taking taylor expansion of (neg y) in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.187 * [taylor]: Taking taylor expansion of 1 in y 0.187 * [taylor]: Taking taylor expansion of 0 in y 0.187 * [taylor]: Taking taylor expansion of 0 in y 0.187 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in (x y) around 0 0.187 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.187 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.187 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.187 * [taylor]: Taking taylor expansion of x in y 0.188 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of x in y 0.188 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.188 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.188 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of 1 in y 0.188 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.188 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of 0 in y 0.189 * [taylor]: Taking taylor expansion of 0 in y 0.189 * [taylor]: Taking taylor expansion of 0 in y 0.189 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.189 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.189 * [taylor]: Taking taylor expansion of -1 in y 0.189 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.189 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.189 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.189 * [taylor]: Taking taylor expansion of y in y 0.189 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.189 * [taylor]: Taking taylor expansion of x in y 0.189 * [taylor]: Taking taylor expansion of x in y 0.189 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.189 * [taylor]: Taking taylor expansion of -1 in x 0.189 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.189 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.189 * [taylor]: Taking taylor expansion of y in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.190 * [taylor]: Taking taylor expansion of -1 in x 0.190 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.190 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.190 * [taylor]: Taking taylor expansion of y in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of 1 in y 0.190 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.190 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.190 * [taylor]: Taking taylor expansion of y in y 0.190 * [taylor]: Taking taylor expansion of 0 in y 0.191 * [taylor]: Taking taylor expansion of 0 in y 0.191 * [taylor]: Taking taylor expansion of 0 in y 0.191 * * * [progress]: simplifying candidates 0.191 * [simplify]: Simplifying using # : (* x (- x y)) (+ (log x) (log (- x y))) (log (* x (- x y))) (exp (* x (- x y))) (* (* (* x x) x) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (* x (- x y))) (cbrt (* x (- x y)))) (cbrt (* x (- x y))) (* (* (* x (- x y)) (* x (- x y))) (* x (- x y))) (sqrt (* x (- x y))) (sqrt (* x (- x y))) (* (sqrt x) (sqrt (- x y))) (* (sqrt x) (sqrt (- x y))) (* x x) (* x (neg y)) (* x x) (* (neg y) x) (* x (* (cbrt (- x y)) (cbrt (- x y)))) (* x (sqrt (- x y))) (* x 1) (* x (+ (sqrt x) (sqrt y))) (* x 1) (* (cbrt x) (- x y)) (* (sqrt x) (- x y)) (* x (- x y)) (* x (- (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) 0.230 * * [simplify]: iteration 0 : 5081 enodes (cost 172 ) 0.231 * [simplify]: Simplified to: (* x (- x y)) (log (* x (- x y))) (log (* x (- x y))) (pow (exp x) (- x y)) (pow (* x (- x y)) 3) (* (cbrt (* x (- x y))) (cbrt (* x (- x y)))) (cbrt (* x (- x y))) (pow (* x (- x y)) 3) (sqrt (* x (- x y))) (sqrt (* x (- x y))) (* (sqrt x) (sqrt (- x y))) (* (sqrt x) (sqrt (- x y))) (* x x) (* x (neg y)) (* x x) (* x (neg y)) (* x (* (cbrt (- x y)) (cbrt (- x y)))) (* x (sqrt (- x y))) x (* x (+ (sqrt x) (sqrt y))) x (* (- x y) (cbrt x)) (* (- x y) (sqrt x)) (* x (- x y)) (- (pow x 4) (* x (pow y 3))) (- (pow x 3) (* x (* y y))) (* x (- x y)) (* x (- x y)) (* x (- x y)) 0.232 * * * [progress]: adding candidates to table 0.252 * [progress]: [Phase 3 of 3] Extracting. 0.253 * * [regime]: Finding splitpoints for: (# #) 0.253 * * * [regime-changes]: Trying 4 branch expressions: ((- (* x x) (* x y)) (* 2.0 (- (* x x) (* x y))) y x) 0.253 * * * * [regimes]: Trying to branch on (- (* x x) (* x y)) from (# #) 0.284 * * * * [regimes]: Trying to branch on (* 2.0 (- (* x x) (* x y))) from (# #) 0.317 * * * * [regimes]: Trying to branch on y from (# #) 0.348 * * * * [regimes]: Trying to branch on x from (# #) 0.379 * * * [regime]: Found split indices: #