27.139 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying using # : (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.027 * * [simplify]: iteration 0 : 17 enodes (cost 6 ) 0.029 * * [simplify]: iteration 1 : 37 enodes (cost 5 ) 0.031 * * [simplify]: iteration 2 : 46 enodes (cost 5 ) 0.032 * * [simplify]: iteration 3 : 46 enodes (cost 5 ) 0.032 * [simplify]: Simplified to: (+ (* y (+ (* x 2.0) y)) (* x x)) 0.035 * * [progress]: iteration 1 / 4 0.035 * * * [progress]: picking best candidate 0.037 * * * * [pick]: Picked # 0.037 * * * [progress]: localizing error 0.044 * * * [progress]: generating rewritten candidates 0.044 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.051 * * * [progress]: generating series expansions 0.051 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.051 * [approximate]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in (y x) around 0 0.051 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in x 0.051 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in x 0.051 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.051 * [taylor]: Taking taylor expansion of 2.0 in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in y 0.051 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in y 0.051 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.051 * [taylor]: Taking taylor expansion of 2.0 in y 0.051 * [taylor]: Taking taylor expansion of x in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in y 0.051 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in y 0.051 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.051 * [taylor]: Taking taylor expansion of 2.0 in y 0.051 * [taylor]: Taking taylor expansion of x in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of 0 in x 0.053 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.053 * [taylor]: Taking taylor expansion of 2.0 in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of 1 in x 0.057 * [taylor]: Taking taylor expansion of 0 in x 0.059 * [taylor]: Taking taylor expansion of 0 in x 0.059 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in (y x) around 0 0.059 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in x 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.059 * [taylor]: Taking taylor expansion of 2.0 in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.061 * [taylor]: Taking taylor expansion of 2.0 in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.061 * [taylor]: Taking taylor expansion of x in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.062 * [taylor]: Taking taylor expansion of 2.0 in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.062 * [taylor]: Taking taylor expansion of x in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of 1 in x 0.063 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.063 * [taylor]: Taking taylor expansion of 2.0 in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of 0 in x 0.070 * [taylor]: Taking taylor expansion of 0 in x 0.074 * [taylor]: Taking taylor expansion of 0 in x 0.074 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in (y x) around 0 0.074 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in x 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.074 * [taylor]: Taking taylor expansion of 2.0 in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.076 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.076 * [taylor]: Taking taylor expansion of 2.0 in y 0.076 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.076 * [taylor]: Taking taylor expansion of x in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.076 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.077 * [taylor]: Taking taylor expansion of 2.0 in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.077 * [taylor]: Taking taylor expansion of x in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of 1 in x 0.078 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.078 * [taylor]: Taking taylor expansion of 2.0 in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of 0 in x 0.084 * [taylor]: Taking taylor expansion of 0 in x 0.092 * [taylor]: Taking taylor expansion of 0 in x 0.092 * * * [progress]: simplifying candidates 0.093 * [simplify]: Simplifying using # : (* y (+ (* x 2.0) y)) (+ (log y) (log (+ (* x 2.0) y))) (log (* y (+ (* x 2.0) y))) (exp (* y (+ (* x 2.0) y))) (* (* (* y y) y) (* (* (+ (* x 2.0) y) (+ (* x 2.0) y)) (+ (* x 2.0) y))) (* (cbrt (* y (+ (* x 2.0) y))) (cbrt (* y (+ (* x 2.0) y)))) (cbrt (* y (+ (* x 2.0) y))) (* (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (* y (+ (* x 2.0) y))) (sqrt (* y (+ (* x 2.0) y))) (sqrt (* y (+ (* x 2.0) y))) (* (sqrt y) (sqrt (+ (* x 2.0) y))) (* (sqrt y) (sqrt (+ (* x 2.0) y))) (* y (* x 2.0)) (* y y) (* (* x 2.0) y) (* y y) (* y (* (cbrt (+ (* x 2.0) y)) (cbrt (+ (* x 2.0) y)))) (* y (sqrt (+ (* x 2.0) y))) (* y 1) (* (cbrt y) (+ (* x 2.0) y)) (* (sqrt y) (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)) (* y (+ (pow (* x 2.0) 3) (pow y 3))) (* y (- (* (* x 2.0) (* x 2.0)) (* y y))) (+ (pow y 2) (* 2.0 (* x y))) (+ (pow y 2) (* 2.0 (* x y))) (+ (pow y 2) (* 2.0 (* x y))) 0.096 * * [simplify]: iteration 0 : 145 enodes (cost 116 ) 0.100 * * [simplify]: iteration 1 : 711 enodes (cost 103 ) 0.118 * * [simplify]: iteration 2 : 3639 enodes (cost 103 ) 0.200 * * [simplify]: iteration 3 : 5001 enodes (cost 103 ) 0.201 * [simplify]: Simplified to: (* y (+ (* x 2.0) y)) (log (* y (+ (* x 2.0) y))) (log (* y (+ (* x 2.0) y))) (exp (* y (+ (* x 2.0) y))) (pow (* y (+ (* x 2.0) y)) 3) (* (cbrt (* y (+ (* x 2.0) y))) (cbrt (* y (+ (* x 2.0) y)))) (cbrt (* y (+ (* x 2.0) y))) (pow (* y (+ (* x 2.0) y)) 3) (sqrt (* y (+ (* x 2.0) y))) (sqrt (* y (+ (* x 2.0) y))) (* (sqrt (+ (* x 2.0) y)) (pow y 1/2)) (* (sqrt (+ (* x 2.0) y)) (pow y 1/2)) (* y (* x 2.0)) (pow y 2) (* y (* x 2.0)) (pow y 2) (* y (* (cbrt (+ (* x 2.0) y)) (cbrt (+ (* x 2.0) y)))) (* y (sqrt (+ (* x 2.0) y))) y (* (cbrt y) (+ (* x 2.0) y)) (* (sqrt y) (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)) (* y (+ (pow (* x 2.0) 3) (pow y 3))) (* y (- (* (* x 2.0) (* x 2.0)) (* y y))) (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)) 0.201 * * * [progress]: adding candidates to table 0.238 * * [progress]: iteration 2 / 4 0.238 * * * [progress]: picking best candidate 0.239 * * * * [pick]: Picked # 0.239 * * * [progress]: localizing error 0.250 * * * [progress]: generating rewritten candidates 0.250 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.254 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.260 * * * [progress]: generating series expansions 0.260 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.260 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.260 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.260 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.260 * [taylor]: Taking taylor expansion of x in y 0.260 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.260 * [taylor]: Taking taylor expansion of 2.0 in y 0.260 * [taylor]: Taking taylor expansion of (* x y) in y 0.260 * [taylor]: Taking taylor expansion of x in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.260 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.260 * [taylor]: Taking taylor expansion of 2.0 in x 0.260 * [taylor]: Taking taylor expansion of (* x y) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of y in x 0.260 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.260 * [taylor]: Taking taylor expansion of 2.0 in x 0.260 * [taylor]: Taking taylor expansion of (* x y) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of y in x 0.261 * [taylor]: Taking taylor expansion of 0 in y 0.262 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.262 * [taylor]: Taking taylor expansion of 2.0 in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of 1 in y 0.267 * [taylor]: Taking taylor expansion of 0 in y 0.271 * [taylor]: Taking taylor expansion of 0 in y 0.271 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.271 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.271 * [taylor]: Taking taylor expansion of x in y 0.271 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.271 * [taylor]: Taking taylor expansion of 2.0 in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.271 * [taylor]: Taking taylor expansion of (* x y) in y 0.271 * [taylor]: Taking taylor expansion of x in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.272 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.272 * [taylor]: Taking taylor expansion of 2.0 in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.272 * [taylor]: Taking taylor expansion of (* x y) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.273 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.273 * [taylor]: Taking taylor expansion of 2.0 in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.273 * [taylor]: Taking taylor expansion of (* x y) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of 1 in y 0.275 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.275 * [taylor]: Taking taylor expansion of 2.0 in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of 0 in y 0.281 * [taylor]: Taking taylor expansion of 0 in y 0.285 * [taylor]: Taking taylor expansion of 0 in y 0.286 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.286 * [taylor]: Taking taylor expansion of x in y 0.286 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.286 * [taylor]: Taking taylor expansion of 2.0 in y 0.286 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.286 * [taylor]: Taking taylor expansion of (* x y) in y 0.286 * [taylor]: Taking taylor expansion of x in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.287 * [taylor]: Taking taylor expansion of 2.0 in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.287 * [taylor]: Taking taylor expansion of (* x y) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of y in x 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.287 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.288 * [taylor]: Taking taylor expansion of 2.0 in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.288 * [taylor]: Taking taylor expansion of (* x y) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of y in x 0.289 * [taylor]: Taking taylor expansion of 1 in y 0.290 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.290 * [taylor]: Taking taylor expansion of 2.0 in y 0.290 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.290 * [taylor]: Taking taylor expansion of y in y 0.292 * [taylor]: Taking taylor expansion of 0 in y 0.296 * [taylor]: Taking taylor expansion of 0 in y 0.300 * [taylor]: Taking taylor expansion of 0 in y 0.301 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.301 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.301 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.301 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.301 * [taylor]: Taking taylor expansion of x in y 0.301 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.301 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.301 * [taylor]: Taking taylor expansion of y in y 0.301 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.301 * [taylor]: Taking taylor expansion of 2.0 in y 0.301 * [taylor]: Taking taylor expansion of (* x y) in y 0.301 * [taylor]: Taking taylor expansion of x in y 0.301 * [taylor]: Taking taylor expansion of y in y 0.301 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.301 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.301 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.301 * [taylor]: Taking taylor expansion of y in x 0.301 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.301 * [taylor]: Taking taylor expansion of 2.0 in x 0.301 * [taylor]: Taking taylor expansion of (* x y) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [taylor]: Taking taylor expansion of y in x 0.301 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.301 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.301 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.301 * [taylor]: Taking taylor expansion of y in x 0.301 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.301 * [taylor]: Taking taylor expansion of 2.0 in x 0.301 * [taylor]: Taking taylor expansion of (* x y) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [taylor]: Taking taylor expansion of y in x 0.302 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.302 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.303 * [taylor]: Taking taylor expansion of 2.0 in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.305 * [taylor]: Taking taylor expansion of 1 in y 0.307 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.307 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.307 * [taylor]: Taking taylor expansion of x in y 0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.307 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.307 * [taylor]: Taking taylor expansion of y in y 0.307 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.307 * [taylor]: Taking taylor expansion of 2.0 in y 0.307 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.307 * [taylor]: Taking taylor expansion of (* x y) in y 0.307 * [taylor]: Taking taylor expansion of x in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.308 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.308 * [taylor]: Taking taylor expansion of y in x 0.309 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.309 * [taylor]: Taking taylor expansion of 2.0 in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.309 * [taylor]: Taking taylor expansion of (* x y) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of y in x 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.309 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.310 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.310 * [taylor]: Taking taylor expansion of y in x 0.310 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.310 * [taylor]: Taking taylor expansion of 2.0 in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.310 * [taylor]: Taking taylor expansion of (* x y) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of y in x 0.310 * [taylor]: Taking taylor expansion of 1 in y 0.311 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.311 * [taylor]: Taking taylor expansion of 2.0 in y 0.311 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.314 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.314 * [taylor]: Taking taylor expansion of y in y 0.315 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.315 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.315 * [taylor]: Taking taylor expansion of x in y 0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.315 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.315 * [taylor]: Taking taylor expansion of y in y 0.316 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.316 * [taylor]: Taking taylor expansion of 2.0 in y 0.316 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.316 * [taylor]: Taking taylor expansion of (* x y) in y 0.316 * [taylor]: Taking taylor expansion of x in y 0.316 * [taylor]: Taking taylor expansion of y in y 0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.317 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.317 * [taylor]: Taking taylor expansion of y in x 0.317 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.317 * [taylor]: Taking taylor expansion of 2.0 in x 0.317 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.317 * [taylor]: Taking taylor expansion of (* x y) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [taylor]: Taking taylor expansion of y in x 0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.317 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.318 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.318 * [taylor]: Taking taylor expansion of y in x 0.318 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.318 * [taylor]: Taking taylor expansion of 2.0 in x 0.318 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.318 * [taylor]: Taking taylor expansion of (* x y) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of y in x 0.319 * [taylor]: Taking taylor expansion of 1 in y 0.320 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.320 * [taylor]: Taking taylor expansion of 2.0 in y 0.320 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.322 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.322 * [taylor]: Taking taylor expansion of y in y 0.323 * * * [progress]: simplifying candidates 0.324 * [simplify]: Simplifying using # : (* (exp (* x x)) (exp (* (* x 2.0) y))) (log (+ (* x x) (* (* x 2.0) y))) (exp (+ (* x x) (* (* x 2.0) y))) (* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y)))) (cbrt (+ (* x x) (* (* x 2.0) y))) (* (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (+ (pow (* x x) 3) (pow (* (* x 2.0) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x x) (* (* x 2.0) y)))) (- (* (* x x) (* x x)) (* (* (* x 2.0) y) (* (* x 2.0) y))) (- (* x x) (* (* x 2.0) y)) (* (* (exp (* x x)) (exp (* (* x 2.0) y))) (exp (* y y))) (* (exp (+ (* x x) (* (* x 2.0) y))) (exp (* y y))) (log (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (exp (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (* (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* (* x 2.0) y)) (* y y)))) (- (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (* (* y y) (* y y))) (- (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (* (* x 2.0) y) (* y y)) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.328 * * [simplify]: iteration 0 : 191 enodes (cost 234 ) 0.333 * * [simplify]: iteration 1 : 998 enodes (cost 212 ) 0.355 * * [simplify]: iteration 2 : 4902 enodes (cost 196 ) 0.481 * * [simplify]: iteration 3 : 5002 enodes (cost 196 ) 0.482 * [simplify]: Simplified to: (pow (exp x) (+ (* 2.0 y) x)) (log (+ (* x x) (* (* x 2.0) y))) (pow (exp x) (+ (* 2.0 y) x)) (* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y)))) (cbrt (+ (* x x) (* (* x 2.0) y))) (pow (* x (+ (* 2.0 y) x)) 3) (sqrt (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (+ (pow (* x x) 3) (pow (* (* x 2.0) y) 3)) (* x (+ (pow x 3) (* (* 2.0 y) (* x (- (* 2.0 y) x))))) (* (* x (- x (* 2.0 y))) (* x (+ (* 2.0 y) x))) (* x (- x (* 2.0 y))) (exp (+ (pow x 2) (* y (+ (* x 2.0) y)))) (exp (+ (pow x 2) (* y (+ (* x 2.0) y)))) (log (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (exp (+ (pow x 2) (* y (+ (* x 2.0) y)))) (* (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (pow (+ (pow x 2) (* y (+ (* x 2.0) y))) 3) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3)) (+ (* (* x (+ (* 2.0 y) x)) (+ (* y (- (* x 2.0) y)) (pow x 2))) (pow y 4)) (* (+ (* y (- (* x 2.0) y)) (pow x 2)) (+ (pow x 2) (* y (+ (* x 2.0) y)))) (+ (* y (- (* x 2.0) y)) (pow x 2)) (* y (+ (* x 2.0) y)) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (+ (pow x 2) (* y (+ (* x 2.0) y))) (+ (pow x 2) (* y (+ (* x 2.0) y))) (+ (pow x 2) (* y (+ (* x 2.0) y))) 0.483 * * * [progress]: adding candidates to table 0.547 * [progress]: [Phase 3 of 3] Extracting. 0.547 * * [regime]: Finding splitpoints for: (# #) 0.548 * * * [regime-changes]: Trying 3 branch expressions: ((+ (+ (* x x) (* (* x 2.0) y)) (* y y)) y x) 0.548 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) from (# #) 0.559 * * * * [regimes]: Trying to branch on y from (# #) 0.569 * * * * [regimes]: Trying to branch on x from (# #) 0.582 * * * [regime]: Found split indices: #