31.157 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.009 * * * [progress]: [2/2] Setting up program. 0.011 * [progress]: [Phase 2 of 3] Improving. 0.011 * [simplify]: Simplifying using # : (+ (+ x y) x) 0.013 * * [simplify]: iteration 0 : 7 enodes (cost 2 ) 0.014 * * [simplify]: iteration 1 : 10 enodes (cost 2 ) 0.016 * * [simplify]: iteration 2 : 12 enodes (cost 2 ) 0.017 * * [simplify]: iteration 3 : 13 enodes (cost 2 ) 0.018 * * [simplify]: iteration 4 : 13 enodes (cost 2 ) 0.018 * [simplify]: Simplified to: (+ (+ x y) x) 0.018 * * [progress]: iteration 1 / 4 0.018 * * * [progress]: picking best candidate 0.020 * * * * [pick]: Picked # 0.020 * * * [progress]: localizing error 0.026 * * * [progress]: generating rewritten candidates 0.026 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.032 * * * [progress]: generating series expansions 0.032 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.032 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 0.032 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.032 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.032 * [taylor]: Taking taylor expansion of 2 in y 0.032 * [taylor]: Taking taylor expansion of x in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.032 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.032 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.032 * [taylor]: Taking taylor expansion of 2 in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of y in x 0.032 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.032 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.032 * [taylor]: Taking taylor expansion of 2 in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of y in y 0.034 * [taylor]: Taking taylor expansion of 2 in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.036 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in (x y) around 0 0.036 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.036 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.036 * [taylor]: Taking taylor expansion of 2 in y 0.036 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.036 * [taylor]: Taking taylor expansion of x in y 0.036 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.036 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.036 * [taylor]: Taking taylor expansion of 2 in x 0.036 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.037 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.037 * [taylor]: Taking taylor expansion of 2 in x 0.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of 2 in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [approximate]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in (x y) around 0 0.045 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in y 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.046 * [taylor]: Taking taylor expansion of 2 in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.046 * [taylor]: Taking taylor expansion of 2 in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.046 * [taylor]: Taking taylor expansion of 2 in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of -2 in y 0.048 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.055 * * * [progress]: simplifying candidates 0.056 * [simplify]: Simplifying using # : (* (* (exp x) (exp y)) (exp x)) (* (exp (+ x y)) (exp x)) (log (+ (+ x y) x)) (exp (+ (+ x y) x)) (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (* (* (+ (+ x y) x) (+ (+ x y) x)) (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (+ (pow (+ x y) 3) (pow x 3)) (+ (* (+ x y) (+ x y)) (- (* x x) (* (+ x y) x))) (- (* (+ x y) (+ x y)) (* x x)) (- (+ x y) x) (+ (+ x y) x) (+ (+ x y) x) (+ y x) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) 0.060 * * [simplify]: iteration 0 : 82 enodes (cost 65 ) 0.063 * * [simplify]: iteration 1 : 241 enodes (cost 60 ) 0.068 * * [simplify]: iteration 2 : 854 enodes (cost 58 ) 0.088 * * [simplify]: iteration 3 : 4535 enodes (cost 53 ) 0.156 * * [simplify]: iteration 4 : 5002 enodes (cost 53 ) 0.157 * [simplify]: Simplified to: (exp (+ (+ x y) x)) (exp (+ (+ x y) x)) (log (+ (+ x y) x)) (exp (+ (+ x y) x)) (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (pow (+ (+ x y) x) 3) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (+ (pow (+ x y) 3) (pow x 3)) (+ (* y (+ x y)) (* x x)) (* y (+ (+ x y) x)) y (+ (+ x y) x) (+ (+ x y) x) (+ x y) (+ (+ x y) x) (+ (+ x y) x) (+ (+ x y) x) 0.157 * * * [progress]: adding candidates to table 0.175 * * [progress]: iteration 2 / 4 0.175 * * * [progress]: picking best candidate 0.176 * * * * [pick]: Picked # 0.176 * * * [progress]: localizing error 0.182 * * * [progress]: generating rewritten candidates 0.183 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.192 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 0.198 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.211 * * * [progress]: generating series expansions 0.211 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.211 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (y x) around 0 0.211 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.211 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.211 * [taylor]: Taking taylor expansion of 2 in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of y in x 0.211 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.211 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.211 * [taylor]: Taking taylor expansion of 2 in y 0.211 * [taylor]: Taking taylor expansion of x in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.211 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.211 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.211 * [taylor]: Taking taylor expansion of 2 in y 0.211 * [taylor]: Taking taylor expansion of x in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.211 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.211 * [taylor]: Taking taylor expansion of 2 in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of 1 in x 0.214 * [taylor]: Taking taylor expansion of 0 in x 0.216 * [taylor]: Taking taylor expansion of 0 in x 0.216 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in (y x) around 0 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.216 * [taylor]: Taking taylor expansion of y in x 0.216 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.216 * [taylor]: Taking taylor expansion of 2 in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.217 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.217 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.217 * [taylor]: Taking taylor expansion of 2 in y 0.217 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.217 * [taylor]: Taking taylor expansion of x in y 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.217 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.217 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.217 * [taylor]: Taking taylor expansion of 2 in y 0.217 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.217 * [taylor]: Taking taylor expansion of x in y 0.218 * [taylor]: Taking taylor expansion of 1 in x 0.218 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.218 * [taylor]: Taking taylor expansion of 2 in x 0.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of 0 in x 0.222 * [taylor]: Taking taylor expansion of 0 in x 0.225 * [taylor]: Taking taylor expansion of 0 in x 0.225 * [approximate]: Taking taylor expansion of (* -1 (+ (/ 1 y) (* 2 (/ 1 x)))) in (y x) around 0 0.225 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.225 * [taylor]: Taking taylor expansion of -1 in x 0.225 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.225 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.225 * [taylor]: Taking taylor expansion of y in x 0.225 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.225 * [taylor]: Taking taylor expansion of 2 in x 0.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.225 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 y) (* 2 (/ 1 x)))) in y 0.225 * [taylor]: Taking taylor expansion of -1 in y 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.226 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.226 * [taylor]: Taking taylor expansion of y in y 0.226 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.226 * [taylor]: Taking taylor expansion of 2 in y 0.226 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.226 * [taylor]: Taking taylor expansion of x in y 0.226 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 y) (* 2 (/ 1 x)))) in y 0.226 * [taylor]: Taking taylor expansion of -1 in y 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.226 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.226 * [taylor]: Taking taylor expansion of y in y 0.226 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.226 * [taylor]: Taking taylor expansion of 2 in y 0.226 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.226 * [taylor]: Taking taylor expansion of x in y 0.227 * [taylor]: Taking taylor expansion of -1 in x 0.228 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.228 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.228 * [taylor]: Taking taylor expansion of 2 in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of 0 in x 0.234 * [taylor]: Taking taylor expansion of 0 in x 0.238 * [taylor]: Taking taylor expansion of 0 in x 0.238 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 0.238 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 0.238 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.238 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.238 * [taylor]: Taking taylor expansion of 2 in y 0.238 * [taylor]: Taking taylor expansion of x in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.238 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.238 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.238 * [taylor]: Taking taylor expansion of 2 in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of y in x 0.238 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.238 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.238 * [taylor]: Taking taylor expansion of 2 in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of y in x 0.239 * [taylor]: Taking taylor expansion of y in y 0.239 * [taylor]: Taking taylor expansion of 2 in y 0.240 * [taylor]: Taking taylor expansion of 0 in y 0.241 * [taylor]: Taking taylor expansion of 0 in y 0.241 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in (x y) around 0 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.241 * [taylor]: Taking taylor expansion of y in y 0.242 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.242 * [taylor]: Taking taylor expansion of 2 in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.242 * [taylor]: Taking taylor expansion of x in y 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.242 * [taylor]: Taking taylor expansion of y in x 0.242 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.242 * [taylor]: Taking taylor expansion of 2 in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.242 * [taylor]: Taking taylor expansion of y in x 0.242 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.242 * [taylor]: Taking taylor expansion of 2 in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of 2 in y 0.244 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.244 * [taylor]: Taking taylor expansion of y in y 0.246 * [taylor]: Taking taylor expansion of 0 in y 0.248 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [approximate]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in (x y) around 0 0.250 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in y 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.251 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.251 * [taylor]: Taking taylor expansion of 2 in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.251 * [taylor]: Taking taylor expansion of x in y 0.251 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.251 * [taylor]: Taking taylor expansion of y in x 0.251 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.251 * [taylor]: Taking taylor expansion of 2 in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.251 * [taylor]: Taking taylor expansion of y in x 0.251 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.251 * [taylor]: Taking taylor expansion of 2 in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.251 * [taylor]: Taking taylor expansion of x in x 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 (/ 1 y) in y 0.253 * [taylor]: Taking taylor expansion of y in y 0.256 * [taylor]: Taking taylor expansion of 0 in y 0.258 * [taylor]: Taking taylor expansion of 0 in y 0.260 * [taylor]: Taking taylor expansion of 0 in y 0.260 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.261 * [approximate]: Taking taylor expansion of (* (+ (* 2 x) y) y) in (y x) around 0 0.261 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in x 0.261 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.261 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.261 * [taylor]: Taking taylor expansion of 2 in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of y in x 0.261 * [taylor]: Taking taylor expansion of y in x 0.261 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 0.261 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.261 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.261 * [taylor]: Taking taylor expansion of 2 in y 0.261 * [taylor]: Taking taylor expansion of x in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.261 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 0.261 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.261 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.261 * [taylor]: Taking taylor expansion of 2 in y 0.261 * [taylor]: Taking taylor expansion of x in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.261 * [taylor]: Taking taylor expansion of 0 in x 0.262 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.262 * [taylor]: Taking taylor expansion of 2 in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of 1 in x 0.265 * [taylor]: Taking taylor expansion of 0 in x 0.268 * [taylor]: Taking taylor expansion of 0 in x 0.268 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 0.268 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.268 * [taylor]: Taking taylor expansion of y in x 0.269 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.269 * [taylor]: Taking taylor expansion of 2 in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of y in x 0.269 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.269 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.269 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.270 * [taylor]: Taking taylor expansion of 2 in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.270 * [taylor]: Taking taylor expansion of x in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.271 * [taylor]: Taking taylor expansion of 2 in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.271 * [taylor]: Taking taylor expansion of x in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of 1 in x 0.272 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.272 * [taylor]: Taking taylor expansion of 2 in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of 0 in x 0.278 * [taylor]: Taking taylor expansion of 0 in x 0.283 * [taylor]: Taking taylor expansion of 0 in x 0.283 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 0.283 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.283 * [taylor]: Taking taylor expansion of y in x 0.283 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.283 * [taylor]: Taking taylor expansion of 2 in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of y in x 0.284 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.284 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.285 * [taylor]: Taking taylor expansion of 2 in y 0.285 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.285 * [taylor]: Taking taylor expansion of x in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.285 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.286 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.286 * [taylor]: Taking taylor expansion of 2 in y 0.286 * [taylor]: Taking taylor expansion of (/ 1 x) 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 in x 0.287 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.287 * [taylor]: Taking taylor expansion of 2 in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of 0 in x 0.293 * [taylor]: Taking taylor expansion of 0 in x 0.301 * [taylor]: Taking taylor expansion of 0 in x 0.301 * * * [progress]: simplifying candidates 0.302 * [simplify]: Simplifying using # : (- (+ (log y) (log (+ (+ x y) x))) (log y)) (- (log (* y (+ (+ x y) x))) (log y)) (log (/ (* y (+ (+ x y) x)) y)) (exp (/ (* y (+ (+ x y) x)) y)) (/ (* (* (* y y) y) (* (* (+ (+ x y) x) (+ (+ x y) x)) (+ (+ x y) x))) (* (* y y) y)) (/ (* (* (* y (+ (+ x y) x)) (* y (+ (+ x y) x))) (* y (+ (+ x y) x))) (* (* y y) y)) (* (cbrt (/ (* y (+ (+ x y) x)) y)) (cbrt (/ (* y (+ (+ x y) x)) y))) (cbrt (/ (* y (+ (+ x y) x)) y)) (* (* (/ (* y (+ (+ x y) x)) y) (/ (* y (+ (+ x y) x)) y)) (/ (* y (+ (+ x y) x)) y)) (sqrt (/ (* y (+ (+ x y) x)) y)) (sqrt (/ (* y (+ (+ x y) x)) y)) (- (* y (+ (+ x y) x))) (- y) (/ y (* (cbrt y) (cbrt y))) (/ (+ (+ x y) x) (cbrt y)) (/ y (sqrt y)) (/ (+ (+ x y) x) (sqrt y)) (/ y 1) (/ (+ (+ x y) x) y) (/ 1 y) (/ y (* y (+ (+ x y) x))) (/ (* y (+ (+ x y) x)) (* (cbrt y) (cbrt y))) (/ (* y (+ (+ x y) x)) (sqrt y)) (/ (* y (+ (+ x y) x)) 1) (/ y (+ (+ x y) x)) (* y (+ (* (+ x y) (+ x y)) (- (* x x) (* (+ x y) x)))) (* y (- (+ x y) x)) (* (* (exp x) (exp y)) (exp x)) (* (exp (+ x y)) (exp x)) (log (+ (+ x y) x)) (exp (+ (+ x y) x)) (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (* (* (+ (+ x y) x) (+ (+ x y) x)) (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (+ (pow (+ x y) 3) (pow x 3)) (+ (* (+ x y) (+ x y)) (- (* x x) (* (+ x y) x))) (- (* (+ x y) (+ x y)) (* x x)) (- (+ x y) x) (+ (+ x y) x) (+ (+ x y) x) (+ y x) (* y (+ (+ x y) x)) (+ (log y) (log (+ (+ x y) x))) (log (* y (+ (+ x y) x))) (exp (* y (+ (+ x y) x))) (* (* (* y y) y) (* (* (+ (+ x y) x) (+ (+ x y) x)) (+ (+ x y) x))) (* (cbrt (* y (+ (+ x y) x))) (cbrt (* y (+ (+ x y) x)))) (cbrt (* y (+ (+ x y) x))) (* (* (* y (+ (+ x y) x)) (* y (+ (+ x y) x))) (* y (+ (+ x y) x))) (sqrt (* y (+ (+ x y) x))) (sqrt (* y (+ (+ x y) x))) (* (sqrt y) (sqrt (+ (+ x y) x))) (* (sqrt y) (sqrt (+ (+ x y) x))) (* y (+ x y)) (* y x) (* (+ x y) y) (* x y) (* y (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))) (* y (sqrt (+ (+ x y) x))) (* y 1) (* y 1) (* y 1) (* (cbrt y) (+ (+ x y) x)) (* (sqrt y) (+ (+ x y) x)) (* y (+ (+ x y) x)) (* y (+ (pow (+ x y) 3) (pow x 3))) (* y (- (* (+ x y) (+ x y)) (* x x))) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) 0.307 * * [simplify]: iteration 0 : 248 enodes (cost 335 ) 0.315 * * [simplify]: iteration 1 : 1360 enodes (cost 285 ) 0.349 * * [simplify]: iteration 2 : 5002 enodes (cost 261 ) 0.352 * [simplify]: Simplified to: (log (+ (+ x y) x)) (log (+ (+ x y) x)) (log (+ (+ x y) x)) (exp (+ (+ x y) x)) (pow (+ (+ x y) x) 3) (pow (+ (+ x y) x) 3) (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (pow (+ (+ x y) x) 3) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (- (* y (+ (+ x y) x))) (- y) (/ y (* (cbrt y) (cbrt y))) (/ (+ (+ x y) x) (cbrt y)) (/ y (sqrt y)) (/ (+ (+ x y) x) (pow y 1/2)) y (/ (+ (+ x y) x) y) (/ 1 y) (/ 1 (+ (+ x y) x)) (/ (* y (+ (+ x y) x)) (* (cbrt y) (cbrt y))) (/ (* y (+ (+ x y) x)) (sqrt y)) (* y (+ (+ x y) x)) (/ y (+ (+ x y) x)) (* (+ (* x (- x (+ x y))) (* (+ x y) (+ x y))) y) (* y (- (+ x y) x)) (exp (+ (+ x y) x)) (exp (+ (+ x y) x)) (log (+ (+ x y) x)) (exp (+ (+ x y) x)) (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (pow (+ (+ x y) x) 3) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (+ (pow (+ x y) 3) (pow x 3)) (+ (* x (- x (+ x y))) (* (+ x y) (+ x y))) (- (* (+ x y) (+ x y)) (* x x)) (- (+ x y) x) (+ (+ x y) x) (+ (+ x y) x) (+ x y) (* y (+ (+ x y) x)) (log (* y (+ (+ x y) x))) (log (* y (+ (+ x y) x))) (exp (* y (+ (+ x y) x))) (pow (* y (+ (+ x y) x)) 3) (* (cbrt (* y (+ (+ x y) x))) (cbrt (* y (+ (+ x y) x)))) (cbrt (* y (+ (+ x y) x))) (pow (* y (+ (+ x y) x)) 3) (sqrt (* y (+ (+ x y) x))) (sqrt (* y (+ (+ x y) x))) (* (sqrt y) (sqrt (+ (+ x y) x))) (* (sqrt y) (sqrt (+ (+ x y) x))) (* y (+ x y)) (* y x) (* y (+ x y)) (* y x) (* y (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))) (* y (sqrt (+ (+ x y) x))) y y y (* (cbrt y) (+ (+ x y) x)) (* (sqrt y) (+ (+ x y) x)) (* y (+ (+ x y) x)) (* y (+ (pow (+ x y) 3) (pow x 3))) (* y (- (* (+ x y) (+ x y)) (* x x))) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y)) (* y (+ (* 2 x) y)) 0.352 * * * [progress]: adding candidates to table 0.442 * * [progress]: iteration 3 / 4 0.442 * * * [progress]: picking best candidate 0.443 * * * * [pick]: Picked # 0.443 * * * [progress]: localizing error 0.447 * * * [progress]: generating rewritten candidates 0.447 * * * [progress]: generating series expansions 0.447 * * * [progress]: simplifying candidates 0.447 * [simplify]: Simplifying using # : 0.450 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.450 * [simplify]: Simplified to: 0.450 * * * [progress]: adding candidates to table 0.451 * [progress]: [Phase 3 of 3] Extracting. 0.452 * [simplify]: Simplifying using # : (+ (* 2 x) y) 0.453 * * [simplify]: iteration 0 : 7 enodes (cost 2 ) 0.453 * * [simplify]: iteration 1 : 7 enodes (cost 2 ) 0.453 * [simplify]: Simplified to: (+ (* 2 x) y) 0.738 * [regime-testing]: End program error score: 0 0.759 * [regime-testing]: Target error score: 0