28.137 * [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 0.025 * * * [progress]: generating rewritten candidates 0.025 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.031 * * * [progress]: generating series expansions 0.031 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.031 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 0.031 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.031 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.031 * [taylor]: Taking taylor expansion of 2 in y 0.031 * [taylor]: Taking taylor expansion of x in y 0.031 * [taylor]: Taking taylor expansion of y in y 0.031 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.031 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.031 * [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 0.032 * [taylor]: Taking taylor expansion of y in y 0.033 * [taylor]: Taking taylor expansion of 2 in y 0.034 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in (x y) around 0 0.035 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.035 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.035 * [taylor]: Taking taylor expansion of 2 in y 0.035 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.035 * [taylor]: Taking taylor expansion of x in y 0.035 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.035 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.035 * [taylor]: Taking taylor expansion of 2 in x 0.035 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.035 * [taylor]: Taking taylor expansion of x in x 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 0.036 * [taylor]: Taking taylor expansion of 2 in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [approximate]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in (x y) around 0 0.043 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in y 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.043 * [taylor]: Taking taylor expansion of 2 in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.043 * [taylor]: Taking taylor expansion of x in y 0.043 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.044 * [taylor]: Taking taylor expansion of 2 in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.044 * [taylor]: Taking taylor expansion of 2 in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of -2 in y 0.046 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.053 * * * [progress]: simplifying candidates 0.053 * [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) 0.056 * * [simplify]: iteration 0 : 82 enodes (cost 65 ) 0.059 * * [simplify]: iteration 1 : 241 enodes (cost 60 ) 0.063 * * [simplify]: iteration 2 : 854 enodes (cost 58 ) 0.083 * * [simplify]: iteration 3 : 4535 enodes (cost 53 ) 0.152 * * [simplify]: iteration 4 : 5002 enodes (cost 53 ) 0.153 * [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) 0.153 * * * [progress]: adding candidates to table 0.169 * * [progress]: iteration 2 / 4 0.169 * * * [progress]: picking best candidate 0.171 * * * * [pick]: Picked # 0.171 * * * [progress]: localizing error 0.178 * * * [progress]: generating rewritten candidates 0.178 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.185 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.190 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.203 * * * [progress]: generating series expansions 0.203 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.204 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 0.204 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.204 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.204 * [taylor]: Taking taylor expansion of 2 in y 0.204 * [taylor]: Taking taylor expansion of x in y 0.204 * [taylor]: Taking taylor expansion of y in y 0.204 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.204 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.204 * [taylor]: Taking taylor expansion of 2 in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.204 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.204 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.204 * [taylor]: Taking taylor expansion of 2 in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.204 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of 2 in y 0.206 * [taylor]: Taking taylor expansion of 0 in y 0.207 * [taylor]: Taking taylor expansion of 0 in y 0.207 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in (x y) around 0 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.207 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.208 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.208 * [taylor]: Taking taylor expansion of 2 in y 0.208 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.208 * [taylor]: Taking taylor expansion of x in y 0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.208 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.208 * [taylor]: Taking taylor expansion of y in x 0.208 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.208 * [taylor]: Taking taylor expansion of 2 in x 0.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.208 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.208 * [taylor]: Taking taylor expansion of y in x 0.208 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.208 * [taylor]: Taking taylor expansion of 2 in x 0.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of 2 in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.213 * [taylor]: Taking taylor expansion of 0 in y 0.215 * [taylor]: Taking taylor expansion of 0 in y 0.216 * [approximate]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 y) (* 2 (/ 1 x)))) in (x y) around 0 0.216 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 y) (* 2 (/ 1 x)))) in y 0.216 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.216 * [taylor]: Taking taylor expansion of -1 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 0.217 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.217 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.217 * [taylor]: Taking taylor expansion of -1 in x 0.218 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.218 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.218 * [taylor]: Taking taylor expansion of y 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 0.218 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.218 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.218 * [taylor]: Taking taylor expansion of -1 in x 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.219 * [taylor]: Taking taylor expansion of y in x 0.219 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.219 * [taylor]: Taking taylor expansion of 2 in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of (* 2 (cbrt -1)) in y 0.221 * [taylor]: Taking taylor expansion of 2 in y 0.221 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.221 * [taylor]: Taking taylor expansion of -1 in y 0.223 * [taylor]: Taking taylor expansion of (/ (cbrt -1) y) in y 0.223 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.223 * [taylor]: Taking taylor expansion of -1 in y 0.224 * [taylor]: Taking taylor expansion of y in y 0.228 * [taylor]: Taking taylor expansion of 0 in y 0.232 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.240 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.240 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 0.240 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.240 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.240 * [taylor]: Taking taylor expansion of 2 in y 0.240 * [taylor]: Taking taylor expansion of x in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.240 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.240 * [taylor]: Taking taylor expansion of 2 in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of y in x 0.240 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.240 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.240 * [taylor]: Taking taylor expansion of 2 in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of y in x 0.241 * [taylor]: Taking taylor expansion of y in y 0.241 * [taylor]: Taking taylor expansion of 2 in y 0.242 * [taylor]: Taking taylor expansion of 0 in y 0.243 * [taylor]: Taking taylor expansion of 0 in y 0.243 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in (x y) around 0 0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.243 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.244 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.244 * [taylor]: Taking taylor expansion of 2 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) (* 2 (/ 1 x))) in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.244 * [taylor]: Taking taylor expansion of 2 in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.244 * [taylor]: Taking taylor expansion of 2 in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of 2 in y 0.246 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of 0 in y 0.249 * [taylor]: Taking taylor expansion of 0 in y 0.251 * [taylor]: Taking taylor expansion of 0 in y 0.251 * [approximate]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in (x y) around 0 0.251 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in y 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.252 * [taylor]: Taking taylor expansion of 2 in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.252 * [taylor]: Taking taylor expansion of x in y 0.252 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.252 * [taylor]: Taking taylor expansion of 2 in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.252 * [taylor]: Taking taylor expansion of 2 in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of -2 in y 0.255 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.255 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.256 * [taylor]: Taking taylor expansion of 0 in y 0.259 * [taylor]: Taking taylor expansion of 0 in y 0.261 * [taylor]: Taking taylor expansion of 0 in y 0.261 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.262 * [approximate]: Taking taylor expansion of (pow (+ (* 2 x) y) 3) in (x y) around 0 0.262 * [taylor]: Taking taylor expansion of (pow (+ (* 2 x) y) 3) in y 0.262 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.262 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.262 * [taylor]: Taking taylor expansion of 2 in y 0.262 * [taylor]: Taking taylor expansion of x in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.262 * [taylor]: Taking taylor expansion of (pow (+ (* 2 x) y) 3) in x 0.262 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) 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 0.262 * [taylor]: Taking taylor expansion of y in x 0.262 * [taylor]: Taking taylor expansion of (pow (+ (* 2 x) y) 3) in x 0.262 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) 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 0.262 * [taylor]: Taking taylor expansion of y in x 0.263 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.263 * [taylor]: Taking taylor expansion of (* 6 (pow y 2)) in y 0.264 * [taylor]: Taking taylor expansion of 6 in y 0.264 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of (* 12 y) in y 0.265 * [taylor]: Taking taylor expansion of 12 in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of 8 in y 0.268 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (* 2 (/ 1 x))) 3) in (x y) around 0 0.268 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (* 2 (/ 1 x))) 3) in y 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.268 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.268 * [taylor]: Taking taylor expansion of 2 in y 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.269 * [taylor]: Taking taylor expansion of x in y 0.269 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (* 2 (/ 1 x))) 3) in x 0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 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 (* 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 0.270 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (* 2 (/ 1 x))) 3) in x 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) 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 (* 2 (/ 1 x)) in x 0.270 * [taylor]: Taking taylor expansion of 2 in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of 8 in y 0.272 * [taylor]: Taking taylor expansion of (* 12 (/ 1 y)) in y 0.272 * [taylor]: Taking taylor expansion of 12 in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 0.275 * [taylor]: Taking taylor expansion of 6 in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.275 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.278 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.280 * [approximate]: Taking taylor expansion of (pow (neg (+ (/ 1 y) (* 2 (/ 1 x)))) 3) in (x y) around 0 0.280 * [taylor]: Taking taylor expansion of (pow (neg (+ (/ 1 y) (* 2 (/ 1 x)))) 3) in y 0.280 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in y 0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.280 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.280 * [taylor]: Taking taylor expansion of 2 in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.280 * [taylor]: Taking taylor expansion of x in y 0.281 * [taylor]: Taking taylor expansion of (pow (neg (+ (/ 1 y) (* 2 (/ 1 x)))) 3) in x 0.281 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.281 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.281 * [taylor]: Taking taylor expansion of y in x 0.281 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.281 * [taylor]: Taking taylor expansion of 2 in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of (pow (neg (+ (/ 1 y) (* 2 (/ 1 x)))) 3) in x 0.282 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.282 * [taylor]: Taking taylor expansion of y in x 0.282 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.282 * [taylor]: Taking taylor expansion of 2 in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of -8 in y 0.291 * [taylor]: Taking taylor expansion of (neg (* 12 (/ 1 y))) in y 0.291 * [taylor]: Taking taylor expansion of (* 12 (/ 1 y)) in y 0.291 * [taylor]: Taking taylor expansion of 12 in y 0.291 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.291 * [taylor]: Taking taylor expansion of y in y 0.295 * [taylor]: Taking taylor expansion of (neg (* 6 (/ 1 (pow y 2)))) in y 0.295 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 0.295 * [taylor]: Taking taylor expansion of 6 in y 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.296 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.296 * [taylor]: Taking taylor expansion of y in y 0.301 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 3))) in y 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.301 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.301 * [taylor]: Taking taylor expansion of y in y 0.303 * * * [progress]: simplifying candidates 0.304 * [simplify]: Simplifying using # : (log (cbrt (pow (+ (+ x y) x) 3))) (exp (cbrt (pow (+ (+ x y) x) 3))) (cbrt (pow (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) 3)) (cbrt (pow (cbrt (+ (+ x y) x)) 3)) (cbrt (pow (sqrt (+ (+ x y) x)) 3)) (cbrt (pow (sqrt (+ (+ x y) x)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (+ x y) x) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (+ x y) x) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (+ x y) x) 3)) (cbrt (* (+ (+ x y) x) (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (cbrt (* (cbrt (pow (+ (+ x y) x) 3)) (cbrt (pow (+ (+ x y) x) 3)))) (cbrt (cbrt (pow (+ (+ x y) x) 3))) (cbrt (pow (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) 3)) (cbrt (pow (cbrt (+ (+ x y) x)) 3)) (cbrt (pow (sqrt (+ (+ x y) x)) 3)) (cbrt (pow (sqrt (+ (+ x y) x)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (+ x y) x) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (+ x y) x) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (+ x y) x) 3)) (cbrt (+ (+ x y) x)) (cbrt (* (+ (+ x y) x) (+ (+ x y) x))) (cbrt (sqrt (pow (+ (+ x y) x) 3))) (cbrt (sqrt (pow (+ (+ x y) x) 3))) (cbrt 1) (cbrt (pow (+ (+ x y) x) 3)) (cbrt (pow (+ (+ x y) x) (/ 3 2))) (cbrt (pow (+ (+ x y) x) (/ 3 2))) (cbrt (pow (+ (pow (+ x y) 3) (pow x 3)) 3)) (cbrt (pow (+ (* (+ x y) (+ x y)) (- (* x x) (* (+ x y) x))) 3)) (cbrt (pow (- (* (+ x y) (+ x y)) (* x x)) 3)) (cbrt (pow (- (+ x y) x) 3)) (* (cbrt (cbrt (pow (+ (+ x y) x) 3))) (cbrt (cbrt (pow (+ (+ x y) x) 3)))) (cbrt (cbrt (pow (+ (+ x y) x) 3))) (* (* (cbrt (pow (+ (+ x y) x) 3)) (cbrt (pow (+ (+ x y) x) 3))) (cbrt (pow (+ (+ x y) x) 3))) (sqrt (cbrt (pow (+ (+ x y) x) 3))) (sqrt (cbrt (pow (+ (+ x y) x) 3))) (* (* (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) (* (log (+ (+ x y) x)) 3) (* (log (+ (+ x y) x)) 3) (* 1 3) (pow (+ (+ x y) x) (* (cbrt 3) (cbrt 3))) (pow (+ (+ x y) x) (sqrt 3)) (pow (+ (+ x y) x) 1) (pow (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) 3) (pow (cbrt (+ (+ x y) x)) 3) (pow (sqrt (+ (+ x y) x)) 3) (pow (sqrt (+ (+ x y) x)) 3) (pow 1 3) (pow (+ (+ x y) x) 3) (pow 1 3) (pow (+ (+ x y) x) 3) (pow 1 3) (pow (+ (+ x y) x) 3) (* (+ (+ x y) x) (+ (+ x y) x)) (log (pow (+ (+ x y) x) 3)) (exp (pow (+ (+ x y) x) 3)) (* (cbrt (pow (+ (+ x y) x) 3)) (cbrt (pow (+ (+ x y) x) 3))) (cbrt (pow (+ (+ x y) x) 3)) (* (* (pow (+ (+ x y) x) 3) (pow (+ (+ x y) x) 3)) (pow (+ (+ x y) x) 3)) (pow (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) 3) (pow (cbrt (+ (+ x y) x)) 3) (pow (sqrt (+ (+ x y) x)) 3) (pow (sqrt (+ (+ x y) x)) 3) (pow 1 3) (pow (+ (+ x y) x) 3) (pow 1 3) (pow (+ (+ x y) x) 3) (pow 1 3) (pow (+ (+ x y) x) 3) (pow (+ (pow (+ x y) 3) (pow x 3)) 3) (pow (+ (* (+ x y) (+ x y)) (- (* x x) (* (+ x y) x))) 3) (pow (- (* (+ x y) (+ x y)) (* x x)) 3) (pow (- (+ x y) x) 3) (* (+ (+ x y) x) (+ (+ x y) x)) (sqrt (pow (+ (+ x y) x) 3)) (sqrt (pow (+ (+ x y) x) 3)) (pow (+ (+ x y) x) (/ 3 2)) (pow (+ (+ x y) x) (/ 3 2)) (+ (* 2 x) y) (+ (* 2 x) y) (neg (+ (* 2 (* (cbrt -1) x)) (* (cbrt -1) y))) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 6 (* x (pow y 2))) (+ (* 12 (* (pow x 2) y)) (* 8 (pow x 3)))) (+ (* 6 (* x (pow y 2))) (+ (* 12 (* (pow x 2) y)) (pow y 3))) (+ (* 6 (* x (pow y 2))) (+ (* 12 (* (pow x 2) y)) (pow y 3))) 0.309 * * [simplify]: iteration 0 : 246 enodes (cost 370 ) 0.315 * * [simplify]: iteration 1 : 1055 enodes (cost 353 ) 0.339 * * [simplify]: iteration 2 : 5002 enodes (cost 341 ) 0.342 * [simplify]: Simplified to: (log (+ (+ x y) x)) (exp (+ (+ x y) x)) (cbrt (* (+ (+ x y) x) (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) 1 (+ (+ x y) x) 1 (+ (+ x y) x) 1 (+ (+ x y) x) (cbrt (* (+ (+ x y) x) (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (cbrt (* (+ (+ x y) x) (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (cbrt (* (+ (+ x y) x) (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) 1 (+ (+ x y) x) 1 (+ (+ x y) x) 1 (+ (+ x y) x) (cbrt (+ (+ x y) x)) (cbrt (* (+ (+ x y) x) (+ (+ x y) x))) (cbrt (sqrt (pow (+ (+ x y) x) 3))) (cbrt (sqrt (pow (+ (+ x y) x) 3))) 1 (+ (+ x y) x) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (+ (pow (+ x y) 3) (pow x 3)) (+ (* (+ x y) (- (+ x y) x)) (pow x 2)) (- (* (+ x y) (+ x y)) (* x x)) (- (+ x y) x) (cbrt (* (+ (+ x y) x) (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (pow (+ (+ x y) x) 3) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (exp (+ (+ x y) x)) (exp (+ (+ x y) x)) (log (+ (+ x y) x)) (exp (+ (+ x y) x)) (cbrt (* (+ (+ x y) x) (+ (+ 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 y) (- (+ x y) x)) (pow x 2)) (- (* (+ x y) (+ x y)) (* x x)) (- (+ x y) x) (+ (+ x y) x) (+ (+ x y) x) (+ x y) (log (pow (+ (+ x y) x) 3)) (log (pow (+ (+ x y) x) 3)) 3 (pow (+ (+ x y) x) (* (cbrt 3) (cbrt 3))) (pow (+ (+ x y) x) (sqrt 3)) (+ (+ x y) x) (pow (+ (+ x y) x) 2) (+ (+ x y) x) (pow (+ (+ x y) x) 3/2) (pow (+ (+ x y) x) 3/2) 1 (pow (+ (+ x y) x) 3) 1 (pow (+ (+ x y) x) 3) 1 (pow (+ (+ x y) x) 3) (pow (+ (+ x y) x) 2) (log (pow (+ (+ x y) x) 3)) (exp (pow (+ (+ x y) x) 3)) (pow (+ (+ x y) x) 2) (+ (+ x y) x) (pow (pow (+ (+ x y) x) 3) 3) (pow (+ (+ x y) x) 2) (+ (+ x y) x) (pow (+ (+ x y) x) 3/2) (pow (+ (+ x y) x) 3/2) 1 (pow (+ (+ x y) x) 3) 1 (pow (+ (+ x y) x) 3) 1 (pow (+ (+ x y) x) 3) (pow (+ (pow (+ x y) 3) (pow x 3)) 3) (pow (+ (* x (- x (+ x y))) (* (+ x y) (+ x y))) 3) (pow (- (* (+ x y) (+ x y)) (* x x)) 3) (pow (- (+ x y) x) 3) (pow (+ (+ x y) x) 2) (sqrt (pow (+ (+ x y) x) 3)) (sqrt (pow (+ (+ x y) x) 3)) (pow (+ (+ x y) x) 3/2) (pow (+ (+ x y) x) 3/2) (+ (+ x y) x) (+ (+ x y) x) (- (* -2 (* (cbrt -1) x)) (* (cbrt -1) y)) (+ (+ x y) x) (+ (+ x y) x) (+ (+ x y) x) (+ (* 6 (* x (pow y 2))) (+ (* 12 (* (pow x 2) y)) (* 8 (pow x 3)))) (+ (* (pow y 2) (+ y (* 6 x))) (* 12 (* (pow x 2) y))) (+ (* (pow y 2) (+ y (* 6 x))) (* 12 (* (pow x 2) y))) 0.343 * * * [progress]: adding candidates to table 0.431 * * [progress]: iteration 3 / 4 0.431 * * * [progress]: picking best candidate 0.432 * * * * [pick]: Picked # 0.432 * * * [progress]: localizing error 0.439 * * * [progress]: generating rewritten candidates 0.439 * * * [progress]: generating series expansions 0.439 * * * [progress]: simplifying candidates 0.439 * [simplify]: Simplifying using # : 0.442 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.442 * [simplify]: Simplified to: 0.442 * * * [progress]: adding candidates to table 0.442 * [progress]: [Phase 3 of 3] Extracting. 0.444 * [simplify]: Simplifying using # : (- (* -2 (* (cbrt -1) x)) (* (cbrt -1) y)) 0.444 * * [simplify]: iteration 0 : 12 enodes (cost 6 ) 0.444 * * [simplify]: iteration 1 : 12 enodes (cost 6 ) 0.445 * [simplify]: Simplified to: (- (* -2 (* (cbrt -1) x)) (* (cbrt -1) y)) 0.764 * [regime-testing]: End program error score: 0 0.781 * [regime-testing]: Target error score: 0