32.854 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (+ (+ x y) x) 0.017 * * [simplify]: iteration 0 : 7 enodes (cost 2 ) 0.019 * * [simplify]: iteration 1 : 10 enodes (cost 2 ) 0.020 * * [simplify]: iteration 2 : 12 enodes (cost 2 ) 0.022 * * [simplify]: iteration 3 : 13 enodes (cost 2 ) 0.023 * * [simplify]: iteration 4 : 13 enodes (cost 2 ) 0.023 * [simplify]: Simplified to: (+ (+ x y) x) 0.024 * * [progress]: iteration 1 / 4 0.024 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.034 * * * [progress]: generating series expansions 0.035 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.035 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 0.035 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.035 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.035 * [taylor]: Taking taylor expansion of 2 in y 0.035 * [taylor]: Taking taylor expansion of x in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.035 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.035 * [taylor]: Taking taylor expansion of 2 in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.035 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.035 * [taylor]: Taking taylor expansion of 2 in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of 2 in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in (x y) around 0 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.039 * [taylor]: Taking taylor expansion of 2 in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.039 * [taylor]: Taking taylor expansion of x in y 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.039 * [taylor]: Taking taylor expansion of 2 in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.039 * [taylor]: Taking taylor expansion of 2 in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of 2 in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [approximate]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in (x y) around 0 0.047 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in y 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.047 * [taylor]: Taking taylor expansion of 2 in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.047 * [taylor]: Taking taylor expansion of 2 in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.048 * [taylor]: Taking taylor expansion of 2 in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of -2 in y 0.050 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.057 * * * [progress]: simplifying candidates 0.057 * [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 ) 0.158 * * [simplify]: iteration 4 : 5002 enodes (cost 53 ) 0.159 * [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) 0.159 * * * [progress]: adding candidates to table 0.175 * * [progress]: iteration 2 / 4 0.175 * * * [progress]: picking best candidate 0.179 * * * * [pick]: Picked # 0.179 * * * [progress]: localizing error 0.184 * * * [progress]: generating rewritten candidates 0.184 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.204 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.210 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.219 * * * [progress]: generating series expansions 0.219 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.220 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 0.220 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.220 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.220 * [taylor]: Taking taylor expansion of 2 in y 0.220 * [taylor]: Taking taylor expansion of x in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.220 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.220 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.220 * [taylor]: Taking taylor expansion of 2 in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of y in x 0.220 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.220 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.220 * [taylor]: Taking taylor expansion of 2 in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of y in x 0.221 * [taylor]: Taking taylor expansion of y in y 0.221 * [taylor]: Taking taylor expansion of 2 in y 0.222 * [taylor]: Taking taylor expansion of 0 in y 0.223 * [taylor]: Taking taylor expansion of 0 in y 0.223 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in (x y) around 0 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.223 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.224 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.224 * [taylor]: Taking taylor expansion of 2 in y 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.224 * [taylor]: Taking taylor expansion of x in y 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.224 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.224 * [taylor]: Taking taylor expansion of 2 in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.224 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.224 * [taylor]: Taking taylor expansion of 2 in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.225 * [taylor]: Taking taylor expansion of 2 in y 0.226 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.226 * [taylor]: Taking taylor expansion of y in y 0.228 * [taylor]: Taking taylor expansion of 0 in y 0.229 * [taylor]: Taking taylor expansion of 0 in y 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.232 * [approximate]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 y) (* 2 (/ 1 x))))) 2) in (x y) around 0 0.232 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 y) (* 2 (/ 1 x))))) 2) in y 0.232 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (* 2 (/ 1 x))))) in y 0.232 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in y 0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.232 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.232 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.232 * [taylor]: Taking taylor expansion of 2 in y 0.232 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.232 * [taylor]: Taking taylor expansion of x in y 0.234 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 y) (* 2 (/ 1 x))))) 2) in x 0.234 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (* 2 (/ 1 x))))) in x 0.234 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.234 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.234 * [taylor]: Taking taylor expansion of y in x 0.234 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.234 * [taylor]: Taking taylor expansion of 2 in x 0.234 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (/ 1 y) (* 2 (/ 1 x))))) 2) in x 0.237 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (* 2 (/ 1 x))))) in x 0.237 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.237 * [taylor]: Taking taylor expansion of y in x 0.237 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.237 * [taylor]: Taking taylor expansion of 2 in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of +nan.0 in y 0.242 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.242 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.242 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.242 * [taylor]: Taking taylor expansion of +nan.0 in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.242 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.242 * [taylor]: Taking taylor expansion of +nan.0 in y 0.248 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) in y 0.248 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))) in y 0.248 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.248 * [taylor]: Taking taylor expansion of +nan.0 in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.248 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y 0.248 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y 0.248 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 0.248 * [taylor]: Taking taylor expansion of +nan.0 in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.248 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.249 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.249 * [taylor]: Taking taylor expansion of +nan.0 in y 0.255 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.255 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 0.255 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.255 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.255 * [taylor]: Taking taylor expansion of 2 in y 0.255 * [taylor]: Taking taylor expansion of x in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.255 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.255 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.255 * [taylor]: Taking taylor expansion of 2 in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of y in x 0.256 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.256 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.256 * [taylor]: Taking taylor expansion of 2 in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of y in x 0.256 * [taylor]: Taking taylor expansion of y in y 0.257 * [taylor]: Taking taylor expansion of 2 in y 0.257 * [taylor]: Taking taylor expansion of 0 in y 0.258 * [taylor]: Taking taylor expansion of 0 in y 0.259 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in (x y) around 0 0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.259 * [taylor]: Taking taylor expansion of 2 in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.259 * [taylor]: Taking taylor expansion of x in y 0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.259 * [taylor]: Taking taylor expansion of y in x 0.259 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.259 * [taylor]: Taking taylor expansion of 2 in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.260 * [taylor]: Taking taylor expansion of y in x 0.260 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.260 * [taylor]: Taking taylor expansion of 2 in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of 2 in y 0.261 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.263 * [taylor]: Taking taylor expansion of 0 in y 0.265 * [taylor]: Taking taylor expansion of 0 in y 0.267 * [taylor]: Taking taylor expansion of 0 in y 0.267 * [approximate]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in (x y) around 0 0.267 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in y 0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.267 * [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 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.268 * [taylor]: Taking taylor expansion of x in y 0.268 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) 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 0.268 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.268 * [taylor]: Taking taylor expansion of 2 in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.268 * [taylor]: Taking taylor expansion of x 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) (* 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 0.268 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.268 * [taylor]: Taking taylor expansion of 2 in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of -2 in y 0.270 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of 0 in y 0.275 * [taylor]: Taking taylor expansion of 0 in y 0.283 * [taylor]: Taking taylor expansion of 0 in y 0.283 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.284 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 0.284 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.284 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.284 * [taylor]: Taking taylor expansion of 2 in y 0.284 * [taylor]: Taking taylor expansion of x in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.284 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.284 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.284 * [taylor]: Taking taylor expansion of 2 in x 0.284 * [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 (+ (* 2 x) y) in x 0.284 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.284 * [taylor]: Taking taylor expansion of 2 in x 0.284 * [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 y in y 0.285 * [taylor]: Taking taylor expansion of 2 in y 0.286 * [taylor]: Taking taylor expansion of 0 in y 0.287 * [taylor]: Taking taylor expansion of 0 in y 0.287 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in (x y) around 0 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.287 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.287 * [taylor]: Taking taylor expansion of y in y 0.287 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.287 * [taylor]: Taking taylor expansion of 2 in y 0.287 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.287 * [taylor]: Taking taylor expansion of x in y 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.287 * [taylor]: Taking taylor expansion of y 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 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.288 * [taylor]: Taking taylor expansion of y in x 0.288 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.288 * [taylor]: Taking taylor expansion of 2 in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of 2 in y 0.290 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.290 * [taylor]: Taking taylor expansion of y in y 0.291 * [taylor]: Taking taylor expansion of 0 in y 0.293 * [taylor]: Taking taylor expansion of 0 in y 0.295 * [taylor]: Taking taylor expansion of 0 in y 0.296 * [approximate]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in (x y) around 0 0.296 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in y 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.296 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.296 * [taylor]: Taking taylor expansion of y in y 0.296 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.296 * [taylor]: Taking taylor expansion of 2 in y 0.296 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.296 * [taylor]: Taking taylor expansion of x in y 0.296 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.296 * [taylor]: Taking taylor expansion of y in x 0.296 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.296 * [taylor]: Taking taylor expansion of 2 in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.296 * [taylor]: Taking taylor expansion of y in x 0.297 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.297 * [taylor]: Taking taylor expansion of 2 in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of -2 in y 0.299 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.299 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.299 * [taylor]: Taking taylor expansion of y in y 0.301 * [taylor]: Taking taylor expansion of 0 in y 0.303 * [taylor]: Taking taylor expansion of 0 in y 0.306 * [taylor]: Taking taylor expansion of 0 in y 0.306 * * * [progress]: simplifying candidates 0.308 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (+ x y) x) (+ (+ x y) x)) (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (* (+ (+ x y) x) (+ (+ x y) x)) (+ 1 1) (+ (log (sqrt (+ (+ x y) x))) (log (sqrt (+ (+ x y) x)))) (log (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))) (exp (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))) (* (* (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (sqrt (+ (+ x y) x))) (* (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (sqrt (+ (+ x y) x)))) (* (cbrt (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))) (cbrt (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))))) (cbrt (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))) (* (* (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))) (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))) (* (+ (+ x y) x) (+ (+ x y) x)) (sqrt (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))) (sqrt (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))) (* (sqrt (+ (pow (+ x y) 3) (pow x 3))) (sqrt (+ (pow (+ x y) 3) (pow x 3)))) (* (sqrt (+ (* (+ x y) (+ x y)) (- (* x x) (* (+ x y) x)))) (sqrt (+ (* (+ x y) (+ x y)) (- (* x x) (* (+ x y) x))))) (* (sqrt (+ (pow (+ x y) 3) (pow x 3))) (sqrt (- (* (+ x y) (+ x y)) (* x x)))) (* (sqrt (+ (* (+ x y) (+ x y)) (- (* x x) (* (+ x y) x)))) (sqrt (- (+ x y) x))) (* (sqrt (- (* (+ x y) (+ x y)) (* x x))) (sqrt (+ (pow (+ x y) 3) (pow x 3)))) (* (sqrt (- (+ x y) x)) (sqrt (+ (* (+ x y) (+ x y)) (- (* x x) (* (+ x y) x))))) (* (sqrt (- (* (+ x y) (+ x y)) (* x x))) (sqrt (- (* (+ x y) (+ x y)) (* x x)))) (* (sqrt (- (+ x y) x)) (sqrt (- (+ x y) x))) (* (* (cbrt (sqrt (+ (+ x y) x))) (cbrt (sqrt (+ (+ x y) x)))) (* (cbrt (sqrt (+ (+ x y) x))) (cbrt (sqrt (+ (+ x y) x))))) (* (cbrt (sqrt (+ (+ x y) x))) (cbrt (sqrt (+ (+ x y) x)))) (* (sqrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))) (sqrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))))) (* (sqrt (cbrt (+ (+ x y) x))) (sqrt (cbrt (+ (+ x y) x)))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x)))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x)))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x)))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x)))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x)))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x)))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x)))) (* 1 1) (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x)))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x)))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x)))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x)))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x)))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x)))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x)))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (sqrt (+ (+ x y) x)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ (+ x y) x)) (* (cbrt (sqrt (+ (+ x y) x))) (cbrt (sqrt (+ (+ x y) x))))) (* (sqrt (+ (+ x y) x)) (sqrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))))) (* (sqrt (+ (+ x y) x)) (sqrt (sqrt (+ (+ x y) x)))) (* (sqrt (+ (+ x y) x)) (sqrt 1)) (* (sqrt (+ (+ x y) x)) (sqrt 1)) (* (sqrt (+ (+ x y) x)) (sqrt 1)) (* (sqrt (+ (+ x y) x)) (sqrt (sqrt (+ (+ x y) x)))) (* (sqrt (+ (+ x y) x)) 1) (* (cbrt (sqrt (+ (+ x y) x))) (sqrt (+ (+ x y) x))) (* (sqrt (cbrt (+ (+ x y) x))) (sqrt (+ (+ x y) x))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (+ (+ x y) x))) (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (* (sqrt (sqrt (+ (+ x y) x))) (sqrt (+ (+ x y) x))) (* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x))) (* (sqrt (+ (+ x y) x)) (sqrt (+ (pow (+ x y) 3) (pow x 3)))) (* (sqrt (+ (+ x y) x)) (sqrt (- (* (+ x y) (+ x y)) (* x x)))) (* (sqrt (+ (pow (+ x y) 3) (pow x 3))) (sqrt (+ (+ x y) x))) (* (sqrt (- (* (+ x y) (+ x y)) (* x x))) (sqrt (+ (+ 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) (* (* (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) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) 0.314 * * [simplify]: iteration 0 : 204 enodes (cost 509 ) 0.319 * * [simplify]: iteration 1 : 838 enodes (cost 459 ) 0.343 * * [simplify]: iteration 2 : 5001 enodes (cost 444 ) 0.347 * [simplify]: Simplified to: 1 1 2 1 1 (pow (sqrt (+ (+ x y) x)) 4) (+ (+ x y) x) (pow (sqrt (+ (+ x y) x)) 4) 2 (log (+ (+ x y) x)) (log (+ (+ x y) x)) (exp (+ (+ x y) x)) (pow (+ (+ x y) x) 3) (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (pow (+ (+ x y) x) 3) (pow (sqrt (+ (+ x y) x)) 4) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (+ (pow (+ x y) 3) (pow x 3)) (+ (* x (- x (+ x y))) (* (+ x y) (+ x y))) (* (sqrt (+ (pow (+ x y) 3) (pow x 3))) (sqrt (- (* (+ x y) (+ x y)) (* x x)))) (* (sqrt (+ (* (+ x y) (+ x y)) (- (* x x) (* (+ x y) x)))) (sqrt (- (+ x y) x))) (* (sqrt (+ (pow (+ x y) 3) (pow x 3))) (sqrt (- (* (+ x y) (+ x y)) (* x x)))) (* (sqrt (+ (* (+ x y) (+ x y)) (- (* x x) (* (+ x y) x)))) (sqrt (- (+ x y) x))) (- (* (+ x y) (+ x y)) (* x x)) (- (+ x y) x) (pow (cbrt (sqrt (+ (+ x y) x))) 4) (* (cbrt (sqrt (+ (+ x y) x))) (cbrt (sqrt (+ (+ x y) x)))) (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))) (cbrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) 1 (+ (+ x y) x) 1 (+ (+ x y) x) 1 (+ (+ x y) x) 1 (+ (+ x y) x) 1 (+ (+ x y) x) 1 (+ (+ x y) x) 1 (+ (+ x y) x) 1 (+ (+ x y) x) 1 (+ (+ x y) x) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) 1 (+ (+ x y) x) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) 1 2 1 (* (pow (cbrt (sqrt (+ (+ x y) x))) 4) (cbrt (sqrt (+ (+ x y) x)))) (* (fabs (cbrt (+ (+ x y) x))) (sqrt (+ (+ x y) x))) (pow (sqrt (sqrt (+ (+ x y) x))) 3) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)) (pow (sqrt (sqrt (+ (+ x y) x))) 3) (sqrt (+ (+ x y) x)) (pow (cbrt (sqrt (+ (+ x y) x))) 4) (* (sqrt (cbrt (+ (+ x y) x))) (sqrt (+ (+ x y) x))) (pow (sqrt (sqrt (+ (+ x y) x))) 3) (+ (+ x y) x) (+ (+ x y) x) (+ (+ x y) x) (pow (sqrt (sqrt (+ (+ x y) x))) 3) (+ (+ x y) x) (* (sqrt (+ (+ x y) x)) (sqrt (+ (pow (+ x y) 3) (pow x 3)))) (* (sqrt (+ (+ x y) x)) (sqrt (- (* (+ x y) (+ x y)) (* x x)))) (* (sqrt (+ (+ x y) x)) (sqrt (+ (pow (+ x y) 3) (pow x 3)))) (* (sqrt (+ (+ x y) x)) (sqrt (- (* (+ x y) (+ x y)) (* x 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) (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) (+ (+ x y) x) (+ (+ x y) x) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 x)) +nan.0) (+ (+ x y) x) (+ (+ x y) x) (+ (+ x y) x) (+ (+ x y) x) (+ (+ x y) x) (+ (+ x y) x) 0.347 * * * [progress]: adding candidates to table 0.451 * * [progress]: iteration 3 / 4 0.451 * * * [progress]: picking best candidate 0.453 * * * * [pick]: Picked # 0.453 * * * [progress]: localizing error 0.464 * * * [progress]: generating rewritten candidates 0.464 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.471 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.478 * * * [progress]: generating series expansions 0.478 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.478 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 0.478 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.478 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.478 * [taylor]: Taking taylor expansion of 2 in y 0.478 * [taylor]: Taking taylor expansion of x in y 0.478 * [taylor]: Taking taylor expansion of y in y 0.478 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.478 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.478 * [taylor]: Taking taylor expansion of 2 in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of y in x 0.478 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.478 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.478 * [taylor]: Taking taylor expansion of 2 in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of y in x 0.479 * [taylor]: Taking taylor expansion of y in y 0.480 * [taylor]: Taking taylor expansion of 2 in y 0.481 * [taylor]: Taking taylor expansion of 0 in y 0.482 * [taylor]: Taking taylor expansion of 0 in y 0.482 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in (x y) around 0 0.482 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.482 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.482 * [taylor]: Taking taylor expansion of y in y 0.482 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.482 * [taylor]: Taking taylor expansion of 2 in y 0.482 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.483 * [taylor]: Taking taylor expansion of x in y 0.483 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.483 * [taylor]: Taking taylor expansion of y in x 0.483 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.483 * [taylor]: Taking taylor expansion of 2 in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.483 * [taylor]: Taking taylor expansion of y in x 0.483 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.483 * [taylor]: Taking taylor expansion of 2 in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of 2 in y 0.485 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.485 * [taylor]: Taking taylor expansion of y in y 0.486 * [taylor]: Taking taylor expansion of 0 in y 0.488 * [taylor]: Taking taylor expansion of 0 in y 0.490 * [taylor]: Taking taylor expansion of 0 in y 0.491 * [approximate]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 y) (* 2 (/ 1 x)))) in (x y) around 0 0.491 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 y) (* 2 (/ 1 x)))) in y 0.491 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.491 * [taylor]: Taking taylor expansion of -1 in y 0.492 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.492 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.492 * [taylor]: Taking taylor expansion of y in y 0.492 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.492 * [taylor]: Taking taylor expansion of 2 in y 0.492 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.492 * [taylor]: Taking taylor expansion of x in y 0.492 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.492 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.492 * [taylor]: Taking taylor expansion of -1 in x 0.493 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.493 * [taylor]: Taking taylor expansion of y in x 0.493 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.493 * [taylor]: Taking taylor expansion of 2 in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.493 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.493 * [taylor]: Taking taylor expansion of -1 in x 0.494 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.494 * [taylor]: Taking taylor expansion of y in x 0.494 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.494 * [taylor]: Taking taylor expansion of 2 in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (* 2 (cbrt -1)) in y 0.496 * [taylor]: Taking taylor expansion of 2 in y 0.496 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.496 * [taylor]: Taking taylor expansion of -1 in y 0.498 * [taylor]: Taking taylor expansion of (/ (cbrt -1) y) in y 0.498 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.498 * [taylor]: Taking taylor expansion of -1 in y 0.499 * [taylor]: Taking taylor expansion of y in y 0.503 * [taylor]: Taking taylor expansion of 0 in y 0.508 * [taylor]: Taking taylor expansion of 0 in y 0.514 * [taylor]: Taking taylor expansion of 0 in y 0.515 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.516 * [approximate]: Taking taylor expansion of (+ (* 2 x) y) in (x y) around 0 0.516 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.516 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.516 * [taylor]: Taking taylor expansion of 2 in y 0.516 * [taylor]: Taking taylor expansion of x in y 0.516 * [taylor]: Taking taylor expansion of y in y 0.516 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.516 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.516 * [taylor]: Taking taylor expansion of 2 in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of y in x 0.516 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.516 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.516 * [taylor]: Taking taylor expansion of 2 in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of y in x 0.516 * [taylor]: Taking taylor expansion of y in y 0.517 * [taylor]: Taking taylor expansion of 2 in y 0.518 * [taylor]: Taking taylor expansion of 0 in y 0.518 * [taylor]: Taking taylor expansion of 0 in y 0.519 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in (x y) around 0 0.519 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.519 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.519 * [taylor]: Taking taylor expansion of y in y 0.519 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.519 * [taylor]: Taking taylor expansion of 2 in y 0.519 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.519 * [taylor]: Taking taylor expansion of x in y 0.519 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.519 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.519 * [taylor]: Taking taylor expansion of y in x 0.519 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.519 * [taylor]: Taking taylor expansion of 2 in x 0.519 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.520 * [taylor]: Taking taylor expansion of y in x 0.520 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.520 * [taylor]: Taking taylor expansion of 2 in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of 2 in y 0.521 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.521 * [taylor]: Taking taylor expansion of y in y 0.523 * [taylor]: Taking taylor expansion of 0 in y 0.525 * [taylor]: Taking taylor expansion of 0 in y 0.527 * [taylor]: Taking taylor expansion of 0 in y 0.528 * [approximate]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in (x y) around 0 0.528 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in y 0.528 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.528 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.528 * [taylor]: Taking taylor expansion of y in y 0.528 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.528 * [taylor]: Taking taylor expansion of 2 in y 0.528 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.528 * [taylor]: Taking taylor expansion of x in y 0.528 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.528 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.528 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.528 * [taylor]: Taking taylor expansion of y in x 0.528 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.528 * [taylor]: Taking taylor expansion of 2 in x 0.528 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.528 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (* 2 (/ 1 x)))) in x 0.528 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.528 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.528 * [taylor]: Taking taylor expansion of y in x 0.529 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.529 * [taylor]: Taking taylor expansion of 2 in x 0.529 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of -2 in y 0.531 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.531 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.531 * [taylor]: Taking taylor expansion of y in y 0.533 * [taylor]: Taking taylor expansion of 0 in y 0.535 * [taylor]: Taking taylor expansion of 0 in y 0.537 * [taylor]: Taking taylor expansion of 0 in y 0.538 * * * [progress]: simplifying candidates 0.538 * [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) (+ (* 2 x) y) (+ (* 2 x) y) (- (+ (* 2 (* (cbrt -1) x)) (* (cbrt -1) y))) (+ (* 2 x) y) (+ (* 2 x) y) (+ (* 2 x) y) 0.542 * * [simplify]: iteration 0 : 178 enodes (cost 201 ) 0.546 * * [simplify]: iteration 1 : 693 enodes (cost 201 ) 0.561 * * [simplify]: iteration 2 : 3487 enodes (cost 197 ) 0.637 * * [simplify]: iteration 3 : 5002 enodes (cost 185 ) 0.639 * [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) (cbrt (pow (+ (+ x y) x) 3/2)) (cbrt (pow (+ (+ x y) x) 3/2)) (+ (pow (+ x y) 3) (pow x 3)) (+ (* y (+ x y)) (* x x)) (* y (+ (+ x y) x)) y (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)) (+ (* y (+ x y)) (* x x)) (* y (+ (+ x y) x)) y (+ (+ x y) x) (+ (+ x y) x) (+ x y) (+ (+ x y) x) (+ (+ x y) x) (* (- (cbrt -1)) (+ (+ x y) x)) (+ (+ x y) x) (+ (+ x y) x) (+ (+ x y) x) 0.640 * * * [progress]: adding candidates to table 0.691 * [progress]: [Phase 3 of 3] Extracting. 0.691 * * [regime]: Finding splitpoints for: (# # #) 0.691 * * * [regime-changes]: Trying 3 branch expressions: ((+ (+ x y) x) y x) 0.691 * * * * [regimes]: Trying to branch on (+ (+ x y) x) from (# # #) 0.708 * * * * [regimes]: Trying to branch on y from (# # #) 0.722 * * * * [regimes]: Trying to branch on x from (# # #) 0.735 * * * [regime]: Found split indices: #