6.674 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (+ (+ (* x x) y) y) 0.016 * * [simplify]: iteration 0 : 9 enodes (cost 3 ) 0.017 * * [simplify]: iteration 1 : 12 enodes (cost 3 ) 0.018 * * [simplify]: iteration 2 : 13 enodes (cost 3 ) 0.019 * * [simplify]: iteration 3 : 13 enodes (cost 3 ) 0.019 * [simplify]: Simplified to: (+ (+ (* x x) y) y) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.025 * * * [progress]: generating rewritten candidates 0.025 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.029 * * * [progress]: generating series expansions 0.029 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.029 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.029 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.029 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.029 * [taylor]: Taking taylor expansion of x in y 0.029 * [taylor]: Taking taylor expansion of y in y 0.029 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.029 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of y in x 0.029 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.029 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of y in x 0.030 * [taylor]: Taking taylor expansion of y in y 0.030 * [taylor]: Taking taylor expansion of 0 in y 0.031 * [taylor]: Taking taylor expansion of 1 in y 0.031 * [taylor]: Taking taylor expansion of 0 in y 0.031 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.032 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.032 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.032 * [taylor]: Taking taylor expansion of x in y 0.032 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.032 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.032 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.033 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.033 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of 1 in y 0.034 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.039 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.039 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.039 * [taylor]: Taking taylor expansion of x in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of 1 in y 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.047 * * * [progress]: simplifying candidates 0.048 * [simplify]: Simplifying using # : (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.050 * * [simplify]: iteration 0 : 81 enodes (cost 57 ) 0.053 * * [simplify]: iteration 1 : 284 enodes (cost 50 ) 0.060 * * [simplify]: iteration 2 : 688 enodes (cost 50 ) 0.083 * * [simplify]: iteration 3 : 2506 enodes (cost 50 ) 0.149 * * [simplify]: iteration 4 : 5001 enodes (cost 50 ) 0.149 * [simplify]: Simplified to: (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (pow (+ (pow x 2) y) 3) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (- (* y y) (- (* (* x x) y) (pow x 4))) (+ (- (* y y)) (pow x 4)) (- (* x x) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.149 * * * [progress]: adding candidates to table 0.175 * * [progress]: iteration 2 / 4 0.175 * * * [progress]: picking best candidate 0.177 * * * * [pick]: Picked # 0.177 * * * [progress]: localizing error 0.186 * * * [progress]: generating rewritten candidates 0.187 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.198 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.205 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2) 0.212 * * * [progress]: generating series expansions 0.212 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.212 * [approximate]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in (y x) around 0 0.212 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in x 0.212 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.212 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.212 * [taylor]: Taking taylor expansion of y in x 0.212 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.212 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of y in x 0.212 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in y 0.212 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.212 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.212 * [taylor]: Taking taylor expansion of x in y 0.213 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.213 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.213 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.213 * [taylor]: Taking taylor expansion of x in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.213 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in y 0.213 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.213 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.213 * [taylor]: Taking taylor expansion of x in y 0.214 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.214 * [taylor]: Taking taylor expansion of y in y 0.214 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.214 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.214 * [taylor]: Taking taylor expansion of x in y 0.214 * [taylor]: Taking taylor expansion of y in y 0.214 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of 1 in x 0.218 * [taylor]: Taking taylor expansion of 0 in x 0.221 * [taylor]: Taking taylor expansion of 0 in x 0.226 * [taylor]: Taking taylor expansion of 0 in x 0.226 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in (y x) around 0 0.226 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.226 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.226 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.227 * [taylor]: Taking taylor expansion of y in x 0.227 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.227 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.228 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.228 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.228 * [taylor]: Taking taylor expansion of x in y 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.229 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.229 * [taylor]: Taking taylor expansion of y in y 0.229 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.229 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.229 * [taylor]: Taking taylor expansion of x in y 0.229 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.229 * [taylor]: Taking taylor expansion of y in y 0.231 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.231 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.231 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.231 * [taylor]: Taking taylor expansion of x in y 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.231 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.231 * [taylor]: Taking taylor expansion of y in y 0.232 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.232 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.232 * [taylor]: Taking taylor expansion of x in y 0.232 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.233 * [taylor]: Taking taylor expansion of 1 in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.236 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of 0 in x 0.247 * [taylor]: Taking taylor expansion of 0 in x 0.253 * [taylor]: Taking taylor expansion of 0 in x 0.261 * [taylor]: Taking taylor expansion of 0 in x 0.261 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in (y x) around 0 0.261 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.261 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.261 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.262 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.262 * [taylor]: Taking taylor expansion of y in x 0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.262 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.264 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.264 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.264 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.264 * [taylor]: Taking taylor expansion of x in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.264 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.264 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.264 * [taylor]: Taking taylor expansion of x in y 0.265 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.266 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.266 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.266 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.266 * [taylor]: Taking taylor expansion of x in y 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.266 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.267 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.267 * [taylor]: Taking taylor expansion of 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 -1 in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.270 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of 0 in x 0.278 * [taylor]: Taking taylor expansion of 0 in x 0.285 * [taylor]: Taking taylor expansion of 0 in x 0.292 * [taylor]: Taking taylor expansion of 0 in x 0.292 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.293 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in (y x) around 0 0.293 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.293 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.293 * [taylor]: Taking taylor expansion of y in x 0.293 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.293 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.293 * [taylor]: Taking taylor expansion of x in y 0.293 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.293 * [taylor]: Taking taylor expansion of y in y 0.293 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.293 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.293 * [taylor]: Taking taylor expansion of x in y 0.293 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.293 * [taylor]: Taking taylor expansion of y in y 0.293 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of 0 in x 0.295 * [taylor]: Taking taylor expansion of -1 in x 0.297 * [taylor]: Taking taylor expansion of 0 in x 0.299 * [taylor]: Taking taylor expansion of 0 in x 0.300 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (y x) around 0 0.300 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.300 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.301 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.301 * [taylor]: Taking taylor expansion of y in x 0.301 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.301 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.301 * [taylor]: Taking taylor expansion of x in y 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.301 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.301 * [taylor]: Taking taylor expansion of y in y 0.302 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.302 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.302 * [taylor]: Taking taylor expansion of x in y 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.302 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.302 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of -1 in x 0.304 * [taylor]: Taking taylor expansion of 0 in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.305 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of 0 in x 0.311 * [taylor]: Taking taylor expansion of 0 in x 0.316 * [taylor]: Taking taylor expansion of 0 in x 0.323 * [taylor]: Taking taylor expansion of 0 in x 0.326 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (y x) around 0 0.326 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.326 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.326 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.327 * [taylor]: Taking taylor expansion of y in x 0.327 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.327 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.327 * [taylor]: Taking taylor expansion of x in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.327 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.327 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.327 * [taylor]: Taking taylor expansion of x in y 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.328 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of -1 in x 0.330 * [taylor]: Taking taylor expansion of 0 in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.331 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of 0 in x 0.338 * [taylor]: Taking taylor expansion of 0 in x 0.342 * [taylor]: Taking taylor expansion of 0 in x 0.348 * [taylor]: Taking taylor expansion of 0 in x 0.350 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2) 0.350 * [approximate]: Taking taylor expansion of (- (pow x 2) y) in (x y) around 0 0.350 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.350 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.350 * [taylor]: Taking taylor expansion of x in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.350 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of y in x 0.350 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of y in x 0.350 * [taylor]: Taking taylor expansion of (- y) in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.351 * [taylor]: Taking taylor expansion of 0 in y 0.352 * [taylor]: Taking taylor expansion of 1 in y 0.353 * [taylor]: Taking taylor expansion of 0 in y 0.353 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.353 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.353 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.353 * [taylor]: Taking taylor expansion of x in y 0.354 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.354 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.354 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.354 * [taylor]: Taking taylor expansion of y in x 0.354 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.355 * [taylor]: Taking taylor expansion of y in x 0.355 * [taylor]: Taking taylor expansion of 1 in y 0.356 * [taylor]: Taking taylor expansion of 0 in y 0.357 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.357 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.357 * [taylor]: Taking taylor expansion of y in y 0.359 * [taylor]: Taking taylor expansion of 0 in y 0.362 * [taylor]: Taking taylor expansion of 0 in y 0.362 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.362 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.363 * [taylor]: Taking taylor expansion of x in y 0.363 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.363 * [taylor]: Taking taylor expansion of y in y 0.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.363 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.363 * [taylor]: Taking taylor expansion of y in x 0.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.364 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.364 * [taylor]: Taking taylor expansion of 1 in y 0.365 * [taylor]: Taking taylor expansion of 0 in y 0.366 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of 0 in y 0.370 * [taylor]: Taking taylor expansion of 0 in y 0.370 * * * [progress]: simplifying candidates 0.371 * [simplify]: Simplifying using # : (- (log (+ (- (* y y)) (pow x 4))) (log (- (* x x) y))) (log (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (exp (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (/ (* (* (+ (- (* y y)) (pow x 4)) (+ (- (* y y)) (pow x 4))) (+ (- (* y y)) (pow x 4))) (* (* (- (* x x) y) (- (* x x) y)) (- (* x x) y))) (* (cbrt (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (cbrt (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)))) (cbrt (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (* (* (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (sqrt (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (sqrt (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (- (+ (- (* y y)) (pow x 4))) (- (- (* x x) y)) (/ 0 (- (* x x) y)) (/ (- (* y y) (pow x 4)) (- (* x x) y)) (/ (* (cbrt (+ (- (* y y)) (pow x 4))) (cbrt (+ (- (* y y)) (pow x 4)))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (cbrt (+ (- (* y y)) (pow x 4))) (cbrt (- (* x x) y))) (/ (* (cbrt (+ (- (* y y)) (pow x 4))) (cbrt (+ (- (* y y)) (pow x 4)))) (sqrt (- (* x x) y))) (/ (cbrt (+ (- (* y y)) (pow x 4))) (sqrt (- (* x x) y))) (/ (* (cbrt (+ (- (* y y)) (pow x 4))) (cbrt (+ (- (* y y)) (pow x 4)))) 1) (/ (cbrt (+ (- (* y y)) (pow x 4))) (- (* x x) y)) (/ (* (cbrt (+ (- (* y y)) (pow x 4))) (cbrt (+ (- (* y y)) (pow x 4)))) (+ x (sqrt y))) (/ (cbrt (+ (- (* y y)) (pow x 4))) (- x (sqrt y))) (/ (sqrt (+ (- (* y y)) (pow x 4))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (sqrt (+ (- (* y y)) (pow x 4))) (cbrt (- (* x x) y))) (/ (sqrt (+ (- (* y y)) (pow x 4))) (sqrt (- (* x x) y))) (/ (sqrt (+ (- (* y y)) (pow x 4))) (sqrt (- (* x x) y))) (/ (sqrt (+ (- (* y y)) (pow x 4))) 1) (/ (sqrt (+ (- (* y y)) (pow x 4))) (- (* x x) y)) (/ (sqrt (+ (- (* y y)) (pow x 4))) (+ x (sqrt y))) (/ (sqrt (+ (- (* y y)) (pow x 4))) (- x (sqrt y))) (/ 1 (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (+ (- (* y y)) (pow x 4)) (cbrt (- (* x x) y))) (/ 1 (sqrt (- (* x x) y))) (/ (+ (- (* y y)) (pow x 4)) (sqrt (- (* x x) y))) (/ 1 1) (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) (/ 1 (+ x (sqrt y))) (/ (+ (- (* y y)) (pow x 4)) (- x (sqrt y))) (/ 1 (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (+ (- (* y y)) (pow x 4)) (cbrt (- (* x x) y))) (/ 1 (sqrt (- (* x x) y))) (/ (+ (- (* y y)) (pow x 4)) (sqrt (- (* x x) y))) (/ 1 1) (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) (/ 1 (+ x (sqrt y))) (/ (+ (- (* y y)) (pow x 4)) (- x (sqrt y))) (/ 1 (- (* x x) y)) (/ (- (* x x) y) (+ (- (* y y)) (pow x 4))) (/ (+ (- (* y y)) (pow x 4)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (+ (- (* y y)) (pow x 4)) (sqrt (- (* x x) y))) (/ (+ (- (* y y)) (pow x 4)) 1) (/ (+ (- (* y y)) (pow x 4)) (+ x (sqrt y))) (/ (- (* x x) y) (cbrt (+ (- (* y y)) (pow x 4)))) (/ (- (* x x) y) (sqrt (+ (- (* y y)) (pow x 4)))) (/ (- (* x x) y) (+ (- (* y y)) (pow x 4))) (/ (- (* x x) y) (+ (- (* y y)) (pow x 4))) (/ (+ (- (* y y)) (pow x 4)) (- (pow (* x x) 3) (pow y 3))) (/ (+ (- (* y y)) (pow x 4)) (- (* (* x x) (* x x)) (* y y))) (* (- (* x x) y) (+ (* (- (* y y)) (- (* y y))) (- (* (pow x 4) (pow x 4)) (* (- (* y y)) (pow x 4))))) (* (- (* x x) y) (- (- (* y y)) (pow x 4))) (* (/ 1 (exp (* y y))) (exp (pow x 4))) (* (exp (- (* y y))) (exp (pow x 4))) (log (+ (- (* y y)) (pow x 4))) (exp (+ (- (* y y)) (pow x 4))) (* (cbrt (+ (- (* y y)) (pow x 4))) (cbrt (+ (- (* y y)) (pow x 4)))) (cbrt (+ (- (* y y)) (pow x 4))) (* (* (+ (- (* y y)) (pow x 4)) (+ (- (* y y)) (pow x 4))) (+ (- (* y y)) (pow x 4))) (sqrt (+ (- (* y y)) (pow x 4))) (sqrt (+ (- (* y y)) (pow x 4))) (+ (pow (- (* y y)) 3) (pow (pow x 4) 3)) (+ (* (- (* y y)) (- (* y y))) (- (* (pow x 4) (pow x 4)) (* (- (* y y)) (pow x 4)))) (- (* (- (* y y)) (- (* y y))) (* (pow x 4) (pow x 4))) (- (- (* y y)) (pow x 4)) (+ (- (* y y)) (pow x 4)) (- (* y y) (pow x 4)) (/ (exp (* x x)) (exp y)) (log (- (* x x) y)) (exp (- (* x x) y)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))) (cbrt (- (* x x) y)) (* (* (- (* x x) y) (- (* x x) y)) (- (* x x) y)) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (- (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y))) (- y) (- (* (* x x) (* x x)) (* y y)) (+ (* x x) y) (+ x (sqrt y)) (- x (sqrt y)) (- y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (* -1 (pow y 2)) (- (pow x 4) (pow y 2)) (- (pow x 4) (pow y 2)) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) 0.377 * * [simplify]: iteration 0 : 271 enodes (cost 653 ) 0.385 * * [simplify]: iteration 1 : 1306 enodes (cost 577 ) 0.413 * * [simplify]: iteration 2 : 5001 enodes (cost 559 ) 0.417 * [simplify]: Simplified to: (log (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (log (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (exp (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (pow (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) 3) (* (cbrt (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (cbrt (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)))) (cbrt (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (pow (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) 3) (sqrt (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (sqrt (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))) (- (pow y 2) (pow x 4)) (- (- (* x x) y)) 0 (/ (- (* y y) (pow x 4)) (- (* x x) y)) (/ (* (cbrt (+ (- (* y y)) (pow x 4))) (cbrt (+ (- (* y y)) (pow x 4)))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (cbrt (+ (- (* y y)) (pow x 4))) (cbrt (- (* x x) y))) (/ (* (cbrt (+ (- (* y y)) (pow x 4))) (cbrt (+ (- (* y y)) (pow x 4)))) (sqrt (- (* x x) y))) (/ (cbrt (+ (- (* y y)) (pow x 4))) (sqrt (- (* x x) y))) (* (cbrt (+ (- (* y y)) (pow x 4))) (cbrt (+ (- (* y y)) (pow x 4)))) (/ (cbrt (+ (- (* y y)) (pow x 4))) (- (* x x) y)) (/ (* (cbrt (+ (- (* y y)) (pow x 4))) (cbrt (+ (- (* y y)) (pow x 4)))) (+ x (sqrt y))) (/ (cbrt (+ (- (* y y)) (pow x 4))) (- x (sqrt y))) (/ (sqrt (+ (- (* y y)) (pow x 4))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (sqrt (+ (- (* y y)) (pow x 4))) (cbrt (- (* x x) y))) (/ (sqrt (+ (- (* y y)) (pow x 4))) (sqrt (- (* x x) y))) (/ (sqrt (+ (- (* y y)) (pow x 4))) (sqrt (- (* x x) y))) (sqrt (+ (- (* y y)) (pow x 4))) (/ (sqrt (+ (- (* y y)) (pow x 4))) (- (* x x) y)) (/ (sqrt (+ (- (* y y)) (pow x 4))) (+ x (sqrt y))) (/ (sqrt (+ (- (* y y)) (pow x 4))) (- x (sqrt y))) (/ 1 (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (- (pow x 4) (pow y 2)) (cbrt (- (* x x) y))) (/ 1 (sqrt (- (* x x) y))) (/ (- (pow x 4) (pow y 2)) (sqrt (- (* x x) y))) 1 (/ (+ (pow x 2) y) 1) (/ 1 (+ x (sqrt y))) (/ (- (pow x 4) (pow y 2)) (- x (sqrt y))) (/ 1 (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (- (pow x 4) (pow y 2)) (cbrt (- (* x x) y))) (/ 1 (sqrt (- (* x x) y))) (/ (- (pow x 4) (pow y 2)) (sqrt (- (* x x) y))) 1 (/ (+ (pow x 2) y) 1) (/ 1 (+ x (sqrt y))) (/ (- (pow x 4) (pow y 2)) (- x (sqrt y))) (/ 1 (- (* x x) y)) (/ (- (pow x 2) y) (- (pow x 4) (pow y 2))) (/ (/ (- (pow x 4) (pow y 2)) (cbrt (- (* x x) y))) (cbrt (- (* x x) y))) (/ (- (pow x 4) (pow y 2)) (sqrt (- (* x x) y))) (- (pow x 4) (pow y 2)) (/ (- (pow x 4) (pow y 2)) (+ x (sqrt y))) (/ (- (* x x) y) (cbrt (+ (- (* y y)) (pow x 4)))) (/ (- (* x x) y) (sqrt (+ (- (* y y)) (pow x 4)))) (/ (- (pow x 2) y) (- (pow x 4) (pow y 2))) (/ (- (pow x 2) y) (- (pow x 4) (pow y 2))) (/ (- (pow x 4) (pow y 2)) (- (pow (* x x) 3) (pow y 3))) 1 (* (+ (pow x 8) (+ (* (pow y 2) (pow x 4)) (pow y 4))) (- (pow x 2) y)) (* (- (* x x) y) (- (- (* y y)) (pow x 4))) (exp (- (pow x 4) (pow y 2))) (exp (- (pow x 4) (pow y 2))) (log (- (pow x 4) (pow y 2))) (exp (- (pow x 4) (pow y 2))) (* (cbrt (+ (- (* y y)) (pow x 4))) (cbrt (+ (- (* y y)) (pow x 4)))) (cbrt (+ (- (* y y)) (pow x 4))) (pow (- (pow x 4) (pow y 2)) 3) (sqrt (+ (- (* y y)) (pow x 4))) (sqrt (+ (- (* y y)) (pow x 4))) (- (pow (pow x 4) 3) (pow (pow y 2) 3)) (+ (pow x 8) (+ (* (pow y 2) (pow x 4)) (pow y 4))) (+ (- (pow x 8)) (pow y 4)) (- (- (* y y)) (pow x 4)) (- (pow x 4) (pow y 2)) (- (pow y 2) (pow x 4)) (exp (- (* x x) y)) (log (- (pow x 2) y)) (exp (- (* x x) y)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))) (cbrt (- (* x x) y)) (pow (- (pow x 2) y) 3) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (- (pow (* x x) 3) (pow y 3)) (+ (+ (pow x 4) (pow y 2)) (* (* x x) y)) (* -1 y) (- (pow x 4) (pow y 2)) (+ (pow x 2) y) (+ x (sqrt y)) (- x (sqrt y)) (* -1 y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (* -1 (pow y 2)) (- (pow x 4) (pow y 2)) (- (pow x 4) (pow y 2)) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) 0.417 * * * [progress]: adding candidates to table 0.592 * [progress]: [Phase 3 of 3] Extracting. 0.592 * * [regime]: Finding splitpoints for: (# #) 0.592 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (+ (+ (* x x) y) y) y x) 0.592 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.605 * * * * [regimes]: Trying to branch on (+ (+ (* x x) y) y) from (# #) 0.615 * * * * [regimes]: Trying to branch on y from (# #) 0.626 * * * * [regimes]: Trying to branch on x from (# #) 0.638 * * * [regime]: Found split indices: #