6.391 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.046 * * * [progress]: [2/2] Setting up program. 0.048 * [progress]: [Phase 2 of 3] Improving. 0.049 * [simplify]: Simplifying using # : (- (pow x 4.0) (pow y 4.0)) 0.051 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.052 * * [simplify]: iteration 1 : 29 enodes (cost 3 ) 0.053 * * [simplify]: iteration 2 : 68 enodes (cost 3 ) 0.055 * * [simplify]: iteration 3 : 204 enodes (cost 3 ) 0.060 * * [simplify]: iteration 4 : 776 enodes (cost 3 ) 0.079 * * [simplify]: iteration 5 : 3986 enodes (cost 3 ) 0.182 * * [simplify]: iteration 6 : 5002 enodes (cost 3 ) 0.183 * [simplify]: Simplified to: (- (pow x 4.0) (pow y 4.0)) 0.183 * * [progress]: iteration 1 / 4 0.183 * * * [progress]: picking best candidate 0.185 * * * * [pick]: Picked # 0.185 * * * [progress]: localizing error 0.191 * * * [progress]: generating rewritten candidates 0.191 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.198 * * * [progress]: generating series expansions 0.198 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.199 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in (x y) around 0 0.199 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 0.199 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.199 * [taylor]: Taking taylor expansion of x in y 0.199 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.199 * [taylor]: Taking taylor expansion of y in y 0.199 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 0.199 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.199 * [taylor]: Taking taylor expansion of y in x 0.199 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 0.199 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.199 * [taylor]: Taking taylor expansion of y in x 0.199 * [taylor]: Taking taylor expansion of (- (pow y 4)) in y 0.199 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.199 * [taylor]: Taking taylor expansion of y in y 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.202 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0 0.203 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.204 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.204 * [taylor]: Taking taylor expansion of x in y 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.204 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.204 * [taylor]: Taking taylor expansion of y in y 0.204 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.205 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.205 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.205 * [taylor]: Taking taylor expansion of y in x 0.205 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.206 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.206 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.206 * [taylor]: Taking taylor expansion of y in x 0.207 * [taylor]: Taking taylor expansion of 1 in y 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.210 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.214 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.214 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.214 * [taylor]: Taking taylor expansion of y in y 0.217 * [taylor]: Taking taylor expansion of 0 in y 0.227 * [taylor]: Taking taylor expansion of 0 in y 0.230 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in (x y) around 0 0.230 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.230 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.230 * [taylor]: Taking taylor expansion of x in y 0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.230 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.230 * [taylor]: Taking taylor expansion of y in y 0.231 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.231 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.231 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.231 * [taylor]: Taking taylor expansion of y in x 0.232 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.232 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.233 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.233 * [taylor]: Taking taylor expansion of y in x 0.233 * [taylor]: Taking taylor expansion of 1 in y 0.234 * [taylor]: Taking taylor expansion of 0 in y 0.236 * [taylor]: Taking taylor expansion of 0 in y 0.238 * [taylor]: Taking taylor expansion of 0 in y 0.240 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.240 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.244 * [taylor]: Taking taylor expansion of 0 in y 0.248 * [taylor]: Taking taylor expansion of 0 in y 0.250 * * * [progress]: simplifying candidates 0.251 * [simplify]: Simplifying using # : (/ (exp (pow x 4.0)) (exp (pow y 4.0))) (log (- (pow x 4.0) (pow y 4.0))) (exp (- (pow x 4.0) (pow y 4.0))) (* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (- (pow x 4.0) (pow y 4.0))) (* (* (- (pow x 4.0) (pow y 4.0)) (- (pow x 4.0) (pow y 4.0))) (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3)) (+ (* (pow x 4.0) (pow x 4.0)) (+ (* (pow y 4.0) (pow y 4.0)) (* (pow x 4.0) (pow y 4.0)))) (- (pow y 4.0)) (- (* (pow x 4.0) (pow x 4.0)) (* (pow y 4.0) (pow y 4.0))) (+ (pow x 4.0) (pow y 4.0)) (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x 4.0) (pow y 4.0)) (- (pow x 4.0) (pow y 4.0)) (- (pow y 4.0)) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) 0.254 * * [simplify]: iteration 0 : 126 enodes (cost 172 ) 0.257 * * [simplify]: iteration 1 : 340 enodes (cost 165 ) 0.264 * * [simplify]: iteration 2 : 1287 enodes (cost 165 ) 0.295 * * [simplify]: iteration 3 : 5001 enodes (cost 165 ) 0.296 * [simplify]: Simplified to: (exp (- (pow x 4.0) (pow y 4.0))) (log (- (pow x 4.0) (pow y 4.0))) (exp (- (pow x 4.0) (pow y 4.0))) (* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0)))) (cbrt (- (pow x 4.0) (pow y 4.0))) (pow (- (pow x 4.0) (pow y 4.0)) 3) (sqrt (- (pow x 4.0) (pow y 4.0))) (sqrt (- (pow x 4.0) (pow y 4.0))) (- (pow (pow x 4.0) 3) (pow (pow y 4.0) 3)) (+ (* (pow y 4.0) (+ (pow y 4.0) (pow x 4.0))) (pow x (* 2 4.0))) (- (pow y 4.0)) (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)) (+ (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (- (pow (sqrt x) 4.0) (pow (sqrt y) 4.0)) (+ (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (- (pow (sqrt x) 4.0) (sqrt (pow y 4.0))) (+ (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (- (pow (sqrt x) 4.0) (pow y (/ 4.0 2))) (+ (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (- (sqrt (pow x 4.0)) (pow (sqrt y) 4.0)) (+ (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (- (sqrt (pow x 4.0)) (sqrt (pow y 4.0))) (+ (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (- (sqrt (pow x 4.0)) (pow y (/ 4.0 2))) (+ (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (- (pow x (/ 4.0 2)) (pow (sqrt y) 4.0)) (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (+ (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x (/ 4.0 2)) (pow y (/ 4.0 2))) (- (pow x 4.0) (pow y 4.0)) (- (pow x 4.0) (pow y 4.0)) (- (pow y 4.0)) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) 0.297 * * * [progress]: adding candidates to table 0.349 * * [progress]: iteration 2 / 4 0.349 * * * [progress]: picking best candidate 0.351 * * * * [pick]: Picked # 0.352 * * * [progress]: localizing error 0.364 * * * [progress]: generating rewritten candidates 0.364 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.383 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.396 * * * [progress]: generating series expansions 0.396 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.397 * [approximate]: Taking taylor expansion of (/ (- (pow x 8) (pow y 8)) (+ (pow x 4) (pow y 4))) in (x y) around 0 0.397 * [taylor]: Taking taylor expansion of (/ (- (pow x 8) (pow y 8)) (+ (pow x 4) (pow y 4))) in y 0.397 * [taylor]: Taking taylor expansion of (- (pow x 8) (pow y 8)) in y 0.398 * [taylor]: Taking taylor expansion of (pow x 8) in y 0.398 * [taylor]: Taking taylor expansion of x in y 0.398 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.398 * [taylor]: Taking taylor expansion of y in y 0.398 * [taylor]: Taking taylor expansion of (+ (pow x 4) (pow y 4)) in y 0.398 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.398 * [taylor]: Taking taylor expansion of x in y 0.398 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.398 * [taylor]: Taking taylor expansion of y in y 0.398 * [taylor]: Taking taylor expansion of (/ (- (pow x 8) (pow y 8)) (+ (pow x 4) (pow y 4))) in x 0.398 * [taylor]: Taking taylor expansion of (- (pow x 8) (pow y 8)) in x 0.398 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.398 * [taylor]: Taking taylor expansion of y in x 0.398 * [taylor]: Taking taylor expansion of (+ (pow x 4) (pow y 4)) in x 0.398 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.398 * [taylor]: Taking taylor expansion of y in x 0.399 * [taylor]: Taking taylor expansion of (/ (- (pow x 8) (pow y 8)) (+ (pow x 4) (pow y 4))) in x 0.399 * [taylor]: Taking taylor expansion of (- (pow x 8) (pow y 8)) in x 0.399 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.399 * [taylor]: Taking taylor expansion of y in x 0.399 * [taylor]: Taking taylor expansion of (+ (pow x 4) (pow y 4)) in x 0.399 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.399 * [taylor]: Taking taylor expansion of y in x 0.400 * [taylor]: Taking taylor expansion of (* -1 (pow y 4)) in y 0.400 * [taylor]: Taking taylor expansion of -1 in y 0.400 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.400 * [taylor]: Taking taylor expansion of y in y 0.401 * [taylor]: Taking taylor expansion of 0 in y 0.404 * [taylor]: Taking taylor expansion of 0 in y 0.408 * [taylor]: Taking taylor expansion of 0 in y 0.409 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 0.409 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 0.409 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in y 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in y 0.409 * [taylor]: Taking taylor expansion of (pow x 8) in y 0.409 * [taylor]: Taking taylor expansion of x in y 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in y 0.410 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.410 * [taylor]: Taking taylor expansion of y in y 0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.411 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.411 * [taylor]: Taking taylor expansion of x in y 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.411 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.413 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 0.413 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.413 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in x 0.414 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.414 * [taylor]: Taking taylor expansion of y in x 0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.414 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.415 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.415 * [taylor]: Taking taylor expansion of y in x 0.419 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 0.419 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in x 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.419 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in x 0.420 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.420 * [taylor]: Taking taylor expansion of y in x 0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.421 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.422 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.422 * [taylor]: Taking taylor expansion of y in x 0.423 * [taylor]: Taking taylor expansion of 1 in y 0.426 * [taylor]: Taking taylor expansion of 0 in y 0.432 * [taylor]: Taking taylor expansion of 0 in y 0.436 * [taylor]: Taking taylor expansion of 0 in y 0.442 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.442 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.442 * [taylor]: Taking taylor expansion of y in y 0.450 * [taylor]: Taking taylor expansion of 0 in y 0.459 * [taylor]: Taking taylor expansion of 0 in y 0.462 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 0.462 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 0.462 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in y 0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in y 0.462 * [taylor]: Taking taylor expansion of (pow x 8) in y 0.462 * [taylor]: Taking taylor expansion of x in y 0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in y 0.462 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.463 * [taylor]: Taking taylor expansion of y in y 0.463 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.463 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.463 * [taylor]: Taking taylor expansion of x in y 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.464 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.464 * [taylor]: Taking taylor expansion of y in y 0.465 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 0.465 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in x 0.465 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.465 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in x 0.466 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.466 * [taylor]: Taking taylor expansion of y in x 0.467 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.467 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.467 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.467 * [taylor]: Taking taylor expansion of y in x 0.468 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) (+ (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 0.468 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.468 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in x 0.469 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.469 * [taylor]: Taking taylor expansion of y in x 0.470 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.470 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.470 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.470 * [taylor]: Taking taylor expansion of y in x 0.471 * [taylor]: Taking taylor expansion of 1 in y 0.475 * [taylor]: Taking taylor expansion of 0 in y 0.479 * [taylor]: Taking taylor expansion of 0 in y 0.484 * [taylor]: Taking taylor expansion of 0 in y 0.489 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.489 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.489 * [taylor]: Taking taylor expansion of y in y 0.497 * [taylor]: Taking taylor expansion of 0 in y 0.512 * [taylor]: Taking taylor expansion of 0 in y 0.514 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.515 * [approximate]: Taking taylor expansion of (- (pow x 8) (pow y 8)) in (x y) around 0 0.515 * [taylor]: Taking taylor expansion of (- (pow x 8) (pow y 8)) in y 0.515 * [taylor]: Taking taylor expansion of (pow x 8) in y 0.515 * [taylor]: Taking taylor expansion of x in y 0.515 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.515 * [taylor]: Taking taylor expansion of y in y 0.515 * [taylor]: Taking taylor expansion of (- (pow x 8) (pow y 8)) in x 0.515 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.515 * [taylor]: Taking taylor expansion of y in x 0.515 * [taylor]: Taking taylor expansion of (- (pow x 8) (pow y 8)) in x 0.515 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.515 * [taylor]: Taking taylor expansion of y in x 0.516 * [taylor]: Taking taylor expansion of (- (pow y 8)) in y 0.516 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.516 * [taylor]: Taking taylor expansion of y in y 0.517 * [taylor]: Taking taylor expansion of 0 in y 0.518 * [taylor]: Taking taylor expansion of 0 in y 0.520 * [taylor]: Taking taylor expansion of 0 in y 0.521 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in (x y) around 0 0.521 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in y 0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in y 0.521 * [taylor]: Taking taylor expansion of (pow x 8) in y 0.521 * [taylor]: Taking taylor expansion of x in y 0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in y 0.521 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.521 * [taylor]: Taking taylor expansion of y in y 0.523 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in x 0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.523 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in x 0.524 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.524 * [taylor]: Taking taylor expansion of y in x 0.524 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.524 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in x 0.525 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.525 * [taylor]: Taking taylor expansion of y in x 0.526 * [taylor]: Taking taylor expansion of 1 in y 0.527 * [taylor]: Taking taylor expansion of 0 in y 0.529 * [taylor]: Taking taylor expansion of 0 in y 0.532 * [taylor]: Taking taylor expansion of 0 in y 0.534 * [taylor]: Taking taylor expansion of 0 in y 0.537 * [taylor]: Taking taylor expansion of 0 in y 0.540 * [taylor]: Taking taylor expansion of 0 in y 0.544 * [taylor]: Taking taylor expansion of 0 in y 0.548 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 8))) in y 0.548 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in y 0.548 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.548 * [taylor]: Taking taylor expansion of y in y 0.553 * [taylor]: Taking taylor expansion of 0 in y 0.561 * [taylor]: Taking taylor expansion of 0 in y 0.564 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in (x y) around 0 0.564 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in y 0.564 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in y 0.564 * [taylor]: Taking taylor expansion of (pow x 8) in y 0.564 * [taylor]: Taking taylor expansion of x in y 0.565 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in y 0.565 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.565 * [taylor]: Taking taylor expansion of y in y 0.566 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.566 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in x 0.567 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.567 * [taylor]: Taking taylor expansion of y in x 0.567 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 8)) (/ 1 (pow y 8))) in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow x 8)) in x 0.567 * [taylor]: Taking taylor expansion of (pow x 8) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in x 0.568 * [taylor]: Taking taylor expansion of (pow y 8) in x 0.568 * [taylor]: Taking taylor expansion of y in x 0.569 * [taylor]: Taking taylor expansion of 1 in y 0.570 * [taylor]: Taking taylor expansion of 0 in y 0.572 * [taylor]: Taking taylor expansion of 0 in y 0.575 * [taylor]: Taking taylor expansion of 0 in y 0.578 * [taylor]: Taking taylor expansion of 0 in y 0.581 * [taylor]: Taking taylor expansion of 0 in y 0.590 * [taylor]: Taking taylor expansion of 0 in y 0.593 * [taylor]: Taking taylor expansion of 0 in y 0.597 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 8))) in y 0.597 * [taylor]: Taking taylor expansion of (/ 1 (pow y 8)) in y 0.597 * [taylor]: Taking taylor expansion of (pow y 8) in y 0.597 * [taylor]: Taking taylor expansion of y in y 0.603 * [taylor]: Taking taylor expansion of 0 in y 0.610 * [taylor]: Taking taylor expansion of 0 in y 0.613 * * * [progress]: simplifying candidates 0.614 * [simplify]: Simplifying using # : (- (log (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (log (+ (pow x 4.0) (pow y 4.0)))) (log (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))) (exp (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))) (/ (* (* (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (* (* (+ (pow x 4.0) (pow y 4.0)) (+ (pow x 4.0) (pow y 4.0))) (+ (pow x 4.0) (pow y 4.0)))) (* (cbrt (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))) (cbrt (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0))))) (cbrt (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))) (* (* (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0))) (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))) (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))) (sqrt (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))) (sqrt (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))) (- (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (- (+ (pow x 4.0) (pow y 4.0))) (/ (pow x (* 2 4.0)) (+ (pow x 4.0) (pow y 4.0))) (/ (pow y (* 2 4.0)) (+ (pow x 4.0) (pow y 4.0))) (/ (+ (pow x (* 2 4.0)) 0) (+ (pow x 4.0) (pow y 4.0))) (/ (pow y (* 2 4.0)) (+ (pow x 4.0) (pow y 4.0))) (/ (pow x (* 2 4.0)) (+ (pow x 4.0) (pow y 4.0))) (/ (pow y (* 2 4.0)) (+ (pow x 4.0) (pow y 4.0))) (/ (* (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))))) (* (cbrt (+ (pow x 4.0) (pow y 4.0))) (cbrt (+ (pow x 4.0) (pow y 4.0))))) (/ (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (cbrt (+ (pow x 4.0) (pow y 4.0)))) (/ (* (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))))) (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ (* (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))))) 1) (/ (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (+ (pow x 4.0) (pow y 4.0))) (/ (* (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))))) (pow 1 4.0)) (/ (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (+ (pow x 4.0) (pow y 4.0))) (/ (* (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))))) 1) (/ (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (+ (pow x 4.0) (pow y 4.0))) (/ (sqrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (* (cbrt (+ (pow x 4.0) (pow y 4.0))) (cbrt (+ (pow x 4.0) (pow y 4.0))))) (/ (sqrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (cbrt (+ (pow x 4.0) (pow y 4.0)))) (/ (sqrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ (sqrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ (sqrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) 1) (/ (sqrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (+ (pow x 4.0) (pow y 4.0))) (/ (sqrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (pow 1 4.0)) (/ (sqrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (+ (pow x 4.0) (pow y 4.0))) (/ (sqrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) 1) (/ (sqrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (+ (pow x 4.0) (pow y 4.0))) (/ 1 (* (cbrt (+ (pow x 4.0) (pow y 4.0))) (cbrt (+ (pow x 4.0) (pow y 4.0))))) (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (cbrt (+ (pow x 4.0) (pow y 4.0)))) (/ 1 (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ 1 1) (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0))) (/ 1 (pow 1 4.0)) (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0))) (/ 1 1) (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0))) (/ (pow 1 (* 2 4.0)) (* (cbrt (+ (pow x 4.0) (pow y 4.0))) (cbrt (+ (pow x 4.0) (pow y 4.0))))) (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (cbrt (+ (pow x 4.0) (pow y 4.0)))) (/ (pow 1 (* 2 4.0)) (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ (pow 1 (* 2 4.0)) 1) (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0))) (/ (pow 1 (* 2 4.0)) (pow 1 4.0)) (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0))) (/ (pow 1 (* 2 4.0)) 1) (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0))) (/ 1 (* (cbrt (+ (pow x 4.0) (pow y 4.0))) (cbrt (+ (pow x 4.0) (pow y 4.0))))) (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (cbrt (+ (pow x 4.0) (pow y 4.0)))) (/ 1 (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ 1 1) (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0))) (/ 1 (pow 1 4.0)) (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0))) (/ 1 1) (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0))) (/ 1 (* (cbrt (+ (pow x 4.0) (pow y 4.0))) (cbrt (+ (pow x 4.0) (pow y 4.0))))) (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (cbrt (+ (pow x 4.0) (pow y 4.0)))) (/ 1 (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ 1 1) (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0))) (/ 1 (pow 1 4.0)) (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0))) (/ 1 1) (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0))) (/ 1 (+ (pow x 4.0) (pow y 4.0))) (/ (+ (pow x 4.0) (pow y 4.0)) (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (* (cbrt (+ (pow x 4.0) (pow y 4.0))) (cbrt (+ (pow x 4.0) (pow y 4.0))))) (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) 1) (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (pow 1 4.0)) (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) 1) (/ (+ (pow x 4.0) (pow y 4.0)) (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))))) (/ (+ (pow x 4.0) (pow y 4.0)) (sqrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))))) (/ (+ (pow x 4.0) (pow y 4.0)) (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (/ (+ (pow x 4.0) (pow y 4.0)) (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (/ (+ (pow x 4.0) (pow y 4.0)) (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (/ (+ (pow x 4.0) (pow y 4.0)) (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (- (* (pow x 4.0) (pow x 4.0)) (* (pow y 4.0) (pow y 4.0)))) (* (+ (pow x 4.0) (pow y 4.0)) (+ (* (pow x (* 2 4.0)) (pow x (* 2 4.0))) (- (* (- (pow y (* 2 4.0))) (- (pow y (* 2 4.0)))) (* (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))))) (* (+ (pow x 4.0) (pow y 4.0)) (- (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (* (exp (pow x (* 2 4.0))) (/ 1 (exp (pow y (* 2 4.0))))) (* (exp (pow x (* 2 4.0))) (exp (- (pow y (* 2 4.0))))) (log (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (exp (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (* (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))))) (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (* (* (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (sqrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (sqrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (+ (pow (pow x (* 2 4.0)) 3) (pow (- (pow y (* 2 4.0))) 3)) (+ (* (pow x (* 2 4.0)) (pow x (* 2 4.0))) (- (* (- (pow y (* 2 4.0))) (- (pow y (* 2 4.0)))) (* (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))))) (- (* (pow x (* 2 4.0)) (pow x (* 2 4.0))) (* (- (pow y (* 2 4.0))) (- (pow y (* 2 4.0))))) (- (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x (* 2 4.0)) 0) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) 0 (- (pow x 8) (pow y 8)) (- (pow x 8) (pow y 8)) 0.621 * * [simplify]: iteration 0 : 267 enodes (cost 1045 ) 0.627 * * [simplify]: iteration 1 : 1273 enodes (cost 948 ) 0.656 * * [simplify]: iteration 2 : 5001 enodes (cost 909 ) 0.662 * [simplify]: Simplified to: (log (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))) (log (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))) (exp (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))) (pow (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (+ (pow x 4.0) (pow y 4.0))) 3) (* (cbrt (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))) (cbrt (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0))))) (cbrt (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))) (pow (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (+ (pow x 4.0) (pow y 4.0))) 3) (sqrt (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))) (sqrt (/ (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0)))) (+ (pow y (* 2 4.0)) (- (pow x (* 2 4.0)))) (- (+ (pow x 4.0) (pow y 4.0))) (/ (pow x (* 2 4.0)) (+ (pow x 4.0) (pow y 4.0))) (/ (pow y (* 2 4.0)) (+ (pow x 4.0) (pow y 4.0))) (/ (pow x (* 2 4.0)) (+ (pow x 4.0) (pow y 4.0))) (/ (pow y (* 2 4.0)) (+ (pow x 4.0) (pow y 4.0))) (/ (pow x (* 2 4.0)) (+ (pow x 4.0) (pow y 4.0))) (/ (pow y (* 2 4.0)) (+ (pow x 4.0) (pow y 4.0))) (/ (* (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))))) (* (cbrt (+ (pow x 4.0) (pow y 4.0))) (cbrt (+ (pow x 4.0) (pow y 4.0))))) (/ (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (cbrt (+ (pow x 4.0) (pow y 4.0)))) (/ (* (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))))) (sqrt (+ (pow x 4.0) (pow y 4.0)))) (/ (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (sqrt (+ (pow x 4.0) (pow y 4.0)))) (* (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))))) (/ (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (+ (pow x 4.0) (pow y 4.0))) (* (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))))) (/ (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (+ (pow x 4.0) (pow y 4.0))) (* (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))))) (/ (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (+ (pow x 4.0) (pow y 4.0))) (/ (sqrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (* (cbrt (+ (pow x 4.0) 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(pow x (* 2 4.0)) (pow y (* 2 4.0))) (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (/ (+ (pow x 4.0) (pow y 4.0)) (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))))) (/ (+ (pow x 4.0) (pow y 4.0)) (sqrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))))) (/ 1 (- (pow x 4.0) (pow y 4.0))) (/ 1 (- (pow x 4.0) (pow y 4.0))) (/ 1 (- (pow x 4.0) (pow y 4.0))) (/ 1 (- (pow x 4.0) (pow y 4.0))) (/ (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (+ (pow (pow x 4.0) 3) (pow (pow y 4.0) 3))) 1 (* (+ (* (- (pow y (* 2 4.0))) (- (- (pow y (* 2 4.0))) (pow x (* 2 4.0)))) (pow x (* 2 (* 2 4.0)))) (+ (pow x 4.0) (pow y 4.0))) (* (+ (pow x 4.0) (pow y 4.0)) (- (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (exp (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (exp (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (log (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (exp (- (pow x (* 2 4.0)) (pow y (* 2 4.0)))) (* (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0)))))) (cbrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (pow (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) 3) (sqrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (sqrt (+ (pow x (* 2 4.0)) (- (pow y (* 2 4.0))))) (- (pow (pow x (* 2 4.0)) 3) (pow (pow y (* 2 4.0)) 3)) (+ (pow y (* 2 (* 2 4.0))) (+ (* (pow x (* 2 4.0)) (pow y (* 2 4.0))) (pow x (* 2 (* 2 4.0))))) (- (/ (pow (pow x 4.0) 4) 1) (/ (pow (pow y 4.0) 4) 1)) (+ (pow y (* 2 4.0)) (pow x (* 2 4.0))) (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (- (pow x (* 2 4.0)) (pow y (* 2 4.0))) (pow x (* 2 4.0)) 0 (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4)) 0 (- (pow x 8) (pow y 8)) (- (pow x 8) (pow y 8)) 0.662 * * * [progress]: adding candidates to table 0.814 * [progress]: [Phase 3 of 3] Extracting. 0.814 * * [regime]: Finding splitpoints for: (# #) 0.814 * * * [regime-changes]: Trying 5 branch expressions: ((pow y 4.0) (pow x 4.0) (- (pow x 4.0) (pow y 4.0)) y x) 0.814 * * * * [regimes]: Trying to branch on (pow y 4.0) from (# #) 0.829 * * * * [regimes]: Trying to branch on (pow x 4.0) from (# #) 0.848 * * * * [regimes]: Trying to branch on (- (pow x 4.0) (pow y 4.0)) from (# #) 0.869 * * * * [regimes]: Trying to branch on y from (# #) 0.883 * * * * [regimes]: Trying to branch on x from (# #) 0.899 * * * [regime]: Found split indices: #