0.840 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.263 * * * [progress]: [2/2] Setting up program. 0.266 * [progress]: [Phase 2 of 3] Improving. 0.268 * [simplify]: Simplifying using # : (* 0.5 (- (* x x) y)) 0.274 * * [simplify]: iteration 0 : 9 enodes (cost 3 ) 0.275 * * [simplify]: iteration 1 : 16 enodes (cost 3 ) 0.277 * * [simplify]: iteration 2 : 26 enodes (cost 3 ) 0.278 * * [simplify]: iteration 3 : 33 enodes (cost 3 ) 0.280 * * [simplify]: iteration 4 : 33 enodes (cost 3 ) 0.280 * [simplify]: Simplified to: (* 0.5 (- (* x x) y)) 0.282 * * [progress]: iteration 1 / 4 0.282 * * * [progress]: picking best candidate 0.283 * * * * [pick]: Picked # 0.283 * * * [progress]: localizing error 0.290 * * * [progress]: generating rewritten candidates 0.290 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.298 * * * [progress]: generating series expansions 0.299 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.303 * [approximate]: Taking taylor expansion of (- (pow x 2) y) in (x y) around 0 0.304 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.304 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.304 * [taylor]: Taking taylor expansion of x in y 0.304 * [taylor]: Taking taylor expansion of y in y 0.305 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.305 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of y in x 0.305 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.305 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of y in x 0.305 * [taylor]: Taking taylor expansion of (- y) in y 0.305 * [taylor]: Taking taylor expansion of y in y 0.307 * [taylor]: Taking taylor expansion of 0 in y 0.308 * [taylor]: Taking taylor expansion of 1 in y 0.309 * [taylor]: Taking taylor expansion of 0 in y 0.310 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.310 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.310 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.310 * [taylor]: Taking taylor expansion of x in y 0.310 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.310 * [taylor]: Taking taylor expansion of y in y 0.311 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.311 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.311 * [taylor]: Taking taylor expansion of y in x 0.311 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.311 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.312 * [taylor]: Taking taylor expansion of y in x 0.312 * [taylor]: Taking taylor expansion of 1 in y 0.314 * [taylor]: Taking taylor expansion of 0 in y 0.315 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.315 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.315 * [taylor]: Taking taylor expansion of y in y 0.317 * [taylor]: Taking taylor expansion of 0 in y 0.319 * [taylor]: Taking taylor expansion of 0 in y 0.320 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.320 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.320 * [taylor]: Taking taylor expansion of x in y 0.320 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.321 * [taylor]: Taking taylor expansion of y in x 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.322 * [taylor]: Taking taylor expansion of y in x 0.322 * [taylor]: Taking taylor expansion of 1 in y 0.324 * [taylor]: Taking taylor expansion of 0 in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.326 * [taylor]: Taking taylor expansion of 0 in y 0.328 * [taylor]: Taking taylor expansion of 0 in y 0.329 * * * [progress]: simplifying candidates 0.329 * [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))) (- 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) 0.332 * * [simplify]: iteration 0 : 73 enodes (cost 63 ) 0.334 * * [simplify]: iteration 1 : 216 enodes (cost 56 ) 0.338 * * [simplify]: iteration 2 : 535 enodes (cost 56 ) 0.349 * * [simplify]: iteration 3 : 1794 enodes (cost 56 ) 0.391 * * [simplify]: iteration 4 : 5001 enodes (cost 56 ) 0.392 * [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)) (+ (+ (pow x 4) (* (* x x) y)) (* y y)) (- 0 y) (+ (- (* y y)) (pow x 4)) (+ (* x x) y) (+ x (sqrt y)) (- x (sqrt y)) (- 0 y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) 0.392 * * * [progress]: adding candidates to table 0.435 * * [progress]: iteration 2 / 4 0.435 * * * [progress]: picking best candidate 0.437 * * * * [pick]: Picked # 0.437 * * * [progress]: localizing error 0.449 * * * [progress]: generating rewritten candidates 0.449 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.460 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.466 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 0.471 * * * [progress]: generating series expansions 0.471 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.472 * [approximate]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) in (y x) around 0 0.472 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) in x 0.472 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.472 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.472 * [taylor]: Taking taylor expansion of y in x 0.472 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.472 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of y in x 0.472 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) in y 0.472 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.472 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.472 * [taylor]: Taking taylor expansion of x in y 0.472 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.472 * [taylor]: Taking taylor expansion of y in y 0.472 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.473 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.473 * [taylor]: Taking taylor expansion of x in y 0.473 * [taylor]: Taking taylor expansion of y in y 0.473 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) in y 0.473 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.473 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.473 * [taylor]: Taking taylor expansion of x in y 0.473 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.473 * [taylor]: Taking taylor expansion of y in y 0.473 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.473 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.473 * [taylor]: Taking taylor expansion of x in y 0.473 * [taylor]: Taking taylor expansion of y in y 0.474 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (- 1) in x 0.475 * [taylor]: Taking taylor expansion of 1 in x 0.477 * [taylor]: Taking taylor expansion of 0 in x 0.481 * [taylor]: Taking taylor expansion of 0 in x 0.486 * [taylor]: Taking taylor expansion of 0 in x 0.486 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in (y x) around 0 0.486 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.486 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.486 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.487 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.487 * [taylor]: Taking taylor expansion of y in x 0.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.487 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.488 * [taylor]: Taking taylor expansion of y in x 0.489 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.489 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.489 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.489 * [taylor]: Taking taylor expansion of x in y 0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.489 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.489 * [taylor]: Taking taylor expansion of y in y 0.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.489 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.489 * [taylor]: Taking taylor expansion of x in y 0.490 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.491 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.491 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.491 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.491 * [taylor]: Taking taylor expansion of x in y 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.491 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.491 * [taylor]: Taking taylor expansion of y in y 0.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.492 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.492 * [taylor]: Taking taylor expansion of x in y 0.492 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.492 * [taylor]: Taking taylor expansion of y in y 0.497 * [taylor]: Taking taylor expansion of -1 in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.499 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of 0 in x 0.507 * [taylor]: Taking taylor expansion of 0 in x 0.513 * [taylor]: Taking taylor expansion of 0 in x 0.521 * [taylor]: Taking taylor expansion of 0 in x 0.521 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in (y x) around 0 0.521 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.521 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.521 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.522 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.522 * [taylor]: Taking taylor expansion of y in x 0.522 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.522 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.522 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.523 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.523 * [taylor]: Taking taylor expansion of y in x 0.524 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.524 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.524 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.524 * [taylor]: Taking taylor expansion of x in y 0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.524 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.524 * [taylor]: Taking taylor expansion of y in y 0.524 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.524 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.524 * [taylor]: Taking taylor expansion of x in y 0.525 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.525 * [taylor]: Taking taylor expansion of y in y 0.526 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.526 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.526 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.526 * [taylor]: Taking taylor expansion of x in y 0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.526 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.526 * [taylor]: Taking taylor expansion of y in y 0.527 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.527 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.527 * [taylor]: Taking taylor expansion of x in y 0.527 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.527 * [taylor]: Taking taylor expansion of y in y 0.528 * [taylor]: Taking taylor expansion of 1 in x 0.531 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.531 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.534 * [taylor]: Taking taylor expansion of 0 in x 0.539 * [taylor]: Taking taylor expansion of 0 in x 0.546 * [taylor]: Taking taylor expansion of 0 in x 0.554 * [taylor]: Taking taylor expansion of 0 in x 0.554 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.554 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in (y x) around 0 0.554 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.554 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.554 * [taylor]: Taking taylor expansion of y in x 0.554 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.554 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.554 * [taylor]: Taking taylor expansion of x in y 0.554 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.554 * [taylor]: Taking taylor expansion of y in y 0.554 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.554 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.554 * [taylor]: Taking taylor expansion of x in y 0.554 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.554 * [taylor]: Taking taylor expansion of y in y 0.554 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.555 * [taylor]: Taking taylor expansion of 0 in x 0.556 * [taylor]: Taking taylor expansion of -1 in x 0.558 * [taylor]: Taking taylor expansion of 0 in x 0.561 * [taylor]: Taking taylor expansion of 0 in x 0.561 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (y x) around 0 0.561 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.561 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.561 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.562 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.562 * [taylor]: Taking taylor expansion of y in x 0.562 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.562 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.562 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.562 * [taylor]: Taking taylor expansion of x in y 0.562 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.562 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.562 * [taylor]: Taking taylor expansion of y in y 0.563 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.563 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.563 * [taylor]: Taking taylor expansion of x in y 0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.563 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.563 * [taylor]: Taking taylor expansion of y in y 0.564 * [taylor]: Taking taylor expansion of -1 in x 0.565 * [taylor]: Taking taylor expansion of 0 in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.566 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.569 * [taylor]: Taking taylor expansion of 0 in x 0.572 * [taylor]: Taking taylor expansion of 0 in x 0.577 * [taylor]: Taking taylor expansion of 0 in x 0.584 * [taylor]: Taking taylor expansion of 0 in x 0.587 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (y x) around 0 0.587 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.587 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.588 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.588 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.588 * [taylor]: Taking taylor expansion of y in x 0.588 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.588 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.588 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.588 * [taylor]: Taking taylor expansion of x in y 0.588 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.588 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.588 * [taylor]: Taking taylor expansion of y in y 0.589 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.589 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.589 * [taylor]: Taking taylor expansion of x in y 0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.589 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.589 * [taylor]: Taking taylor expansion of y in y 0.590 * [taylor]: Taking taylor expansion of -1 in x 0.591 * [taylor]: Taking taylor expansion of 0 in x 0.593 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.593 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of 0 in x 0.599 * [taylor]: Taking taylor expansion of 0 in x 0.603 * [taylor]: Taking taylor expansion of 0 in x 0.608 * [taylor]: Taking taylor expansion of 0 in x 0.611 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 0.611 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.611 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.611 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.611 * [taylor]: Taking taylor expansion of x in y 0.611 * [taylor]: Taking taylor expansion of y in y 0.611 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.611 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of y in x 0.611 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.611 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of y in x 0.611 * [taylor]: Taking taylor expansion of y in y 0.611 * [taylor]: Taking taylor expansion of 0 in y 0.612 * [taylor]: Taking taylor expansion of 1 in y 0.613 * [taylor]: Taking taylor expansion of 0 in y 0.613 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.613 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.613 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.613 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.613 * [taylor]: Taking taylor expansion of x in y 0.613 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.613 * [taylor]: Taking taylor expansion of y in y 0.613 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.613 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.613 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.614 * [taylor]: Taking taylor expansion of y in x 0.614 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.614 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.614 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.615 * [taylor]: Taking taylor expansion of y in x 0.615 * [taylor]: Taking taylor expansion of 1 in y 0.616 * [taylor]: Taking taylor expansion of 0 in y 0.617 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.617 * [taylor]: Taking taylor expansion of y in y 0.618 * [taylor]: Taking taylor expansion of 0 in y 0.620 * [taylor]: Taking taylor expansion of 0 in y 0.621 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.621 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.621 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.621 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.621 * [taylor]: Taking taylor expansion of x in y 0.621 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.621 * [taylor]: Taking taylor expansion of y in y 0.621 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.621 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.622 * [taylor]: Taking taylor expansion of y in x 0.622 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.622 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.622 * [taylor]: Taking taylor expansion of y in x 0.623 * [taylor]: Taking taylor expansion of 1 in y 0.624 * [taylor]: Taking taylor expansion of 0 in y 0.625 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.625 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.625 * [taylor]: Taking taylor expansion of y in y 0.627 * [taylor]: Taking taylor expansion of 0 in y 0.629 * [taylor]: Taking taylor expansion of 0 in y 0.629 * * * [progress]: simplifying candidates 0.630 * [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)) (/ (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)) (/ 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 (* (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 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) (/ (+ (* 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))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) 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) 0.635 * * [simplify]: iteration 0 : 263 enodes (cost 582 ) 0.641 * * [simplify]: iteration 1 : 1316 enodes (cost 506 ) 0.669 * * [simplify]: iteration 2 : 5002 enodes (cost 488 ) 0.672 * [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)) (/ (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)) (/ 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 4) (pow y 2)) (+ (pow x 2) 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 4) (pow y 2)) (+ (pow x 2) y)) (/ 1 (+ (* x x) y)) (/ 1 (- (pow x 2) y)) (/ (/ (- (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)) (/ (+ (* x x) y) (cbrt (+ (- (* y y)) (pow x 4)))) (/ (+ (* x x) y) (sqrt (+ (- (* y y)) (pow x 4)))) (/ 1 (- (pow x 2) y)) (/ 1 (- (pow x 2) y)) (/ (- (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)) (- (pow x 4) (pow y 2)) (- (pow x 2) 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) 0.672 * * * [progress]: adding candidates to table 0.838 * [progress]: [Phase 3 of 3] Extracting. 0.839 * * [regime]: Finding splitpoints for: (# #) 0.839 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (- (* x x) y) (* 0.5 (- (* x x) y)) y x) 0.840 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.852 * * * * [regimes]: Trying to branch on (- (* x x) y) from (# #) 0.866 * * * * [regimes]: Trying to branch on (* 0.5 (- (* x x) y)) from (# #) 0.877 * * * * [regimes]: Trying to branch on y from (# #) 0.889 * * * * [regimes]: Trying to branch on x from (# #) 0.902 * * * [regime]: Found split indices: #