0.788 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.262 * * * [progress]: [2/2] Setting up program. 0.265 * [progress]: [Phase 2 of 3] Improving. 0.267 * [simplify]: Simplifying using # : (* 0.5 (- (* x x) y)) 0.270 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.273 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.275 * * [simplify]: iteration 2 : 16 enodes (cost 7 ) 0.277 * * [simplify]: iteration 3 : 25 enodes (cost 7 ) 0.280 * * [simplify]: iteration 4 : 29 enodes (cost 7 ) 0.284 * * [simplify]: iteration done : 29 enodes (cost 7 ) 0.284 * [simplify]: Simplified to: (* 0.5 (- (* x x) y)) 0.285 * * [progress]: iteration 1 / 4 0.285 * * * [progress]: picking best candidate 0.287 * * * * [pick]: Picked # 0.287 * * * [progress]: localizing error 0.293 * * * [progress]: generating rewritten candidates 0.294 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.300 * * * [progress]: generating series expansions 0.301 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.305 * [approximate]: Taking taylor expansion of (- (pow x 2) y) in (x y) around 0 0.306 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.306 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.306 * [taylor]: Taking taylor expansion of x in y 0.307 * [taylor]: Taking taylor expansion of y in y 0.307 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.307 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.307 * [taylor]: Taking taylor expansion of y in x 0.307 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.307 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.307 * [taylor]: Taking taylor expansion of y in x 0.308 * [taylor]: Taking taylor expansion of (- y) in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.309 * [taylor]: Taking taylor expansion of 0 in y 0.310 * [taylor]: Taking taylor expansion of 1 in y 0.311 * [taylor]: Taking taylor expansion of 0 in y 0.312 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.312 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.312 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.312 * [taylor]: Taking taylor expansion of x in y 0.312 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.313 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.313 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.313 * [taylor]: Taking taylor expansion of y in x 0.313 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.313 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.314 * [taylor]: Taking taylor expansion of y in x 0.314 * [taylor]: Taking taylor expansion of 1 in y 0.316 * [taylor]: Taking taylor expansion of 0 in y 0.317 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.317 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.317 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of 0 in y 0.322 * [taylor]: Taking taylor expansion of 0 in y 0.323 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.323 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.323 * [taylor]: Taking taylor expansion of x in y 0.323 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.323 * [taylor]: Taking taylor expansion of y in y 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.323 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.324 * [taylor]: Taking taylor expansion of y in x 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.324 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.324 * [taylor]: Taking taylor expansion of y in x 0.325 * [taylor]: Taking taylor expansion of 1 in y 0.326 * [taylor]: Taking taylor expansion of 0 in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.328 * [taylor]: Taking taylor expansion of 0 in y 0.330 * [taylor]: Taking taylor expansion of 0 in y 0.330 * * * [progress]: simplifying candidates 0.331 * [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 : 32 enodes (cost 136 ) 0.338 * * [simplify]: iteration 1 : 74 enodes (cost 133 ) 0.364 * * [simplify]: iteration 2 : 187 enodes (cost 113 ) 0.425 * * [simplify]: iteration 3 : 333 enodes (cost 113 ) 0.493 * * [simplify]: iteration 4 : 712 enodes (cost 113 ) 0.695 * * [simplify]: iteration 5 : 1992 enodes (cost 113 ) 1.407 * * [simplify]: iteration done : 5001 enodes (cost 113 ) 1.408 * [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 (- (* x x) y) 3) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (- (pow x 6) (pow y 3)) (+ (* y (+ (* x x) y)) (pow x 4)) (- y) (- (pow x 4) (* y y)) (+ (* x x) y) (+ x (sqrt y)) (- x (sqrt y)) (- y) (- (* x x) y) (- (* x x) y) (- (* x x) y) 1.408 * * * [progress]: adding candidates to table 1.439 * * [progress]: iteration 2 / 4 1.439 * * * [progress]: picking best candidate 1.441 * * * * [pick]: Picked # 1.441 * * * [progress]: localizing error 1.448 * * * [progress]: generating rewritten candidates 1.448 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 1.472 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 1.476 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 1.481 * * * [progress]: generating series expansions 1.481 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 1.481 * [approximate]: Taking taylor expansion of (* (- x (sqrt y)) (+ x (sqrt y))) in (x y) around 0 1.481 * [taylor]: Taking taylor expansion of (* (- x (sqrt y)) (+ x (sqrt y))) in y 1.481 * [taylor]: Taking taylor expansion of (- x (sqrt y)) in y 1.481 * [taylor]: Taking taylor expansion of x in y 1.481 * [taylor]: Taking taylor expansion of (sqrt y) in y 1.481 * [taylor]: Taking taylor expansion of y in y 1.483 * [taylor]: Taking taylor expansion of (+ x (sqrt y)) in y 1.483 * [taylor]: Taking taylor expansion of x in y 1.483 * [taylor]: Taking taylor expansion of (sqrt y) in y 1.483 * [taylor]: Taking taylor expansion of y in y 1.484 * [taylor]: Taking taylor expansion of (* (- x (sqrt y)) (+ x (sqrt y))) in x 1.484 * [taylor]: Taking taylor expansion of (- x (sqrt y)) in x 1.484 * [taylor]: Taking taylor expansion of x in x 1.484 * [taylor]: Taking taylor expansion of (sqrt y) in x 1.484 * [taylor]: Taking taylor expansion of y in x 1.484 * [taylor]: Taking taylor expansion of (+ x (sqrt y)) in x 1.484 * [taylor]: Taking taylor expansion of x in x 1.484 * [taylor]: Taking taylor expansion of (sqrt y) in x 1.484 * [taylor]: Taking taylor expansion of y in x 1.484 * [taylor]: Taking taylor expansion of (* (- x (sqrt y)) (+ x (sqrt y))) in x 1.484 * [taylor]: Taking taylor expansion of (- x (sqrt y)) in x 1.484 * [taylor]: Taking taylor expansion of x in x 1.484 * [taylor]: Taking taylor expansion of (sqrt y) in x 1.484 * [taylor]: Taking taylor expansion of y in x 1.484 * [taylor]: Taking taylor expansion of (+ x (sqrt y)) in x 1.484 * [taylor]: Taking taylor expansion of x in x 1.484 * [taylor]: Taking taylor expansion of (sqrt y) in x 1.484 * [taylor]: Taking taylor expansion of y in x 1.484 * [taylor]: Taking taylor expansion of (* -1 y) in y 1.484 * [taylor]: Taking taylor expansion of -1 in y 1.484 * [taylor]: Taking taylor expansion of y in y 1.486 * [taylor]: Taking taylor expansion of 0 in y 1.488 * [taylor]: Taking taylor expansion of 1 in y 1.491 * [taylor]: Taking taylor expansion of 0 in y 1.492 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (sqrt (/ 1 y))) (+ (sqrt (/ 1 y)) (/ 1 x))) in (x y) around 0 1.492 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt (/ 1 y))) (+ (sqrt (/ 1 y)) (/ 1 x))) in y 1.492 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ 1 y))) in y 1.492 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.492 * [taylor]: Taking taylor expansion of x in y 1.492 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 1.492 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.492 * [taylor]: Taking taylor expansion of y in y 1.494 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in y 1.494 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 1.494 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.494 * [taylor]: Taking taylor expansion of y in y 1.495 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.495 * [taylor]: Taking taylor expansion of x in y 1.495 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt (/ 1 y))) (+ (sqrt (/ 1 y)) (/ 1 x))) in x 1.495 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ 1 y))) in x 1.495 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.495 * [taylor]: Taking taylor expansion of x in x 1.495 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 1.495 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.495 * [taylor]: Taking taylor expansion of y in x 1.496 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in x 1.496 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 1.496 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.496 * [taylor]: Taking taylor expansion of y in x 1.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.496 * [taylor]: Taking taylor expansion of x in x 1.496 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt (/ 1 y))) (+ (sqrt (/ 1 y)) (/ 1 x))) in x 1.496 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ 1 y))) in x 1.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.496 * [taylor]: Taking taylor expansion of x in x 1.496 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 1.496 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.496 * [taylor]: Taking taylor expansion of y in x 1.497 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in x 1.497 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 1.497 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.497 * [taylor]: Taking taylor expansion of y in x 1.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.497 * [taylor]: Taking taylor expansion of x in x 1.498 * [taylor]: Taking taylor expansion of 1 in y 1.502 * [taylor]: Taking taylor expansion of 0 in y 1.504 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.504 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.504 * [taylor]: Taking taylor expansion of y in y 1.508 * [taylor]: Taking taylor expansion of 0 in y 1.512 * [taylor]: Taking taylor expansion of 0 in y 1.517 * [taylor]: Taking taylor expansion of 0 in y 1.517 * [approximate]: Taking taylor expansion of (* -1 (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x)))) in (x y) around 0 1.517 * [taylor]: Taking taylor expansion of (* -1 (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x)))) in y 1.517 * [taylor]: Taking taylor expansion of -1 in y 1.517 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x))) in y 1.517 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 y)) (/ 1 x)) in y 1.517 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 1.517 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.517 * [taylor]: Taking taylor expansion of -1 in y 1.517 * [taylor]: Taking taylor expansion of y in y 1.519 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.519 * [taylor]: Taking taylor expansion of x in y 1.519 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in y 1.519 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 1.519 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.519 * [taylor]: Taking taylor expansion of -1 in y 1.519 * [taylor]: Taking taylor expansion of y in y 1.520 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.520 * [taylor]: Taking taylor expansion of x in y 1.520 * [taylor]: Taking taylor expansion of (* -1 (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x)))) in x 1.520 * [taylor]: Taking taylor expansion of -1 in x 1.520 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x))) in x 1.520 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 y)) (/ 1 x)) in x 1.520 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 1.520 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.520 * [taylor]: Taking taylor expansion of -1 in x 1.520 * [taylor]: Taking taylor expansion of y in x 1.521 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.521 * [taylor]: Taking taylor expansion of x in x 1.521 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in x 1.521 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 1.521 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.521 * [taylor]: Taking taylor expansion of -1 in x 1.521 * [taylor]: Taking taylor expansion of y in x 1.521 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.521 * [taylor]: Taking taylor expansion of x in x 1.521 * [taylor]: Taking taylor expansion of (* -1 (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x)))) in x 1.521 * [taylor]: Taking taylor expansion of -1 in x 1.521 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x))) in x 1.522 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 y)) (/ 1 x)) in x 1.522 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 1.522 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.522 * [taylor]: Taking taylor expansion of -1 in x 1.522 * [taylor]: Taking taylor expansion of y in x 1.522 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.522 * [taylor]: Taking taylor expansion of x in x 1.522 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in x 1.522 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 1.522 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.522 * [taylor]: Taking taylor expansion of -1 in x 1.522 * [taylor]: Taking taylor expansion of y in x 1.522 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.522 * [taylor]: Taking taylor expansion of x in x 1.524 * [taylor]: Taking taylor expansion of 1 in y 1.525 * [taylor]: Taking taylor expansion of 0 in y 1.528 * [taylor]: Taking taylor expansion of (- (pow (sqrt (/ -1 y)) 2)) in y 1.528 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 y)) 2) in y 1.528 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 1.528 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.528 * [taylor]: Taking taylor expansion of -1 in y 1.528 * [taylor]: Taking taylor expansion of y in y 1.533 * [taylor]: Taking taylor expansion of 0 in y 1.538 * [taylor]: Taking taylor expansion of 0 in y 1.544 * [taylor]: Taking taylor expansion of 0 in y 1.549 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 1.550 * [approximate]: Taking taylor expansion of (+ x (sqrt y)) in (x y) around 0 1.550 * [taylor]: Taking taylor expansion of (+ x (sqrt y)) in y 1.550 * [taylor]: Taking taylor expansion of x in y 1.550 * [taylor]: Taking taylor expansion of (sqrt y) in y 1.550 * [taylor]: Taking taylor expansion of y in y 1.551 * [taylor]: Taking taylor expansion of (+ x (sqrt y)) in x 1.551 * [taylor]: Taking taylor expansion of x in x 1.551 * [taylor]: Taking taylor expansion of (sqrt y) in x 1.551 * [taylor]: Taking taylor expansion of y in x 1.551 * [taylor]: Taking taylor expansion of (+ x (sqrt y)) in x 1.551 * [taylor]: Taking taylor expansion of x in x 1.551 * [taylor]: Taking taylor expansion of (sqrt y) in x 1.551 * [taylor]: Taking taylor expansion of y in x 1.551 * [taylor]: Taking taylor expansion of (sqrt y) in y 1.551 * [taylor]: Taking taylor expansion of y in y 1.552 * [taylor]: Taking taylor expansion of 1 in y 1.553 * [taylor]: Taking taylor expansion of 0 in y 1.555 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in (x y) around 0 1.555 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in y 1.555 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 1.555 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.555 * [taylor]: Taking taylor expansion of y in y 1.556 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.556 * [taylor]: Taking taylor expansion of x in y 1.556 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in x 1.556 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 1.556 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.556 * [taylor]: Taking taylor expansion of y in x 1.557 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.557 * [taylor]: Taking taylor expansion of x in x 1.557 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in x 1.557 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 1.557 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.557 * [taylor]: Taking taylor expansion of y in x 1.557 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.557 * [taylor]: Taking taylor expansion of x in x 1.558 * [taylor]: Taking taylor expansion of 1 in y 1.558 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 1.558 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.558 * [taylor]: Taking taylor expansion of y in y 1.560 * [taylor]: Taking taylor expansion of 0 in y 1.561 * [taylor]: Taking taylor expansion of 0 in y 1.564 * [approximate]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in (x y) around 0 1.564 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in y 1.564 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 1.564 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.564 * [taylor]: Taking taylor expansion of -1 in y 1.564 * [taylor]: Taking taylor expansion of y in y 1.565 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.565 * [taylor]: Taking taylor expansion of x in y 1.565 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in x 1.565 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 1.565 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.565 * [taylor]: Taking taylor expansion of -1 in x 1.565 * [taylor]: Taking taylor expansion of y in x 1.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.566 * [taylor]: Taking taylor expansion of x in x 1.566 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in x 1.566 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 1.566 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.566 * [taylor]: Taking taylor expansion of -1 in x 1.566 * [taylor]: Taking taylor expansion of y in x 1.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.566 * [taylor]: Taking taylor expansion of x in x 1.567 * [taylor]: Taking taylor expansion of -1 in y 1.568 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 1.568 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.568 * [taylor]: Taking taylor expansion of -1 in y 1.568 * [taylor]: Taking taylor expansion of y in y 1.570 * [taylor]: Taking taylor expansion of 0 in y 1.571 * [taylor]: Taking taylor expansion of 0 in y 1.574 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 1.574 * [approximate]: Taking taylor expansion of (- x (sqrt y)) in (x y) around 0 1.574 * [taylor]: Taking taylor expansion of (- x (sqrt y)) in y 1.574 * [taylor]: Taking taylor expansion of x in y 1.574 * [taylor]: Taking taylor expansion of (sqrt y) in y 1.574 * [taylor]: Taking taylor expansion of y in y 1.575 * [taylor]: Taking taylor expansion of (- x (sqrt y)) in x 1.575 * [taylor]: Taking taylor expansion of x in x 1.575 * [taylor]: Taking taylor expansion of (sqrt y) in x 1.575 * [taylor]: Taking taylor expansion of y in x 1.575 * [taylor]: Taking taylor expansion of (- x (sqrt y)) in x 1.575 * [taylor]: Taking taylor expansion of x in x 1.575 * [taylor]: Taking taylor expansion of (sqrt y) in x 1.575 * [taylor]: Taking taylor expansion of y in x 1.575 * [taylor]: Taking taylor expansion of (- (sqrt y)) in y 1.575 * [taylor]: Taking taylor expansion of (sqrt y) in y 1.576 * [taylor]: Taking taylor expansion of y in y 1.577 * [taylor]: Taking taylor expansion of 1 in y 1.579 * [taylor]: Taking taylor expansion of 0 in y 1.581 * [approximate]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ 1 y))) in (x y) around 0 1.581 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ 1 y))) in y 1.581 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.582 * [taylor]: Taking taylor expansion of x in y 1.582 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 1.582 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.582 * [taylor]: Taking taylor expansion of y in y 1.583 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ 1 y))) in x 1.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.583 * [taylor]: Taking taylor expansion of x in x 1.583 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 1.583 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.583 * [taylor]: Taking taylor expansion of y in x 1.583 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ 1 y))) in x 1.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.583 * [taylor]: Taking taylor expansion of x in x 1.584 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 1.584 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.584 * [taylor]: Taking taylor expansion of y in x 1.587 * [taylor]: Taking taylor expansion of 1 in y 1.588 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 y))) in y 1.588 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 1.588 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.588 * [taylor]: Taking taylor expansion of y in y 1.591 * [taylor]: Taking taylor expansion of 0 in y 1.593 * [taylor]: Taking taylor expansion of 0 in y 1.596 * [approximate]: Taking taylor expansion of (- (+ (sqrt (/ -1 y)) (/ 1 x))) in (x y) around 0 1.596 * [taylor]: Taking taylor expansion of (- (+ (sqrt (/ -1 y)) (/ 1 x))) in y 1.596 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 y)) (/ 1 x)) in y 1.596 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 1.596 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.596 * [taylor]: Taking taylor expansion of -1 in y 1.596 * [taylor]: Taking taylor expansion of y in y 1.598 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.598 * [taylor]: Taking taylor expansion of x in y 1.598 * [taylor]: Taking taylor expansion of (- (+ (sqrt (/ -1 y)) (/ 1 x))) in x 1.598 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 y)) (/ 1 x)) in x 1.598 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 1.598 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.598 * [taylor]: Taking taylor expansion of -1 in x 1.598 * [taylor]: Taking taylor expansion of y in x 1.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.598 * [taylor]: Taking taylor expansion of x in x 1.598 * [taylor]: Taking taylor expansion of (- (+ (sqrt (/ -1 y)) (/ 1 x))) in x 1.598 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 y)) (/ 1 x)) in x 1.598 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 1.598 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.598 * [taylor]: Taking taylor expansion of -1 in x 1.598 * [taylor]: Taking taylor expansion of y in x 1.599 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.599 * [taylor]: Taking taylor expansion of x in x 1.599 * [taylor]: Taking taylor expansion of -1 in y 1.600 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 y))) in y 1.600 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 1.600 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.600 * [taylor]: Taking taylor expansion of -1 in y 1.600 * [taylor]: Taking taylor expansion of y in y 1.602 * [taylor]: Taking taylor expansion of 0 in y 1.604 * [taylor]: Taking taylor expansion of 0 in y 1.608 * * * [progress]: simplifying candidates 1.609 * [simplify]: Simplifying using # : (* (+ x (sqrt y)) (- x (sqrt y))) (+ (log (+ x (sqrt y))) (log (- x (sqrt y)))) (log (* (+ x (sqrt y)) (- x (sqrt y)))) (exp (* (+ x (sqrt y)) (- x (sqrt y)))) (* (* (* (+ x (sqrt y)) (+ x (sqrt y))) (+ x (sqrt y))) (* (* (- x (sqrt y)) (- x (sqrt y))) (- x (sqrt y)))) (* (cbrt (* (+ x (sqrt y)) (- x (sqrt y)))) (cbrt (* (+ x (sqrt y)) (- x (sqrt y))))) (cbrt (* (+ x (sqrt y)) (- x (sqrt y)))) (* (* (* (+ x (sqrt y)) (- x (sqrt y))) (* (+ x (sqrt y)) (- x (sqrt y)))) (* (+ x (sqrt y)) (- x (sqrt y)))) (sqrt (* (+ x (sqrt y)) (- x (sqrt y)))) (sqrt (* (+ x (sqrt y)) (- x (sqrt y)))) (* (+ (pow x 3) (pow (sqrt y) 3)) (- (pow x 3) (pow (sqrt y) 3))) (* (+ (* x x) (- (* (sqrt y) (sqrt y)) (* x (sqrt y)))) (+ (* x x) (+ (* (sqrt y) (sqrt y)) (* x (sqrt y))))) (* (+ (pow x 3) (pow (sqrt y) 3)) (- (* x x) (* (sqrt y) (sqrt y)))) (* (+ (* x x) (- (* (sqrt y) (sqrt y)) (* x (sqrt y)))) (+ x (sqrt y))) (* (- (* x x) (* (sqrt y) (sqrt y))) (- (pow x 3) (pow (sqrt y) 3))) (* (- x (sqrt y)) (+ (* x x) (+ (* (sqrt y) (sqrt y)) (* x (sqrt y))))) (* (- (* x x) (* (sqrt y) (sqrt y))) (- (* x x) (* (sqrt y) (sqrt y)))) (* (- x (sqrt y)) (+ x (sqrt y))) (* (sqrt (+ x (sqrt y))) (sqrt (- x (sqrt y)))) (* (sqrt (+ x (sqrt y))) (sqrt (- x (sqrt y)))) (* (+ x (sqrt y)) x) (* (+ x (sqrt y)) (- (sqrt y))) (* (+ x (sqrt y)) x) (* (+ x (sqrt y)) (- (sqrt y))) (* x (+ x (sqrt y))) (* (- (sqrt y)) (+ x (sqrt y))) (* x (+ x (sqrt y))) (* (- (sqrt y)) (+ x (sqrt y))) (* (+ x (sqrt y)) (* (cbrt (- x (sqrt y))) (cbrt (- x (sqrt y))))) (* (+ x (sqrt y)) (sqrt (- x (sqrt y)))) (* (+ x (sqrt y)) 1) (* (+ x (sqrt y)) (+ (sqrt x) (sqrt (sqrt y)))) (* (+ x (sqrt y)) (+ (sqrt x) (sqrt (sqrt y)))) (* (+ x (sqrt y)) 1) (* (cbrt (+ x (sqrt y))) (- x (sqrt y))) (* (sqrt (+ x (sqrt y))) (- x (sqrt y))) (* (+ x (sqrt y)) (- x (sqrt y))) (* (+ x (sqrt y)) (- x (sqrt y))) (* (+ x (sqrt y)) (- (pow x 3) (pow (sqrt y) 3))) (* (+ x (sqrt y)) (- (* x x) (* (sqrt y) (sqrt y)))) (* (+ (pow x 3) (pow (sqrt y) 3)) (- x (sqrt y))) (* (- (* x x) (* (sqrt y) (sqrt y))) (- x (sqrt y))) (* (exp x) (exp (sqrt y))) (log (+ x (sqrt y))) (exp (+ x (sqrt y))) (* (cbrt (+ x (sqrt y))) (cbrt (+ x (sqrt y)))) (cbrt (+ x (sqrt y))) (* (* (+ x (sqrt y)) (+ x (sqrt y))) (+ x (sqrt y))) (sqrt (+ x (sqrt y))) (sqrt (+ x (sqrt y))) (+ (pow x 3) (pow (sqrt y) 3)) (+ (* x x) (- (* (sqrt y) (sqrt y)) (* x (sqrt y)))) (- (* x x) (* (sqrt y) (sqrt y))) (- x (sqrt y)) (+ x (sqrt y)) (/ (exp x) (exp (sqrt y))) (log (- x (sqrt y))) (exp (- x (sqrt y))) (* (cbrt (- x (sqrt y))) (cbrt (- x (sqrt y)))) (cbrt (- x (sqrt y))) (* (* (- x (sqrt y)) (- x (sqrt y))) (- x (sqrt y))) (sqrt (- x (sqrt y))) (sqrt (- x (sqrt y))) (- (pow x 3) (pow (sqrt y) 3)) (+ (* x x) (+ (* (sqrt y) (sqrt y)) (* x (sqrt y)))) (- (sqrt y)) (- (* x x) (* (sqrt y) (sqrt y))) (+ x (sqrt y)) (+ (sqrt x) (sqrt (sqrt y))) (- (sqrt x) (sqrt (sqrt y))) (+ (sqrt x) (sqrt (sqrt y))) (- (sqrt x) (sqrt (sqrt y))) (- x (sqrt y)) (- (sqrt y)) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) (+ (* +nan.0 (/ 1 y)) (- +nan.0))) (- x (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))) (- x (+ (* +nan.0 (/ 1 y)) (- +nan.0))) (- x (+ (* +nan.0 (/ 1 y)) (- +nan.0))) (- x (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))) (- x (+ (* +nan.0 (/ 1 y)) (- +nan.0))) (- x (+ (* +nan.0 (/ 1 y)) (- +nan.0))) 1.612 * * [simplify]: iteration 0 : 91 enodes (cost 833 ) 1.629 * * [simplify]: iteration 1 : 240 enodes (cost 699 ) 1.682 * * [simplify]: iteration 2 : 870 enodes (cost 631 ) 2.423 * * [simplify]: iteration 3 : 3983 enodes (cost 625 ) 3.863 * * [simplify]: iteration done : 5001 enodes (cost 625 ) 3.864 * [simplify]: Simplified to: (- (pow x 2) y) (log (- (* x x) y)) (log (- (* x x) y)) (exp (- (pow x 2) y)) (pow (- (pow x 2) y) 3) (* (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 3) (pow (sqrt y) 3)) (- (pow x 3) (pow (sqrt y) 3))) (* (- y (* x (- (sqrt y) x))) (+ (* x (+ x (sqrt y))) y)) (* (- (* x x) y) (+ (pow x 3) (pow (sqrt y) 3))) (* (- y (* x (- (sqrt y) x))) (+ x (sqrt y))) (* (- (* x x) y) (- (pow x 3) (pow (sqrt y) 3))) (* (+ (* x (+ x (sqrt y))) y) (- x (sqrt y))) (* (- (pow x 2) y) (- (pow x 2) y)) (- (pow x 2) y) (* (sqrt (+ x (sqrt y))) (sqrt (- x (sqrt y)))) (* (sqrt (+ x (sqrt y))) (sqrt (- x (sqrt y)))) (* x (+ x (sqrt y))) (- (+ (* x (sqrt y)) y)) (* x (+ x (sqrt y))) (- (+ (* x (sqrt y)) y)) (* x (+ x (sqrt y))) (- (+ (* x (sqrt y)) y)) (* x (+ x (sqrt y))) (- (+ (* x (sqrt y)) y)) (* (+ x (sqrt y)) (* (cbrt (- x (sqrt y))) (cbrt (- x (sqrt y))))) (* (+ x (sqrt y)) (sqrt (- x (sqrt y)))) (+ x (sqrt y)) (* (+ x (sqrt y)) (+ (sqrt x) (sqrt (sqrt y)))) (* (+ x (sqrt y)) (+ (sqrt x) (sqrt (sqrt y)))) (+ x (sqrt y)) (* (cbrt (+ x (sqrt y))) (- x (sqrt y))) (* (sqrt (+ x (sqrt y))) (- x (sqrt y))) (- (pow x 2) y) (- (pow x 2) y) (* (+ x (sqrt y)) (- (pow x 3) (pow (sqrt y) 3))) (* (- (* x x) y) (+ x (sqrt y))) (* (+ (pow x 3) (pow (sqrt y) 3)) (- x (sqrt y))) (* (- (pow x 2) y) (- x (sqrt y))) (exp (+ x (sqrt y))) (log (+ x (sqrt y))) (exp (+ x (sqrt y))) (* (cbrt (+ x (sqrt y))) (cbrt (+ x (sqrt y)))) (cbrt (+ x (sqrt y))) (pow (+ x (sqrt y)) 3) (sqrt (+ x (sqrt y))) (sqrt (+ x (sqrt y))) (+ (pow x 3) (pow (sqrt y) 3)) (- y (* x (- (sqrt y) x))) (- (pow x 2) y) (- x (sqrt y)) (+ x (sqrt y)) (exp (- x (sqrt y))) (log (- x (sqrt y))) (exp (- x (sqrt y))) (* (cbrt (- x (sqrt y))) (cbrt (- x (sqrt y)))) (cbrt (- x (sqrt y))) (pow (- x (sqrt y)) 3) (sqrt (- x (sqrt y))) (sqrt (- x (sqrt y))) (- (pow x 3) (pow (sqrt y) 3)) (+ (* x (+ x (sqrt y))) y) (- (sqrt y)) (- (pow x 2) y) (+ x (sqrt y)) (+ (sqrt x) (sqrt (sqrt y))) (- (sqrt x) (sqrt (sqrt y))) (+ (sqrt x) (sqrt (sqrt y))) (- (sqrt x) (sqrt (sqrt y))) (- x (sqrt y)) (- (sqrt y)) (- (pow x 2) y) (- (pow x 2) y) (- (* x x) (- (/ +nan.0 y) +nan.0)) (- x (* +nan.0 (- (pow y 2) y))) (- x (- (/ +nan.0 y) +nan.0)) (- x (- (/ +nan.0 y) +nan.0)) (- x (* +nan.0 (- (pow y 2) y))) (- x (- (/ +nan.0 y) +nan.0)) (- x (- (/ +nan.0 y) +nan.0)) 3.864 * * * [progress]: adding candidates to table 4.001 * [progress]: [Phase 3 of 3] Extracting. 4.002 * * [regime]: Finding splitpoints for: (# #) 4.002 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (- (* x x) y) (* 0.5 (- (* x x) y)) y x) 4.003 * * * * [regimes]: Trying to branch on (* x x) from (# #) 4.014 * * * * [regimes]: Trying to branch on (- (* x x) y) from (# #) 4.028 * * * * [regimes]: Trying to branch on (* 0.5 (- (* x x) y)) from (# #) 4.040 * * * * [regimes]: Trying to branch on y from (# #) 4.051 * * * * [regimes]: Trying to branch on x from (# #) 4.063 * * * [regime]: Found split indices: #