0.863 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.270 * * * [progress]: [2/2] Setting up program. 0.273 * [progress]: [Phase 2 of 3] Improving. 0.275 * [simplify]: Simplifying using # : (* 0.5 (- (* x x) y)) 0.280 * * [simplify]: iteration 0 : 9 enodes (cost 3 ) 0.282 * * [simplify]: iteration 1 : 16 enodes (cost 3 ) 0.283 * * [simplify]: iteration 2 : 26 enodes (cost 3 ) 0.284 * * [simplify]: iteration 3 : 33 enodes (cost 3 ) 0.286 * * [simplify]: iteration 4 : 33 enodes (cost 3 ) 0.286 * [simplify]: Simplified to: (* 0.5 (- (* x x) y)) 0.288 * * [progress]: iteration 1 / 4 0.288 * * * [progress]: picking best candidate 0.290 * * * * [pick]: Picked # 0.290 * * * [progress]: localizing error 0.297 * * * [progress]: generating rewritten candidates 0.297 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.305 * * * [progress]: generating series expansions 0.305 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.310 * [approximate]: Taking taylor expansion of (- (pow x 2) y) in (x y) around 0 0.310 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.311 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.311 * [taylor]: Taking taylor expansion of x in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.311 * [taylor]: Taking taylor expansion of (- (pow x 2) y) 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 y in x 0.311 * [taylor]: Taking taylor expansion of (- (pow x 2) y) 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 y in x 0.312 * [taylor]: Taking taylor expansion of (- y) in y 0.312 * [taylor]: Taking taylor expansion of y in y 0.314 * [taylor]: Taking taylor expansion of 0 in y 0.315 * [taylor]: Taking taylor expansion of 1 in y 0.316 * [taylor]: Taking taylor expansion of 0 in y 0.317 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.317 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.317 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.317 * [taylor]: Taking taylor expansion of x in y 0.318 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.318 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.318 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.319 * [taylor]: Taking taylor expansion of y in x 0.319 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.319 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.319 * [taylor]: Taking taylor expansion of y in x 0.319 * [taylor]: Taking taylor expansion of 1 in y 0.321 * [taylor]: Taking taylor expansion of 0 in y 0.322 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.322 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.322 * [taylor]: Taking taylor expansion of y in y 0.324 * [taylor]: Taking taylor expansion of 0 in y 0.326 * [taylor]: Taking taylor expansion of 0 in y 0.327 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.327 * [taylor]: Taking taylor expansion of x in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.328 * [taylor]: Taking taylor expansion of y in x 0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.329 * [taylor]: Taking taylor expansion of y in x 0.329 * [taylor]: Taking taylor expansion of 1 in y 0.330 * [taylor]: Taking taylor expansion of 0 in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of 0 in y 0.335 * [taylor]: Taking taylor expansion of 0 in y 0.335 * * * [progress]: simplifying candidates 0.335 * [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) 0.338 * * [simplify]: iteration 0 : 73 enodes (cost 63 ) 0.340 * * [simplify]: iteration 1 : 216 enodes (cost 56 ) 0.344 * * [simplify]: iteration 2 : 535 enodes (cost 56 ) 0.357 * * [simplify]: iteration 3 : 1794 enodes (cost 56 ) 0.400 * * [simplify]: iteration 4 : 5001 enodes (cost 56 ) 0.401 * [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) 0.401 * * * [progress]: adding candidates to table 0.441 * * [progress]: iteration 2 / 4 0.441 * * * [progress]: picking best candidate 0.443 * * * * [pick]: Picked # 0.443 * * * [progress]: localizing error 0.455 * * * [progress]: generating rewritten candidates 0.455 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.466 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.471 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 0.477 * * * [progress]: generating series expansions 0.477 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.478 * [approximate]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) in (y x) around 0 0.478 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) in x 0.478 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.478 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.478 * [taylor]: Taking taylor expansion of y in x 0.478 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.478 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of y in x 0.478 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) in y 0.478 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.478 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.478 * [taylor]: Taking taylor expansion of x in y 0.478 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.478 * [taylor]: Taking taylor expansion of y in y 0.478 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.478 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.478 * [taylor]: Taking taylor expansion of x in y 0.478 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) in y 0.479 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.479 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.479 * [taylor]: Taking taylor expansion of x in y 0.479 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.479 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.479 * [taylor]: Taking taylor expansion of x in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (- 1) in x 0.481 * [taylor]: Taking taylor expansion of 1 in x 0.483 * [taylor]: Taking taylor expansion of 0 in x 0.487 * [taylor]: Taking taylor expansion of 0 in x 0.492 * [taylor]: Taking taylor expansion of 0 in x 0.492 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in (y x) around 0 0.492 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.492 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.493 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.493 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.493 * [taylor]: Taking taylor expansion of y in x 0.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.494 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.494 * [taylor]: Taking taylor expansion of y in x 0.495 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.495 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.495 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.495 * [taylor]: Taking taylor expansion of x in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.495 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.496 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.496 * [taylor]: Taking taylor expansion of x in y 0.496 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.496 * [taylor]: Taking taylor expansion of y in y 0.497 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.497 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.497 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.497 * [taylor]: Taking taylor expansion of x in y 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.497 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.497 * [taylor]: Taking taylor expansion of y in y 0.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.498 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.498 * [taylor]: Taking taylor expansion of x in y 0.498 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.498 * [taylor]: Taking taylor expansion of y in y 0.499 * [taylor]: Taking taylor expansion of -1 in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.502 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of 0 in x 0.514 * [taylor]: Taking taylor expansion of 0 in x 0.520 * [taylor]: Taking taylor expansion of 0 in x 0.528 * [taylor]: Taking taylor expansion of 0 in x 0.528 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in (y x) around 0 0.528 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.529 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.529 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.529 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.529 * [taylor]: Taking taylor expansion of y in x 0.529 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.529 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.530 * [taylor]: Taking taylor expansion of y in x 0.531 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.531 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.531 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.531 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.531 * [taylor]: Taking taylor expansion of x in y 0.531 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.531 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.531 * [taylor]: Taking taylor expansion of y in y 0.532 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.532 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.532 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.532 * [taylor]: Taking taylor expansion of x in y 0.532 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.532 * [taylor]: Taking taylor expansion of y in y 0.533 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.533 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.533 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.533 * [taylor]: Taking taylor expansion of x in y 0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.533 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.533 * [taylor]: Taking taylor expansion of y in y 0.534 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.534 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.534 * [taylor]: Taking taylor expansion of x in y 0.534 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.534 * [taylor]: Taking taylor expansion of y in y 0.536 * [taylor]: Taking taylor expansion of 1 in x 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.538 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.541 * [taylor]: Taking taylor expansion of 0 in x 0.546 * [taylor]: Taking taylor expansion of 0 in x 0.553 * [taylor]: Taking taylor expansion of 0 in x 0.561 * [taylor]: Taking taylor expansion of 0 in x 0.561 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.561 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in (y x) around 0 0.561 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.561 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.561 * [taylor]: Taking taylor expansion of y in x 0.561 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.561 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.561 * [taylor]: Taking taylor expansion of x in y 0.561 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.561 * [taylor]: Taking taylor expansion of y in y 0.561 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.561 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.561 * [taylor]: Taking taylor expansion of x in y 0.561 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.561 * [taylor]: Taking taylor expansion of y in y 0.562 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of 0 in x 0.563 * [taylor]: Taking taylor expansion of -1 in x 0.565 * [taylor]: Taking taylor expansion of 0 in x 0.568 * [taylor]: Taking taylor expansion of 0 in x 0.568 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (y x) around 0 0.568 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.568 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.569 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.569 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.569 * [taylor]: Taking taylor expansion of y in x 0.569 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.569 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.569 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.569 * [taylor]: Taking taylor expansion of x in y 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.570 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.570 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.570 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.570 * [taylor]: Taking taylor expansion of x in y 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.570 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.571 * [taylor]: Taking taylor expansion of -1 in x 0.573 * [taylor]: Taking taylor expansion of 0 in x 0.574 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.574 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.576 * [taylor]: Taking taylor expansion of 0 in x 0.580 * [taylor]: Taking taylor expansion of 0 in x 0.585 * [taylor]: Taking taylor expansion of 0 in x 0.590 * [taylor]: Taking taylor expansion of 0 in x 0.592 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (y x) around 0 0.592 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.592 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.593 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.593 * [taylor]: Taking taylor expansion of y in x 0.593 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.593 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.593 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.593 * [taylor]: Taking taylor expansion of x in y 0.594 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.594 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.594 * [taylor]: Taking taylor expansion of y in y 0.596 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.596 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.596 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.596 * [taylor]: Taking taylor expansion of x in y 0.597 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.597 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.597 * [taylor]: Taking taylor expansion of y in y 0.598 * [taylor]: Taking taylor expansion of -1 in x 0.599 * [taylor]: Taking taylor expansion of 0 in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.601 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of 0 in x 0.607 * [taylor]: Taking taylor expansion of 0 in x 0.612 * [taylor]: Taking taylor expansion of 0 in x 0.617 * [taylor]: Taking taylor expansion of 0 in x 0.619 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 0.619 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.619 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.620 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.620 * [taylor]: Taking taylor expansion of x in y 0.620 * [taylor]: Taking taylor expansion of y in y 0.620 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.620 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.620 * [taylor]: Taking taylor expansion of y in x 0.620 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.620 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.620 * [taylor]: Taking taylor expansion of y in x 0.620 * [taylor]: Taking taylor expansion of y in y 0.620 * [taylor]: Taking taylor expansion of 0 in y 0.621 * [taylor]: Taking taylor expansion of 1 in y 0.621 * [taylor]: Taking taylor expansion of 0 in y 0.622 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.622 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.622 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.622 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.622 * [taylor]: Taking taylor expansion of x in y 0.622 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.622 * [taylor]: Taking taylor expansion of y in y 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 0.623 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.623 * [taylor]: Taking taylor expansion of y in x 0.623 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.623 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.623 * [taylor]: Taking taylor expansion of y in x 0.624 * [taylor]: Taking taylor expansion of 1 in y 0.625 * [taylor]: Taking taylor expansion of 0 in y 0.626 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.626 * [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 0.630 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.630 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.630 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.630 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.630 * [taylor]: Taking taylor expansion of x in y 0.630 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.630 * [taylor]: Taking taylor expansion of y in y 0.630 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.630 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.630 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.631 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.631 * [taylor]: Taking taylor expansion of y in x 0.631 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.631 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.631 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.631 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.631 * [taylor]: Taking taylor expansion of y in x 0.632 * [taylor]: Taking taylor expansion of 1 in y 0.633 * [taylor]: Taking taylor expansion of 0 in y 0.634 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.634 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.634 * [taylor]: Taking taylor expansion of y in y 0.636 * [taylor]: Taking taylor expansion of 0 in y 0.638 * [taylor]: Taking taylor expansion of 0 in y 0.639 * * * [progress]: simplifying candidates 0.640 * [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) 0.645 * * [simplify]: iteration 0 : 263 enodes (cost 582 ) 0.651 * * [simplify]: iteration 1 : 1316 enodes (cost 506 ) 0.679 * * [simplify]: iteration 2 : 5002 enodes (cost 488 ) 0.682 * [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) 0.683 * * * [progress]: adding candidates to table 0.828 * * [progress]: iteration 3 / 4 0.828 * * * [progress]: picking best candidate 0.830 * * * * [pick]: Picked # 0.830 * * * [progress]: localizing error 0.842 * * * [progress]: generating rewritten candidates 0.842 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.858 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.864 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 0.870 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2) 0.876 * * * [progress]: generating series expansions 0.877 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.877 * [approximate]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) in (y x) around 0 0.877 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) in x 0.877 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.877 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.877 * [taylor]: Taking taylor expansion of y in x 0.877 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.877 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of y in x 0.877 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) in y 0.877 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.877 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.877 * [taylor]: Taking taylor expansion of x in y 0.877 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.877 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.877 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.877 * [taylor]: Taking taylor expansion of x in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.878 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (+ (pow x 2) y)) in y 0.878 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.878 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.878 * [taylor]: Taking taylor expansion of x in y 0.878 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.878 * [taylor]: Taking taylor expansion of y in y 0.878 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.878 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.878 * [taylor]: Taking taylor expansion of x in y 0.878 * [taylor]: Taking taylor expansion of y in y 0.878 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.878 * [taylor]: Taking taylor expansion of x in x 0.880 * [taylor]: Taking taylor expansion of (- 1) in x 0.880 * [taylor]: Taking taylor expansion of 1 in x 0.882 * [taylor]: Taking taylor expansion of 0 in x 0.886 * [taylor]: Taking taylor expansion of 0 in x 0.891 * [taylor]: Taking taylor expansion of 0 in x 0.891 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in (y x) around 0 0.891 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.891 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.891 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.891 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.891 * [taylor]: Taking taylor expansion of x in x 0.892 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.892 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.892 * [taylor]: Taking taylor expansion of y in x 0.892 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.892 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.892 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.892 * [taylor]: Taking taylor expansion of x in x 0.893 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.893 * [taylor]: Taking taylor expansion of y in x 0.893 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.893 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.894 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.894 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.894 * [taylor]: Taking taylor expansion of x in y 0.894 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.894 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.894 * [taylor]: Taking taylor expansion of y in y 0.894 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.894 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.894 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.894 * [taylor]: Taking taylor expansion of x in y 0.894 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.894 * [taylor]: Taking taylor expansion of y in y 0.896 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.896 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.896 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.896 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.896 * [taylor]: Taking taylor expansion of x in y 0.896 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.896 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.896 * [taylor]: Taking taylor expansion of y in y 0.896 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.896 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.896 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.896 * [taylor]: Taking taylor expansion of x in y 0.897 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.897 * [taylor]: Taking taylor expansion of y in y 0.898 * [taylor]: Taking taylor expansion of -1 in x 0.900 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.900 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of 0 in x 0.908 * [taylor]: Taking taylor expansion of 0 in x 0.914 * [taylor]: Taking taylor expansion of 0 in x 0.921 * [taylor]: Taking taylor expansion of 0 in x 0.922 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in (y x) around 0 0.922 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.922 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.922 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.922 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.922 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.923 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.923 * [taylor]: Taking taylor expansion of y in x 0.923 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.923 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.923 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.924 * [taylor]: Taking taylor expansion of y in x 0.924 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.924 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.924 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.924 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.924 * [taylor]: Taking taylor expansion of x in y 0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.925 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.925 * [taylor]: Taking taylor expansion of y in y 0.925 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.925 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.925 * [taylor]: Taking taylor expansion of x in y 0.925 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.925 * [taylor]: Taking taylor expansion of y in y 0.927 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.927 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.927 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.927 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.927 * [taylor]: Taking taylor expansion of x in y 0.927 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.927 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.927 * [taylor]: Taking taylor expansion of y in y 0.927 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.927 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.928 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.928 * [taylor]: Taking taylor expansion of x in y 0.928 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.929 * [taylor]: Taking taylor expansion of 1 in x 0.932 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.932 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.938 * [taylor]: Taking taylor expansion of 0 in x 0.943 * [taylor]: Taking taylor expansion of 0 in x 0.950 * [taylor]: Taking taylor expansion of 0 in x 0.958 * [taylor]: Taking taylor expansion of 0 in x 0.958 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.958 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in (y x) around 0 0.958 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.958 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.958 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.958 * [taylor]: Taking taylor expansion of y in x 0.958 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.958 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.958 * [taylor]: Taking taylor expansion of x in y 0.958 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.958 * [taylor]: Taking taylor expansion of y in y 0.958 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.958 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.958 * [taylor]: Taking taylor expansion of x in y 0.958 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.958 * [taylor]: Taking taylor expansion of y in y 0.958 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of 0 in x 0.960 * [taylor]: Taking taylor expansion of -1 in x 0.962 * [taylor]: Taking taylor expansion of 0 in x 0.965 * [taylor]: Taking taylor expansion of 0 in x 0.965 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (y x) around 0 0.965 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.965 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.965 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.966 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.966 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.966 * [taylor]: Taking taylor expansion of y in x 0.966 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.966 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.966 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.966 * [taylor]: Taking taylor expansion of x in y 0.966 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.966 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.966 * [taylor]: Taking taylor expansion of y in y 0.967 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.967 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.967 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.967 * [taylor]: Taking taylor expansion of x in y 0.967 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.967 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.967 * [taylor]: Taking taylor expansion of y in y 0.968 * [taylor]: Taking taylor expansion of -1 in x 0.969 * [taylor]: Taking taylor expansion of 0 in x 0.970 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.970 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.970 * [taylor]: Taking taylor expansion of x in x 0.973 * [taylor]: Taking taylor expansion of 0 in x 0.976 * [taylor]: Taking taylor expansion of 0 in x 0.981 * [taylor]: Taking taylor expansion of 0 in x 0.986 * [taylor]: Taking taylor expansion of 0 in x 0.988 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (y x) around 0 0.988 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.988 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.988 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.988 * [taylor]: Taking taylor expansion of x in x 0.989 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.989 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.989 * [taylor]: Taking taylor expansion of y in x 0.989 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.989 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.989 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.989 * [taylor]: Taking taylor expansion of x in y 0.989 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.989 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.990 * [taylor]: Taking taylor expansion of y in y 0.990 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.990 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.990 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.990 * [taylor]: Taking taylor expansion of x in y 0.990 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.990 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.990 * [taylor]: Taking taylor expansion of y in y 0.991 * [taylor]: Taking taylor expansion of -1 in x 0.992 * [taylor]: Taking taylor expansion of 0 in x 0.994 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.994 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.994 * [taylor]: Taking taylor expansion of x in x 0.996 * [taylor]: Taking taylor expansion of 0 in x 1.000 * [taylor]: Taking taylor expansion of 0 in x 1.004 * [taylor]: Taking taylor expansion of 0 in x 1.010 * [taylor]: Taking taylor expansion of 0 in x 1.012 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 1.012 * [approximate]: Taking taylor expansion of (/ 1 (+ (pow x 2) y)) in (x y) around 0 1.012 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) y)) in y 1.012 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 1.012 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.012 * [taylor]: Taking taylor expansion of x in y 1.012 * [taylor]: Taking taylor expansion of y in y 1.012 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) y)) in x 1.012 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.012 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.012 * [taylor]: Taking taylor expansion of x in x 1.012 * [taylor]: Taking taylor expansion of y in x 1.013 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) y)) in x 1.013 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.013 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.013 * [taylor]: Taking taylor expansion of x in x 1.013 * [taylor]: Taking taylor expansion of y in x 1.013 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.013 * [taylor]: Taking taylor expansion of y in y 1.014 * [taylor]: Taking taylor expansion of 0 in y 1.015 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.015 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.015 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.015 * [taylor]: Taking taylor expansion of y in y 1.021 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 1.021 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 y))) in y 1.021 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 1.021 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.021 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.021 * [taylor]: Taking taylor expansion of x in y 1.021 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.021 * [taylor]: Taking taylor expansion of y in y 1.022 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 y))) in x 1.022 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.022 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.022 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.022 * [taylor]: Taking taylor expansion of x in x 1.022 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.022 * [taylor]: Taking taylor expansion of y in x 1.023 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 y))) in x 1.023 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.023 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.023 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.023 * [taylor]: Taking taylor expansion of x in x 1.023 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.023 * [taylor]: Taking taylor expansion of y in x 1.024 * [taylor]: Taking taylor expansion of 1 in y 1.025 * [taylor]: Taking taylor expansion of 0 in y 1.027 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.027 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.027 * [taylor]: Taking taylor expansion of y in y 1.028 * [approximate]: Taking taylor expansion of (/ 1 (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 1.028 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 (pow x 2)) (/ 1 y))) in y 1.028 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 1.028 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.028 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.028 * [taylor]: Taking taylor expansion of x in y 1.028 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.029 * [taylor]: Taking taylor expansion of y in y 1.029 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 (pow x 2)) (/ 1 y))) in x 1.029 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.030 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.030 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.030 * [taylor]: Taking taylor expansion of y in x 1.031 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 (pow x 2)) (/ 1 y))) in x 1.031 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.031 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.031 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.031 * [taylor]: Taking taylor expansion of x in x 1.031 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.031 * [taylor]: Taking taylor expansion of y in x 1.032 * [taylor]: Taking taylor expansion of 1 in y 1.033 * [taylor]: Taking taylor expansion of 0 in y 1.035 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.035 * [taylor]: Taking taylor expansion of y in y 1.036 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2) 1.036 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 1.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 1.036 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.036 * [taylor]: Taking taylor expansion of x in y 1.036 * [taylor]: Taking taylor expansion of y in y 1.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.036 * [taylor]: Taking taylor expansion of y in x 1.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.036 * [taylor]: Taking taylor expansion of y in x 1.036 * [taylor]: Taking taylor expansion of y in y 1.037 * [taylor]: Taking taylor expansion of 0 in y 1.037 * [taylor]: Taking taylor expansion of 1 in y 1.038 * [taylor]: Taking taylor expansion of 0 in y 1.038 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 1.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 1.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.038 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.038 * [taylor]: Taking taylor expansion of x in y 1.038 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.038 * [taylor]: Taking taylor expansion of y in y 1.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.039 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.039 * [taylor]: Taking taylor expansion of y in x 1.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.040 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.040 * [taylor]: Taking taylor expansion of y in x 1.040 * [taylor]: Taking taylor expansion of 1 in y 1.041 * [taylor]: Taking taylor expansion of 0 in y 1.042 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.042 * [taylor]: Taking taylor expansion of y in y 1.044 * [taylor]: Taking taylor expansion of 0 in y 1.045 * [taylor]: Taking taylor expansion of 0 in y 1.046 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 1.046 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 1.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.046 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.046 * [taylor]: Taking taylor expansion of x in y 1.046 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.046 * [taylor]: Taking taylor expansion of y in y 1.046 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.046 * [taylor]: Taking taylor expansion of x in x 1.047 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.047 * [taylor]: Taking taylor expansion of y in x 1.047 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.047 * [taylor]: Taking taylor expansion of x in x 1.047 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.047 * [taylor]: Taking taylor expansion of y in x 1.048 * [taylor]: Taking taylor expansion of 1 in y 1.049 * [taylor]: Taking taylor expansion of 0 in y 1.050 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.050 * [taylor]: Taking taylor expansion of y in y 1.052 * [taylor]: Taking taylor expansion of 0 in y 1.054 * [taylor]: Taking taylor expansion of 0 in y 1.055 * * * [progress]: simplifying candidates 1.056 * [simplify]: Simplifying using # : (* (+ (- (* y y)) (pow x 4)) (/ 1 (+ (* x x) y))) (+ (log (+ (- (* y y)) (pow x 4))) (- (log (+ (* x x) y)))) (+ (log (+ (- (* y y)) (pow x 4))) (- 0 (log (+ (* x x) y)))) (+ (log (+ (- (* y y)) (pow x 4))) (- (log 1) (log (+ (* x x) y)))) (+ (log (+ (- (* y y)) (pow x 4))) (log (/ 1 (+ (* x x) y)))) (log (* (+ (- (* y y)) (pow x 4)) (/ 1 (+ (* x x) y)))) (exp (* (+ (- (* y y)) (pow x 4)) (/ 1 (+ (* x x) y)))) (* (* (* (+ (- (* y y)) (pow x 4)) (+ (- (* y y)) (pow x 4))) (+ (- (* y y)) (pow x 4))) (/ (* (* 1 1) 1) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)))) (* (* (* (+ (- (* y y)) (pow x 4)) (+ (- (* y y)) (pow x 4))) (+ (- (* y y)) (pow x 4))) (* (* (/ 1 (+ (* x x) y)) (/ 1 (+ (* x x) y))) (/ 1 (+ (* x x) y)))) (* (cbrt (* (+ (- (* y y)) (pow x 4)) (/ 1 (+ (* x x) y)))) (cbrt (* (+ (- (* y y)) (pow x 4)) (/ 1 (+ (* x x) y))))) (cbrt (* (+ (- (* y y)) (pow x 4)) (/ 1 (+ (* x x) y)))) (* (* (* (+ (- (* y y)) (pow x 4)) (/ 1 (+ (* x x) y))) (* (+ (- (* y y)) (pow x 4)) (/ 1 (+ (* x x) y)))) (* (+ (- (* y y)) (pow x 4)) (/ 1 (+ (* x x) y)))) (sqrt (* (+ (- (* y y)) (pow x 4)) (/ 1 (+ (* x x) y)))) (sqrt (* (+ (- (* y y)) (pow x 4)) (/ 1 (+ (* x x) y)))) (* (+ (pow (- (* y y)) 3) (pow (pow x 4) 3)) 1) (* (+ (* (- (* y y)) (- (* y y))) (- (* (pow x 4) (pow x 4)) (* (- (* y y)) (pow x 4)))) (+ (* x x) y)) (* (- (* (- (* y y)) (- (* y y))) (* (pow x 4) (pow x 4))) 1) (* (- (- (* y y)) (pow x 4)) (+ (* x x) y)) (* (sqrt (+ (- (* y y)) (pow x 4))) (sqrt (/ 1 (+ (* x x) y)))) (* (sqrt (+ (- (* y y)) (pow x 4))) (sqrt (/ 1 (+ (* x x) y)))) (* (sqrt (+ (- (* y y)) (pow x 4))) (/ (sqrt 1) (sqrt (+ (* x x) y)))) (* (sqrt (+ (- (* y y)) (pow x 4))) (/ (sqrt 1) (sqrt (+ (* x x) y)))) (* (sqrt (+ (- (* y y)) (pow x 4))) (/ 1 (sqrt (+ (* x x) y)))) (* (sqrt (+ (- (* y y)) (pow x 4))) (/ 1 (sqrt (+ (* x x) y)))) (* (+ (- (* y y)) (pow x 4)) (* (cbrt (/ 1 (+ (* x x) y))) (cbrt (/ 1 (+ (* x x) y))))) (* (+ (- (* y y)) (pow x 4)) (sqrt (/ 1 (+ (* x x) y)))) (* (+ (- (* y y)) (pow x 4)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))) (* (+ (- (* y y)) (pow x 4)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ (* x x) y)))) (* (+ (- (* y y)) (pow x 4)) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (+ (- (* y y)) (pow x 4)) (/ (sqrt 1) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))) (* (+ (- (* y y)) (pow x 4)) (/ (sqrt 1) (sqrt (+ (* x x) y)))) (* (+ (- (* y y)) (pow x 4)) (/ (sqrt 1) 1)) (* (+ (- (* y y)) (pow x 4)) (/ 1 (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))) (* (+ (- (* y y)) (pow x 4)) (/ 1 (sqrt (+ (* x x) y)))) (* (+ (- (* y y)) (pow x 4)) (/ 1 1)) (* (+ (- (* y y)) (pow x 4)) 1) (* (+ (- (* y y)) (pow x 4)) 1) (* (+ (- (* y y)) (pow x 4)) (/ 1 (+ (pow (* x x) 3) (pow y 3)))) (* (+ (- (* y y)) (pow x 4)) (/ 1 (- (* (* x x) (* x x)) (* y y)))) (* (cbrt (+ (- (* y y)) (pow x 4))) (/ 1 (+ (* x x) y))) (* (sqrt (+ (- (* y y)) (pow x 4))) (/ 1 (+ (* x x) y))) (* (+ (- (* y y)) (pow x 4)) (/ 1 (+ (* x x) y))) (* (+ (- (* y y)) (pow x 4)) (/ 1 (+ (* x x) y))) (* (+ (- (* y y)) (pow x 4)) 1) (* (+ (pow (- (* y y)) 3) (pow (pow x 4) 3)) (/ 1 (+ (* x x) y))) (* (- (* (- (* y y)) (- (* y y))) (* (pow x 4) (pow x 4))) (/ 1 (+ (* x x) y))) (* (/ 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)) (- 1) (- (log (+ (* x x) y))) (- 0 (log (+ (* x x) y))) (- (log 1) (log (+ (* x x) y))) (log (/ 1 (+ (* x x) y))) (exp (/ 1 (+ (* x x) y))) (/ (* (* 1 1) 1) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y))) (* (cbrt (/ 1 (+ (* x x) y))) (cbrt (/ 1 (+ (* x x) y)))) (cbrt (/ 1 (+ (* x x) y))) (* (* (/ 1 (+ (* x x) y)) (/ 1 (+ (* x x) y))) (/ 1 (+ (* x x) y))) (sqrt (/ 1 (+ (* x x) y))) (sqrt (/ 1 (+ (* x x) y))) (- 1) (- (+ (* x x) y)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (/ (cbrt 1) (cbrt (+ (* x x) y))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ (* x x) y))) (/ (cbrt 1) (sqrt (+ (* x x) y))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ (* x x) y)) (/ (sqrt 1) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (/ (sqrt 1) (cbrt (+ (* x x) y))) (/ (sqrt 1) (sqrt (+ (* x x) y))) (/ (sqrt 1) (sqrt (+ (* x x) y))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ (* x x) y)) (/ 1 (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (/ 1 (cbrt (+ (* x x) y))) (/ 1 (sqrt (+ (* x x) y))) (/ 1 (sqrt (+ (* x x) y))) (/ 1 1) (/ 1 (+ (* x x) y)) (/ 1 (+ (* x x) y)) (/ (+ (* x x) y) 1) (/ 1 (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (/ 1 (sqrt (+ (* x x) y))) (/ 1 1) (/ (+ (* x x) y) (cbrt 1)) (/ (+ (* x x) y) (sqrt 1)) (/ (+ (* x x) y) 1) (/ 1 (+ (pow (* x x) 3) (pow y 3))) (/ 1 (- (* (* x x) (* x x)) (* y y))) (* (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)) 0 0 0 (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 1.062 * * [simplify]: iteration 0 : 379 enodes (cost 820 ) 1.072 * * [simplify]: iteration 1 : 2227 enodes (cost 675 ) 1.120 * * [simplify]: iteration 2 : 5001 enodes (cost 647 ) 1.124 * [simplify]: Simplified to: (/ (- (pow x 4) (pow y 2)) (+ (* x x) y)) (- (log (- (pow x 4) (pow y 2))) (log (+ (* x x) y))) (- (log (- (pow x 4) (pow y 2))) (log (+ (* x x) y))) (- (log (- (pow x 4) (pow y 2))) (log (+ (* x x) y))) (- (log (- (pow x 4) (pow y 2))) (log (+ (* x x) y))) (- (log (- (pow x 4) (pow y 2))) (log (+ (* x x) y))) (pow (exp (- (pow x 4) (pow y 2))) (/ 1 (+ (* x x) y))) (pow (/ (- (pow x 4) (pow y 2)) (+ (* x x) y)) 3) (pow (/ (- (pow x 4) (pow y 2)) (+ (* x x) y)) 3) (* (cbrt (* (+ (- (* y y)) (pow x 4)) (/ 1 (+ (* x x) y)))) (cbrt (* (+ (- (* y y)) (pow x 4)) (/ 1 (+ (* x x) y))))) (cbrt (* (+ (- (* y y)) (pow x 4)) (/ 1 (+ (* x x) y)))) (pow (/ (- (pow x 4) (pow y 2)) (+ (* x x) y)) 3) (sqrt (* (+ (- (* y y)) (pow x 4)) (/ 1 (+ (* x x) y)))) (sqrt (* (+ (- (* y y)) (pow x 4)) (/ 1 (+ (* x x) y)))) (- (pow (pow x 4) 3) (pow (pow y 2) 3)) (* (+ (* x x) y) (+ (pow x 8) (+ (* (pow y 2) (pow x 4)) (pow y 4)))) (+ (- (pow x 8)) (pow y 4)) (* (- (- (* y y)) (pow x 4)) (+ (* x x) y)) (* (sqrt (+ (- (* y y)) (pow x 4))) (sqrt (/ 1 (+ (* x x) y)))) (* (sqrt (+ (- (* y y)) (pow x 4))) (sqrt (/ 1 (+ (* x x) y)))) (/ (* (sqrt (+ (- (* y y)) (pow x 4))) 1) (sqrt (+ (* x x) y))) (/ (* (sqrt (+ (- (* y y)) (pow x 4))) 1) (sqrt (+ (* x x) y))) (/ (* (sqrt (+ (- (* y y)) (pow x 4))) 1) (sqrt (+ (* x x) y))) (/ (* (sqrt (+ (- (* y y)) (pow x 4))) 1) (sqrt (+ (* x x) y))) (* (* (- (pow x 4) (pow y 2)) (cbrt (/ 1 (+ (* x x) y)))) (cbrt (/ 1 (+ (* x x) y)))) (* (- (pow x 4) (pow y 2)) (sqrt (/ 1 (+ (* x x) y)))) (/ (/ (- (pow x 4) (pow y 2)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))) (/ (+ (- (* y y)) (pow x 4)) (sqrt (+ (* x x) y))) (- (pow x 4) (pow y 2)) (/ (/ (- (pow x 4) (pow y 2)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))) (/ (+ (- (* y y)) (pow x 4)) (sqrt (+ (* x x) y))) (- (pow x 4) (pow y 2)) (/ (/ (- (pow x 4) (pow y 2)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))) (/ (+ (- (* y y)) (pow x 4)) (sqrt (+ (* x x) y))) (- (pow x 4) (pow y 2)) (- (pow x 4) (pow y 2)) (- (pow x 4) (pow y 2)) (/ (+ (- (* y y)) (pow x 4)) (+ (pow (* x x) 3) (pow y 3))) 1 (/ (cbrt (+ (- (* y y)) (pow x 4))) (+ (* x x) y)) (/ (sqrt (+ (- (* y y)) (pow x 4))) (+ (* x x) y)) (/ (- (pow x 4) (pow y 2)) (+ (* x x) y)) (/ (- (pow x 4) (pow y 2)) (+ (* x x) y)) (- (pow x 4) (pow y 2)) (/ (+ (pow (- (* y y)) 3) (pow (pow x 4) 3)) (+ (* x x) y)) (/ (- (+ (- (pow y 4)) (pow x 8))) (+ (* x x) y)) (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)) (- (* y y) (pow x 4)) (- 1) (log (/ 1 (+ (* x x) y))) (log (/ 1 (+ (* x x) y))) (log (/ 1 (+ (* x x) y))) (log (/ 1 (+ (* x x) y))) (exp (/ 1 (+ (* x x) y))) (/ 1 (pow (+ (* x x) y) 3)) (* (cbrt (/ 1 (+ (* x x) y))) (cbrt (/ 1 (+ (* x x) y)))) (cbrt (/ 1 (+ (* x x) y))) (/ 1 (pow (+ (* x x) y) 3)) (sqrt (/ 1 (+ (* x x) y))) (sqrt (/ 1 (+ (* x x) y))) (- 1) (- (+ (* x x) y)) (/ 1 (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (/ 1 (cbrt (+ (* x x) y))) (/ 1 (sqrt (+ (* x x) y))) (/ 1 (sqrt (+ (* x x) y))) 1 (/ 1 (+ (* x x) y)) (/ 1 (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (/ 1 (cbrt (+ (* x x) y))) (/ 1 (sqrt (+ (* x x) y))) (/ 1 (sqrt (+ (* x x) y))) 1 (/ 1 (+ (* x x) y)) (/ 1 (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (/ 1 (cbrt (+ (* x x) y))) (/ 1 (sqrt (+ (* x x) y))) (/ 1 (sqrt (+ (* x x) y))) 1 (/ 1 (+ (* x x) y)) (/ 1 (+ (* x x) y)) (+ (* x x) y) (/ 1 (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (/ 1 (sqrt (+ (* x x) y))) 1 (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) (/ 1 (+ (pow (* x x) 3) (pow y 3))) (/ 1 (- (pow x 4) (pow y 2))) (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 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)) 0 0 0 (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) 1.125 * * * [progress]: adding candidates to table 1.333 * [progress]: [Phase 3 of 3] Extracting. 1.333 * * [regime]: Finding splitpoints for: (# #) 1.333 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (- (* x x) y) (* 0.5 (- (* x x) y)) y x) 1.334 * * * * [regimes]: Trying to branch on (* x x) from (# #) 1.347 * * * * [regimes]: Trying to branch on (- (* x x) y) from (# #) 1.361 * * * * [regimes]: Trying to branch on (* 0.5 (- (* x x) y)) from (# #) 1.374 * * * * [regimes]: Trying to branch on y from (# #) 1.386 * * * * [regimes]: Trying to branch on x from (# #) 1.400 * * * [regime]: Found split indices: #