0.769 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.301 * * * [progress]: [2/2] Setting up program. 0.306 * [progress]: [Phase 2 of 3] Improving. 0.308 * [simplify]: Simplifying using # : (* 0.5 (- (* x x) y)) 0.313 * * [simplify]: iteration 0 : 9 enodes (cost 3 ) 0.314 * * [simplify]: iteration 1 : 16 enodes (cost 3 ) 0.315 * * [simplify]: iteration 2 : 26 enodes (cost 3 ) 0.316 * * [simplify]: iteration 3 : 33 enodes (cost 3 ) 0.317 * * [simplify]: iteration 4 : 33 enodes (cost 3 ) 0.317 * [simplify]: Simplified to: (* 0.5 (- (* x x) y)) 0.319 * * [progress]: iteration 1 / 4 0.319 * * * [progress]: picking best candidate 0.322 * * * * [pick]: Picked # 0.322 * * * [progress]: localizing error 0.329 * * * [progress]: generating rewritten candidates 0.330 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.339 * * * [progress]: generating series expansions 0.339 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.343 * [approximate]: Approximating (- (pow x 2) y) in (x y) around 0 0.345 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.347 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.349 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.350 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.351 * [approximate]: Approximating (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.354 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.356 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.357 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.360 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.363 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.383 * [approximate]: Approximating (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.385 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.392 * * * [progress]: simplifying candidates 0.393 * [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))) (neg y) (- (* (* x x) (* x x)) (* y y)) (+ (* x x) y) (+ x (sqrt y)) (- x (sqrt y)) (neg y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) 0.395 * * [simplify]: iteration 0 : 73 enodes (cost 63 ) 0.397 * * [simplify]: iteration 1 : 216 enodes (cost 56 ) 0.401 * * [simplify]: iteration 2 : 535 enodes (cost 56 ) 0.413 * * [simplify]: iteration 3 : 1794 enodes (cost 56 ) 0.454 * * [simplify]: iteration 4 : 5001 enodes (cost 56 ) 0.456 * [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) (+ (neg (* 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) 0.456 * * * [progress]: adding candidates to table 0.483 * * [progress]: iteration 2 / 4 0.483 * * * [progress]: picking best candidate 0.486 * * * * [pick]: Picked # 0.487 * * * [progress]: localizing error 0.493 * * * [progress]: generating rewritten candidates 0.493 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.503 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.506 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 0.511 * * * [progress]: generating series expansions 0.512 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.512 * [approximate]: Approximating (* (- x (sqrt y)) (+ x (sqrt y))) in (x y) around 0 0.515 * [taylor]: Taking taylor expansion of (* (- x (sqrt y)) (+ x (sqrt y))) in y 0.517 * [taylor]: Taking taylor expansion of (* (- x (sqrt y)) (+ x (sqrt y))) in y 0.524 * [taylor]: Taking taylor expansion of (* (- x (sqrt y)) (+ x (sqrt y))) in y 0.527 * [taylor]: Taking taylor expansion of (* (- x (sqrt y)) (+ x (sqrt y))) in y 0.529 * [approximate]: Approximating (* (- (/ 1 x) (sqrt (/ 1 y))) (+ (sqrt (/ 1 y)) (/ 1 x))) in (x y) around 0 0.535 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt (/ 1 y))) (+ (sqrt (/ 1 y)) (/ 1 x))) in y 0.536 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt (/ 1 y))) (+ (sqrt (/ 1 y)) (/ 1 x))) in y 0.539 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt (/ 1 y))) (+ (sqrt (/ 1 y)) (/ 1 x))) in y 0.543 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt (/ 1 y))) (+ (sqrt (/ 1 y)) (/ 1 x))) in y 0.549 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt (/ 1 y))) (+ (sqrt (/ 1 y)) (/ 1 x))) in y 0.555 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt (/ 1 y))) (+ (sqrt (/ 1 y)) (/ 1 x))) in y 0.555 * [approximate]: Approximating (* -1 (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x)))) in (x y) around 0 0.562 * [taylor]: Taking taylor expansion of (* -1 (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x)))) in y 0.564 * [taylor]: Taking taylor expansion of (* -1 (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x)))) in y 0.568 * [taylor]: Taking taylor expansion of (* -1 (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x)))) in y 0.575 * [taylor]: Taking taylor expansion of (* -1 (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x)))) in y 0.581 * [taylor]: Taking taylor expansion of (* -1 (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x)))) in y 0.590 * [taylor]: Taking taylor expansion of (* -1 (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x)))) in y 0.602 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.602 * [approximate]: Approximating (+ x (sqrt y)) in (x y) around 0 0.606 * [taylor]: Taking taylor expansion of (+ x (sqrt y)) in y 0.607 * [taylor]: Taking taylor expansion of (+ x (sqrt y)) in y 0.608 * [taylor]: Taking taylor expansion of (+ x (sqrt y)) in y 0.612 * [approximate]: Approximating (+ (sqrt (/ 1 y)) (/ 1 x)) in (x y) around 0 0.616 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in y 0.616 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in y 0.619 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in y 0.620 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in y 0.625 * [approximate]: Approximating (- (sqrt (/ -1 y)) (/ 1 x)) in (x y) around 0 0.628 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in y 0.629 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in y 0.632 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in y 0.634 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in y 0.638 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 0.638 * [approximate]: Approximating (- x (sqrt y)) in (x y) around 0 0.640 * [taylor]: Taking taylor expansion of (- x (sqrt y)) in y 0.642 * [taylor]: Taking taylor expansion of (- x (sqrt y)) in y 0.644 * [taylor]: Taking taylor expansion of (- x (sqrt y)) in y 0.650 * [approximate]: Approximating (- (/ 1 x) (sqrt (/ 1 y))) in (x y) around 0 0.653 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ 1 y))) in y 0.654 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ 1 y))) in y 0.657 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ 1 y))) in y 0.659 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ 1 y))) in y 0.666 * [approximate]: Approximating (neg (+ (sqrt (/ -1 y)) (/ 1 x))) in (x y) around 0 0.669 * [taylor]: Taking taylor expansion of (neg (+ (sqrt (/ -1 y)) (/ 1 x))) in y 0.670 * [taylor]: Taking taylor expansion of (neg (+ (sqrt (/ -1 y)) (/ 1 x))) in y 0.673 * [taylor]: Taking taylor expansion of (neg (+ (sqrt (/ -1 y)) (/ 1 x))) in y 0.675 * [taylor]: Taking taylor expansion of (neg (+ (sqrt (/ -1 y)) (/ 1 x))) in y 0.682 * * * [progress]: simplifying candidates 0.683 * [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)) (neg (sqrt y))) (* (+ x (sqrt y)) x) (* (+ x (sqrt y)) (neg (sqrt y))) (* x (+ x (sqrt y))) (* (neg (sqrt y)) (+ x (sqrt y))) (* x (+ x (sqrt y))) (* (neg (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)))) (neg (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)) (neg (sqrt y)) (- (pow x 2) y) (- (pow x 2) y) (- (+ (pow x 2) (* 2 (/ (pow NAN 4) y))) (pow NAN 2)) (+ (* (pow NAN 3) (pow y 2)) (+ x (* NAN y))) (+ (/ (pow NAN 3) y) (+ NAN x)) (- (+ NAN x) (/ (pow NAN 3) y)) (- x (+ (* (pow NAN 3) (pow y 2)) (* NAN y))) (- x (+ (/ (pow NAN 3) y) NAN)) (- (+ (/ (pow NAN 3) y) x) NAN) 0.689 * * [simplify]: iteration 0 : 276 enodes (cost 427 ) 0.694 * * [simplify]: iteration 1 : 1216 enodes (cost 376 ) 0.717 * * [simplify]: iteration 2 : 5002 enodes (cost 365 ) 0.720 * [simplify]: Simplified to: (- (pow x 2) y) (log (- (pow x 2) y)) (log (- (pow x 2) y)) (exp (- (pow x 2) y)) (pow (- (pow x 2) y) 3) (* (cbrt (* (+ x (sqrt y)) (- x (sqrt y)))) (cbrt (* (+ x (sqrt y)) (- x (sqrt y))))) (cbrt (* (+ x (sqrt y)) (- x (sqrt y)))) (pow (- (pow x 2) y) 3) (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))) (* (+ (+ (pow x 2) y) (* x (sqrt y))) (- (+ (pow x 2) y) (* x (sqrt y)))) (* (+ (pow x 3) (pow (sqrt y) 3)) (- (pow x 2) y)) (* (+ x (sqrt y)) (- (+ (pow x 2) y) (* x (sqrt y)))) (* (- (pow x 2) y) (- (pow x 3) (pow (sqrt y) 3))) (* (+ (+ (pow x 2) y) (* x (sqrt 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))) (* -1 (+ (* x (sqrt y)) y)) (* x (+ x (sqrt y))) (* -1 (+ (* x (sqrt y)) y)) (* x (+ x (sqrt y))) (* -1 (+ (* x (sqrt y)) y)) (* x (+ x (sqrt y))) (* -1 (+ (* 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))) (* (- (pow x 2) 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)) (- (+ (pow x 2) y) (* x (sqrt y))) (- (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) (neg (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)) (neg (sqrt y)) (- (pow x 2) y) (- (pow x 2) y) (- (+ (pow x 2) (* 2 (/ (pow NAN 4) y))) (pow NAN 2)) (+ (* (pow NAN 3) (pow y 2)) (+ x (* NAN y))) (+ (/ (pow NAN 3) y) (+ NAN x)) (- (+ NAN x) (/ (pow NAN 3) y)) (- x (+ (* (pow NAN 3) (pow y 2)) (* NAN y))) (- x (+ (/ (pow NAN 3) y) NAN)) (- (+ (/ (pow NAN 3) y) x) NAN) 0.720 * * * [progress]: adding candidates to table 0.950 * [progress]: [Phase 3 of 3] Extracting. 0.950 * * [regime]: Finding splitpoints for: (# #) 0.951 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (- (* x x) y) (* 0.5 (- (* x x) y)) y x) 0.951 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.986 * * * * [regimes]: Trying to branch on (- (* x x) y) from (# #) 1.018 * * * * [regimes]: Trying to branch on (* 0.5 (- (* x x) y)) from (# #) 1.053 * * * * [regimes]: Trying to branch on y from (# #) 1.084 * * * * [regimes]: Trying to branch on x from (# #) 1.117 * * * [regime]: Found split indices: #