15.309 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying using # : (sqrt (+ (* x x) (* y y))) 0.014 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.014 * * [simplify]: iteration 1 : 7 enodes (cost 8 ) 0.015 * * [simplify]: iteration done : 7 enodes (cost 8 ) 0.015 * [simplify]: Simplified to: (sqrt (+ (* x x) (* y y))) 0.015 * * [progress]: iteration 1 / 4 0.016 * * * [progress]: picking best candidate 0.017 * * * * [pick]: Picked # 0.017 * * * [progress]: localizing error 0.022 * * * [progress]: generating rewritten candidates 0.022 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.026 * * * [progress]: generating series expansions 0.026 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.026 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.026 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.026 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.026 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.026 * [taylor]: Taking taylor expansion of x in y 0.026 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.026 * [taylor]: Taking taylor expansion of y in y 0.027 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.027 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.027 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.027 * [taylor]: Taking taylor expansion of y in x 0.028 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.028 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.028 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.028 * [taylor]: Taking taylor expansion of y in x 0.028 * [taylor]: Taking taylor expansion of y in y 0.028 * [taylor]: Taking taylor expansion of 0 in y 0.029 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.030 * [taylor]: Taking taylor expansion of 1/2 in y 0.030 * [taylor]: Taking taylor expansion of y in y 0.031 * [taylor]: Taking taylor expansion of 0 in y 0.032 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.032 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.032 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.032 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.032 * [taylor]: Taking taylor expansion of x in y 0.032 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.032 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.035 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.035 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.037 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.037 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.038 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of 1 in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.042 * [taylor]: Taking taylor expansion of 1/2 in y 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.052 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of 1 in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.056 * [taylor]: Taking taylor expansion of 1/2 in y 0.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.060 * * * [progress]: simplifying candidates 0.060 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) y x (* -1 x) 0.062 * * [simplify]: iteration 0 : 38 enodes (cost 213 ) 0.068 * * [simplify]: iteration 1 : 91 enodes (cost 186 ) 0.084 * * [simplify]: iteration 2 : 207 enodes (cost 170 ) 0.122 * * [simplify]: iteration 3 : 459 enodes (cost 164 ) 0.221 * * [simplify]: iteration 4 : 1009 enodes (cost 164 ) 0.583 * * [simplify]: iteration 5 : 2575 enodes (cost 164 ) 1.456 * * [simplify]: iteration done : 5001 enodes (cost 164 ) 1.456 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) y x (- x) 1.456 * * * [progress]: adding candidates to table 1.496 * * [progress]: iteration 2 / 4 1.496 * * * [progress]: picking best candidate 1.500 * * * * [pick]: Picked # 1.500 * * * [progress]: localizing error 1.508 * * * [progress]: generating rewritten candidates 1.508 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.512 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.515 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.543 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.552 * * * [progress]: generating series expansions 1.552 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.553 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.553 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.553 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.553 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.553 * [taylor]: Taking taylor expansion of x in y 1.553 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.553 * [taylor]: Taking taylor expansion of y in y 1.553 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.553 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.553 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.553 * [taylor]: Taking taylor expansion of x in x 1.553 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.554 * [taylor]: Taking taylor expansion of y in x 1.554 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.554 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.554 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.554 * [taylor]: Taking taylor expansion of x in x 1.554 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.554 * [taylor]: Taking taylor expansion of y in x 1.555 * [taylor]: Taking taylor expansion of y in y 1.555 * [taylor]: Taking taylor expansion of 0 in y 1.556 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.556 * [taylor]: Taking taylor expansion of 1/2 in y 1.556 * [taylor]: Taking taylor expansion of y in y 1.558 * [taylor]: Taking taylor expansion of 0 in y 1.559 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.559 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.559 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.559 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.559 * [taylor]: Taking taylor expansion of x in y 1.559 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.559 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.559 * [taylor]: Taking taylor expansion of y in y 1.561 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.561 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.561 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.561 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.561 * [taylor]: Taking taylor expansion of x in x 1.562 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.562 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.562 * [taylor]: Taking taylor expansion of y in x 1.564 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.564 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.564 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.564 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.564 * [taylor]: Taking taylor expansion of x in x 1.564 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.564 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.564 * [taylor]: Taking taylor expansion of y in x 1.566 * [taylor]: Taking taylor expansion of 1 in y 1.566 * [taylor]: Taking taylor expansion of 0 in y 1.568 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.568 * [taylor]: Taking taylor expansion of 1/2 in y 1.568 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.568 * [taylor]: Taking taylor expansion of y in y 1.572 * [taylor]: Taking taylor expansion of 0 in y 1.573 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.573 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.573 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.573 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.573 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.573 * [taylor]: Taking taylor expansion of x in y 1.573 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.573 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.573 * [taylor]: Taking taylor expansion of y in y 1.575 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.575 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.575 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.575 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.575 * [taylor]: Taking taylor expansion of x in x 1.576 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.576 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.576 * [taylor]: Taking taylor expansion of y in x 1.578 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.578 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.578 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.578 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.578 * [taylor]: Taking taylor expansion of x in x 1.578 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.579 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.579 * [taylor]: Taking taylor expansion of y in x 1.581 * [taylor]: Taking taylor expansion of 1 in y 1.581 * [taylor]: Taking taylor expansion of 0 in y 1.582 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.582 * [taylor]: Taking taylor expansion of 1/2 in y 1.582 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.582 * [taylor]: Taking taylor expansion of y in y 1.586 * [taylor]: Taking taylor expansion of 0 in y 1.587 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.587 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.587 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.587 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.587 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.587 * [taylor]: Taking taylor expansion of x in y 1.587 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.587 * [taylor]: Taking taylor expansion of y in y 1.588 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.588 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.588 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.588 * [taylor]: Taking taylor expansion of x in x 1.588 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.588 * [taylor]: Taking taylor expansion of y in x 1.588 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.588 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.588 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.588 * [taylor]: Taking taylor expansion of x in x 1.588 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.588 * [taylor]: Taking taylor expansion of y in x 1.589 * [taylor]: Taking taylor expansion of y in y 1.589 * [taylor]: Taking taylor expansion of 0 in y 1.590 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.590 * [taylor]: Taking taylor expansion of 1/2 in y 1.590 * [taylor]: Taking taylor expansion of y in y 1.592 * [taylor]: Taking taylor expansion of 0 in y 1.593 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.593 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.593 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.593 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.593 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.593 * [taylor]: Taking taylor expansion of x in y 1.593 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.593 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.593 * [taylor]: Taking taylor expansion of y in y 1.595 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.596 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.596 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.596 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.596 * [taylor]: Taking taylor expansion of x in x 1.596 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.596 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.596 * [taylor]: Taking taylor expansion of y in x 1.598 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.598 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.598 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.598 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.598 * [taylor]: Taking taylor expansion of x in x 1.599 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.599 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.599 * [taylor]: Taking taylor expansion of y in x 1.601 * [taylor]: Taking taylor expansion of 1 in y 1.601 * [taylor]: Taking taylor expansion of 0 in y 1.603 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.603 * [taylor]: Taking taylor expansion of 1/2 in y 1.603 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.603 * [taylor]: Taking taylor expansion of y in y 1.606 * [taylor]: Taking taylor expansion of 0 in y 1.607 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.607 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.607 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.607 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.607 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.607 * [taylor]: Taking taylor expansion of x in y 1.607 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.607 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.607 * [taylor]: Taking taylor expansion of y in y 1.610 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.610 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.610 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.610 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.610 * [taylor]: Taking taylor expansion of x in x 1.610 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.610 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.610 * [taylor]: Taking taylor expansion of y in x 1.612 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.612 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.612 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.612 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.612 * [taylor]: Taking taylor expansion of x in x 1.613 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.613 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.613 * [taylor]: Taking taylor expansion of y in x 1.618 * [taylor]: Taking taylor expansion of 1 in y 1.618 * [taylor]: Taking taylor expansion of 0 in y 1.620 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.620 * [taylor]: Taking taylor expansion of 1/2 in y 1.620 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.620 * [taylor]: Taking taylor expansion of y in y 1.623 * [taylor]: Taking taylor expansion of 0 in y 1.624 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.624 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.624 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.624 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.624 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.624 * [taylor]: Taking taylor expansion of x in y 1.624 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.624 * [taylor]: Taking taylor expansion of y in y 1.625 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.625 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.625 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.625 * [taylor]: Taking taylor expansion of x in x 1.625 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.625 * [taylor]: Taking taylor expansion of y in x 1.625 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.625 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.626 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.626 * [taylor]: Taking taylor expansion of x in x 1.626 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.626 * [taylor]: Taking taylor expansion of y in x 1.626 * [taylor]: Taking taylor expansion of y in y 1.626 * [taylor]: Taking taylor expansion of 0 in y 1.627 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.627 * [taylor]: Taking taylor expansion of 1/2 in y 1.627 * [taylor]: Taking taylor expansion of y in y 1.629 * [taylor]: Taking taylor expansion of 0 in y 1.630 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.630 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.630 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.630 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.630 * [taylor]: Taking taylor expansion of x in y 1.630 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.630 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.630 * [taylor]: Taking taylor expansion of y in y 1.633 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.633 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.633 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.633 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.633 * [taylor]: Taking taylor expansion of x in x 1.633 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.634 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.634 * [taylor]: Taking taylor expansion of y in x 1.635 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.636 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.636 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.636 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.636 * [taylor]: Taking taylor expansion of x in x 1.636 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.636 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.636 * [taylor]: Taking taylor expansion of y in x 1.638 * [taylor]: Taking taylor expansion of 1 in y 1.638 * [taylor]: Taking taylor expansion of 0 in y 1.640 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.640 * [taylor]: Taking taylor expansion of 1/2 in y 1.640 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.640 * [taylor]: Taking taylor expansion of y in y 1.643 * [taylor]: Taking taylor expansion of 0 in y 1.645 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.645 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.645 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.645 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.645 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.645 * [taylor]: Taking taylor expansion of x in y 1.645 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.645 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.645 * [taylor]: Taking taylor expansion of y in y 1.647 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.647 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.647 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.647 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.647 * [taylor]: Taking taylor expansion of x in x 1.648 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.648 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.648 * [taylor]: Taking taylor expansion of y in x 1.650 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.650 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.650 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.650 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.650 * [taylor]: Taking taylor expansion of x in x 1.650 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.650 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.650 * [taylor]: Taking taylor expansion of y in x 1.652 * [taylor]: Taking taylor expansion of 1 in y 1.652 * [taylor]: Taking taylor expansion of 0 in y 1.654 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.654 * [taylor]: Taking taylor expansion of 1/2 in y 1.654 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.654 * [taylor]: Taking taylor expansion of y in y 1.657 * [taylor]: Taking taylor expansion of 0 in y 1.659 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.659 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in (x y) around 0 1.659 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in y 1.659 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (pow y 2))))) in y 1.659 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (pow y 2)))) in y 1.659 * [taylor]: Taking taylor expansion of 1/4 in y 1.659 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 1.659 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.659 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.659 * [taylor]: Taking taylor expansion of x in y 1.659 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.659 * [taylor]: Taking taylor expansion of y in y 1.659 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in x 1.659 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (pow y 2))))) in x 1.659 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (pow y 2)))) in x 1.659 * [taylor]: Taking taylor expansion of 1/4 in x 1.659 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.659 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.659 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.659 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.659 * [taylor]: Taking taylor expansion of y in x 1.660 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in x 1.660 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (pow y 2))))) in x 1.660 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (pow y 2)))) in x 1.660 * [taylor]: Taking taylor expansion of 1/4 in x 1.660 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.660 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.660 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.660 * [taylor]: Taking taylor expansion of x in x 1.660 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.660 * [taylor]: Taking taylor expansion of y in x 1.660 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/4) in y 1.660 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow y 2)))) in y 1.660 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow y 2))) in y 1.660 * [taylor]: Taking taylor expansion of 1/4 in y 1.660 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.660 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.660 * [taylor]: Taking taylor expansion of y in y 1.663 * [taylor]: Taking taylor expansion of 0 in y 1.668 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow y 3)))) in y 1.668 * [taylor]: Taking taylor expansion of 1/4 in y 1.668 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow y 3))) in y 1.668 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.668 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.668 * [taylor]: Taking taylor expansion of y in y 1.682 * [taylor]: Taking taylor expansion of 0 in y 1.688 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in (x y) around 0 1.688 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in y 1.688 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.688 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.688 * [taylor]: Taking taylor expansion of 1/4 in y 1.688 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.688 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.688 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.688 * [taylor]: Taking taylor expansion of x in y 1.688 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.689 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.689 * [taylor]: Taking taylor expansion of y in y 1.690 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x 1.690 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.690 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.690 * [taylor]: Taking taylor expansion of 1/4 in x 1.690 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.690 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.690 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.690 * [taylor]: Taking taylor expansion of x in x 1.690 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.690 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.690 * [taylor]: Taking taylor expansion of y in x 1.691 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x 1.691 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.691 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.691 * [taylor]: Taking taylor expansion of 1/4 in x 1.692 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.692 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.692 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.692 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.692 * [taylor]: Taking taylor expansion of x in x 1.692 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.692 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.692 * [taylor]: Taking taylor expansion of y in x 1.693 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 1.693 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 1.693 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 1.693 * [taylor]: Taking taylor expansion of -1/2 in y 1.693 * [taylor]: Taking taylor expansion of (log x) in y 1.693 * [taylor]: Taking taylor expansion of x in y 1.696 * [taylor]: Taking taylor expansion of 0 in y 1.703 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) in y 1.703 * [taylor]: Taking taylor expansion of 1/4 in y 1.703 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (pow y 2))) in y 1.703 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 1.703 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.703 * [taylor]: Taking taylor expansion of x in y 1.704 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.704 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.704 * [taylor]: Taking taylor expansion of y in y 1.715 * [taylor]: Taking taylor expansion of 0 in y 1.716 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in (x y) around 0 1.716 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in y 1.716 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.716 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.716 * [taylor]: Taking taylor expansion of 1/4 in y 1.716 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.716 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.716 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.716 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.716 * [taylor]: Taking taylor expansion of x in y 1.716 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.716 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.716 * [taylor]: Taking taylor expansion of y in y 1.717 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x 1.717 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.717 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.717 * [taylor]: Taking taylor expansion of 1/4 in x 1.717 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.717 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.717 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.717 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.717 * [taylor]: Taking taylor expansion of x in x 1.718 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.718 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.718 * [taylor]: Taking taylor expansion of y in x 1.719 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x 1.719 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.719 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.719 * [taylor]: Taking taylor expansion of 1/4 in x 1.719 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.719 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.719 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.719 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.719 * [taylor]: Taking taylor expansion of x in x 1.720 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.720 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.720 * [taylor]: Taking taylor expansion of y in x 1.721 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 1.721 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 1.721 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 1.721 * [taylor]: Taking taylor expansion of -1/2 in y 1.721 * [taylor]: Taking taylor expansion of (log x) in y 1.721 * [taylor]: Taking taylor expansion of x in y 1.723 * [taylor]: Taking taylor expansion of 0 in y 1.728 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) in y 1.728 * [taylor]: Taking taylor expansion of 1/4 in y 1.728 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (pow y 2))) in y 1.728 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 1.728 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.728 * [taylor]: Taking taylor expansion of x in y 1.728 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.728 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.728 * [taylor]: Taking taylor expansion of y in y 1.740 * [taylor]: Taking taylor expansion of 0 in y 1.741 * * * [progress]: simplifying candidates 1.743 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ 1 1) (+ (log (sqrt (sqrt (+ (* x x) (* y y))))) (log (sqrt (sqrt (+ (* x x) (* y y)))))) (log (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))) (exp (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (* (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (cbrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))) (cbrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))) (cbrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (* (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (* (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (sqrt (- (* x x) (* y y))))) (* (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (* (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (* (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (* (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (- (* x x) (* y y))))) (* (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))))) (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (sqrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))) (* (sqrt (sqrt (cbrt (+ (* x x) (* y y))))) (sqrt (sqrt (cbrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* 1 1) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1)) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) 1) (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (cbrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (* (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (log (sqrt (sqrt (+ (* x x) (* y y))))) (exp (sqrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (* (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (sqrt (sqrt (cbrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt 1)) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt 1) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (sqrt (- (* x x) (* y y)))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) y x (* -1 x) y x (* -1 x) y x (* -1 x) (- (pow y 1/2) (+ (* +nan.0 (pow x 2)) (- (* +nan.0 (* (pow x 2) y))))) (pow (/ 1 x) -1/2) (pow (/ -1 x) -1/2) 1.748 * * [simplify]: iteration 0 : 127 enodes (cost 2962 ) 1.785 * * [simplify]: iteration 1 : 249 enodes (cost 1876 ) 1.825 * * [simplify]: iteration 2 : 671 enodes (cost 1671 ) 2.164 * * [simplify]: iteration 3 : 2184 enodes (cost 1616 ) 2.946 * * [simplify]: iteration done : 5001 enodes (cost 1616 ) 2.947 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 1 2 1/2 1/2 1 1 1/2 1/2 (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) (pow (sqrt (+ (* x x) (* y y))) 4) (+ (* x x) (* y y)) (pow (sqrt (+ (* x x) (* y y))) 4) 2 (log (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (+ (* x x) (* y y)) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (* (sqrt (sqrt (+ (pow y 6) (pow x 6)))) (sqrt (sqrt (- (pow x 4) (pow y 4))))) (* (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))))) (* (sqrt (sqrt (+ (pow y 6) (pow x 6)))) (sqrt (sqrt (- (pow x 4) (pow y 4))))) (* (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) (pow (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) 4) (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 2 1/2 1 1/2 (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (pow (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) 4)) (* (sqrt (sqrt (+ (* y y) (pow x 2)))) (fabs (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (+ (* y y) (pow x 2)))) (sqrt (fabs (cbrt (+ (* x x) (* y y)))))) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (sqrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (sqrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (sqrt (sqrt (+ (* x x) (* y y)))) (pow (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) 4) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (cbrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (sqrt (+ (* x x) (* y y))) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (sqrt (+ (* x x) (* y y))) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (sqrt (+ (* x x) (* y y))) (* (sqrt (sqrt (+ (* y y) (pow x 2)))) (sqrt (sqrt (+ (pow y 6) (pow x 6))))) (* (sqrt (sqrt (- (pow x 4) (pow y 4)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* y y) (pow x 2)))) (sqrt (sqrt (+ (pow y 6) (pow x 6))))) (* (sqrt (sqrt (- (pow x 4) (pow y 4)))) (sqrt (sqrt (+ (* x x) (* y y))))) (log (sqrt (sqrt (+ (* x x) (* y y))))) (exp (sqrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (pow (sqrt (sqrt (+ (* y y) (pow x 2)))) 3) (fabs (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (fabs (cbrt (+ (* x x) (* y y))))) (sqrt (sqrt (cbrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 1 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 1 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (pow y 6) (pow x 6)))) (sqrt (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))) (sqrt (sqrt (- (pow x 4) (pow y 4)))) (sqrt (sqrt (- (* x x) (* y y)))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) y x (- x) y x (- x) y x (- x) (- (sqrt y) (* +nan.0 (* x (- x (* x y))))) (pow (/ 1 x) -1/2) (pow (/ -1 x) -1/2) 2.948 * * * [progress]: adding candidates to table 3.180 * * [progress]: iteration 3 / 4 3.180 * * * [progress]: picking best candidate 3.185 * * * * [pick]: Picked # 3.185 * * * [progress]: localizing error 3.197 * * * [progress]: generating rewritten candidates 3.197 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 3.201 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 3.204 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 3.212 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.271 * * * [progress]: generating series expansions 3.271 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 3.272 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 3.272 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 3.272 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.272 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.272 * [taylor]: Taking taylor expansion of x in y 3.272 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.272 * [taylor]: Taking taylor expansion of y in y 3.273 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.273 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.273 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.273 * [taylor]: Taking taylor expansion of x in x 3.273 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.273 * [taylor]: Taking taylor expansion of y in x 3.273 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.273 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.273 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.273 * [taylor]: Taking taylor expansion of x in x 3.273 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.273 * [taylor]: Taking taylor expansion of y in x 3.274 * [taylor]: Taking taylor expansion of y in y 3.274 * [taylor]: Taking taylor expansion of 0 in y 3.275 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.275 * [taylor]: Taking taylor expansion of 1/2 in y 3.275 * [taylor]: Taking taylor expansion of y in y 3.277 * [taylor]: Taking taylor expansion of 0 in y 3.278 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.278 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.278 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.278 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.278 * [taylor]: Taking taylor expansion of x in y 3.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.278 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.278 * [taylor]: Taking taylor expansion of y in y 3.280 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.281 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.281 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.281 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.281 * [taylor]: Taking taylor expansion of x in x 3.281 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.281 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.281 * [taylor]: Taking taylor expansion of y in x 3.283 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.283 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.283 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.283 * [taylor]: Taking taylor expansion of x in x 3.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.284 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.284 * [taylor]: Taking taylor expansion of y in x 3.286 * [taylor]: Taking taylor expansion of 1 in y 3.286 * [taylor]: Taking taylor expansion of 0 in y 3.288 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.288 * [taylor]: Taking taylor expansion of 1/2 in y 3.288 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.288 * [taylor]: Taking taylor expansion of y in y 3.291 * [taylor]: Taking taylor expansion of 0 in y 3.292 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.292 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.292 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.292 * [taylor]: Taking taylor expansion of x in y 3.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.292 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.292 * [taylor]: Taking taylor expansion of y in y 3.295 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.295 * [taylor]: Taking taylor expansion of x in x 3.295 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.296 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.296 * [taylor]: Taking taylor expansion of y in x 3.298 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.298 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.298 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.298 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.298 * [taylor]: Taking taylor expansion of x in x 3.298 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.298 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.298 * [taylor]: Taking taylor expansion of y in x 3.300 * [taylor]: Taking taylor expansion of 1 in y 3.300 * [taylor]: Taking taylor expansion of 0 in y 3.302 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.302 * [taylor]: Taking taylor expansion of 1/2 in y 3.302 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.302 * [taylor]: Taking taylor expansion of y in y 3.305 * [taylor]: Taking taylor expansion of 0 in y 3.306 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 3.307 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 3.307 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 3.307 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.307 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.307 * [taylor]: Taking taylor expansion of x in y 3.307 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.307 * [taylor]: Taking taylor expansion of y in y 3.307 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.307 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.307 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.307 * [taylor]: Taking taylor expansion of x in x 3.307 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.307 * [taylor]: Taking taylor expansion of y in x 3.308 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.308 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.308 * [taylor]: Taking taylor expansion of x in x 3.308 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.308 * [taylor]: Taking taylor expansion of y in x 3.309 * [taylor]: Taking taylor expansion of y in y 3.309 * [taylor]: Taking taylor expansion of 0 in y 3.310 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.310 * [taylor]: Taking taylor expansion of 1/2 in y 3.310 * [taylor]: Taking taylor expansion of y in y 3.312 * [taylor]: Taking taylor expansion of 0 in y 3.313 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.313 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.313 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.313 * [taylor]: Taking taylor expansion of x in y 3.313 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.313 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.313 * [taylor]: Taking taylor expansion of y in y 3.315 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.315 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.315 * [taylor]: Taking taylor expansion of x in x 3.316 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.316 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.316 * [taylor]: Taking taylor expansion of y in x 3.322 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.322 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.322 * [taylor]: Taking taylor expansion of x in x 3.322 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.322 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.322 * [taylor]: Taking taylor expansion of y in x 3.324 * [taylor]: Taking taylor expansion of 1 in y 3.325 * [taylor]: Taking taylor expansion of 0 in y 3.326 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.327 * [taylor]: Taking taylor expansion of 1/2 in y 3.327 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.327 * [taylor]: Taking taylor expansion of y in y 3.330 * [taylor]: Taking taylor expansion of 0 in y 3.331 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.331 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.331 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.331 * [taylor]: Taking taylor expansion of x in y 3.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.331 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.331 * [taylor]: Taking taylor expansion of y in y 3.334 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.334 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.334 * [taylor]: Taking taylor expansion of x in x 3.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.335 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.335 * [taylor]: Taking taylor expansion of y in x 3.337 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.337 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.337 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.337 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.337 * [taylor]: Taking taylor expansion of x in x 3.337 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.337 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.337 * [taylor]: Taking taylor expansion of y in x 3.339 * [taylor]: Taking taylor expansion of 1 in y 3.339 * [taylor]: Taking taylor expansion of 0 in y 3.341 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.341 * [taylor]: Taking taylor expansion of 1/2 in y 3.341 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.341 * [taylor]: Taking taylor expansion of y in y 3.345 * [taylor]: Taking taylor expansion of 0 in y 3.346 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 3.346 * [approximate]: Taking taylor expansion of (pow (pow (+ (pow x 2) (pow y 2)) 1/8) 3) in (x y) around 0 3.346 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow x 2) (pow y 2)) 1/8) 3) in y 3.346 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/8) in y 3.346 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow x 2) (pow y 2))))) in y 3.346 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow x 2) (pow y 2)))) in y 3.346 * [taylor]: Taking taylor expansion of 1/8 in y 3.346 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 3.346 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.346 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.346 * [taylor]: Taking taylor expansion of x in y 3.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.346 * [taylor]: Taking taylor expansion of y in y 3.346 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow x 2) (pow y 2)) 1/8) 3) in x 3.346 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/8) in x 3.347 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow x 2) (pow y 2))))) in x 3.347 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow x 2) (pow y 2)))) in x 3.347 * [taylor]: Taking taylor expansion of 1/8 in x 3.347 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 3.347 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.347 * [taylor]: Taking taylor expansion of x in x 3.347 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.347 * [taylor]: Taking taylor expansion of y in x 3.347 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow x 2) (pow y 2)) 1/8) 3) in x 3.347 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/8) in x 3.347 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow x 2) (pow y 2))))) in x 3.347 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow x 2) (pow y 2)))) in x 3.347 * [taylor]: Taking taylor expansion of 1/8 in x 3.347 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 3.347 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.347 * [taylor]: Taking taylor expansion of x in x 3.347 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.347 * [taylor]: Taking taylor expansion of y in x 3.348 * [taylor]: Taking taylor expansion of (pow (pow y 3) 1/4) in y 3.348 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow y 3)))) in y 3.348 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow y 3))) in y 3.348 * [taylor]: Taking taylor expansion of 1/4 in y 3.348 * [taylor]: Taking taylor expansion of (log (pow y 3)) in y 3.348 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.348 * [taylor]: Taking taylor expansion of y in y 3.351 * [taylor]: Taking taylor expansion of 0 in y 3.358 * [taylor]: Taking taylor expansion of (* 3/8 (pow (/ 1 (pow y 5)) 1/4)) in y 3.358 * [taylor]: Taking taylor expansion of 3/8 in y 3.358 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 5)) 1/4) in y 3.358 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow y 5))))) in y 3.358 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow y 5)))) in y 3.358 * [taylor]: Taking taylor expansion of 1/4 in y 3.358 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 5))) in y 3.358 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 3.358 * [taylor]: Taking taylor expansion of (pow y 5) in y 3.358 * [taylor]: Taking taylor expansion of y in y 3.369 * [taylor]: Taking taylor expansion of 0 in y 3.378 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/8) 3) in (x y) around 0 3.378 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/8) 3) in y 3.378 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/8) in y 3.378 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 3.378 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 3.378 * [taylor]: Taking taylor expansion of 1/8 in y 3.379 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.379 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.379 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.379 * [taylor]: Taking taylor expansion of x in y 3.379 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.379 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.379 * [taylor]: Taking taylor expansion of y in y 3.380 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/8) 3) in x 3.380 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/8) in x 3.380 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 3.380 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 3.380 * [taylor]: Taking taylor expansion of 1/8 in x 3.380 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.380 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.380 * [taylor]: Taking taylor expansion of x in x 3.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.381 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.381 * [taylor]: Taking taylor expansion of y in x 3.382 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/8) 3) in x 3.382 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/8) in x 3.382 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 3.382 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 3.382 * [taylor]: Taking taylor expansion of 1/8 in x 3.382 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.382 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.382 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.382 * [taylor]: Taking taylor expansion of x in x 3.382 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.382 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.382 * [taylor]: Taking taylor expansion of y in x 3.384 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 3)) 1/4) in y 3.384 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow x 3))))) in y 3.384 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow x 3)))) in y 3.384 * [taylor]: Taking taylor expansion of 1/4 in y 3.384 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 3))) in y 3.384 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in y 3.384 * [taylor]: Taking taylor expansion of (pow x 3) in y 3.384 * [taylor]: Taking taylor expansion of x in y 3.387 * [taylor]: Taking taylor expansion of 0 in y 3.394 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow x 3)) 1/4) (/ 1 (pow y 2)))) in y 3.394 * [taylor]: Taking taylor expansion of 3/8 in y 3.394 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 3)) 1/4) (/ 1 (pow y 2))) in y 3.394 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 3)) 1/4) in y 3.394 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow x 3))))) in y 3.394 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow x 3)))) in y 3.394 * [taylor]: Taking taylor expansion of 1/4 in y 3.394 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 3))) in y 3.394 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in y 3.394 * [taylor]: Taking taylor expansion of (pow x 3) in y 3.394 * [taylor]: Taking taylor expansion of x in y 3.395 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.395 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.395 * [taylor]: Taking taylor expansion of y in y 3.416 * [taylor]: Taking taylor expansion of 0 in y 3.416 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/8) 3) in (x y) around 0 3.416 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/8) 3) in y 3.416 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/8) in y 3.416 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 3.416 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 3.416 * [taylor]: Taking taylor expansion of 1/8 in y 3.417 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.417 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.417 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.417 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.417 * [taylor]: Taking taylor expansion of x in y 3.417 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.417 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.417 * [taylor]: Taking taylor expansion of y in y 3.418 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/8) 3) in x 3.418 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/8) in x 3.418 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 3.418 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 3.418 * [taylor]: Taking taylor expansion of 1/8 in x 3.418 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.418 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.418 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.418 * [taylor]: Taking taylor expansion of x in x 3.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.419 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.419 * [taylor]: Taking taylor expansion of y in x 3.420 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/8) 3) in x 3.420 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/8) in x 3.420 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 3.420 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 3.420 * [taylor]: Taking taylor expansion of 1/8 in x 3.420 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.420 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.420 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.420 * [taylor]: Taking taylor expansion of x in x 3.420 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.420 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.420 * [taylor]: Taking taylor expansion of y in x 3.422 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 3)) 1/4) in y 3.422 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow x 3))))) in y 3.422 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow x 3)))) in y 3.422 * [taylor]: Taking taylor expansion of 1/4 in y 3.422 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 3))) in y 3.422 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in y 3.422 * [taylor]: Taking taylor expansion of (pow x 3) in y 3.422 * [taylor]: Taking taylor expansion of x in y 3.425 * [taylor]: Taking taylor expansion of 0 in y 3.432 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow x 3)) 1/4) (/ 1 (pow y 2)))) in y 3.432 * [taylor]: Taking taylor expansion of 3/8 in y 3.432 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 3)) 1/4) (/ 1 (pow y 2))) in y 3.432 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 3)) 1/4) in y 3.432 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow x 3))))) in y 3.432 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow x 3)))) in y 3.432 * [taylor]: Taking taylor expansion of 1/4 in y 3.432 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 3))) in y 3.432 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in y 3.432 * [taylor]: Taking taylor expansion of (pow x 3) in y 3.432 * [taylor]: Taking taylor expansion of x in y 3.432 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.432 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.433 * [taylor]: Taking taylor expansion of y in y 3.451 * [taylor]: Taking taylor expansion of 0 in y 3.452 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.452 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 3.452 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 3.452 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.452 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.452 * [taylor]: Taking taylor expansion of x in y 3.452 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.452 * [taylor]: Taking taylor expansion of y in y 3.453 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.453 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.453 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.453 * [taylor]: Taking taylor expansion of x in x 3.453 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.453 * [taylor]: Taking taylor expansion of y in x 3.453 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 3.453 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.453 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.453 * [taylor]: Taking taylor expansion of x in x 3.453 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.453 * [taylor]: Taking taylor expansion of y in x 3.454 * [taylor]: Taking taylor expansion of y in y 3.454 * [taylor]: Taking taylor expansion of 0 in y 3.455 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.455 * [taylor]: Taking taylor expansion of 1/2 in y 3.455 * [taylor]: Taking taylor expansion of y in y 3.457 * [taylor]: Taking taylor expansion of 0 in y 3.458 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.458 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.458 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.458 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.458 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.458 * [taylor]: Taking taylor expansion of x in y 3.458 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.459 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.459 * [taylor]: Taking taylor expansion of y in y 3.461 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.461 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.461 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.461 * [taylor]: Taking taylor expansion of x in x 3.461 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.461 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.461 * [taylor]: Taking taylor expansion of y in x 3.463 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.463 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.463 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.463 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.464 * [taylor]: Taking taylor expansion of x in x 3.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.464 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.464 * [taylor]: Taking taylor expansion of y in x 3.466 * [taylor]: Taking taylor expansion of 1 in y 3.466 * [taylor]: Taking taylor expansion of 0 in y 3.468 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.468 * [taylor]: Taking taylor expansion of 1/2 in y 3.468 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.468 * [taylor]: Taking taylor expansion of y in y 3.471 * [taylor]: Taking taylor expansion of 0 in y 3.473 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 3.473 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 3.473 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.473 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.473 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.473 * [taylor]: Taking taylor expansion of x in y 3.473 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.473 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.473 * [taylor]: Taking taylor expansion of y in y 3.476 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.476 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.476 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.476 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.476 * [taylor]: Taking taylor expansion of x in x 3.476 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.476 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.476 * [taylor]: Taking taylor expansion of y in x 3.478 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 3.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.478 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.478 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.478 * [taylor]: Taking taylor expansion of x in x 3.479 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.479 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.479 * [taylor]: Taking taylor expansion of y in x 3.481 * [taylor]: Taking taylor expansion of 1 in y 3.481 * [taylor]: Taking taylor expansion of 0 in y 3.483 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 3.483 * [taylor]: Taking taylor expansion of 1/2 in y 3.483 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.483 * [taylor]: Taking taylor expansion of y in y 3.486 * [taylor]: Taking taylor expansion of 0 in y 3.487 * * * [progress]: simplifying candidates 3.493 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y 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y)))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 4) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 4) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y))))))) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 4) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (* (sqrt (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3)) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 4) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 5/2) (* (sqrt (sqrt (sqrt (+ (pow y 6) (pow x 6))))) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3)) (* (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (sqrt (sqrt (sqrt (- (pow x 4) (* y (pow y 3))))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (pow (sqrt (sqrt (sqrt (+ (pow y 6) (pow x 6))))) 3)) (* (pow (sqrt (sqrt (sqrt (- (pow x 4) (* y (pow y 3)))))) 3) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) y x (- x) y x (- x) (+ (pow y 3/4) (* 3/8 (* (pow x 2) (pow (/ 1 (pow y 5)) 1/4)))) (pow (pow x 3) 1/4) (pow (- (pow x 3)) 1/4) y x (- x) 4.064 * * * [progress]: adding candidates to table 4.445 * * [progress]: iteration 4 / 4 4.445 * * * [progress]: picking best candidate 4.447 * * * * [pick]: Picked # 4.447 * * * [progress]: localizing error 4.448 * * * [progress]: generating rewritten candidates 4.448 * * * [progress]: generating series expansions 4.448 * * * [progress]: simplifying candidates 4.448 * [simplify]: Simplifying using # : 4.449 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 4.449 * * [simplify]: iteration done : 0 enodes (cost 0 ) 4.449 * [simplify]: Simplified to: 4.449 * * * [progress]: adding candidates to table 4.449 * [progress]: [Phase 3 of 3] Extracting. 4.449 * * [regime]: Finding splitpoints for: (# # # # # #) 4.449 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x) 4.449 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 4.471 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 4.489 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 4.510 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 4.526 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # # # #) 4.553 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # #) 4.566 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # # # # #) 4.600 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # #) 4.627 * * * * [regimes]: Trying to branch on y from (# # # # # #) 4.665 * * * * [regimes]: Trying to branch on x from (# # # # # #) 4.694 * * * [regime]: Found split indices: #