15.289 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.022 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.024 * * [simplify]: iteration 1 : 29 enodes (cost 4 ) 0.025 * * [simplify]: iteration 2 : 50 enodes (cost 4 ) 0.027 * * [simplify]: iteration 3 : 70 enodes (cost 3 ) 0.028 * * [simplify]: iteration 4 : 82 enodes (cost 3 ) 0.030 * * [simplify]: iteration 5 : 125 enodes (cost 3 ) 0.032 * * [simplify]: iteration 6 : 229 enodes (cost 3 ) 0.035 * * [simplify]: iteration 7 : 321 enodes (cost 3 ) 0.037 * * [simplify]: iteration 8 : 336 enodes (cost 3 ) 0.040 * * [simplify]: iteration 9 : 436 enodes (cost 3 ) 0.046 * * [simplify]: iteration 10 : 790 enodes (cost 3 ) 0.072 * * [simplify]: iteration 11 : 3492 enodes (cost 3 ) 0.308 * * [simplify]: iteration 12 : 5001 enodes (cost 3 ) 0.310 * [simplify]: Simplified to: (fma 3 (* y y) (* x x)) 0.312 * * [progress]: iteration 1 / 4 0.312 * * * [progress]: picking best candidate 0.314 * * * * [pick]: Picked # 0.314 * * * [progress]: localizing error 0.320 * * * [progress]: generating rewritten candidates 0.320 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.320 * * * [progress]: generating series expansions 0.320 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.320 * [approximate]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in (y x) around 0 0.320 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in x 0.320 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.320 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.320 * [taylor]: Taking taylor expansion of 3 in x 0.320 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.320 * [taylor]: Taking taylor expansion of y in x 0.320 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.321 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.321 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.321 * [taylor]: Taking taylor expansion of 3 in y 0.321 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.321 * [taylor]: Taking taylor expansion of x in y 0.321 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.321 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.321 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.321 * [taylor]: Taking taylor expansion of 3 in y 0.321 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.321 * [taylor]: Taking taylor expansion of x in y 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of 0 in x 0.323 * [taylor]: Taking taylor expansion of 3 in x 0.324 * [taylor]: Taking taylor expansion of 0 in x 0.327 * [taylor]: Taking taylor expansion of 0 in x 0.327 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.327 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.327 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.327 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.327 * [taylor]: Taking taylor expansion of 3 in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.327 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.327 * [taylor]: Taking taylor expansion of y in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.328 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.328 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.328 * [taylor]: Taking taylor expansion of 3 in y 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.328 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.329 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.329 * [taylor]: Taking taylor expansion of x in y 0.329 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.329 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.329 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.329 * [taylor]: Taking taylor expansion of 3 in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.329 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.329 * [taylor]: Taking taylor expansion of x in y 0.330 * [taylor]: Taking taylor expansion of 3 in x 0.332 * [taylor]: Taking taylor expansion of 0 in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.333 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of 0 in x 0.339 * [taylor]: Taking taylor expansion of 0 in x 0.340 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.340 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.340 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.340 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.340 * [taylor]: Taking taylor expansion of 3 in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.340 * [taylor]: Taking taylor expansion of y in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.341 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.341 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.341 * [taylor]: Taking taylor expansion of 3 in y 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.341 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.342 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.342 * [taylor]: Taking taylor expansion of x in y 0.342 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.342 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.342 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.342 * [taylor]: Taking taylor expansion of 3 in y 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.342 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.342 * [taylor]: Taking taylor expansion of y in y 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.343 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.343 * [taylor]: Taking taylor expansion of x in y 0.343 * [taylor]: Taking taylor expansion of 3 in x 0.345 * [taylor]: Taking taylor expansion of 0 in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of 0 in x 0.352 * [taylor]: Taking taylor expansion of 0 in x 0.353 * * * [progress]: simplifying candidates 0.354 * [simplify]: Simplifying using # : (expm1 (fma 3 (* y y) (* x x))) (log1p (fma 3 (* y y) (* x x))) (* 3 (* y y)) (log (fma 3 (* y y) (* x x))) (exp (fma 3 (* y y) (* x x))) (* (cbrt (fma 3 (* y y) (* x x))) (cbrt (fma 3 (* y y) (* x x)))) (cbrt (fma 3 (* y y) (* x x))) (* (* (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x))) (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.356 * * [simplify]: iteration 0 : 33 enodes (cost 59 ) 0.358 * * [simplify]: iteration 1 : 84 enodes (cost 52 ) 0.360 * * [simplify]: iteration 2 : 267 enodes (cost 52 ) 0.366 * * [simplify]: iteration 3 : 1089 enodes (cost 52 ) 0.407 * * [simplify]: iteration 4 : 5002 enodes (cost 52 ) 0.407 * [simplify]: Simplified to: (expm1 (fma 3 (* y y) (* x x))) (log1p (fma 3 (* y y) (* x x))) (* 3 (* y y)) (log (fma 3 (* y y) (* x x))) (exp (fma 3 (* y y) (* x x))) (* (cbrt (fma 3 (* y y) (* x x))) (cbrt (fma 3 (* y y) (* x x)))) (cbrt (fma 3 (* y y) (* x x))) (pow (fma 3 (* y y) (* x x)) 3) (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x)) 0.407 * * * [progress]: adding candidates to table 0.437 * * [progress]: iteration 2 / 4 0.437 * * * [progress]: picking best candidate 0.444 * * * * [pick]: Picked # 0.444 * * * [progress]: localizing error 0.451 * * * [progress]: generating rewritten candidates 0.451 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.507 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.520 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.524 * * * [progress]: generating series expansions 0.524 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.524 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.524 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.524 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.524 * [taylor]: Taking taylor expansion of x in y 0.524 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.524 * [taylor]: Taking taylor expansion of 3 in y 0.524 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.524 * [taylor]: Taking taylor expansion of y in y 0.524 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.524 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.524 * [taylor]: Taking taylor expansion of 3 in x 0.524 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.524 * [taylor]: Taking taylor expansion of y in x 0.524 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.524 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.524 * [taylor]: Taking taylor expansion of 3 in x 0.524 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.524 * [taylor]: Taking taylor expansion of y in x 0.525 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.525 * [taylor]: Taking taylor expansion of 3 in y 0.525 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.525 * [taylor]: Taking taylor expansion of y in y 0.526 * [taylor]: Taking taylor expansion of 0 in y 0.527 * [taylor]: Taking taylor expansion of 1 in y 0.530 * [taylor]: Taking taylor expansion of 0 in y 0.533 * [taylor]: Taking taylor expansion of 0 in y 0.534 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.534 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.534 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.534 * [taylor]: Taking taylor expansion of x in y 0.534 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.534 * [taylor]: Taking taylor expansion of 3 in y 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.534 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.534 * [taylor]: Taking taylor expansion of y in y 0.535 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.535 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.535 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.535 * [taylor]: Taking taylor expansion of 3 in x 0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.535 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.535 * [taylor]: Taking taylor expansion of y in x 0.535 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.535 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.536 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.536 * [taylor]: Taking taylor expansion of 3 in x 0.536 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.536 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.536 * [taylor]: Taking taylor expansion of y in x 0.536 * [taylor]: Taking taylor expansion of 1 in y 0.537 * [taylor]: Taking taylor expansion of 0 in y 0.539 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.539 * [taylor]: Taking taylor expansion of 3 in y 0.539 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.539 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.539 * [taylor]: Taking taylor expansion of y in y 0.541 * [taylor]: Taking taylor expansion of 0 in y 0.545 * [taylor]: Taking taylor expansion of 0 in y 0.547 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.547 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.547 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.547 * [taylor]: Taking taylor expansion of x in y 0.547 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.547 * [taylor]: Taking taylor expansion of 3 in y 0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.547 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.547 * [taylor]: Taking taylor expansion of y in y 0.548 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.548 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.549 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.549 * [taylor]: Taking taylor expansion of 3 in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.549 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.549 * [taylor]: Taking taylor expansion of y in x 0.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.549 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.549 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.549 * [taylor]: Taking taylor expansion of 3 in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.549 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.549 * [taylor]: Taking taylor expansion of y in x 0.550 * [taylor]: Taking taylor expansion of 1 in y 0.551 * [taylor]: Taking taylor expansion of 0 in y 0.552 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.552 * [taylor]: Taking taylor expansion of 3 in y 0.552 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.552 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.552 * [taylor]: Taking taylor expansion of y in y 0.555 * [taylor]: Taking taylor expansion of 0 in y 0.558 * [taylor]: Taking taylor expansion of 0 in y 0.560 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.560 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.560 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.560 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.560 * [taylor]: Taking taylor expansion of x in y 0.560 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.560 * [taylor]: Taking taylor expansion of 2 in y 0.560 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.560 * [taylor]: Taking taylor expansion of y in y 0.561 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.561 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.561 * [taylor]: Taking taylor expansion of 2 in x 0.561 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.561 * [taylor]: Taking taylor expansion of y in x 0.561 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.561 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.561 * [taylor]: Taking taylor expansion of 2 in x 0.561 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.561 * [taylor]: Taking taylor expansion of y in x 0.561 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.561 * [taylor]: Taking taylor expansion of 2 in y 0.561 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.561 * [taylor]: Taking taylor expansion of y in y 0.562 * [taylor]: Taking taylor expansion of 0 in y 0.563 * [taylor]: Taking taylor expansion of 1 in y 0.565 * [taylor]: Taking taylor expansion of 0 in y 0.569 * [taylor]: Taking taylor expansion of 0 in y 0.569 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.569 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.570 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.570 * [taylor]: Taking taylor expansion of x in y 0.570 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.570 * [taylor]: Taking taylor expansion of 2 in y 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.570 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.570 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.571 * [taylor]: Taking taylor expansion of 2 in x 0.571 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.571 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.571 * [taylor]: Taking taylor expansion of y in x 0.571 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.571 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.571 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.577 * [taylor]: Taking taylor expansion of 2 in x 0.577 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.577 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.577 * [taylor]: Taking taylor expansion of y in x 0.577 * [taylor]: Taking taylor expansion of 1 in y 0.579 * [taylor]: Taking taylor expansion of 0 in y 0.580 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.580 * [taylor]: Taking taylor expansion of 2 in y 0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.580 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.580 * [taylor]: Taking taylor expansion of y in y 0.583 * [taylor]: Taking taylor expansion of 0 in y 0.587 * [taylor]: Taking taylor expansion of 0 in y 0.589 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.589 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.589 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.589 * [taylor]: Taking taylor expansion of x in y 0.589 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.589 * [taylor]: Taking taylor expansion of 2 in y 0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.589 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.589 * [taylor]: Taking taylor expansion of y in y 0.590 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.590 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.590 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.590 * [taylor]: Taking taylor expansion of 2 in x 0.590 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.590 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.590 * [taylor]: Taking taylor expansion of y in x 0.590 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.590 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.590 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.591 * [taylor]: Taking taylor expansion of 2 in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.591 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.591 * [taylor]: Taking taylor expansion of y in x 0.591 * [taylor]: Taking taylor expansion of 1 in y 0.592 * [taylor]: Taking taylor expansion of 0 in y 0.594 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.594 * [taylor]: Taking taylor expansion of 2 in y 0.594 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.594 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.594 * [taylor]: Taking taylor expansion of y in y 0.596 * [taylor]: Taking taylor expansion of 0 in y 0.600 * [taylor]: Taking taylor expansion of 0 in y 0.602 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.602 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.602 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.602 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.602 * [taylor]: Taking taylor expansion of x in y 0.602 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.602 * [taylor]: Taking taylor expansion of y in y 0.602 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.602 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.602 * [taylor]: Taking taylor expansion of y in x 0.602 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.602 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.602 * [taylor]: Taking taylor expansion of y in x 0.602 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.602 * [taylor]: Taking taylor expansion of y in y 0.603 * [taylor]: Taking taylor expansion of 0 in y 0.604 * [taylor]: Taking taylor expansion of 1 in y 0.605 * [taylor]: Taking taylor expansion of 0 in y 0.607 * [taylor]: Taking taylor expansion of 0 in y 0.607 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.607 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.607 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.607 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.607 * [taylor]: Taking taylor expansion of x in y 0.607 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.607 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.607 * [taylor]: Taking taylor expansion of y in y 0.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.608 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.608 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.608 * [taylor]: Taking taylor expansion of y in x 0.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.609 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.609 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.609 * [taylor]: Taking taylor expansion of y in x 0.610 * [taylor]: Taking taylor expansion of 1 in y 0.611 * [taylor]: Taking taylor expansion of 0 in y 0.612 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.612 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.612 * [taylor]: Taking taylor expansion of y in y 0.614 * [taylor]: Taking taylor expansion of 0 in y 0.616 * [taylor]: Taking taylor expansion of 0 in y 0.618 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.618 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.618 * [taylor]: Taking taylor expansion of x in y 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.618 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.618 * [taylor]: Taking taylor expansion of y in y 0.619 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.619 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.619 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.619 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.619 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.619 * [taylor]: Taking taylor expansion of y in x 0.620 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.620 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.620 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.620 * [taylor]: Taking taylor expansion of y in x 0.621 * [taylor]: Taking taylor expansion of 1 in y 0.622 * [taylor]: Taking taylor expansion of 0 in y 0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.623 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.623 * [taylor]: Taking taylor expansion of y in y 0.625 * [taylor]: Taking taylor expansion of 0 in y 0.627 * [taylor]: Taking taylor expansion of 0 in y 0.629 * * * [progress]: simplifying candidates 0.629 * [simplify]: Simplifying using # : (expm1 (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (log1p (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (exp (* y y))) (* (* (exp (+ (* x x) (* y y))) (exp (* y y))) (exp (* y y))) (* (exp (+ (+ (* x x) (* y y)) (* y y))) (exp (* y y))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (- (* (* y y) (* y y)) (* (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (- (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (* (* y y) (* y y))) (- (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* y y)) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y y)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.634 * * [simplify]: iteration 0 : 237 enodes (cost 373 ) 0.640 * * [simplify]: iteration 1 : 1141 enodes (cost 313 ) 0.661 * * [simplify]: iteration 2 : 4748 enodes (cost 287 ) 0.761 * * [simplify]: iteration 3 : 5001 enodes (cost 286 ) 0.762 * [simplify]: Simplified to: (expm1 (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (log1p (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (fma x x (fma y y (* y y))) (pow y 2))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (pow (fma y y (fma x x (fma y y (* y y)))) 3) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (fma y (pow y 5) (pow (fma x x (fma y y (* y y))) 3)) (+ (pow y 4) (* (fma x x (fma y y (* y y))) (fma x x (* y y)))) (* (fma x x (* y y)) (fma y y (fma x x (fma y y (* y y))))) (fma x x (* y y)) (fma y y (* y y)) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (fma x x (* y y)) (pow y 2))) (exp (+ (fma x x (* y y)) (pow y 2))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (fma x x (* y y)) (pow y 2))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (pow (fma x x (fma y y (* y y))) 3) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (fma (* (pow y 4) y) y (pow (fma x x (* y y)) 3)) (+ (* (pow x 2) (fma x x (* y y))) (pow y 4)) (* (pow x 2) (fma x x (fma y y (* y y)))) (pow x 2) (fma y y (* y y)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (fma x x (* y y)) 3) (hypot x y) (hypot x y) (fma (* (pow y 4) y) y (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* x x) (* y y)) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y))) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.763 * * * [progress]: adding candidates to table 0.884 * * [progress]: iteration 3 / 4 0.884 * * * [progress]: picking best candidate 0.893 * * * * [pick]: Picked # 0.893 * * * [progress]: localizing error 0.902 * * * [progress]: generating rewritten candidates 0.902 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.917 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.931 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.931 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.945 * * * [progress]: generating series expansions 0.945 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.945 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.945 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.945 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.945 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.945 * [taylor]: Taking taylor expansion of x in y 0.945 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.945 * [taylor]: Taking taylor expansion of 2 in y 0.945 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.945 * [taylor]: Taking taylor expansion of y in y 0.946 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.946 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.946 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.946 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.946 * [taylor]: Taking taylor expansion of 2 in x 0.946 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.946 * [taylor]: Taking taylor expansion of y in x 0.947 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.947 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.947 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.947 * [taylor]: Taking taylor expansion of 2 in x 0.947 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.947 * [taylor]: Taking taylor expansion of y in x 0.948 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.948 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.948 * [taylor]: Taking taylor expansion of 2 in y 0.949 * [taylor]: Taking taylor expansion of y in y 0.949 * [taylor]: Taking taylor expansion of 0 in y 0.956 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.956 * [taylor]: Taking taylor expansion of 1/2 in y 0.956 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.956 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.956 * [taylor]: Taking taylor expansion of 2 in y 0.957 * [taylor]: Taking taylor expansion of y in y 0.964 * [taylor]: Taking taylor expansion of 0 in y 0.967 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.967 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.967 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.967 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.967 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.967 * [taylor]: Taking taylor expansion of x in y 0.967 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.967 * [taylor]: Taking taylor expansion of 2 in y 0.967 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.967 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.967 * [taylor]: Taking taylor expansion of y in y 0.970 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.970 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.970 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.970 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.970 * [taylor]: Taking taylor expansion of x in x 0.971 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.971 * [taylor]: Taking taylor expansion of 2 in x 0.971 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.971 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.971 * [taylor]: Taking taylor expansion of y in x 0.973 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.973 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.973 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.973 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.973 * [taylor]: Taking taylor expansion of x in x 0.973 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.973 * [taylor]: Taking taylor expansion of 2 in x 0.973 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.973 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.973 * [taylor]: Taking taylor expansion of y in x 0.975 * [taylor]: Taking taylor expansion of 1 in y 0.975 * [taylor]: Taking taylor expansion of 0 in y 0.977 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.977 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.977 * [taylor]: Taking taylor expansion of y in y 0.981 * [taylor]: Taking taylor expansion of 0 in y 0.982 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.982 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.982 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.982 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.982 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.982 * [taylor]: Taking taylor expansion of x in y 0.982 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.982 * [taylor]: Taking taylor expansion of 2 in y 0.982 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.982 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.982 * [taylor]: Taking taylor expansion of y in y 0.985 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.985 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.985 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.986 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.986 * [taylor]: Taking taylor expansion of 2 in x 0.986 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.986 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.986 * [taylor]: Taking taylor expansion of y in x 0.988 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.988 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.988 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.988 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.988 * [taylor]: Taking taylor expansion of x in x 0.988 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.988 * [taylor]: Taking taylor expansion of 2 in x 0.988 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.988 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.988 * [taylor]: Taking taylor expansion of y in x 0.990 * [taylor]: Taking taylor expansion of 1 in y 0.991 * [taylor]: Taking taylor expansion of 0 in y 0.992 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.993 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.993 * [taylor]: Taking taylor expansion of y in y 0.996 * [taylor]: Taking taylor expansion of 0 in y 0.997 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.997 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.997 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.997 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.997 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.997 * [taylor]: Taking taylor expansion of x in y 0.997 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.997 * [taylor]: Taking taylor expansion of 2 in y 0.997 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.997 * [taylor]: Taking taylor expansion of y in y 0.998 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.998 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.998 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.998 * [taylor]: Taking taylor expansion of x in x 0.998 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.998 * [taylor]: Taking taylor expansion of 2 in x 0.998 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.998 * [taylor]: Taking taylor expansion of y in x 0.999 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.999 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.999 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.999 * [taylor]: Taking taylor expansion of x in x 0.999 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.999 * [taylor]: Taking taylor expansion of 2 in x 0.999 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.999 * [taylor]: Taking taylor expansion of y in x 1.000 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.000 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.000 * [taylor]: Taking taylor expansion of 2 in y 1.001 * [taylor]: Taking taylor expansion of y in y 1.001 * [taylor]: Taking taylor expansion of 0 in y 1.004 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 1.004 * [taylor]: Taking taylor expansion of 1/2 in y 1.004 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.005 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.005 * [taylor]: Taking taylor expansion of 2 in y 1.005 * [taylor]: Taking taylor expansion of y in y 1.013 * [taylor]: Taking taylor expansion of 0 in y 1.015 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.015 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.015 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.015 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.015 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.015 * [taylor]: Taking taylor expansion of x in y 1.015 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.015 * [taylor]: Taking taylor expansion of 2 in y 1.015 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.015 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.015 * [taylor]: Taking taylor expansion of y in y 1.018 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.018 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.018 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.018 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.018 * [taylor]: Taking taylor expansion of x in x 1.019 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.019 * [taylor]: Taking taylor expansion of 2 in x 1.019 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.019 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.019 * [taylor]: Taking taylor expansion of y in x 1.021 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.021 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.021 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.021 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.021 * [taylor]: Taking taylor expansion of x in x 1.021 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.021 * [taylor]: Taking taylor expansion of 2 in x 1.021 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.022 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.022 * [taylor]: Taking taylor expansion of y in x 1.023 * [taylor]: Taking taylor expansion of 1 in y 1.024 * [taylor]: Taking taylor expansion of 0 in y 1.025 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.026 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.026 * [taylor]: Taking taylor expansion of y in y 1.029 * [taylor]: Taking taylor expansion of 0 in y 1.030 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.030 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.030 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.030 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.030 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.030 * [taylor]: Taking taylor expansion of x in y 1.030 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.030 * [taylor]: Taking taylor expansion of 2 in y 1.030 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.030 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.030 * [taylor]: Taking taylor expansion of y in y 1.033 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.033 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.033 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.033 * [taylor]: Taking taylor expansion of x in x 1.034 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.034 * [taylor]: Taking taylor expansion of 2 in x 1.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.034 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.034 * [taylor]: Taking taylor expansion of y in x 1.041 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.041 * [taylor]: Taking taylor expansion of x in x 1.042 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.042 * [taylor]: Taking taylor expansion of 2 in x 1.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.042 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.042 * [taylor]: Taking taylor expansion of y in x 1.044 * [taylor]: Taking taylor expansion of 1 in y 1.044 * [taylor]: Taking taylor expansion of 0 in y 1.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.046 * [taylor]: Taking taylor expansion of y in y 1.049 * [taylor]: Taking taylor expansion of 0 in y 1.050 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.050 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in (x y) around 0 1.051 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in y 1.051 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 1.051 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in y 1.051 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.051 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.051 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.051 * [taylor]: Taking taylor expansion of x in y 1.051 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.051 * [taylor]: Taking taylor expansion of 2 in y 1.051 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.051 * [taylor]: Taking taylor expansion of y in y 1.051 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.051 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.051 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.051 * [taylor]: Taking taylor expansion of x in y 1.051 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.051 * [taylor]: Taking taylor expansion of 2 in y 1.051 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.051 * [taylor]: Taking taylor expansion of y in y 1.052 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.052 * [taylor]: Taking taylor expansion of y in y 1.052 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in x 1.052 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 1.052 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 1.052 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.052 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.052 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.052 * [taylor]: Taking taylor expansion of x in x 1.052 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.052 * [taylor]: Taking taylor expansion of 2 in x 1.052 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.052 * [taylor]: Taking taylor expansion of y in x 1.053 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.053 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.053 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.053 * [taylor]: Taking taylor expansion of x in x 1.053 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.053 * [taylor]: Taking taylor expansion of 2 in x 1.053 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.053 * [taylor]: Taking taylor expansion of y in x 1.054 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.054 * [taylor]: Taking taylor expansion of y in x 1.054 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in x 1.054 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 1.054 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 1.054 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.054 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.055 * [taylor]: Taking taylor expansion of x in x 1.055 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.055 * [taylor]: Taking taylor expansion of 2 in x 1.055 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.055 * [taylor]: Taking taylor expansion of y in x 1.056 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.056 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.056 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.056 * [taylor]: Taking taylor expansion of x in x 1.056 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.056 * [taylor]: Taking taylor expansion of 2 in x 1.056 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.056 * [taylor]: Taking taylor expansion of y in x 1.057 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.057 * [taylor]: Taking taylor expansion of y in x 1.058 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2))) in y 1.058 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.058 * [taylor]: Taking taylor expansion of y in y 1.058 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2) 2) (pow y 2)) in y 1.058 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.058 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.058 * [taylor]: Taking taylor expansion of 2 in y 1.059 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.059 * [taylor]: Taking taylor expansion of y in y 1.059 * [taylor]: Taking taylor expansion of 0 in y 1.065 * [taylor]: Taking taylor expansion of 1 in y 1.076 * [taylor]: Taking taylor expansion of 0 in y 1.089 * [taylor]: Taking taylor expansion of 0 in y 1.090 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in (x y) around 0 1.090 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in y 1.090 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 1.090 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 1.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.091 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.091 * [taylor]: Taking taylor expansion of x in y 1.091 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.091 * [taylor]: Taking taylor expansion of 2 in y 1.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.091 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.091 * [taylor]: Taking taylor expansion of y in y 1.094 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.094 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.094 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.094 * [taylor]: Taking taylor expansion of x in y 1.094 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.094 * [taylor]: Taking taylor expansion of 2 in y 1.094 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.094 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.094 * [taylor]: Taking taylor expansion of y in y 1.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.097 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.097 * [taylor]: Taking taylor expansion of y in y 1.097 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 1.097 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 1.097 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 1.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.098 * [taylor]: Taking taylor expansion of x in x 1.098 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.098 * [taylor]: Taking taylor expansion of 2 in x 1.098 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.098 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.098 * [taylor]: Taking taylor expansion of y in x 1.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.100 * [taylor]: Taking taylor expansion of x in x 1.101 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.101 * [taylor]: Taking taylor expansion of 2 in x 1.101 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.101 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.101 * [taylor]: Taking taylor expansion of y in x 1.103 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.103 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.103 * [taylor]: Taking taylor expansion of y in x 1.103 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 1.103 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 1.103 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 1.103 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.103 * [taylor]: Taking taylor expansion of x in x 1.104 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.104 * [taylor]: Taking taylor expansion of 2 in x 1.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.104 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.104 * [taylor]: Taking taylor expansion of y in x 1.106 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.106 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.106 * [taylor]: Taking taylor expansion of x in x 1.106 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.106 * [taylor]: Taking taylor expansion of 2 in x 1.106 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.106 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.106 * [taylor]: Taking taylor expansion of y in x 1.108 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.108 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.108 * [taylor]: Taking taylor expansion of y in x 1.109 * [taylor]: Taking taylor expansion of 1 in y 1.109 * [taylor]: Taking taylor expansion of 0 in y 1.114 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.114 * [taylor]: Taking taylor expansion of 3 in y 1.114 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.114 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.114 * [taylor]: Taking taylor expansion of y in y 1.120 * [taylor]: Taking taylor expansion of 0 in y 1.134 * [taylor]: Taking taylor expansion of 0 in y 1.137 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in (x y) around 0 1.137 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in y 1.137 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 1.137 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 1.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.137 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.137 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.137 * [taylor]: Taking taylor expansion of x in y 1.137 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.137 * [taylor]: Taking taylor expansion of 2 in y 1.137 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.137 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.137 * [taylor]: Taking taylor expansion of y in y 1.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.140 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.140 * [taylor]: Taking taylor expansion of x in y 1.140 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.140 * [taylor]: Taking taylor expansion of 2 in y 1.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.140 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.140 * [taylor]: Taking taylor expansion of y in y 1.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.143 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.143 * [taylor]: Taking taylor expansion of y in y 1.144 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 1.144 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 1.144 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 1.144 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.144 * [taylor]: Taking taylor expansion of x in x 1.144 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.144 * [taylor]: Taking taylor expansion of 2 in x 1.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.145 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.145 * [taylor]: Taking taylor expansion of y in x 1.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.147 * [taylor]: Taking taylor expansion of x in x 1.147 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.147 * [taylor]: Taking taylor expansion of 2 in x 1.147 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.147 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.147 * [taylor]: Taking taylor expansion of y in x 1.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.149 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.149 * [taylor]: Taking taylor expansion of y in x 1.149 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 1.149 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 1.149 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 1.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.149 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.150 * [taylor]: Taking taylor expansion of x in x 1.150 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.150 * [taylor]: Taking taylor expansion of 2 in x 1.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.150 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.150 * [taylor]: Taking taylor expansion of y in x 1.152 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.152 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.152 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.152 * [taylor]: Taking taylor expansion of x in x 1.153 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.153 * [taylor]: Taking taylor expansion of 2 in x 1.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.153 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.153 * [taylor]: Taking taylor expansion of y in x 1.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.155 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.155 * [taylor]: Taking taylor expansion of y in x 1.155 * [taylor]: Taking taylor expansion of 1 in y 1.156 * [taylor]: Taking taylor expansion of 0 in y 1.160 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.160 * [taylor]: Taking taylor expansion of 3 in y 1.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.160 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.160 * [taylor]: Taking taylor expansion of y in y 1.167 * [taylor]: Taking taylor expansion of 0 in y 1.176 * [taylor]: Taking taylor expansion of 0 in y 1.178 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.178 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 1.178 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.178 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.178 * [taylor]: Taking taylor expansion of x in y 1.178 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.178 * [taylor]: Taking taylor expansion of 2 in y 1.178 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.178 * [taylor]: Taking taylor expansion of y in y 1.178 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.178 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.178 * [taylor]: Taking taylor expansion of x in x 1.178 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.178 * [taylor]: Taking taylor expansion of 2 in x 1.178 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.178 * [taylor]: Taking taylor expansion of y in x 1.178 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.178 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.178 * [taylor]: Taking taylor expansion of x in x 1.178 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.178 * [taylor]: Taking taylor expansion of 2 in x 1.178 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.178 * [taylor]: Taking taylor expansion of y in x 1.178 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.178 * [taylor]: Taking taylor expansion of 2 in y 1.178 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.178 * [taylor]: Taking taylor expansion of y in y 1.179 * [taylor]: Taking taylor expansion of 0 in y 1.180 * [taylor]: Taking taylor expansion of 1 in y 1.183 * [taylor]: Taking taylor expansion of 0 in y 1.186 * [taylor]: Taking taylor expansion of 0 in y 1.186 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.186 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.186 * [taylor]: Taking taylor expansion of x in y 1.187 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.187 * [taylor]: Taking taylor expansion of 2 in y 1.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.187 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.187 * [taylor]: Taking taylor expansion of y in y 1.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.187 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.187 * [taylor]: Taking taylor expansion of x in x 1.188 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.188 * [taylor]: Taking taylor expansion of 2 in x 1.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.188 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.188 * [taylor]: Taking taylor expansion of y in x 1.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.188 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.188 * [taylor]: Taking taylor expansion of x in x 1.188 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.188 * [taylor]: Taking taylor expansion of 2 in x 1.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.188 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.189 * [taylor]: Taking taylor expansion of y in x 1.189 * [taylor]: Taking taylor expansion of 1 in y 1.190 * [taylor]: Taking taylor expansion of 0 in y 1.191 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.191 * [taylor]: Taking taylor expansion of 2 in y 1.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.191 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.191 * [taylor]: Taking taylor expansion of y in y 1.194 * [taylor]: Taking taylor expansion of 0 in y 1.197 * [taylor]: Taking taylor expansion of 0 in y 1.199 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.199 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.199 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.199 * [taylor]: Taking taylor expansion of x in y 1.199 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.199 * [taylor]: Taking taylor expansion of 2 in y 1.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.199 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.199 * [taylor]: Taking taylor expansion of y in y 1.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.200 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.200 * [taylor]: Taking taylor expansion of x in x 1.201 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.201 * [taylor]: Taking taylor expansion of 2 in x 1.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.201 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.201 * [taylor]: Taking taylor expansion of y in x 1.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.201 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.201 * [taylor]: Taking taylor expansion of x in x 1.201 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.201 * [taylor]: Taking taylor expansion of 2 in x 1.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.201 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.201 * [taylor]: Taking taylor expansion of y in x 1.202 * [taylor]: Taking taylor expansion of 1 in y 1.203 * [taylor]: Taking taylor expansion of 0 in y 1.204 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.204 * [taylor]: Taking taylor expansion of 2 in y 1.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.204 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.204 * [taylor]: Taking taylor expansion of y in y 1.207 * [taylor]: Taking taylor expansion of 0 in y 1.215 * [taylor]: Taking taylor expansion of 0 in y 1.217 * * * [progress]: simplifying candidates 1.218 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (log1p (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (exp (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (* (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y y)) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (+ (pow x 2) (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2)))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) 1.223 * * [simplify]: iteration 0 : 175 enodes (cost 645 ) 1.227 * * [simplify]: iteration 1 : 742 enodes (cost 534 ) 1.239 * * [simplify]: iteration 2 : 3044 enodes (cost 495 ) 1.300 * * [simplify]: iteration 3 : 5001 enodes (cost 493 ) 1.303 * [simplify]: Simplified to: (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (pow (hypot x (* (sqrt 2) y)) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (hypot x (* (sqrt 2) y)) (hypot (pow y 3) (pow (fma x x (* y y)) 3/2)) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) 1/2 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (pow (hypot x (* (sqrt 2) y)) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (hypot x (* (sqrt 2) y)) (hypot (pow y 3) (pow (fma x x (* y y)) 3/2)) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) 1/2 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (log1p (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (fma x x (fma y y (* y y))) (log (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (exp (fma (pow y 2) 3 (pow x 2))) (* (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (pow (fma (pow y 2) 3 (pow x 2)) 3) (hypot y (hypot x (* (sqrt 2) y))) (hypot y (hypot x (* (sqrt 2) y))) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (exp (fma x x (fma y y (* y y)))) (exp (fma x x (fma y y (* y y)))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (fma x x (fma y y (* y y)))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (pow (fma x x (fma y y (* y y))) 3) (hypot x (* (sqrt 2) y)) (hypot x (* (sqrt 2) y)) (fma y (pow y 5) (pow (fma x x (* y y)) 3)) (fma (pow x 2) (fma x x (* y y)) (pow y 4)) (* (pow x 2) (fma x x (fma y y (* y y)))) (pow x 2) (fma y y (* y y)) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y))) 1.303 * * * [progress]: adding candidates to table 1.510 * * [progress]: iteration 4 / 4 1.510 * * * [progress]: picking best candidate 1.529 * * * * [pick]: Picked # 1.529 * * * [progress]: localizing error 1.536 * * * [progress]: generating rewritten candidates 1.536 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.537 * * * [progress]: generating series expansions 1.537 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.537 * [approximate]: Taking taylor expansion of (fma (pow y 2) 3 (pow x 2)) in (y x) around 0 1.537 * [taylor]: Taking taylor expansion of (fma (pow y 2) 3 (pow x 2)) in x 1.537 * [taylor]: Rewrote expression to (+ (* (pow y 2) 3) (pow x 2)) 1.537 * [taylor]: Taking taylor expansion of (* (pow y 2) 3) in x 1.537 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.537 * [taylor]: Taking taylor expansion of y in x 1.537 * [taylor]: Taking taylor expansion of 3 in x 1.537 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.537 * [taylor]: Taking taylor expansion of x in x 1.537 * [taylor]: Taking taylor expansion of (fma (pow y 2) 3 (pow x 2)) in y 1.537 * [taylor]: Rewrote expression to (+ (* (pow y 2) 3) (pow x 2)) 1.537 * [taylor]: Taking taylor expansion of (* (pow y 2) 3) in y 1.537 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.537 * [taylor]: Taking taylor expansion of y in y 1.537 * [taylor]: Taking taylor expansion of 3 in y 1.537 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.537 * [taylor]: Taking taylor expansion of x in y 1.537 * [taylor]: Taking taylor expansion of (fma (pow y 2) 3 (pow x 2)) in y 1.537 * [taylor]: Rewrote expression to (+ (* (pow y 2) 3) (pow x 2)) 1.537 * [taylor]: Taking taylor expansion of (* (pow y 2) 3) in y 1.537 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.537 * [taylor]: Taking taylor expansion of y in y 1.538 * [taylor]: Taking taylor expansion of 3 in y 1.538 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.538 * [taylor]: Taking taylor expansion of x in y 1.538 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.538 * [taylor]: Taking taylor expansion of x in x 1.538 * [taylor]: Taking taylor expansion of 0 in x 1.539 * [taylor]: Taking taylor expansion of 3 in x 1.541 * [taylor]: Taking taylor expansion of 0 in x 1.543 * [taylor]: Taking taylor expansion of 0 in x 1.544 * [approximate]: Taking taylor expansion of (fma (pow (/ 1 y) 2) 3 (pow (/ 1 x) 2)) in (y x) around 0 1.544 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 y) 2) 3 (pow (/ 1 x) 2)) in x 1.544 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 y) 2) 3) (pow (/ 1 x) 2)) 1.544 * [taylor]: Taking taylor expansion of (* (pow (/ 1 y) 2) 3) in x 1.544 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 2) in x 1.544 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.544 * [taylor]: Taking taylor expansion of y in x 1.544 * [taylor]: Taking taylor expansion of 3 in x 1.544 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in x 1.544 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.544 * [taylor]: Taking taylor expansion of x in x 1.544 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 y) 2) 3 (pow (/ 1 x) 2)) in y 1.544 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 y) 2) 3) (pow (/ 1 x) 2)) 1.545 * [taylor]: Taking taylor expansion of (* (pow (/ 1 y) 2) 3) in y 1.545 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 2) in y 1.545 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.545 * [taylor]: Taking taylor expansion of y in y 1.545 * [taylor]: Taking taylor expansion of 3 in y 1.545 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in y 1.545 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.545 * [taylor]: Taking taylor expansion of x in y 1.545 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 y) 2) 3 (pow (/ 1 x) 2)) in y 1.545 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 y) 2) 3) (pow (/ 1 x) 2)) 1.545 * [taylor]: Taking taylor expansion of (* (pow (/ 1 y) 2) 3) in y 1.545 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 2) in y 1.545 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.545 * [taylor]: Taking taylor expansion of y in y 1.545 * [taylor]: Taking taylor expansion of 3 in y 1.545 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in y 1.545 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.545 * [taylor]: Taking taylor expansion of x in y 1.546 * [taylor]: Taking taylor expansion of 3 in x 1.548 * [taylor]: Taking taylor expansion of 0 in x 1.549 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.549 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.549 * [taylor]: Taking taylor expansion of x in x 1.552 * [taylor]: Taking taylor expansion of 0 in x 1.555 * [taylor]: Taking taylor expansion of 0 in x 1.556 * [approximate]: Taking taylor expansion of (fma (pow (/ -1 y) 2) 3 (pow (/ -1 x) 2)) in (y x) around 0 1.556 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 y) 2) 3 (pow (/ -1 x) 2)) in x 1.556 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 y) 2) 3) (pow (/ -1 x) 2)) 1.556 * [taylor]: Taking taylor expansion of (* (pow (/ -1 y) 2) 3) in x 1.556 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 2) in x 1.556 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.556 * [taylor]: Taking taylor expansion of -1 in x 1.556 * [taylor]: Taking taylor expansion of y in x 1.556 * [taylor]: Taking taylor expansion of 3 in x 1.556 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in x 1.557 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.557 * [taylor]: Taking taylor expansion of -1 in x 1.557 * [taylor]: Taking taylor expansion of x in x 1.557 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 y) 2) 3 (pow (/ -1 x) 2)) in y 1.557 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 y) 2) 3) (pow (/ -1 x) 2)) 1.557 * [taylor]: Taking taylor expansion of (* (pow (/ -1 y) 2) 3) in y 1.557 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 2) in y 1.557 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.557 * [taylor]: Taking taylor expansion of -1 in y 1.557 * [taylor]: Taking taylor expansion of y in y 1.557 * [taylor]: Taking taylor expansion of 3 in y 1.557 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in y 1.557 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.557 * [taylor]: Taking taylor expansion of -1 in y 1.557 * [taylor]: Taking taylor expansion of x in y 1.557 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 y) 2) 3 (pow (/ -1 x) 2)) in y 1.558 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 y) 2) 3) (pow (/ -1 x) 2)) 1.558 * [taylor]: Taking taylor expansion of (* (pow (/ -1 y) 2) 3) in y 1.558 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 2) in y 1.558 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.558 * [taylor]: Taking taylor expansion of -1 in y 1.558 * [taylor]: Taking taylor expansion of y in y 1.558 * [taylor]: Taking taylor expansion of 3 in y 1.558 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in y 1.558 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.558 * [taylor]: Taking taylor expansion of -1 in y 1.558 * [taylor]: Taking taylor expansion of x in y 1.559 * [taylor]: Taking taylor expansion of 3 in x 1.560 * [taylor]: Taking taylor expansion of 0 in x 1.562 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.562 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.562 * [taylor]: Taking taylor expansion of x in x 1.565 * [taylor]: Taking taylor expansion of 0 in x 1.568 * [taylor]: Taking taylor expansion of 0 in x 1.569 * * * [progress]: simplifying candidates 1.569 * [simplify]: Simplifying using # : (expm1 (fma (pow y 2) 3 (pow x 2))) (log1p (fma (pow y 2) 3 (pow x 2))) (* (pow y 2) 3) (log (fma (pow y 2) 3 (pow x 2))) (exp (fma (pow y 2) 3 (pow x 2))) (* (cbrt (fma (pow y 2) 3 (pow x 2))) (cbrt (fma (pow y 2) 3 (pow x 2)))) (cbrt (fma (pow y 2) 3 (pow x 2))) (* (* (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2))) (fma (pow y 2) 3 (pow x 2))) (sqrt (fma (pow y 2) 3 (pow x 2))) (sqrt (fma (pow y 2) 3 (pow x 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 1.572 * * [simplify]: iteration 0 : 29 enodes (cost 59 ) 1.574 * * [simplify]: iteration 1 : 78 enodes (cost 52 ) 1.577 * * [simplify]: iteration 2 : 260 enodes (cost 52 ) 1.583 * * [simplify]: iteration 3 : 1095 enodes (cost 52 ) 1.623 * * [simplify]: iteration 4 : 5002 enodes (cost 52 ) 1.624 * [simplify]: Simplified to: (expm1 (fma (pow y 2) 3 (pow x 2))) (log1p (fma (pow y 2) 3 (pow x 2))) (* (pow y 2) 3) (log (fma (pow y 2) 3 (pow x 2))) (exp (fma (pow y 2) 3 (pow x 2))) (* (cbrt (fma (pow y 2) 3 (pow x 2))) (cbrt (fma (pow y 2) 3 (pow x 2)))) (cbrt (fma (pow y 2) 3 (pow x 2))) (pow (fma (pow y 2) 3 (pow x 2)) 3) (sqrt (fma (pow y 2) 3 (pow x 2))) (sqrt (fma (pow y 2) 3 (pow x 2))) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) (fma (pow y 2) 3 (pow x 2)) 1.624 * * * [progress]: adding candidates to table 1.654 * [progress]: [Phase 3 of 3] Extracting. 1.654 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 1.657 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 1.657 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # # # #) 1.690 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 1.711 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # # # # #) 1.743 * * * * [regimes]: Trying to branch on (* x x) from (# # # # #) 1.763 * * * * [regimes]: Trying to branch on y from (# # # # # # # # #) 1.799 * * * * [regimes]: Trying to branch on x from (# # # # # # # # #) 1.835 * * * [regime]: Found split indices: #