19.003 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.029 * * * [progress]: [2/2] Setting up program. 0.031 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.033 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.035 * * [simplify]: iteration 1 : 29 enodes (cost 4 ) 0.037 * * [simplify]: iteration 2 : 50 enodes (cost 4 ) 0.038 * * [simplify]: iteration 3 : 70 enodes (cost 3 ) 0.040 * * [simplify]: iteration 4 : 82 enodes (cost 3 ) 0.042 * * [simplify]: iteration 5 : 125 enodes (cost 3 ) 0.044 * * [simplify]: iteration 6 : 229 enodes (cost 3 ) 0.046 * * [simplify]: iteration 7 : 321 enodes (cost 3 ) 0.049 * * [simplify]: iteration 8 : 336 enodes (cost 3 ) 0.052 * * [simplify]: iteration 9 : 436 enodes (cost 3 ) 0.058 * * [simplify]: iteration 10 : 790 enodes (cost 3 ) 0.085 * * [simplify]: iteration 11 : 3492 enodes (cost 3 ) 0.309 * * [simplify]: iteration 12 : 5001 enodes (cost 3 ) 0.310 * [simplify]: Simplified to: (fma 3 (* y y) (* x x)) 0.313 * * [progress]: iteration 1 / 4 0.313 * * * [progress]: picking best candidate 0.315 * * * * [pick]: Picked # 0.315 * * * [progress]: localizing error 0.320 * * * [progress]: generating rewritten candidates 0.320 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.321 * * * [progress]: generating series expansions 0.321 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.321 * [approximate]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in (y x) around 0 0.321 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in x 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 x 0.321 * [taylor]: Taking taylor expansion of 3 in x 0.321 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.321 * [taylor]: Taking taylor expansion of y in x 0.321 * [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 0.322 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.322 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.322 * [taylor]: Taking taylor expansion of 3 in y 0.322 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.322 * [taylor]: Taking taylor expansion of y in y 0.322 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.322 * [taylor]: Taking taylor expansion of x in y 0.322 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.322 * [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 0.325 * [taylor]: Taking taylor expansion of 0 in x 0.328 * [taylor]: Taking taylor expansion of 0 in x 0.328 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.328 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 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 x 0.328 * [taylor]: Taking taylor expansion of 3 in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.328 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.328 * [taylor]: Taking taylor expansion of y in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (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 (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.330 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.330 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.330 * [taylor]: Taking taylor expansion of 3 in y 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.330 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.330 * [taylor]: Taking taylor expansion of x in y 0.331 * [taylor]: Taking taylor expansion of 3 in x 0.332 * [taylor]: Taking taylor expansion of 0 in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.334 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of 0 in x 0.340 * [taylor]: Taking taylor expansion of 0 in x 0.341 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.341 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 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 x 0.341 * [taylor]: Taking taylor expansion of 3 in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.341 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.341 * [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 0.342 * [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 (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.343 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.343 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.343 * [taylor]: Taking taylor expansion of 3 in y 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.343 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.343 * [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 0.344 * [taylor]: Taking taylor expansion of 3 in x 0.345 * [taylor]: Taking taylor expansion of 0 in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.351 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of 0 in x 0.357 * [taylor]: Taking taylor expansion of 0 in x 0.358 * * * [progress]: simplifying candidates 0.358 * [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))) 0.361 * * [simplify]: iteration 0 : 33 enodes (cost 59 ) 0.362 * * [simplify]: iteration 1 : 84 enodes (cost 52 ) 0.364 * * [simplify]: iteration 2 : 267 enodes (cost 52 ) 0.370 * * [simplify]: iteration 3 : 1089 enodes (cost 52 ) 0.409 * * [simplify]: iteration 4 : 5002 enodes (cost 52 ) 0.410 * [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)) 0.410 * * * [progress]: adding candidates to table 0.432 * * [progress]: iteration 2 / 4 0.432 * * * [progress]: picking best candidate 0.438 * * * * [pick]: Picked # 0.438 * * * [progress]: localizing error 0.445 * * * [progress]: generating rewritten candidates 0.445 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.501 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.514 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.518 * * * [progress]: generating series expansions 0.518 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.518 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.518 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.518 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.518 * [taylor]: Taking taylor expansion of x in y 0.518 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.518 * [taylor]: Taking taylor expansion of 3 in y 0.518 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.518 * [taylor]: Taking taylor expansion of y in y 0.518 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.518 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.518 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.518 * [taylor]: Taking taylor expansion of 3 in x 0.518 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.518 * [taylor]: Taking taylor expansion of y in x 0.518 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.518 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.518 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.518 * [taylor]: Taking taylor expansion of 3 in x 0.519 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.519 * [taylor]: Taking taylor expansion of y in x 0.519 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.519 * [taylor]: Taking taylor expansion of 3 in y 0.519 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.519 * [taylor]: Taking taylor expansion of y in y 0.520 * [taylor]: Taking taylor expansion of 0 in y 0.521 * [taylor]: Taking taylor expansion of 1 in y 0.524 * [taylor]: Taking taylor expansion of 0 in y 0.527 * [taylor]: Taking taylor expansion of 0 in y 0.528 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.528 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.528 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.528 * [taylor]: Taking taylor expansion of x in y 0.528 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.528 * [taylor]: Taking taylor expansion of 3 in y 0.528 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.528 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.528 * [taylor]: Taking taylor expansion of y in y 0.529 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.529 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.529 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.529 * [taylor]: Taking taylor expansion of 3 in x 0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.529 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.529 * [taylor]: Taking taylor expansion of y in x 0.529 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.529 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.530 * [taylor]: Taking taylor expansion of 3 in x 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.530 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.530 * [taylor]: Taking taylor expansion of y in x 0.531 * [taylor]: Taking taylor expansion of 1 in y 0.532 * [taylor]: Taking taylor expansion of 0 in y 0.533 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.533 * [taylor]: Taking taylor expansion of 3 in y 0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.533 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.533 * [taylor]: Taking taylor expansion of y in y 0.536 * [taylor]: Taking taylor expansion of 0 in y 0.539 * [taylor]: Taking taylor expansion of 0 in y 0.541 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.541 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.541 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.541 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.541 * [taylor]: Taking taylor expansion of x in y 0.541 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.541 * [taylor]: Taking taylor expansion of 3 in y 0.541 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.541 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.541 * [taylor]: Taking taylor expansion of y in y 0.542 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.542 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.543 * [taylor]: Taking taylor expansion of 3 in x 0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.543 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.543 * [taylor]: Taking taylor expansion of y in x 0.543 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.543 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.543 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.543 * [taylor]: Taking taylor expansion of 3 in x 0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.543 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.543 * [taylor]: Taking taylor expansion of y in x 0.544 * [taylor]: Taking taylor expansion of 1 in y 0.545 * [taylor]: Taking taylor expansion of 0 in y 0.546 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.546 * [taylor]: Taking taylor expansion of 3 in y 0.546 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.546 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.546 * [taylor]: Taking taylor expansion of y in y 0.552 * [taylor]: Taking taylor expansion of 0 in y 0.556 * [taylor]: Taking taylor expansion of 0 in y 0.557 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.558 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.558 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.558 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.558 * [taylor]: Taking taylor expansion of x in y 0.558 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.558 * [taylor]: Taking taylor expansion of 2 in y 0.558 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.558 * [taylor]: Taking taylor expansion of y in y 0.558 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.558 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.558 * [taylor]: Taking taylor expansion of 2 in x 0.558 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.558 * [taylor]: Taking taylor expansion of y in x 0.558 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.558 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.558 * [taylor]: Taking taylor expansion of 2 in x 0.558 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.558 * [taylor]: Taking taylor expansion of y in x 0.558 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.558 * [taylor]: Taking taylor expansion of 2 in y 0.558 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.558 * [taylor]: Taking taylor expansion of y in y 0.559 * [taylor]: Taking taylor expansion of 0 in y 0.560 * [taylor]: Taking taylor expansion of 1 in y 0.563 * [taylor]: Taking taylor expansion of 0 in y 0.566 * [taylor]: Taking taylor expansion of 0 in y 0.566 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.566 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.566 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.566 * [taylor]: Taking taylor expansion of x in y 0.566 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.567 * [taylor]: Taking taylor expansion of 2 in y 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.567 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.567 * [taylor]: Taking taylor expansion of y in y 0.567 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.567 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.568 * [taylor]: Taking taylor expansion of 2 in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.568 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.568 * [taylor]: Taking taylor expansion of y in x 0.568 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.568 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.568 * [taylor]: Taking taylor expansion of 2 in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.568 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.568 * [taylor]: Taking taylor expansion of y in x 0.569 * [taylor]: Taking taylor expansion of 1 in y 0.570 * [taylor]: Taking taylor expansion of 0 in y 0.571 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.571 * [taylor]: Taking taylor expansion of 2 in y 0.571 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.571 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.571 * [taylor]: Taking taylor expansion of y in y 0.574 * [taylor]: Taking taylor expansion of 0 in y 0.577 * [taylor]: Taking taylor expansion of 0 in y 0.579 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.579 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.579 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.579 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.579 * [taylor]: Taking taylor expansion of x in y 0.579 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.579 * [taylor]: Taking taylor expansion of 2 in y 0.579 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.579 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.579 * [taylor]: Taking taylor expansion of y in y 0.580 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.580 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.580 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.581 * [taylor]: Taking taylor expansion of 2 in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.581 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.581 * [taylor]: Taking taylor expansion of y in x 0.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.581 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.581 * [taylor]: Taking taylor expansion of 2 in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.581 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.581 * [taylor]: Taking taylor expansion of y in x 0.582 * [taylor]: Taking taylor expansion of 1 in y 0.583 * [taylor]: Taking taylor expansion of 0 in y 0.586 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.586 * [taylor]: Taking taylor expansion of 2 in y 0.586 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.586 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.586 * [taylor]: Taking taylor expansion of y in y 0.589 * [taylor]: Taking taylor expansion of 0 in y 0.592 * [taylor]: Taking taylor expansion of 0 in y 0.594 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.594 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.594 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.594 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.594 * [taylor]: Taking taylor expansion of x in y 0.594 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.594 * [taylor]: Taking taylor expansion of y in y 0.594 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.594 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.594 * [taylor]: Taking taylor expansion of y in x 0.594 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.594 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.594 * [taylor]: Taking taylor expansion of y in x 0.594 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.594 * [taylor]: Taking taylor expansion of y in y 0.595 * [taylor]: Taking taylor expansion of 0 in y 0.596 * [taylor]: Taking taylor expansion of 1 in y 0.597 * [taylor]: Taking taylor expansion of 0 in y 0.599 * [taylor]: Taking taylor expansion of 0 in y 0.599 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.599 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.599 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.599 * [taylor]: Taking taylor expansion of x in y 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.599 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.599 * [taylor]: Taking taylor expansion of y in y 0.600 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.600 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.600 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.600 * [taylor]: Taking taylor expansion of y in x 0.600 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.600 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.601 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.601 * [taylor]: Taking taylor expansion of y in x 0.601 * [taylor]: Taking taylor expansion of 1 in y 0.602 * [taylor]: Taking taylor expansion of 0 in y 0.603 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.604 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.604 * [taylor]: Taking taylor expansion of y in y 0.605 * [taylor]: Taking taylor expansion of 0 in y 0.608 * [taylor]: Taking taylor expansion of 0 in y 0.609 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.609 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.609 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.609 * [taylor]: Taking taylor expansion of x in y 0.610 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.610 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.610 * [taylor]: Taking taylor expansion of y in y 0.610 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.610 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.611 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.611 * [taylor]: Taking taylor expansion of y in x 0.611 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.611 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.611 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.611 * [taylor]: Taking taylor expansion of y in x 0.612 * [taylor]: Taking taylor expansion of 1 in y 0.613 * [taylor]: Taking taylor expansion of 0 in y 0.614 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.614 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.614 * [taylor]: Taking taylor expansion of y in y 0.616 * [taylor]: Taking taylor expansion of 0 in y 0.618 * [taylor]: Taking taylor expansion of 0 in y 0.620 * * * [progress]: simplifying candidates 0.620 * [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)) 0.625 * * [simplify]: iteration 0 : 237 enodes (cost 373 ) 0.631 * * [simplify]: iteration 1 : 1141 enodes (cost 313 ) 0.651 * * [simplify]: iteration 2 : 4748 enodes (cost 287 ) 0.753 * * [simplify]: iteration 3 : 5001 enodes (cost 286 ) 0.755 * [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)) 0.755 * * * [progress]: adding candidates to table 0.882 * * [progress]: iteration 3 / 4 0.882 * * * [progress]: picking best candidate 0.890 * * * * [pick]: Picked # 0.891 * * * [progress]: localizing error 0.899 * * * [progress]: generating rewritten candidates 0.899 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.914 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.929 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.929 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.947 * * * [progress]: generating series expansions 0.947 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.947 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.947 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.947 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.947 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.947 * [taylor]: Taking taylor expansion of x in y 0.947 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.947 * [taylor]: Taking taylor expansion of 2 in y 0.947 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.947 * [taylor]: Taking taylor expansion of y in y 0.948 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.948 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.948 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.948 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.948 * [taylor]: Taking taylor expansion of 2 in x 0.948 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.948 * [taylor]: Taking taylor expansion of y in x 0.949 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.949 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.949 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.949 * [taylor]: Taking taylor expansion of x in x 0.949 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.949 * [taylor]: Taking taylor expansion of 2 in x 0.949 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.949 * [taylor]: Taking taylor expansion of y in x 0.950 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.950 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.950 * [taylor]: Taking taylor expansion of 2 in y 0.951 * [taylor]: Taking taylor expansion of y in y 0.951 * [taylor]: Taking taylor expansion of 0 in y 0.955 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.955 * [taylor]: Taking taylor expansion of 1/2 in y 0.955 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.955 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.955 * [taylor]: Taking taylor expansion of 2 in y 0.955 * [taylor]: Taking taylor expansion of y in y 0.963 * [taylor]: Taking taylor expansion of 0 in y 0.965 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.965 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.965 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.965 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.965 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.966 * [taylor]: Taking taylor expansion of x in y 0.966 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.966 * [taylor]: Taking taylor expansion of 2 in y 0.966 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.966 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.966 * [taylor]: Taking taylor expansion of y in y 0.969 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.969 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.969 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.969 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.969 * [taylor]: Taking taylor expansion of x in x 0.969 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.969 * [taylor]: Taking taylor expansion of 2 in x 0.969 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.969 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.969 * [taylor]: Taking taylor expansion of y in x 0.971 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.971 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.971 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.971 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.972 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.972 * [taylor]: Taking taylor expansion of 2 in x 0.972 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.972 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.972 * [taylor]: Taking taylor expansion of y in x 0.974 * [taylor]: Taking taylor expansion of 1 in y 0.974 * [taylor]: Taking taylor expansion of 0 in y 0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.976 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.976 * [taylor]: Taking taylor expansion of y in y 0.980 * [taylor]: Taking taylor expansion of 0 in y 0.981 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.981 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.981 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.981 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.981 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.981 * [taylor]: Taking taylor expansion of x in y 0.981 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.981 * [taylor]: Taking taylor expansion of 2 in y 0.981 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.981 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.981 * [taylor]: Taking taylor expansion of y in y 0.984 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.984 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.984 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.984 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.985 * [taylor]: Taking taylor expansion of 2 in x 0.985 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.985 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.985 * [taylor]: Taking taylor expansion of y in x 0.987 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.987 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.987 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.987 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.987 * [taylor]: Taking taylor expansion of x in x 0.987 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.987 * [taylor]: Taking taylor expansion of 2 in x 0.987 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.987 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.987 * [taylor]: Taking taylor expansion of y in x 0.989 * [taylor]: Taking taylor expansion of 1 in y 0.989 * [taylor]: Taking taylor expansion of 0 in y 0.992 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.992 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.992 * [taylor]: Taking taylor expansion of y in y 0.995 * [taylor]: Taking taylor expansion of 0 in y 0.996 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.996 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.996 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.996 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.996 * [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 0.997 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.997 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.997 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.997 * [taylor]: Taking taylor expansion of x in x 0.997 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.997 * [taylor]: Taking taylor expansion of 2 in x 0.997 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.997 * [taylor]: Taking taylor expansion of y in x 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 2) y) in y 0.999 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.999 * [taylor]: Taking taylor expansion of 2 in y 1.000 * [taylor]: Taking taylor expansion of y in y 1.000 * [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 1.004 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.004 * [taylor]: Taking taylor expansion of 2 in y 1.004 * [taylor]: Taking taylor expansion of y in y 1.012 * [taylor]: Taking taylor expansion of 0 in y 1.014 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.014 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.014 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.014 * [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 1.018 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.018 * [taylor]: Taking taylor expansion of 2 in x 1.018 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.018 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.018 * [taylor]: Taking taylor expansion of y in x 1.026 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.027 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.027 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.027 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.027 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.027 * [taylor]: Taking taylor expansion of 2 in x 1.027 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.027 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.027 * [taylor]: Taking taylor expansion of y in x 1.029 * [taylor]: Taking taylor expansion of 1 in y 1.029 * [taylor]: Taking taylor expansion of 0 in y 1.031 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.031 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.031 * [taylor]: Taking taylor expansion of y in y 1.035 * [taylor]: Taking taylor expansion of 0 in y 1.036 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.036 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.036 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.036 * [taylor]: Taking taylor expansion of x in y 1.036 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.036 * [taylor]: Taking taylor expansion of 2 in y 1.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.036 * [taylor]: Taking taylor expansion of y in y 1.039 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.040 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.040 * [taylor]: Taking taylor expansion of 2 in x 1.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.040 * [taylor]: Taking taylor expansion of y in x 1.042 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.042 * [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 1.050 * [taylor]: Taking taylor expansion of 0 in y 1.051 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.051 * [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 1.052 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.052 * [taylor]: Taking taylor expansion of x in y 1.052 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.052 * [taylor]: Taking taylor expansion of 2 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 (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.052 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.052 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.052 * [taylor]: Taking taylor expansion of x in y 1.052 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.052 * [taylor]: Taking taylor expansion of 2 in y 1.052 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.052 * [taylor]: Taking taylor expansion of y in y 1.053 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.053 * [taylor]: Taking taylor expansion of y in y 1.053 * [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 1.053 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 1.053 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) 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 (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 1.054 * [taylor]: Taking taylor expansion of x in x 1.054 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.054 * [taylor]: Taking taylor expansion of 2 in x 1.054 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.054 * [taylor]: Taking taylor expansion of y in x 1.055 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.055 * [taylor]: Taking taylor expansion of y in x 1.055 * [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 1.055 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 1.055 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 1.055 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.055 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.055 * [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 1.059 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 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 (* (pow (sqrt 2) 2) (pow y 2)) in y 1.059 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.059 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.059 * [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 1.060 * [taylor]: Taking taylor expansion of 0 in y 1.066 * [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 1.091 * [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 1.091 * [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 1.091 * [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))) 1.091 * [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 1.095 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.095 * [taylor]: Taking taylor expansion of x in y 1.095 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.095 * [taylor]: Taking taylor expansion of 2 in y 1.095 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.095 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.095 * [taylor]: Taking taylor expansion of y in y 1.098 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.098 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.098 * [taylor]: Taking taylor expansion of y in y 1.098 * [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 1.098 * [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))) 1.098 * [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 1.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.099 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.099 * [taylor]: Taking taylor expansion of x in x 1.099 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.099 * [taylor]: Taking taylor expansion of 2 in x 1.099 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.099 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.099 * [taylor]: Taking taylor expansion of y in x 1.101 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.101 * [taylor]: Taking taylor expansion of x in x 1.102 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.102 * [taylor]: Taking taylor expansion of 2 in x 1.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.102 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.102 * [taylor]: Taking taylor expansion of y 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 1.104 * [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 1.104 * [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))) 1.104 * [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 1.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.104 * [taylor]: Taking taylor expansion of x in x 1.105 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.105 * [taylor]: Taking taylor expansion of 2 in x 1.105 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.105 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.105 * [taylor]: Taking taylor expansion of y in x 1.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.107 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.107 * [taylor]: Taking taylor expansion of 2 in x 1.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.107 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.107 * [taylor]: Taking taylor expansion of y in x 1.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.115 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.115 * [taylor]: Taking taylor expansion of y in x 1.116 * [taylor]: Taking taylor expansion of 1 in y 1.117 * [taylor]: Taking taylor expansion of 0 in y 1.121 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.121 * [taylor]: Taking taylor expansion of 3 in y 1.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.121 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.121 * [taylor]: Taking taylor expansion of y in y 1.128 * [taylor]: Taking taylor expansion of 0 in y 1.137 * [taylor]: Taking taylor expansion of 0 in y 1.140 * [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 1.140 * [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 1.140 * [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))) 1.140 * [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 1.140 * [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 (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.143 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.143 * [taylor]: Taking taylor expansion of x in y 1.143 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.143 * [taylor]: Taking taylor expansion of 2 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 1.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.146 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.146 * [taylor]: Taking taylor expansion of y in y 1.147 * [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 1.147 * [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))) 1.147 * [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 1.147 * [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 (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 1.149 * [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 (/ 1 (pow y 2)) in x 1.152 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.152 * [taylor]: Taking taylor expansion of y in x 1.152 * [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 1.152 * [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))) 1.152 * [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 1.152 * [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 (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.155 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.155 * [taylor]: Taking taylor expansion of x in x 1.155 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.155 * [taylor]: Taking taylor expansion of 2 in x 1.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.156 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.156 * [taylor]: Taking taylor expansion of y in x 1.157 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.157 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.157 * [taylor]: Taking taylor expansion of y in x 1.158 * [taylor]: Taking taylor expansion of 1 in y 1.159 * [taylor]: Taking taylor expansion of 0 in y 1.163 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.163 * [taylor]: Taking taylor expansion of 3 in y 1.163 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.163 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.163 * [taylor]: Taking taylor expansion of y in y 1.169 * [taylor]: Taking taylor expansion of 0 in y 1.179 * [taylor]: Taking taylor expansion of 0 in y 1.181 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.181 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 1.181 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.181 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.181 * [taylor]: Taking taylor expansion of x in y 1.181 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.181 * [taylor]: Taking taylor expansion of 2 in y 1.181 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.181 * [taylor]: Taking taylor expansion of y in y 1.181 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.181 * [taylor]: Taking taylor expansion of x in x 1.181 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.181 * [taylor]: Taking taylor expansion of 2 in x 1.181 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.181 * [taylor]: Taking taylor expansion of y in x 1.181 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.181 * [taylor]: Taking taylor expansion of x in x 1.181 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.181 * [taylor]: Taking taylor expansion of 2 in x 1.181 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.181 * [taylor]: Taking taylor expansion of y in x 1.181 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.181 * [taylor]: Taking taylor expansion of 2 in y 1.181 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.181 * [taylor]: Taking taylor expansion of y in y 1.182 * [taylor]: Taking taylor expansion of 0 in y 1.183 * [taylor]: Taking taylor expansion of 1 in y 1.186 * [taylor]: Taking taylor expansion of 0 in y 1.189 * [taylor]: Taking taylor expansion of 0 in y 1.190 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.190 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.190 * [taylor]: Taking taylor expansion of x in y 1.190 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.190 * [taylor]: Taking taylor expansion of 2 in y 1.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.190 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.190 * [taylor]: Taking taylor expansion of y in y 1.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.190 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.190 * [taylor]: Taking taylor expansion of x in x 1.191 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.191 * [taylor]: Taking taylor expansion of 2 in x 1.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.191 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.191 * [taylor]: Taking taylor expansion of y in x 1.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.191 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.191 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.191 * [taylor]: Taking taylor expansion of x in x 1.192 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.192 * [taylor]: Taking taylor expansion of 2 in x 1.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.192 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.192 * [taylor]: Taking taylor expansion of y in x 1.192 * [taylor]: Taking taylor expansion of 1 in y 1.193 * [taylor]: Taking taylor expansion of 0 in y 1.194 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.194 * [taylor]: Taking taylor expansion of 2 in y 1.194 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.194 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.194 * [taylor]: Taking taylor expansion of y in y 1.197 * [taylor]: Taking taylor expansion of 0 in y 1.207 * [taylor]: Taking taylor expansion of 0 in y 1.209 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.209 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.209 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.209 * [taylor]: Taking taylor expansion of x in y 1.209 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.209 * [taylor]: Taking taylor expansion of 2 in y 1.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.209 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.209 * [taylor]: Taking taylor expansion of y in y 1.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.210 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.210 * [taylor]: Taking taylor expansion of x in x 1.210 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.210 * [taylor]: Taking taylor expansion of 2 in x 1.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.211 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.211 * [taylor]: Taking taylor expansion of y in x 1.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.211 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.211 * [taylor]: Taking taylor expansion of x in x 1.211 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.211 * [taylor]: Taking taylor expansion of 2 in x 1.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.211 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.211 * [taylor]: Taking taylor expansion of y in x 1.212 * [taylor]: Taking taylor expansion of 1 in y 1.213 * [taylor]: Taking taylor expansion of 0 in y 1.214 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.214 * [taylor]: Taking taylor expansion of 2 in y 1.214 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.214 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.214 * [taylor]: Taking taylor expansion of y in y 1.217 * [taylor]: Taking taylor expansion of 0 in y 1.220 * [taylor]: Taking taylor expansion of 0 in y 1.222 * * * [progress]: simplifying candidates 1.223 * [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))) 1.228 * * [simplify]: iteration 0 : 175 enodes (cost 645 ) 1.233 * * [simplify]: iteration 1 : 742 enodes (cost 534 ) 1.246 * * [simplify]: iteration 2 : 3044 enodes (cost 495 ) 1.309 * * [simplify]: iteration 3 : 5001 enodes (cost 493 ) 1.311 * [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))) 1.312 * * * [progress]: adding candidates to table 1.518 * * [progress]: iteration 4 / 4 1.518 * * * [progress]: picking best candidate 1.528 * * * * [pick]: Picked # 1.528 * * * [progress]: localizing error 1.535 * * * [progress]: generating rewritten candidates 1.535 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.537 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.538 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 3) 1.539 * * * [progress]: generating series expansions 1.539 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.539 * [approximate]: Taking taylor expansion of (+ (pow y 2) (fma x x (fma y y (pow y 2)))) in (x y) around 0 1.539 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x x (fma y y (pow y 2)))) in y 1.539 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.539 * [taylor]: Taking taylor expansion of y in y 1.539 * [taylor]: Taking taylor expansion of (fma x x (fma y y (pow y 2))) in y 1.539 * [taylor]: Rewrote expression to (+ (* x x) (fma y y (pow y 2))) 1.539 * [taylor]: Taking taylor expansion of (* x x) in y 1.539 * [taylor]: Taking taylor expansion of x in y 1.539 * [taylor]: Taking taylor expansion of x in y 1.539 * [taylor]: Taking taylor expansion of (fma y y (pow y 2)) in y 1.539 * [taylor]: Rewrote expression to (+ (* y y) (pow y 2)) 1.539 * [taylor]: Taking taylor expansion of (* y y) in y 1.539 * [taylor]: Taking taylor expansion of y in y 1.539 * [taylor]: Taking taylor expansion of y in y 1.539 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.539 * [taylor]: Taking taylor expansion of y in y 1.539 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x x (fma y y (pow y 2)))) in x 1.539 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.539 * [taylor]: Taking taylor expansion of y in x 1.539 * [taylor]: Taking taylor expansion of (fma x x (fma y y (pow y 2))) in x 1.539 * [taylor]: Rewrote expression to (+ (* x x) (fma y y (pow y 2))) 1.539 * [taylor]: Taking taylor expansion of (* x x) in x 1.539 * [taylor]: Taking taylor expansion of x in x 1.539 * [taylor]: Taking taylor expansion of x in x 1.539 * [taylor]: Taking taylor expansion of (fma y y (pow y 2)) in x 1.540 * [taylor]: Rewrote expression to (+ (* y y) (pow y 2)) 1.540 * [taylor]: Taking taylor expansion of (* y y) in x 1.540 * [taylor]: Taking taylor expansion of y in x 1.540 * [taylor]: Taking taylor expansion of y in x 1.540 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.540 * [taylor]: Taking taylor expansion of y in x 1.540 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x x (fma y y (pow y 2)))) in x 1.540 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.540 * [taylor]: Taking taylor expansion of y in x 1.540 * [taylor]: Taking taylor expansion of (fma x x (fma y y (pow y 2))) in x 1.540 * [taylor]: Rewrote expression to (+ (* x x) (fma y y (pow y 2))) 1.540 * [taylor]: Taking taylor expansion of (* x x) in x 1.540 * [taylor]: Taking taylor expansion of x in x 1.540 * [taylor]: Taking taylor expansion of x in x 1.540 * [taylor]: Taking taylor expansion of (fma y y (pow y 2)) in x 1.540 * [taylor]: Rewrote expression to (+ (* y y) (pow y 2)) 1.540 * [taylor]: Taking taylor expansion of (* y y) in x 1.540 * [taylor]: Taking taylor expansion of y in x 1.540 * [taylor]: Taking taylor expansion of y in x 1.540 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.540 * [taylor]: Taking taylor expansion of y in x 1.541 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.541 * [taylor]: Taking taylor expansion of 3 in y 1.541 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.541 * [taylor]: Taking taylor expansion of y in y 1.542 * [taylor]: Taking taylor expansion of 0 in y 1.544 * [taylor]: Taking taylor expansion of 1 in y 1.547 * [taylor]: Taking taylor expansion of 0 in y 1.551 * [taylor]: Taking taylor expansion of 0 in y 1.552 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2))))) in (x y) around 0 1.552 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2))))) in y 1.552 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.552 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.552 * [taylor]: Taking taylor expansion of y in y 1.553 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2)))) in y 1.553 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2)))) 1.553 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.553 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.553 * [taylor]: Taking taylor expansion of x in y 1.553 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.553 * [taylor]: Taking taylor expansion of x in y 1.553 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2))) in y 1.553 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ 1 (pow y 2))) 1.553 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.553 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.553 * [taylor]: Taking taylor expansion of y in y 1.553 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.553 * [taylor]: Taking taylor expansion of y in y 1.553 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.554 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.554 * [taylor]: Taking taylor expansion of y in y 1.554 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2))))) in x 1.554 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.554 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.554 * [taylor]: Taking taylor expansion of y in x 1.554 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2)))) in x 1.554 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2)))) 1.554 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.554 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.554 * [taylor]: Taking taylor expansion of x in x 1.555 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.555 * [taylor]: Taking taylor expansion of x in x 1.555 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2))) in x 1.555 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ 1 (pow y 2))) 1.555 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.555 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.555 * [taylor]: Taking taylor expansion of y in x 1.555 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.555 * [taylor]: Taking taylor expansion of y in x 1.555 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.555 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.555 * [taylor]: Taking taylor expansion of y in x 1.555 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2))))) in x 1.555 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.555 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.555 * [taylor]: Taking taylor expansion of y in x 1.555 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2)))) in x 1.555 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2)))) 1.556 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.556 * [taylor]: Taking taylor expansion of x in x 1.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.556 * [taylor]: Taking taylor expansion of x in x 1.556 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2))) in x 1.556 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ 1 (pow y 2))) 1.556 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.556 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.556 * [taylor]: Taking taylor expansion of y in x 1.556 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.556 * [taylor]: Taking taylor expansion of y in x 1.556 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.556 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.556 * [taylor]: Taking taylor expansion of y in x 1.557 * [taylor]: Taking taylor expansion of 1 in y 1.559 * [taylor]: Taking taylor expansion of 0 in y 1.561 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.561 * [taylor]: Taking taylor expansion of 3 in y 1.561 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.561 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.561 * [taylor]: Taking taylor expansion of y in y 1.564 * [taylor]: Taking taylor expansion of 0 in y 1.569 * [taylor]: Taking taylor expansion of 0 in y 1.571 * [approximate]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2)))) (/ 1 (pow y 2))) in (x y) around 0 1.571 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2)))) (/ 1 (pow y 2))) in y 1.571 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2)))) in y 1.571 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2)))) 1.571 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.571 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.571 * [taylor]: Taking taylor expansion of -1 in y 1.571 * [taylor]: Taking taylor expansion of x in y 1.571 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.571 * [taylor]: Taking taylor expansion of -1 in y 1.571 * [taylor]: Taking taylor expansion of x in y 1.571 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2))) in y 1.572 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (/ 1 (pow y 2))) 1.572 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.572 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.572 * [taylor]: Taking taylor expansion of -1 in y 1.572 * [taylor]: Taking taylor expansion of y in y 1.572 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.572 * [taylor]: Taking taylor expansion of -1 in y 1.572 * [taylor]: Taking taylor expansion of y in y 1.572 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.572 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.572 * [taylor]: Taking taylor expansion of y 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 1.573 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2)))) (/ 1 (pow y 2))) in x 1.573 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2)))) in x 1.574 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2)))) 1.574 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.574 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.574 * [taylor]: Taking taylor expansion of -1 in x 1.574 * [taylor]: Taking taylor expansion of x in x 1.574 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.574 * [taylor]: Taking taylor expansion of -1 in x 1.574 * [taylor]: Taking taylor expansion of x in x 1.574 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2))) in x 1.574 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (/ 1 (pow y 2))) 1.574 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.574 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.574 * [taylor]: Taking taylor expansion of -1 in x 1.574 * [taylor]: Taking taylor expansion of y in x 1.574 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.574 * [taylor]: Taking taylor expansion of -1 in x 1.574 * [taylor]: Taking taylor expansion of y in x 1.575 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.575 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.575 * [taylor]: Taking taylor expansion of y in x 1.575 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.575 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.575 * [taylor]: Taking taylor expansion of y in x 1.575 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2)))) (/ 1 (pow y 2))) in x 1.575 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2)))) in x 1.575 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2)))) 1.575 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.575 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.575 * [taylor]: Taking taylor expansion of -1 in x 1.575 * [taylor]: Taking taylor expansion of x in x 1.575 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.575 * [taylor]: Taking taylor expansion of -1 in x 1.575 * [taylor]: Taking taylor expansion of x in x 1.576 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2))) in x 1.576 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (/ 1 (pow y 2))) 1.576 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.576 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.576 * [taylor]: Taking taylor expansion of -1 in x 1.576 * [taylor]: Taking taylor expansion of y in x 1.576 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.576 * [taylor]: Taking taylor expansion of -1 in x 1.580 * [taylor]: Taking taylor expansion of y in x 1.580 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.580 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.580 * [taylor]: Taking taylor expansion of y in x 1.581 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.581 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.581 * [taylor]: Taking taylor expansion of y in x 1.582 * [taylor]: Taking taylor expansion of 1 in y 1.583 * [taylor]: Taking taylor expansion of 0 in y 1.585 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.585 * [taylor]: Taking taylor expansion of 3 in y 1.585 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.585 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.585 * [taylor]: Taking taylor expansion of y in y 1.589 * [taylor]: Taking taylor expansion of 0 in y 1.594 * [taylor]: Taking taylor expansion of 0 in y 1.596 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.596 * [approximate]: Taking taylor expansion of (fma x x (fma y y (pow y 2))) in (x y) around 0 1.596 * [taylor]: Taking taylor expansion of (fma x x (fma y y (pow y 2))) in y 1.596 * [taylor]: Rewrote expression to (+ (* x x) (fma y y (pow y 2))) 1.596 * [taylor]: Taking taylor expansion of (* x x) in y 1.596 * [taylor]: Taking taylor expansion of x in y 1.596 * [taylor]: Taking taylor expansion of x in y 1.596 * [taylor]: Taking taylor expansion of (fma y y (pow y 2)) in y 1.596 * [taylor]: Rewrote expression to (+ (* y y) (pow y 2)) 1.596 * [taylor]: Taking taylor expansion of (* y y) in y 1.596 * [taylor]: Taking taylor expansion of y in y 1.596 * [taylor]: Taking taylor expansion of y in y 1.596 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.596 * [taylor]: Taking taylor expansion of y in y 1.596 * [taylor]: Taking taylor expansion of (fma x x (fma y y (pow y 2))) in x 1.596 * [taylor]: Rewrote expression to (+ (* x x) (fma y y (pow y 2))) 1.596 * [taylor]: Taking taylor expansion of (* x x) in x 1.596 * [taylor]: Taking taylor expansion of x in x 1.596 * [taylor]: Taking taylor expansion of x in x 1.596 * [taylor]: Taking taylor expansion of (fma y y (pow y 2)) in x 1.597 * [taylor]: Rewrote expression to (+ (* y y) (pow y 2)) 1.597 * [taylor]: Taking taylor expansion of (* y y) in x 1.597 * [taylor]: Taking taylor expansion of y in x 1.597 * [taylor]: Taking taylor expansion of y in x 1.597 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.597 * [taylor]: Taking taylor expansion of y in x 1.597 * [taylor]: Taking taylor expansion of (fma x x (fma y y (pow y 2))) in x 1.597 * [taylor]: Rewrote expression to (+ (* x x) (fma y y (pow y 2))) 1.597 * [taylor]: Taking taylor expansion of (* x x) in x 1.597 * [taylor]: Taking taylor expansion of x in x 1.597 * [taylor]: Taking taylor expansion of x in x 1.597 * [taylor]: Taking taylor expansion of (fma y y (pow y 2)) in x 1.597 * [taylor]: Rewrote expression to (+ (* y y) (pow y 2)) 1.597 * [taylor]: Taking taylor expansion of (* y y) in x 1.597 * [taylor]: Taking taylor expansion of y in x 1.597 * [taylor]: Taking taylor expansion of y in x 1.597 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.597 * [taylor]: Taking taylor expansion of y in x 1.597 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.597 * [taylor]: Taking taylor expansion of 2 in y 1.598 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.598 * [taylor]: Taking taylor expansion of y in y 1.598 * [taylor]: Taking taylor expansion of 0 in y 1.600 * [taylor]: Taking taylor expansion of 1 in y 1.602 * [taylor]: Taking taylor expansion of 0 in y 1.606 * [taylor]: Taking taylor expansion of 0 in y 1.606 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2)))) in (x y) around 0 1.606 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2)))) in y 1.606 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2)))) 1.606 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.606 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.606 * [taylor]: Taking taylor expansion of x in y 1.606 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.606 * [taylor]: Taking taylor expansion of x in y 1.606 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2))) in y 1.606 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ 1 (pow y 2))) 1.606 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.606 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.606 * [taylor]: Taking taylor expansion of y in y 1.607 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.607 * [taylor]: Taking taylor expansion of y 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 1.607 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2)))) in x 1.608 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2)))) 1.608 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.608 * [taylor]: Taking taylor expansion of x in x 1.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.608 * [taylor]: Taking taylor expansion of x in x 1.608 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2))) in x 1.608 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ 1 (pow y 2))) 1.608 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.608 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.608 * [taylor]: Taking taylor expansion of y in x 1.608 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.608 * [taylor]: Taking taylor expansion of y in x 1.608 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.608 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.608 * [taylor]: Taking taylor expansion of y in x 1.609 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2)))) in x 1.609 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2)))) 1.609 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.609 * [taylor]: Taking taylor expansion of x in x 1.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.609 * [taylor]: Taking taylor expansion of x in x 1.609 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2))) in x 1.609 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ 1 (pow y 2))) 1.609 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.609 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.609 * [taylor]: Taking taylor expansion of y in x 1.609 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.609 * [taylor]: Taking taylor expansion of y in x 1.609 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.609 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.609 * [taylor]: Taking taylor expansion of y in x 1.610 * [taylor]: Taking taylor expansion of 1 in y 1.612 * [taylor]: Taking taylor expansion of 0 in y 1.613 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.614 * [taylor]: Taking taylor expansion of 2 in y 1.614 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.614 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.614 * [taylor]: Taking taylor expansion of y in y 1.617 * [taylor]: Taking taylor expansion of 0 in y 1.621 * [taylor]: Taking taylor expansion of 0 in y 1.623 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2)))) in (x y) around 0 1.623 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2)))) in y 1.623 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2)))) 1.623 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.623 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.623 * [taylor]: Taking taylor expansion of -1 in y 1.623 * [taylor]: Taking taylor expansion of x in y 1.623 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.623 * [taylor]: Taking taylor expansion of -1 in y 1.623 * [taylor]: Taking taylor expansion of x in y 1.623 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2))) in y 1.623 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (/ 1 (pow y 2))) 1.623 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.623 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.623 * [taylor]: Taking taylor expansion of -1 in y 1.623 * [taylor]: Taking taylor expansion of y in y 1.624 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.624 * [taylor]: Taking taylor expansion of -1 in y 1.624 * [taylor]: Taking taylor expansion of y in y 1.624 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.624 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.624 * [taylor]: Taking taylor expansion of y in y 1.624 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2)))) in x 1.624 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2)))) 1.625 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.625 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.625 * [taylor]: Taking taylor expansion of -1 in x 1.625 * [taylor]: Taking taylor expansion of x in x 1.625 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.625 * [taylor]: Taking taylor expansion of -1 in x 1.625 * [taylor]: Taking taylor expansion of x in x 1.625 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2))) in x 1.625 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (/ 1 (pow y 2))) 1.625 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.625 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.625 * [taylor]: Taking taylor expansion of -1 in x 1.625 * [taylor]: Taking taylor expansion of y in x 1.626 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.626 * [taylor]: Taking taylor expansion of -1 in x 1.626 * [taylor]: Taking taylor expansion of y in x 1.626 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 (fma (/ -1 x) (/ -1 x) (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2)))) in x 1.626 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2)))) 1.626 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.626 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.626 * [taylor]: Taking taylor expansion of -1 in x 1.626 * [taylor]: Taking taylor expansion of x in x 1.626 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.626 * [taylor]: Taking taylor expansion of -1 in x 1.626 * [taylor]: Taking taylor expansion of x in x 1.627 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2))) in x 1.627 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (/ 1 (pow y 2))) 1.627 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.627 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.627 * [taylor]: Taking taylor expansion of -1 in x 1.627 * [taylor]: Taking taylor expansion of y in x 1.627 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.627 * [taylor]: Taking taylor expansion of -1 in x 1.627 * [taylor]: Taking taylor expansion of y in x 1.627 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.627 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.627 * [taylor]: Taking taylor expansion of y in x 1.627 * [taylor]: Taking taylor expansion of 1 in y 1.629 * [taylor]: Taking taylor expansion of 0 in y 1.631 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.631 * [taylor]: Taking taylor expansion of 2 in y 1.631 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.631 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.631 * [taylor]: Taking taylor expansion of y in y 1.634 * [taylor]: Taking taylor expansion of 0 in y 1.638 * [taylor]: Taking taylor expansion of 0 in y 1.640 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 3) 1.640 * [approximate]: Taking taylor expansion of (fma y y (pow y 2)) in (y) around 0 1.640 * [taylor]: Taking taylor expansion of (fma y y (pow y 2)) in y 1.640 * [taylor]: Rewrote expression to (+ (* y y) (pow y 2)) 1.640 * [taylor]: Taking taylor expansion of (* y y) in y 1.640 * [taylor]: Taking taylor expansion of y in y 1.640 * [taylor]: Taking taylor expansion of y in y 1.640 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.640 * [taylor]: Taking taylor expansion of y in y 1.640 * [taylor]: Taking taylor expansion of (fma y y (pow y 2)) in y 1.640 * [taylor]: Rewrote expression to (+ (* y y) (pow y 2)) 1.640 * [taylor]: Taking taylor expansion of (* y y) in y 1.640 * [taylor]: Taking taylor expansion of y in y 1.640 * [taylor]: Taking taylor expansion of y in y 1.640 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.640 * [taylor]: Taking taylor expansion of y in y 1.652 * [approximate]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2))) in (y) around 0 1.652 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2))) in y 1.652 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ 1 (pow y 2))) 1.652 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.652 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.652 * [taylor]: Taking taylor expansion of y in y 1.652 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.652 * [taylor]: Taking taylor expansion of y in y 1.652 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.652 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.652 * [taylor]: Taking taylor expansion of y in y 1.653 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2))) in y 1.653 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ 1 (pow y 2))) 1.653 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.653 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.653 * [taylor]: Taking taylor expansion of y in y 1.653 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.653 * [taylor]: Taking taylor expansion of y in y 1.654 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 1.863 * [approximate]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2))) in (y) around 0 1.863 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2))) in y 1.863 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (/ 1 (pow y 2))) 1.863 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.863 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.863 * [taylor]: Taking taylor expansion of -1 in y 1.863 * [taylor]: Taking taylor expansion of y in y 1.864 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.864 * [taylor]: Taking taylor expansion of -1 in y 1.864 * [taylor]: Taking taylor expansion of y in y 1.864 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.864 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.864 * [taylor]: Taking taylor expansion of y in y 1.864 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2))) in y 1.865 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (/ 1 (pow y 2))) 1.865 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.865 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.865 * [taylor]: Taking taylor expansion of -1 in y 1.865 * [taylor]: Taking taylor expansion of y in y 1.865 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.865 * [taylor]: Taking taylor expansion of -1 in y 1.865 * [taylor]: Taking taylor expansion of y in y 1.865 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.865 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.865 * [taylor]: Taking taylor expansion of y in y 1.883 * * * [progress]: simplifying candidates 1.884 * [simplify]: Simplifying using # : (expm1 (+ (fma x x (fma y y (* y y))) (* y y))) (log1p (+ (fma x x (fma y y (* y y))) (* y y))) (* (exp (fma x x (fma y y (* y y)))) (exp (* y y))) (log (+ (fma x x (fma y y (* y y))) (* y y))) (exp (+ (fma x x (fma y y (* y y))) (* y y))) (* (cbrt (+ (fma x x (fma y y (* y y))) (* y y))) (cbrt (+ (fma x x (fma y y (* y y))) (* y y)))) (cbrt (+ (fma x x (fma y y (* y y))) (* y y))) (* (* (+ (fma x x (fma y y (* y y))) (* y y)) (+ (fma x x (fma y y (* y y))) (* y y))) (+ (fma x x (fma y y (* y y))) (* y y))) (sqrt (+ (fma x x (fma y y (* y y))) (* y y))) (sqrt (+ (fma x x (fma y y (* y y))) (* y y))) (+ (pow (fma x x (fma y y (* y y))) 3) (pow (* y y) 3)) (+ (* (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y)))) (- (* (* y y) (* y y)) (* (fma x x (fma y y (* y y))) (* y y)))) (- (* (fma x x (fma y y (* y y))) (fma x x (fma y y (* y y)))) (* (* y y) (* y y))) (- (fma x x (fma y y (* y y))) (* y y)) (+ (fma y y (* y y)) (* y y)) (expm1 (fma x x (fma y y (* y y)))) (log1p (fma x x (fma y y (* y y)))) (* x x) (log (fma x x (fma y y (* y y)))) (exp (fma x x (fma y y (* y y)))) (* (cbrt (fma x x (fma y y (* y y)))) (cbrt (fma x x (fma y y (* y y))))) (cbrt (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 (fma y y (* y y)))) (sqrt (fma x x (fma y y (* y y)))) (sqrt (fma x x (fma y y (* y y)))) (expm1 (fma y y (* y y))) (log1p (fma y y (* y y))) (* y y) (log (fma y y (* y y))) (exp (fma y y (* y y))) (* (cbrt (fma y y (* y y))) (cbrt (fma y y (* y y)))) (cbrt (fma y y (* y y))) (* (* (fma y y (* y y)) (fma y y (* y y))) (fma y y (* y y))) (sqrt (fma y y (* y y))) (sqrt (fma y y (* 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))) (* 2 (pow y 2)) (* 2 (pow y 2)) (* 2 (pow y 2)) 1.888 * * [simplify]: iteration 0 : 118 enodes (cost 229 ) 1.891 * * [simplify]: iteration 1 : 453 enodes (cost 199 ) 1.900 * * [simplify]: iteration 2 : 1897 enodes (cost 195 ) 1.940 * * [simplify]: iteration 3 : 5002 enodes (cost 191 ) 1.941 * [simplify]: Simplified to: (expm1 (+ (fma x x (fma y y (* y y))) (* y y))) (log1p (+ (fma x x (fma y y (* y y))) (* y y))) (exp (+ (fma x x (fma y y (* y y))) (* y y))) (log (+ (fma x x (fma y y (* y y))) (* y y))) (exp (+ (fma x x (fma y y (* y y))) (* y y))) (* (cbrt (+ (fma x x (fma y y (* y y))) (* y y))) (cbrt (+ (fma x x (fma y y (* y y))) (* y y)))) (cbrt (+ (fma x x (fma y y (* y y))) (* y y))) (pow (fma y y (fma x x (fma y y (* y y)))) 3) (sqrt (+ (fma x x (fma y y (* y y))) (* y y))) (sqrt (+ (fma x x (fma y y (* y y))) (* y y))) (fma y (pow y 5) (pow (fma x x (fma y y (* y y))) 3)) (fma (fma (pow y 2) 2 (pow x 2)) (- (fma x x (fma y y (* y y))) (* y y)) (pow y 4)) (* (- (fma x x (fma y y (* y y))) (* y y)) (fma y y (fma x x (fma y y (* y y))))) (fma y (- (* y 2) y) (pow x 2)) (* 3 (pow y 2)) (expm1 (fma x x (fma y y (* y y)))) (log1p (fma x x (fma y y (* y y)))) (pow x 2) (log (fma x x (fma y y (* y y)))) (exp (fma x x (fma y y (* y y)))) (* (cbrt (fma x x (fma y y (* y y)))) (cbrt (fma x x (fma y y (* y y))))) (cbrt (fma x x (fma y y (* y y)))) (pow (fma x x (fma y y (* y y))) 3) (sqrt (fma x x (fma y y (* y y)))) (sqrt (fma x x (fma y y (* y y)))) (expm1 (fma y y (* y y))) (log1p (fma y y (* y y))) (pow y 2) (log (fma y y (* y y))) (exp (fma y y (* y y))) (* (cbrt (fma y y (* y y))) (cbrt (fma y y (* y y)))) (cbrt (fma y y (* y y))) (* (pow y 6) 8) (hypot y y) (hypot 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 (pow y 2) 2 (pow x 2)) (fma (pow y 2) 2 (pow x 2)) (fma (pow y 2) 2 (pow x 2)) (fma y y (* y y)) (fma y y (* y y)) (fma y y (* y y)) 1.942 * * * [progress]: adding candidates to table 2.046 * [progress]: [Phase 3 of 3] Extracting. 2.046 * * [regime]: Finding splitpoints for: (# # # # # #) 2.048 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 2.048 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 2.071 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 2.084 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 2.107 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 2.121 * * * * [regimes]: Trying to branch on y from (# # # # # #) 2.145 * * * * [regimes]: Trying to branch on x from (# # # # # #) 2.168 * * * [regime]: Found split indices: #