16.030 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.061 * * * [progress]: [2/2] Setting up program. 0.064 * [progress]: [Phase 2 of 3] Improving. 0.064 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.067 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.069 * * [simplify]: iteration 1 : 29 enodes (cost 4 ) 0.071 * * [simplify]: iteration 2 : 50 enodes (cost 4 ) 0.072 * * [simplify]: iteration 3 : 70 enodes (cost 3 ) 0.074 * * [simplify]: iteration 4 : 82 enodes (cost 3 ) 0.076 * * [simplify]: iteration 5 : 125 enodes (cost 3 ) 0.078 * * [simplify]: iteration 6 : 229 enodes (cost 3 ) 0.080 * * [simplify]: iteration 7 : 321 enodes (cost 3 ) 0.083 * * [simplify]: iteration 8 : 336 enodes (cost 3 ) 0.086 * * [simplify]: iteration 9 : 436 enodes (cost 3 ) 0.091 * * [simplify]: iteration 10 : 790 enodes (cost 3 ) 0.117 * * [simplify]: iteration 11 : 3492 enodes (cost 3 ) 0.338 * * [simplify]: iteration 12 : 5001 enodes (cost 3 ) 0.340 * [simplify]: Simplified to: (fma 3 (* y y) (* x x)) 0.342 * * [progress]: iteration 1 / 4 0.342 * * * [progress]: picking best candidate 0.345 * * * * [pick]: Picked # 0.345 * * * [progress]: localizing error 0.350 * * * [progress]: generating rewritten candidates 0.350 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.351 * * * [progress]: generating series expansions 0.351 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.351 * [approximate]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in (y x) around 0 0.351 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in x 0.351 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.351 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.351 * [taylor]: Taking taylor expansion of 3 in x 0.351 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.351 * [taylor]: Taking taylor expansion of y in x 0.351 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.351 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.351 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.351 * [taylor]: Taking taylor expansion of 3 in y 0.351 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.351 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.351 * [taylor]: Taking taylor expansion of x in y 0.351 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.351 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.351 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.351 * [taylor]: Taking taylor expansion of 3 in y 0.351 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.351 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.352 * [taylor]: Taking taylor expansion of x in y 0.352 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of 0 in x 0.353 * [taylor]: Taking taylor expansion of 3 in x 0.355 * [taylor]: Taking taylor expansion of 0 in x 0.357 * [taylor]: Taking taylor expansion of 0 in x 0.358 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.358 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.358 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.358 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.358 * [taylor]: Taking taylor expansion of 3 in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.358 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.358 * [taylor]: Taking taylor expansion of y in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.359 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.359 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.359 * [taylor]: Taking taylor expansion of 3 in y 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.359 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.359 * [taylor]: Taking taylor expansion of y in y 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.359 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.359 * [taylor]: Taking taylor expansion of x in y 0.359 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.359 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.359 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.359 * [taylor]: Taking taylor expansion of 3 in y 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.359 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.359 * [taylor]: Taking taylor expansion of y in y 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.360 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.360 * [taylor]: Taking taylor expansion of x in y 0.361 * [taylor]: Taking taylor expansion of 3 in x 0.362 * [taylor]: Taking taylor expansion of 0 in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.364 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of 0 in x 0.373 * [taylor]: Taking taylor expansion of 0 in x 0.374 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.374 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.374 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.374 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.374 * [taylor]: Taking taylor expansion of 3 in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.375 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.375 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.375 * [taylor]: Taking taylor expansion of 3 in y 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.375 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.375 * [taylor]: Taking taylor expansion of y in y 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.376 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.376 * [taylor]: Taking taylor expansion of x in y 0.376 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.376 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.376 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.376 * [taylor]: Taking taylor expansion of 3 in y 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.376 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.376 * [taylor]: Taking taylor expansion of y in y 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.376 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.376 * [taylor]: Taking taylor expansion of x in y 0.377 * [taylor]: Taking taylor expansion of 3 in x 0.378 * [taylor]: Taking taylor expansion of 0 in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.380 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of 0 in x 0.386 * [taylor]: Taking taylor expansion of 0 in x 0.387 * * * [progress]: simplifying candidates 0.387 * [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))) 0.390 * * [simplify]: iteration 0 : 33 enodes (cost 59 ) 0.392 * * [simplify]: iteration 1 : 84 enodes (cost 52 ) 0.394 * * [simplify]: iteration 2 : 267 enodes (cost 52 ) 0.399 * * [simplify]: iteration 3 : 1089 enodes (cost 52 ) 0.438 * * [simplify]: iteration 4 : 5002 enodes (cost 52 ) 0.439 * [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)) 0.439 * * * [progress]: adding candidates to table 0.463 * * [progress]: iteration 2 / 4 0.463 * * * [progress]: picking best candidate 0.470 * * * * [pick]: Picked # 0.470 * * * [progress]: localizing error 0.476 * * * [progress]: generating rewritten candidates 0.476 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.538 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.554 * * * [progress]: generating series expansions 0.554 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.554 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.554 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.554 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.554 * [taylor]: Taking taylor expansion of x in y 0.554 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.554 * [taylor]: Taking taylor expansion of 3 in y 0.554 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.554 * [taylor]: Taking taylor expansion of y in y 0.554 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.554 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.554 * [taylor]: Taking taylor expansion of 3 in x 0.554 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.554 * [taylor]: Taking taylor expansion of y in x 0.554 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.554 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.555 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.555 * [taylor]: Taking taylor expansion of 3 in x 0.555 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.555 * [taylor]: Taking taylor expansion of y in x 0.555 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.555 * [taylor]: Taking taylor expansion of 3 in y 0.555 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.555 * [taylor]: Taking taylor expansion of y in y 0.556 * [taylor]: Taking taylor expansion of 0 in y 0.557 * [taylor]: Taking taylor expansion of 1 in y 0.560 * [taylor]: Taking taylor expansion of 0 in y 0.563 * [taylor]: Taking taylor expansion of 0 in y 0.563 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.564 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.564 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.564 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.564 * [taylor]: Taking taylor expansion of x in y 0.564 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.564 * [taylor]: Taking taylor expansion of 3 in y 0.564 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.564 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.564 * [taylor]: Taking taylor expansion of y in y 0.564 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.564 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.564 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.565 * [taylor]: Taking taylor expansion of 3 in x 0.565 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.565 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.565 * [taylor]: Taking taylor expansion of y in x 0.565 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.565 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.565 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.566 * [taylor]: Taking taylor expansion of 3 in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.566 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.566 * [taylor]: Taking taylor expansion of y in x 0.566 * [taylor]: Taking taylor expansion of 1 in y 0.567 * [taylor]: Taking taylor expansion of 0 in y 0.568 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.568 * [taylor]: Taking taylor expansion of 3 in y 0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.568 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.568 * [taylor]: Taking taylor expansion of y in y 0.571 * [taylor]: Taking taylor expansion of 0 in y 0.574 * [taylor]: Taking taylor expansion of 0 in y 0.579 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.580 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.580 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.580 * [taylor]: Taking taylor expansion of x in y 0.580 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.580 * [taylor]: Taking taylor expansion of 3 in y 0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.580 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.580 * [taylor]: Taking taylor expansion of y in y 0.580 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 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 (* 3 (/ 1 (pow y 2))) in x 0.581 * [taylor]: Taking taylor expansion of 3 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)) (* 3 (/ 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 0.582 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.582 * [taylor]: Taking taylor expansion of 3 in x 0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.582 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.582 * [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 0.584 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.584 * [taylor]: Taking taylor expansion of 3 in y 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.584 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.584 * [taylor]: Taking taylor expansion of y in y 0.587 * [taylor]: Taking taylor expansion of 0 in y 0.591 * [taylor]: Taking taylor expansion of 0 in y 0.592 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.593 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.593 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.593 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.593 * [taylor]: Taking taylor expansion of x in y 0.593 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.593 * [taylor]: Taking taylor expansion of 2 in y 0.593 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.593 * [taylor]: Taking taylor expansion of y in y 0.593 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.593 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.593 * [taylor]: Taking taylor expansion of 2 in x 0.593 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.593 * [taylor]: Taking taylor expansion of y in x 0.593 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.593 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.593 * [taylor]: Taking taylor expansion of 2 in x 0.593 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.593 * [taylor]: Taking taylor expansion of y in x 0.593 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.593 * [taylor]: Taking taylor expansion of 2 in y 0.593 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.593 * [taylor]: Taking taylor expansion of y in y 0.594 * [taylor]: Taking taylor expansion of 0 in y 0.595 * [taylor]: Taking taylor expansion of 1 in y 0.598 * [taylor]: Taking taylor expansion of 0 in y 0.601 * [taylor]: Taking taylor expansion of 0 in y 0.601 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.602 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.602 * [taylor]: Taking taylor expansion of x in y 0.602 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.602 * [taylor]: Taking taylor expansion of 2 in y 0.602 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.602 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.602 * [taylor]: Taking taylor expansion of y in y 0.602 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.602 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.603 * [taylor]: Taking taylor expansion of 2 in x 0.603 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.603 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.603 * [taylor]: Taking taylor expansion of y in x 0.603 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.603 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.603 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.604 * [taylor]: Taking taylor expansion of 2 in x 0.604 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.604 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.604 * [taylor]: Taking taylor expansion of y in x 0.604 * [taylor]: Taking taylor expansion of 1 in y 0.605 * [taylor]: Taking taylor expansion of 0 in y 0.606 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.606 * [taylor]: Taking taylor expansion of 2 in y 0.606 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.606 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.606 * [taylor]: Taking taylor expansion of y in y 0.610 * [taylor]: Taking taylor expansion of 0 in y 0.614 * [taylor]: Taking taylor expansion of 0 in y 0.616 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.616 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.616 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.616 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.616 * [taylor]: Taking taylor expansion of x in y 0.616 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.616 * [taylor]: Taking taylor expansion of 2 in y 0.616 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.616 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.616 * [taylor]: Taking taylor expansion of y in y 0.617 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.617 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.617 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.617 * [taylor]: Taking taylor expansion of 2 in x 0.617 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.617 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.617 * [taylor]: Taking taylor expansion of y in x 0.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.618 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.618 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.618 * [taylor]: Taking taylor expansion of 2 in x 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.618 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.618 * [taylor]: Taking taylor expansion of y in x 0.619 * [taylor]: Taking taylor expansion of 1 in y 0.620 * [taylor]: Taking taylor expansion of 0 in y 0.621 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.621 * [taylor]: Taking taylor expansion of 2 in y 0.621 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.621 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.621 * [taylor]: Taking taylor expansion of y in y 0.624 * [taylor]: Taking taylor expansion of 0 in y 0.628 * [taylor]: Taking taylor expansion of 0 in y 0.630 * * * [progress]: simplifying candidates 0.630 * [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)) (+ (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))) 0.635 * * [simplify]: iteration 0 : 178 enodes (cost 305 ) 0.640 * * [simplify]: iteration 1 : 842 enodes (cost 249 ) 0.659 * * [simplify]: iteration 2 : 4026 enodes (cost 226 ) 0.743 * * [simplify]: iteration 3 : 5001 enodes (cost 221 ) 0.745 * [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)) (fma (fma x x (* y y)) (fma x x (fma y y (* y y))) (pow y 4)) (fma (fma (pow y 2) 3 (pow x 2)) (fma x x (* y y)) 0) (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 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)) (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))) 0.745 * * * [progress]: adding candidates to table 0.842 * * [progress]: iteration 3 / 4 0.842 * * * [progress]: picking best candidate 0.853 * * * * [pick]: Picked # 0.853 * * * [progress]: localizing error 0.862 * * * [progress]: generating rewritten candidates 0.862 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.878 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.897 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.898 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.913 * * * [progress]: generating series expansions 0.913 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.914 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.914 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.914 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.914 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.914 * [taylor]: Taking taylor expansion of x in y 0.914 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.914 * [taylor]: Taking taylor expansion of 2 in y 0.914 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.914 * [taylor]: Taking taylor expansion of y in y 0.915 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.915 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.915 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.915 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.915 * [taylor]: Taking taylor expansion of 2 in x 0.915 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.915 * [taylor]: Taking taylor expansion of y in x 0.916 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.916 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.916 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.916 * [taylor]: Taking taylor expansion of 2 in x 0.916 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.916 * [taylor]: Taking taylor expansion of y in x 0.917 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.917 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.917 * [taylor]: Taking taylor expansion of 2 in y 0.918 * [taylor]: Taking taylor expansion of y in y 0.918 * [taylor]: Taking taylor expansion of 0 in y 0.922 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.922 * [taylor]: Taking taylor expansion of 1/2 in y 0.922 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.922 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.922 * [taylor]: Taking taylor expansion of 2 in y 0.922 * [taylor]: Taking taylor expansion of y in y 0.930 * [taylor]: Taking taylor expansion of 0 in y 0.932 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.932 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.932 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.932 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.932 * [taylor]: Taking taylor expansion of x in y 0.932 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.932 * [taylor]: Taking taylor expansion of 2 in y 0.932 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.932 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.932 * [taylor]: Taking taylor expansion of y in y 0.935 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.935 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.935 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.935 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.936 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.936 * [taylor]: Taking taylor expansion of 2 in x 0.936 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.936 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.936 * [taylor]: Taking taylor expansion of y in x 0.938 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.938 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.938 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.938 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.938 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.938 * [taylor]: Taking taylor expansion of 2 in x 0.938 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.939 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.939 * [taylor]: Taking taylor expansion of y in x 0.940 * [taylor]: Taking taylor expansion of 1 in y 0.941 * [taylor]: Taking taylor expansion of 0 in y 0.943 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.943 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.943 * [taylor]: Taking taylor expansion of y in y 0.946 * [taylor]: Taking taylor expansion of 0 in y 0.948 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.948 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.948 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.948 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.948 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.948 * [taylor]: Taking taylor expansion of x in y 0.948 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.948 * [taylor]: Taking taylor expansion of 2 in y 0.948 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.948 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.948 * [taylor]: Taking taylor expansion of y in y 0.951 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.951 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.951 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.951 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.951 * [taylor]: Taking taylor expansion of x in x 0.951 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.951 * [taylor]: Taking taylor expansion of 2 in x 0.951 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.951 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.951 * [taylor]: Taking taylor expansion of y in x 0.953 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.953 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.953 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.953 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.953 * [taylor]: Taking taylor expansion of x in x 0.954 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.954 * [taylor]: Taking taylor expansion of 2 in x 0.954 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.954 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.954 * [taylor]: Taking taylor expansion of y in x 0.956 * [taylor]: Taking taylor expansion of 1 in y 0.956 * [taylor]: Taking taylor expansion of 0 in y 0.958 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.958 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.958 * [taylor]: Taking taylor expansion of y in y 0.961 * [taylor]: Taking taylor expansion of 0 in y 0.962 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.963 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 0.963 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 0.963 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.963 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.963 * [taylor]: Taking taylor expansion of x in y 0.963 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.963 * [taylor]: Taking taylor expansion of 2 in y 0.963 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.963 * [taylor]: Taking taylor expansion of y in y 0.963 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.963 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.963 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.963 * [taylor]: Taking taylor expansion of 2 in x 0.963 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.963 * [taylor]: Taking taylor expansion of y in x 0.964 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 0.964 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.964 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.965 * [taylor]: Taking taylor expansion of 2 in x 0.965 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.965 * [taylor]: Taking taylor expansion of y in x 0.966 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.966 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.966 * [taylor]: Taking taylor expansion of 2 in y 0.966 * [taylor]: Taking taylor expansion of y in y 0.967 * [taylor]: Taking taylor expansion of 0 in y 0.970 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 0.970 * [taylor]: Taking taylor expansion of 1/2 in y 0.970 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 0.970 * [taylor]: Taking taylor expansion of (sqrt 2) in y 0.970 * [taylor]: Taking taylor expansion of 2 in y 0.971 * [taylor]: Taking taylor expansion of y in y 0.982 * [taylor]: Taking taylor expansion of 0 in y 0.985 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 0.985 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 0.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.985 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.985 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.985 * [taylor]: Taking taylor expansion of x in y 0.985 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.985 * [taylor]: Taking taylor expansion of 2 in y 0.985 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.985 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.985 * [taylor]: Taking taylor expansion of y in y 0.988 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.988 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.988 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.988 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.988 * [taylor]: Taking taylor expansion of x in x 0.988 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.988 * [taylor]: Taking taylor expansion of 2 in x 0.988 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.988 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.988 * [taylor]: Taking taylor expansion of y in x 0.990 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 0.990 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.990 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.990 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.990 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.991 * [taylor]: Taking taylor expansion of 2 in x 0.991 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.991 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.991 * [taylor]: Taking taylor expansion of y in x 0.993 * [taylor]: Taking taylor expansion of 1 in y 0.993 * [taylor]: Taking taylor expansion of 0 in y 0.995 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.995 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.995 * [taylor]: Taking taylor expansion of y in y 0.998 * [taylor]: Taking taylor expansion of 0 in y 1.000 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.000 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.000 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.000 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.000 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.000 * [taylor]: Taking taylor expansion of x in y 1.000 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.000 * [taylor]: Taking taylor expansion of 2 in y 1.000 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.000 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.000 * [taylor]: Taking taylor expansion of y in y 1.003 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.003 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.003 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.003 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.003 * [taylor]: Taking taylor expansion of x in x 1.003 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.003 * [taylor]: Taking taylor expansion of 2 in x 1.003 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.003 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.003 * [taylor]: Taking taylor expansion of y in x 1.006 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.006 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.006 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.006 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.006 * [taylor]: Taking taylor expansion of x in x 1.006 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.007 * [taylor]: Taking taylor expansion of 2 in x 1.007 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.007 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.007 * [taylor]: Taking taylor expansion of y in x 1.008 * [taylor]: Taking taylor expansion of 1 in y 1.009 * [taylor]: Taking taylor expansion of 0 in y 1.010 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.010 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.010 * [taylor]: Taking taylor expansion of y in y 1.014 * [taylor]: Taking taylor expansion of 0 in y 1.015 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.015 * [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 1.015 * [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 1.015 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 1.015 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in y 1.015 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.015 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.015 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.015 * [taylor]: Taking taylor expansion of x in y 1.016 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.016 * [taylor]: Taking taylor expansion of 2 in y 1.016 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.016 * [taylor]: Taking taylor expansion of y in y 1.016 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.016 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.016 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.016 * [taylor]: Taking taylor expansion of x in y 1.016 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.016 * [taylor]: Taking taylor expansion of 2 in y 1.016 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.016 * [taylor]: Taking taylor expansion of y in y 1.017 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.017 * [taylor]: Taking taylor expansion of y in y 1.017 * [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 1.017 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 1.017 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 1.017 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.017 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.017 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.017 * [taylor]: Taking taylor expansion of 2 in x 1.017 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.017 * [taylor]: Taking taylor expansion of y in x 1.018 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.018 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 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 (pow y 2)) in x 1.018 * [taylor]: Taking taylor expansion of 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 1.019 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.019 * [taylor]: Taking taylor expansion of y in x 1.019 * [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 1.019 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 1.019 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 1.019 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.019 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.019 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.019 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.019 * [taylor]: Taking taylor expansion of 2 in x 1.019 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.019 * [taylor]: Taking taylor expansion of y in x 1.020 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.020 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.020 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.020 * [taylor]: Taking taylor expansion of x in x 1.021 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.021 * [taylor]: Taking taylor expansion of 2 in x 1.021 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.021 * [taylor]: Taking taylor expansion of y in x 1.022 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.022 * [taylor]: Taking taylor expansion of y in x 1.023 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2))) in y 1.023 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.023 * [taylor]: Taking taylor expansion of y in y 1.023 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2) 2) (pow y 2)) in y 1.023 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 1.023 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.023 * [taylor]: Taking taylor expansion of 2 in y 1.024 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.024 * [taylor]: Taking taylor expansion of y in y 1.024 * [taylor]: Taking taylor expansion of 0 in y 1.030 * [taylor]: Taking taylor expansion of 1 in y 1.040 * [taylor]: Taking taylor expansion of 0 in y 1.053 * [taylor]: Taking taylor expansion of 0 in y 1.055 * [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 1.055 * [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 1.055 * [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))) 1.055 * [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 1.055 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.055 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.055 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.055 * [taylor]: Taking taylor expansion of x in y 1.055 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.055 * [taylor]: Taking taylor expansion of 2 in y 1.055 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.055 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.055 * [taylor]: Taking taylor expansion of y in y 1.063 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.063 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.063 * [taylor]: Taking taylor expansion of x in y 1.063 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.063 * [taylor]: Taking taylor expansion of 2 in y 1.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.063 * [taylor]: Taking taylor expansion of y in y 1.066 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.066 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.066 * [taylor]: Taking taylor expansion of y in y 1.067 * [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 1.067 * [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))) 1.067 * [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 1.067 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.067 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.067 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.067 * [taylor]: Taking taylor expansion of x in x 1.067 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.067 * [taylor]: Taking taylor expansion of 2 in x 1.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.067 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.067 * [taylor]: Taking taylor expansion of y in x 1.069 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.069 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.069 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.069 * [taylor]: Taking taylor expansion of x in x 1.070 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.070 * [taylor]: Taking taylor expansion of 2 in x 1.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.070 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.070 * [taylor]: Taking taylor expansion of y in x 1.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.072 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.072 * [taylor]: Taking taylor expansion of y in x 1.072 * [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 1.072 * [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))) 1.072 * [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 1.072 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.073 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.073 * [taylor]: Taking taylor expansion of 2 in x 1.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.073 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.073 * [taylor]: Taking taylor expansion of y in x 1.075 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.075 * [taylor]: Taking taylor expansion of x in x 1.075 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.075 * [taylor]: Taking taylor expansion of 2 in x 1.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.075 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.075 * [taylor]: Taking taylor expansion of y in x 1.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.077 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.077 * [taylor]: Taking taylor expansion of y in x 1.078 * [taylor]: Taking taylor expansion of 1 in y 1.079 * [taylor]: Taking taylor expansion of 0 in y 1.083 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.083 * [taylor]: Taking taylor expansion of 3 in y 1.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.083 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.083 * [taylor]: Taking taylor expansion of y in y 1.089 * [taylor]: Taking taylor expansion of 0 in y 1.099 * [taylor]: Taking taylor expansion of 0 in y 1.101 * [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 1.101 * [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 1.101 * [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))) 1.101 * [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 1.101 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.101 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.101 * [taylor]: Taking taylor expansion of x in y 1.101 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.101 * [taylor]: Taking taylor expansion of 2 in y 1.101 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.101 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.101 * [taylor]: Taking taylor expansion of y in y 1.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.104 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.104 * [taylor]: Taking taylor expansion of x in y 1.104 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.104 * [taylor]: Taking taylor expansion of 2 in y 1.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.104 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.104 * [taylor]: Taking taylor expansion of y in y 1.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.107 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.107 * [taylor]: Taking taylor expansion of y in y 1.108 * [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 1.108 * [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))) 1.108 * [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 1.108 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.108 * [taylor]: Taking taylor expansion of x in x 1.109 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.109 * [taylor]: Taking taylor expansion of 2 in x 1.109 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.109 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.109 * [taylor]: Taking taylor expansion of y in x 1.111 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.111 * [taylor]: Taking taylor expansion of x in x 1.111 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.111 * [taylor]: Taking taylor expansion of 2 in x 1.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.111 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.111 * [taylor]: Taking taylor expansion of y in x 1.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.113 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.113 * [taylor]: Taking taylor expansion of y in x 1.113 * [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 1.113 * [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))) 1.113 * [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 1.113 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.113 * [taylor]: Taking taylor expansion of x in x 1.114 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.114 * [taylor]: Taking taylor expansion of 2 in x 1.114 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.114 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.114 * [taylor]: Taking taylor expansion of y in x 1.116 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.117 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.117 * [taylor]: Taking taylor expansion of 2 in x 1.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.117 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.117 * [taylor]: Taking taylor expansion of y in x 1.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.119 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.119 * [taylor]: Taking taylor expansion of y in x 1.119 * [taylor]: Taking taylor expansion of 1 in y 1.120 * [taylor]: Taking taylor expansion of 0 in y 1.124 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.124 * [taylor]: Taking taylor expansion of 3 in y 1.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.124 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.124 * [taylor]: Taking taylor expansion of y in y 1.131 * [taylor]: Taking taylor expansion of 0 in y 1.140 * [taylor]: Taking taylor expansion of 0 in y 1.141 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.142 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 1.142 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.142 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.142 * [taylor]: Taking taylor expansion of x in y 1.142 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.142 * [taylor]: Taking taylor expansion of 2 in y 1.142 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.142 * [taylor]: Taking taylor expansion of y in y 1.142 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.142 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.142 * [taylor]: Taking taylor expansion of x in x 1.142 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.142 * [taylor]: Taking taylor expansion of 2 in x 1.142 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.142 * [taylor]: Taking taylor expansion of y in x 1.142 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.142 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.142 * [taylor]: Taking taylor expansion of x in x 1.142 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.142 * [taylor]: Taking taylor expansion of 2 in x 1.142 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.142 * [taylor]: Taking taylor expansion of y in x 1.142 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.142 * [taylor]: Taking taylor expansion of 2 in y 1.142 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.142 * [taylor]: Taking taylor expansion of y in y 1.143 * [taylor]: Taking taylor expansion of 0 in y 1.149 * [taylor]: Taking taylor expansion of 1 in y 1.152 * [taylor]: Taking taylor expansion of 0 in y 1.155 * [taylor]: Taking taylor expansion of 0 in y 1.155 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.155 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.155 * [taylor]: Taking taylor expansion of x in y 1.155 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.156 * [taylor]: Taking taylor expansion of 2 in y 1.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.156 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.156 * [taylor]: Taking taylor expansion of y in y 1.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.156 * [taylor]: Taking taylor expansion of x in x 1.157 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.157 * [taylor]: Taking taylor expansion of 2 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 1.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.157 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.157 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.157 * [taylor]: Taking taylor expansion of x in x 1.157 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.157 * [taylor]: Taking taylor expansion of 2 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 1.160 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.160 * [taylor]: Taking taylor expansion of 2 in y 1.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.160 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.160 * [taylor]: Taking taylor expansion of y in y 1.163 * [taylor]: Taking taylor expansion of 0 in y 1.166 * [taylor]: Taking taylor expansion of 0 in y 1.168 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.168 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.168 * [taylor]: Taking taylor expansion of x in y 1.168 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.168 * [taylor]: Taking taylor expansion of 2 in y 1.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.168 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.168 * [taylor]: Taking taylor expansion of y in y 1.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.169 * [taylor]: Taking taylor expansion of x in x 1.169 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.169 * [taylor]: Taking taylor expansion of 2 in x 1.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.169 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.169 * [taylor]: Taking taylor expansion of y in x 1.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.170 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.170 * [taylor]: Taking taylor expansion of x in x 1.170 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.170 * [taylor]: Taking taylor expansion of 2 in x 1.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.170 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.170 * [taylor]: Taking taylor expansion of y in x 1.171 * [taylor]: Taking taylor expansion of 1 in y 1.172 * [taylor]: Taking taylor expansion of 0 in y 1.173 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.173 * [taylor]: Taking taylor expansion of 2 in y 1.173 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.173 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.173 * [taylor]: Taking taylor expansion of y in y 1.175 * [taylor]: Taking taylor expansion of 0 in y 1.179 * [taylor]: Taking taylor expansion of 0 in y 1.181 * * * [progress]: simplifying candidates 1.181 * [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))) 1.186 * * [simplify]: iteration 0 : 175 enodes (cost 645 ) 1.190 * * [simplify]: iteration 1 : 742 enodes (cost 534 ) 1.203 * * [simplify]: iteration 2 : 3044 enodes (cost 495 ) 1.265 * * [simplify]: iteration 3 : 5001 enodes (cost 493 ) 1.267 * [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))) 1.268 * * * [progress]: adding candidates to table 1.476 * * [progress]: iteration 4 / 4 1.476 * * * [progress]: picking best candidate 1.490 * * * * [pick]: Picked # 1.490 * * * [progress]: localizing error 1.496 * * * [progress]: generating rewritten candidates 1.497 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.499 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 3) 1.500 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 1.500 * * * [progress]: generating series expansions 1.500 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.501 * [approximate]: Taking taylor expansion of (+ (pow y 2) (fma x x (fma y y (pow y 2)))) in (x y) around 0 1.501 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x x (fma y y (pow y 2)))) in y 1.501 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.501 * [taylor]: Taking taylor expansion of y in y 1.501 * [taylor]: Taking taylor expansion of (fma x x (fma y y (pow y 2))) in y 1.501 * [taylor]: Rewrote expression to (+ (* x x) (fma y y (pow y 2))) 1.501 * [taylor]: Taking taylor expansion of (* x x) in y 1.501 * [taylor]: Taking taylor expansion of x in y 1.501 * [taylor]: Taking taylor expansion of x in y 1.501 * [taylor]: Taking taylor expansion of (fma y y (pow y 2)) in y 1.501 * [taylor]: Rewrote expression to (+ (* y y) (pow y 2)) 1.501 * [taylor]: Taking taylor expansion of (* y y) in y 1.501 * [taylor]: Taking taylor expansion of y in y 1.501 * [taylor]: Taking taylor expansion of y in y 1.501 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.501 * [taylor]: Taking taylor expansion of y in y 1.501 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x x (fma y y (pow y 2)))) in x 1.501 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.501 * [taylor]: Taking taylor expansion of y in x 1.501 * [taylor]: Taking taylor expansion of (fma x x (fma y y (pow y 2))) in x 1.501 * [taylor]: Rewrote expression to (+ (* x x) (fma y y (pow y 2))) 1.501 * [taylor]: Taking taylor expansion of (* x x) in x 1.501 * [taylor]: Taking taylor expansion of x in x 1.501 * [taylor]: Taking taylor expansion of x in x 1.501 * [taylor]: Taking taylor expansion of (fma y y (pow y 2)) in x 1.501 * [taylor]: Rewrote expression to (+ (* y y) (pow y 2)) 1.501 * [taylor]: Taking taylor expansion of (* y y) in x 1.501 * [taylor]: Taking taylor expansion of y in x 1.501 * [taylor]: Taking taylor expansion of y in x 1.502 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.502 * [taylor]: Taking taylor expansion of y in x 1.502 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x x (fma y y (pow y 2)))) in x 1.502 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.502 * [taylor]: Taking taylor expansion of y in x 1.502 * [taylor]: Taking taylor expansion of (fma x x (fma y y (pow y 2))) in x 1.502 * [taylor]: Rewrote expression to (+ (* x x) (fma y y (pow y 2))) 1.502 * [taylor]: Taking taylor expansion of (* x x) in x 1.502 * [taylor]: Taking taylor expansion of x in x 1.502 * [taylor]: Taking taylor expansion of x in x 1.502 * [taylor]: Taking taylor expansion of (fma y y (pow y 2)) in x 1.502 * [taylor]: Rewrote expression to (+ (* y y) (pow y 2)) 1.502 * [taylor]: Taking taylor expansion of (* y y) in x 1.502 * [taylor]: Taking taylor expansion of y in x 1.502 * [taylor]: Taking taylor expansion of y in x 1.502 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.502 * [taylor]: Taking taylor expansion of y in x 1.503 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.503 * [taylor]: Taking taylor expansion of 3 in y 1.503 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.503 * [taylor]: Taking taylor expansion of y in y 1.504 * [taylor]: Taking taylor expansion of 0 in y 1.506 * [taylor]: Taking taylor expansion of 1 in y 1.509 * [taylor]: Taking taylor expansion of 0 in y 1.516 * [taylor]: Taking taylor expansion of 0 in y 1.517 * [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 1.517 * [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 1.517 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.517 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.517 * [taylor]: Taking taylor expansion of y in y 1.518 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2)))) in y 1.518 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2)))) 1.518 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.518 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.518 * [taylor]: Taking taylor expansion of x in y 1.518 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.518 * [taylor]: Taking taylor expansion of x in y 1.518 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2))) in y 1.518 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ 1 (pow y 2))) 1.518 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.518 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.518 * [taylor]: Taking taylor expansion of y in y 1.518 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.518 * [taylor]: Taking taylor expansion of y in y 1.519 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.519 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.519 * [taylor]: Taking taylor expansion of y in y 1.519 * [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 1.519 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.519 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.519 * [taylor]: Taking taylor expansion of y in x 1.519 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2)))) in x 1.519 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2)))) 1.519 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.519 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.519 * [taylor]: Taking taylor expansion of x in x 1.520 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.520 * [taylor]: Taking taylor expansion of x in x 1.520 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2))) in x 1.520 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ 1 (pow y 2))) 1.520 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.520 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.520 * [taylor]: Taking taylor expansion of y in x 1.520 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.520 * [taylor]: Taking taylor expansion of y in x 1.520 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.520 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.520 * [taylor]: Taking taylor expansion of y in x 1.520 * [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 1.520 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.520 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.520 * [taylor]: Taking taylor expansion of y in x 1.520 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2)))) in x 1.521 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2)))) 1.521 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.521 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.521 * [taylor]: Taking taylor expansion of x in x 1.521 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.521 * [taylor]: Taking taylor expansion of x in x 1.521 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2))) in x 1.521 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ 1 (pow y 2))) 1.521 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.521 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.521 * [taylor]: Taking taylor expansion of y in x 1.521 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.521 * [taylor]: Taking taylor expansion of y in x 1.521 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.521 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.521 * [taylor]: Taking taylor expansion of y in x 1.522 * [taylor]: Taking taylor expansion of 1 in y 1.524 * [taylor]: Taking taylor expansion of 0 in y 1.526 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.526 * [taylor]: Taking taylor expansion of 3 in y 1.526 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.526 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.526 * [taylor]: Taking taylor expansion of y in y 1.529 * [taylor]: Taking taylor expansion of 0 in y 1.534 * [taylor]: Taking taylor expansion of 0 in y 1.536 * [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 1.536 * [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 1.536 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2)))) in y 1.536 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2)))) 1.536 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.536 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.536 * [taylor]: Taking taylor expansion of -1 in y 1.536 * [taylor]: Taking taylor expansion of x in y 1.536 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.536 * [taylor]: Taking taylor expansion of -1 in y 1.536 * [taylor]: Taking taylor expansion of x in y 1.536 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2))) in y 1.536 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (/ 1 (pow y 2))) 1.536 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.536 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.536 * [taylor]: Taking taylor expansion of -1 in y 1.536 * [taylor]: Taking taylor expansion of y in y 1.537 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.537 * [taylor]: Taking taylor expansion of -1 in y 1.537 * [taylor]: Taking taylor expansion of y in y 1.537 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.537 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.537 * [taylor]: Taking taylor expansion of y in y 1.538 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.538 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.538 * [taylor]: Taking taylor expansion of y in y 1.538 * [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 1.538 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2)))) in x 1.538 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2)))) 1.538 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.538 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.538 * [taylor]: Taking taylor expansion of -1 in x 1.538 * [taylor]: Taking taylor expansion of x in x 1.539 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.539 * [taylor]: Taking taylor expansion of -1 in x 1.539 * [taylor]: Taking taylor expansion of x in x 1.539 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2))) in x 1.539 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (/ 1 (pow y 2))) 1.539 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.539 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.539 * [taylor]: Taking taylor expansion of -1 in x 1.539 * [taylor]: Taking taylor expansion of y in x 1.539 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.539 * [taylor]: Taking taylor expansion of -1 in x 1.539 * [taylor]: Taking taylor expansion of y in x 1.539 * [taylor]: Taking taylor expansion of (/ 1 (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 (/ 1 (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 (/ -1 x) (/ -1 x) (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2)))) (/ 1 (pow y 2))) in x 1.540 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2)))) in x 1.540 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2)))) 1.540 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.540 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.540 * [taylor]: Taking taylor expansion of -1 in x 1.540 * [taylor]: Taking taylor expansion of x in x 1.540 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.540 * [taylor]: Taking taylor expansion of -1 in x 1.540 * [taylor]: Taking taylor expansion of x in x 1.540 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2))) in x 1.540 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (/ 1 (pow y 2))) 1.540 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.540 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.540 * [taylor]: Taking taylor expansion of -1 in x 1.540 * [taylor]: Taking taylor expansion of y in x 1.541 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.541 * [taylor]: Taking taylor expansion of -1 in x 1.541 * [taylor]: Taking taylor expansion of y in x 1.541 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.541 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.541 * [taylor]: Taking taylor expansion of y in x 1.541 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.541 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.541 * [taylor]: Taking taylor expansion of y in x 1.542 * [taylor]: Taking taylor expansion of 1 in y 1.543 * [taylor]: Taking taylor expansion of 0 in y 1.545 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.545 * [taylor]: Taking taylor expansion of 3 in y 1.545 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.545 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.545 * [taylor]: Taking taylor expansion of y in y 1.549 * [taylor]: Taking taylor expansion of 0 in y 1.554 * [taylor]: Taking taylor expansion of 0 in y 1.555 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 3) 1.555 * [approximate]: Taking taylor expansion of (fma y y (pow y 2)) in (y) around 0 1.555 * [taylor]: Taking taylor expansion of (fma y y (pow y 2)) in y 1.555 * [taylor]: Rewrote expression to (+ (* y y) (pow y 2)) 1.555 * [taylor]: Taking taylor expansion of (* y y) in y 1.555 * [taylor]: Taking taylor expansion of y in y 1.555 * [taylor]: Taking taylor expansion of y in y 1.555 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.556 * [taylor]: Taking taylor expansion of y in y 1.556 * [taylor]: Taking taylor expansion of (fma y y (pow y 2)) in y 1.556 * [taylor]: Rewrote expression to (+ (* y y) (pow y 2)) 1.556 * [taylor]: Taking taylor expansion of (* y y) in y 1.556 * [taylor]: Taking taylor expansion of y in y 1.556 * [taylor]: Taking taylor expansion of y in y 1.556 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.556 * [taylor]: Taking taylor expansion of y in y 1.566 * [approximate]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2))) in (y) around 0 1.566 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2))) in y 1.566 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ 1 (pow y 2))) 1.566 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.566 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.566 * [taylor]: Taking taylor expansion of y in y 1.567 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.567 * [taylor]: Taking taylor expansion of y in y 1.567 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.567 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.567 * [taylor]: Taking taylor expansion of y in y 1.567 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2))) in y 1.568 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ 1 (pow y 2))) 1.568 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.568 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.568 * [taylor]: Taking taylor expansion of y in y 1.568 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.568 * [taylor]: Taking taylor expansion of y in y 1.568 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.568 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.568 * [taylor]: Taking taylor expansion of y in y 1.585 * [approximate]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2))) in (y) around 0 1.585 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2))) in y 1.585 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (/ 1 (pow y 2))) 1.585 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.585 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.585 * [taylor]: Taking taylor expansion of -1 in y 1.585 * [taylor]: Taking taylor expansion of y in y 1.586 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.586 * [taylor]: Taking taylor expansion of -1 in y 1.586 * [taylor]: Taking taylor expansion of y in y 1.586 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.586 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.586 * [taylor]: Taking taylor expansion of y in y 1.586 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2))) in y 1.587 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (/ 1 (pow y 2))) 1.587 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.587 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.587 * [taylor]: Taking taylor expansion of -1 in y 1.587 * [taylor]: Taking taylor expansion of y in y 1.587 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.587 * [taylor]: Taking taylor expansion of -1 in y 1.587 * [taylor]: Taking taylor expansion of y in y 1.587 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.587 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.587 * [taylor]: Taking taylor expansion of y in y 1.609 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 1.609 * [approximate]: Taking taylor expansion of (fma x x (fma y y (pow y 2))) in (x y) around 0 1.609 * [taylor]: Taking taylor expansion of (fma x x (fma y y (pow y 2))) in y 1.609 * [taylor]: Rewrote expression to (+ (* x x) (fma y y (pow y 2))) 1.609 * [taylor]: Taking taylor expansion of (* x x) in y 1.609 * [taylor]: Taking taylor expansion of x in y 1.610 * [taylor]: Taking taylor expansion of x in y 1.610 * [taylor]: Taking taylor expansion of (fma y y (pow y 2)) in y 1.610 * [taylor]: Rewrote expression to (+ (* y y) (pow y 2)) 1.610 * [taylor]: Taking taylor expansion of (* y y) in y 1.610 * [taylor]: Taking taylor expansion of y in y 1.610 * [taylor]: Taking taylor expansion of y in y 1.610 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.610 * [taylor]: Taking taylor expansion of y in y 1.610 * [taylor]: Taking taylor expansion of (fma x x (fma y y (pow y 2))) in x 1.610 * [taylor]: Rewrote expression to (+ (* x x) (fma y y (pow y 2))) 1.610 * [taylor]: Taking taylor expansion of (* x x) in x 1.610 * [taylor]: Taking taylor expansion of x in x 1.610 * [taylor]: Taking taylor expansion of x in x 1.610 * [taylor]: Taking taylor expansion of (fma y y (pow y 2)) in x 1.610 * [taylor]: Rewrote expression to (+ (* y y) (pow y 2)) 1.610 * [taylor]: Taking taylor expansion of (* y y) in x 1.610 * [taylor]: Taking taylor expansion of y in x 1.610 * [taylor]: Taking taylor expansion of y in x 1.610 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.610 * [taylor]: Taking taylor expansion of y in x 1.610 * [taylor]: Taking taylor expansion of (fma x x (fma y y (pow y 2))) in x 1.610 * [taylor]: Rewrote expression to (+ (* x x) (fma y y (pow y 2))) 1.610 * [taylor]: Taking taylor expansion of (* x x) in x 1.610 * [taylor]: Taking taylor expansion of x in x 1.610 * [taylor]: Taking taylor expansion of x in x 1.610 * [taylor]: Taking taylor expansion of (fma y y (pow y 2)) in x 1.610 * [taylor]: Rewrote expression to (+ (* y y) (pow y 2)) 1.610 * [taylor]: Taking taylor expansion of (* y y) in x 1.610 * [taylor]: Taking taylor expansion of y in x 1.610 * [taylor]: Taking taylor expansion of y in x 1.610 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.610 * [taylor]: Taking taylor expansion of y in x 1.611 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.611 * [taylor]: Taking taylor expansion of 2 in y 1.611 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.611 * [taylor]: Taking taylor expansion of y in y 1.612 * [taylor]: Taking taylor expansion of 0 in y 1.613 * [taylor]: Taking taylor expansion of 1 in y 1.616 * [taylor]: Taking taylor expansion of 0 in y 1.619 * [taylor]: Taking taylor expansion of 0 in y 1.619 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2)))) in (x y) around 0 1.619 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2)))) in y 1.619 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2)))) 1.619 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.619 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.619 * [taylor]: Taking taylor expansion of x in y 1.619 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.619 * [taylor]: Taking taylor expansion of x in y 1.619 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2))) in y 1.619 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ 1 (pow y 2))) 1.619 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.620 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.620 * [taylor]: Taking taylor expansion of y in y 1.620 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.620 * [taylor]: Taking taylor expansion of y in y 1.620 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.620 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.620 * [taylor]: Taking taylor expansion of y in y 1.621 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2)))) in x 1.621 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2)))) 1.621 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.621 * [taylor]: Taking taylor expansion of x in x 1.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.621 * [taylor]: Taking taylor expansion of x in x 1.621 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2))) in x 1.621 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ 1 (pow y 2))) 1.621 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.621 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.621 * [taylor]: Taking taylor expansion of y in x 1.621 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.621 * [taylor]: Taking taylor expansion of y in x 1.621 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.622 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.622 * [taylor]: Taking taylor expansion of y in x 1.622 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2)))) in x 1.622 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2)))) 1.622 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.622 * [taylor]: Taking taylor expansion of x in x 1.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.622 * [taylor]: Taking taylor expansion of x in x 1.622 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow y 2))) in x 1.622 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ 1 (pow y 2))) 1.622 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.622 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.622 * [taylor]: Taking taylor expansion of y in x 1.622 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.623 * [taylor]: Taking taylor expansion of y in x 1.623 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.623 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.623 * [taylor]: Taking taylor expansion of y in x 1.623 * [taylor]: Taking taylor expansion of 1 in y 1.624 * [taylor]: Taking taylor expansion of 0 in y 1.626 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.626 * [taylor]: Taking taylor expansion of 2 in y 1.626 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.626 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.626 * [taylor]: Taking taylor expansion of y in y 1.629 * [taylor]: Taking taylor expansion of 0 in y 1.633 * [taylor]: Taking taylor expansion of 0 in y 1.635 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2)))) in (x y) around 0 1.635 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2)))) in y 1.635 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2)))) 1.635 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.635 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.635 * [taylor]: Taking taylor expansion of -1 in y 1.635 * [taylor]: Taking taylor expansion of x in y 1.635 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.636 * [taylor]: Taking taylor expansion of -1 in y 1.636 * [taylor]: Taking taylor expansion of x in y 1.636 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2))) in y 1.636 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (/ 1 (pow y 2))) 1.636 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.636 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.636 * [taylor]: Taking taylor expansion of -1 in y 1.636 * [taylor]: Taking taylor expansion of y in y 1.636 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.636 * [taylor]: Taking taylor expansion of -1 in y 1.636 * [taylor]: Taking taylor expansion of y in y 1.636 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.636 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.636 * [taylor]: Taking taylor expansion of y in y 1.637 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2)))) in x 1.637 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2)))) 1.637 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.637 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.637 * [taylor]: Taking taylor expansion of -1 in x 1.637 * [taylor]: Taking taylor expansion of x in x 1.637 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.637 * [taylor]: Taking taylor expansion of -1 in x 1.637 * [taylor]: Taking taylor expansion of x in x 1.638 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2))) in x 1.638 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (/ 1 (pow y 2))) 1.638 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.638 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.638 * [taylor]: Taking taylor expansion of -1 in x 1.638 * [taylor]: Taking taylor expansion of y in x 1.638 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.638 * [taylor]: Taking taylor expansion of -1 in x 1.638 * [taylor]: Taking taylor expansion of y in x 1.638 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.638 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.638 * [taylor]: Taking taylor expansion of y in x 1.638 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2)))) in x 1.638 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2)))) 1.638 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.638 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.638 * [taylor]: Taking taylor expansion of -1 in x 1.638 * [taylor]: Taking taylor expansion of x in x 1.638 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.638 * [taylor]: Taking taylor expansion of -1 in x 1.638 * [taylor]: Taking taylor expansion of x in x 1.639 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow y 2))) in x 1.639 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (/ 1 (pow y 2))) 1.639 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.639 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.639 * [taylor]: Taking taylor expansion of -1 in x 1.639 * [taylor]: Taking taylor expansion of y in x 1.639 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.639 * [taylor]: Taking taylor expansion of -1 in x 1.639 * [taylor]: Taking taylor expansion of y in x 1.639 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.639 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.639 * [taylor]: Taking taylor expansion of y in x 1.640 * [taylor]: Taking taylor expansion of 1 in y 1.641 * [taylor]: Taking taylor expansion of 0 in y 1.643 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.643 * [taylor]: Taking taylor expansion of 2 in y 1.643 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.643 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.643 * [taylor]: Taking taylor expansion of y in y 1.646 * [taylor]: Taking taylor expansion of 0 in y 1.650 * [taylor]: Taking taylor expansion of 0 in y 1.652 * * * [progress]: simplifying candidates 1.652 * [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 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))) (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)))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (* 2 (pow y 2)) (* 2 (pow y 2)) (* 2 (pow y 2)) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) 1.656 * * [simplify]: iteration 0 : 118 enodes (cost 229 ) 1.659 * * [simplify]: iteration 1 : 453 enodes (cost 199 ) 1.666 * * [simplify]: iteration 2 : 1897 enodes (cost 195 ) 1.704 * * [simplify]: iteration 3 : 5002 enodes (cost 191 ) 1.705 * [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 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) (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)))) (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 y y (* y y)) (fma y y (* y y)) (fma y y (* y y)) (fma (pow y 2) 2 (pow x 2)) (fma (pow y 2) 2 (pow x 2)) (fma (pow y 2) 2 (pow x 2)) 1.705 * * * [progress]: adding candidates to table 1.821 * [progress]: [Phase 3 of 3] Extracting. 1.821 * * [regime]: Finding splitpoints for: (# # # # #) 1.822 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 1.822 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 1.844 * * * * [regimes]: Trying to branch on (* x x) from (# # # # #) 1.862 * * * * [regimes]: Trying to branch on y from (# # # # #) 1.886 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.906 * * * [regime]: Found split indices: #